diff --git "a/data/dm_maths/full_data_1/1848_11255.jsonl" "b/data/dm_maths/full_data_1/1848_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1848_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(g) = 2*g**2 + 14*g + 22. Let l be d(-5). Let c(j) = 16*j - j**3 - 6*j - 3 - 7*j - 5*j + 4*j**l. Calculate c(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 3*i**2 + 2*i + 5. Let l = -482 + 479. Calculate b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705226552 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b. Solve 2*c + 1 + 3 = b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/43))**(-26) assuming a is positive.\nAnswer: a**(52\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g - 4. Let o be c(4). Suppose 2*d = 2, 2*d + 46 = -0*h + o*h. Solve -28 = 5*i - 0*i - 4*m, -4*i - 2*m = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**5 - 90*q**4 + 425*q**3 - 350*q**2 - 420*q + 440 = 0.\nAnswer: -22, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-138)\/15 - 2\/(-10). Let h = -4 - p. Suppose 5*x - h*j = 5, 4*x = -x - 2*j + 33. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 + 32 = 3*h. Let k be h\/18 - 8\/(-36). Which is the smallest value? (a) -2 (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 6*m - 36 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3034 = -1109. Suppose -175 = -2*d - y, -y = -4*d + 4*y + c. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 0*g**2 - 15825*g - 15767*g + 31592*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -131032 (base 4) in base 8?\nAnswer: -3516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-1\/4)\/b)\/b)*(b\/(b\/(b*b\/((b**(-2\/5)*b)\/b))*b))\/b)**(-6)*(b**11*b\/(b\/b**(-2\/5)))**37 assuming b is positive.\nAnswer: b**(3703\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 11) in base 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.7057 - -0.1473. Let t = 0.007 + i. Round t to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1081*u + 16220. Calculate p(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from {n: 7, l: 3, t: 2}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3241.\nAnswer: 972.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/24 and 35\/57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 11 = -7. Suppose z*i + 3 + 9 = 0. Let a = i + 49. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23743225 rounded to five dps?\nAnswer: -0.23743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68182111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 3*p - 18, -4*h - 2*p - 18 = 0. What is the nearest to -205 in h, 0.3, -4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 2343 = -39. Let z = 36 - 18. Suppose -d - z = -3*f. What is the greatest common divisor of f and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274031662?\nAnswer: 2, 7243, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*u + 9 = -3*z + 77*u, 0 = -5*z - 5*u - 10. Let l = -0.02 + -0.38. Which is the nearest to -1? (a) -2 (b) l (c) 5\/2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**5\/45 + 2*c**4\/9 + 2*c**3\/9 - 20. Solve f(b) = 0 for b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3304\/8673*6\/(-4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let s = -117.97 - -118. Let n(k) = -k**2 - 6*k - 1. Let t be n(-5). What is the nearest to q in t, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/273 - (-1060)\/(-30).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.2. Let p = 30 - 29.5. Which is the closest to q? (a) 3\/2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/96)\/(39060\/83328))\/(26\/(-126))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14957030 and 7264?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 - -1516b?\nAnswer: 15108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190419 is divided by 63465?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.77 * 29.86\nAnswer: 172.2922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) + -1)**2*6.\nAnswer: -240*sqrt(5) + 12006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/12 + z**3\/3 - 3*z**2\/2 + z. Let x be f(-3). Which is bigger: x or -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35649939.\nAnswer: 3, 13, 107, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dba + -7?\nAnswer: -dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(5\/4)\/((x**(2\/9)\/x*x)\/x*x*x**(2\/13)\/x) assuming x is positive.\nAnswer: x**(-439\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 386940.3 litres?\nAnswer: 386940300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 - 5*i + 3*i)*(9 - 9 - 2*i**4).\nAnswer: 4*i**5 - 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/650 and -93\/350.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 890621989 + 2*d - 890621989.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q + 45. Give l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 117 = -q, 10*q - 565 = -585 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/((-435)\/42630)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 25*i**2 + 2*i - 41. Let a be k(25). Solve 0*d - a = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - s - 3 = -27*j, -5*s = -2*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47668.5 times -5\nAnswer: -238342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 4*t - 42 = 0, 2*a - 266*t + 2 = -262*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367 + 6?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 50. What are the prime factors of z(-23)?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(128) + (sqrt(128) - (sqrt(128) + -1*sqrt(128)))) + -4 + ((sqrt(150)\/sqrt(5) + sqrt(30))*5)\/(sqrt(40)\/sqrt(64)))**2.\nAnswer: -321*sqrt(3) + 310147\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 + 4*j - 3. Let c be i(2). Does 2 divide (10 + 0)\/(c - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/18 - 4) + 8\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(5*((-1*sqrt(1215) - sqrt(1215) - sqrt(1215))*-2)\/((sqrt(108)\/sqrt(3))\/sqrt(12)*3))**2.\nAnswer: 80999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1074, -1229, -1368, -1485, -1574, -1629, -1644, -1613?\n\"Answer: q**3 + 2*q**2 - 168*q - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4 - 10 - 24 + 6*x + 3569*x**2 + x - 3568*x**2 = 0.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a3317 (base 11) in base 3?\nAnswer: -1012012121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*o = -60787, -4*h + 31*o - 28*o = -48633. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(17) + -2 + sqrt(612))**2 - sqrt(17)) + -5 + -3*(sqrt(34)\/sqrt(2)*3 + -3) + 2 + 2.\nAnswer: -38*sqrt(17) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (12 + -34 + 52).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-136)\/(-40))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(363) - (4 + 2*sqrt(363)) - sqrt(363))*-1 - 6*(-2*sqrt(363)*-1 + -1))**2.\nAnswer: 9504*sqrt(3) + 209412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - f - 3*f + 10 = 0, -2*f = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*n + 1)*(0*n + 3*n - 4*n)*(-15*n + 2*n**3 + 15*n).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.2 (b) 1.7 (c) -1\/4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82822 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13404811?\nAnswer: 7, 61, 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 4*y**2 - 3*y - 6. Let o be s(5). Suppose -q - o + 8 = 0. Suppose 2 = -i + q. Which is the third biggest value? (a) 0.5 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let j(t) be the first derivative of 0*t + 1\/2*t**2 - 19. Determine r(j(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (348\/40)\/29*5\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442 by -34.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 24*b - 13. Give k(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1575?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*f*o**3*s - 3*f*o**2 + 521*o**3 + 7*o**2*s wrt s?\nAnswer: -69*f*o**3 + 7*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1725434*a**2 - 130*a - 581 wrt a?\nAnswer: -3450868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904\/9438*-6*3\/12?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, j: 1, r: 10, p: 2, m: 3}. What is prob of picking 2 x, 1 m, and 1 r?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.7 in 2, 7, 28\/3, -14?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20840847*b**4 + 8*b**2 + 36564083*b wrt b?\nAnswer: -500180328*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5355 - -26773\/5. Let m be -3 + 3 - (-2)\/(-12). What is the closest to 3 in v, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 5*a**2 - 2*a + a + 0. Let u be r(2). Let i be (10\/(-4))\/(30\/(-24)). Solve -u = -5*z + 2*y + i*y, 3*y + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217013 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: Four letters picked without replacement from {h: 2, r: 4, d: 2, v: 4}. What is prob of sequence rrrr?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*q - 4*l = 226*q + 27, 5*q - 2*l - 21 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155 is divided by 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -84 - n**2 - 83 - 9*n**2 + 168. Let h = 2 - 3. Let g = 2 + h. What is l(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27739790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.47751 - 1286.49751. Let h = w - -1297. Let v = h - 12. Round v to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, 3, 1, 5 in increasing order.\nAnswer: -3.5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 + 1. Let j be n(4). Let z(a) = -33*a + 30837*a**3 - 30789*a**3 - 19 - 14. Let b(q) = 3*q**3 - 2*q - 2. Give j*b(y) - 2*z(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 5\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1791 or -2605?\nAnswer: -1791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/14)\/(25 - (-7845)\/(-315)). Solve 4*p - 3*y = -2*y - i, -2*p + 3*y - 22 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55469 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -299*g**3 - 27*g**2 - 4*g + 2. Let x(a) = 1793*a**3 + 162*a**2 + 26*a - 13. What is -13*f(d) - 2*x(d)?\nAnswer: 301*d**3 + 27*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27907*b + 5551486 = 27974*b. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126437 = 126448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 20. Solve q - 3*v + 4 = -l*v, 3*v = -q + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) -2\/11 (b) 2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a\/(a\/(((a*a**(5\/11)*a*a*a)\/a)\/a))*a*a)\/a*a**(11\/2) assuming a is positive.\nAnswer: a**(241\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 2)*(2*m**3 + m**3 - 2*m**3).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 237. Let x(w) = 13*w + 711. Let f(m) = 7*u(m) + 2*x(m). Let a be f(0). Find the common denominator of 6\/8 + a\/(-24) and 101\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 2181375?\nAnswer: 2181373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*28\/(-16) - (-65)\/((-24050)\/999))*17.\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (2 + 0)*-1. Let c be (-75)\/15 - 3*2\/(-3). Let g be (c + 3)\/((-4)\/2). Solve i*u + 4 = -g*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 j when three letters picked without replacement from ppjpxuoxjoxxpx?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 4, 4592, 0, 5 in decreasing order.\nAnswer: 4592, 11, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 81, -509, -4, -14.\nAnswer: -509, -14, -4, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - -36) + (5 - (5 + 4))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0 (b) -1 (c) 2 (d) 0.3 (e) -51 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119149\/69 or -1728?\nAnswer: -119149\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 262 = -3*w, -2*s - 385 = -5*w. What are the prime factors of w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -970, -939, -892, -823, -726?\n\"Answer: g**3 + 2*g**2 + 18*g - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m + 0 - 1\/2*m**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 14. Let i be g(0). Let k(q) = q**2 + 13*q + 30. Let l be k(-9). Let t be (0 - -1)*(i + l). Calculate the greatest common factor of t and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174\/174*4\/(-86)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 0.5 (c) -2\/447\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqn when four letters picked without replacement from {n: 3, q: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4*10*90\/(-720)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 12 = 0, -15 = 5*c - 626*z + 631*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10473 to the nearest one hundred.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397859\/40 + -9947. Find the common denominator of u and 1\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 + -228 - (-2 + 1 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.4755 + 9.300679. Let k = -0.174 - v. Round k to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 16. Suppose -29*x + 31*x = b. Suppose x*i = -0*i - 56. What is i rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-275)\/11*21\/(-5). Let g(r) = -3*r**2 + 13*r + 9. Let p be g(5). Let f be 22 + (2 - 4) + (p - -2). What is the highest common divisor of h and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(228))\/sqrt(12) + sqrt(19)*3*-3)*5.\nAnswer: -40*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.03 - -0.03. Let q = -0.065 + 0.165. What is the nearest to q in o, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = -4*a, a - 3*a = 3*t + 3. Let h(o) = 93 + 160 + o - 14. Is h(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(200) + 1 + -3*(sqrt(200) + -1) - (4 + sqrt(200)*1 - 1*sqrt(200)*1))**2.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 5*w + 3. Let a be m(3). Let l be (-4)\/a*9\/6. Suppose -2*q = -4*q + 2. Is l not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 106*b - 20. Let j(a) = 21*a - 4. Suppose -s - 8 = -4*i + 1, -9 = -5*s + 2*i. Let h(o) = s*v(o) - 16*j(o). Differentiate h(n) with respect to n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53, -242, -549, -968, -1493, -2118, -2837?\n\"Answer: o**3 - 65*o**2 - o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = 2*n. Suppose -v - 256 = -2*m, n*v - 2*v - 384 = -3*m. Suppose -l = -5*l + m. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 69, 148, 257, 396, 565, 764?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 666250051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**6\/90 - 4*a**5\/15 - a**4\/36 + 8*a**3\/9 + 172*a. Factor r(y).\nAnswer: y*(y - 16)*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*g = -25, 0*g = g + 5. Suppose 3*t - 6 = -0*t. Sort t, -4, c in decreasing order.\nAnswer: t, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02559861 + 0.2.\nAnswer: 0.22559861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/((-14)\/28). Suppose u*l - 163 = -2*n, -n - l + 159 = n. What are the prime factors of n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*q - 2*u + 25, 5*u = -10. Suppose -4 = -5*a - 24. Let h = a - q. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282 and 32649?\nAnswer: 3069006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 0.4 (b) 28 (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-2 + (41\/17)\/(1188\/40392).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6543682 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + a. Let m(g) = -13*g**3 - g**2 - 2*g. What is m(j) + o(j)?\nAnswer: -13*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 + a. Let i(y) be the second derivative of 0 + 42*y - 1\/6*y**3 - 1\/12*y**4 + 0*y**2. Give 5*i(h) + x(h).\nAnswer: h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20*x**3 - 46*x**2 + 29*x. Let a(m) = -7*m**3 - 16*m**2 + 10*m. What is 17*a(b) - 6*r(b)?\nAnswer: b**3 + 4*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p + 2. Let x be j(0). Solve -5*s + t + 15 = -x*t, 2*s - 6 = t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 28 = -9*h. Solve -29 = 4*n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309 - 216. Suppose -111 = -2*t + 3*b, 3*t - 3*b + s = 258. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y - 66. Let j = -47 - y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 = 4*g, -3*h - 8 = -8*h + g. Solve h*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7009, -335, 9, 2.\nAnswer: -335, 2, 9, 7009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-12))\/5 + (-10944002)\/(-8). Suppose 3*t - 2*z = -n, 0 = t + 17*z - 14*z + 456000. Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**2 - 1 + 298*k**3 - 98*k**3 + 321*k**3 + 76*k.\nAnswer: 521*k**3 - 17*k**2 + 76*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100100323 (base 4) to base 15\nAnswer: 14b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15970 is divided by 2550.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-10))\/(1\/((-120)\/16)). Let u(r) = r**3 + 19*r**2 + 17*r - 15. Let z be u(m). Solve f = -2*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15191104?\nAnswer: 2, 237361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/1)\/((-19488)\/11368).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.2 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42439384 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + y = 613, -1218 = -2*m - 0*m + 2*y. What are the prime factors of m?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3459957 divided by 3459957?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**3 + 4*c**3 - 6*c + 4*c**3 to the form q*c + s + f*c**3 + i*c**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z + 85. Let h be g(10). Factor 15 + 42*x + 15*x**3 + 40*x + 18*x - h*x - 35*x**2.\nAnswer: 5*(x - 3)*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 e when four letters picked without replacement from {h: 2, e: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277.127 millilitres to litres.\nAnswer: 0.277127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 = 4*y + 26, 3*y - o = -30. Let s(l) = l**3 + 8*l**2 - 8*l + 11. Let t be s(y). Suppose -11*m = -t*m - 1413. What are the prime factors of m?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 39. Calculate d(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -9, 31?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/490 and -69\/28?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (1026\/(-133) - 5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**3 + 8*r - 8*r)*(r - 3*r + r)*(1 + 0 - 3)*(-6 + 2 + 2).\nAnswer: 44*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10170704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 2)*(-2*l + 2*l - l**2) + 2*l - 2*l + 3*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31645\/6 + (-145)\/(-174). Suppose 0 = 5*u - 3*h - c - 295, -h + 5 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssnnnnnnn. What is prob of sequence sn?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.19860442 to one dp.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m, 3*n - 37 = -0*n - 5*m. Suppose 0 = 3*z + p - 5617, -3*p + 4590 = -n*z + 12075. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*((-3)\/(-2))\/3. Let i = j + 13. Let p(g) = 57*g - 1532. Let v be p(27). Are v and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 30 - 34 = 0. Suppose m*i - 14*i = 76. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**4\/48 - u**3\/12 + 41*u. Suppose v(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/348 and 38\/544533.\nAnswer: 2178132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 112. Suppose -2*l + 4 = a*w - 4*l, -3*w = 2*l - 10. Let 0*m - 2\/9*m**3 - 2\/9*m**w + 0 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrxli. What is prob of sequence rvli?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2 - 10 + 3 + u to the form s + t*u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99*(159\/(-9))\/53?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 3*b - 229076 + 229616 = 0 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.53 - -15.83. What is the second smallest value in g, 0, 4.546?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8994 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12180*m + 12187*m - 13*m**3 + 14*m**3 - 24367*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 33720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -126.52139 and 7429475.\nAnswer: 7429348.47861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 205 (b) -4 (c) -13664 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3 + 1. Let b(n) be the first derivative of 5\/2*n**2 - 3*n + 1\/4*n**4 - v - 2*n**3. Calculate b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371.99 - 376. Let t = 0.01 + j. Suppose -3*s - 5*s = 16. What is the nearest to s in -0.4, -5, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(3\/(-18)). Let q = n - 9. Is 67*q*1\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287905787 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.1\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 9*w = 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 9*k**2 + 8*k - 3. Let r be -4 - 85\/(-10)*2. Suppose -r = -y + h, -5*y + 60 = h - 5*h. Calculate u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/19235 - 1481107\/230820. Let l = 12\/655 - 47911\/5240. Find the common denominator of l and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 16 = -7*o. Suppose 5 + 3 = o*i. What is the third derivative of -296*n + 4*n**i + 296*n - 5*n**3 wrt n?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -e?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 6*j - 2*j - 8, -4*j = -12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/53 - -45\/424. What is the second biggest value in h, 0.5, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48490*r**2 + 61*r**3 + 97028*r**2 - 48538*r**2.\nAnswer: 61*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 4 + i - 3 + 7*i**2. Suppose 20 = -2*t + 4*t. Calculate the remainder when t is divided by z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) + (-236)\/6. Let p = -65 - l. Let s = p - -37. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/(3\/(-9)*-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*u + 41 = -0*u, -5*t - u = -80. Let h(f) = f**2 - 26*f + 41. Let s be h(25). Is s at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + -223. What is the common denominator of (-6)\/w*1320\/16 and -41\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -5, -22, -55, -110, -193, -310, -467?\n\"Answer: -y**3 + y**2 - 3*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(-7)\/(i**(-1\/3)*i*i**(1\/8)))\/((i*i**(-1\/2)*i)**(8\/5)\/(i\/(i*i*i**(-2\/5)\/i*i*i))**49) assuming i is positive.\nAnswer: i**(-9511\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2558542, 2558641, 2558742, 2558845, 2558950?\n\"Answer: w**2 + 96*w + 2558445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(p - 3*p + p)*(0 - 7*p + 0).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6)*(-6)\/(-24))\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 3*y + 2*y)*(0 - 1 - 1) - 4*y + 0*y + 2*y - 2*y - 3*y + 3*y + (-6*y + 3*y + 4*y)*(3 - 1 - 3) + 0*y - y + 0*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -14. Suppose k = i + s - 2*s, 0 = 4*i + 3*s - 41. What is the remainder when 30 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(11) + -1 + sqrt(11))*-1 + sqrt(11)*-1 + -2)**2*1.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*q = -u - 24, 5*u - 2*q - 24 = 0. Suppose 0 = h + 4*w - 9, -3*h + 8*h + 3 = u*w. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1850081 is divided by 4458.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:16 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1185 in descending order.\nAnswer: 5, 2, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/969744 and -59\/587044.\nAnswer: 1599107856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23795 * -0.2.\nAnswer: 4759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4726 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -44*w**2 - 7*w + 23. Let d(u) = -u**2 + u - 3. Let v(p) = 7*d(p) + o(p). Let s(l) = -4*l**2. Determine s(v(t)).\nAnswer: -10404*t**4 + 816*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**3 + 0 + 1\/12*i**5 + 0*i**6 + 1\/14*i**7 + 0*i**4 - 10*i**2 + 0*i. Find the third derivative of w(s) wrt s.\nAnswer: 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 3*s + 36 = 0. Let d(y) = -8*y**2 + 3*y. Let u(z) = -143*z**2 + 55*z. Calculate s*u(n) - 55*d(n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(625\/4500).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 964 * 7\nAnswer: 6748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 3759*f + 26365. Let i be v(-7). Find n, given that -82\/5*n**2 - 2\/15*n**i - 137842\/15 - 3362\/5*n = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1692 by 324.\nAnswer: -47\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(34\/(-8) - -2). Let j be (-2860)\/195*9\/(-6). Let b = j - x. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 148. Is (79\/(-3) - (-2)\/(-12))*u a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 + 75*v**2\/2 - 309*v\/4 + 39.\nAnswer: 3*(v - 1)**2*(v + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 + a + 1. Let u be m(0). Suppose 4*p - 7 - u = 0. Let r be (p + -24)\/((-4)\/14). Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvm. Give prob of sequence uv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**7\/420 - j**6\/120 - j**5\/120 + j**4\/24 - 379*j**2. Factor z(u).\nAnswer: u*(u - 2)*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 245\/4. Let u be (-9)\/(-6)*(-40)\/(-12). Which is the closest to 1? (a) u (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.4, 3\/4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4056)\/56 + -6)\/((-50)\/35). Which is smaller: 54 or y?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -123*z**2\/4 - 130989*z\/4 + 3195\/2 = 0. What is z?\nAnswer: -1065, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 290424103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/1*(-1 - 0). Let q(y) = 17*y - 4*y - 2 - r. Let x be (-1)\/(-3)*12\/2. Let m(a) = -3*a + 2. Give x*q(j) + 9*m(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.669 + 0.701. Let o = w - -4.28. Round o to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6976 - 6974. Which is the nearest to 0.06? (a) j (b) 24 (c) -1\/2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 127?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - (1 - -1)). Let x(g) = -g. Let h(f) = -f**2 + 8*f - 6. Let s = -18 - -24. Let q be h(s). Let v(b) = 2*b**2 - 7*b. Give a*v(m) + q*x(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(4*r**3 - 5*r**3 - r**3) + 0*r**2 + 3*r**3 + 0*r**2 + 2*r**3 - 4*r**3 + r**3 in the form z + a*r**3 + n*r + m*r**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 54. Suppose 5*b + 3*r - 22 = b, -r = -b + t. Solve b*y - 8 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17ba9 (base 13) to base 8.\nAnswer: -131562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*n + j + 54, -3*n + 54 = j. What is the smallest common multiple of n and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827 (base 16) in base 13?\nAnswer: 14963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 1 - m**2 - 5*m)*(632*m - 438*m - 307*m).\nAnswer: 113*m**3 + 113*m**2 + 113*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -2, 3, 24.\nAnswer: -2, -1, 3, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 940 = -q, -3*v - q - 950 = 2*v. Let c = 209 + v. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -1\/4, 5, -88, 0, 34 in decreasing order.\nAnswer: 34, 5, 2, 0, -1\/4, -0.5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 - -613.3. Round x to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801793, 1603587, 2405381?\nAnswer: 3207175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 28 = -3*t, 18 = 2*t - 5*v + v. Let r = t - -3. Solve -4*y + 6 = -r*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224125 is divided by 292.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 139*v - 9 + 47*v + 52*v. What is the remainder when u(-19) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = q - 2. Let i(t) = t**2 - 8*t - 11. Let b be i(9). Sort b, 0, q in decreasing order.\nAnswer: 0, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158346849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9, g + 70*r = 69*r + 1158. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36869 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r*u**2 + 2*r*u + 354*r - 2*u**2 wrt u.\nAnswer: 10*r*u + 2*r - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -8)*2\/(-4). Suppose 5*h - c = -24. Let m(t) = -14*t + 2. Is m(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100000011101111 (base 2) in base 11?\nAnswer: -56800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(612) + 2 + sqrt(612))**2*5.\nAnswer: -120*sqrt(17) + 12245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -3*y**7\/70 - y**6\/10 + 4*y**5\/15 + 2*y**4\/9 - 8*y**3\/9 + 23*y**2. Find t such that w(t) = 0.\nAnswer: -2, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 793 = 781. Let k(b) = -b - 3. Determine k(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 50838*n - 203400.\nAnswer: 3*(n - 4)*(n + 16950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2*c**6\/3 - 152*c**5\/5 + 174*c**4 - 1216*c**3\/3 + 466*c**2 - 264*c - 2461. Determine k, given that q(k) = 0.\nAnswer: 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - f - 4*f - 266 = 0, 10*a - 11*a = -2*f - 113 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.3, -6, -4\/9, 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 5018968.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119 + (-414)\/(-16) + (-2050)\/(-16400).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 147 = 99. Let t = -155 + q. Suppose 0 = -5*u - 3*c + t, -4*u - 27 = -5*c - 85. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(6\/13)*t)\/(t*t**(-8)))\/(((t**(-1\/2)*t*t)\/t)\/(t\/(((t\/(t\/((t**(-4\/5)\/t*t)\/t)))\/t)\/t))) assuming t is positive.\nAnswer: t**(1669\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 - k**4\/24 + k**3\/3 - k**2. Let f = -22 - -22. Let s be d(f). Solve v = -v - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(147)*2)**2*-4 + -1.\nAnswer: -2357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -54278937.85538\nAnswer: 54278909.85538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260170419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*q**2 - q**2 - 10*q + 2*q**3 - 50*q**2 as k*q**3 + s*q**2 + b + t*q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 3*v**5\/20 + 11682*v**2. Let n(c) be the third derivative of -25*c**4\/24 - c**2. Determine n(l(p)).\nAnswer: -225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113961 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + i + 15 = 0, -2*i = 2*b + 30 - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 25 = -57. Let r be ((-7)\/2 - 4\/j) + 35. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2704, 4808, 6918, 9034, 11156?\n\"Answer: 3*u**2 + 2095*u + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*(14 - -4). Let h be (a - (3 - 2)) + -3. Suppose -1 = -3*o + s - 0, -h*o + 4*s - 10 = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56679.9586 rounded to the nearest 1000?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:23 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12322 - 12307. Calculate the smallest common multiple of 173 and l.\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -5 - -5) + (3 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1496961 (base 12) to base 3\nAnswer: -21212100102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337337 greater than or equal to 337338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 667 = 5*y, -4*y + 3*f - 4*f + 533 = 0. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*n - 2, 2*n = 3*c + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 531464208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Let u be ((-4)\/v)\/(2\/(-6)). Find the second derivative of -2*k + 3*k**2 + u*k - 3*k wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 290 - 2*u**4 + 292 + 6*u to n*u + i + z*u**2 + d*u**3 + p*u**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 - 44*j - 1101. Give s(-10).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*p + 13 = 3*g, 0 = -2*g + 2*p + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 - (128 - 133). Suppose -10*i + 15*i = 2*p - 3142, 4751 = m*p + 2*i. What are the prime factors of p?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314.936 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2975593595 to the power of 1\/2, to the nearest integer?\nAnswer: 54549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 307943088 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 8*z**3 + 30 - 2*z**3.\nAnswer: 6*z**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218386623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + y + (2 + 2 - 5)*(-2*y + 0*y + 3*y) - 4*y + y + y + 3*y - 7*y + 2*y + 0*y - y - y + (-y + 3*y + 0*y)*(-1 + 5 + 1))*(2 + 20 - 1).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52104 divided by 8?\nAnswer: 6513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13484\/27 - 500. Find the common denominator of r and 43\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 2. Let q(b) be the second derivative of -b**2\/2 + 5*b + 4. What is 6*q(t) + x(t)?\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -158292?\nAnswer: 158293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 0.1 (b) 1\/5 (c) -2\/9 (d) -7 (e) 7.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 20. What is q(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 - -263. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 - -113.000548. What is c rounded to five dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 51, -4, -3\/5, 0.1, -10, 1.291?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.2 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let m(i) = -5*i - 6*i**2 + 0 + 0. Let f(a) = a**2 + a. Let g(d) = 5*f(d) + m(d). Give g(n(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 69*d**2 + 113*d + 12058. Give r(-67).\nAnswer: -4491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 138122\/(-10) - 6\/(-8). Let u = o - -13815. Calculate the common denominator of u and (-38)\/(-12)*54\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 793 = -5003. Calculate the greatest common divisor of 28 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + 1*sqrt(931) - ((sqrt(931) + 4*sqrt(931) + sqrt(931) - sqrt(931))*5 + -3))**2.\nAnswer: -1344*sqrt(19) + 536272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11192, 11170, 11158, 11168, 11212, 11302?\nAnswer: 11450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19422 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9645 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmllmlcjcmlmmclmmmm. Give prob of sequence cljc.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8526 - -8582. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574669*i + 6512 = 574581*i for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a minute in seconds?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 2*r + 51 + 0*r + 53.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 499*a - 2987. Calculate b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 7, q: 4}. Give prob of sequence fqq.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -9121.168?\nAnswer: -6384.8176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*q**5 - 9*q**3 + 9*q**3)*(2 + 2 - 7) - 3*q**5 - 2*q**5 - 3*q**5.\nAnswer: -281*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 25*r - 247. Let b be w(43). Let n = -806 - -1415. Suppose n = -4*j + b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/20, 5.666, -4\/35?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**8\/20160 + j**5\/20 + 3*j**2. Let a(g) be the third derivative of f(g). Let h(v) = 2*v**2. What is a(h(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 49, 34, 13, -14, -47, -86?\n\"Answer: -3*f**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 9*l - 2. Let c be t(11). Let w = c - -28. Calculate the least common multiple of 3 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1053669\nAnswer: 1\/1053669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 8:09 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 16218 - 13591 = 29537. Calculate the smallest common multiple of o and 2355.\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**6\/165 - 3*h**5\/55 - 13*h**4\/66 - 4*h**3\/11 - 4*h**2\/11 + 4*h. Determine r so that z(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2 + 264*q - 218?\nAnswer: 4*q + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-36))\/(1 - 8\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1421 and 70.\nAnswer: 14210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*y = 0. Let p = -5\/13 + 38\/65. Determine l, given that 0 + 0*l**3 + y*l - p*l**2 + 1\/5*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 58*p. Let a(o) = -2*o**2 - 116*o. What is -3*a(y) - 5*k(y)?\nAnswer: y**2 + 58*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225531073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67562 is divided by 16889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1105936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 2552879425.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -4*w**2 - w - 1. Let c be (-4 - -2)*6\/4. What is the remainder when g(c) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2. Let t(i) = 8880 - 8880 - 3*i. Determine r(t(a)).\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(-2 - (3 + (-228)\/46)). Let b = 100\/253 - g. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 3.5239, 21\/16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/4)*u*u**11\/u*u)\/(u**7\/(u*u**(-8))) assuming u is positive.\nAnswer: u**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1299, 5185, 11661, 20727?\n\"Answer: 1295*h**2 + h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 11*k**2 - 10*k + 4. What is the remainder when 34 is divided by w(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.78, 2.9, 0.2, 2, -3, -7, -8 in ascending order.\nAnswer: -8, -7, -3, -2.78, 0.2, 2, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.2 - -12. Let o = -2 + -8.4. Let w = j - o. Which is the third biggest value? (a) 1\/3 (b) -4 (c) w (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777913 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4925699 is divided by 16927.\nAnswer: 16869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-32) + (-9759)\/(-4). What is m rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g - 76. Let u be j(-6). Let s(n) = -123 + u*n - 119 + 242. Let d(q) = 26*q. What is d(s(r))?\nAnswer: 208*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 95. Give o(12).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 17. Let w(q) = -3*q + 25. Let h(y) = 7*b(y) + 5*w(y). Let s be h(-10). Let o = -23 - -31. What is the greatest common factor of o and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*h = -4*g + 6, 3*g - 32 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 33, 42, 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 56 = 2*x, -7*x = -2*x + h - 140. Suppose 4*t - 444 = -0*t. What is the remainder when t is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 1\/8*n**4 + 2*n - 48*n**2 + 0 + 0*n**3. Let k(r) = 5*r**2. Determine f(k(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 15. Let t = j + -10. Let w = 0.18 - 0.08. Which is the nearest to 1\/3? (a) 1\/4 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 324? (a) -0.9 (b) -7 (c) 2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3017 + 3005. Which is the closest to 1\/4? (a) w (b) 0 (c) -4 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c. Let v(n) be the third derivative of -5*n**4\/24 - 19*n**2. Calculate v(p(g)).\nAnswer: -70*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**6 - 5*l**4 + 8*l**2. Let k(c) = -10*c**6 + 8*c**4 - 12*c**2. Let h(x) = 5*k(x) + 8*r(x). Find the third derivative of h(t) wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -11*q - 1. Let r be n(4). Calculate the remainder when 245\/9 + 10\/r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/4 of a millisecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 7249278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (7 + 2 + -3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-2)\/f))\/f*f)\/(f\/(f**5\/f)))**11*(f**1)**(-2\/15)*f**4*(((f*f**4)\/f)\/f)\/f assuming f is positive.\nAnswer: f**(1243\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-4))\/((-1)\/4). Suppose -3*m = -u*m - 16. Let s be (-1 - m) + 69\/(-21). Which is smaller: s or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 90. Let n = j - -32. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*c + 31928 - 2406 = 307*c + 2138 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 + -214. Let j be (-18)\/4*u\/48. Suppose c - 2 = 2*p, 8*c - 3*p = j*c + 4. Solve x - 8 = c*f, -4*x + 2*f = -x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*v = -26, 3*d + 3*v = -d - 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/30704 and -131\/60?\nAnswer: 460560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 12. Let v(n) = n - 1. Let o be v(g). Suppose o*l + 11 - 66 = 0. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2336235, -9344946, -21026135, -37379802, -58405947, -84104570?\n\"Answer: -2336239*h**2 + 6*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 5*s + 4. Calculate the remainder when (-2)\/3 + (295\/15 - 0) is divided by h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 9*z**2 - 11*z - 7. Let r(g) = -g**2 + 8*g + 11. Let n be r(9). Let s(x) = 5*x + n*x**3 + 3 - 2 + 2 - 4*x**2. What is -3*d(h) - 7*s(h)?\nAnswer: h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 329 = 299. Let c(f) = f - 16. Let w(p) = 5. Let g(t) = 2*c(t) + 7*w(t). Let l(r) = r + 1. Suppose 0 = 3*a - 7 + 1. Give a*g(m) + h*l(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 253992 to the power of 1\/7, 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 7875027 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Let k = -3\/94 + 215\/846. Suppose -5*i = -2*i - 12. Which is the closest to -1\/2? (a) i (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + 2*f + 1. Determine h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 + 165. Let f be (1\/(a\/40))\/(2\/(-3)). Calculate the highest common divisor of f and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*c - 72, -4*t + 765*c + 116 = 769*c. What is the remainder when 1141 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) -10 (c) -23\/5 (d) -0.5 (e) -7\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7055 and 24140?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -4 + (8 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5841319*v**4 + 27711*v - 5?\nAnswer: 70095828*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -27*a**3 - 1070*a - 10. Let l(b) = 8*b**3 + 356*b + 3. Determine -10*l(j) - 3*r(j).\nAnswer: j**3 - 350*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304 + -291. Let c(g) be the first derivative of g**4\/4 - 13*g**3\/3 + g**2\/2 - 7*g - 1. Calculate the remainder when 10 is divided by c(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/72 + (-21)\/(-189)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 293*k**2 - 200*k**2 to the form l + g*k**2 + n*k and give g.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + (1 - -3) - 0. Put 1, g, -12 in ascending order.\nAnswer: -12, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -5.\nAnswer: -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 9 = 3*a, a + 2*j = 2. Suppose -6*l + 20 = -a*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-14) + 6\/42\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -26*z**2. Let m(i) be the second derivative of -i**4\/12 + 49*i. Give n(m(d)).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1265)\/69*1*3*20\/(-50).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*c**3 - 255*c**2 + 255*c**2.\nAnswer: -204*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 85571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 40 = -0*o. Let d be (o\/16)\/((-1)\/112). Suppose 7*k = 3*k + d. What is the least common multiple of k and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -28 + (7 - 4 - (-4 - -1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-105))\/(39\/(-21)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653776 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703115340 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 104, 163, 222, 281, 340?\n\"Answer: 59*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 + 12 = 0. Let n be -2*(z - (-3)\/6). Let j(f) = -5*f**2 + f - 1. Let v be j(n). Put v, -4\/3, 0.2 in increasing order.\nAnswer: v, -4\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*z**2 - 12*z - 15 wrt z.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(228)*-2)\/(-1*sqrt(12)*4 + sqrt(12) - sqrt(12)) + (-2*sqrt(684) + -1)*2).\nAnswer: 8 + 98*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6292 and -111\/176.\nAnswer: 25168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*8\/84*7\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(2\/39)\/w)\/w)\/w**12)\/((w**20\/w)\/w**15))**15 assuming w is positive.\nAnswer: w**(-3500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-7)\/105*5)*(-1300011)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1481094 = -u. Let x = 1100547 - u. Round x to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -18*l - 82. What is the common denominator of 149\/6 and 6\/9 + (-960)\/(-369) + l?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 3. Let v(z) = z - 4. Let p(o) = -2*r(o) - 3*v(o). Let q be p(-6). Suppose q = -0*n + 4*n - 20. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 3*v + 0*v**2 + 1\/3*v**3 + 0. Let u(c) be the first derivative of 37*c**2\/2 - 1447. Give u(p(w)).\nAnswer: 74*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (4 - 4\/(-2)). Solve g = -2*z - 10, 21 = -s*g + z - 4*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696182\/765 not equal to 3523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1101011011?\nAnswer: 1101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 499930.29 nanoseconds in hours?\nAnswer: 0.000000138869525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 70*l - 129*l + 2 + l**2 + 0 + 66*l. Suppose 5*b + 8 = -4*p, -3 = -2*p - 3*p - 3*b. Suppose p*v + 3*u + 9 = 0, -2*u + 0*u = 0. Give s(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 + 4*m + 3. Let i be a(-2). Let g(b) = 25 - 3*b - 75 + b + 49 - b**2. Determine g(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 - s - 2. Let v(a) = 2*a**2 + 2*a + 3. Suppose -3*k = -2*k - 4*y + 16, -3*k - 5*y = -3. Let n be 4\/3*9\/k. Give n*q(w) - 2*v(w).\nAnswer: 5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(1\/2))**(-36)*((o**0)**(12\/7))**(10\/19) assuming o is positive.\nAnswer: o**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.243? (a) -3 (b) -11\/12 (c) 5 (d) -4 (e) 1\/3 (f) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 0.2 (c) 0 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059536 is divided by 3677.\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42761192 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 2 (b) 0.5 (c) -73 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iizvqiqzzizzzvziv. What is prob of sequence zviq?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 86.41?\nAnswer: -89.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13247*a*y*z**2 - 22809635*a*y + 14*a*z**2 - 2*a - 35*y*z - y with respect to z.\nAnswer: 26494*a*y*z + 28*a*z - 35*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932.543 - 932. What is g rounded to 2 decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5*l + 1. Suppose 0 = -3*t - 10 - 8. Let m be f(t). Let c = m - 48. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 5, e: 1, x: 8}. What is prob of picking 3 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuu when three letters picked without replacement from {g: 1, c: 2, u: 4, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j*j\/j**(4\/5)*j**(3\/22))**(-18))**(-23) assuming j is positive.\nAnswer: j**(98739\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46188 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 + 17*z**2 - 18. What is i(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.3. Let m = -36.612 + 37.1. Let z = 0.288 - m. What is the nearest to z in a, 3\/2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/20*2068\/(-658)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56011.4 + 1\nAnswer: -56010.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -200317000.4 rounded to the nearest ten thousand?\nAnswer: -200320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2306*s - 2199*s - 3301*s + 2 to the form f + g*s and give g.\nAnswer: -3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8193*d*k**2 + d*k*x**2 + 2*d*k*x + 3*d*x**2 - 48*d*x + 2*k**4*x**2 - 23*k wrt k?\nAnswer: 16386*d + 24*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 533846921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 436.868.\nAnswer: 5242.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 2 + 2)*(5944*o**3 - 13 + 1 - 5936*o**3 - 2*o) to f + s*o + l*o**3 + a*o**4 + q*o**2 and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 219 + -135 - (0 - -15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 4*w**2 + 41*w - 76. Calculate z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111031 (base 4) in base 8?\nAnswer: -2515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 37 = -c - 108, -2*a = -c - 37. Let q(b) be the third derivative of b**4\/24 - b**3 + 103*b**2. Is q(a) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33718855 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.04 (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -144\/5*n**3 + 6\/5*n**5 - 12*n**4 + 0*n**2 + 0 + 0*n = 0.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1377)*2)**2 + (-1 + sqrt(1377) + -1)**2.\nAnswer: -36*sqrt(17) + 6889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 174652*w - 2619779. What is f(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 9*a**2 - 5*a + 2. Let v be y(-3). List the prime factors of -36*v*5\/10.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39031 and 1104747?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 63*y + 11. Let u be t(16). What is the smallest value in u, 19, 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101415, 202828, 304239, 405648, 507055, 608460, 709863?\nAnswer: 811264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9435 by -555.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*u**3 - 135*u + 3910.\nAnswer: 51*u**2 - 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141 - 2?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + 2 - 15*b - 3*b**3 + 33*b - 16*b. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 0.19, -2\/9, -280, 105\/4 in descending order.\nAnswer: 105\/4, 1, 0.19, 0, -2\/9, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -0.138723.\nAnswer: -4.022967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12789 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 71609.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.63477 centimeters to kilometers.\nAnswer: 0.0003263477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-10)*g*g)*(g*g*g\/(g**(-11)*g))\/g)**(9\/4)*g*g**1*g**7*((g*g\/g**0)\/g)**43 assuming g is positive.\nAnswer: g**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 162290 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 23 - x**2 - 25.\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - 615\nAnswer: -615.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-80))\/115 - (-4 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 60 = -5*d + 3*v, -3*d - 4*v = -57. Calculate the highest common divisor of 135 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*n + 19 = -4*b, 16 = 5*n - b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13100 (base 4) to base 7\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x + 10. Let y(v) = -v**2 + 3. Let o(z) = -z**2 + 4. Let k(i) = -3*o(i) + 4*y(i). Determine k(q(h)).\nAnswer: -36*h**2 + 120*h - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61585, 246301, 554161, 985165, 1539313?\nAnswer: 2216605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21\/8 (b) 4 (c) 62 (d) -0.22 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k*p**2*u*y - k*p*y - 2*k*u*y**2 - 2*k*u + 664*p**2*u*y**2 + 2*p**2*u*y + 3*u*y**2 + 17*u*y + 2*y wrt y.\nAnswer: -4*k*u + 1328*p**2*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 861 or 22679?\nAnswer: 861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-29 - -11 - 7)) + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0) + 0 + 3. Suppose -12 = -0*n - k*n. Let v be (-173)\/(-7) + n\/21. Solve 4*q = -q + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Let v = -6099\/8 + 761. Calculate the common denominator of v and 266\/20 + 3\/g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 16.5999\nAnswer: -49.7997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:41 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 33. Let h be 1*(0 + -2 + 5). Suppose 3*m - 1 = -5*k + 5, -h*m + 6 = o. Solve 4*d - 2*d - 3*a = 0, 4*d + 5*a - 22 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624.222 millimeters in kilometers?\nAnswer: 0.002624222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -15*g - 40. Sort 0.2, g, -4, -1 in increasing order.\nAnswer: g, -4, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 24. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose 0 = t - r*t. Suppose t = -4*l + 36 + 44. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2. Let n(q) = -1288*q. Calculate n(m(k)).\nAnswer: -2576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 19*q + 14. Let w(t) = -34*t**2 - 96*t - 70. Let o(s) = 11*u(s) + 2*w(s). Calculate o(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -66*x - 19. Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -2*t, -5*t + 8 - 1 = -4*w. Suppose 2 = -f, -j + 0*f + 86 = 3*f. Suppose s + t - j = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1965 divided by -20\nAnswer: 393\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/12 - 7*j**2 + 22*j. What is g(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -3)*1\/2. Suppose 3*p - 3*n - 75 = 0, 3*p + 23 - 101 = 4*n. What is the smallest common multiple of (j\/2)\/(2\/(-16)) and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyayyy. Give prob of sequence yyy.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7422331314412 take away -0.1?\nAnswer: 7422331314412.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 14*f + 57. Calculate p(-14).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55464, -221904, -499302, -887652, -1386948, -1997184, -2718354, -3550452?\nAnswer: -4493472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 2\/2 - -58 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221287.87 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56 and -30309866418.4?\nAnswer: 30309866362.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/886, 5, 0, -2\/7, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w + 12. Let l(r) = 5*r + 6. Let g(x) = -2*i(x) + 5*l(x). Let n(y) = y**2 - y + 3. What is the remainder when g(6) is divided by n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10785 + -5904. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*2298\/(-3). Suppose 1264 + 4420 = 49*f. Let m = u + f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123902747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 352*r + 1441. Let y be w(-4). Is y smaller than 192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 15*d + 5. Let o be t(-7). Sort 2, o, -3, 3 in descending order.\nAnswer: 3, 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1129 and 0.5.\nAnswer: -564.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/5 + 74*d\/5 + 231\/5 = 0. Calculate d.\nAnswer: -3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3537825842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 4*c. Suppose -4*l + 21 = 2*w - c*l, 4*w + l = 39. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22898568 divided by -42?\nAnswer: 545204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (19 + 13 + -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - -31 - (0 - (14 - 24))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 7*b**2 + 2*b**2 - 48*b - 9*b**2 - 1 in the form r*b + u*b**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 49 + 145 - 54*q - 53.\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026609 divided by 8?\nAnswer: -1026609\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48936 is divided by 763?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -7) + (-7)\/((-154)\/(-506)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7079489*d**3 - 3559167*d?\nAnswer: -42476934*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 951 and 1504.\nAnswer: 1430304","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:08 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + (-46)\/(-90). Suppose 0 = -3*g + 6*g + 15. Let i be g + 3\/(9\/12). Does i = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k. Let c(t) = -5*t. Let a(z) = -21*z. Let q(s) = -2*a(s) + 9*c(s). Calculate m(q(u)).\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.5 (c) 0 (d) 41 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 493*p - 1476. Let z be a(3). Solve 4*g - 8 = -3*r, -z*r = -2*g - 4*r + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from reoieeioeoesssi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z + 5. Let y(g) = 18*g + 9. Let p(w) = -7*x(w) + 3*y(w). Let j(m) = -8*m - 9. Determine -6*j(a) + 7*p(a).\nAnswer: -15*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3480 - -1039. What is the remainder when g is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160938283 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 g when four letters picked without replacement from luwuguluwwgu?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-17 + (-3 - -46))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51748893 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8969 - 2.28806. Let q = 263.47884 - r. Let y = 264 - q. What is y rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = -5*s + 52, -4*a + 5*s + 31 = 0. Suppose 0 = -4*v + 5*x + a, 0*x - 1 = -3*v - x. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4564)\/3912*(-18)\/28\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460925173 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from {e: 3, l: 4, v: 7, q: 4, z: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - 4*w = -355, -4*v - 5*w + 1442 = 0. What is the remainder when v is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f - 9. Let z be u(-3). Suppose 0*o - o + z = 0. Suppose -4*s - 2*n = -o, -n + 1 = -s - 2. Solve s = -t - 4 - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let g(o) = 21*o. Let x(z) = g(z) - 5*q(z). Let l be x(2). Suppose 0 = 3*h + 4*a - 127, -4*a + 5 = h - l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23.55 or -0.1?\nAnswer: -23.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/81*18\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23357775 and 525?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*b + 8, 3*b - 10*g + 13*g = -6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220.787106 - -220.8. Round g to four dps.\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**9*q*q**(-2\/21)*q**(-8)\/(q*q*q**(2\/3)*q) assuming q is positive.\nAnswer: q**(-37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2294, 9213, 20858, 37331, 58734?\n\"Answer: 17*o**3 + 2261*o**2 + 17*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -164.2. Which is the second biggest value? (a) 2\/15 (b) r (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 50*v + 105. What is the hundreds digit of (-235)\/v*75\/5*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 2 + 2)*(4 + 3 - 4) + 21*p - 17*p + 10*p as x*p + m and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f + 18. Let z = 3 - 7. Let x be (f + z)*0\/(-3). Solve x = -3*o - 7 + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 2808.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*q - 4*d - 2, 5*q + d + 12 = 0. Let k be 1*(62\/25 + q). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11203\/3, 2, -2 in descending order.\nAnswer: 2, -2, -11203\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjeq when four letters picked without replacement from {t: 2, e: 1, q: 1, j: 1, d: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 37555 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: In base 15, what is 16 - d425?\nAnswer: -d40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -83375 (base 13) in base 12?\nAnswer: -b4482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 55 = -3*s - 72 - 82, 29*r = s + 1315 - 1282 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000768539 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10058074 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/142 and 11\/16685?\nAnswer: 33370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -31*c - 1. Let a(w) = -23 - 213*w - 20 + 14 + 211*w. Give u(a(d)).\nAnswer: 62*d + 898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/870 and 181\/540?\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215 - -218. Suppose -6*w = -21 - u. Solve 0 = -d + 1, 3*r + 12 = -r + w*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 182065?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 6*x + 7)*(1 - 3 + 1 + (5 + 1 - 4)*(-3 + 3 - 1) - 1 - 4 + 3 - 3 + 2 + 0 - 1 + 1 + 1 + 2 + 1 - 6 + 0 + 1 - 3) to j + b*x and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 37.3, 0.4, 0 in increasing order.\nAnswer: 0, 0.4, 20, 37.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 16*g - 5. Calculate the remainder when v(10) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13613 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from ylwmmmyymmyc?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:40 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -728744 or -26963540\/37?\nAnswer: -26963540\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41\/154 + -9\/22. Let o = 96 + -197. Let p = 101 + o. Which is the nearest to p? (a) -0.5 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 32 = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 times -0.7388?\nAnswer: -255.6248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-30)\/315\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 19\/171*117) + -13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/1*15\/45*(-6)\/(-4).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46197\/(-59)*190\/(-2755).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/3 - 174*t**4 + 6378*t**3 + 356642*t**2\/3 - 5423968*t - 5536296 = 0.\nAnswer: -27, -1, 38, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4075056\/13 - 313192. Suppose 6*i + 8*i = 3836. Let p = z - i. Sort 2, -0.2, p.\nAnswer: -0.2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*v - 4808, 3*v = 3*d - d + 2405. Let m = -9507\/8 - d. Find the common denominator of -41\/4 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5277*g + 1897845 - 1897845.\nAnswer: -5277*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1 + 4 + 3 - 5 - 3 + 4 - 2 + (-2 + 3 + 0)*(3 - 1 - 3))*(60 - 42 - 54)*(-18*l + 21*l + 1 + 0)*(4 - 4 + 1) as p*l + w and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 276*g**2. Let r(n) = 9*n. What is c(r(u))?\nAnswer: 22356*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*g + 266*g - 117*g - 1125 = 15773 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + 0.5. Let s = -2807\/3490 - -3\/698. What is the nearest to -2\/5 in s, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -344 + 347. Solve -4*w - b + 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*n - 111*n = 111*n + 76 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15219677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000220121122 + -10?\nAnswer: 1000220121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 178671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 146343 - 146352 + 7*u + u**3 + 3*u**2 + 7*u**2. Determine g(-10).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2775822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006144331 to seven decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 729 + 1420.\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by (-6)\/15 - (2620\/(-50) + 8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -319073, -319074, -319075, -319076?\n\"Answer: -f - 319072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + (23 - 9 - 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4*2)\/((-21)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/(-24))\/(2\/(-6)). Sort 5, 1, o, 0 in descending order.\nAnswer: 5, 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302688936 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 47728030 divided by -1645\nAnswer: -29014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -9\/532 (c) 3\/1609\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 253\/(-5) - (-2)\/15*-3. Let z = j + 89. Calculate the highest common factor of 190 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 24*z**2 - 20*z - 73. Let k be s(-5). Calculate the highest common divisor of k and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/7 - (-55)\/(-210). Let p = 2.6 + -3. Suppose 6*b - 25 = b. What is the nearest to -1\/4 in p, b, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiiil. What is prob of sequence iil?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**2. Suppose -5 = -5*b - 4*j + 6, -5*b + 7 = 3*j. What is the least common multiple of 8 and l(b)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let j(s) = -111*s - 45*s + 490 - 88*s - 139*s - 489. Calculate j(r(t)).\nAnswer: -1149*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 10*b + 2. Let x be j(-2). Solve -2*g = x - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, s: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -58. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4520 + -3676. Let x(t) = t**2 + 4*t - 2. Let k be x(-5). Suppose 2*b + l = k*r, 2*b + 1126 = 4*r - 0*r. List the prime factors of r.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*w = -6 - 9, -5*p = -5*w - 65. What is the lowest common multiple of p and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 5179664.\nAnswer: -5179665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -678 + 1037. Let f = k + -6105\/17. Which is the biggest value? (a) f (b) 0.1 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 d when four letters picked without replacement from {k: 2, d: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303 and 714171?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*m = 5, 4*t + 2*m - 4 = -2. Suppose t*o - 2*x = 18 + 1837, 5*x = 4*o - 2471. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1159*y**3 + 3952*y**2 + 6 - 3951*y**2 - 6.\nAnswer: 1159*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w - 93*w - 1760 = 68*w. Let m = -1 + 1. Which is the fourth smallest value? (a) w (b) -5 (c) -0.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -657 and 1.4.\nAnswer: -655.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v. Let x(i) = 9*i - 34. Give -4*g(r) - x(r).\nAnswer: 3*r + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506866403.\nAnswer: 13033, 38891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-126)\/35 + 3 - (-213)\/255. Which is the second biggest value? (a) s (b) 0.3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmz. Give prob of sequence mm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z. Let a(y) = 2714*y. Determine h(a(j)).\nAnswer: -18998*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -91647.\nAnswer: -9164.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -30.1. What is the smallest value in 2\/3, q, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*l - 1354352, -6*n + 3*n + 2031509 = 5*l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -25*q - 170. Let f be u(-8). Suppose 0 = 333*p - 338*p + f. Let z(r) = -r**3 + 5*r**2 + 4*r + 3. What is z(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/((-11)\/4) - 319\/(-100) and 59\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.595068 * -0.5\nAnswer: 0.797534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6024, 6026, 6028, 6030, 6032?\n\"Answer: 2*k + 6022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1506348, 1506312, 1506276, 1506240, 1506204, 1506168?\nAnswer: 1506132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536486 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -1, 5\/63443, -5, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 5)*(2 + 1 - 2) - 14 + 10 + 8)*(-4*a + 4*a - 2*a).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2121 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-8))\/((-11)\/(-20064)*-19).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.22 + -0.22. Let u = i - 8.9. What is the closest to -0.4 in u, -2\/19, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)*x)\/(x*x**(1\/5)*x*x))\/(x**(1\/10)\/x**(2\/21)) assuming x is positive.\nAnswer: x**(-1933\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20390 - -20389.6. Let s = 20 + -21. What is the biggest value in 0.9, t, s, 0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -2*q**7\/105 - 17*q**3\/6 + q**2. Find the first derivative of l(k) wrt k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7503555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(18))*6)**2.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1488 and 96.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.488 to one dp.\nAnswer: 58.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -4*u - 2*p + 14 = 2. Let g be (-556)\/(-8) - u\/6. List the prime factors of 3*g\/9 + -1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 + -134. Suppose -r*q + 3667 = -12*q. What is the remainder when q is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + 69. Let i be (3*(-304)\/168)\/(3\/(-42)). Are m and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 4*m**2 - m**2)*(4 - 2*m**3 - 4) + (-m + m + 3*m**2 + (2*m - m - 2*m)*(2 + m - 2) + 4*m**2 - 5*m**2 + 0*m**2)*(-5 + 5 - 5*m**3).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257644951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Suppose -v*i - 4 = 2*i. Let j = -403\/5 - -3637\/45. Put i, 2, j in decreasing order.\nAnswer: 2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1293209 greater than -1293210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -1154, -2485, -4330, -6695?\nAnswer: -9586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -7) + 7 + 0. Suppose n*d - 3*d = 7. Which is the smallest value? (a) -5\/3 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/40)\/(105\/50)*(-308)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 60 - 17 - 812*p + 811*p + p**4 to m*p**2 + h*p**4 + s*p + b + j*p**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(0 + sqrt(63)\/(2*sqrt(9)*-1) + ((sqrt(14) - sqrt(224))*3)\/(sqrt(2) + sqrt(72) + -1*sqrt(72) + sqrt(2))).\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*y = 81*y + 748696. List the prime factors of y.\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 12:05 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/39598650, 2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -21. Let o(s) = 9*s**2 - 7*s + 11. Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18792 and 5104.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - 10. Let v = u - -50. Let g = v - 16. Solve g = -5*j + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - j - 1, 3*o + 5*j - 11 = 0. Suppose -o*z + 3*d + 85 = 2*z, d = 5*z - 109. Calculate the remainder when z is divided by 10*((-2)\/(-10) - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -706 + 1234. Let r = i + -531. Sort -1, 389, r in descending order.\nAnswer: 389, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*n + 8*n - n**2 + 3*n.\nAnswer: -n**2 - 70*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - v**4 + 39*v**3 - 86*v**3 + 40*v**3 in the form z*v**3 + l*v**4 + m*v + a + s*v**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dacacdccccdaddadccc. What is prob of picking 1 a and 2 c?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + s + 5*s. Let m(c) = 21*c**2 - 7*c. Let w(r) = 10*r**2 - 3*r. Let d = -234 - -237. Let f(q) = d*m(q) - 7*w(q). Determine f(g(a)).\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 242191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1320286.\nAnswer: 1320286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/243)\/(12\/(-27))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/77300 and -73\/2000.\nAnswer: 1546000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/3 - (-10)\/15 - (-34788)\/(-5109). Which is bigger: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 5. Let h be m(4). Let r = h + 15. Let q = r - -7. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*f + 3435831*f**2 - 116*f - 3433050*f**2 wrt f.\nAnswer: 5562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 1\/12*x**4 + 0*x - 1\/120*x**6 - 1\/10*x**5 + 1\/2*x**3 - 5*x**2 + 0. Does 19 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, g: 10, r: 2, u: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -3\/8, 2\/241, 11\/5, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.441 - -2.741. Which is the second biggest value? (a) -0.3 (b) t (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfa when three letters picked without replacement from {f: 1, n: 2, c: 8, a: 5}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58526 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.015 (c) -738 (d) 1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 11 = -3*i, -16*i = -5*j - 21*i + 45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from nnnnnnnyqqnny?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + f + 39 - 33 = 0, 0 = 3*y - 2*f - 10. Which is smaller: 21\/25 or y?\nAnswer: 21\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqkvyikr. What is prob of picking 1 i, 1 k, 1 v, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8965 and 140.\nAnswer: 251020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(936\/84))\/(33\/1188)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/3 + 83246*o - 1748117\/3 = 0.\nAnswer: 7, 249731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = r. Let v = 37.2 + -36.2. What is the third smallest value in v, r, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(((sqrt(128) - ((sqrt(128) - sqrt(128)*-2) + sqrt(128) + sqrt(128)))*3)\/sqrt(4) + sqrt(72)*5 + 1).\nAnswer: -12 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189890 + -117409. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(114)*-1 + sqrt(114)) + (sqrt(114) - 1*sqrt(114)*5 - sqrt(114)) + sqrt(114))\/(-3*sqrt(24) + sqrt(96)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from cccoccccocccccccccc.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 2*i**2 - 3*i + 3. Let g be p(-3). Suppose -4 = 2*c + 2*j - g*j, -c + 4*j = 16. Suppose c = -t - 0*t + 10. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + 0.5. Let i = -0.1 + -2.9. Let n = -6335 - -6334.5. Which is the third smallest value? (a) n (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 53 + 2*q + 34)*(-2 + 2*q + 2 + (-q + q + q)*(1 - 3 + 3)) - 2*q**2 + 1 - 2 + 3*q**2.\nAnswer: 7*q**2 + 36*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164147 is divided by 39747?\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03689631 rounded to 4 decimal places?\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*k**2 - 8*k + 14*k - 6*k - 13*k**3 wrt k?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011855 rounded to 5 decimal places?\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*2 - -3. Suppose 3*r - b*k = 3*k + 117, -k = -3*r + 129. Let g = r + 14. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 + 4\/2 + -3. Let r be (3*-4)\/(-2) + 0. Let t = i - r. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = 3*j - 8*j, -d - 5*j + 19 = 0. Suppose -2*t + d = -6. What is the least common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2 - 270*x + 4 + 3 + 1 + 271*x. Calculate d(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:20 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8 or 19\/2087727?\nAnswer: 19\/2087727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1027, 5410, 16469, 37528, 71911?\n\"Answer: 554*w**3 + 14*w**2 + 463*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 - (3 + -5). What is the units digit of (13 - 1)\/v + 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 9. Let d be l(9). Let s = d - 2\/13. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -275*t**2 + 1375*t + 7. Calculate b(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274 - 180. Calculate the remainder when r is divided by (12\/5 + -2)\/(1\/60).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14562 + 10077. Are -4484 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010 (base 2) in base 4?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139719654.\nAnswer: 2, 3, 19, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75047615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbqb when four letters picked without replacement from {q: 12, b: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyv when three letters picked without replacement from {v: 4, y: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 5) to base 13\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209328222 by 145569.\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 36\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**3 + 1430*j**2 + 3*j + 419 wrt j?\nAnswer: -96*j + 2860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 23. What is the greatest common factor of k and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2, 5, -1 in ascending order.\nAnswer: -1, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*t**2*z - 368252*h**3*t*z + h**3*t - 2*h**2*t - 2*h**2 + 27315*h*t**2 wrt z?\nAnswer: h**3*t**2 - 368252*h**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4480102.8 minutes?\nAnswer: 3111.1825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -31. Suppose -70 - 1001 = -3*p + w, 0 = 4*p - u*w - 1423. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 4*z - 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (21300\/(-40)*13)\/(4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*j - 2 = 1, 2*a - 20 = -3*j. Suppose -2*c - 27 = -a. What is the remainder when 9 is divided by (c\/15)\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (-1 + sqrt(539) + 3)**2)*-2.\nAnswer: -6492 - 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/10575*-47*45\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myjj when four letters picked without replacement from yqyyjmjjmyj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -895.007733 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6101780.\nAnswer: 2, 5, 59, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2445257 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 51*h - 1982. Calculate t(39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 + 3*q**3 + 9*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*t - 3502, -6*t + 7*t - 3*o = 882. Round t to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.6046049 rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/1099 or 1?\nAnswer: -15\/1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrngggnnngnnmrn. What is prob of picking 2 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:09 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -32*i + 3. Let j(r) = -29465*r**2. What is y(j(m))?\nAnswer: 942880*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 9*y - 8. Let i be z(6). Suppose x - 2*v - 35 = -i, -10 = 2*v. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {f: 14, y: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-6))\/(-10 + 11) - -2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (19 - -1) + (-148 - -138)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 (base 5) in base 8?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 2\/17, -1, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(5\/3))\/c)\/(((c**(1\/4)*c)\/c*c)\/c)*(c*c*c**(2\/11)*c)\/c**(-14))**18 assuming c is positive.\nAnswer: c**(6045\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, f: 3}. What is prob of picking 4 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19184 times -0.042?\nAnswer: -805.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 1 = -31. Suppose 85*h - 8 = 89*h. Sort r, -1, h, 13 in increasing order.\nAnswer: r, h, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-20)\/18*(-45)\/75?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose -s = -p - 12. Let n be ((-160)\/200)\/((-2)\/(2 + 8)). Solve n*y = -0*y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 0) + (-3 - -1). Suppose -f*w - 4*v = -2*v - 308, 3*v + 396 = 5*w. Suppose w - 265 = -u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1116 and 1115 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 s, and 1 v when four letters picked without replacement from jljmdsjsdlvm?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6167\/5 - -1241. Let x = n + -8. Let k = 0.14 - -0.06. Which is the second smallest value? (a) k (b) -1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) - (sqrt(208) - (-4 + sqrt(208) + sqrt(208) + 0)**2) - ((sqrt(130)\/sqrt(180))\/sqrt(2))**2.\nAnswer: -64*sqrt(13) + 30515\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29749960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*k. Suppose 3*r - 5*r + 3*t = -12, 8 = -4*r - k*t. Suppose r = -4*p + 2*p + 98. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 237444337?\nAnswer: 2374443370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 7) to base 14.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -5)\/(2\/(-30)). Let o be (-1016)\/(-6)*50*t. Round o to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 31.9 (c) -45\/67 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.3 (c) -19 (d) -0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 2:16 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 9. Suppose 3*w = 2*h + x*w + 18, -5*h - 3*w = 59. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 6. Let p be t(-2). Suppose 12*o + p = 13*o. Solve -2*y**3 + 40*y - o - 2*y**2 - 30*y - 2*y**3 = 0 for y.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h = 0. Suppose 5*m - 7 - 23 = h. Suppose -1674 = -m*l + 1236. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -709.96 * -18\nAnswer: 12779.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {d: 2, n: 4, m: 3}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/195 + -1039\/3120. Let b = j + 1\/16. Let x = 116 + -114. Sort x, b, -0.05 in ascending order.\nAnswer: b, -0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11. Let h = 1423 - 1422. Which is the closest to h? (a) v (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5693.639204 - 823.65921. Let s = y + -4870. Let w = 0.02 + s. Round w to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 + 1522*z + 579121 = 0?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4211225 and 41943801?\nAnswer: 1048595025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 51704 - 10258557\nAnswer: -10206853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 171231 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 5:43 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/7 - 250*y**3\/7 - 246*y**2\/7 + 250*y\/7 + 248\/7 = 0. Calculate y.\nAnswer: -124, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -524*d**2. Let y(m) be the first derivative of 2*m**3\/3 - 67. Give z(y(g)).\nAnswer: -2096*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x - 305. Give k(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let x be ((-2)\/r)\/((-2)\/4). What is the units digit of ((-3)\/(-6) - x)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*2 + (-1881)\/2200*-5*(-16)\/(-6). Suppose -2*r**2 - x*r + 6\/5 = 0. Calculate r.\nAnswer: -2, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12539*a - 37535. Give k(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 19821 = 3*m. Let l be 2\/((-8)\/(-6214))*-2. Let b = l - m. What is b rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39196 - 76209 - 50410 = 3801*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01432 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-154360)\/(-16) + (-6)\/(-24) + (-1)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -20*w + 2. Let n be v(-3). Suppose -3*a = 4*b - n, -3*a - 64 = -b - 4*b. What is the hundreds digit of 100 - ((-8)\/28 + (-38)\/b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144079018.\nAnswer: 2, 29, 433, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 8*p + 44\/3.\nAnswer: (p - 22)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 2*m**2 - 5*m**2. Let r(i) = 8*i. What is r(v(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1674 and -1651 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 0 = s*w + 8 - 83. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -d - 3*w, -4*w + 3 = 23. Let v be (-6)\/(-9) + (-44)\/12. What is the lowest common multiple of d and (-2 + 0)\/(2\/v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.56995 minus 14?\nAnswer: -54.56995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -28. Solve 4*x + 20 = -q - 0*q, -2*x + 4 = -u*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512244021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(6)\/sqrt(2))**2 - (sqrt(147) - (-4 + sqrt(147) + sqrt(147)*-2))**2)*-4.\nAnswer: 472*sqrt(3) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4)*(-9339)\/(-105). Let s = 5886 + -42482\/7. Let q = z - s. Find the common denominator of -7\/3 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -46. Let q(v) = 175*v**2 + 5*v + 7. Is q(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c + 97. Let u be f(0). Suppose -u*t + 93*t = -16. Suppose 4*v - t = 4. Solve v*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(200))\/sqrt(4)*1)\/(4*sqrt(250) - sqrt(250) - ((sqrt(100)\/sqrt(5))\/sqrt(2) + sqrt(10))).\nAnswer: -6*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-20)*((k\/(k**1*k))\/k)\/(k**(3\/2)*k))\/((k*k**(-2\/7)*k*(k*k**(-3))\/k*k)\/(k\/(k*k\/k**(2\/5))*k\/k**(1\/4))) assuming k is positive.\nAnswer: k**(-3369\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 15530 divided by 27661?\nAnswer: 15530\/27661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286440 by -28644.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-9)\/j)\/(j*j\/(j*j\/j**(-1\/2)))*j**(-5)\/((j*j\/j**(4\/5))\/j))**(-4\/13))**(-3\/26) assuming j is positive.\nAnswer: j**(-441\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 11*p = -7*p. Let v be p\/(-3 + -3 + 5). Suppose 5*x + 4 - 19 = v. Which is bigger: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = 2*x. Let k = -1962 - -1967. Suppose 0 = k*v - 5, 24*g - 5*v + 2 = 27*g. What is the closest to g in x, -2\/3, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3542, 7085, 10632, 14183, 17738, 21297?\n\"Answer: 2*g**2 + 3537*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -16, 2, -5 in decreasing order.\nAnswer: 13, 2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*j - 256, -5*j = -4*v - 7*j + 1034. Let n = v + -221. Solve -4*r + 5*w - n = 0, 2*r + r + 5*w - 16 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 1\/5 (c) 132 (d) -3\/11 (e) 1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73300*g**4*x - 2*g**4 - 4*g**3*x**2 - 194331*g**2*x**2 + g**2*x + 10*g**2 + g + 2*x**2 + 2 wrt g?\nAnswer: -1759200*g*x - 48*g - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757515\/(-110)*(-4)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/66172971 and 41\/1177455.\nAnswer: 330864855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 3, 0.2, -1\/8, -13779?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 770 and 149996?\nAnswer: 749980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5846*y**5\/5 - 2663*y - 7445. Find the first derivative of l(b) wrt b.\nAnswer: 23384*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/8? (a) -3067\/5 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 34*g + 20*g - 135 = 6*z, -2*g = 9*z + 3 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 7, w: 9, i: 1}. What is prob of picking 2 w and 2 e?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 4. Suppose t = w + 3. What is the units digit of w*9\/(-12)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2441*h - 2436*h - 2431*h + 7311*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let m be a(-4). Suppose -5*v - 5 = m*s, -5*v - 8 = -5*s - 3. Let j(r) = 13*r - 4. Let y(w) = 90*w - 27. Let z(p) = -27*j(p) + 4*y(p). Give z(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -636*o + 572*o + 128 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70252 and 6755.\nAnswer: 351260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j + 53*j = -60 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let k(x) = -x**2 + 7*x + 11. Let l be k(7). Suppose 0 = -3*h + l - 5. Solve 3*i = 5*f + 11, -4*f - h - 6 = -c*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 0. Let n be 2 + (1*c)\/3. Suppose 13 = 5*q + 3. What is the smallest value in -2\/3, q, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 94895*v + 96. Let p be f(19). Suppose -2*a = 136899 + p. What is a rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/(25\/(-120)*-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (26 + -70 + 43)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 4, c: 4, z: 6}. Give prob of sequence aa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2677785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:37 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/((-4)\/12). Let n = -60 + 64. Solve -h - n*a + 5*a = -9, 2*h = -l*a - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/10 + 134\/5. Calculate the common denominator of ((868\/49)\/4)\/(2*-1) and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1310311 (base 4) to base 13\nAnswer: -3532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:39 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1539) + -1)**2 + 0.\nAnswer: -90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*v - v**2 - 19*v - 4*v**3 - 2*v**4 - 125*v + 1 in the form y*v**3 + f*v**2 + z*v + a + u*v**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2723*m + 5316. Give g(-2).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/525)\/(-17*(-66)\/(-16830))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116228, 232459, 348690, 464921, 581152, 697383?\nAnswer: 813614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141 + 8*m + 141 + (6*m - 2*m - 2*m)*(-4 + 1 + 1).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3380 (base 14) in base 13?\nAnswer: -40b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 1067 = 2*t. Suppose -5*q - 147 = -2*p, -q + 578 - 197 = 5*p. Let g = t - p. Solve 0 = 5*d - 2*j + g - 5, -d + j = 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -79853, 3, 9 in increasing order.\nAnswer: -79853, 1, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*z - 605, 2*z - 51 = v - 178. Suppose l = -1, 5*l - v = -5*g + 2*l. What is the greatest common divisor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17634143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(220))\/sqrt(11)*-3 - (sqrt(5)*-3*-3 - sqrt(45)\/(-4*sqrt(9))))**2 + -5.\nAnswer: 765\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.323973 millimeters?\nAnswer: 323.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -0.015.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*c*v**2 + 385*a**3*v**3 - 36*a**3*v**2 - 2*a**2*c**2*v - a**2*c*v**2 - 2*a*c**2*v**3 wrt v?\nAnswer: 2310*a**3 - 12*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2561 by 5.\nAnswer: 2561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -106. Let k(x) = -x + 21. What is k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-1288)\/(-428) + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636\/(-680) + (-66)\/220?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 at least 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 1, w: 3, l: 1, d: 4}. What is prob of sequence wlwv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 503227 (base 9) in base 2?\nAnswer: 1001000101010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011101 - 10010002?\nAnswer: -22021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 - 5*j + 5. Let x(u) = -2*u**3 + 4 + 23*u - 2*u**3 + 22*u + 22*u - 71*u. Suppose s - 5*s + 16 = 0. Give s*o(h) - 5*x(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128440.5402 rounded to the nearest 1000?\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (26 - 45) + (11 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:19 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 423183680 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-303)\/909)\/(1\/5)*4?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 8*s + 2. Let d be c(3). Is d\/22 + (2 - (-18352)\/22) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/(13 - -5) - 0. Which is the third biggest value? (a) -4.7 (b) o (c) 3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -134.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 2578*y + 5156*y - 2576*y + 1.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, l: 5}. Give prob of picking 3 n and 1 l.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**2 + 2*a. What is the remainder when w(-1) is divided by 2\/5*1*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejtqeettjataee. What is prob of picking 1 j and 3 e?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 4*a - 8. Let l be i(-4). Does 6 divide 39 - l\/(8\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442312 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 11:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a69 - -79?\nAnswer: 4b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299343 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1410.00000006 + 1410. What is l rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + 4.92. Which is the nearest to 0.1? (a) j (b) -0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -843 - -880.1. Let a = c - 34.1. Let q = 1.48 + -1.7. Sort a, q, -0.1 in ascending order.\nAnswer: q, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*w**3 - 38*w + 6*w + 32*w + 1176*w**3.\nAnswer: 800*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647 - -127.7?\nAnswer: 2774.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 719*q - 2385*q - 14994 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 3*k**2 - 7. Let m be o(3). Suppose -m = 10*b - 15*b. Calculate the least common multiple of b and 11 - (0 + -1 + 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = -3. Solve 4*n - o = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0.83\nAnswer: 0.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -161, -240, -319, -398?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 931 - 472. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62648645?\nAnswer: 5, 12529729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 7*i + 5*i - 7*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 624380604 = 624380605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21457658?\nAnswer: 2, 83, 129263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209708944 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 + 9*m + 3*m**4 + m**4 wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 4.2 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 - 2*g**5 + (3 - 3 - g)*(g**4 - 4*g**4 + 2*g**4) + 19*g**5 - 20*g**5 + 13*g**5 + 3*g**2.\nAnswer: 11*g**5 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)\/l**(-1\/10))**(-3\/13)\/((l**(-2\/5)*(l*l**(2\/9))\/l*l)\/((l**5*l)\/(l*l**(3\/5)\/l))) assuming l is positive.\nAnswer: l**(5269\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.02 + -1.8. Let o = -0.48 + 0.27. Let h = a - o. Round h to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18456 + -18455.4. What is the second smallest value in -4, z, -108\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 422 - 46. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -89. Let l = -28.95 + m. What is the third smallest value in -6\/11, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/3 (c) -0.2 (d) -10 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649889131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 78 = -36. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccpscccscscppscp. What is prob of picking 1 p and 1 s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2 + -2 + -3 + ((sqrt(1100) - (sqrt(1100) + -4)) + -4)**2.\nAnswer: -7 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 at most as big as 16424545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.64. Let j = -1.6 + t. Which is the closest to -2? (a) 3 (b) j (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.9+53\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9205 = -1081*f + 10286*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2935 - 1921. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (9 - 2\/(-2)). Let z = u + 3. Let a be (z\/(-4))\/(-3)*-10. Is 3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923.08479 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*l - 3*o, 19*o - 14*o = -15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - -16 - 14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -57520102\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 + 1 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -994, -1009, -1024, -1033, -1030, -1009, -964?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3276624626607\/7184 - 456100312. Let c = -2913\/4 + 1307933\/1796. Let h = c + m. Find the common denominator of -117\/14 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -357, -0.5, -0.4 in increasing order.\nAnswer: -357, -0.5, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -46*z - 29. Suppose 2*c + 2*n + 14 = 0, -3*n + 11 = -3*c - 22. What are the prime factors of t(c)?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141715 divided by -11\nAnswer: -141715\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 31) + (1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38719813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 6. Let a(t) be the third derivative of -t**4\/2 + 35*t**3\/6 + 4*t**2. Let s(f) = -6*a(f) - 34*n(f). Calculate s(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/2, -1, -6, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -123 and -122 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 79*f + 2546. Calculate the remainder when 32 is divided by o(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 - ((4 - 9) + 4)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554339894?\nAnswer: 2, 1931, 143537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + 0.07. Let b = 2.9 - 2.8. Let j = -13294\/5 - -2659. What is the closest to j in g, -1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -22. Let n be (1\/(-5 - 0))\/(4\/5). Which is the third biggest value? (a) n (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b + 1743. Let j be y(83). Suppose -20 = 4*r + 16. Let m(k) = k**2 + 9*k + 2. Let z be m(r). Put -25, j, z in decreasing order.\nAnswer: z, j, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Suppose -4 = -4*c, d = -2*d + 5*c - 71. List the prime factors of (y\/(-2))\/((-4)\/d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 36. Suppose -z*c - 570 = -9*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29202 - 3600. Suppose 0 = -6*z + 420 + w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -45. Let y(n) = 14*n**w - 24*n**2 + 4*n**2. Let p(j) = j**2. Calculate y(p(d)).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21573*q**4 - 35402*q wrt q?\nAnswer: -258876*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2 + w + 1. Let s(x) = x**3 + 4*x**2 + 3. Calculate f(n) + s(n).\nAnswer: 2*n**3 + 5*n**2 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*y - 2*c, -137*y - 12*c = -142*y + c - 65 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k - 1. Let n(p) = -23*p**2 - 2. Let d(c) = -n(c) + 2*r(c). List the prime factors of d(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848859.\nAnswer: 1848859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 41 + 39 + 42 - 5*b - 122. Let t be 12\/9 + (-2)\/(-3). Determine m(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -40*r + 8. What is l(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -13. Suppose 2*j - 15 = c. Factor 3*q - 14*q**2 + j*q**3 - 5*q**4 + 2*q**2 - q**4 + 6*q**3.\nAnswer: -3*q*(q - 1)**2*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 6*w + 3. Let a(h) = -231*h**3 - 1 + 7*h + 232*h**w - 3*h - 5*h**2. Calculate a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 20. Let b = 11 - t. What is the third derivative of 29*l**6 + 5*l**2 - 28*l**6 + b*l**2 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - y + 2*y + 39 = 0, -3*n = -3*y + 36. Let a = -11 - n. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 4:42 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87380 and 35.\nAnswer: 611660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9447*(3 + 1)*(-1)\/(27\/(-18)).\nAnswer: 2, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600 is divided by 299.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139056*w - 28163 with respect to w.\nAnswer: 139056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298118919 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(85) + -2*sqrt(85)*-2 - sqrt(85))\/sqrt(5) - (sqrt(68) + -4*(sqrt(68) - sqrt(68)*-2) + sqrt(68))\/sqrt(4)).\nAnswer: -56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - 13*g**2 + 5*g - 11. Let q be h(4). What is the smallest common multiple of 66 and (-120)\/q*14\/4?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:05 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - 25 - (-8 + -46) - (0 + 0 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 140 = -0*l. Suppose q + q = l. Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21064201 greater than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 12 + 0 = 0. Suppose 0 = r*s + 3*o + 6, -8*s - o = -11*s + 13. Suppose -s*w + 4*w = 2*t + 164, -3*t - 169 = -w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 0.4, 1\/15 in descending order.\nAnswer: 1, 0.4, 0.3, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 0.1 (b) 3\/542 (c) -0.04 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3979304613.08 - -0.5.\nAnswer: -3979304612.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 - z - 2. Let v be ((-52)\/91)\/((-1)\/14). Suppose 0 = -4*p + v, 0*p - 5*p = 5*n - 35. What is a(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -2*h**3 + 3*h**2\/2 - 2*h - 3807. Let p(q) = -q**2 - 1. Determine 4*p(s) - y(s).\nAnswer: 2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 13*x + 7501 = 0. Suppose x = 3*o - 464. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221 + 228. Let x(g) = -2*g**2 + 11*g - 6. Let m be x(5). Let t be 2\/(y\/(-5) - m). Which is the second biggest value? (a) t (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdrrvddrdvvdb. Give prob of picking 1 d and 2 v.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36921022.\nAnswer: 2, 1553, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 57. What is the remainder when 54 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 12*d**2 + 20*d - 20. Let a(y) = 3*y**3 - y. Let l(q) = 2*a(q) + c(q). What is the hundreds digit of l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -4, 1\/3, -0.03, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -47110.3 to the nearest 100.\nAnswer: -47100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/40 + 42\/(-60). Are m and -9\/89 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**3 - 15*y**2 + 18*y - 27. Let f be m(12). Let i = f - 134395\/16. Find the common denominator of -81\/22 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 + 82*x**4\/7 + 22*x**3\/7 - 86*x**2\/7 - 50*x\/7 + 4\/7 = 0 for x.\nAnswer: -2, -1, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 19*b - 8. Let c be a(-9). Let x(z) = 6*z**2 - z. Give x(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) 43 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/7*(2 - 9). Suppose -4*t + o = -5*d, t - 9 = -0*d + 5*d. What is the nearest to -1\/2 in d, 5, 16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88772, 17, 3 in descending order.\nAnswer: 17, 3, -88772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 20*g**2. Let q(c) = 14*c**2. Determine q(i(o)).\nAnswer: 5600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*o**5 + 49*o**5 - 43*o**5 - o**5 + 0*o + 0*o + (0*o**2 - 5*o**2 + 3*o**2)*(3*o**3 + 2*o**3 - 3*o**3) - 3*o**2 + 3*o**2 + 12*o**5.\nAnswer: 91*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.489 rounded to 0 decimal places?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.7 + 7.7. Let o(r) = r**3 - 3*r**2 - 3*r - 5. Let c be o(4). What is the closest to c in k, -3\/7, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((25\/195)\/(3475\/5004))\/(4*2\/100)\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3439685 - -0.3225.\nAnswer: 3439685.3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(0 - n + 0) + 5*n + n - 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13 - 490*p + 4 + 2321*p + 9. Let c(s) = 3*s**2. Calculate c(y(n)).\nAnswer: 10057683*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 3*g = -12*q - 393, 4*q = 5*g + 369. Let f be 6\/(1*(-1)\/(-2)). What is the greatest common divisor of f and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjep when four letters picked without replacement from jpjej.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10229413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 74\/6 - 1\/3. Suppose 2*t - 2*l - l = b, -3*t = -2*l - 18. Let d(r) = -r**2 - 4*r + 1. Calculate the remainder when t is divided by d(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**3\/3 + w**2\/2 + w + 3. Let h be a(-2). Is 12 a factor of 24 + h\/(-6)*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 756*y**2 + 42336*y + 592704 = 0. What is y?\nAnswer: -84, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlwwlllwmwwwccnlll. What is prob of sequence mlcn?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Let b(h) = 23*h**3 + 2*h**2 - 1. Let l be b(1). What is the highest common divisor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from gdgdgggdgdgd.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42929713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0457123568 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22\/4769 - 397147\/286140. Find the common denominator of v and -61\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 137*b**2 + 53*b + 829. Calculate l(69).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - p**2 + 40*p + 78. Give f(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9.000031. What is g rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6908480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25e51 (base 16) in base 8?\nAnswer: -457121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 113568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2176, -2588, -3016, -3466, -3944, -4456, -5008?\nAnswer: -5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (132 - 322 - 128)*(-6*w - 22 + 22) in the form p*w + t and give p.\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0612+592\nAnswer: 591.9388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1171*j - 12885. What is w(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22821*-11\nAnswer: -251031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28031024 divided by 1751939?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2 + 4*m**2 - 112*m + 221*m - 105*m + 13. Let v(a) = -2*a**2 - 2*a - 8. Determine -4*n(s) - 7*v(s).\nAnswer: -2*s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b. Let y be v(4). Suppose 0 = 2*l + k - 29, 5*k - y = -5*l + 25. Solve 1 = -r + 5*d, -4*d = -8*r + 3*r + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 19*m**2 - 24*m - 69. Let i(w) = 37*w + 4753. Let x be i(-129). Give l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 17*k + 2*k + 12*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h + h)*(12 + 7*h - 12)*(-3 - 1 - 5)*(-2 - 2*h + 2).\nAnswer: 252*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 16, -2\/9, -10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 19615 - 69365. Let w be 2 - 4 - a - (-2)\/(-2). Suppose 10*s = 7983 + w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 15. Let v = -27.023 + t. Let x = 0.044 - v. Round x to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478, 976, 1474, 1972?\nAnswer: 2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4078*b**2 + 1070*b**2 + 949*b**2.\nAnswer: -2059*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 7*j**2 + 3*j**2 - 2*j**2 - 6*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) -0.20318 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47526 - 7.\nAnswer: -47533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**2 + 240*r**2 - 69*r**2)*(2*r**2 - 4*r**2 + r**2).\nAnswer: -195*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -110. Let n = 110 + s. Solve -4 = 2*i + 2*d, -n*i + 4*d - 3 = -11 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 3*i - 2*i)*(3*i**2 - 3*i**2 - 2*i**3) + 0*i**4 - 5*i**4 + 4*i**4 + (-i**4 + i**4 - i**4)*(2 - 5 + 7).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-8))\/3*-3. Which is the closest to -0.1? (a) -1\/6 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {u: 1, c: 2, j: 3, z: 4, a: 3, f: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 13*h**2 + 1149 - 8*h**2 + 1171 - 2320 - 3*h**2.\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102)*-1)\/(sqrt(6) + sqrt(12)\/sqrt(2)*3).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(448)*-2)**2*1.\nAnswer: 28672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.85345325 to three decimal places.\nAnswer: -4.853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6798, -13562, -20544, -27852, -35594, -43878, -52812?\n\"Answer: -18*c**3 - c**2 - 6635*c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-428\nAnswer: -171.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 20*u - 14. Let n be s(-5). Suppose -68*g = -n*g - 56. Solve 0 = 4*q - g*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -36*w**3 + w**2 - 2*w. Let k be p(-2). Let l = -196 - -373. Let j = k - l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4 - 920*q**3\/3 + 2*q**2 + 920*q + 3517. Determine j, given that f(j) = 0.\nAnswer: -230, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3193*c**3*z**3 - 5*c**3*z**2 - 17*c**3*z - 7*c**2*z**2 - 2*c*z**3 wrt z?\nAnswer: -19158*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x - 4*x)*(-17*x + 41*x**4 - 17*x**4 - 20*x**4 - 2*x).\nAnswer: -32*x**5 + 152*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16592 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 2*d, 2*y - 3*d + d = 14. Let s be (120\/7)\/(y\/63). Let n be 72\/s + 14\/10. Solve -n*q + 1 + 4 = a, 0 = -3*q + 5*a - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 + -142. Let t(u) be the first derivative of 0*u**2 - 5 - 13\/3*u**3 + w*u. What is the first derivative of t(a) wrt a?\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/3, -0.5, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449262*j**3*z**4 - j**3*z - 7662*j**2*z**2 - j*z + z**2 wrt z.\nAnswer: 10782288*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w, 3*j + w - 200 = 248. Let y = j + -1045\/7. Let s be 3\/(5 - 14\/35*-5). What is the nearest to 2 in y, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**6\/60 - d**4\/12 + d**3\/3 + 30*d - 12. Let i(j) be the third derivative of v(j). What is i(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 2 = 2*y + 4*z, -4*y = -5*z - 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 8\/97?\nAnswer: 8\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.33 and 0.073.\nAnswer: -0.02409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oou when three letters picked without replacement from {g: 1, l: 8, u: 2, y: 2, o: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 8\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2870)\/(-15))\/7*6. Let d = b + -92. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1771 divided by -161\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -103214, -82 in increasing order.\nAnswer: -103214, -82, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -833*g**3 - 49*g**4 - 2*g**2 + 0 + 128*g**4 - 37*g**4 + 2 - 41*g**4 in the form n*g + y*g**3 + x*g**4 + j + r*g**2 and give y.\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -359\/436 - -8\/109. Put 0.2, n, -0.5, -0.1 in descending order.\nAnswer: 0.2, -0.1, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -24*10\/30*-11. Solve 22*x + 0*x = r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34071530*b**2*q**2 + 18996*q**2 + 782*q wrt b.\nAnswer: -68143060*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 6*h**2 + 3*h - 1. Let q(i) = -i**3 + 3*i**2 + 3*i - 6. Let z be q(3). Determine l(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126.9281089 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70682 divided by -185.\nAnswer: -70682\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60387\/65 - -929. Sort 9, 4, -5, u in decreasing order.\nAnswer: 9, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6575*h**3 + h**2 - 28159*h**3 + 10694*h**3 - 20836*h**3.\nAnswer: -44876*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3 - 42*z**2 - 385*z - 750 = 0.\nAnswer: -5, -3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*s + 5 = s, x - 2*s + 1 = 0. Sort 29, -3, x in ascending order.\nAnswer: -3, x, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59982*r - 14276*r + 427879*r + 272315*r.\nAnswer: 745900*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:16 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = -p. What is the common denominator of (p - 3\/30)\/(-6) and ((-213)\/16)\/((-9)\/(-6))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -7\/118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (-2 - (-6 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48687 rounded to 2 decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let b(t) = 4*t**2. Give b(l(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*a + 7*a. Suppose 2*w - 4*w = -a. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, 1 v, and 1 f when four letters picked without replacement from eeazfvvezzvieevve.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3. Let b(r) = -6*r**3 + 7*r**2. Let a(s) = b(s) - 4*z(s). Find the third derivative of a(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 2 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + 5 - (-2 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let a = 22333\/5 + -4467. What is the nearest to a in t, 0.3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 36321*n**2 - 12*n - 6. List the prime factors of t(-1).\nAnswer: 3, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742 - 11528468*w - 175 + 11528467*w.\nAnswer: -w + 567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419285 is divided by 697.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 2348908.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89, 195, 301, 407?\n\"Answer: 106*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Is (t - 5)\/3 + 11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8135\/11 - -736. Let v = c + 228\/55. Put 59, v, 1 in decreasing order.\nAnswer: 59, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.17479 weeks in nanoseconds?\nAnswer: 56352112992000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 6*n**2 + 3*n + (3*n + 3*n - 5*n)*(n - 4*n + 0*n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = 0, 0 = -5*v + 6*g - 3*g. Suppose a = -3, -4*m - v = -5*m - 3*a. Solve 3*u + 3 = -m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2535203 (base 6) to base 8\nAnswer: -414023","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 + 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 1\/4, 37 in ascending order.\nAnswer: -0.01, 1\/4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 194 + 23 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -37. Suppose p*x = -5*q, -2*q = 2*x - 3*x - 9. Put x, 5, -2, 4 in increasing order.\nAnswer: x, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072087 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 2999*c**5\/60 + c**4\/8 - 2*c**2. Let t be (-4)\/6 - (-88)\/24. Let i be h(t). Round i to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7410 - -1?\nAnswer: -7408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -2110?\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/5, -58\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 - 32 = 0. Suppose 3*t + h = 2*t - 3*l, t - 13 = l. Let n = 160 - 88. Calculate the highest common factor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b - 4. Let n(z) = 4*z**2 - 62*z - 17. Let d be n(16). Suppose 2*r = 0, 16*r = -3*v + 18*r - d. Let a(f) = -20*f - 6. What is v*a(t) + 8*q(t)?\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-15*z + 38 - 38)*(1 + 3 - 5)*(-19 - 6 - 2) in the form p*z + o and give p.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03535 - 0.43535. Sort 1\/6, -0.18, w, 5.\nAnswer: w, -0.18, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.759 - -52.241. Which is greater: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75616.\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218270323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*f + 16595 - 16595.\nAnswer: -307*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. What is the nearest to -1 in -5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/71 - -8000\/213. Let r = -104\/3 + n. Find z, given that 2\/3*z**2 + r + 8\/3*z = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 918 divided by 51\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - 1.36. Let o = q + 1.5. Which is the closest to o? (a) 3\/8 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.21 (c) -1\/8 (d) 0 (e) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + -0.08. Let y = j - -0.20003. What is y rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26623\/1402 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1437966 by 17.\nAnswer: -1437966\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16524 and 919836.\nAnswer: 2759508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 2*t + 5*t + 2*t + 0*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*i = -135*i - 54. Let x be (i\/(-8))\/((-46)\/(-45080)). What is the greatest common factor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235 + -75. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2153952*k**3 - 23*k - 356757284.\nAnswer: 6461856*k**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -251*h - 56. What is the hundreds digit of i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/25)\/(2\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 14. Let x be (30 - d) + 4 + -1. Suppose -134 + x = -4*k. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -2.3. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*a - 80, -2*a = 5*d - 15 - 49. Suppose 0 = -4*i - 5*v + a, i + 6*v - v = 3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 179719 and 42.\nAnswer: 7548198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4768 - -4767. Let a = 8 + -4. Sort c, -21, a.\nAnswer: -21, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgz when three letters picked without replacement from {z: 1, m: 11, g: 1, k: 1, q: 4}?\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-1 - 0) - (-33 - -27) - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 2857.78168385.\nAnswer: 2859.78168385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108805?\nAnswer: 5, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5574 * -488.\nAnswer: 2720112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g + 0 + 2\/3*g**4 - 7\/2*g**3 - 38*g**2. Let c be j(21). What is the greatest common divisor of 45 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 2*y - 15, -4*f = 10*y - 15*y + 29 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(1 - -2) + -11. Let o = 426 + -6755\/16. What is the common denominator of o and 2 + -1 + (-105)\/a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6580 - -2247. Is 66 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 171\/38)*(-1 + -1). Let v(u) = 2*u**3 - 31*u**2 + 16*u + 1. Calculate v(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9121882.14631 - 721.\nAnswer: -9122603.14631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 63, 107, 175, 273, 407, 583, 807?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(-1 - -1). Suppose -3*r = -v*r. Suppose r*h - 2*h = -20. Calculate the highest common factor of h and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15173560 (base 8) to base 7\nAnswer: 41335110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 218. Let c be f(71). Solve c*i - 20 + 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272*v + 15 + 0 - 15)*(-4*v + 0*v + 5*v).\nAnswer: -272*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 179.6553 and 3589205.\nAnswer: 3589384.6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 96.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1349*l - 531. Let v(w) = -2741*w - 1061. Let z(h) = 4*v(h) - 7*x(h). Differentiate z(f) wrt f.\nAnswer: -1521","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502 and 6275?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 = -5. Suppose -b*q = -q - 14. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 52*k + 1. Let p(i) = -12295*i. Give h(p(b)).\nAnswer: -639340*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k - 134*k - 3254 = 70*k - 13742 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -3*r**4\/16 - 2*r**3 - 21*r**2\/8 + 42. Factor v(q).\nAnswer: -3*q*(q + 1)*(q + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2890 and 9815885?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 44 = -v - 3, 4*v - 92 = 2*g. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1390 - 941. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(-4 + (sqrt(162) + -1 - 1*sqrt(162))**2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(3\/19) assuming p is positive.\nAnswer: p**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/17)\/z)*z\/(z\/z**(-38)))**(-2) assuming z is positive.\nAnswer: z**(1222\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 37. Let p(d) = d**2 - 1239. Calculate p(v(z)).\nAnswer: z**2 - 74*z + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15524000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130125?\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 925.6419 litres?\nAnswer: 925641.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123657*u**5 - u**3 - 195284*u.\nAnswer: 2473140*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/5 - 26202*d**2\/5 - 288016*d\/5 - 94248 = 0.\nAnswer: -13090, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3 + 1. Suppose -r*v + 5*v = 15. What is the third derivative of 0*p**2 + 3*p**2 - 2*p**v + 4*p**5 wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 39*y. Let h be n(-1). Let t be (24\/h)\/4 - 0. Let s(b) = b - 5. Let d be s(3). What is the biggest value in t, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 20. Let n be (-6)\/14 + (-312)\/(-42). Suppose 0 = n*u - 4*u. Sort u, f, 0.07 in increasing order.\nAnswer: f, u, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100101010011 (base 2) to base 13\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 293820457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-58)*145)\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 60623630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -504 + -214212?\nAnswer: -215016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 1 m when three letters picked without replacement from pvhphmsd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 - 2030*q**4 - 507950*q**3 + 3639310*q**2 - 4210640*q - 8355872 = 0 for q.\nAnswer: -511, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-8))\/(48\/256). Solve 0 = 4*c + z - 8, i*z - 3 = -5*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose 0 = -h*a - 3 - 3. Let m = a - 0. What is the biggest value in -1, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3510 - -3514. Let k(j) be the second derivative of -j**5\/20 + j**4\/4 + 5*j**3\/6 + j**2 + 20*j. What is k(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 7*j - 7. Let d be i(5). Suppose -k - 2*p = 0, -k + d = -2*k - 3*p. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by 1\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -2, 3, 16, -229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2 + 2*y)*(-296*y**3 - 561*y**3 + 31*y**3) as x*y**2 + f*y + k*y**3 + d + l*y**4 and give k.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171\/4 + -43. Sort 0.4, 0.1, v in decreasing order.\nAnswer: 0.4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*d*r**3*s - 2*d*r**2 - d*r + 2*d*s - 54*r**3 - 28*r**2 + s wrt r.\nAnswer: 318*d*s - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/3 + 73*y**3\/3 + 180*y**2 + 1316*y\/3 + 1040\/3 = 0.\nAnswer: -65, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180 + 185. Let y(l) be the first derivative of 3\/2*l**2 + 6 + 4*l. Calculate y(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5110400*d**3 + 10220805*d**3 - 5110399*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**3 + 86*r**3 + 69*r**3 - 21*r**3.\nAnswer: 104*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -4 = -4*z + 2*z. Suppose 0 = -z*j + 54 - 10. Solve -5*r = -a*t - j, -5*r = -2*t - 3 - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 3. Let d = -1154 + 2307\/2. Which is the closest to d? (a) -5 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2 - 4\/3*g**4 + 8\/3*g**3 + 7\/2*g**2 + 1\/3*g**5 - 1\/30*g**6 + 0*g. Let x(q) be the second derivative of d(q). Factor x(w).\nAnswer: -4*(w - 2)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/10, 2\/9, -1578?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 40*h**2)*(4 + h - 4) + 4 - 4 - 7*h**3 + h**3 - h**3 - 4*h**3 - 4*h**2 - 2*h**3 + 4*h**2 + (0 + 2 - 3)*(5*h**3 + 0*h**3 - 3*h**3).\nAnswer: -55*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 2*y**5\/15 - 3*y**4\/8 - 3*y**3\/2 + 29*y**2. Let u(f) = 4*f**2 - 4*f - 4. Calculate 4*h(z) - 9*u(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + a**2 - 337*a - 3. Let w(q) = -q**3 - 3*q**2 + 2*q + 1. What is h(b) + w(b)?\nAnswer: 2*b**3 - 2*b**2 - 335*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 42 = k - 4*k, 5*c - 74 = -6*k for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -b - 0 - 4, 19 = -b + 4*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 * -2.6\nAnswer: 0.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15.830736 months?\nAnswer: 1.319228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 5. Suppose -8*g + 18 = -5*g. Let w(d) = d + 2. Suppose 43*m + 44 + 601 = 0. Determine g*s(l) + m*w(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + t**2 + t**2)*(-150*t + 114*t + 217*t + 163*t) as h*t**2 + z + k*t**3 + b*t and give k.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 67.746.\nAnswer: -13.5492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 108. Let h = r + -8. What is the lowest common multiple of h and 44\/8 - (-2)\/4?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -10366694.\nAnswer: 2\/5183347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f = -4*t - 7 + 15. What is the second derivative of -5*v**2 + 12*v**2 - v**2 + t*v**2 - 4*v wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/9 + 5037424*d\/9 - 3171955069472\/9 = 0 for d.\nAnswer: 1259356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 12*l - 10. Let t be 42\/(-147) - 46\/(-14). Suppose -11 + t = -4*z. Suppose z*x + 49 = -4*s - x, -23 = 2*s + x. Give y(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 16 = 24. Let j(p) = p**2 + p - 6. Let w be j(0). Let o = w - l. Solve -2*v + 3*t - 8*t = -18, 3*v - o*t = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**2 + 6*w**2)*(48 - 43 - 78)*(0 - 1 - 1).\nAnswer: 730*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 8*l**2 - 7*l + 9. Determine x(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*n - 7484, y + 1533 = n + 37. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011000 (base 2) in base 4?\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - x + 0*x**2 + 4 + 4*x**2 - 8*x**2 + 0*x**3. What are the prime factors of v(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146 - -3.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5, 0 = 5*n - 3*q + 5*q + 5. Let x = 28 - 23. Sort 2, x, n.\nAnswer: n, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/11, -5, 6\/799, 2, 1?\nAnswer: 6\/799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10669 is divided by 3533.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 193\/5782, -0.4, -12?\nAnswer: 193\/5782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:43 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30148411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, 0.09, 2, -0.4, -566?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:00 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2091, 8534, 19261, 34260, 53519, 77026?\nAnswer: 104769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294612 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 139 = 43. Suppose 26*y - 2242 = 7*y. Suppose -6*l - y + 214 = 0. What is the remainder when i is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 236.\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451523, -451517, -451513, -451511?\nAnswer: -451511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 0.5, 23.49019?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + -1 + (8605 - 8543)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*i - 16*i + 167 - 607 - 400 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 0, -d + 4*o + 3 = -0. Let u = d + 2. What is the third derivative of -4*p**2 + u*p**5 - 4*p**5 - 11*p**2 - 3*p**2 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 2*a - 1. Let b be f(1). What is the second derivative of 2*t**3 - 357*t**4 + 44*t - 2*t**3 + 394*t**b wrt t?\nAnswer: 444*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-2*-4*2 - (1 + sqrt(72) + 0 - (1 + sqrt(72) + 3))) + -5)*3.\nAnswer: -6 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n - 2*j, 3*n - 7*n - 2*j - 2 = 0. Let g(o) = o**3 + 7*o**2 - 6. Let k be g(-7). Let z(x) = 2*x + 14. Let s be z(k). Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 2*j - j, 8 = -2*j. Solve h = -2*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 5. Let c(o) = -4*o**2 - 1. Let k be c(-1). Let a be z(k). Suppose a*s + 8 = 4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437112223 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 8*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-5))\/((-6)\/(-405)). What is m rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385.1844 months to decades.\nAnswer: 3.20987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let u = -0.1 + x. Let o = -117.4 + 121.4. Which is the second smallest value? (a) u (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - 1)*(-25)\/10. Let h be (8\/k - 0) + 308\/(-20). What is the lowest common multiple of (7 + -2)\/h*-3 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12171 - -14744. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1.12.\nAnswer: -4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**8\/90720 - g**7\/22680 - g**5\/30 + 3*g**2. Let a(u) be the third derivative of s(u). Solve a(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*w + 155*w + 85*w.\nAnswer: 302*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/396540 and -83\/1030.\nAnswer: 40843620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93799394261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 255.3753 + 0.1847. Let g = -261 + w. What is g rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 18*w + 21. Let o be j(-9). Let s = o - -87. Suppose -6*d + s = -1611. What are the prime factors of d?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5988052*x**4 + 501138.\nAnswer: 23952208*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/108 and 82\/1053?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -149953 bigger than -149952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0035 + -0.0322.\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 - 9*n**3 - 9*n**3 + 13*n**3 - 3*n**3.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -7. What is the third derivative of -c*o**2 + 0*o**5 + 5*o**2 - 5*o**5 + 11*o**2 wrt o?\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1628 and 4070?\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1384 - 1381. Solve -10 = r + 3*t, -r + 0*t + 20 = -f*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 21, -2, -3, 20.\nAnswer: -6, -3, -2, 20, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101101 - 10001000000101?\nAnswer: -1110110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:20 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 2*d**3 + 3*d**3 + (5 + 0 - 3)*(-d**2 + 4*d**2 - 5*d**2)*(d + 0*d - 7*d).\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isgstmsstgssgssgtstn. Give prob of picking 2 t and 1 n.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192086745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34 - 28 - (2 + -1). Let y = -11 - -11. Suppose b*h - 735 = -y*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**4 + t**3 + 9*t**2 - 2*t - 2. Let x(y) = 5*y**4 - 69*y**3 + 1068*y**2 + 1296*y - 2308. Let i(o) = 2*p(o) + x(o). Factor i(g).\nAnswer: (g - 34)**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1170529072 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11205*p**2 + 25 - 22402*p**2 + 11197*p**2 - 59 - 7*p**3 + 34.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 695.34 - 695.05177. What is n rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3\/7*o**2 + 240\/7 + 18*o = 0.\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/5))\/(w**0\/w))\/((w**1\/w)\/w*w\/(w**7*w))*((w\/(w**(3\/2)\/w))\/(w\/w**(-6)))**(5\/18) assuming w is positive.\nAnswer: w**(1439\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/(-45))\/(91\/130) + 0 + 56 + -3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*o*z**2 - g*o*z - 14*g*o + g*z**2 + 152*o*z**2 wrt g.\nAnswer: 3*o*z**2 - o*z - 14*o + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:14 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-96)\/(-624) + (1259\/13 - 1) is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + 2.5. Let k = 8.2 + 1.8. Let o = k - 9.8. Put o, w, 3 in ascending order.\nAnswer: w, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1134 - 1136. What is the nearest to 1 in l, -2\/11, -3, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000029799966 to seven dps.\nAnswer: -0.0000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554189319 to the power of 1\/3, to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 765927495 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 281984018 and 556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:37 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - c - 5 - 12, 0 = -3*q - 2*c + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96124, -95801, -95254, -94477, -93464, -92209?\n\"Answer: z**3 + 106*z**2 - 2*z - 96229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + 38\/(-8). Let h(g) = g**3 + 5*g**2 - g + 5. Let w be h(d). Suppose w*o = 7*o + 12. What is the remainder when 5 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43978946.\nAnswer: 2, 11, 1999043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2113, 4266, 6419, 8572?\nAnswer: 10725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55738592 to the nearest integer?\nAnswer: 7466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1956)*((-67872)\/(-256))\/101*(-4)\/(-7).\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 2*o**2 - 2*o + 2. Let m be n(2). Calculate the remainder when 228\/30 + (-4)\/m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92757630 divided by -13251090?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.61939 centuries in years?\nAnswer: 7861.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:25 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -9 - (-22 - -23). Let t be (4 - 16\/12)*b\/(-2). Let p be -12*((-2)\/4)\/((-9)\/t). Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272178 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Suppose x - 5*i = 22, i - 14 = x + 5*i. Let y(k) = 311*k**x - 152*k**2 - 157*k**2. Calculate y(h(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-8))\/7)\/(95\/40)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*m + 239, -2*i + 3*i - 2*m = 77. Let r = i - 51. Find the common denominator of 12\/5 and (-6)\/(-2) - 166\/r.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbsi when four letters picked without replacement from {l: 3, i: 2, s: 6, p: 6, b: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 7037585?\nAnswer: 91488605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 7685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 6*y**3 + 0*y**3 + 3*y**3 - 2*y**2 in the form m*y**3 + v + z*y**2 + s*y and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 6*n + 20. Let g = 39 + n. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*d + 42*d + 45*d + 51*d - 6 as k*d + r and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwhwwwwww. What is prob of picking 1 h and 2 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + v - 2. Let m(k) = 4*k**3 + 11*k**2 + 3*k - 16. Suppose 4 - 10 = 6*o. Let f(x) = o*m(x) + 5*a(x). Calculate f(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 169*o**3 - 44*o**2 + 81*o**3 + 3 + 62*o**3 + 58*o**3 to p*o**2 + t + d*o + w*o**3 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1076*h - 1077*h - 3*h**4 + h**4 - 1. Let t(x) = 17*x**4 + 5*x**3 - 6*x**2 + 5*x + 17. Let i(m) = -2*t(m) - 18*z(m). Solve i(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34956, 279766, 944276, 2238336, 4371796?\nAnswer: 7554506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 13658261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*2 - sqrt(171))*-6)\/(sqrt(576)\/sqrt(4)).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 16. Let g be s(0). Let b(k) = -8*k + 162. Let h be b(19). Suppose h = -325*z + 327*z. Solve w + 5*t + 8 = 3*t, -z*w - g = 2*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -a. Let x(t) = t**3 + 4*t**2 - t - 5. Let d be x(a). Let o be 1*(7 - (d + -2)). Solve -i + 4*n + o = i, -3*i = 5*n - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/((-43)\/(-86)). What is the remainder when 73 is divided by (4 + q\/(-1))*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o - 3. Suppose -2*s = 2*s. Let w(a) = -1 - 1 + s + 5*a + 6. Calculate -4*b(i) - 3*w(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (4 - -20) + -12 + -3 + -14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6137, 2\/5, -3\/2?\nAnswer: -6137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 476 - 833 + 443 + (-2*v**2 + 0*v**2 - 5*v**2)*(3*v - v + 2*v) to b*v + f + i*v**3 + d*v**2 and give f.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4028188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 15. Suppose d*j = -7 + 87. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 96, -2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26573, 106250, 239045, 424958?\n\"Answer: 26559*d**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 divided by 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*n = 267*n - 1197 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/195)\/(1044\/6525)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25072 + -25059. Which is the closest to -2? (a) -7\/4 (b) l (c) -2\/7 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669 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: Simplify 3 + sqrt(1400)\/sqrt(7) - 1*(-1 + (sqrt(10)\/sqrt(5))**2 + sqrt(2)).\nAnswer: 2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 13*x**2 - 17*x - 22. Is q(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22387*m**3 + 47656*m**2 - m - 2?\nAnswer: -134322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-9)\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 142, -4295, -16368, -39905, -78734, -136683, -217580, -325253?\n\"Answer: -638*p**3 + 10*p**2 - p + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 45*q - 81*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 3*g**2 + 2*g + 125. Calculate o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 74 = a + 2*o, 5*a + o = 119. Let z = -13 + a. What is the lowest common multiple of 1\/5 + (-28)\/(-10) and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22947*w**4 + 37*w**3 - 12109981*w**2.\nAnswer: 550728*w + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 - 3) - (-4 - -20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-6)\/(-9) - 17\/21). Let k(d) = -2*d + 17. Let l be k(q). Solve -i + l = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/193 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:38 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47628 divided by -9?\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 11*s**2 - 10*s + 2. Let h be q(-10). Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32a8 (base 14) in base 11?\nAnswer: -6655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = a - 60 - 22, -y + 54 = -5*a. Suppose -3*s + 0*s + 174 = 0. Calculate the highest common factor of y and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 11*o**2 - 7. Let k be n(-4). Let i = 111 - k. Calculate the smallest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + 0 + 27 + -20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (2 + -3 + -3). Suppose -i*c + 14 = -0*c. Suppose -3*d + 15 = -6. What is the greatest common factor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*f**2 + 108*f.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -592, -846, -1100, -1354?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 2*d**4\/3 - 98*d**3\/3 - 10851*d**2. What is k(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 143 = -18*d + 74 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 27*i - 87. Calculate a(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 225 = -15*n. Let u = n + 42. Let c be (-5 - 0)*u\/(-35). What is the third biggest value in -0.6, c, 0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*a - 76 - 92 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16361, 65813, 148239, 263639, 412013, 593361?\n\"Answer: 16487*y**2 - 9*y - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**3 - 582*h**2 - 118*h - 77. Let f be q(-58). Let u be 2\/5 + (-16)\/(-10). Suppose u*y + f - 249 = 0. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447984476 to the power of 1\/2, to the nearest integer?\nAnswer: 21166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:51 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -5, -2, -43 in increasing order.\nAnswer: -43, -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:04 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5977, -9076, -14245, -21490, -30817?\nAnswer: -42232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/252*16\/(-12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20834850 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19a46d (base 14) to base 9\nAnswer: -1638780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -12.6, -0.5, -0.22, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -2 - 112\/(-8). Let p be (n\/6 + -3)*-4. Determine h, given that 1\/3*h**2 + 0 + 0*h - p*h**3 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 963 + -352. Let t = o - 593. What is the remainder when 57 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -76, -82, -88, -94?\n\"Answer: -6*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i + 15*i - 9*i)*((4 + 2 - 5)*(5*i - 3*i + 0*i) + (-2*i + 0*i + 3*i)*(-2 + 0 - 1)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 2*t. Let f be 62\/10 + t + -3. Let d = 0.6 + 1.4. Which is the closest to f? (a) 0.3 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - -1.99. Let t = 3 - j. Let i = 6 - 11. What is the closest to t in 2, i, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*g**2*n**4 - 1960*g**2 - 2*g*n**2 wrt n?\nAnswer: 1224*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 11*o**2 + 77*o - 762. What is a(11)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - 1*sqrt(1700)) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4255\/43 - -99. Suppose 5*l + a = 10, l - 15 = 6*l - 4*a. Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -0.03159\nAnswer: -0.66339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -695 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.83 + 0.97. Let j = 49 - i. Let o = j + -17.5. Round o to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2654*m + 1790. Let i(n) = -7936*n - 5369. Let u(v) = 6*i(v) + 17*t(v). Find the first derivative of u(s) wrt s.\nAnswer: -2498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9119189 + 9118464.8899. Let i = 724 + v. Let y = 0.104 + i. Round y to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -347, -1130, -2633, -5096, -8759, -13862?\n\"Answer: -40*p**3 - 23*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 105603003?\nAnswer: 105602765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssbg when four letters picked without replacement from {s: 5, b: 3, g: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-3*m - 6*m - 20*m)*(m**4 - 2 + 2).\nAnswer: -87*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -306*-0.4218\nAnswer: 129.0708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/250)\/((-11)\/5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.02? (a) 2\/3 (b) -4 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1903*s**2 + 122*s + 351. Is f(-3) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-260)\/8))\/((-1)\/(46\/23)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-18) + (-2)\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6385, 12781, 19179, 25579?\n\"Answer: g**2 + 6393*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 + -180.02. What is the biggest value in a, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by -134.\nAnswer: -94\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b + 1. Let v(w) = 14*w**2 + w + 294. Let z(r) = 5*p(r) - v(r). What is the first derivative of z(a) wrt a?\nAnswer: -18*a + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -913127, -913131, -913137, -913145?\n\"Answer: -t**2 - t - 913125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = f, -3*t = -t - 2*f. Let x = 3 + 1. What is the third biggest value in x, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 5*o - 2. Let x be r(-5). Let u be (-1)\/(x + 12\/8). Solve -3*f - 2*b + b = -6, 2*b = u*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.012 + -0.01200098. Round w to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 200 from -42712.\nAnswer: -42912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14467 and 1004479?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80364072 and 96.\nAnswer: 321456288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -133*z - 2414. Calculate s(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - 25 - 42 - (-44 + -19).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m + 4*w + 27 = 0, w - 27 = -3*m. Let y(l) = -l**2 + 8*l + 9. Determine y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - (-16 - -3). Let t = b - 9. Let x(s) = s**3 + 6*s**2 + 5*s. Let i be x(-5). Solve 3*a + 2 = -v - t, i = 4*v + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 41 = s, 4*s - 71*i = -76*i - 37 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/14260223 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*x = -14, x - 5 = -16*q + 18*q. Do -2\/34337 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123917\/15 + 8256. Let m = -2\/109 + -2065\/327. Let r = m - n. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/4075 and 38\/7.\nAnswer: 28525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/237114401?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 86 + 96 = 182 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*x**2 - 71*x**2 - 74*x**2 + 281*x**2 - 72*x**2 + 94.\nAnswer: -3*x**2 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356 + -350 + (0 - (2 - 1) - (-7 + 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2997328 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6 - 4. Let g = 0.4 - i. Let s = -25178.2 + 25178. What is the closest to g in s, -4\/7, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*h**2*j**2*t**2 - 2*h**2*j*t - 7*h**2*j + 2*h**2*t**2 wrt j?\nAnswer: 236*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:34 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 + 11*k**2 - 9*k. Let c(t) = t**3 - 4*t**2. Let z(s) = -4*s**2 + s. Let n(o) = 2*c(o) - 3*z(o). Let b = 19 + -23. Calculate b*r(v) + 11*n(v).\nAnswer: 2*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2718.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-2 - 45) + 64 + (-1 - 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46679 + 4141680\nAnswer: 4095001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8842.499mg to grams.\nAnswer: 8.842499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 1, j: 9, w: 1}. What is prob of sequence kxjk?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 1550, 2537, 3664, 4931?\nAnswer: 6338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**3 - 215*n**2?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14672790 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from {v: 2, l: 2, a: 2, f: 4, d: 2, h: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 849265692?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.023 + -156.023. Let u = o + 90. Let i = -66 - u. Which is the nearest to 0? (a) -4 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.056 + 0.0019. Let x = -0.1579 + k. Let s = -5 - -17\/3. What is the closest to x in -4, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2234 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*k**2*l + 8*g**2*k**2 - g**2*k*l - 23*g*k**2*l + 2*g*l - 2*k*l - 53 wrt k.\nAnswer: 2*g**2*l + 16*g**2 - 46*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4956 + -4954. Let z(k) be the second derivative of 0 + 3\/25*k**5 - 1\/4*k**4 + 1\/10*k**3 + 0*k**d - 21*k. Factor z(o).\nAnswer: 3*o*(o - 1)*(4*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -270?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5 - 45*s**4\/2 - 105*s**3 - 6752. Factor h(c).\nAnswer: 5*c**2*(c - 21)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192.99863 + -193. Round y to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 0.2, 1\/2, 12, -1\/40, 3.\nAnswer: -1.2, -1\/40, 0.2, 1\/2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1878098 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/75 and -43\/11.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x + 540. Let u be x\/10 - 3\/15. Let k(m) = m**2 + 8*m - 11. Is k(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9385 is divided by 4655?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 - 30. Let r be y(-4). Let w = -4422\/13 - -340. What is the closest to 7\/2 in r, w, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341206*i**5 + i**2*w**2 + 5*i*w + 10922*w**2 wrt i?\nAnswer: 6824120*i**3 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121226387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 36661564?\nAnswer: 36661606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2500*v - 2502*v - 2500*v - 2508*v + 13129*v - 3118*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124562\/791 or -157?\nAnswer: -124562\/791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 2*v + 9. Let k be u(-3). Let x be ((-472)\/12)\/(k\/(-18)). Let q = x + 124. Solve -q*m = -2*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y - 2. Sort y, -5, 1 in increasing order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5 - 147*h**4 - 2241*h**3 - 2093*h**2 = 0.\nAnswer: -13, -1, 0, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14784 and 1408?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2687782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(42 - 43) + (-454)\/39)*9?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 783?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56936 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 129*c**5\/5 - 2*c**3\/3 - 20*c + 444. Differentiate m(n) with respect to n.\nAnswer: 516*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 50*w + 17184 - 336 = 0. Calculate the highest common factor of w and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -5 + (-4)\/(-2). Let m(a) = -20*a - 4. Let n be m(o). Suppose -6*s + n = -4*s. Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (1\/4 - (-33)\/(-22)). Which is the second smallest value? (a) 21 (b) 5\/2 (c) z (d) -0.3 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 12*c**2 - 2*c + 5. Let a be s(5). Suppose -490 = 9*l - 23*l. Calculate the highest common divisor of l and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 9. Let d be n(19). Is (4 - d)\/((-6)\/(-381)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5307230 smaller than -5307221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/29))**(1\/8)\/(((d*(d**(-1\/8)\/d)\/d)\/d)\/d)**(-44) assuming d is positive.\nAnswer: d**(-31869\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/(b\/(b**(2\/9)*b)))\/(b\/((b*b\/b**(-6))\/b)*b*b**(-6)))**(-21))**(1\/9) assuming b is positive.\nAnswer: b**(-770\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-3)*n*n*n*n\/(n\/n**12*n)*(n\/(n*n**(-7)*n))\/(n**(1\/18)\/n) assuming n is positive.\nAnswer: n**(341\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*t = -29, 70*t + 3 = 4*j + 73*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113033 - -1012?\nAnswer: 120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3486\/13 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6924.746 years to decades.\nAnswer: 692.4746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 11*q - 3. Let r be i(7). Is ((-6)\/(-3))\/(2\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/3153 - 198767\/50448. What is the common denominator of (-606)\/(-15)*(-6)\/24 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35545 is divided by 11677?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.855408 decades?\nAnswer: 0.07855408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/300*-8 + (-104)\/30.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 - 7*n - 10. Is p(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 29*f + 26*f - 17*f**2 - 34*f - 3*f - 9*f.\nAnswer: -17*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:17 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5251*y**3 + 80*y + 253. Let d(i) = 5252*i**3 - i**2 + 120*i + 252. Let r(t) = -2*d(t) + 3*h(t). Find the third derivative of r(a) wrt a.\nAnswer: 31494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3518)\/22)\/(5 + -10). Let j = r + -453\/11. Find the common denominator of -55\/9 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, m: 1, o: 2}. What is prob of sequence mc?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37145 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1 + -2 - (25 + -27)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:57 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -24 (c) -0.2 (d) -3 (e) -3\/4 (f) 5 (g) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 56*s + 7050.\nAnswer: -2*(s - 75)*(s + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249*z**4 + 0*z + 137*z**2 - 335*z**2 - 2*z - 90*z**4 + 62*z**4 wrt z.\nAnswer: -6648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 9. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335 and 5830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d - 65. Which is bigger: d or 12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.6 + 44.6. Let t be (-86)\/(-18) + (-2)\/(-9). What is the nearest to t in -4, 5\/4, s?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -68580\nAnswer: -342900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2\/8 - 678*u - 306456 = 0.\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:04 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 247529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 9. Let x = r - -141\/4. What is the second biggest value in -2\/15, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, 768858?\nAnswer: 768858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) - 699*4\/2376. Let a = i + 16\/11. Factor 0 + 0*d**2 + d**4 + a*d**5 + 0*d**3 + 0*d.\nAnswer: d**4*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*u + 2*u. Let a = u + 6. Suppose 0 = 5*r + 3*p - 285, -a*p + 5*p = -r + 64. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*c**2 - c + 3*c + 0.\nAnswer: 7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 22*i**2 + 2*i - 1. Let g(w) be the third derivative of w**5\/60 + w**4\/24 + 402*w**2 + 1. What is -2*g(r) + k(r)?\nAnswer: 20*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -83, -16, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6724*j - 7693*j + 26163 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6101 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 1 + (-1290)\/(-10). What is the lowest common multiple of (-2)\/(-10) + i\/45 and 4\/(-10) + (-74)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w + 23. Let t(x) = 36*x - 71. Determine 4*t(d) + 11*z(d).\nAnswer: d - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 63*x - 9. Let d(k) = 32*k - 5. Let j(r) = 5*d(r) - 3*w(r). Let p = 14 - 17. Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02385 to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26176623*-0.3.\nAnswer: 7852986.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 608 and 3328.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + (-27)\/2)*-60?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -279, -1, 0, -28, -2 in ascending order.\nAnswer: -279, -28, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 51. Calculate the remainder when 56 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245 - 467 + 234)*(s - 4*s + 5*s)*(3*s - s + 0*s).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*l**3 - 6*g**2*l + g*l**2 + 9327*l**3 - 2*l**2 + 317 wrt l.\nAnswer: 24*g**2*l + 2*g + 55962*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 20*v - 1. Let t(a) = 99*a - 6. Give -11*i(c) + 2*t(c).\nAnswer: -22*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5267 divide 618756626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/269589 or 0.2?\nAnswer: 1\/269589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -20 - 1 - 38 - w - 13. Let f be a(10). Let d = f + 88. Solve 3*y = 4*u - 6, d = 5*u - 4*y + y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/11 - 14342*o**3\/11 - 1898260*o**2\/11.\nAnswer: 2*o**2*(o - 7301)*(o + 130)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 1598*i - 1593*i + 4*z, 2*i - 4 = 3*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = c - 3*u, 0 = -c + 2*u - u + 22. Let s = c - 9. What is the smallest common multiple of s and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t - 337 - 2*t + 2*t**2 + 12*t.\nAnswer: 2*t**2 + 35*t - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -923 - -927.43. Let t = b - 4. Let k = t - 0.4421. Round k to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -433333, -5, -1, -4 in ascending order.\nAnswer: -433333, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - j + 1. Let n(f) = 4*f**2 + 6*f - 6. Let k = 29 - 37. Let w be 5\/((k\/4 - -3) + 0). Determine w*z(x) + n(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26008684697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55944703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 7*a - 6. Let o(v) = v + 1. Calculate -i(m) - 5*o(m).\nAnswer: -5*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r + 32 = -50*r. Suppose r*m = 2*p - 4, 0 = -3*p + 7*m - 6*m + 31. Solve 0 = w - 0*v + 2*v - 8, -5*w - p = -3*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 6*c**2 + 17*c - 5. Is i(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92794 - -0.42915\nAnswer: 92794.42915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11325310 - -5?\nAnswer: -11325301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 5, w: 2, s: 4, v: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 571398420 by 655.\nAnswer: 872364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(72))**2 - (0 + (sqrt(72)\/sqrt(4) - sqrt(18)) - sqrt(18)) - (6*-2*sqrt(2) + sqrt(2) - (4 + sqrt(288))).\nAnswer: -22*sqrt(2) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + -6)*63\/15. Let q = x + 75. Calculate the remainder when 71 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489314 to the power of 1\/2, to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*5\/1. Suppose 0 = -2*o + 4*i - 4, -3*o - n*i + 6 = -5*o. Suppose 2*h = p - 3 + 4, 0 = 2*h - o*p + 2. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3 - 3*o**2\/2 - 4*o - 8. Is z(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d7 + 0?\nAnswer: -3d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 366 + -243. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 - 2)\/3*1 - 2. Suppose 6 = t*n + 33. What is the tens digit of (-2)\/n - (4568\/(-18) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*d + 10 = 0, 9*d - 29 = -3*g + 5*d. Suppose -5*v - 43 = -2*z - 183, -4*z + 110 = g*v. Calculate the least common multiple of 40 and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*r = 4, 5*r - 10 = -4*t - 0. Let g(v) = -v**3 + 5*v**2 - 2*v + 5. Let f be g(t). Sort -3, f, 3 in descending order.\nAnswer: 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 - o + 12. Let b be y(-10). What is the second derivative of -k - 460 + 120*k**2 - k + b wrt k?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -1. Let v be (-2)\/(y - -1)*-6. Solve -3*s + 3*n - 12 = s, -v*s + 12 = 3*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 16413 - 19869 = 0. Let k = q - -10125. Let t = -4316 - k. Round t to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*a - 12 = 0, -4*s = 1007*a - 1003*a - 36 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 + 1112211020?\nAnswer: 1112202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122 + 12012220?\nAnswer: 12100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -1228?\nAnswer: -122d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 683*b**3 + 132 with respect to b.\nAnswer: 2049*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 3*i + 3*i + (4 + 2 - 3)*(6*i - 8*i + i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccjjcc. What is prob of sequence cccj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k + 4. Let q(b) = -3*b**2 + 20*b - 12. Let z be q(6). What is m(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 - 3*h**2 - 3*h + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10487358?\nAnswer: 2, 3, 7, 83233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 327*d - 2484. Give l(5).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 2*f - 110, 5*r = -f + 155. Suppose -2*h - h = -r. Solve 2*j + 4 = 4*n, -j - h + 2 = -4*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 80 = 5*x. Let c = 43 + x. Sort 11, -4, c in increasing order.\nAnswer: -4, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.212 + 0.212. Let o = 27 + -24.9. Let d = o + -0.7. Is d < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(150)\/(sqrt(30)\/sqrt(3)))\/(sqrt(3) - -3*sqrt(3)*4 - sqrt(3)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81542\/27 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 2*k**2 + 2*k**2)*(2*k + 0*k - k) + (2*k**2 - 5*k**2 + 4*k**2)*(k - 6 + 6).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 2*o + o + 111 - o**3 - 59 - 55 - o**2. Let b = -5 + 8. Suppose -b*q = 2*a + 2, -q = -5*a + 11 + 1. What is k(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 94815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6665\/1137 (b) 0.2 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + h = -4236, 4*v - v - 2538 = -3*h. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = 21. Put 5, 41, w in decreasing order.\nAnswer: 41, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1465779 from -0.02.\nAnswer: -1465779.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 714 and 366282?\nAnswer: 366282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = -6. Calculate the common denominator of 119\/18 and g\/((-4)\/(-3)) - 96\/(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = -368*u - 4596 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 3, p: 15}. Give prob of sequence pp.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**2 + q**3 - 3*q**3 - q**3 + 10*q**2 + 12*q in the form p*q + y*q**2 + b*q**3 + u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwttcwtjctbt. What is prob of sequence bct?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14552*o - 1964512. Calculate f(135).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 934956495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*k + 1314 = -1678 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237350 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/6)*c\/((c*c\/(c\/(c**18\/c*c)*c))\/c*c)*c*c**8\/c*c**(-10))**(2\/23) assuming c is positive.\nAnswer: c**(-121\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 549 - 525. Let v(n) = 59*n**3 + n**2 + n + 1. Let q be v(-1). Let z = -22 - q. What is the highest common factor of w and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 512*l. Let t(n) = -2584 + n + 10*n + n + 2584. Give t(y(a)).\nAnswer: 6144*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*y + 68, -6*o + 36 - 103 = -7*y + 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*g + 15, -3*g = 2*l + 2*g - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*o + 88*i - 92*i, -2*i = o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-6)*12\/(-8). Let t be 3 - (2\/(-1))\/(-2). Suppose -m - 9 = -2*z, 2*z + 0*m - t*m - 12 = 0. Solve -2*s + g = 2*r, 0*r - r = z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 24. Let f = -34 - -20. Let i = f - -36. Calculate the remainder when i is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37303801\/1896 - 19675. Calculate the common denominator of j and 61\/474.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 14*v + 26. Suppose 622*l - 66 = 628*l. Give m(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 19*f**3 - 70*f**2.\nAnswer: -f**2*(f + 5)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 20247195 and -0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1686*b - 11797. Let s be f(7). Solve -5 = 5*p - 5*x, s*x - x = 5*p + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*p**2 - 12*p**2 + 8 - 40*p - 15*p**2.\nAnswer: 2*(p - 2)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3657)\/(-115) - (148 + -118). Solve -o + 1\/5*j**2 + 8\/5*j = 0 for j.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-30))\/(40\/(-80))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-132)\/(-16))\/(2\/16). Let v = z + -36. Let w be 200\/((-1)\/(v*100)). What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 598*m**6 + 7*m**2 + 62?\nAnswer: 71760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - g - 1. Let q be l(-1). Suppose 0 = q*a + 8 - 2. Let u be a\/(-8) + 124*(-5)\/(-80). What is the highest common divisor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32317452*z**2 + 10576455*z.\nAnswer: 64634904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)*w)**(-2\/3))**8*(w\/((w\/w**1)\/w*w)*w*w*(w**(-7)\/w)\/w)**34 assuming w is positive.\nAnswer: w**(-3172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 285021*j**2. Let i(r) = -418*r. What is i(v(k))?\nAnswer: -119138778*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 - 19*t**2 - 384.\nAnswer: 8*t**3 - 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 13*x + 10. Let z = -189 + 181. What is the units digit of y(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 - 1 = v, -46 = -2*v - 2*p. What is the third biggest value in 3, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 125, 430, 1005, 1982, 3493, 5670, 8645?\n\"Answer: 22*i**3 + 3*i**2 + 142*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2 - 10. Suppose 2*j + 3*x - 69 = -0*x, j + n*x - 39 = 0. What is the highest common divisor of j and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1817 divided by 4\nAnswer: 1817\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/3)*z*z\/(z\/(z\/(z\/(z*z**1*z)*z*z)*z))*(z**5)**24)**(-16\/9))**(1\/34) assuming z is positive.\nAnswer: z**(-2984\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**3\/3 + 2*z**2 - z - 4. Let l be k(3). Let t(m) = -5*m**2 - m**3 - 4*m + 3*m - 2*m + l. Give t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7516315nm to micrometers.\nAnswer: 0.0007516315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-4)\/(-12)*(-1 - 1\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-88998)\/1) + (3 - -1). What is the first derivative of -l*u + 77 + 28*u**2 + 89006*u wrt u?\nAnswer: 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 4 + -1 + sqrt(2736))*6.\nAnswer: -288*sqrt(19) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000375487 rounded to 6 decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (sqrt(3520) + 1*sqrt(3520))\/(sqrt(140)\/sqrt(7) - sqrt(5))*-5)**2.\nAnswer: 160*sqrt(11) + 70401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(432) + sqrt(12)) - (sqrt(17) - (sqrt(51) - sqrt(153)\/sqrt(3))\/sqrt(3)))**2.\nAnswer: 612\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 8. Suppose 9*z - 4660 = 3*a + 4*z, 4*a + 6232 = s*z. What is a rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -26*s + 23*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*((-1)\/2)\/(-2 + 3). Suppose -1840 = l*r + 4*r. Round r to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -1, 273, 2, -4, -1\/4 in descending order.\nAnswer: 273, 2, 0.15, -1\/4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-9 + 14 - (1 - -6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*1 + -1 + sqrt(396) + sqrt(396) - sqrt(396).\nAnswer: -1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32022 (base 4) to base 16.\nAnswer: 38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -781 + 781. What is the closest to 1 in 0.4, -2, n, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 12 - 22 = p, p = -4*v - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((-6)\/(-2) - 2). Solve 0 = z - 4*i + 24, 3*i - 25 = 2*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 21 = -3*x, -5*b = -3*x - 37 + 104 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53243 = -2894*b - 82775 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4369*q**2 + 2186*q**2 - 17*q**3 + 2183*q**2.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7954 by -56625.\nAnswer: 7954\/56625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 37*r - 36*r + 2 + (2 - 5 + 1)*(-4*r + 0*r - r) in the form o*r + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 1\/8, 0.6, -3\/2, -348?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*r**3 - 53 - 28*r**2 - 161\/2*r.\nAnswer: -(r + 1)*(r + 2)*(r + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 976*k**2 + 3852*k - 2880.\nAnswer: 4*(k - 240)*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -34581 (base 12) to base 11\nAnswer: -485aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(10*d + 0*d - 4*d + (1 - 4 + 2)*(0 + d + 0) - 4*d - 2*d + 4*d + 2*d + 0*d - 4*d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2 (base 15) to base 4.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-12))\/((-2)\/(-8696)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13659.1 + -14721. What is d rounded to the nearest ten?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 23*r + 14. What is the hundreds digit of f(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 + -109. Find the common denominator of y\/9*(0 + (66 - -7)) and 4\/(-14) + 424\/406.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m - 4. Let l = -24 - -9. Let d = -10 - l. Give k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/59485 or 1?\nAnswer: -8\/59485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6704 - 6704.134231. What is l rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 711536 by -355768.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 10*v**2 - 7*v - 3. Let k be h(9). Let m be ((-5)\/(k\/2))\/2. Is m less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 9*z. What is the nearest to z in 0.2, -1\/4, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 25. Let h = z - -9. Let -23*n**h + 2*n**3 + 23*n**4 + 2*n - n**5 - 3*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.2157 times 0.33\nAnswer: -4.031181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - 82*v**4 + 3*v**3 - 75*v**4)*(v + 3 - 3).\nAnswer: -157*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 11808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 315 + -310. Solve y - 8 + l = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 - 1281150*h - 7686908\/3.\nAnswer: 2*(h - 1921727)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58, -2827, 2, -7, 0, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 1. Let d(k) = -86*k - 1. Let x(h) = -d(h) - 2*j(h). Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 2609398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.985 - -0.015. Let f = -743 - -736. What is the third biggest value in f, 3, y, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 17 = -r, -4*r = -2*k - 3 + 1. Let w be (-12)\/28 + (-85)\/(-35). Let a(p) = -3*p**2 + p**2 + 5*p**2 - 1 + p - 4*p**w. Determine a(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/21240*(-29)\/((-1015)\/(-30))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 - -5760?\nAnswer: 5760.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/24 + n**2. Let z be 1 + -2 + 2 + -1. Let k(h) = -h - h + h + z. What is t(k(s))?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 27 - 62*z - z**2 + 2.\nAnswer: -z**2 - 62*z - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t - 4202*t**2 + 8413*t**2 - 4212*t**2 + 30. Calculate o(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/8)\/((-4)\/(-8)). Suppose -h + g*u - 2*u = 8, -20 = -2*h - 3*u. What is the second derivative of 9*j + 2*j + j**h + j**4 wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10034111.\nAnswer: 31, 431, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 1\/6, 1\/3, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/8 and -115\/19074?\nAnswer: 76296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3231? (a) -4 (b) 3 (c) 0.2 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - (-7 - -6 - -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 14, 0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (1 - (2 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37744, -75459, -113174, -150889?\n\"Answer: -37715*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29990223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2103 = -5*f - 2083 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 18*b**2 + 9*b + 47. What is the tens digit of s(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -25 (b) -0.01 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -1139\nAnswer: -25058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k - 756 = 18*k. What is the second derivative of k*b + 438 - 438 + 14*b**4 wrt b?\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/3 (b) -212\/701 (c) 0.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:50 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -8*y + 6, 3*y = 20*h - 16*h + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 731607.\nAnswer: 731606.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/873 or 1?\nAnswer: 10\/873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3246, 6493, 9740, 12987?\n\"Answer: 3247*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (37 - 39) + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Suppose 51*m - 149 = 4. Let j(v) = 1. Determine m*j(r) - x(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/2 + b. Let j(r) = 4*r + r**2 - 3*r - 2*r. Let p(y) = 3*y**2 - 4*y. Let o(x) = 4*j(x) - p(x). What is f(o(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/20 + a**4\/4 + a**3\/6 - 3*a**2\/2 + 4*a. Let u be i(3). Factor 0 + u*j + 1\/2*j**2.\nAnswer: j**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342416.\nAnswer: 2, 3, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7)*j)\/j*j*j*j*(j*j*(j**(-7\/5)*j)\/j)\/j*j**(-1)*j\/((j*j**(-8)*j*j)\/j))\/((j**1\/j)\/(j\/j**(1\/13)))**(-2\/97) assuming j is positive.\nAnswer: j**(16273\/6305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 97 = 2*i. Suppose 4*o - i = -5*v, -5*v + o - 2*o + 88 = 0. Let c = 23 - v. Solve -c = -4*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10660 divided by 5\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udd when three letters picked without replacement from uuduulardrddraraaadd.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 196?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 44, -1, 19046 in decreasing order.\nAnswer: 19046, 44, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1217501 divided by -139.\nAnswer: 8759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45241, -90784, -136929, -183976, -232225, -281976?\n\"Answer: -50*i**3 - i**2 - 45190*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/144 and 95\/648.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 551006186 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465324 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -2*p + 2*l, -2*p + 4*l = 8. Suppose 0 = 4*k - p*k - 92. Let m = k - 9. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -31. Let j(r) = r**3 + 3*r**2 + 5*r + 5. Let t be j(n). Let x = -8809\/495 + 196\/11. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z + 2 = 58*z - 42 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 16 = 4*u, 4*u - 23 = 2699*v - 2696*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225544, -451084, -676624?\nAnswer: -902164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109846 by 401.\nAnswer: 109846\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (-3)\/15)*-3. What is the smallest value in r, 3\/8, 1, 6\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 14*r = 18*r - 4, -r + 7 = 86*s - 82*s + 27 - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -352*q + 122*q + 1254*q**2 - 1251*q**2 as n + h*q**2 + g*q and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 489168719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*t**2 + 361*t**2 - 94*t**2 - 85*t**2 - 78*t**2.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323220022 (base 4) to base 11.\nAnswer: -157551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5572?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2750\/12 - 9\/(-27). Let k = v - 258. Calculate the common denominator of (-66)\/4 - (9 - (-1 - -11)) and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 0*k**6 + 0*k**4 - 1\/7*k**7 - 4 + 0*k**5 - 1\/3*k**3 + 0*k**2 + 0*k. What is the third derivative of g(y) wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -33*l - 5. Let f be u(-4). Let r be (f - -5) + -1 + 1. Suppose -a - 2*a = -r. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2184 - 1381 = -157*q + 42*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 2*h, -4*h + h = -4*p + 10. Let s = -9 + p. Let x = s + 10. Put 0, x, -11 in increasing order.\nAnswer: -11, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10644 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**2 + 17*v**2 - 19*v**2. Let f(y) = -5*y**2. Calculate w(f(a)).\nAnswer: -250*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 8. Let u be l(4). Let k = 19978 + -99456\/5. Let s = k - 87. What is the closest to 1 in u, -0.04, s?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*v - 5, -2*v - 24 = -4*o + 2*v. Suppose o = -3*i + 20. Which is the third smallest value? (a) 1 (b) i (c) -0.3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f. Let n(g) = -7*g. Let y(x) = 5*n(x) + 6*r(x). Let w(j) = -34*j - 3. What is w(y(q))?\nAnswer: -34*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let s(z) = 139*z**2. Determine s(h(j)).\nAnswer: 556*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*p - b - 338, 4*p + 2*b - 414 = 0. Suppose -112 = -2*c - p. Solve -4*v + 12 = -c*u, 3*v - 3 = 2*v + 5*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 14*o**2 - 11*o + 30. Let b be v(-13). Let d = 12 + 1. Let y = b + d. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2*m**2 - 2*m**2)*(-89*m**3 - 25*m**3 + 5*m**3).\nAnswer: 436*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 + 5. Suppose -q + 0 = 2. Let a = -2 - q. Determine m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947932.3 seconds in milliseconds?\nAnswer: 947932300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n**2 + 3*n. Suppose 4*l = 2*l, 3*s - 3*l - 9 = 0. Calculate r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5))**(-49))**(-16)*((j\/j**(-2\/5))\/j*j)**(-4\/3)*j\/j**(-3\/5)*j**(-1\/4)*j assuming j is positive.\nAnswer: j**(28253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 5\/12, 2\/5, -0.38, -0.3, -6.5, -1\/4?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 3, x: 1, k: 5, o: 1}. Give prob of picking 1 u and 1 k.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 69. What is the common denominator of t + (-9 - -8 - (-2)\/(-27)) and -151\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20807760 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooohhhhhhooho. What is prob of picking 2 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1769, 1770, 1773, 1778, 1785, 1794, 1805?\nAnswer: 1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -6, 0 = -44*z + 48*z + 5*r + 2. Calculate the least common multiple of z and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 617\/5 - 123. Which is the closest to -3? (a) -5 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 + k - 1. Let a be i(1). Let b be (-40)\/6 - a\/(-12). Let z(v) = v**3 + 7*v**2 - 2*v - 3. Calculate the remainder when 21 is divided by z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26325*n**3 - 33*n + 14*n - 26322*n**3 + 19*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496044*g**2 + 676926*g**2 + 731818*g**2 + 2 - 2.\nAnswer: 912700*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20466461? (a) 0 (b) -1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*s**4 - 14*k**2*s**3 + 2*k**2*s + 26*s**4 - 171*s**2 wrt s?\nAnswer: 24*k**2*s - 84*k**2 + 624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24007 divided by -5?\nAnswer: -24007\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:55 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(2*sqrt(6)) + 3)**2 - ((sqrt(336) - sqrt(336)*1)\/sqrt(7))**2.\nAnswer: 3*sqrt(3) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -82, -184, -326, -508?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*f**2*p**3 + 63*d*f**2 + 2*f**2*p**2 - 102*p**3 wrt d.\nAnswer: f**2*p**3 + 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 13. Let x be 19 - -4 - f - 2. Let m = x + 6. Solve -15 = -3*d - o, -2*o - 1 = -5*d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - x - 106, 152 = 30*o - 27*o + 2*x. Is o a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 50)\/(4199\/(-1989))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 + 2*q**5\/15 + q**4\/24 + q**3\/6 + 2*q**2. Let m be c(8). What are the prime factors of m - 5 - (-1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*r + 863, 393 = -46*a + 48*a + 3*r. What is the highest common factor of 7107 and a?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-31 + -3)*4\/(-8). Are 17 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 17\/2*q**2 + 3 - 12*q - 1\/4*q**4 + 4*q**3. Let x be n(13). What is the highest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 751, 1, 4, 0, -216 in descending order.\nAnswer: 751, 4, 1, 0, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*k**5 + 80*k**4 + 599*k**3\/2 + 201*k**2\/2 + 9*k = 0.\nAnswer: -1, -3\/16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 6, v: 4, k: 1, g: 2, l: 3}. Give prob of picking 2 v, 1 k, and 1 l.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwuu when four letters picked without replacement from pfwwppuup.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.1. Let d be (-30)\/(-9)*6\/4. Suppose 6 = -t + d. What is the closest to y in -0.4, 5, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 33*p**4 - 6*p**3 + 9*p - 8. Let x(d) = -66*d**4 + 11*d**3 - 20*d + 15. Let n(y) = 11*b(y) + 6*x(y). Find the second derivative of n(g) wrt g.\nAnswer: -396*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (-1274)\/126 + (-5)\/(-3). What is the biggest value in 16, -5, l?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.8426 - 1.1574. Let v = -24.68 + -0.32. Let t = v - p. Which is the third smallest value? (a) 6 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 58*p**2 + 62*p + 281. Let u be s(-57). Sort u, 1\/3, 179.\nAnswer: u, 1\/3, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**8\/336 - 43*j**6\/120 - 67*j**4\/8 + 204*j**2. What is the second derivative of f(c) wrt c?\nAnswer: -20*c**3 - 258*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31743 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203\/(-56) - 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/539 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 43*z - 43. Let c be v(-1). Solve -f - 3*n - 17 = 0, c*f - 8*f - 2*n - 20 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338\/(-61 - 3379\/(-62))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Suppose -l - 9 = -2*t, 3*t - 26 = -0*l + 4*l. Suppose -t*u + j*u = -4*v + 42, 3*v = 5*u - 41. Solve -i + u = 3*p, i + 8 = p - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 3\/2 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2. Let l(w) = -2*w**2 + 8479*w + 5. Determine l(z(j)).\nAnswer: -18*j**4 - 25437*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*t - 1828 - 2848 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 3*v**2 - v - 2. Let l be c(2). Let k be 4 - 1 - l\/4. Find the third derivative of 4*a**k + 64*a**2 - 61*a**2 + 0*a**3 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqjq when four letters picked without replacement from jqqjjqjjqjqqjqqq?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x + 8. Let i(b) = 6*b + 12. Let q be i(-3). Let z be ((-3)\/(-3))\/((-1)\/q*-1). Calculate f(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*k + 145*k - 171*k - 108*k in the form c*k + m and give c.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 0.94 (c) -1\/3 (d) -0.2 (e) 1 (f) -1\/14 (g) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*z + 1, 2*d + 9*z + 50 = -9 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 divided by -1249?\nAnswer: 163\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -6. Let u = -911 - -3647\/4. What is the nearest to f in -0.3, 0.1, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 - 1) - 57) + 13 + 36 + -42?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-6)\/(-7))\/((-6)\/(336\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 1841 + 3571 = 76*y. Solve -86*w + 5*q + 5 = -y*w, 5*q = 2*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9789555.\nAnswer: 3, 5, 89, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/27*-15*(-6)\/20)\/((-3)\/45)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) 0.6 (c) 1\/3 (d) 7 (e) -2206\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-24)*56\/60*5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/50 - 64*y**4\/3 - 33919*y**3\/5 + 206082*y**2\/5 - 2658*y. Factor j(t).\nAnswer: -2*(t - 2)*(t + 321)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 9979?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/3 - 7*d**3\/6 + 11*d**2\/2 + 8. Let y(i) be the second derivative of b(i). Differentiate y(u) with respect to u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Suppose 2*i + 2*g = 164, 0 = -5*i - 0*g + g + 440. Let o = 86 - i. Determine z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457*g - 1134*g - 69289 = -4514 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 72. Let m(c) = 8*c**2 - 18*c - 9. Let t(s) = 121*s**2 - 264*s - 132. Let w(l) = 44*m(l) - 3*t(l). Calculate g(w(a)).\nAnswer: 11*a**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o + 363. Let q = 115 + o. Let r(a) = -a**3 - 6*a**2 - 7. Give r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/24 + 2*k**3\/3 + 2*k**2. Let x(b) = 12*b - 5*b**2 - 1 + 0*b + b**3 + 16 + 17*b**2. Let c be x(-11). Determine p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*288416.\nAnswer: 16151296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8812861 to four dps.\nAnswer: 0.8813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -74868.56 to the nearest ten.\nAnswer: -74870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/11 - 47*t**4\/11 - 731*t**3\/11 - 3757*t**2\/11.\nAnswer: -t**2*(t + 13)*(t + 17)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x + 2. Let a(f) = f - 3. Let u(v) = v**2 + 6*v + 2. Suppose -8 = k + 3*w, 0*k - 5*k = -4*w + 21. Let h be u(k). What is h*p(c) - 2*a(c)?\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -898\nAnswer: 7\/898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15303 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/8, -2\/7, -0.026, 0.1?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 41*m - 735 = 0. Find the second derivative of -230*d**3 + 11*d + m*d**3 - 59*d wrt d.\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3569 - 57053\/16. What is the common denominator of b and 217\/28 - (-2 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(-3 + 7 - 2)*(19 + 19 - 15)*(0 - 11*n + 0) in the form i + u*n and give u.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**3\/3 + 5*l**2\/2 + 1301*l - 1. Calculate g(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*w - 2. Let x = w - -35. Suppose -x = -o - o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 9*c**2 + 11*c + 2. Determine s(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60 (b) 2 (c) 823\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 3*o + 0*o + (-3 + 5 + 0)*(0*o + 8*o + 3*o)*(0 + 1 - 2).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 4, e: 1, d: 5, i: 3}. What is prob of sequence ihe?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*0\/(-10). Suppose 123 = -v*p + 3*p. Solve 6*h = h + 2*k + 10, -5*k = 4*h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4415?\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 5 = -29. Suppose w*k = -16*k + 828. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times -0.02301?\nAnswer: -0.34515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1773 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 8)*(1 + (-21)\/30)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (90503\/(-258580))\/(2\/(-80))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 260616227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2012 divided by -503.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 709*n + 3. Let z(q) = -4*q - 1. What is k(w) + 3*z(w)?\nAnswer: 697*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s*(s\/s**(3\/7))\/s)\/(s**(1\/4)\/s)**44)\/((s\/(s*s**(5\/7)))\/(s\/(s\/(s\/s**(2\/23)))*s))**(2\/5) assuming s is positive.\nAnswer: s**(112289\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -13*w**3\/6 - w**2\/2 + 2*w. What is the tens digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let u = 2.51 - -0.09. Let d = u + -5.6. What is the third smallest value in d, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q - 10*q + 3*q**2 - 6*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2316.9999904 - 2317.4. Let j = 0.4 + o. What is j rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 77*b**2 - 63*b + 142. Calculate d(-24).\nAnswer: -1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 7*i**2 + 7*i + 14. Let h be l(-6). Suppose -c + 193 = 3*y, -h = -c - c. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4, 2*j + 10 = -3*b - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 2*z + 4. Let f(j) = -10*j**2 + 7*j - 14. Let c(t) = -4*f(t) - 14*h(t). Let a(q) = -493*q. Give c(a(k)).\nAnswer: -486098*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 1 + 12. Let q = -8 + j. Let w(g) = q*g**2 + 0*g**2 + 4*g**2 - 4*g**2. Let y(f) = 2*f**2. Calculate y(w(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.2 (c) 2 (d) 885 (e) -3 (f) 3 (g) 12\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - -48. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 2*o**3 + o**4 - o**4 - o**3 - o**2 - o**5.\nAnswer: -o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -b27330?\nAnswer: b27328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25 and 29\/3419.\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12788 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/23545671 and -43\/89.\nAnswer: 2095564719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1415 and 940132040.\nAnswer: 940132039.8585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 488529757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:39 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*g + 42, 3*g - 6 = 4*r + 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:29 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - q - 96 = 172, 2*c - 542 = 5*q. Suppose -4*j + 5 + 7 = 0, -2*g - c = 2*j. Let t = -72 - g. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {y: 2, z: 1, t: 4, g: 2, r: 3, f: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from fvsvvvvsvkhkkvvvv.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -671*b**3 - 10*b**2 - 46*b - 57. What is the units digit of k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 10 = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-42))\/(4*9\/108).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1 - 4. Let q be (2*3)\/3 - -16. Let u be (0 + 1)*(-4)\/q. Which is the third smallest value? (a) 2 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 u when three letters picked without replacement from {c: 2, u: 3, y: 6, k: 2, p: 6}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997190*w - 81410*w + 6 - 12 + 9.\nAnswer: 915780*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9508, -9893, -10280, -10669?\nAnswer: -11060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 1. Let r(p) = 7*p**2 + 10*p + 5. Let s(x) = r(x) - 6*u(x). Let c be s(-9). Find the second derivative of a**c + 1 - a - 2 + 1 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 19*z**2 - 19*z - 18. Let a be g(-18). Let v(t) be the third derivative of 1\/24*t**4 + 1\/3*t**3 + a*t + 0 + 2*t**2. Calculate v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*j + 120*j = 420 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5389 - 12.5373. Let b = i - -11. Round b to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjbjjbbbbbj. Give prob of picking 2 j.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose -2*o + 4*n + 8 = k, 4*o - n - 27 = o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:24 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 38 = -41. Suppose -8 = -3*b - 2. Suppose 0*g + b*g + 4 = -5*i, 2*i + 32 = j*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**2 - 828*x - 328.\nAnswer: -4*(x + 41)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -15. Let n = -117 + 41. Let o = n - -112. Calculate the greatest common factor of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/7 - 2*b**4\/7 - 22*b**3\/7 + 18*b**2\/7 + 36*b\/7 = 0. What is b?\nAnswer: -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -10 + -52 + 12 + -39.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7)*-2 + (5*sqrt(84) - sqrt(84))\/sqrt(12).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Let m be ((-1)\/g)\/(10\/90). What is the units digit of (-8)\/((-3)\/m)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Let q = -1157\/6 - -193. What is the closest to 1\/4 in -2\/5, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4553 - 4553.05. Let m be (-502)\/1*12\/(-51). Let h = m - 118. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4115092*p - 21091070 wrt p?\nAnswer: -4115092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 - 87 = -9*x. Suppose x = -j + 64. Suppose -5*m - 3*t + 472 = -128, 5*t + 326 = 3*m. What is the highest common factor of m and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 532, 779, 1026?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j*j**(-14\/11))\/j)*j)\/(j**(-8)\/j*j) assuming j is positive.\nAnswer: j**(113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let h = -3.0000001 + t. Round h to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**2*u - 24*f*u - 316*u wrt f?\nAnswer: 6*f*u - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, q: 2, m: 12}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*32*3\/6. Let i be (217\/93)\/(3\/((-18)\/c)). Is i <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (268 + 6*o - 268)*(3 - o**2 - 3)*(-27 + 27 + 66*o) in the form s*o + g*o**2 + p + q*o**3 + k*o**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + g**2 - g - 1. Let h be b(-1). Suppose h*f = s + 50, -f + s = 2*s - 16. Calculate the remainder when 2\/6 - 59\/(-3) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.063 millilitres to litres.\nAnswer: 0.083063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 908 - 634. What are the prime factors of q?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 31525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 209, 265, -0.5 in ascending order.\nAnswer: -0.5, -1\/5, 209, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72534 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10117 is divided by 1011.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (315\/30)\/(3\/4). Solve 10*g - j*g + 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h + 102 + 187 = -9*x - 18*x + 28*x, -4*h + 16 = x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 342858*a - 12. Let n(q) = 2*q**3 - 6*q**2 - 4*q - 2. Let m be n(4). Let s be c(m). Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:35 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2509, 2503, 2497, 2491, 2485, 2479?\n\"Answer: -6*y + 2515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 681 = 73. Suppose -q = -3*v + 142. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462104 and 3232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(-12))\/((-38)\/423928) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 3, 4 in increasing order.\nAnswer: 3, 4, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*t + 6*t = -10, 2*t + 10 = -2*m. Is 1*(4 - -1819) + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614579 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 23 + 32 = 0. Find i such that 15\/2*i**x + 5*i**4 + 0 + 5*i**2 + 5\/4*i**5 + 5\/4*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.72333l?\nAnswer: 8723.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 14*w**2 + 6*w + 79. What is k(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -55. Let v(q) = 64 - 22 - o*q - 42. Let y(j) = 44*j. What is y(v(k))?\nAnswer: -220*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (26 - 11) - (25 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**2 + k**2)*(-8173 + 9015 - 9708 - 9887).\nAnswer: 18753*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let l(p) be the third derivative of p**6\/90 + p**5\/60 - 17*p**3\/3 - 34*p**2. Let m(v) be the first derivative of l(v). Give m(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 7*t - 4*t**2 + t**2 - 283*t**3 + t**2 - 14*t.\nAnswer: -283*t**3 - 2*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 24*i**3 - 41*i**2 + 14*i + 9. Let h(q) = -6*q**3 + 10*q**2 - 3*q - 2. Determine -9*h(f) - 2*o(f).\nAnswer: 6*f**3 - 8*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -696.\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179448 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 4365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170180?\nAnswer: 2, 5, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -43, -56, -69, -82?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1909 - 1881. Solve -8*z + z = l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -13. Solve -x - 1 - t = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 31619236\nAnswer: 31619236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.031868728318282 and 0.4.\nAnswer: 0.368131271681718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 45. What is the smallest common multiple of 4\/6 - 84\/(-9) and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 plus -97?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:06 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 238 - 38\/7*t**7 + 1\/6*t**6 + 7*t**2 - 2\/3*t**3 + 0*t**5 + 0*t**4 + 0*t. Find the third derivative of q(f) wrt f.\nAnswer: -4560*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*j + 48877209 = 127872 - 311703. Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/1 - 2)*25\/(-90) and -37 + 32 - 421\/(-84).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 32*o - 32. Determine u(-2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 4*n - 19. Let t be p(-7). Let d(r) = t - 11*r + 3*r**2 - 6*r**2 + 4*r**2 + 15*r. Determine d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-114)\/5)\/((-84)\/(-630)). Let j = 173 + w. Let f = -6 + -1. Sort 0, j, f in decreasing order.\nAnswer: j, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 569 = 644 + 933 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:50 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11646653 (base 7) to base 13.\nAnswer: -2ab9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-5 + sqrt(242)*-2 - (-1 + sqrt(242) + 0)) + sqrt(242)*-2*-2 + -1*(sqrt(242) + -1))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 10:09 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137472138 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236.691 + -237. Let t = g - -0.009. What is the fourth biggest value in t, 1, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27141988 + -4?\nAnswer: -2714198c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**7\/280 - h**4\/12 + h**3 - 3. Let f(o) be the third derivative of b(o). Differentiate f(d) with respect to d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, 0, -3, 1 in descending order.\nAnswer: 49, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 4*y + 3. Let j be i(-3). Let v be j\/4 - (-2)\/4. Let z be -1 + (1 - 1) - -4. Solve -z*x = -v*h - 5 - 5, 2*x = 4*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 0 + 0)*(5*s - 2*s + 10*s + (0 - 5 + 4)*(s - s + s) + (7*s - 14*s - 6*s)*(2 - 1 + 0) - 8*s + 2*s - 1 + 8*s).\nAnswer: -5*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025834 to 7 decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -224?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -5, -0.7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 3*q + 19*q)*(-1 + 2 - 3) in the form z*q + w and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - b - 1. Let r(d) = -4*d**2 + 11*d + 12. Let k(l) = -r(l) - 5*s(l). What is the hundreds digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -24, -36, -48, -60, -72?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 13 + s**2 + 0*s**2 - 13*s + 10*s + 12*s. Suppose 0*j = -5*j + 35. What is o(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -137, -0.057, 5\/2 in ascending order.\nAnswer: -137, -0.057, 5\/3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*q + 10, 5*l - 9 = 4*q + 3. Solve l*d - 3 = 7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 18*w - 34. Let q be 1\/(84\/(-80) + (-1 - -2)). Let o be z(q). Suppose 0 = 4*n - 3*a - 32 - 10, n = -5*a - 1. Solve -3*m + o*m + n = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256999 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 5*k = 194, 350 = 5*i - 3*k. Let l = i + -70. Let r(m) = m**3 + 2 - 10 - 2*m**2 - 4*m**2 - 2*m**2 + l*m. Give r(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009187 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2433 + 11777 = 5*l, -5*i + 9350 = 5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644\/(-2912)*-13*(-1 - -25)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80670770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1 + 10 + 2*f - 2 + 15*f**2. Let b(l) = 7*l**2 + l + 4. Let t(p) = 9*b(p) - 4*c(p). What is t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -211, -221, -227, -223, -203, -161, -91?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -23. Suppose i = 3*i + 4*r - 16, r + 29 = 5*i. Calculate the smallest common multiple of i and (-71)\/h - 7\/(-56).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 21 + -36 + -14 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 8}. What is prob of sequence xoxx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 + (2 - (137 + 33))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5880 - 5947. Which is smaller: -19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*g - 1706, l - 28 = -33. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 352*o - 30250. Determine s(203).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 6*x**4 + 3*x**4)*(x + x - x) - 244*x**4 - 4*x**5 + 244*x**4 + 4*x**2 - 4*x**2 + 2*x**5 - 2*x**5 + 2*x**5 - x**5.\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-320)\/96*8\/40. Let v = 0.1 - -0.1. Which is the closest to 3.7? (a) v (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 plus 112.224?\nAnswer: 1191.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 2*b**2 + b - 3. Let u be t(3). Let n be 3\/(3 - u\/(-15)). Let y = 11 - 7. Solve n = 5*z, -y*d - 12 = 2*z + 2*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -43136\nAnswer: 43136.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 divided by 673?\nAnswer: -167\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 12385575?\nAnswer: 12385571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.845 - 18. What is h rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.0043.\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/120 + m**5\/20 - m**4\/24 + m**3\/6 + 3*m**2. Let j be i(-3). Suppose -j*c = -2 - 14. Is 3 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 - 4. Which is the closest to 1? (a) k (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 15, l: 4}. Give prob of picking 2 h.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 + f**2 - f - 1. Let x be k(-1). Suppose -5*h + 30 = 2*s - 5*s, -5*h + 35 = -4*s. Sort x, h, -4 in descending order.\nAnswer: x, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1086*o**5 + 15*o**2 - 7 wrt o.\nAnswer: -65160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 259, 1, 0, 32.\nAnswer: 0, 1, 32, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b*i**3*s - 6*b*i**2*s + 2*b*i*s - 23*b*s + 2*b - 13*i**2*s + 3*i*s wrt i.\nAnswer: 24*b*i*s - 12*b*s - 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/74, -1, -0.5.\nAnswer: -1, -0.5, -1\/74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/6)\/(12\/(-9)). Let z = -2982 - -59627\/20. Let w = a - z. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 282*z + 99*z - 36*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (82\/(-10))\/((-34)\/510). Find the second derivative of w*u**2 - 37 + 16*u**4 - 61*u**2 - u - 59 - 66*u**2 - 2 wrt u.\nAnswer: 192*u**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-3)\/(-2)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*((-640)\/90)\/(-16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 3 + 3 + 10 - 10 + 8*g + (0 - 6 + 4)*(2*g - 3 + 3) + 0 - g + 3*g + 1 + 0 + 0 + g + 2 + 4*g - 2 in the form b + z*g and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*k - 5, 5*x - 3*k - 39 = -30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32320 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:00 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -203?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:16 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102506?\nAnswer: 2, 107, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288 * 6.5228.\nAnswer: 1878.5664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 253100816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, d: 3}. What is prob of sequence dd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 30.327\nAnswer: 0.60654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 + (-4)\/(-60). Factor b*x + 2\/5*x**5 + 4\/5*x**2 - 2\/5 - 4\/5*x**3 - 2\/5*x**4.\nAnswer: 2*(x - 1)**3*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(560\/(-147))*(-8)\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:23 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12755\/2 - 6384. Let y(n) = n**3 + 10*n**2 - 11*n + 2. Let l be y(-11). Let j be 15\/(-10)*l*-1. What is the third smallest value in t, 4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 571880303 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*y**3 - 43*y**3 + 197*y**3.\nAnswer: 619*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.53428 litres to millilitres.\nAnswer: 9534.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 596285933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25.66 in 1, 0.4, -6\/53?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 1.24. Let p = 0.5 + -1.8. Let z = t + p. What is z rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1516, 3075, 4634?\n\"Answer: 1559*x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10239, -10236, -10229, -10218, -10203, -10184?\nAnswer: -10161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 268 = 0. Let n = i - 47. Let y = -4 + n. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(27) - sqrt(108)\/sqrt(64))\/((-2*-3*sqrt(324) - sqrt(324)) + sqrt(324)).\nAnswer: 5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.867951151 to 3 decimal places.\nAnswer: 0.868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11220041001211 - 2?\nAnswer: 11220041001204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 797788961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgg when three letters picked without replacement from {c: 1, d: 2, a: 1, g: 3, m: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4 - 4 + 2*i. Let n(q) = -2*q + 4. Let b(y) = -3*y + 5. Let r(o) = 4*b(o) - 5*n(o). What is p(r(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/29)*q*q*q**(10\/7)*q*q)**(-31) assuming q is positive.\nAnswer: q**(-34596\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24813 - 0.24769089. Round r to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 15*q**2 - 136)*((2 - 2 + 1)*(-2*q**2 + 3*q**2 + 0*q**2) - q**2 + q**2 - 3*q**2).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.15 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22499?\nAnswer: 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*3\/(-42))\/((-10)\/(-70))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(6 + 36 - 27 - 33*x) to k + z*x and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -109, -884, -2999, -7126, -13937, -24104?\n\"Answer: -112*x**3 + 2*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290422560*w**4 - 12*w**2 - 2148732.\nAnswer: -6970141440*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 3*l**3 - 6*l**3 + (-2 + 2 - 8)*(3*l**3 + 3*l**3 - 4*l**3).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1, i: 1}. What is prob of sequence nni?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:12 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 518*s - 83 - 559*s - 43. Is f(-7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/28 - (-1)\/4 and 300\/400*33\/(-88)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241\/(16388\/(-952))*(-2)\/364?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.001 - 3.001. Let z = 2.5 + -0.5. What is the second smallest value in z, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18609243 and 36?\nAnswer: 223310916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62537 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 11*q**2 + 14*q - 18. Let o be u(12). Let j(f) = -f**3 - 6*f + 5*f + 2 + 7*f**2 - 5*f. Give j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let r(f) be the second derivative of f**5\/40 + f**4\/12 - 10*f**3\/3 - 15*f. Let p(d) be the second derivative of r(d). What is p(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130968, -125132, -119296, -113460, -107624?\n\"Answer: 5836*q - 136804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 13, -0.2, 7 in decreasing order.\nAnswer: 13, 7, 4, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(-1)*87196\/2. Suppose -3*i + c = -y, 0 = -5*i - 0*i - c + 36321. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 38*h**3 + 727*h - 6*h**2 - 727*h + 2*h**3.\nAnswer: 40*h**3 - 6*h**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 50*m**2 - 4*m - 204. Calculate l(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p + 2 - 38*p + 17*p + 139*p**2.\nAnswer: 139*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 985866025*h - 119807722?\nAnswer: 985866025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3787.713 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23723952?\nAnswer: 2, 3, 7, 70607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3457\/195 + 4\/65. Let q = -271\/15 - o. Let k = 1 - 0.7. What is the closest to -0.1 in k, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 65889663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + (1 - 9))\/(-9). Put 2\/5, d, 69 in ascending order.\nAnswer: d, 2\/5, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-410)\/3)\/((-2)\/(-12)). Suppose -6*i = i - 8519. Let b = i + a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 394 + 394)*(-4 + 4 + 2) - y**2 - 4*y**2 + 3*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266099?\nAnswer: 11, 206009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7 - r + 0 - 16 + 46 - 16. Let o = -3 + 0. Let p be h(o). Solve 5*q + 4*f + 24 - p = 0, -3*q - 8 = 2*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38120 (base 13) to base 14\nAnswer: -299b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 + 6*v**3 - 6*v**2 + 6*v - 21. Let n(q) = 3*q**4 - 11*q**3 + 11*q**2 - 11*q + 41. Let o(a) = 6*n(a) + 11*z(a). Differentiate o(c) wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 327 (c) 4\/5 (d) -9 (e) 1\/16 (f) -2 (g) -1.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 470393686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*k + 98 - 36, 2*k + 70 = -3*k. Solve -2\/3 - 2*m**3 - 1\/6*m**2 + 5\/6*m**s + 2*m = 0 for m.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1622*m**2 + 4357*m + 1530. Determine b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/63 - 211\/1071. What is the nearest to 0.1 in 8, w, 0.2, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2 = 5*q, -5*t + 0*q = -4*q + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 415271020 to the power of 1\/3, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 4. Let s(y) = 2*y + 7 - 9 - 3*y. Give -5*s(m) - 3*x(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p - 168*p - 195*p + 3289 = -2151 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137997?\nAnswer: 3, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + -27 + (24 - (-31 + 25)) + -20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(4\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 633555942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 7*o**2 - 5*o + 8. Let i be 2\/5 + (-64)\/10. What is the lowest common multiple of 4*(-10)\/(-8) - 4 and v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 9654 + 9654.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14610*h**4 - 47*h**3 - 19*h**2 + 105689913 wrt h.\nAnswer: 58440*h**3 - 141*h**2 - 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 170*s + 22095. Give p(-130).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 34916 = -119515. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -2*u**6\/3 + 8*u**5\/5 + u**4 - 8*u**3\/3 + 14. Solve k(o) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.2 - -1.563815?\nAnswer: -6.636185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let c(a) = -3*a**2 + 2*a + 2. Let o(m) = 8 + 4*m - 1 - m - 5*m**2 + 2*m. Let y(p) = 5*c(p) - 2*o(p). Give y(n(b)).\nAnswer: -5*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:56 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 1:49 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -15347788 smaller than -107434506\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1555+-2.08\nAnswer: -1557.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7) - 96*(-18)\/(-6048).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 0*d**2 + 11*d**2 + 10*d**2 + 2*d**2 - 20*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1134634 (base 7) to base 4.\nAnswer: -202333312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971251239?\nAnswer: 3, 7, 2027, 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4474 (base 9) to base 2.\nAnswer: -110011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - ((-86 - -1) + 30) - 43.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8884 - -44422\/5. Which is the third smallest value? (a) z (b) 5 (c) 2 (d) -54 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462650568 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*4*-1. Let k be (-63)\/t*(-2)\/(-3). Suppose -4*v = -81 + k. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -330, 0, 17930 in increasing order.\nAnswer: -330, 0, 17930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 2, u: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4)*4\/25. What is the fourth smallest value in 2, l, 0.3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/22 + (-2)\/11. Let w be m\/2*0 + 5. Suppose -14 = -w*c + 111. Solve -v + 6*v - c = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -216 - 11*r**2 + 7*r**2 + 214 + 7*r**4 - 4*r**4 - 106*r**3 in the form b*r + y*r**2 + d + w*r**4 + m*r**3 and give m.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 22167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.075 + 0.175. Which is the nearest to n? (a) 0.4 (b) -2\/49 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 2. Let l = -3 - 4. Let o be m(l). Let w = -2 + o. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and -0.14?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 + 467584662*s - 18219618011471187 = 0. What is s?\nAnswer: 77930777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19961 - 79829\/4. What is q in -k*q**2 + 3 + 0*q + 3\/4*q**4 + 0*q**3 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11118*n**3*t - 63128*n**3 - 2*n*t**2 wrt t?\nAnswer: 11118*n**3 - 4*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -260, -589, -946, -1331, -1744, -2185?\n\"Answer: -14*z**2 - 287*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -103, -170, -257, -370, -515, -698?\nAnswer: -925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from daetdgeaad?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 42 = -33. Let i be (g\/(-6))\/((-6)\/(-20)). Let p(a) = i*a + a - 4*a. Let f(s) = 27*s. Calculate p(f(l)).\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 2. Let q(u) = 4 - 5*u - 9*u**2 + 8*u**2 + 7*u**2. Let m(k) = -2 - k**2 + k + 0 + 1. Give y*q(w) + 4*m(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + (-2 - (-1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249738 and 15171?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1031120221?\nAnswer: 1031120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-2\/13)*(x*x**(-1\/3)\/x*x)**45 assuming x is positive.\nAnswer: x**(392\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3559 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 21 + -73 - -64.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(209)*1 - sqrt(209))*-6*-1)\/(-2*-3*(sqrt(1331) - -2*sqrt(1331)))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 131010120?\nAnswer: 131010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7006 - -10205. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -9, 3.\nAnswer: -9, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010111 (base 2) to base 5.\nAnswer: 12134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 29. Suppose g = -m + 4*m. Solve 15 = -m*o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.38 + -25. Let j = m - 1.04. Round j to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 - 18*s + 4. Let q be -12 + -9*(-4)\/6. Is d(q) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 90615042 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6091758 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 15*a + 36 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-132)\/(-24) - 2\/4. Suppose 4*p - p = b*q + 52, 5*p - 98 = -3*q. Is p less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/6, -0.5, 3\/10513, 3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, e: 7, q: 1}. Give prob of sequence edd.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = 3*b. Suppose b*h = h. Suppose 6*k + 56 = 4*p + 2*k, -k - 3 = h. Calculate the lowest common multiple of 6 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651078 is divided by 3597?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64987*d**2 - 3*d - 2218 wrt d.\nAnswer: 129974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9751 - 9747. Let k(h) = 2*h - 15. Let g(j) = 2*j - 14. Determine i*k(b) - 5*g(b).\nAnswer: -2*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -274 and -0.06.\nAnswer: 16.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 21*l**2 - 26*l + 93. Let o be g(13). Which is smaller: o or -1094?\nAnswer: -1094","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1\/((-3)\/(-4)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 5, z: 1, d: 1, n: 4, q: 1}. Give prob of sequence mnm.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) -1\/3 (d) 0.1 (e) -137\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 167. Calculate u(-23).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*a*r*x**3 + a*r + 45979*a + 19*r*x**3 + 113866*r*x wrt a?\nAnswer: -15*r*x**3 + r + 45979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 60 + 69 = 0. Let o be (10\/(-25))\/((-3)\/(-30)). Is 11 a factor of (w + (-51)\/3)\/(o\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 5:34 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*s + 16, c - 25*s = -22*s for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 26*c**2 - 9*c - 16. Let x be 2\/(100\/(-15) - -6). What is the remainder when u(x) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 2557.8\nAnswer: -15346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*r**2 + 123489*r + 179925 wrt r.\nAnswer: -80*r + 123489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253502421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 35 = -15*l. Which is bigger: l or 8\/585?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -21\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**7\/42 + 3*g**6\/8 - 3*g**5 - g**2 + 90. Suppose a(p) = 0. Calculate p.\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, c: 16}. Give prob of picking 3 f.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7947, -8146, -8475, -8934, -9523?\n\"Answer: -65*r**2 - 4*r - 7878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.44363 + -0.5177. Round v to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1595, 1281, 397, -1351, -4257, -8615, -14719, -22863?\n\"Answer: -49*v**3 + 9*v**2 + 2*v + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(2\/21))*s\/(s\/((s\/s**12)\/s))*(s**1)**(1\/8) assuming s is positive.\nAnswer: s**(-2011\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021132002 (base 4) to base 14.\nAnswer: 7b950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/10)\/((-1)\/(-2)). Let m be 0 - 15\/((-9)\/y). Let a(i) = 2*i**3 - 5*i**2 + 3*i + 5. Is a(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 1 u when three letters picked without replacement from {b: 4, u: 1, f: 6, p: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t = 160*t + 160*t + 3726 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-1*2)\/(sqrt(4) + sqrt(36)*2).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z - 1. Let o(m) = 2*m**2 - 11*m + 1. Let i(p) = -o(p) + 3*w(p). Give i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = -60698 + 60818. Solve -12*f + 17*f - 2*c - 14 = 0, -5*f - c = -a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -223*m + 15605. Let g be q(70). Let i be 2\/9 - 16\/(-90). Sort g, 3, i, 4.\nAnswer: g, i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396*m + 352*m - 759*m + 495 - 120 to the form b*m + z and give z.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = 0. Suppose 2*n + 10 = b, -i - 4 = -5*n - 38. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n**(-3\/2) assuming n is positive.\nAnswer: n**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 104*k**2 + 358*k + 465. What is the ten thousands digit of y(104)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/84*(875\/(-90))\/25*(-6)\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 546, 514, 454, 360, 226?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 55?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 218\nAnswer: 45\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7096*p**2*w**4 + 3*p**2*w**2 - 2*p**2*w - 40*p*w - 7*p + 8*w wrt w.\nAnswer: 85152*p**2*w**2 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99236 divided by -99236?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.359 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 31 = -4*a + 5*q, 4*a - 2*q = 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + 120\/(-36). Let g(z) = -4*z**3 - 5*z**2 + z + 3. Let a(m) = 7*m**3 + 9*m**2 - 2*m - 5. Give b*a(t) - 5*g(t).\nAnswer: -t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16542 - 16487) + 0 + (-1 - -11)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/5 (c) 1\/9 (d) 2992 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -11\/1410978 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0. Let g(i) = -11*i + 1. Let x(u) = -56*u + 6. Let j(a) = a**2 + 14*a - 11. Let c be j(-14). Let y(r) = c*g(r) + 2*x(r). What is y(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) - (sqrt(1200) + sqrt(1200)*1)*1)\/(sqrt(44)\/(2*sqrt(11)*-1)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*u - u**2 + 2*u**2 + 29*u - 2*u**3 - 2*u**2 - 1 in the form n*u**2 + w*u**3 + k*u + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/5 and 45\/2314.\nAnswer: 11570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Let x(l) be the third derivative of 1\/12*l**5 + 0*l**4 + 0*l**3 - 24*l**2 + 0 + 0*l. What is x(m(q))?\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*l**(-6\/5) assuming l is positive.\nAnswer: l**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-819)\/429*-11 - (-2 + 1)*5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 1. Let a(l) = -3*l + 72. Calculate a(n) - k(n).\nAnswer: -n + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 - 353. Suppose y = 124*u - 114*u - 20. Solve -u*v = -2*d - 6, -5*v = 5*d + 51 - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q**(3\/8)\/q))**(2\/123))**(-25))**(-4\/27))**(2\/17) assuming q is positive.\nAnswer: q**(250\/56457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3645 and 3643 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 999561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-702)*(-828)\/10?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 15, -3*z - 3*y + 374 = -1237. Round z to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146211 + -54211. What is x rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*n + 217163, -o + 43435 = -150*n + 152*n. List the prime factors of o.\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176*m - 166*m - 80 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 70 (b) -0.5 (c) 69 (d) 0.2 (e) -1\/3 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 7*f + 5. Let t be y(10). Suppose -3*b = p + 20 - t, 0 = -3*b - 5*p + 107. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3908, 7816, 11724, 15632, 19540?\nAnswer: 23448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 140*s + 40. Let a be q(-12). Let w = 1530 - a. Let x = w - 1547. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(-27)*(a*a*a*a**5*a*a)**(7\/6) assuming a is positive.\nAnswer: a**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 51 - 118)*(3*b**4 - b**4 + 0*b**4) + 5*b**4 - b**4 - 2*b**4.\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39656868978.60073 + -39672562239.6. Let p = 15693107 + o. Let v = 154 + p. Round v to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 17 + 2*j**3 - 21.\nAnswer: 2*j**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 10*c - 50. Let f be o(19). Let v = 336 - f. List the prime factors of v.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.057957944 rounded to four dps?\nAnswer: 1.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.49353489?\nAnswer: 0.148060467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 784329 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1242776285.00000144 - -1242776381. Let w = -96 + h. What is w rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 27126*o**2 - 380397*o - 407520.\nAnswer: 3*(o - 15)*(o + 1)*(o + 9056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 4. Suppose 0 = -5*o + o + 16. Let h be n(o). Let p(c) = -c + 163. Is p(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 5, 232, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3\/7, -5\/57, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 64.03\nAnswer: -6.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3100412 is divided by 2533?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-256) - 10\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -6.1. Let j be (26\/12)\/((-6)\/27). Let x = j + 121\/12. Which is the biggest value? (a) t (b) -2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -68, 1, -2 in increasing order.\nAnswer: -68, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x + j + 89, 4*x - 3*j - 80 = 0. Suppose 4*g - i - x = 0, -5*i + 7 = -4*g + 44. Suppose -70 + 7 = -g*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 48*l**2 + 68*l + 51. What is the thousands digit of g(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, 40, -0.21, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(396)*3 + -1 + sqrt(396) + sqrt(396) + -3 + 3*(sqrt(396) + 4*(sqrt(396) - (sqrt(396) + 2))))**2.\nAnswer: -130640 + 13440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-10)*(0 - 3). Suppose -i = -2*v + 1. Which is smaller: v or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1986905880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-22)\/1980*(-10)\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -11*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (0 - (4 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/5690 and 44\/120375.\nAnswer: 136986750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128753 divided by 29?\nAnswer: 128753\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -18*b + 10. Suppose b = 4*s + 3*d + 2*d, -1 = 5*s - d. Suppose j + s = 6. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 405 + -195. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from lgwvlryg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 417*v + 414.\nAnswer: 3*(v - 138)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + 21 + -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30452.476435 + 30345.93. Let r = -103.5464 - z. Let c = 3 - r. Round c to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z + 1. Suppose 2 = q, 5*p - 2*q - 4 = -4*q. Suppose 0 = -r + 4*r. Suppose -k + p*k = r. What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 120532626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10876*b + 576429. Determine g(-53).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 - -5.22. Let l be 2 + -9*(-2)\/(-10). What is the closest to -2\/7 in c, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 2*k + 8 - 5. Let f be c(-3). Suppose f = 9*g - 3*g - 678. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 255, 123, 73, 147, 387, 835, 1533?\n\"Answer: 7*p**3 - p**2 - 178*p + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**8\/56 - p**4\/12 + 4*p - 4. Let q(j) be the first derivative of m(j). Find the third derivative of q(d) wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -303*t - 3931. What is f(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1571, -143, 11 in decreasing order.\nAnswer: 11, -143, -1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 - 269*d**3 - 71277*d**2\/2 + 145798*d - 146882.\nAnswer: -(d - 2)**2*(d + 271)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 90000 = -7*m. What is m rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57195+-24.62\nAnswer: 57170.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232696 - 101920759\/438. Find the common denominator of -28\/11 and g.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*k - 5*w, -61 = -k - 0*w - 3*w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 461*y**5\/20 - 247*y**2\/2 + 640*y. Differentiate l(v) with respect to v.\nAnswer: 1383*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(128) + 0) + -2)**2.\nAnswer: 288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/39)*h\/h**20 assuming h is positive.\nAnswer: h**(-739\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 3*a**2 - 9*a - 5 = 0. What is a?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*y - 10400 - 32045 = 0, 0 = -5*y - 25. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*-3)\/(((1\/4)\/((-55)\/(-132)))\/(-1))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16860, -16860, -16858, -16854?\nAnswer: -16848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((34\/612)\/((-1)\/2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/3, -1, -0.076, -6\/157?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 12. Suppose 0 = 4*n + 3*s - 7, 3*n - 16 = -5*s + q. List the prime factors of (18\/4 - n)*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320 - 120117123.\nAnswer: -120117443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40981101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n + 3*x - 14 = 0, x = -3*n + 2. Let f be 0 + 5 + (n - 1). What is the third derivative of -9*l**2 - f*l**3 + 3*l**3 + l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + c - 5, 2*o - 4*c = 22. Suppose 0 = -o*k - 1 + 7. Solve k*d = d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 2*x**6\/15 + 7*x**5\/10 + 3*x**4\/2 + 5*x**3\/3 + x**2 + 10*x. Factor j(p).\nAnswer: 2*(p + 1)**3*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182883.\nAnswer: 3, 60961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 - 6*x - 315 = 0.\nAnswer: -15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r**2 - 317 - 15*r**2 + 4*r**2 - 3*r**2 + 4*r**2 in the form x*r + d*r**2 + o and give o.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000036 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 599546960.1 and 177.\nAnswer: 599547137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730 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: Work out 118.802 + 164.\nAnswer: 282.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 1366*x**2 - 25609*x - 1. What is m(18)?\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 59*a = 40*a - 3144 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/5 - 13\/15. What is the smallest value in 1, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -2*k**5\/75 - 7*k**4\/5 - 147*k**3\/5 + 2330*k**2. Factor x(o).\nAnswer: -2*(2*o + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 16*j\/7 + 30\/7.\nAnswer: 2*(j + 3)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let x(o) = 231*o - 115*o - 120*o. What is n(x(f))?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**2 + 640*b - 25600 = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5006 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -883 + 19427\/22. Let h(b) be the first derivative of a*b**4 - 4 + 0*b - 1\/11*b**2 + 0*b**3. Factor h(d).\nAnswer: 2*d*(d - 1)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = -25. Suppose 3*v - 5*g + 0*g + 1 = 0, -5*v + 2*g = q. Let k(l) = -82*l - 3. Is k(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z\/(z\/z**11))*z)\/z)\/z**(3\/8)*(z**(-2)\/z)**(-9\/8) assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**2 + 30*o - 5*o**2 + 5*o + 27*o to the form k + x*o**2 + i*o and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-2)*((-732)\/(-671))\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.86 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 422822083 and 0.9.\nAnswer: 422822083.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.1 - -3.4. Let y = 4 + s. Which is the nearest to 2? (a) y (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f + 44 = 0. Suppose -4 + f = 4*d. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -52*x - 484. Calculate i(-13).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - 130*15\/18. Let x = 10 - l. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*0.0394\nAnswer: -0.000788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4610 smaller than 633.97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14226272\/167 - 85188. Let j = 195818\/4175 + q. Let r = j - 20789\/400. Calculate the common denominator of r and 107\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d - 48. Let p be m(5). Suppose -p*c = -c - 7472. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k + 4. Let t = -41677 - -41675. Suppose -20 = -2*q - 2*q. Let l(y) = -11*y + 9. What is q*u(z) + t*l(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-80)*-130*2\/312?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98858.1329 rounded to the nearest 1000?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1532798290 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 96*z**2 - 293*z + 2. What is h(-99)?\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20*z**3 + 4*z**2 - 15*z + 1. Let q be c(4). Let t = 2330 + q. List the prime factors of t.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12290328 >= 12290327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjjw when four letters picked without replacement from {j: 2, q: 4, w: 4, a: 1, t: 1, g: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 979751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and -0.048524.\nAnswer: -0.873432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 20*i**2 + 16. Let w be d(-20). Let l(r) = -r**3 + 20*r**2 - 40*r + 5. Is l(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 19 = -5*o. Suppose 5*w = a + 2*a - 5055, 0 = -o*w - 9. Round a to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -263387 + 263387. Factor -2\/9*x**3 + 32\/9 + 8\/3*x + q*x**2.\nAnswer: -2*(x - 4)*(x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16206382, -16206383, -16206388, -16206397?\nAnswer: -16206410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3953*q**2 - 24*q + 12. Let y(f) = 39523*f**2 + 242*f - 121. Determine 121*k(w) + 12*y(w).\nAnswer: -4037*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 45*b + 2. Calculate h(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26\/115 - -4\/23. Let c be (-3)\/(-18)*(-36)\/8. What is the second biggest value in c, d, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-312)\/(-91) + -3 - (0 - (-17436)\/308). Which is smaller: x or -55?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - i - 9085 = 0, -13*m + 8*m - 4*i = -45452. Is m a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 642.0936 milligrams?\nAnswer: 0.0000006420936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i + 2. Let o(n) = -3*n + 1. Let j be o(i). Differentiate -j + 2*h**3 + 6 - 3 with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401370965 divided by -1151\nAnswer: 348715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 30*h**2 - 6*h - 123. Let f be d(-6). Suppose 0 = -3*r - 3*s + f, 3*s + 1631 = 10*r - 5*r. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.163 + -1.837. Which is the closest to 3? (a) 4 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2272875079 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738791287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27027\/(-2002))\/((-2)\/4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 11 + 19. Let y = -3 - n. Find the second derivative of y*p**3 - 13 + 2*p + 13 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.267808 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 d when four letters picked without replacement from tdgdggqqtqgtdttqt?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1384 - -6.9\nAnswer: -1377.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8171*o - 4. Let g be n(8). Let t = g - 121364. Round t to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 5. Let h be f(5). Suppose h*o - o - 16 = -4*n, 0 = 5*o. Suppose n*q = 3*q + 259. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:27 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 - 324*p + 41. What is the remainder when 529 is divided by x(-21)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 356)\/(-3) + -3. Let v be (0 - 106\/(-1)) + f\/20. Calculate the highest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w + 2*w**3 - 4*w**3 - 3*w**3 + 7*w**2 - 4*w**3. Let q(n) = 4*n**3 - 3*n**2 + 4*n. Let g = 135 + -59. Let v = 90 - g. Determine v*q(y) + 6*m(y).\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**2 + 5*v + 9. What are the prime factors of y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(5\/10 - 1). List the prime factors of (-15)\/12*24\/c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 439?\nAnswer: 3\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -26. Which is smaller: x or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2149 + 729. Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -25*(-9316)\/85 + 3*1.\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/48 - 9 - 5\/2*8\/40?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/7, 0, 0.39, 28?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 1:35 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 30*t + 28. Calculate w(12).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-1215)*4\/((-24)\/(-441)) + 8?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w + 5. Let z(j) = -3*j + 1. Let f be 1 + 1154\/(-50) + (2548\/(-650) - -4). What is f*z(s) + 4*c(s)?\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000107121 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141744, 566982, 1275712, 2267934?\nAnswer: 3543648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1344 and 40824.\nAnswer: 326592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15559 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/sqrt(2) + -2*1*sqrt(25))\/(1*sqrt(2205)) + 3.\nAnswer: sqrt(5)\/21 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23581 (base 10) to base 15.\nAnswer: -6ec1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-5 - (-3)\/1). Let y(b) = 6*b - 2. Determine y(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4332*j - 8589*j + 4479*j + j**2 as g*j**2 + l + y*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m**(-2\/3))**(7\/12))**19 assuming m is positive.\nAnswer: m**(-665\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(7\/4))\/(u*u**(9\/4)))\/(((u*u*(u\/(u\/(u*u**(-5))))\/u*u)\/u*u)\/u)**(-24))**(-39) assuming u is positive.\nAnswer: u**(5655\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260, -1266, -1274, -1284, -1296, -1310, -1326?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -57 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ddggf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 c when three letters picked without replacement from {c: 2, l: 1, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) - 75\/(-20). Let s(n) = n**2 - 3*n - 1. Give s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 51049\nAnswer: -56153.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11.32 (b) 2\/11 (c) 0.2 (d) -7 (e) 1\/2 (f) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229.8 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -37*5.598\nAnswer: -207.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d. Let y(i) = -802*i**2. Give y(l(c)).\nAnswer: -12832*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1034 and 1049.4.\nAnswer: 108.50796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w - 1. Suppose 1 + 1 = 2*i. Determine r(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -448715\/27 + 16619. Which is the biggest value? (a) x (b) 5 (c) 1\/3 (d) -5 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-8)\/(-48)) - -6. Solve z = 2*s - 15 + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.3. Let i be 2 + 1 - (-57)\/(-18). Let t be 18\/(-45)*(-10)\/(-6). Which is the closest to t? (a) 1\/3 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*u - 45 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*3*2. Let i be (-44)\/33*9\/(-6). Let h(w) = 2*w**3 - 6*w**i - 399 - w**3 + 399. What is h(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -12*v**3 + v - 3. What is the remainder when z(-2) is divided by (-3 + 2)\/(1\/(-23))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((12 - -9) + -6 + -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -9, -2, 48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -12*u - 47. Solve 0 = 2*y + t - u, 3*y - 2*t - 3*t = 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s + 19\/60*s**5 + 1\/24*s**8 + 0 + 13*s**2 + 0*s**3 + 0*s**7 + 0*s**4 + 0*s**6. Find the third derivative of i(p) wrt p.\nAnswer: 840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*w - 112*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(475)*-3 + -5)*-3 - ((sqrt(475) - -1*sqrt(475))*-1 - (sqrt(475) - (-2 + sqrt(475) + -1))))*-5)**2.\nAnswer: 445500*sqrt(19) + 13004775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x - 1 + 57 = -10*x. Let l(r) be the third derivative of 18*r**2 + 0*r + 5\/2*r**3 + 0 + 5\/12*r**x. Differentiate l(k) wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 + -90. Does 18 divide t - ((-278)\/2 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/36)\/(-5))\/(16\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -1540, -4579, -10498, -20257, -34816, -55135?\nAnswer: -82174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, 4, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.981 - -0.019. Which is the closest to 0.1? (a) l (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546 by -14.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:34 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - -28. Let d = 78.00066 - l. What is d rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0.7, 3\/4, -1\/7 in descending order.\nAnswer: 4, 3\/4, 0.7, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:00 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 7*k**2 - 8*k + 19. Let p(i) = -i**3 - 5*i**2 - 5*i + 13. Let l(c) = -7*p(c) + 5*q(c). What is the tens digit of l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 4*c + 429, 752 = -5*y - 1234*c + 1241*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 13*t**2 - 104*t - 566. Is b(-73) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - 2*l - 4. Let v be g(4). Calculate the remainder when 52 + (v + -6)\/(-1) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * -6.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u - 3*u**2 - 7*u - 2*u**3)*(1 + 0 + 1) + 7*u**2 + 9*u**3 - 7*u**2 as n*u + c + k*u**2 + s*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 4*g, -6*q + 3*q - 6 = 0. Suppose -g*f + 36 = 3*f. Suppose -4*p + f*a + 364 = 3*a, -4*p - 2*a = -364. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.980242 days to seconds.\nAnswer: 516692.9088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4891 + 18191. Suppose 37*l + l = q. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 93*j**2 + 73*j + 148. What is the least common multiple of g(-9) and 40?\nAnswer: 35120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**3 + 12*i**2 - 12*i. Suppose -500*t + 2855 + 3257 = 112. Let w(r) = r**2 - r. Calculate t*w(u) - j(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569*j + 4*m - 5941 = -572*j, 2*m = 4*j - 7958. What are the prime factors of j?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2851 = -2*v - 4*d - 793, 0 = -v - 5*d + 1014. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose -2 = -o - z*o. Let f(m) = m**2 - 4*m - 3. Let h be f(5). Solve 2*d - 4*x = -h, 3*d + 1 + o = 5*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4515*r**3*z + 13*r**2*z + 6*r**2 + 2*z + 2 wrt r.\nAnswer: 27090*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 0*j**2 - 1\/105*j**6 - 1\/35*j**5 - 7 - 2*j + 1\/42*j**4 + 2\/21*j**3. Let g(n) be the first derivative of h(n). Factor g(q).\nAnswer: -2*q*(q - 1)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4588 and (-18)\/4*3*(-8)\/18.\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let y be b(2). Suppose 2*k = y*n + 158, -3*n - 306 = k - 5*k. Factor -29 + 19 + 95*l + k*l**3 - l + l - 160*l**2.\nAnswer: 5*(l - 1)**2*(15*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115314 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8))**16\/((d\/(d*d*d*d*d**(14\/5)*d))\/d*d**(-1\/3)) assuming d is positive.\nAnswer: d**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*j - 26*j - 11*j.\nAnswer: -42*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -10. Let x(k) = 2*k**3 + 3*k**2 + 4*k + 1. Let z be x(p). Sort z, 1, 3, -4 in descending order.\nAnswer: 3, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70272 = 935*q + 674*q - 511*q for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*f + 22, -l - 4*f = -4 + 18. Solve -4 = 6*h - l*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 - 20 = 0, 5*i + 5*r - 25 = 0. Let m(w) = 3*w**2 - 9*w + w**2 - 2*w**2. What is the tens digit of m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 135 = 5*l, 0 = -5*x + 2*l + 128. Suppose x = -d + 41. Calculate the remainder when 58 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671265 = 3*x + 1671364 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 8:14 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10115 - 10111. Solve 0 = -f*b - 268 + 288 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.01865257 * 1.\nAnswer: -2.01865257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -420 - 6?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21200 + -220201?\nAnswer: -1012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84.4 + 84.8. What is the third biggest value in -6, -2\/3, d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/((10 - -18)\/14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -10.6. What is the nearest to 1 in 1, -2, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-20)\/5))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/7 + 4565\/(-275))*30\/3?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 338*a**2 - 107469*a + 325422.\nAnswer: (a - 537)*(a - 3)*(a + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -22*x - 39. Let g(i) = 23*i + 40. Let q(y) = -6*g(y) - 7*t(y). Is q(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = u - 13245, -o + 4415 = -2*u. Let x = o - 30. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1501 divided by 1\nAnswer: -1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 217 + 16*d**3 + 110 - 18*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/93319?\nAnswer: -2\/93319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 1 (b) 0.3 (c) 5 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45095493.\nAnswer: 3, 19, 29, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -902 in -2, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.2 - 5. Let w be 8\/(-44) + 12\/33. What is the second smallest value in j, w, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268863 and 27841038?\nAnswer: 5487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:06 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-24) - (-1)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 263, 182, 69, -88, -301, -582?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29072 and 32706?\nAnswer: 261648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/16056 and -161\/360.\nAnswer: 80280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-8))\/((-130)\/((-42640)\/(-19557)))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - r - 925 = 0, -p - 3*r = 2*r - 287. Suppose p + 193 = 4*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let d(n) be the second derivative of n + 1\/54*n**4 + 0 + 0*n**2 + 0*n**p. Factor d(t).\nAnswer: 2*t**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + -0.4. Let t = 1 + g. Let z be (3\/(-2) + 2)*1. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2*r**3\/21 - 274*r**2\/7 + 792. Factor f(g).\nAnswer: -2*g*(g + 274)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100200001332103 - 3?\nAnswer: -100200001332112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17290*0.1\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.6 (b) 5 (c) 270980\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -84. What is the second derivative of 2*l - f*l**2 + 2526 - 2526 - 11*l wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 8*d**2 - 47*d + 53. Let r be s(2). What is the closest to -1\/4 in 2\/65, r, 7\/2, 0.4?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 273.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -197, -229, -283, -359?\n\"Answer: -11*l**2 + l - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862039172?\nAnswer: 2, 23, 37, 253243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 + 4. Let a be v(-8). Let q = a - 1. Let f(j) = -j - 4. Calculate f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2368, 9345, 20966, 37225, 58116, 83633?\nAnswer: 113770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/81 and 97\/1500660.\nAnswer: 4501980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(3\/5))\/m)\/(m**(-3\/11)*m))\/((m**2*m)\/(m\/(m*m**(-4)\/m))) assuming m is positive.\nAnswer: m**(37\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/1507 and -52\/875.\nAnswer: 1318625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187181319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/20)\/(30\/(7200\/(-12))*-12)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023697 rounded to 7 decimal places?\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y + 0 - 4*y + 0*y + 2*y + (-1 - 1 + 4)*(-y - 2*y + y) + 2 - 2 - y + 2*y + 3 - 3 - 3*y + 2*y + 0*y)*(-5*y**2 - 2*y**3 + 5*y**2).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.3283316900612 and 15.\nAnswer: 13.6716683099388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296172 = 137*m - 1877563. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19613, -39333, -59059, -78791?\n\"Answer: -3*t**2 - 19711*t + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -632 (b) -0.45 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -141911?\nAnswer: 296\/141911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 13*c + 502. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728456027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 - 0) - 0) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 divided by 12.\nAnswer: -187\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 104. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 2*k**3\/3 + 16*k**2 - 34*k + 1472. Factor z(i).\nAnswer: 2*(i - 1)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(13 + 10 - 16)*(-83 + 2*i + 153 - 81).\nAnswer: 14*i - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/6)\/((-2)\/(-24)). Suppose -i - i = -q + w, -20 = -4*q + 4*i. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**3*n**2*o**2 + k**3*n**2 - 2*k**3*n*o**2 - 6*k**2*o - o**2 wrt o?\nAnswer: -10*k**3*n**2 - 4*k**3*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*s - 445, 4*s + 897 = -0*o + 5*o. Let h = -49 - s. What are the prime factors of h?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178299604 divided by 2\nAnswer: -89149802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 3070322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 11:12 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 0 - 8*i + 6 + 8 - 3. Let n(y) = -4*y + 5. What is -9*n(x) + 4*p(x)?\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/384888 and -91\/13746.\nAnswer: 384888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (17 + -15 + (-4 - (0 - -2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + 168\/(-800). Let m = 1199.9 - 1200. Sort n, 2, m in ascending order.\nAnswer: m, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 3, r: 4, v: 3}. Give prob of sequence vrq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -845, 1563, -30 in descending order.\nAnswer: 1563, -30, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40023.91 days to microseconds.\nAnswer: 3458065824000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/5 - 2*r**3 - 6*r**2\/5 + 2*r + 8\/5 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 8*z**2 - 6. Let l be w(-8). What is the units digit of (l\/2)\/(-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2342200 times 5?\nAnswer: -11711000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3 + 8 + 5 + r**2 - 7 - 5. Give o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.04091 kilograms in tonnes?\nAnswer: 0.09004091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195601 to the power of 1\/2, to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 2 + -2 - 12) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026972 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40027.66 litres to millilitres.\nAnswer: 40027660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + 2*k + 143. Determine f(0).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 850*x + 6. Let p be j(4). Let b = 5491 - p. Suppose 3*d + 274 = 3*n + 1504, 5*d = -2*n + b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 341\/117 + (-12)\/54. Let n = t + -485\/156. Is 1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + (-7 - -6)\/(1\/5). Which is the closest to 1? (a) 0.3 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*r**3 + 449*k**2 - 6*k*r**4 - 3*k - 113*r with respect to r.\nAnswer: -6*k**2*r**2 - 24*k*r**3 - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*(18 + 2295\/(-136))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*o**3 - 309 + 615\/2*o - 303\/4*o**2.\nAnswer: -3*(o - 2)**2*(o + 206)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*y + 4*y. What is the remainder when y is divided by 2 + -1 + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3842 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2900 + 1012 = 0. What are the prime factors of f?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*m + 111*m - 444*m + 192*m.\nAnswer: -474*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)*z**6\/z)**(-46)*(z**8*z**(-4\/9)\/z*z)\/(z**(1\/4)*z\/(z*z\/(z*z**(-2\/3))*z)) assuming z is positive.\nAnswer: z**(5291\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -421 - -423. Suppose 83*v - 84*v - u*y + 8 = 0, -5*y = -5*v + 10. Which is the second smallest value? (a) -4 (b) -1\/3 (c) -3\/5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33768*k - 33768*k - k**2 + 97*k**3 - 391*k**3 as p*k**3 + w + c*k**2 + s*k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14848 and 1921192.\nAnswer: 122956288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = -21. Calculate the lowest common multiple of u and -2 + -2 + (10 - 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 12. Let k be h(9). Let p = 7 - 9. Sort k, p, -5 in decreasing order.\nAnswer: k, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457646019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65159.429 rounded to the nearest one hundred?\nAnswer: 65200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 1)*(0 + 0 - l**3) + 13*l**3 + 8*l**3 - 9*l**3 + 0*l**3 - l**3 + 0*l**3 in the form o*l**2 + z*l + x + k*l**3 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 73, -3, -1, -2\/7, -2, -160, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 2 + -5 + 1. Suppose 37 = 5*z + 4*t, p*z + 2*t - 17 = 9. Suppose -z*h + 150 + 30 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvvz when four letters picked without replacement from {z: 7, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**2 + 3*r + 4. Determine l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1\/5, 5, 2, -3, -3.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m - 14*m**3 + 17*m**3 + 11*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 58c?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 489902.2.\nAnswer: 34293.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108317797757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 474, 943, 1456, 2025, 2662, 3379, 4188, 5101?\n\"Answer: 2*y**3 + 10*y**2 + 425*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -s = -5*i + 8. Suppose 4*n + 182 = i*a, -2*a = 4*n - 0*n - 198. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -k - 485995, 2*k + 3*k + u + 2430001 = 0. What is k rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 1381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**0*l)*l\/(((l*l**33*l)\/l)\/l)*l\/((l*l*l\/(l*l**6))\/l)*l\/(l**0\/l*l))**(-1\/3) assuming l is positive.\nAnswer: l**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19852961?\nAnswer: 173, 114757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -780 + 1105. Suppose 3*r + 5*a - n = -0*a, -a - 95 = -r. Suppose 4*c = -4*w + r, 0 = -c + 3*w + 15 + 10. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499707 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 12*w**2 - 20*w + 201. What is p(9)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 + 9*f. Let v(u) = -5*u**3 - 10*u. What is -3*i(k) - 2*v(k)?\nAnswer: -2*k**3 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(((-10)\/20)\/(2\/2))\/(-1).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 4. Suppose -5*k + 5 = 0, 2*k - j = -3*l - 2*k. Suppose x + x - 68 = l. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 551*c**2 + 1393*c**2 + 1381*c**2 - 4321*c**2 in the form a*c + r*c**2 + n and give r.\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 9*k - 4. Let u be a(-10). Suppose -u = 4*w - 3*w. Let b = -6 - w. Solve -3 = s - b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i - 35*i**2 + i**3 - 1 + 22*i**2 + 3 + 3*i as m*i + d*i**3 + b*i**2 + y and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -24 + (-1 - (-1 + -3 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 13*j**2 + 0*j**4 - 1\/180*j**6 + 0 + 0*j**3 + 1\/1512*j**8 + 0*j - 1\/135*j**5 + 0*j**7. Factor a(x).\nAnswer: 2*x**2*(x - 2)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532013 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 219 = 5*n - 17 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2002301021 (base 4) to base 6\nAnswer: 15251425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2311*g + 1227131. What is y(531)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 587*j - 5*j**2 - 19*j + 210*j**3 + 773*j + 503*j + 290*j wrt j?\nAnswer: 1260*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - 14*z + 14. What is the smallest common multiple of 30 and m(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q - 0*q + s, 2*q + 3 = 3*s. Suppose -181*v = -189*v + 32. Sort q, -1, 11, v in decreasing order.\nAnswer: 11, v, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313516230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13949*v + 3124 + 5386 + 13951*v.\nAnswer: 2*v + 8510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:27 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 32 = -5*t + 29, -2*z = 3*t - 5*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 25*x**2 + 65*x - 22. Suppose 114 = m + 136. Let a be n(m). Solve 2*u - 32 + 24 = a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2790 = 5*n - 29244, 0 = 2*v - 6. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 23*a = 0. Solve a*p = -p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*6\/(-10). Let g = 0.27 - -0.03. Let l = 76 - 75.8. What is the third biggest value in l, b, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97404 = 2*y - l, 0 = -0*y + y + l + 48696. Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Suppose h*l - 3 - 177 = 0. What is the common denominator of l\/(-8)*40\/(-66) and 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:44 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252022054 (base 6) in base 3?\nAnswer: 100010200012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u\/u**4*u)\/u**(-5\/2))\/(u*u**(1\/4))**(-9) assuming u is positive.\nAnswer: u**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -808405 - 0.33566.\nAnswer: -808405.33566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3107298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/10 and -43\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*-8747*342\/4788*7\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 0 + 3*m**3 - m**3 - 4*m**3 + 2 to the form x + g*m + l*m**2 + o*m**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 - 5*n**2 + 2*n - 13. Let x(c) = -3*c**3 + 2*c**2 - c + 6. Let y(o) = 2*g(o) + 5*x(o). Let t(w) = -7*w + 35. Let v be t(5). Calculate y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let o be -4 + (-4)\/(3 + -1). Let t be ((-8)\/o)\/(3\/(-9)). Which is the closest to k? (a) t (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 + l**2 - 3*l + 1. Let t be d(1). Suppose p - t*p + 218 = 0. What is p rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 15. Let z = 77 - 77. Which is the closest to z? (a) 1 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -0.1. Let u = 5 - 9. Let s = 2\/267 - 271\/534. Sort u, s, m in increasing order.\nAnswer: u, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 20262.\nAnswer: 3\/6754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -134544075 at least -134544078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/8)\/(4\/(-6)). Let t(r) = -r**3 + 4*r**2 - 2*r - 4. Calculate t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-39.6872.\nAnswer: 39.6872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = -13*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5462, -10899, -16300, -21665, -26994, -32287?\nAnswer: -37544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -6 (c) -0.5 (d) 0.2 (e) -4 (f) 994\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18*269\nAnswer: -4842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (224*n + 368*n - 289*n)*(3*n + 2*n - 3*n) - 14*n**2 - 2*n + 2*n to the form q + w*n**2 + a*n and give w.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 10*z**2 - 37*z - 21. Let y be c(13). Factor -3\/4*x + 0*x**2 + 3\/2*x**3 - 3\/4*x**y + 0 + 0*x**4.\nAnswer: -3*x*(x - 1)**2*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 31 = 119 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999808718?\nAnswer: 2, 3, 333301453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*f - 5*v, -2*f + 4*v + 725 = 753 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1087 and 1.2?\nAnswer: 1.3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 0*i**3 - 99*i + 2*i**2 + 193*i + 2 - 151*i**4 - 96*i + 0*i**3 to x*i**3 + f + j*i**4 + h*i + m*i**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 30*r + 2. Let p(o) = 5*o**2 - 30*o + 2. Let d(y) = 3*p(y) - 2*w(y). Let t be d(6). Let n be (20\/80)\/(t\/(-8)). Let l(h) = 4*h. What is l(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0136720277 to four dps.\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(7) - (sqrt(7) + 0)**2) - (-3 + sqrt(7) + 0)**2)*-4.\nAnswer: -48*sqrt(7) + 231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2928 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 864, 4.\nAnswer: 4, 17, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**4 - 32*d**2 + 3 + 6*d**4 - 2 + d + 11*d**4 to the form a*d**4 + r*d**2 + o*d + g*d**3 + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 29887 = 100489. Let t = l - 6485300\/643. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3858224, -7716430, -11574632, -15432830?\nAnswer: -19291024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119605461 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 25 + 7. Suppose -5*a - 20 = 0, 3*q + 4*a = -q - r. Let x(z) be the first derivative of 2*z**3\/3 - 3*z**2\/2 + 3*z + 2. Give x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 2, q: 7, g: 4, y: 3}. What is prob of picking 1 q and 1 z?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x - 24. Let z be w(9). Let l(g) be the third derivative of 0*g + 1\/72*g**4 + 0 - 1\/90*g**5 + 1\/360*g**6 + 0*g**z - 2*g**2. Factor l(o).\nAnswer: o*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16 + -6)\/(2\/14)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -46*v**2 - 906*v + 5660. Let h(g) = 29*g**2 + 604*g - 3773. Let j(b) = -8*h(b) - 5*q(b). Factor j(r).\nAnswer: -2*(r - 6)*(r + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 8056019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -470*d + 11. Let f(w) = 299*w - 7. Let q(m) = -11*f(m) - 7*u(m). Let b(c) be the second derivative of -c**3\/6 - c**2\/2 + c. What is -2*b(i) - 3*q(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/6 + r**3\/6 - 5*r**2\/2 + r + 4. Give a(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1253, -1248, -1241, -1232, -1221?\n\"Answer: x**2 + 2*x - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esrtremtaemssm. Give prob of sequence sr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/5 (b) 11 (c) -1932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*l*m*x**2 + 2*a*l*m*x + 2*a*l*x - 656*a*x + 2*m*x**2 - 80*m - 27514*x**2 wrt x?\nAnswer: -4*a*l*m + 4*m - 55028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418157?\nAnswer: 418157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 176*p**2 + 5*p + 9. Let s be c(-2). Suppose s = 5*q - 157. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 5:44 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14150? (a) 0.4 (b) 0.3 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = 3. Let v = n + 7. Let l = -184 + 192. Calculate the greatest common divisor of l and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2602610.\nAnswer: 1\/2602610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3)\/(8\/12). Suppose 0 = -a*i + 279 - 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 7\/3*n**3 + 4*n**2 - 3 - 22*n. Let l(q) = -9*q - 5. Determine -8*l(b) - 5*p(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*c*o*t - 6*a*c + 16*a*o**3*t + 7*c*o**3 + 2*c*o**2*t - 6*c*o**2 - 2*o**3*t wrt a?\nAnswer: -c*o*t - 6*c + 16*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 4. Determine o(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1573) + sqrt(1573)*-3))**2.\nAnswer: 157300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*n - 6, -674*n = 3*x - 675*n + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 3*a**2 - 2*a**2 + 8*a**2 - 2*a. Let g(p) = 5*p**2 - 3*p. Let r(s) = 2*g(s) - 3*n(s). Let q(o) = -o**2. Calculate q(r(x)).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-100) + 52\/650. Which is the second biggest value? (a) z (b) 16 (c) -4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 46\/5 of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4 - 27*q**3 + 30*q**2 = 0?\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x - 2*f + 12, -2487*x + f - 4 = -2491*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/9, 4, -0.3, 594?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 2*a**2 + 1. Let t be n(-1). Let h be 2*((-9)\/t)\/1. Let y(d) = d**2 + 3*d - 4. Is 14 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429\/(-9)*(3726\/(-253))\/27.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 194299 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slbbbbbbkbbfbbbkobob. Give prob of picking 1 o and 1 s.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30168*a**2 + 212*a**3 - 30168*a**2 + (-2*a**2 + 2*a - 2*a)*(2*a - a + a).\nAnswer: 208*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3868\/3 + 5139\/4. What is the common denominator of p and 393\/108 - ((-11)\/4 - -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 4. Let u be 4\/((-12)\/(-9)) - -9. Does 28 divide b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 + 408 + 404 + 403 - 124*r**3 - 1626.\nAnswer: -124*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 65. Let s be f(19). Let x be (-28)\/42 + s\/(-96). Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 504 + -339. Let m = y - 158. Solve -8*q + 3 = -m*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/60 + 7*b**4\/8 - 12*b**3 + 41*b**2 + 2. Let u be g(-24). Solve 77*l - 74*l + 6 = u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1994 and 247188204?\nAnswer: 247188204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) -3 (c) -6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 2*p - 3*p + (-p + 0*p - 3*p)*(-2 - 5 + 4) + (-3 + 0 + 2)*(0 - 2*p + 0) to o*p + r and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r - 1. Let k(q) = 39*q - 2. Let v(n) = -3*k(n) + 10*l(n). Determine v(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-273))\/(-3*15\/36*4\/(-910))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 17*w + 112. Give r(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3421*o - 3423*o + a - 17 = 19, 0 = 5*o + 4*a - 92 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1378 - 1343) + -19 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1783269447 and 11?\nAnswer: 19615963917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11104 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1.4, 14, 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 462 by 2815.\nAnswer: 462\/2815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 29. Suppose 3*k - 66 = -o, -2*o + v = -k + 29. Suppose -4*u - j = -14, -j - k = -5*u - 0*j. Solve -d + 8 = -0*d + 4*b, -u*d + 13 = -3*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from wffwzwwwfwffffwwfwz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952703.\nAnswer: 113, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/45)\/((90\/(-27))\/10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(250\/65 - 4). Let o(p) = -p**3 + 15*p**2 - 11*p - 6. Let z be o(d). What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 divided by -11738?\nAnswer: -1107\/5869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779672 is divided by 365?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2935665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -1\/3, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 4041*o - 3697500.\nAnswer: 3*(o - 625)*(o + 1972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12303, -24691, -37079?\n\"Answer: -12388*y + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:31 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/13 (b) -54 (c) 19 (d) -2\/479 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*d + 7 - 3, 0 = -3*d + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 3*v - 9*v - v + 43. Let z(q) = 35*q - 128. Let b(i) = -8*l(i) - 3*z(i). What are the prime factors of b(-15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001594419585 rounded to 7 dps?\nAnswer: -0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-270)\/(-1440))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*-4391\nAnswer: 21955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -98\/3. Which is the nearest to 2? (a) z (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from ruukuruukrr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25349\/4 - 6337. Let m = 0.2 + -0.4. What is the smallest value in m, -1\/3, o, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, -1.6, -1, -5, -2\/11, -1\/5, 10?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/125*(5\/(-3))\/1.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - -2) + -7 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*33\/((-528)\/(-40)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 27. Calculate d(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 11. Let c = -18 + 11. Let j be g(c). Suppose -80 = -q - j*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6)*12\/8. Let t = -10 - -10. Let y = t + h. Solve 6*s = y*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 90. Let s be ((-86)\/j)\/(-1 + (-11)\/(-12)). Let o = 246 - s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4347 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 798, 3033, 7482, 14883, 25974, 41493, 62178?\nAnswer: 88767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t - 4587 - 7*t + 3*t - 21*t to h*t + v and give v.\nAnswer: -4587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -9205?\nAnswer: 9208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 7*g + 7. Let n be p(-6). What is the remainder when (-246)\/(-8) + 1 + (-6)\/8 is divided by 3*5 - (-2)\/n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 63770 = -2*m - 0*m, -d = -m + 31876. Do m and 31867 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**4 + 12*l**3 - 16*l - 5. Let t(w) = w - 1. Let i be t(3). Let o(s) = -6*s**3 + 8*s + 2. Let c(q) = i*x(q) + 5*o(q). Factor c(r).\nAnswer: 2*r*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 6. Let a = -13 + 15. Let v = 5 - 3. Solve -v*p = k*p, 0 = -4*n - a*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 24*x - 6. Let o be -1 + 1 + 33 + -3. Let c = o + -19. Let d(h) = 5*h - 1. Let w(f) = c*d(f) - 2*i(f). Determine w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (13 - -4) + 3 + -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(432) + ((sqrt(432) + (sqrt(432) + 2 - sqrt(432)) + -1)**2 - sqrt(432)) + (-2 + -1 + sqrt(432))**2 + -3) + -4.\nAnswer: -288*sqrt(3) + 5234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:53 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*n**4 + 0 + (-n**3 - 6 + 6)*(-n + 0 + 0) + n**4 + 2*n**4 - 2*n**4 + 0*n**2 - n**4 + 0*n**2 + 15*n**4 + 36*n**4 + 0*n**4 - 3*n + 2*n**4 + 3*n.\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 59*l - 17299. Determine h(112).\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p = -74*p + 138. Let q be p\/180 - (-4)\/40. Sort -1\/4, 5, q, -1.\nAnswer: -1, q, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111101110110101010 + 1?\nAnswer: 100111111101110110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6008.31 + 6008. What is the second smallest value in -0.1, 1, -0.4, -2, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 84*(-81)\/18*4\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**2 - u - 3. What is the units digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -14*y. Let w be 7\/5 + 2\/(-2). What is the closest to -1 in w, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + r + 2*r + (-r - 3*r + 3*r)*(-1 + 0 - 3) + 3 - 3 + r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 44\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**3 - 8*h - 5*h - 34*h**3 - 4*h**2 wrt h.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 277. Suppose -3*q = -22 - i. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/15, 2.959, -0.8, -9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -252, -3561, -13726, -34551, -69840?\n\"Answer: -634*y**3 + 376*y**2 + y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213047761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3164 + 964. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488010363*2\nAnswer: 976020726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 66. Factor -8*o + 3*o**2 + b - 17 + 4 + o**2.\nAnswer: 4*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/60 + 5*r**4\/24 + 4*r**3\/3 - r**2. Let p be x(6). Suppose -3*v = 2*z - 30, -p*z + z = 3*v - 33. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y - 4*j, -y + 116*j = 113*j - 2. Solve 1 = -y*o - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**5 + 475*h**4 - h**3 - 7535*h**2 wrt h.\nAnswer: 180*h**2 + 11400*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.035177 + -106.891823. Let b = -107 - s. What is b rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0025 + 0.1025. Which is the second smallest value? (a) -3 (b) n (c) -2\/37 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = 2*g. Let j(k) = -k - 2. Let a be j(g). Suppose -3*s + 24 = -s. Solve -2*i - s = a*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 - 5*d + 6. Let w be z(-5). Let l(j) = -j - 3*j + w*j - 2 - 3*j. What are the prime factors of l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2 + 2*sqrt(448))*-2)**2 + -3) + 3 + ((-3 + sqrt(448)*2*3)*-1)**2.\nAnswer: 224*sqrt(7) + 30502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4))**(-16) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 64.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154987 = -5*v + 3*x - 990022, x = 3. What is v rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {a: 7, c: 1, b: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-1598 + 1598 - 3485*i) to the form n + o*i and give o.\nAnswer: -3485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001938941263 to six decimal places.\nAnswer: -0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-684)\/(-8) + 1)*2. Suppose 3*p + 4*i + j = 6*p, 0 = 2*p - 2*i - 116. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (-33 - -28 - 23) - (1 + -19)) + 61?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 plus -0.32?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 + 6*k + 53. Determine a(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3400 * -0.199.\nAnswer: -676.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 11. Let n(t) = 105*t - 847. Let b(y) = 2*n(y) - 154*z(y). Let h(c) = 24*c**2. Calculate b(h(s)).\nAnswer: 1344*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -38. Let l = -29 - g. Let h(s) = -4*s - 2. Let d(q) be the first derivative of 3*q**2\/2 + 2*q + 2. What is l*d(n) - 2*h(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**4 + 5*t**4 + 3*t**4 - 2*t**4 - 7*t**4 + 3*t**4 + (-3*t + 3*t - t**4)*(-1 + 1 - 1) to z*t**2 + h*t**3 + b*t + m*t**4 + a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*s**3 + 2906*s + 2948*s + 76*s**2 - 6014*s + 2*s**4 = 0.\nAnswer: -40, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 - 5. Let j = -0.05 - 0.05. Put 2\/11, b, j in decreasing order.\nAnswer: b, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32944 and 9068688.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8312925 to the power of 1\/2, to the nearest integer?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25253 - 555675\/22. Suppose -12756 = -0*d + 6*d. Let z = d + 8545\/4. Find the common denominator of b and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b5059 - 3?\nAnswer: -12b5060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 53*a**2 - 4*a - 3. Give q(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 211, 2 in decreasing order.\nAnswer: 211, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzpizpz. What is prob of sequence ppiz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**6\/120 + 7*w**5\/60 + w**4\/24 + 7*w**3\/6 + w**2 + 10. Let k(r) be the second derivative of p(r). Determine k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600575760.\nAnswer: 2, 3, 5, 834133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b4 + -17?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76872 and 38136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 5*j**3 + 0*j**3 - 8*j**3 + 18*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 245237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115133, 230271, 345413, 460559, 575709, 690863?\nAnswer: 806021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002351895 rounded to 6 dps?\nAnswer: 0.002352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (102\/7)\/(11\/385)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 1 + (-8 - (69 - 82))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 29*z**2 - 127*z + 2761. Let f be y(28). Suppose m - 5 = 4*r, -6 + 5 = 2*r + m. Sort r, -3\/4, 0, f in descending order.\nAnswer: 0, -3\/4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 - s + 6. Let x be p(2). Solve x = 3*r + 2*z - 10, 2*z + 0 = -4*r + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/4 - 17*n\/4 + 4 = 0. Calculate n.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/56 + (-21)\/(-12). Suppose -5*d + b = -20, 7*d = k*d + 5*b. Solve d*u - 3*u - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f. Let h = -67 + 70. Let l(t) = -16*t**2 - h + 3 - 18*t**2. Give l(d(o)).\nAnswer: -306*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 17. Let v be -3 - (-7 + (-2 - 2)) - -1. Let c(f) = -f**2 + 10*f - 13. Let h be c(v). Sort d, -3, h.\nAnswer: h, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/144 - 2\/(-8)) + 10\/(-12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 976*y**2 - 59344*y + 114816.\nAnswer: -4*(y - 138)*(y - 104)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 7 + 7)*(-19 + 13 + 13) + 2*t**2 + 2*t - 2*t + (-3*t + 5*t - 4*t)*(-t - t + 0*t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4875000 to the nearest ten thousand.\nAnswer: 4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13740 + -14050. Which is the closest to 0? (a) -0.5 (b) 3\/5 (c) 2\/9 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55676 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y**4 + (4*y + 0*y - 2*y)*(-5*y + y**3 + 5*y) + 2*y + y**4 - 2*y - 6)*((2*y + 2*y - 6*y)*(6 - 21 - 4) + (0 + 3 - 1)*(-9 + 9 - 4*y)).\nAnswer: 60*y**5 - 180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.94 - -484.06. Let m = k - 489.999305. Round m to five decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + x + 42 = 0, 5*x - 84 = -4*d. Let b(s) = 6*s + 11. Let a(w) = -60*w - 111. Let o(m) = d*b(m) + 2*a(m). Calculate o(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 916923, 916900, 916875, 916848, 916819?\nAnswer: 916788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -84*g. Let l(m) = 2324*m. Calculate h(l(x)).\nAnswer: -195216*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 3*p**2 - p**2. Let a(c) be the second derivative of c**4\/12 + c - 41. Determine x(a(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 16. What is the nearest to h in 1\/2, -0.4, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/16 - 21*d**3\/8 - 33*d**2\/4 + 4*d + 6. Factor r(v).\nAnswer: 3*(v - 22)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334690 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/5 - 536954*s**3\/5 + 48053445336*s**2\/5 - 286699669055072*s + 1433450292366976\/5 = 0. What is s?\nAnswer: 1, 89492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 7. Let b be n(-7). Suppose b = 3*h - 2*h - 79. Calculate the remainder when h is divided by (-6)\/(-5)*(-10 - 800\/(-30)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p = -k + 10, 4*k + p - 1 = 0. Let f(r) = r**3 - 3 + k + 2*r + 6 - 6*r. Let s(v) = -v**3 + v - 1. What is -f(w) - 4*s(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c8a (base 13) to base 14.\nAnswer: 7286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1274 + 5057\/4. Let z = -2796 - -44709\/16. Calculate the common denominator of z and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 61. Give u(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1356*r + 233*r + 226*r + 249*r + 667*r.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 1, -5, -1 in ascending order.\nAnswer: -150, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 555 - 550. Suppose 0*q + 99 = 3*x - 5*q, 66 = 2*x + m*q. What is the highest common factor of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i**2 + 47*i - 768 wrt i?\nAnswer: 20*i + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 4, v: 5}. Give prob of picking 2 l and 2 v.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105\/(-3 - 0)*1. Find the common denominator of 135\/r + 3*1 and (-3 - -2) + 15\/(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/15)\/((-89)\/(-267))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 divided by -3694?\nAnswer: -355\/1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 72*q + 852 = -59*q + 211*q - 66*q, -i = -3*q + 183 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/12 + 50*u**3 + 301*u**2\/2 + 8*u - 7. Solve q(n) = 0 for n.\nAnswer: -1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25801.63km?\nAnswer: 2580163000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 11 - 157*j + 334 + 158*j.\nAnswer: j + 306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*v - 41 - 64 = 6*v, -5*v - 100 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (12 - 10) - -33?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3933 + 11800\/3. Factor 8\/3*b + j*b**2 + 16\/3.\nAnswer: (b + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -29. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275440*j**3 - 1196 + 2383 - 1187 - 275434*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*68\/56 + 9\/21*77\/(-66).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*18\/(-75)*5\/2. Do 1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -80483*k - 6921551. Determine x(-86).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 8 = 2*v - 13*f, -f + 2 = 4*v. Let x(i) = -i + 22. Calculate x(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2\/8 - 83*r\/4 - 33\/8 = 0. Calculate r.\nAnswer: -33, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(69\/(3519\/68)*9\/(-564))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(1 + sqrt(891))*5.\nAnswer: 15 + 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l, 2*l - 161869 = 321*g - 322*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 19*x**2 - 9*x - 62. Let r be g(-19). What is the first derivative of -r - 231*j + 442*j - 6 wrt j?\nAnswer: 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*f**2*k**3 + 35*f**2*k**2 + 15643*f*k**3 + 2*f*k - 17*k**2 + 2 wrt k.\nAnswer: 2118*f**2 + 93858*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/24 and -81\/71180.\nAnswer: 427080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -277 - -1018446?\nAnswer: 1018158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -17, 13, 61, 133, 235?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101232 + -1314?\nAnswer: 44413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -763 + 1069. Suppose 2*h - n = -3*m - 41, 2*h = -m + 275. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 64. Suppose 4*h + n*m = 40, h - m - 6 + 2 = 0. What is the greatest common divisor of h and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1857964590 to the nearest integer?\nAnswer: 43104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -843451 or -843452?\nAnswer: -843452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 167\/3*c**3 + 0*c**5 + 0 - 1\/14*c**7 + 0*c**2 - 73*c + 15\/4*c**4 + 0*c**6. Find the second derivative of t(m) wrt m.\nAnswer: -60*m**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*w**2 + 507*w**2 + 32*w**2 - 206*w**2 - 249*w**2.\nAnswer: -188*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 10. Let r be a(6). Suppose 0 = -2*j + t - 0*t, -r*j = 2*t - 12. What is the second derivative of 6 + 7*z**4 - 4 + 6*z - j wrt z?\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233+-33\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/6 - a**3 - 15*a**2. Let x be k(6). Let j = x - -63. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 20 = 4*q, 16 = -4*h + 9*q - 12*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -517*r - 8271. Let c be i(-16). Solve 0 = o + c, -5*o + 24 - 49 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 + 128.2. Let f = t + -29.2. Let b be (2 - 20\/(-16)) + -2. What is the closest to 1\/4 in 5, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**4\/4 + 7*m**3\/3 + 4*m**2 - 15*m - 37. Let h be t(6). Let k = -50 + h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2 and -73\/1776.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 1)*(-2)\/4. Suppose w*i + 124 = -i. List the prime factors of i\/(-9) - 48\/(-216).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-78)\/117*6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = -14*y - 187. Sort 6, -5, y, -4.\nAnswer: -5, -4, 6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*g - 1280 = -839*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -2560, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/111))\/r**(-4))**(-13\/4) assuming r is positive.\nAnswer: r**(-7241\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 237.99893. What is o rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 11*c + 7*c - 10. Let i = 12 + -8. Does 15 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.5 and 5.\nAnswer: -42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose 5*d - 8 = x. Factor -d + 3*j - 3*j + 4*j + j**2 - 3*j.\nAnswer: (j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**3 - 4*k**2 - 5*k - 3. What is the remainder when s(-2) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.4, -5, -3, -2\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 6*w**2 + 16*w + 5. Let a be f(8). Solve -3*c + 5*z - 6 = 9, -c - a = 3*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 18*n**2 - 38*n + 5. Give y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166 + -154 + (-9 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2479\/14 + 178. Find the common denominator of b and 476\/546*(-1 + (-51)\/(-42)).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105*-39.06\nAnswer: -4101.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 + -240. Calculate the remainder when 433 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05524 minus 41?\nAnswer: -41.05524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -144*p + 13068. Give q(92).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1*o**1)\/(o\/(o*o**(-1\/4)))**3*((o**2)**(-19\/3))**(22\/3) assuming o is positive.\nAnswer: o**(-3263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-259)\/((-7)\/(-13818)*-7) + 7.\nAnswer: 5, 7, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-3 + sqrt(931) + 0)*-5 + -5)*-5)**2.\nAnswer: -280000*sqrt(19) + 9350000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 + 125 - (-1 + 19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dmddmkddkdkkmkkdd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -15*k**2 + 11*k + 106. Let w(p) = -5*p**2 + 4*p + 35. Let c(d) = -4*b(d) + 11*w(d). Differentiate c(y) wrt y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1011100101111011110?\nAnswer: 1011100101111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6697541 to the power of 1\/2, to the nearest integer?\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 154239 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -1 - -4 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 424691226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -8.6. Let q = -7.95 + a. Let h = 0.0491 - q. Round h to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**(-6))**(-8\/7) assuming q is positive.\nAnswer: q**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 13, j: 1, m: 2}. Give prob of sequence gg.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/160*-4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u + 2. Let i(s) = -17*s - 2. Give 6*i(t) + 5*k(t).\nAnswer: -17*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25871)\/(-164) + 1\/4. Find the second derivative of -5*h - 5*h - 10*h + 6 - 7*h + 9*h + q*h**2 wrt h.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and 1\/5 + 685\/75.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 100 (b) 0.03 (c) -1 (d) -0.4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aap when three letters picked without replacement from {a: 3, p: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54914, -54725, -54546, -54383, -54242, -54129?\nAnswer: -54050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 6)*(-4*x - x**2 + 4*x + (4 - 4 - 4*x)*(-x + 3*x - x) + 0*x**2 + 0*x**2 - 2*x**2) to h*x**2 + j + t*x and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 11*b - 85. Let n be 1 + -3 + 0 + -2. Put n, -2, b in decreasing order.\nAnswer: b, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 + -5 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -1\/5 (c) 4 (d) -3\/11 (e) -0.3 (f) 0 (g) 0.187\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-35) - (-658)\/10. Let s = a - 30. Suppose -4*g = -s - 44. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17589*a**5 + 141*a**4 + 21916380*a**2?\nAnswer: -1055340*a**2 + 3384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 28302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.35065783 and -0.4.\nAnswer: -0.04934217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p + 13. Let v(t) = -249*t + 14. Give 3*s(h) - 3*v(h).\nAnswer: 753*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -170117, -170130, -170157, -170204, -170277, -170382, -170525, -170712?\n\"Answer: -d**3 - d**2 - 3*d - 170112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1968 + -1325. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71955417893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331*u**4\/4 - 2057*u**3\/4 - 429*u**2\/2 - 35*u - 2 = 0 for u.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxpk when four letters picked without replacement from kepxexykpxppykep?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -571 + 571. Let u(t) be the second derivative of -6*t + 0*t**3 + 0*t**6 - 1\/20*t**5 + k*t**2 + 1\/42*t**7 + 0*t**4 + 0. Let u(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/3 - 111428*q**3\/9 + 1635598*q**2\/9 + 185860*q\/3 = 0?\nAnswer: -18586, -1\/3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2604, 2605, 2606?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f - 45*f - 230*f + 379*f - 52*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1142*r + 1119*r + 1181*r + 1265*r + 1541*r + (0 + 2 - 1)*(r - r - r) - r - r + 0*r.\nAnswer: 3961*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 698 = 14*x. Are 44 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201 - -11?\nAnswer: 101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 27.83 and -0.5.\nAnswer: 27.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70588*w**3 - 70585*w**3 + 141182*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3699799\/217628 + (-6 - 11). Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and -0.043945.\nAnswer: -27.043945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2820262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7112?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*g + g - 24 = -f + 2*f, 6*f + 86 + 32 = -8*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1164\/7 or 121635?\nAnswer: 121635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-35) + 9 + (18\/(-14))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -9. Let d(n) = n**3 - n**2 - 26*n + 31. Let j be d(6). What is the greatest common factor of j and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30339798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2 - 1. Let u = 8 + -7.96. Let y = -0.14 + u. What is the smallest value in y, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)*v**(-3)*(v*v**(-6\/11))\/v**(1\/30))**(7\/8) assuming v is positive.\nAnswer: v**(-5537\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.07242948022+-0.5\nAnswer: -0.57242948022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o**2 + 8334*o + 508*o - 8842*o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*z - 10. Suppose -2*p - 23 + 89 = 0. What is the greatest common divisor of p and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*h - 72 = -167*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20102211101 (base 3) to base 10.\nAnswer: 126721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 5 + 4*s**2 - 96*s**3.\nAnswer: -96*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 8\/(-3 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 25733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*b + 16 - 16)*(1 + 2 - 2).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 398b (base 13) to base 9\nAnswer: 12251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.07836.\nAnswer: -0.003918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 366461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4731 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7971512804.\nAnswer: 2, 37, 197, 373, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Let k(j) = 3*j - 3 - 4 + 3. Let i(x) = 10*x - 13. Calculate o*i(a) - 7*k(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:28 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -86. Solve -s = b*m + 1, -3*m - 3*s = m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2, 0.2, -0.03, 3\/8, 16 in descending order.\nAnswer: 16, 3\/8, 2\/7, 0.2, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-72)\/278)*-1. Which is greater: -16 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11.384424 months?\nAnswer: 0.000948702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - 1102?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 4*t**2 + 2*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -d - 5*w, -4*d = 3*w - 2130 + 2092 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:55 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -199) + -33 + 32. Suppose 2*h + 180 + 92 = 0. Let m = h + i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-322*k**2 + 117*k**2 - 86*k**2)*(1 - 2 + 2)*(-3*k + 0*k - 5*k).\nAnswer: 2328*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.38*-233785.\nAnswer: 10141593.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**2 - 74515260*y + 298060976 = 0.\nAnswer: 4, 18628811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010110011 (base 2) to base 9.\nAnswer: -7237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:47 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71925 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -2. Let g be 4 + (798\/(-27))\/7. Let o = 18.38394 + -0.38394. Sort g, o, k in descending order.\nAnswer: o, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0126656 grams in tonnes?\nAnswer: 0.0000000126656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23630 and 25.\nAnswer: 118150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00261 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 39. Let t be 2 + 16\/(-12) + g\/6. Solve 0 = 2*k + 3*j - 5, 6 = -k + j + t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 + -11 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -2 (c) 0.3 (d) -116185 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 5*q + 4. Suppose -3*j - 2 - 4 = 0. Let m be (j - (-162)\/(-30)) + 4\/10. Let p(n) = n**2 - 2*n + 2. What is m*p(g) + 3*v(g)?\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 + -25 + 224 + (-1 - 0 - 24).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r. Suppose 4 = -c + 2. Let u be v(c). Let n(k) = -k**2 + k - 2. Calculate n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*a**3 + 662*a**3 - a - 1181*a**3.\nAnswer: 54*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11465553*j + 7360348 with respect to j.\nAnswer: -11465553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + 9 + (-10 - 2) + -1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(102))\/(sqrt(726) + (sqrt(726) - 2*sqrt(726) - sqrt(726))) + (sqrt(1700) + 1 + -1 - sqrt(1700)*-1*-6)**2.\nAnswer: sqrt(17)\/11 + 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - n + 1)*(-1 + 2 - 4)*(14 - 306 - 52).\nAnswer: -1032*n - 2064","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10484729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2 - 5\/8*w**2 - 1\/8*w**3 - w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 l, and 1 p when four letters picked without replacement from clgglpg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646663 (base 7) in base 4?\nAnswer: -1110333231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)*v)**(-1\/17))**(8\/5)*v**(-2\/13)\/(v\/(v*v*v\/v**(1\/6))*v)*(v**1)**32 assuming v is positive.\nAnswer: v**(43177\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65133330 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1010 + 1002 - 2014 - 41*l - 1 + 1 - l + (2 - 7 + 3)*(-2 + 2 - l).\nAnswer: -40*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7150 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2. Let l(f) = 40*f. Determine h(l(u)).\nAnswer: 8000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 31*u - 62*u + 33*u + 1. Determine x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 28*g + 109. Give b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 26\/3 (c) 0.11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 2*s**5 + 0*s**2 + s - s - s**5 + (3*s - s + 0*s)*(s**4 + s - s) - 10*s**5 - 10*s**5 + 23*s**5.\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33544150 (base 6) in base 9?\nAnswer: -1831643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2225161911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7023, -14041, -21049, -28041, -35011?\nAnswer: -41953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -1\/863, 6 in descending order.\nAnswer: 6, 0.6, -1\/863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.75951 to 1 decimal place.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*v + 2*v. Suppose 4*n + 3*o - 15 = v, n = 2*o - 8. What is the third derivative of 9*s**n - 8*s**2 + s**3 - 2*s**3 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 + 135. Let p = -354 + t. Let x = -5 + 4.7. Which is the closest to x? (a) p (b) 3\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -456. Let b(r) = r**2 + 11*r + 8. Let x be b(-11). Suppose -14*z = -x*z - p. Calculate the remainder when z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/4 + 333 + -4 + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1065222 - 2676836. Let y = z - -4311614. Round y to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.33*2\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3478 + -2121. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1684*b**2*d**3*s**3 + 56*b**2*d**3 - b**2*s**3 + 71373*b*d**2*s wrt d?\nAnswer: 10104*b**2*s**3 + 336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 216802 and 0.94.\nAnswer: 216802.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z + 14. Let n(h) be the third derivative of 5\/24*h**4 + 0 - 5*h**2 + 0*h - 13\/6*h**3. Let g(b) = -7*n(b) - 6*u(b). Determine g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 2*p**2 + 2*p + 3. Let v be j(-2). Does 4 divide (9 - v)*12\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -829*y + 776*y. Let g(d) be the first derivative of 0*d**y + 3*d**4 + 0*d - 13\/2*d**2 + 22. Find the second derivative of g(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161*k - 453*k - 326*k.\nAnswer: 382*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -76?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 224842945 to the power of 1\/2, to the nearest integer?\nAnswer: 14995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9248*b**4\/9 + 1360*b**3\/9 - 12314*b**2\/3 - 5440*b\/9 - 200\/9 = 0. Calculate b.\nAnswer: -2, -5\/68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 54 = 10*g, -147*s + 17 = -141*s + g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*m - 231*m + 137 = 7*g, -4*m - 2*g = 160 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*a - 8, 3*z = 3*a - 2*a + 2. Solve -z*k + 2*b = 1 - 21, b = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 27524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -29*n + 550. Let p be f(10). Calculate the greatest common divisor of 80 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*v - 2*v**3 - 78*v + 58*v + 30*v.\nAnswer: -2*v**3 + 318*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11754 divided by 2\nAnswer: -5877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 7*v**3 - 4*v**3 + 8*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1239, 4, 2, 1\/4 in ascending order.\nAnswer: 1\/1239, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*y + 16 = -2*c, y - 14 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 3*n**2)*(11 - 11 - 7*n) + (20*n**3 + 41*n**3 + 9*n**3)*(1 - 3 + 0).\nAnswer: -161*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c833999 + -3?\nAnswer: 2c833996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 12 - (-17 - -28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*t**4 - 29*t + 12*t + 16*t)*(-4*t + 2*t + 4*t)*(0 + 2 + 0)*(1 + 2 - 1).\nAnswer: -536*t**5 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/4259791?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/409999 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1884?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 15. Let j(m) = m + 4. Let w be j(-4). Suppose 34 = 2*h - 4*s, -3*s - 31 = -w*h - 2*h. Calculate the lowest common multiple of n and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3727*s = -3738*s. Solve 141 - 161 = 5*v - 5*x, -2*x = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/7, 0.1, 0.13, -3\/4 in descending order.\nAnswer: 0.13, 0.1, -3\/7, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:18 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 83?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 + 3*j + 6. Let t(x) = -x**2 - x - 1. Determine -a(i) - 6*t(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5045622*r**4 - 316*r**2 - 181*r?\nAnswer: 121094928*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5222, -5291, -5360, -5429, -5498, -5567?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -0.017029.\nAnswer: 0.082971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2767747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 65 = 3*l. Let c(m) = -14*m**2 - 2 + 2 + l*m**2. Let q(y) = -y**2. Determine q(c(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6918.901 rounded to the nearest ten?\nAnswer: -6920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -189, -282, -373, -462, -549, -634?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = -3*l, -6*l + l + 14 = t. Suppose -14 = 4*v + 3*v. Is v\/l + (-697)\/(-51) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 5. Let z be l(5). Suppose z = -4*b + 3*o + 19, 7 = b - 2*o - o. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6063856 to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + 0*o**4 - 2*o**4 + 0*o**4 + 3*o**4 - o**4 + (o + 2*o - 5*o)*(o - o - 2*o**3) - o**4 - o**2 + o**2 + (-o - 2*o + 4*o)*(o**3 + 3*o**3 - 2*o**3).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**8\/28 + 247*z**7\/42 + z**4\/12 + 1103*z**3\/6 - 4*z - 37. What is the third derivative of y(q) wrt q?\nAnswer: 240*q**3 + 14820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16391457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*d + 8*t - 7*t, t + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17d (base 15) in base 11?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*b + 12, 3*b - 57 = 4*d - 48 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 28*w + 2. Let c be g(14). Let s = 53 - 52.96. Sort -5, 1\/3, c, s in ascending order.\nAnswer: -5, s, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132 - 12332?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 3, p: 11}. Give prob of sequence mpg.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1464019.\nAnswer: -5\/1464019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2.3 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 54. Let c(q) = 4*q**2 - 3*q + 11. Let l be c(n). Suppose -9 - l = -6*y. What is the greatest common factor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2490)\/5395)\/((-1)\/(-65))*(2\/(-34))\/(-1).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:19 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16912378 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.64*0.0083878.\nAnswer: 0.022143792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l + 44*l**4 + 0*l + 1 + 10 + 73*l**4 wrt l?\nAnswer: 1404*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {r: 5, i: 6, n: 1, f: 5}?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092175?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - c - 1 + 0 = 0, -23 = -2*g + 3*c. Let b(d) = -29*d**2 - 5*d + 49*d**2 + g*d**3 - 21*d**2. Let i(j) = 5*j**3 - j**2 - 6*j. What is -6*b(r) + 5*i(r)?\nAnswer: r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.6788 + -1.1922. Let g = -0.029 + c. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10013218 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*s = 441, -s - 229 = 2*q - 52. What is the units digit of (0 + -2)\/1 - q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y**(10\/7)*y assuming y is positive.\nAnswer: y**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3346 or -3347?\nAnswer: -3346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -9.16. Let d = 9.022 - z. What is d rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = -22*j - 5*w, 15*j = 1041*w - 1038*w + 240 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4399 and 2324.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 328632?\nAnswer: 1\/82158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-5)\/10*8. Let d be m\/(-6) + 292\/12. Calculate the greatest common divisor of 25 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + g + 9, 4*y - 16 = g + 1. What is the greatest common factor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 9*c + 6. Let k = -64 + 56. Determine d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7277 plus 258?\nAnswer: -7019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 377\/5. Let k(n) = -n - 15. Let d be k(-7). Let g be (-5)\/180 + (-2)\/d. Sort y, -1, g in increasing order.\nAnswer: -1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.17 + -14. Let m = w + -0.24. Let n = m + 4.07. Which is the biggest value? (a) -0.1 (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h + 16*h - 19*h as i + j*h and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14893 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -112032000?\nAnswer: 112032030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + (-4 - -16) + 12 + -5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 208*w + 210*w + 7 = 0, -4*t = -5*w - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-9))\/((-12)\/54). Let q be (-8)\/(-230)*5\/s. Which is the closest to 1\/2? (a) 3 (b) q (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(1 + 2*t - 1).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -40, -1, -2\/5, -2\/3425?\nAnswer: -2\/3425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 10:35 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2 + 2)*((4 - 4 - 2)*(-1 - 4 + 3) + 3 - 3 - 3 - 1847 - 2832 + 7188).\nAnswer: 2510*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = g, -2*i = 3*g - g - 12. Let j(y) = -i + y**2 + 5 + 2. Let m be j(0). Solve -m*f + 0 - 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and 136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -9. Let a be 3\/(3\/(-2))*t. Let d = a - 0. Solve d*n - 3*u = -11, -n = -3*u + 5*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 663, -5, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 834380 rounded to the nearest ten thousand?\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quq when three letters picked without replacement from {q: 3, u: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 665887133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -171548730 divided by 62?\nAnswer: -2766915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 24476000 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 8 = 12. Let r = c - -168. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -33005*s + 33006*s + 3*a, -3*a + 0 = -s + 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-73)\/(-1))\/((-23)\/(-29900000)). What is j rounded to the nearest one million?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -235 - 14?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 325 = 3*j - 5*z, 0 = -j - 3*z + 85. Calculate the smallest common multiple of j and (-21)\/(-2) - (11 + (118\/(-4) - -19)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1) + 13 + 1. Suppose 0 = 3*u - 7*u - 124. Let q = -26 - u. Solve -4 = v - 8, -q*v + l = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/4 - 1027*q**4\/4 + 16917*q**3\/2 - 17258*q**2 - 610120*q - 1557024 = 0.\nAnswer: -4, 14, 28, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1305571\/67697 + -2\/9671. Do l and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (1 - 7 - -7 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + p = -263, 5*v + 498 = 3*p + 1823. Suppose 4*r - 8*r + v = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4900 divided by -7.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 11*a - 6. Let w be i(10). Suppose h = -w*r - 15 + 2, -4*h = -r - 16. Solve -3 = -h*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2)*s*s**(-19\/2)*s)\/((s**(1\/17)*s)\/(s**(-5)\/s)) assuming s is positive.\nAnswer: s**(-393\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -3*sqrt(99)*-6) + sqrt(99) + 4*-2*sqrt(99) + sqrt(99))\/((sqrt(432)\/(sqrt(8) + sqrt(8)*1))\/(-2*sqrt(294))).\nAnswer: 644*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**8\/336 + v**7\/35 - 3*v**6\/40 + 2*v**2. Let o(d) = 0. What is d?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 399 - 396. Suppose 4*r - 5*b - 430 = 0, -323 = -c*r - 2*b + 6*b. Is r greater than or equal to 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -71*b + 2778. Calculate the remainder when 278 is divided by f(38).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11175020 divided by 558751?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4749.72 meters to micrometers.\nAnswer: 4749720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 147, 3, 1.3, 0.13 in decreasing order.\nAnswer: 147, 3, 1.3, 4\/9, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -107591?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -61*k**3 - 10*k**2 - 36*k + 20. Let g be j(8). Round g to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - 2*j)*(-j**3 - 3*j**3 + 3*j**3) + (4*j**3 - 5*j**3 - 4*j**3)*(6*j - 4*j + 3*j) + 6*j**4 - 5*j**4 + 6*j**4.\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3890338 rounded to 3 dps?\nAnswer: -0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - j + 14 = 0, -2*o - 9*j + 6*j + 21 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2) + -4)\/(-1). Is 11*(4 + 1) + m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-11)*48\/(-2)*90\/(-80)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*g - 8, 2*g + 2*l + 3 = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 6 + 0*y - 6*y - 3*y - 2*y + 4*y + (2*y - y + y)*(-1 - 2 + 4) + 0 + y + 0 + (-1 + 1 + 2*y)*(4 - 4 + 1).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 52752?\nAnswer: 263760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:15 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(128) + 4 + sqrt(128) + sqrt(128))*4 - 3*-6*(1 + sqrt(128)))*5.\nAnswer: -3600*sqrt(2) - 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 13*r + 16. Suppose -14*m + 3*m + 275 = 0. Suppose 45 = -5*c - m. List the prime factors of f(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (408\/27)\/4 - 4\/(-18). Suppose 0 = 3*f + f - n. Do -2.1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 4*o**2 + 13*o + 1. Let z be f(-6). Is (-16)\/40 - 9177\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 87*f**2 - 4*f + 3. Let q(n) = 88*n**2 - 5*n + 4. Let k(l) = 4*b(l) - 3*q(l). Let m = 1336 - 1313. What is the remainder when k(-1) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2706639 * 0.9\nAnswer: -2435975.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 22545 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4690000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -300*w + 32. Let i be r(-5). Suppose -5*o + 2163 = -i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 183 - -a?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2653590, 4, 3 in descending order.\nAnswer: 4, 3, -5, -2653590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h - 56*h = -34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 9. Let k = -11 - -5. Let r be v(k). Let w(j) = -j**2 - 15*j - 60. Let a be w(-5). Which is bigger: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1301070856?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, -5, -24, -49?\n\"Answer: -3*i**2 - 4*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 695 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.5 - 1.5. Let g = k - -9. Let p be (1\/3)\/((-4)\/(-6)). Which is the closest to p? (a) 3 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671 = 11*c - 45*c - 9 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/4)\/(-5)*22\/(-330)*-30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56269 is divided by 547.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = -z + 2, 3*o + z - 7 = 0. Let q(t) = 21*t - o*t - 17*t. Let c(g) = 109*g. Give c(q(f)).\nAnswer: 109*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.1 + 15.1. Which is the smallest value? (a) 1 (b) 15 (c) v (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1758696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570752?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**3 - 32*c**2 - 20*c + 2. Let z be x(-3). Solve 94*a - 3*s - z = 99*a, 0 = 3*a - 2*s + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/((-12)\/(-5124)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*o**2 + 750*b**2*o + 907*b**2 + 6357607*o**2 - 2*o wrt b.\nAnswer: -6*b*o**2 + 1500*b*o + 1814*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvsssvv. What is prob of sequence vv?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 526\/5 or 105?\nAnswer: 526\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 54*b**2 + 5*b + 18. Let o(h) = -54*h**2 - 6*h - 16. Calculate -5*o(k) - 6*r(k).\nAnswer: -54*k**2 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 3:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 304264.\nAnswer: 91279.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 7, e: 3, v: 3}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -251, 0.01 in decreasing order.\nAnswer: 16, 0.01, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252.391 + -0.609. Let u = y - -372. Put 0, 1\/9, u in descending order.\nAnswer: u, 1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/326235 and 101\/55926.\nAnswer: 1957410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - h**3 - 20*h**3 + 55*h**3 - 14*h**3.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - 5*sqrt(75)*-1)**2*1 - ((sqrt(75) + 1 + 1 + sqrt(75))*6)**2.\nAnswer: -8244 - 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 274, 335, 410, 505, 626, 779, 970?\n\"Answer: p**3 + p**2 + 51*p + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-5)*(-6)\/(-8). Which is the nearest to 4? (a) -2\/15 (b) 2\/15 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*x + 268*x = -5*y + 46, -y = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 0*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 12*n**2 - 12*n - 4. Determine v(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8460 and 19\/933984.\nAnswer: 4669920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 + 4*y + 1. Let a be 3\/2*(-8)\/(-1). Let m = -7 + 15. Let x = m - a. What is d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52810679\/390 + -1760430\/13. Let c = i + -1\/195. Let s = -2907\/22 - -132. What is the common denominator of s and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 7*i + 6. Let j be m(4). Let q = j + 27. Let t = 2 + q. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, j: 3}. What is prob of sequence kj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 10*k**2 + 9*k - 44. Does 34 divide n(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3))\/j**(-14) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*p**2 - 37*p**2 - 72*p**2 - 2 - 42*p**2)*(5*p - 5*p + p) in the form c*p + o*p**3 + s*p**2 + j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, y: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g. Suppose -v - 2*y - 17 = -6*v, -5*v - 4*y = -41. Let d(k) = 9*k + 9*k - 14*k. Let a(o) = v*h(o) - 6*d(o). Let w(p) = -16*p. Give w(a(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 88.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -26 - 18. What is the common denominator of 13\/45 and v + (-1089)\/(-120) - 2?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.758938 to 0 decimal places.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*k - 5*c + 66, -c = k - 18. Suppose 14*g + k = 16*g. Let d be g\/1 - 6\/2. Solve -d*m + t - 17 = 0, 3*m + 5*t + 2 = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 + 2*l + 3. Is p(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(19) + -4 + 4.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 15*j**2 + 15*j - 9. Let x be y(16). What is the units digit of ((-530)\/x)\/((-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96214641 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 3195.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + j**2. Let a be (5\/(-1))\/5 + 2. Let y be w(a). Find the second derivative of -3*t**3 - 4*t**y + 171*t - 176*t wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Solve 0 = -4*i - 4*c, -s*i - 6 + 21 = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -85. Suppose -2*i - k = -7*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 16*v - 68 + 7. Suppose -4*d = 59 - 227. Calculate the highest common divisor of d and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 86666272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 + 255*z + 3780 = 0.\nAnswer: -12, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45269213513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 - 3*w + 2. Let i be m(3). Suppose 0 = 3*v + 4*r - 186, -3*r - 75 = v - i*v. Calculate the greatest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*d + 5*d**4 + 30*d - 5 + 5 + d**4 + (4*d**4 + d**4 - 3*d**4)*(1 + 2 - 8) to k + q*d**3 + m*d**2 + c*d**4 + p*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 greater than or equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + v = 3*y - 3, -2*y + 2*v + 14 = 0. Let k(t) = -y + 4 - 47*t + 46*t + 3*t**2. What is the smallest common multiple of 2 and k(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z - 3. Let n(s) = -s. Let q(r) = i(r) - 6*n(r). Let x be q(-6). Solve 0*m + 2 = -4*a + 2*m, 0 = x*a - 3*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353898.\nAnswer: 2, 3, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/14 + 27\/(-189). Let c = 40 + 53. Which is greater: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958733789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 64*x**2 + 350*x - 343. Is d(106) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 4*f = 3*d + 16, 0 = 3*f + 3. Suppose 5*l - d*p = -p + 120, 0 = -2*l - p + 37. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 575474029.3 to the nearest 10000.\nAnswer: 575470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n**2 + 11*n + 11. Let v(k) = -2*k**2 - 2*k - 2. Let t = 37 - 37. Suppose t = -8*i + 103 + 73. Give i*v(w) + 4*m(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 121. Suppose -4*a - 3*u = 107, -u = a - 3*u + 35. Let m = a + q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31472965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/60 - 33*y**2. Let u(m) = -2*m - 35. Give u(p(g)).\nAnswer: 2*g**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*u**2 + 6*q**2*u*y**3 - 2*q*u**4 + 24*q*u**2*y**3 + 2*q*y**3 + u*y**2 wrt u.\nAnswer: 4*q**2 - 24*q*u**2 + 48*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/63 - 3*2\/(-14). Let k(h) = -35*h + 6. What is the remainder when k(v) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 + (1 - 0) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/3 - 4*k**2 - 6*k. Give y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -1 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -853, -3976, -9183, -16474, -25849, -37308, -50851?\n\"Answer: -1042*n**2 + 3*n + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193\/14 + -27\/2. Let i = 0 + -3. Which is the closest to d? (a) i (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**2 + 4*p - 4. Let j(o) be the third derivative of o**5\/60 - o**4\/24 + o**3\/6 - 187*o**2. What is a(x) + 4*j(x)?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/28*-10*-1436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-63))\/(4\/(-6)). Let r = 3\/28 - z. Factor 0*k**2 - r*k**4 + 0 + 1\/4*k**5 + 0*k + 0*k**3.\nAnswer: k**4*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7675 + -7674. Sort m, -24, 2\/9 in increasing order.\nAnswer: -24, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -6 - 4) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(4\/3))\/(k*k**(-1\/8)))\/(k**(-7)\/(((k*k**(-2\/3)*k)\/k)\/k)))**(-3\/26) assuming k is positive.\nAnswer: k**(-123\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 9. Let m(y) = -14*y - 90. Let s(a) = 20*d(a) + 2*m(a). Let n(o) be the third derivative of o**5\/12 - 2*o**2. Give n(s(b)).\nAnswer: 320*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 8, -0.2, 55\/7, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 762.1108mm?\nAnswer: 76.21108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 2)\/(18 - 19). Let p be ((-9)\/y)\/(6\/6). Solve -4*u + 15 = 3*i, 0*u + i + 8 = p*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7865779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.5, 1, 1.71, -0.28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0597 - -0.0597. Which is the nearest to k? (a) 2\/7 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.684574 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6567096 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.1 (b) -1 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 105, 94, 83, 72, 61?\n\"Answer: -11*q + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.22 + 0.22. Let p = -3.6 - -0.6. Let h = 1 + p. Put u, 3\/5, h in descending order.\nAnswer: 3\/5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34785167 or -313066495\/9?\nAnswer: -34785167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*4 + 7. Let n(i) be the second derivative of -i**4\/12 + i**3\/6 + 5*i**2\/2 - 2*i. Let f be n(0). Solve f + 10 = -u*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 73020071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -262.\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/4*-1*3465\/(-275)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151415621?\nAnswer: 7, 541, 39983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -175 - 7*q + 61 + 56 + 61. Let d(m) = 8*m - 3. Determine 6*d(c) + 7*l(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 956 = -970. Let i(v) = 793*v - 170. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 7. Calculate f(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -794 - -794. Suppose -3*t = 2*o - 21, -5*o + 0*t + 30 = 3*t. Solve n + o = -p*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2\/5 - 402*o\/5 = 0.\nAnswer: -134, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:59 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -35 + (-39)\/(-26)*2\/12. Is -35 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11595705\/4 or -2898926?\nAnswer: -2898926","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 134\/10. Suppose 2*n + 3*m + 0*m = 2, 4*m = -8. Solve -n*k - k - 23 = -g, 0 = 3*k - g + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.3? (a) 0.1 (b) 0.02 (c) -5\/3 (d) -8\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*f = -3*h + 12, 2*h - 12 = -4*f. Suppose h*v = -v. Suppose v = 4*z - 4 - 32. Solve 3*s = 2*w - z, s + 7 = w + w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 258881?\nAnswer: 1035524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 721 = -3*s + 89, 0 = 5*t - s - 984. Solve t*u = 193*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - 1. Let h(b) = -2*b**2 + 1. Let k be -1 + 20*(-8)\/(-20). What is k*h(s) + 3*j(s)?\nAnswer: s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n. Suppose n = -8*a + 6*a. Suppose z - 3*r = 34, 2*z + a*r - 35 = -5*r. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 771, 1735, 2719, 3723, 4747, 5791, 6855?\n\"Answer: 10*c**2 + 934*c - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = 0, 3*k + 83*d - 87*d = -1852. Let x = -613 - k. Solve -x*i + 2 + 1 = 3*q, 13 = q - 3*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 7c?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 11*w + 30. Let i be u(-13). Suppose i*o = t - 5 + 337, 3*t = -o + 96. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 174, 217, 258, 297, 334, 369?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r + 6. Let g be 4\/(-2 + 1 + r). Solve 0 = -2*d + 8, -3*p - d - 11 = g*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(1539) + 1 - -4*(sqrt(1539) + 1))*-3.\nAnswer: 27 + 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 4*j = 15, 2*z - 2*j = 30. Let h be ((-1)\/z)\/(18\/36). What is the biggest value in -0.4, -0.06, h?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38848292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/79, 318, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(92\/24) - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 56.2, -6, 14, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-16))\/((-1)\/4). Suppose -3*j = -h - 7. Suppose 0*s + 2*s - k = 55, -j*s = 3*k - 115. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 10*r**2 - 10*r + 13. Let z be v(-11). Let d(t) = -15*t + 3. Let o(p) = 7*p - 1. Let n(u) = z*d(u) + 5*o(u). Calculate n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let i(a) = -3*a**2 + 5*a + 4 - 3*a + 2*a**2. Let n be i(y). Does n = -1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 572*s**3 + 2*s**2 - 31*s + 31. Let p be a(1). What is the highest common divisor of p and 2132?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h - 9*h**2 - 34*h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 20 + 28 = 2*g + 4*t, 0 = t. Solve -8 = 3*x - r, 75*r - 10 = x + g*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 - -1230\/7. Which is the closest to p? (a) 0.4 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*l - 19 = -30*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + (sqrt(175) + 0)**2).\nAnswer: 3*sqrt(7) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1876658 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(5) - (sqrt(80) + sqrt(5))) + -5)**2.\nAnswer: 72*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2416.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2. Let h(y) = 1447*y. What is h(k(w))?\nAnswer: -2894*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:55 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(175)*1 + sqrt(175) + -3 + sqrt(175)*-2 + (2*sqrt(175) + -1 - (2 + sqrt(175) + -1 - sqrt(175)))**2)*-1.\nAnswer: -701 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 69, 117, 173, 231, 285, 329?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 5. Calculate the greatest common factor of m and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:37 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -531*j**5*p - 2*j**4*p**2 - 2*j*p**2 - 2*p**2 - 196 wrt j?\nAnswer: -10620*j**3*p - 24*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 260 + -250. Calculate the highest common factor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/10 + 1)\/(6\/15). Is 1 - (-6 + -4608) - u\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20832390 and 14582673?\nAnswer: 145826730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/8 - 17*c\/4 + 2015\/8 = 0. What is c?\nAnswer: -65, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 280271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*s + 1065*s - 381*s - 345*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {b: 17, u: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2253?\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 101*w**5 - w**3\/3 - 1454*w**2 - 9*w - 285. What is the derivative of m(z) wrt z?\nAnswer: 6060*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 6 - 8*v + 1\/48*v**3 + 1\/16*v**2 - 1\/96*v**4 - 1\/160*v**5. Factor a(w).\nAnswer: -(w - 1)*(w + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-15)\/(-40)*(-8)\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/2)\/(-1)*3762\/5643.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -7. Let g(j) = -j - 7. Let k be g(r). Find the second derivative of -3*a**k + 4*a - a - 4*a + 4*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3375\/1760 - (8 + -6) and 43\/704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -18*x + 660. Calculate the lowest common multiple of 72 and x.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 6*t + 6*t + (-4*t - t + 3*t)*(5*t - 2*t - 2*t) + 4*t**2 - 2*t**2 - t**2 + 3*t**2 - 50*t + 51*t - 24*t to c + r*t**2 + j*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617131 is divided by 202928?\nAnswer: 8347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0*d**5 + 1\/12*d**4 + 0*d + 0*d**3 + 11*d**2 + 0 - 1\/56*d**8 + 0*d**7 + 0*d**6. Find the second derivative of k(w) wrt w.\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -0.4806683.\nAnswer: -0.1806683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 442 - 414. Suppose 7*b = 11*b - j. Let r(z) = -z**2 + 4*z + 3. Let i be r(4). Solve -i*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.952 and -7402?\nAnswer: 7403.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 154 = 102. Suppose a*s = 5*i + 28*s - 8, 6 = 4*i + 2*s. What is the highest common factor of i and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -1728, -2642, -3596, -4596, -5648, -6758, -7932?\nAnswer: -9176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let u = -0.42 + -0.18. Let d = u + 0.5. What is the nearest to k in 0.4, d, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(((-28)\/(-70))\/((-8)\/10)). Solve -5*h + 2*r = -u*r + 2, -2*h = -2*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264999508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/45 + 3*(-28)\/15. Let z be -1 + 5\/(-1 + 2). Let r(w) = -z*w + 0*w + 3*w + 2. What is r(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, i: 1, z: 1, h: 1, x: 1, t: 1}. Give prob of picking 1 n, 1 t, 1 z, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = -3*m - 2*f, -f - 2 = 0. Let y(z) be the first derivative of -36 + 9*z**2 - 4*z**5 - 2*z**m + z**5. Find the second derivative of y(n) wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -70, -77, -86, -97?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.3 (c) 12.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310345051 (base 6) to base 12.\nAnswer: -51bb187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610382 is divided by 4962?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 71244?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*k + 20 = 209*k + 3*c, 4*k + c - 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*(-4510)\/36285*2\/(-33)*-3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115 equal to -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 5*u - 30 - 27 = 0, 13 = -2*o + 3*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1+-33790320881.9537\nAnswer: -33790320882.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 309514.5 months?\nAnswer: 25792.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 485161 (b) 5 (c) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-25)*-25*(-44)\/60)\/((-13)\/13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 436.9603kg in micrograms?\nAnswer: 436960300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 300*p**2 + 5727*p - 946. Determine r(318).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5623539*f + 29580 = 5623046*f for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*q + 7. Let c(y) = -2*y - 9. Let g be c(-6). What is the greatest common divisor of g and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7652149121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38\/17 - 40\/17. Suppose -28 = -3*v - v. Suppose v = 5*u + 3*r, -u + r - 5 = -0*r. What is the closest to 0 in c, -4\/9, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.09, 10, -15?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let w be (-2)\/(-6)*(q - 1). Let k be (-18)\/54*(-45)\/(-25). Which is the third biggest value? (a) k (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 164)*((-2)\/(-4) + -1). Suppose 3*v + 20 = 5*v. What is the smallest common multiple of v and (-35)\/(-84)*w - 1\/6?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-32116\nAnswer: -32117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4041*q**3 + 10 - 10 - 5952*q**3 - 22060*q**3.\nAnswer: -32053*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*10\/(-20))\/(((-42)\/224)\/(42\/(-8)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49379 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 114. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.2 + 1.2. Let x = i - -19.999984. Round x to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 7:43 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -192021 - 5?\nAnswer: -192026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -70?\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:19 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286332*j**2 + 285850*j**2 - 571798*j**2.\nAnswer: 384*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*d**3*y**2 + 2*d**3 - 20*d**2*y**3 + d**2*y + d**2 + 2359*y wrt y.\nAnswer: 44*d**3 - 120*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -119, 1 in ascending order.\nAnswer: -119, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1303 - 1306. Which is bigger: 0.87 or a?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*z**5 + 8*z**2 - 8*z - 4 wrt z?\nAnswer: 440*z**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1022233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-1.28676.\nAnswer: -1.544112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103744912.\nAnswer: 2, 6484057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70106883 and 924?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) -0.05 (d) -32 (e) -0.0298 (f) 6\/7 (g) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, o: 1, i: 2, p: 2, a: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3891 divided by 6\nAnswer: -1297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/62 and (-4)\/(-18) - 477\/(-1134) - -2?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, 1 in increasing order.\nAnswer: 1, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019922 + -2?\nAnswer: -2.0019922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/31 - -2119\/124. What is the common denominator of ((-5)\/4)\/(1\/11) and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955.6828 milligrams in kilograms?\nAnswer: 0.0009556828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*m + 2345, 5*m - 3*s + 985 = 3330. Suppose -j + m = x, -j + 2*x - 1404 = -4*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*a + 168, -5*p - 5*a = -652 - 88. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*q**3 + 7 - 309*q**3 - 304*q**3 + 1243*q**3 - 295*q**3.\nAnswer: 20*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**4 + 137543*b + 199396 wrt b?\nAnswer: 8*b**3 + 137543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 22*y**2 + 20*y + 10. Calculate the remainder when r(-21) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(-2 + 2 - 3*w)*(-5 + 2 + 1).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - 272\/(-20). Let d be 26\/(-104)*40\/(-2). Solve -4*k = 3*y - d, -5*y + y + o = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -222303?\nAnswer: -222303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13244 + -5859. What is the first derivative of 7475 - p - i**3 + i**3 + 67*i**4 wrt i?\nAnswer: 268*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 3*z + 6, 2*z = -2. Suppose -2*o + 4*l = 6, 40 = 4*o + 2*l + s*l. Calculate the remainder when 37 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -9\/8, -1\/2 in descending order.\nAnswer: 4, -1\/2, -9\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 327 + 60 = 0. Let r = s - -149. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 313646 = 22*n - 1449264. What are the prime factors of n?\nAnswer: 2, 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p + 92*p - 14*p + 64*p + 23*p.\nAnswer: 177*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*z**3 - 5*z + 5*z - 204*z**3.\nAnswer: -42*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61499, -65014, -68529?\n\"Answer: -3515*v - 57984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13814184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v = -31*v + 22*v + 41*v - 15660 for v.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2538132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let j(t) = -221*t + 51. Let u(s) = 198*s - 2 + 7 - 220*s. Let v(b) = 5*j(b) - 51*u(b). Give v(h(z)).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*d + 120, 17*k - 12*k = 3*d + 91 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-12))\/(6\/(-32)). Suppose 0 = n + w + w - b, 0 = 2*n - w + 4. Solve n = -2*y + y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168826836 divided by -42206709\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ac0c2 (base 14) in base 15?\nAnswer: -13cec2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24336 and 133848?\nAnswer: 267696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 68*v + 96 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108779016 divided by -179?\nAnswer: -607704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 59. Let t be z(-8). Which is the nearest to -1? (a) t (b) -0.3 (c) -2\/113 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 2. Let z be v(-4). Calculate the highest common factor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30157909.\nAnswer: 59, 511151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 6*m + 6*m)*(-138 - 57 - 82) + (3 + 2 - 3)*(-m - 3*m + 2*m).\nAnswer: -1943*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96.99752 - 97. Round g to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498927084 to the nearest integer?\nAnswer: 22337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -572, -944, -1424, -2048?\nAnswer: -2852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 9, -5\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 651 - 143. Let g = 517 - m. What is the remainder when 87 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 2c?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -151, -534, -1145, -1984?\n\"Answer: -114*q**2 - 41*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/492 and 111\/10.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {t: 1, z: 1, q: 1, m: 6, v: 1, f: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-10)*10\/4. Let m(n) = 2*n**2 + 3*n - 3. Let g(j) = -24482*j**2 - 24486*j**2 - 4 + 4*j - 24487*j**2 + 73457*j**2. Determine b*g(t) + 4*m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10400 and 2000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 83 + 15. What is the remainder when g is divided by (0 + -1)*16\/((-16)\/13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d. Let v = 2 + 4. Let u = -4 + v. Put 2\/11, d, u in descending order.\nAnswer: u, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111001101111111101110 (base 2) in base 12?\nAnswer: -418b2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121298 is divided by 24243?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -849*d. Let k(z) = -5*z**2. Determine k(t(b)).\nAnswer: -3604005*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m - 56. Let y = -24 - m. What is the tens digit of 6*(0 + y\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685799 is divided by 48984.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2. Let u(b) = -6*b - 9. Give u(j(g)).\nAnswer: -60*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - x = 40, 409 = 3*r + x + 435 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 14. Is -4 + 0\/4 + i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -402 - -841. Let y = -373 + b. Calculate the remainder when y is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:20 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(142\/10 + -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18217*l - 405 + 405.\nAnswer: 18217*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 1. Let a be i(-6). Let h = a + -5. Suppose h = -q + 5. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.6 + -0.6. Let u = y + -10. Which is the third smallest value? (a) -3\/2 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 5, -53, -119, -187, -251, -305, -343?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54, -57, -10, 111, 330, 671, 1158, 1815?\n\"Answer: 4*m**3 + m**2 - 34*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/10 and -143\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 5. Let t be q(-3). Suppose -t*j = 3*l - 11, -5*j + 38 = l + 3*l. Let d = -8 + j. Solve 0 = -g + 3*k + 8, 4*g - d*g = k - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 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: What is the common denominator of 107\/4004 and -69\/208?\nAnswer: 16016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by 5?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 229, 468, 795, 1210, 1713, 2304?\n\"Answer: 44*c**2 + 19*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 17 = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 443*x**2 - 16*x + 10. Let s(j) = 138*j**2 - 5*j + 3. Give 2*o(v) - 7*s(v).\nAnswer: -80*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 5*k - 4. Let v be (2 + -1)\/(-1)*-4. Let l be d(v). Solve -5*c - 27 = 3*z, -3*c + l*c = 2*z + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/4)\/1)\/((-10)\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000 (base 2) to base 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103.6 + 104. What is the nearest to -0.1 in -2, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/80*((-427)\/4158 - 54\/99) and 145\/2808.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48843 - 34456. What are the prime factors of p?\nAnswer: 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285651540 and 360?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37437746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20258 + 38562. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b**3 - 11*b**2 + 11*b + 12. Let x(n) = -9*n**3 - 10*n**2 + 10*n + 11. Let i(c) = 5*x(c) - 4*y(c). What is i(-6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 3*u. Suppose -w - g + 50 = u, 3*w + 11 - 161 = -2*g. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from pypselpyys.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76320 and 161650?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -763, -1782, -3481, -5860, -8919, -12658, -17077?\n\"Answer: -340*k**2 + k - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/280*h**6 - 5\/56*h**4 + 0*h + 0 - 8*h**2 + 1\/35*h**5 + 1\/7*h**3. Factor z(k).\nAnswer: -3*(k - 2)*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110010111?\nAnswer: 110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -5\/3 (b) 2\/3 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 228?\nAnswer: 9804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 33\/14525?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8622.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -103, -111, -117, -121, -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4370801 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1159705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 9 - 548174*g**2 + 5.\nAnswer: -548174*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(16\/(-6)*(-57)\/31844) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 64 + 84 = 0. Let l be (3 + (0 - -2))*(-4)\/d. Suppose 0 = -5*w + l*w - 57000. What is w rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/((-25)\/(-5)) + 10. Let u = 16 - d. What is the hundreds digit of 2 - (-4 - 317)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*m - 7*m - 12, 11 = 4*r - m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = k - 2*k + 4*q, -18 = -4*k - q. Let r be (-10)\/25 - (-347)\/k. Suppose -2*z = z - r. Is z 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 53645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3512653 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/99 and 73\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -0.2 (b) -1 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4\/7, 2.6 in descending order.\nAnswer: 23, 2.6, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 780\/(-36) + 2\/(-6). Let h(j) = j**3 + 23*j**2 + 21*j - 27. Let i be h(q). What is the third biggest value in -0.4, -7, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u - 2. Let y be d(2). Suppose -2 = -2*q - 2*o + 2, 0 = -q + y*o - 18. What is the units digit of ((-8)\/5)\/(q\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -61\/2. Suppose 2*o - i + 3*i + 12 = 0, -o + 5*i - 6 = 0. Let f be ((-3)\/o + 2)\/(1\/2). Sort z, f, 4 in ascending order.\nAnswer: z, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -24*q. Let j be 0\/(-3) + 3*-1. Put q, j, 9 in increasing order.\nAnswer: j, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449943309?\nAnswer: 3, 1149981103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16843*m**4 + 2*m**3 + 6*m**2 - 2*m + 471735.\nAnswer: 202116*m**2 + 12*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**4 + d**2 + 8*d**4 - d**2 - 2*d + 4*d**3 as t + u*d**2 + p*d**3 + y*d + b*d**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192346425?\nAnswer: 3, 5, 167, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55806906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 11*y - 34 + 320 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010101 + -110111?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from qturltuulvrlt.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6686 is divided by 1667?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13*l = -108. Suppose -l*y + 16*y = 0. Solve -4*u + y*u - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1268 and 398469?\nAnswer: 1593876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 144569 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10110 + -13?\nAnswer: 10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and 241636?\nAnswer: 241636.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 8*r + 2*r**2 - 6*r + 53089*r**3 - 53017*r**3 + (0*r**2 - 3*r**2 + 2*r**2)*(-2*r - 3 + 3) in the form s + c*r**3 + i*r + f*r**2 and give c.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f**3 + 4*f**2 + 7*f - 10. Let s(r) = r**2 + r - 3. Determine -o(x) + 3*s(x).\nAnswer: -15*x**3 - x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 375474654 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvv when three letters picked without replacement from {v: 11, b: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 21 = -3*u + 5*d - 106 + 39, -4*u - 56 = -2*d for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 + -0.06. Let v = 272.96 - 275. Let k = v - 0.96. Which is the second biggest value? (a) 2\/11 (b) -0.5 (c) k (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(336\/(-32))*((-111)\/(-148))\/((-6)\/(-116))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*k - 10 = 2*l + 151*k, -3*l - 12 = -2*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 168 - 153*v**4 + v + 4 - 174 as x*v**2 + w*v**3 + h*v**4 + u*v + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/8 + 39\/(-12).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*h**2 + 247*h - 247*h as g*h + m*h**2 + k and give m.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 2 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 6)*(-3*x - 4*x - 3*x) + (0 - 2 + 0)*(1 - 2*x - 1) - x + 2 - 2 + (4 - 4 + 2*x)*(-8 + 8 - 5))*(-8 + 14 - 1) to m + a*x and give a.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.488 - -2.088. Which is the fourth biggest value? (a) y (b) 2\/7 (c) 13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119070 + 119090. Let y(n) = 12*n**2 - 4*n + 3. Calculate the remainder when y(-4) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204259 divided by 13531?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let u(v) be the first derivative of v**6\/120 + 6*v**3 - 16. Let c(d) be the third derivative of u(d). What is c(y(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:59 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16109 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srssrrrsss. Give prob of picking 1 r and 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55.22, -3\/34, 1, -1\/4, -2, 0.1 in ascending order.\nAnswer: -2, -1\/4, -3\/34, 0.1, 1, 55.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -684071?\nAnswer: -15\/684071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 587 + -579. Suppose -4*h + 130 = 2*g, 3*g - 3*h - 222 = -0*g. Let q = g - 43. Calculate the remainder when q is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-4141)\/(-287) - 1872\/42.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:50 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**2 + 166*a**3 - 3*a**4 + a**4 - 168*a**3 + a to the form n + i*a + z*a**3 + x*a**2 + j*a**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 21?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786017 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 3*b**2 - 4*b**2 + (-b - 3*b + 2*b)*(2*b + 3 - 3) to the form w + h*b + l*b**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*k - 2*v + 7, -3*v + 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 2, j: 4}. Give prob of sequence mjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3999 and 5559.\nAnswer: 7410147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-27))\/((-4)\/(-2)*((-726)\/108)\/(-121))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259806734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1\/5, -3, -0.01?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Suppose -5*k = -44 - 36. Let b be ((-76)\/k - -5) + (-118)\/(-8). Let n(j) = -6*j. Determine b*t(i) + 2*n(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 7 - (2 - 1). Let z be (4\/10)\/(f\/30). Solve 9 = 3*h - z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.64 + 0.04. Let i = -3.4 + r. Suppose -3*v + 2 = -5*v. What is the third biggest value in v, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.5 (c) -209\/2823\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l + b + 8 = 45*l, -2*b = -4*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8470 + -1533076\/181. Is k at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3425996637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30246 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/130 + (-2)\/(-13). Let l = -18\/35 - -4\/5. Sort l, i, 0.5 in increasing order.\nAnswer: i, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**4 - 5*f**4 - 434*f**2 + 218*f**2 - 5*f - 3*f**3 + 2*f + 218*f**2 in the form l*f + s + o*f**3 + w*f**4 + h*f**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o\/((((o\/(o\/o**3))\/o)\/o)\/o)))\/(o**6\/o))**(3\/4))**(3\/14) assuming o is positive.\nAnswer: o**(-27\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, a: 4, p: 7, l: 4}. What is prob of picking 2 l and 1 p?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (-321)\/(-15) + -1. Suppose -2*o - 56 = -g. Let x = -16 - o. Solve c + x*m = -2*c + 23, -3*m + 17 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -83*n**3 + n**2 + n + 1. Let j be g(-1). Let c = -81 + j. Solve -10 = -l + c*k, 2*k + 1 = l - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.57413 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(-12)*x)\/x)\/(x*x*x\/x**(2\/19)))\/(x**(2\/11)\/(x*x\/(x*x\/x**12))))**(-1\/5) assuming x is positive.\nAnswer: x**(-4582\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let t(m) = -4*m**2 + 65*m. Let l = -37 - -53. Let g be t(l). Solve p*u = -v + g, -2*v + 20 = -2*u + 5*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*l + 5 + 3, -2*n - 8 = 0. What is the nearest to 2\/5 in 1\/6, 4, l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 44*b - 427. Give z(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4154\/217 + -20)\/(27\/(-693))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/2 (b) 7 (c) -2\/35 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/3*k**4 + 0*k + 0 + 46\/3*k**3 + 22\/3*k**2 + 2\/3*k**5.\nAnswer: 2*k**2*(k + 1)**2*(k + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + g = l + 381, 5*l + 2*g - 377 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.55023 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416047 is divided by 147.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 8*f - 9. Calculate z(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-896*b + 357*b + 399*b)*(-1 + 0 + 0 - b).\nAnswer: 140*b**2 + 140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -386\/7 (b) -3\/1432 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s + 9. Suppose 11 = -s*j + 56. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 10678*h**3 + 0*h - 13986*h**3 + 2*h.\nAnswer: -24664*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394 - -778. Suppose -182 = -2*f + h - 3*h, 0 = -4*f + h + s. Let t = 669\/7 - f. What is the third biggest value in t, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*(-2)\/(-9) + 1557\/324 and 58\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6798, 13621, 20458, 27315, 34198, 41113, 48066, 55063?\n\"Answer: l**3 + l**2 + 6813*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6658 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 2*u + 2*u)*(38*u + 46*u - 116*u) in the form g*u**2 + j + k*u and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 3, t: 1, u: 3, h: 1, n: 2}. Give prob of sequence taa.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55, 42, 29, 16, 3?\n\"Answer: -13*c + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((96\/5)\/8*5)\/((-4)\/4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 28738.\nAnswer: 1\/14369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 + 14*f**3 + 18*f**2 - 14*f - 16 = 0. Calculate f.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 35, 24, 11, -4, -21, -40?\n\"Answer: -k**2 - 6*k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p - 1\/2*p**3 + 3*p**2 - 16.\nAnswer: -(p - 4)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1018512 and 109\/5545232.\nAnswer: 49907088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3728*m - 3620*m + 7278*m = 2240 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -27 + (-1*(0 + 1) - -3). Let i be (3 + 3 + a)\/(2 - 3). What is the second derivative of 16*g - 6*g + 6*g + 7*g - i*g**3 wrt g?\nAnswer: -114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**20*v**(-3)*v**3)**(1\/5) assuming v is positive.\nAnswer: v**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.921654 micrograms in kilograms?\nAnswer: 0.000000001921654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 5. Let n be z(-1). Suppose 4*c = n*c + h + 389, 5*c - 4*h = 1946. Suppose -4*v = -7*v + c. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 + 4 + -3). Suppose 3*r + v*h = -2*r - 7, 5*h = -r - 6. Let u be 0 - (-4 + r + 2). Solve u*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/1002056143?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1420556021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 8*s**4 + 3*s**4 + (15*s**3 + 7*s**3 + 15*s**3)*(-s + 5*s - s).\nAnswer: 107*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*c = 3542, -a = 2*c + 561 + 617. Let q = 2263 + a. What are the prime factors of q?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2 + 2\/(-4). Suppose n*b = b + 1. Solve -2*k = -3*k + b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 (base 8) in base 16?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 18, -10, -76, -192, -370, -622, -960?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 8*a + 9. Let o be p(7). Suppose x - o*x + 3 = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91\/3 + 31. Let l = 14 - 13.9. Let b be (-3 - -2)\/(0 - -3). What is the nearest to l in s, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39330 divided by 3?\nAnswer: -13110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**5 - 297*z**4 - 6*z**3 - z**2 - 78924*z wrt z?\nAnswer: 20*z**3 - 3564*z**2 - 36*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + l = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 = 2. Suppose -2*l - 2 = u. Let w(g) = 2*g - 21. Let y be w(9). What is the nearest to -1 in l, 3, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-496)\/(-6) + (-32)\/(-24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**2 - 10*m - 18. Let b be t(18). Let x = b + 6779. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -256213 and -256212 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-five quarters of a gram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231400103 (base 5) in base 13?\nAnswer: -1044115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-9)\/3*(-1)\/3. Suppose 2*x - 6 = -3*o, 4*o - 5*o = 4*x - f. Suppose -o*n + 43 = -5. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/44)\/(4*2\/(-288))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -391, -360, -329, -298, -267?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/h**(-3))*(h**(2\/21)\/h)\/h*((h\/(h**5*h))\/h)\/h*h\/h**(-10) assuming h is positive.\nAnswer: h**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -16\/863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 3*a**2 + 4*a - 4. Give g(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v**2 - 8*v + 4. Let j(n) = 8*n**2 - 7*n + 3. Give 6*j(g) - 5*q(g).\nAnswer: 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 888 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 + 6*w**2 - 11. Suppose 29 = -4*t + 5*l + 86, -35 = -5*t - l. Let b(f) = 4*f**3 + 4*f**2 - 7. Give t*b(m) - 5*p(m).\nAnswer: 2*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68, 140, 204, 236, 212, 108, -100, -436?\n\"Answer: -4*h**3 + 20*h**2 + 40*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3447 (base 8) to base 4.\nAnswer: -130213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 29. Let b be h(-16). Suppose 2*v - 203 = -b*y + 14*y, 2*y - 476 = -5*v. Calculate the greatest common factor of 1222 and v.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q - 11. Let y be b(-5). Solve -2*i + y = -4*x + 9, -5*x + i - 19 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/12)\/((-46)\/22816). What is the greatest common factor of r and 3782?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 160, -5 in ascending order.\nAnswer: -5, 3, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -3. Let s = -8 + m. Suppose -x = 5*k - 47, 2*x + x = 4*k + 236. What is the greatest common divisor of x and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694449 divided by 334.\nAnswer: -694449\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2108)\/(-3) + (0 - (-8)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 n when three letters picked without replacement from {d: 1, t: 2, a: 8, n: 4}.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302866676 and 16.\nAnswer: 1211466704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427486?\nAnswer: 2, 211, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -52, -88, -138, -202?\n\"Answer: -7*i**2 - i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121648164119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129*g**2 - 6*g + 69*g**2 - 3 + 24*g**3 + 9*g + 90*g**2.\nAnswer: 3*(g + 1)*(2*g + 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 7. Let a = 1 + 0. Suppose -6*u + 17 = 2*d - 3*u, 4*u = -4*d + 24. Let i be a + d + 2\/1. Calculate r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 60 = 4*h, 3*h + 3*g = 2*g + 44. Let f be h + 1 - (0 + -1). Suppose 13*z = f*z. Solve -4*i = -z*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 13 = 3*a - 25, -5*n = 3*a - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 * -5\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139.75 - -0.25. Let l = -139 + h. Which is the fourth smallest value? (a) 0 (b) 2 (c) -2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i*q**3*y**2 + i*q**3*y + 1761*i*y**3 - 380*i*y + 22*q**2*y wrt y.\nAnswer: 26*i*q**3 + 10566*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/76*(28 - 1). Let m = g + -4\/19. Determine t, given that 0 - m*t**3 + t**2 - 1\/2*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 551*w**2 - 34*w - 31. Does 77 divide r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 156*c + 88*c + 144*c - 105*c + 106*c - 5. Does 12 divide s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8956.823 millennia in centuries?\nAnswer: 89568.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-3))\/4*(-1235)\/988*3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*n = -223*n - 184. Is 245 - (1 + -2) - (18 + n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3083, 3 in ascending order.\nAnswer: 3, 5, 3083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19034 + -19156.63. What is h rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 2*p + 1. Let r be u(1). Let l be (-8)\/(-6)*r\/10. Let a = -2 + 1. What is the closest to a in 3, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 7*g**5\/20 - 75*g**4\/16 - 17*g**3 - 13*g**2\/2 + 3716. Factor n(m).\nAnswer: m*(m - 13)*(m + 2)*(7*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 + 2 + 3 + -1. Suppose -3*j + 25 = f*j, -u - j + 99 = 0. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 81\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcw. What is prob of picking 1 w and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5789 + -5789.1. Which is smaller: -234.1 or q?\nAnswer: -234.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i**3 + 0 - 1\/20*i**5 + 0*i**4 + 0*i - 1\/20*i**6 - 1\/70*i**7 + 2*i**2. Factor l(m).\nAnswer: -3*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258379 and 143.\nAnswer: 3358927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -271*j**6\/60 + 259*j**5\/60 + j**4\/24 - 45*j**2. Find the third derivative of o(z) wrt z.\nAnswer: -3252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 48*m**2 - 317*m - 18817. Calculate k(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*p + 28 = -8*m, -m - 4*p = 10. What is the remainder when 2 is divided by m\/(0 - 5 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 2 (b) -139 (c) -1\/6 (d) -1\/3 (e) 1259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 195*q**2 - q**3 - 195*q**2 - 2*q**4 to g*q**3 + v + s*q + h*q**4 + w*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, 85\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*4\/(2*12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224208573 to the nearest integer?\nAnswer: 14974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.618522 rounded to 2 decimal places?\nAnswer: 5.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 31.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 25 = -2*a - 4*o, 0 = -2*a - 5*o + 25. Suppose m - 4 = -m - 4*i, 18 = a*m + 2*i. Factor 2*h**2 - 3*h - 1 - m*h + 8*h.\nAnswer: (h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 872*m + 876.\nAnswer: -4*(m - 1)*(m + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*i**2 + 42*i**2 + 9*i + 41*i**2 + 25*i to the form y*i**2 + c*i + o and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 476299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) + (-13)\/(-2). Let q = -6 + i. Factor 3*k**q - 4*k**2 + 3*k - k.\nAnswer: -k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5026 - -1.0026. Which is the smallest value? (a) 6\/11 (b) p (c) 0.3 (d) -1\/6 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/8)\/((-2)\/(-8)). What is the first derivative of -34 - u*z**2 + 3*z - 3*z + 20 wrt z?\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 11\/10*q**5 + 0*q**3 + 0 - 8*q + 0*q**4 + 15*q**2. Let r(n) = n. What is z(r(v))?\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76578 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*y. Suppose 3*l + 3 = -3*s, -5*l + 6*s - 2*s = 14. Let u = 6 + -1. Put y, l, u in ascending order.\nAnswer: l, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -4\/21525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 + 245598*p + 1227996. What is v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4 = w, w = -5354*h + 5359*h + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1911, -1191, -471?\n\"Answer: 720*t - 2631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 16 = -g - 3*g, 0 = g - w + 14. Let s = g + 19. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 270 = -7*h. Calculate the remainder when 142 is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 16*w - 6*w. Let z(g) = -g**3 + 9*g**2 - 8*g + 3. Let m be z(w). Suppose 2*v + m*v + 527 = 2*p, 4*v - 802 = -3*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*j**3 + 45*j**4 + j**2 - 3*j**2 - 23*j**4 + 2 - 11*j**4 - 17*j**4 to the form g*j**4 + s*j + x*j**2 + l + y*j**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18a41180 - -4?\nAnswer: 18a41184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 6\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 4 + -3 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 2 p when four letters picked without replacement from ptcplpclpbtptttpppgt.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppayyyy. What is prob of sequence aya?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 220621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, a: 1, o: 2, s: 7, g: 1}. Give prob of sequence occa.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - -182. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 2, 0.1 in descending order.\nAnswer: 2, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89394728?\nAnswer: 2, 1289, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(152\/(-10))\/(-2). Let a = 55 + c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aas. What is prob of sequence as?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.5, -44.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 10. Let x be v(4). Suppose 3*z + 1 = 8*z + 3*o, -5*o = -x*z + 19. Solve -d - 4*h + 8 = 0, -z*h - 2*h + 28 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -84, -105, -110, -93, -48, 31?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g - 3690247 + 3691422 = 0 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 + 1312787*h + 1312788 = 0. Calculate h.\nAnswer: -1, 1312788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/12 - 282543*s**3\/4 - 3390580*s**2\/3.\nAnswer: s**2*(s - 847645)*(s + 16)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (6 + -1) - -17 - -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**6\/180 - j**5\/30 + 4*j**3\/3 - 4. Let y(o) be the third derivative of x(o). Factor y(v).\nAnswer: -2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 590\/(-145) - 2\/(-29) - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243604543*c**3*l + c**2 - 5*c*l + 2*c - 47*l - 1801 wrt c.\nAnswer: -1461627258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 3:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 23*t**2 - 19*t + 440. Let d be k(23). Solve 3*s = n + 10, -d*n - 3*s = 2*n - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + sqrt(117)*3)\/sqrt(9) - sqrt(13) - (sqrt(13) + (sqrt(65)\/sqrt(5) - sqrt(13))*-1))*-4)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (9 - (4 + -1)). Suppose 10 = -x - 5*u - 13, -o*u = 20. Solve 3*s + 5*c = 19, -x*s = 3*s + c + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18454 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 196a - -5?\nAnswer: 1970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/4 + 10209*y**2\/4 + 2883972*y + 1082566800.\nAnswer: 3*(y + 1064)**2*(y + 1275)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 2, 43, 2\/9, -291, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -308*p**3 + 11*p**2 - 37*p + 6. Let i(o) = 102*o**3 - 4*o**2 + 13*o - 2. Give 17*i(v) + 6*z(v).\nAnswer: -114*v**3 - 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + 0 + 1 + 1 + (4 - 2 + 0)*(-3 + 1 + 3) + 4 + 0 - 5)*(4 + 1 - 2 + (-2 + 1 + 0)*(3 + 2 - 4) - 2 - 3 + 4 + 9 - 8 + 8)*(3*j**4 + 5*j**4 - 4*j**4).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 30*k - 692. Let s be v(23). Put -3, -51, s in descending order.\nAnswer: s, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3679515)\/42*(-6)\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588100, 588086, 588048, 587974, 587852?\nAnswer: 587670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 60. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -717*b - 12914. Determine n(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4225 = 5*x - 0*x, 4*t - 4*x - 16900 = 0. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 252*s**2 + 15194*s - 65. Calculate l(100).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5017421.\nAnswer: 193, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (79 - 86 - (-1 - 9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i + 1. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 930\/115 - 2\/23.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 32*m**2 - 5. Let h(y) = -78*y**2 + 12. Let x(f) = 12*c(f) + 5*h(f). Let d(k) = 5*k**2. Calculate x(d(l)).\nAnswer: -150*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 3572634*h - 10717875.\nAnswer: -3*(h - 1190875)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1228 + -1225. Solve -j*a - 20 = -8*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6354651257?\nAnswer: 6354651257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3 = -2*z, -12 = j + z - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1688, 13467, 45272, 107117, 209016, 360983, 573032?\n\"Answer: 1669*g**3 - g**2 + 99*g - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-8))\/((-2)\/(-8)). Suppose r + 1381 = 3*c, -c - 3*c + 2*r = -1844. Calculate the greatest common divisor of d and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - a**3 + 3*a - 2 - 4 + 7*a**2 + 4*a. Let i be g(8). Suppose i*x - 2 = -2*b, 4*x - 4*b = x + 38. Solve m = x*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0, -60\/13?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 474102215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p + 10\/3*p**3 + 0 - 95\/12*p**4 + p**2. Let o be i(18). Round o to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 470574.2698 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 + -2091\/7. Let f = -3.05 - -0.05. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2471 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z - 2*z - 47*z - 3*z + 8*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*a - 738 = 10*a, 4*a = -2*i + 356. Calculate the remainder when i is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1) + 2\/6. Suppose -25 = -2*i + 4*r - 43, 0 = -2*i - r + 7. Are i and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n**0*n)**(-3)*((n*n\/n**(-2))**(1\/28))**(6\/7) assuming n is positive.\nAnswer: n**(-78\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.878248 millilitres in litres?\nAnswer: 0.002878248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1830*a**5 + 6*a**4 - 7*a**2 - 877866*a?\nAnswer: 36600*a**3 + 72*a**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/148 (b) -0.1 (c) 2.95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2*1278\/781?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 451166406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 2:18 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6894694.88 to the nearest 100000.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171055 (base 9) to base 16.\nAnswer: -19d1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 46765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 8*v**2 + 7*v - 4. Let a = 2700 - 2607. Calculate the remainder when g(6) is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/1676917, -0.1?\nAnswer: 2\/1676917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 9:29 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2214, 2215, 2216, 2217?\n\"Answer: z + 2213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/(-18) + 2\/6. Let x = 64 - 47. Let k = x - z. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + -5 + 5 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 93712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Let t = 3 + -2.7. Let y = -2865\/2 - -1433. What is the third biggest value in o, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19928747.\nAnswer: 41, 97, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**3 - c. Let o(w) = -w + 7. Let x be o(5). Suppose -3*t - 3*p + x = 2*p, 2*p - 7 = 5*t. What is the tens digit of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3326*v**2 - 14*v. Let a(b) = b. Determine y(a(u)).\nAnswer: -3326*u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21.8 and 17989901.\nAnswer: 17989879.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13615814 to the power of 1\/2, to the nearest integer?\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -237*q. Let j(c) = c. Calculate j(p(l)).\nAnswer: -237*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/3))**(-17)*q\/q**(4\/21)*q*q**45*q assuming q is positive.\nAnswer: q**(533\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 593, 542, 439, 272, 29, -302, -733?\n\"Answer: -2*f**3 - 14*f**2 + 5*f + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 198852922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 355.1749 times 3\nAnswer: 1065.5247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -233, -203, -161, -107, -41, 37?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-20)\/(3 + -4). Do 21 and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 497810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-3)\/(90\/12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*u + 3*d = 109*u - 36046, 0 = -5*u - 4*d + 45073. List the prime factors of u.\nAnswer: 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 - 2355007*g**2 + 2354977*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 16 + 10 - 10*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 + 85*c. What is t(-13)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -57*l + 58*l + 2*j - 2, 4*l + 5*j + 8 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 149*p - 22. Let m be j(-15). Let g = m - -3534. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 132*z**3 - z + 1. Let f be t(1). Suppose 3*p - 34 = -2*h + 99, -3*h + f = 3*p. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181, -180, -179?\n\"Answer: r - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1401795 divided by -9\nAnswer: -155755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109500 and 1022?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/4*96\/(-144).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/7 + 31232*h**2\/7 - 4794088*h\/7 - 1387584 = 0. Calculate h.\nAnswer: -15768, -2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5942163 months in millennia?\nAnswer: 0.000049518025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(135)\/sqrt(5).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 115 = -2*w - 3*w, -4*w = 3*q + 34. Let n = q - -21. Calculate the lowest common multiple of n and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022 + -22101202220?\nAnswer: -22101222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3e8 (base 16) to base 7\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - ((0 - -4) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -82622?\nAnswer: -82615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2688)*-1 + sqrt(2688)) + sqrt(2688))\/(sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(2)*2 + (sqrt(216) - sqrt(216)*2))*-5.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1036, -2, 0.4, 3, 5, 286?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.72? (a) 1\/2 (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -44872436 divided by 716\nAnswer: -62671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, -9, -5248 in decreasing order.\nAnswer: 0, -9, -24, -5248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 5 - -1) + -1. Let i = d + -1. Suppose i*w - 2*m = -4*m + 42, -4*w - m + 51 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -5*q**4\/4 - 25*q**3 - 135*q**2\/2 - 65*q - 72. Determine z so that o(z) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*d + 279 = 0, 4*o - 27 - 330 = -d. Let x = -91 + o. Let i = 1.7 + -2. What is the nearest to 0.3 in i, x, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3092482, 6184952, 9277418, 12369880?\nAnswer: 15462338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92429 is divided by 112.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1171 (b) 4 (c) -91.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3078707126.0000083 - 3078707291. Let s = -254 + 89. Let c = s - x. What is c rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 61. Let j be n\/6 + 3\/(-9). Suppose 4*m - 484 = 4*l, -2*l - 335 = -3*m + 28. What is the highest common divisor of m and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819.98 - 2.\nAnswer: 817.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 + s**2 - 4*s + 2. Let d be r(3). Let g = 55 - d. What is the tens digit of (g\/4)\/(4\/(-96))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-200))\/(28\/35). Sort -1, -5, d.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5.\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 850*p**5 + 404*p**4 - 146577*p.\nAnswer: 17000*p**3 + 4848*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/(1 + (-8)\/6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140315 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-7 + (3 - 4) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 - 3*u. Let b = -2 + 5. Suppose -b*p - 2*p = 10. Determine q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m**3\/15 + 11*m**2\/5 + 10. Factor t(d).\nAnswer: 2*d*(d + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 1221 (c) -1017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f - 11 = 3*g, 0 = f - 5*g - 29. Let h be (-2 + f)\/((-1)\/2 - -1). List the prime factors of 4 + (72 - 2) + h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128704925*p**4 + 1751*p**2 + 220*p + 15?\nAnswer: 3088918200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than -2\/1137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-33)\/6)\/((-11)\/440) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/15)\/(10\/(-25))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:15 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 115. Let q be d(36). Suppose -q*n + 3*n = -17772. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/13 or -2\/1207?\nAnswer: -2\/1207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/18815 and -93\/110.\nAnswer: 413930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23524.91us?\nAnswer: 23.52491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-4)\/(-29 + -3)). Let z = q + -9. Let w(d) = 8*d**2 - 1. What is w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -7 (c) -49 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 2*b + 2*b - 9*b + b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -902*w + 148. What is the units digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215 - -347. Suppose 292*c - 304*c = -u. Calculate the smallest common multiple of c and (1 + 1)*(-22)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 5136916*r**2 + 10273844*r + 5136924.\nAnswer: -4*(r - 1284231)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1340 + 2004. Suppose -63 = 17*q - 199. What is the greatest common divisor of w and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1154 - 1152. Solve 0 = -4*p - d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(240)\/sqrt(5)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1233795930 and 7110?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -69. Suppose b + 4 - 1 = -x, -5*x = 3*b + 7. Let i be 16\/10*x + -1. Which is bigger: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198850 by 99425.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 8*h - 3 + 9*h + h**3 - 8*h**2. Let t be k(7). Which is the closest to t? (a) 1 (b) 5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*i - 5. Let l = 6 - i. Solve 3*h = -4*g + 20, -l*h + 27 = 3*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.3. Let l be 1\/6*4*-1. Let i = -25005 - -24991. Which is the nearest to z? (a) -3 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 36. Let p be t(-8). Let i(h) = -18*h - 9. Let w be i(p). Let z = w - 62. Are z and -1\/106 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 1 + 13 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0 (c) -10 (d) -3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 1\/12*i**4 + 0*i + 0 + 0*i**3 + i**2. Let k(b) = 22*b - 22*b + 4*b**2. Calculate k(l(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-15)\/f)\/f*f*f**(-20)*f*f assuming f is positive.\nAnswer: f**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 2, x: 3, a: 7, h: 1}. What is prob of sequence xah?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12625*f**3*k**2 + 532*f**3 + 2*f**2*k - 2*f**2 - 37*f*k + 21068*k**2 + 63*k wrt k.\nAnswer: 25250*f**3 + 42136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g + 6, 5*g - 33 = 4*y. What is the remainder when 67 is divided by (1 + 24)*(1 + y - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132289461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 = 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -28*(183\/366)\/(2\/(-6)). Solve -11*s - f = 57 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 336.4541 - -0.0459. Let k = n + -337. Put k, -3\/5, 4 in ascending order.\nAnswer: -3\/5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Find the first derivative of l + 4*k**3 - 2 - k**2 + k**2 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 - 3*q + 1. Let c be j(-4). Let r(k) be the first derivative of -1\/4*k**4 - 1\/3*k**3 + 3\/2*k**2 + 4*k - 141. Calculate r(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9 - 4239)\/((-6)\/(-10) + 6\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6821258 to 3 dps.\nAnswer: -1.682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449 + -448. What is the nearest to -8 in -1\/5, t, 3\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857616925 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 49 = 8*s. Suppose -9*h = -s*h + 50. What is the remainder when 97 is divided by ((-6)\/15)\/(1\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 1}. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34700, -33745, -32154, -29927, -27064?\nAnswer: -23565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1673 - -2239.\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16808, -16816, -16824, -16832, -16840?\nAnswer: -16848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -47\/5. Which is the nearest to -2\/7? (a) 3 (b) -2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -176. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 b when four letters picked without replacement from bbbqbbwqbqqqbbwqqw.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)\/sqrt(3) - sqrt(50)) + 0 + (sqrt(72) + 0 - sqrt(2)) + (sqrt(2) - (sqrt(2)*-1 + -4)))*5)**2.\nAnswer: 1400*sqrt(2) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69*((-4)\/1)\/4. Is 1 - s - (-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m - m**2 - 175*m - 123 + 123 + 138*m.\nAnswer: -m**2 - 114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-3\/4)\/g)*g*g*g\/g**3*g**5\/(g\/(g**(-1)*g)*g) assuming g is positive.\nAnswer: g**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - p + 17 = 10*p - 0*p - 26, -4*t = 2*p + 24 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72181 + 105606. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1551748 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + a - 2*a, 0 = -4*a - 8. Let l = -10 - -22. Solve v = -w + 4*w + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18959, 1\/8, 95?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 521*l**2 - 3*l + 5. Is p(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-9)\/(45\/20))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:42 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3516902 and 932.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1141130.9 to the nearest ten thousand.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/736698 and 59\/27?\nAnswer: 6630282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9 + 13 - 3*x**2 + 15*x**3 + 4*x**2 + 3. Let r(t) = 10*t**3 + t**2 + 5. Let w(o) = -18*o - 1145. Let u be w(-64). What is u*r(z) - 5*y(z)?\nAnswer: -5*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let o(k) = 2*k**2 + 1. Let t(n) = -14*n**2 - 3. Let b(x) = -6*o(x) - 2*t(x). What is i(b(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55138 and 2646624.\nAnswer: 2646624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/7 + -17\/14. Let n = -2 - -2. Let f = -68 + 68.3. What is the nearest to n in v, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17290 rounded to the nearest 100?\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/845 - -1841\/5070. Let m = 329\/12 - 28. Find the common denominator of m and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.4 and 1964186581.652.\nAnswer: 1964186586.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 12. Suppose 0 = -3*j + x*s + 78, -2*s + 8 = 3*j - 88. Calculate the highest common factor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 - 1. Let o(c) = -c**2 + 18*c - 16. Let x be o(17). Determine r(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*(sqrt(152) - (sqrt(152) + -1*(2*sqrt(152) + sqrt(152)))))\/(sqrt(72)*1*3))**2.\nAnswer: 64\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020220201 (base 3) in base 5?\nAnswer: 1242344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = -61. Calculate the highest common divisor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 821.1854 centuries?\nAnswer: 82118.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - h**2 - 2*h + 7. Let t be k(6). Let a = 1267 - t. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-8)*(-1)\/((-4)\/(-96))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 9 + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k**3 + 160*k**3 - 8 - 50*k**3 - 51*k**3.\nAnswer: 2*k**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 4*f + 2. Let n(b) = 3*b - 35. Let z be (-2)\/2*-2 + 52\/4. Let d be n(z). Let y = -13 + d. Calculate i(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i - 1. Let q(f) = -1. Let g(z) = j(z) + 6*q(z). Let l(y) = y + 1. Let m(n) = g(n) + 6*l(n). Determine m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151 and 5946.\nAnswer: 897846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185003589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(288) - sqrt(288))*-6 - sqrt(288))**2 - 4*(-2 + 0 + sqrt(2) - sqrt(2))**2)*5.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 2, 1, -47, -4 in increasing order.\nAnswer: -100, -47, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 546560 = 2*b, 35*d - 31*d + 24 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3200845 + 13863845. Round l to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4926 - 4920. Solve 8*l - 4 = s*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28594336 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/360 - 5*j**4\/24 - j**3 - 2*j**2. Let p(n) be the first derivative of f(n). Differentiate p(d) with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -47. List the prime factors of (-4)\/20 - 4755\/o.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528, 5, -3 in ascending order.\nAnswer: -528, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 336 = 5*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17215 + 17215 + 633*g**3 + (-g - 2*g + 5*g)*(3*g**2 + 0*g + 0*g) to the form r*g**2 + k + j*g + c*g**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19332 + 19467. Solve -2*c - q + 143 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -18. Let f = g - -3.6. Put f, 8, -2\/3 in decreasing order.\nAnswer: 8, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001000 - -2010210112?\nAnswer: 2001202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193611.\nAnswer: 3, 11, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377757891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 712 divided by -178\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -172*(12 + 84*(-24)\/36) a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:53 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -23 - 2, 0 = -2*s - 3*b + 135. Let z be (-5 + 11)\/(-3 + s\/20). Solve 2*u - z = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6436 + 40453. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28798 and 4312.\nAnswer: 806344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 - 365 + 651 = 87*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 12. Let n(s) = 8*s**2 + 2*s + 2. Let m be n(c). What is the highest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 5*m - 2*m + 5*m as t*m + s and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*n**2 - 1801*h**3*n + 2*h**3 - h**2 + 9042*h*n**2 wrt h.\nAnswer: -6*n**2 - 10806*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from ppqppppppqq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = -4*k + 16, 17 = 5*k - 4*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-7)\/1) + -272*18\/288.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h - 3. What is the tens digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612) - (3 + sqrt(425))**2) + -3.\nAnswer: -437 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2\/(-1))*40\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 45 = 135. Solve 2*t - g = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/180 + l**4\/72 + 5*l**2 - 8. Let v(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/15*(-320)\/432?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:49 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*y**5 - 1798*y**4 + 74*y**2 - 10188933*y - 4 wrt y?\nAnswer: 240*y**3 - 21576*y**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.97 - 4. Let i = t + 2.03. Let o = -2 - 3. What is the nearest to -2\/5 in -2\/3, o, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 103 + 5*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (383 + -400 - (2 + -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose -14 = -4*a + 2*r + b*r, -10 = 5*r. Let c be 2\/a*(-7000)\/(-1). What is c rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363 times 3\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*i**2 + 2*i**3 - 2*i + 433*i**2 + 754*i**2.\nAnswer: 2*i**3 + 981*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -210 in -0.2, -1, -2\/3, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 103, 153, 201, 247?\n\"Answer: -v**2 + 55*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -187, -242, -259, -226, -131?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 y, and 1 a when four letters picked without replacement from {y: 11, n: 5, m: 2, a: 1, x: 1}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 103*j**2 - 927*j + 10057. Does 3 divide x(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:57 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*j + q - 5, 0 = 3*j - 5*q + 14. Suppose 129599998 = 4*v - j*n, -2*v + 4*n = -0*n - 64799996. What is v rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 109, 52, -43, -182, -371, -616, -923?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 1, p: 4, s: 2, h: 4, o: 1}. What is prob of sequence uosh?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2*z. Let b(t) = -2 - 2 - 4 - 2*t + 2. Let g be b(-5). Let x(n) = 3*n - 6*n + 4*n. Calculate g*x(u) - 2*o(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/3 + 286*n\/3 + 3509 = 0. Calculate n.\nAnswer: -33, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 12. Suppose -23*h + 198 = -17*h. What is the least common multiple of h and p(-6)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**12\/((u**24\/u*u)\/u))\/((u\/(u\/(u\/(u*u*(u**(-1\/18)\/u*u)\/u*u)*u)*u))\/(u**(1\/12)\/u)))**(-11\/4) assuming u is positive.\nAnswer: u**(4345\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1944 and 4131?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 36702*n**2 + 112216356*n + 224579544.\nAnswer: 3*(n - 6118)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -106*m + 742. Determine h(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 21*a**2 - 7*a + 156. What is r(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10\/(v\/v**0*v*v)*((v\/(v*v**(-1)))\/v)**(-33) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**6 + 0 + 5\/6*w**4 - 4*w + 0*w**2 + 0*w**5 + 0*w**3 - 1\/21*w**7. Find the third derivative of c(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*u - 20 = 0, 5*v = -6*u + 2*u + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151592627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -59, -88, -117, -146, -175?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/((u**(-19)*u)\/u)))**(-1\/19) assuming u is positive.\nAnswer: u**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/80 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 - 28*p**2 + 8 - 9*p + 10*p**2 + 9*p**2 + 0*p. Determine s(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48022608 and 48?\nAnswer: 48022608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 27. Let u(j) = j + 13. Let t(m) = 2*l(m) + 5*u(m). Determine t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - -0.65. Let n = a + 0.05. What is the second smallest value in n, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**1)**(-27)*(w**1)**(-25))**24 assuming w is positive.\nAnswer: w**(-1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 975298*-14\nAnswer: -13654172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 1:10 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000347577 rounded to seven dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -1\/96*t**4 + 0*t**2 + t + 0 + 0*t**3. Factor k(u).\nAnswer: -u**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 38, 0, -64, -160, -294, -472?\n\"Answer: -z**3 - 4*z**2 + z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 38 = -67 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.59 - -23.6. Let b = y - 1. Let s be ((-1)\/7)\/(-3 + (-14)\/(-4)). What is the second smallest value in b, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Let y = -0.4 + 0.44. Let l = y - 1.04. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512575363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r - 1. Let p(z) = -z**2 - 26*z + 32. Let l be p(-27). Let d(f) = -7*f**2 + 6*f + 4. Let c(w) = l*g(w) - d(w). Is c(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 33. Suppose l*w - 1471 = 986. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19 + 6 + 30 + h**2. Let x be z(0). Let b(a) = -882352*a - 16. Let s be b(x). What is s rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.3 (b) -0.07 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 2 in increasing order.\nAnswer: -18, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/15745 and 37\/752.\nAnswer: 251920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 + 4*d + 1. Let p = 44 - 47. Give j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227.9576 + 0.0424. Let a = y - -268. Let p = a + -496.00383. What is p rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 72*u - 108. Let y be v(-36). Let l be (-6)\/y*-4 + 20\/9. Solve -l*h = -h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67767 and 7791.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1804, -4, 50 in ascending order.\nAnswer: -4, 50, 1804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698435?\nAnswer: 5, 539687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 11*f + 14. Let p be q(4). Let b be (-10)\/15 + (-58)\/(-6). Let k = b + -9. Solve h + 4*x = -7, 3*x + 7 + p = k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 316*g + 1733. Calculate c(90).\nAnswer: -2407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483988 is divided by 1198.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**4 + 4*k**2 - 5*k**2 + 5*k**4 + (-4 - k + 4)*(-2*k**3 + 4*k**3 - 3*k**3) + 22*k**4 + 7*k**4 - k**4 + 0*k**4 - k**4 + 3*k**4.\nAnswer: 30*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 23 = 8 - 15 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4\/7)*r**5*r*r**(-2)\/r**(-3\/4))\/((r**4*r*r**(-2\/13))\/((r\/(r**(2\/9)\/r*r))\/r**(4\/3))) assuming r is positive.\nAnswer: r**(3013\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 289*a**2*r + 5*a**2 + 21*a + 67*r wrt a.\nAnswer: 578*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*t + 12, -3*l - 225 + 341 = -13*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x. Suppose -650 = -5*d - 5*u, x*u = -4*u - 4. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 11. Let d(b) = 2*b - 6. Let n(a) = 6*c(a) - 11*d(a). Let f(t) be the second derivative of t**4\/6 + t. Give n(f(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/270)\/((-2)\/(-4))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:47 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17430*v + 1511677*v + 685906*v.\nAnswer: 2215013*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -a - t, -a + 4*t = 6. Suppose 5*z - 13 = -3*o, -4 = -2*o - 4*z + a. What is the remainder when 32 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 3*s + 1. Calculate o(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (-73)\/(-3))*132\/20\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17727617681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 22516 = 100. Is 67 a factor of (t\/9)\/(-3 + (-21)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 times 0.3\nAnswer: 57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*s - 3*b, -5*s - 2*b + 29 = b. Let n be (-134)\/(-26) + s\/(-26). Is (n\/(-2))\/5*-254 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 38. What is the tens digit of (-1)\/a - 820\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 0*c + 0*c + 1. Let r be u(3). Is 186\/r - (-3)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2670 + 132646?\nAnswer: 135536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/((-957)\/58))\/(3\/(-2))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -540 - -543. Suppose u = -3*x - 10, -u - 5 = 4*x + 6. Sort 5, u, j in increasing order.\nAnswer: u, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 257*w**2 - 565*w - 198. Is x(-127) a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -4\/1797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away 1.4698?\nAnswer: -1.3598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 370?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 764.456 kilometers?\nAnswer: 764456000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f**2 + f + 3. Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -64, -125, -224, -373?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j**3)*(-2*j - 1 + 1) + (-6*j**2 + 2*j**2 + 3*j**2)*(3*j**2 + 3 - 3) + (-6*j**2 + 2*j**2 + 3*j**2)*(j - 2*j**2 - j).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -563 + 573. Let m(o) = 16*o. Let d be m(1). Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 15 = 5*b, 127*g + 14 = 124*g + 2*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 21, 0, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*s = -115, 2*p = s + 6 + 39. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 452530 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 57*u - 56*u - 4*r, 5*r = 30. Calculate the smallest common multiple of u and 216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 23. Let y be q(-6). Sort y, -2, 5.\nAnswer: -2, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3*u - 11)*(u**4 + 0*u**2 - 51*u**2 + u**4 + (7*u**2 - 4*u**2 - u**2)*(u**2 - u**2 + 2*u**2) + 2*u**4 - 7*u**4 + 4*u**4).\nAnswer: 15*u**5 - 153*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -3 + 3 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let n = 15\/14 - 283\/238. Let m = -18 + 16. What is the smallest value in y, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/120 + 3*b**5\/20 + 23*b**4\/24 - 7*b**3\/6 - 21*b**2. Let k be d(11). Solve -k*a + a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, t: 5, u: 4}. What is prob of sequence tjtt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 270, 309, 348, 387, 426, 465?\n\"Answer: 39*o + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 13*f**3\/3 - 9*f**2\/2 + 11*f - 1125. Let m(z) = -7*z**2 + 5*z - 6. What is 7*m(k) + 4*v(k)?\nAnswer: 3*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Suppose 0 = -3*i + 5*w + 33000005, i - 4*w - 11000002 = -a*w. Round i to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43254941 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 7186, -20, 5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49878295.\nAnswer: 5, 379, 26321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 676.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:37 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*b + 36, 0*n + 2*b = -5*n - 180. Let i = 60 + n. Suppose -2*l + 0*l + i = 4*z, 12 = 3*z. Solve 29 = 5*a + l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v**(-2)*v*v)*v))**(4\/7))**14 assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(11\/4)\/(j*j**1\/j)*j**(-12)\/(j\/(j*j**(-2\/43))) assuming j is positive.\nAnswer: j**(-1771\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46039 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*(-70)\/3. Let j = 40 + -20. Let h = q - j. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q - 51. Calculate the remainder when 65 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(3) + 0) + (sqrt(3) + 0)**2 + -2 + -2.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0*s**4 + s + 5\/2*s**2 + 0 + 0*s**3 - 1\/4*s**5. Differentiate z(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1221*d + 15*d**2 - 27*d**3 - 1221*d - 15*d**2.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by -8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose -l*r + 20 = -13. Let d = 29 + -18. Calculate the smallest common multiple of d and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 + 2*h**2 + 2*h - 2. Let j(k) = -k**3. Calculate 6*j(c) - m(c).\nAnswer: -c**3 - 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -18. Let u be ((-32)\/10 - -2)\/((-2)\/w). Differentiate -23*k**4 + u - k**4 + 3 + 5 with respect to k.\nAnswer: -96*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 3. Let a(k) = k**2 - 2*k - 4*k - k**3 - k**2 - 7. What is 2*a(z) + 5*y(z)?\nAnswer: -2*z**3 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 - -69?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*n**5 - n**2 + 105*n wrt n?\nAnswer: -1620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 18*s + 3. Put s, -3, -5 in decreasing order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 8*r**3 + 11 - 20*r**3.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6028759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 9*i = 3*v - 4004, -6666 = -5*v + 3*i. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 12 + 15 - 2*s)*(-23*s**4 - 21*s**4 + 11*s**4).\nAnswer: 66*s**5 - 858*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 8:51 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 63620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 311506 and 5952.\nAnswer: 927041856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29409 + 29409.40638. Round a to two dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 18*k + 35 = 0. Let w(a) = -7*a**2 + 0*a**3 - 8 + a**3 + 0*a**3 + 2*a. Is 3 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icccoocccc. What is prob of sequence co?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44175, 43949, 43703, 43431, 43127, 42785?\nAnswer: 42399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*a + 2)*(1 - 1 - 4) + 6345 - 6345 - 175*a.\nAnswer: -167*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = 2*n, -b - 3 = -n - 2. Suppose -5*p + 5*m = -138 - 592, b = -p - 3*m + 162. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i*p + 113*i - 2671*p wrt i?\nAnswer: 8*p + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.6, 0.1, -37, 0.5 in descending order.\nAnswer: 0.5, 0.1, -0.6, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0 - 1)*1047\/3. What is k rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.54457284 to 3 dps.\nAnswer: 2.545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - 42\/(-3) - -464. Suppose 5*f - j - 3 = 0. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*s + 13. Let b be (48\/54)\/(-4) - (-29)\/s. Solve 5*n + 3*t = 17 + 4, -4*n - b*t + 18 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4456075*j**3*o - 198*j**2*o - 72*j**2 - 21*j*o wrt j?\nAnswer: -26736450*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - -6*sqrt(252)*1) + sqrt(252) + sqrt(252) - sqrt(252))\/(sqrt(45)\/sqrt(80)) + -3.\nAnswer: -3 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyyyydyyyyy. What is prob of sequence ddyy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 15)*(-1)\/3 + 2. Suppose -1175 = f*n - 10*n. Round n to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 12:12 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 323 * -0.2.\nAnswer: -64.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014177 to the power of 1\/2, to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*o + 13, -49*c + 53*c = -5*o - 2. Which is smaller: c or -17\/5?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 682 and 155.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75554725.\nAnswer: 5, 3022189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let u = -812156\/6955 + 1518\/13. Let r = -1096\/6955 - u. Put 2\/35, r, 3, b in ascending order.\nAnswer: b, r, 2\/35, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -65, -182, -357, -596, -905, -1290?\n\"Answer: -s**3 - 20*s**2 + 2*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - n + 250, -4*n = -8 - 0. Suppose -360 = 7*z - 2*z. Let w = z - j. Calculate the highest common divisor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71303755?\nAnswer: 5, 179, 79669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 6 = 2*n. Let l be 0\/2 - n\/(-51). Suppose -5*c - 24 - 1 = 0. Sort 0.4, c, l in increasing order.\nAnswer: c, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 2*j + 10. Let f be l(2). Suppose 0 = -2*p + f*w + 70, 5*w = 1 - 6. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14\/(z**12\/z)*z*z**(-1\/18)*z*z*z**(3\/5) assuming z is positive.\nAnswer: z**(589\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1887, -1 in decreasing order.\nAnswer: 1887, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - -3610. What are the prime factors of t?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 - 1\/(-2). Suppose 5*h + l = -4*l - 10, -5*h + 5*l + 10 = q. Suppose h = -2*c + 5*c - 27. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, v: 4, f: 2}. Give prob of picking 2 p.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 + 192*t + 3260. Determine c(-15).\nAnswer: 1955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + 2\/8*-2. Let n = -165 - -275. Let l be n\/35 + 2\/(-14). What is the third smallest value in i, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34087\/7 - 4870. Let i = 73991\/22 - 3364. Let l = i + 3\/11. Is l at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from hjhhhlhhhjhlhhh?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -616581.96 to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145237 and 1429667?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**6*s))\/s*((s*s\/((s*s*s\/s**(4\/9))\/s*s)*s)\/s*s)\/s*(s\/s**(-1\/3))\/s*s**(5\/3) assuming s is positive.\nAnswer: s**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = 5. Let s(w) be the first derivative of w**4\/4 - w**3\/3 - 7*w**2\/2 + 12*w - 39. Does 7 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691750 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -1 (c) 412 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -76. Let n(v) = -6*v**3 - 5*v - 5. Let j(l) be the second derivative of -21*l**5\/20 - 3*l**3 - 9*l**2 - 2*l. Calculate d*n(s) - 5*j(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (6 - (7 + 2)). Find the third derivative of -73*y - 33*y**6 + 76*y - 2*y**2 + 96*y**6 - 10*y**f wrt y.\nAnswer: 7560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210857 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:33 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 27*k + 1320 = 0. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:20 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4859*y**2 - 321*y + 1?\nAnswer: 9718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3642237.9 minutes?\nAnswer: 2529.331875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*g + 40 = 4*k, -4*k - g = -17. Suppose c + 4*c + 4*t = 0, 5*c = -k*t. Solve 5*z + c*z + 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 + -1?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000301918 to 6 dps.\nAnswer: 0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 2002*q**2\/9 + 327184*q\/9 + 93574624\/9.\nAnswer: 2*(q - 572)**2*(q + 143)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*v + 288, 3*a - 8*a - 5*v + 290 = 0. Let n(o) = -o + 1. Let x be n(-3). Suppose -x*z = 16 - a. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 26357.748.\nAnswer: -7907.3244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*15*(-8)\/(-6). Let p = 194 + -54. What is the greatest common factor of p and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3940000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010110011 (base 2) to base 14.\nAnswer: -61d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -5)*3\/(-6). Solve -7 = 5*i - 3*x, i + i - 5*x = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/110)\/(3\/(-8))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502 and 3263?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 19*i - 377 + 776 + 8*i**2 - 387.\nAnswer: (i + 1)*(i + 3)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 8*i. Calculate the remainder when 4 + i - (1 + -20) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348779*i + 697552*i - 348766*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/(55\/440)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = z - 2*z. Let w = -824\/7 + z. Let v = -0.5 + 0.1. Which is the biggest value? (a) v (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 3*h + 8, h = -3*g + 2. Solve -z = 4*z - 4*w - 8, -g*z + 14 = 2*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*p - 26, -5*p - 2*v + 730 - 770 = 2*v - 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -51, -8\/291?\nAnswer: -8\/291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 44 = -2*s. Let m = s - 7. Is m\/(-6)*-4*12 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**8\/4032 - 2*n**5\/15 - 8*n**2. Let j(u) be the third derivative of y(u). Let q(g) = -2*g**2. What is q(j(h))?\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000727547198 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1124, 2250, 3376, 4502, 5628?\nAnswer: 6754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1280)*6)\/(3*sqrt(484)))**2.\nAnswer: 1280\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.924 + 33. Round z to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = 0, b + 4*b - 3*k = 102. Let n(w) = -w**3 - 80*w**2 + 434*w + 838. What is the remainder when n(-85) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -1.97. Let m = k + 6. Which is the nearest to -0.1? (a) 0.1 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/1*2\/16)\/(30\/(-240))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2)*(-7)\/1. Let n be (f + -6)*(0 - 0). What is the closest to n in -0.4, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -66*d - 31. Let q be u(-1). Sort -8, q, 8\/3, -5 in increasing order.\nAnswer: -8, -5, 8\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**4\/12 + 9*h**2. Let r(q) = 6*q. Give s(r(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 1647.\nAnswer: 1646.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**5 - 6 - 1\/2*t**6 + 0*t + 3\/2*t**2 + 0*t**4 + 0*t**3. Find the second derivative of f(p) wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**3 - 259*q**3 - 124*q**3.\nAnswer: -355*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 243544736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 5*m**4\/24 - 1540*m**2. Let g = 12 - -3. Let b = -12 + g. Give q(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n**2 - 4*n - 1. Suppose 5*j = 106 + 19. Let o = -23 + j. Is f(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -401 (c) -4658\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -548575\nAnswer: -1\/109715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 282 = -354. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -11*l**4\/24 + 11*l**3\/3 - 28*l**2. Let h be c(2). Solve -i + 0 + 4 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = -5 - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = -6. Suppose m*c = 4*l - 521 - 599, 0 = 4*l + 3*c - 1130. List the prime factors of l.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 3\/9 + -4. Let k(d) = 86*d + 10. Let g be k(-1). Let c = g + 68. What is the second biggest value in x, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j**4 - 20*j**3 + 5*j**2 + 3*j + 6. Let m(h) = -11*h**4 + 20*h**3 - 5*h**2 - 4*h - 8. Let x(o) = -3*m(o) - 4*z(o). Factor x(u).\nAnswer: -5*u**2*(u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k - 5. Solve 3*q = -g - k, -q = 4*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 1\/11 (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28642073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 11 + 29. Suppose z + 4*j = -16, -3*z + v*z - j - 4 = 0. Solve z = -5*f + 14 - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksnak. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 80902, -117 in decreasing order.\nAnswer: 80902, 8, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 27*f + 2962. Let r(m) = 57*m**2. Calculate s(r(h)).\nAnswer: 1539*h**2 + 2962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:35 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*r - 125, -2 = 4*r - 5*r. Let u = p + -27. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1538\/3 + -10501\/6. Let t = 1276 + c. Find the common denominator of 26\/7 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -36. Let a = 33 - t. Let g = a - -41. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, -3, -2, 677613 in descending order.\nAnswer: 677613, -2, -3, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + f**2 - 106*f**2 - 10*f**3 - 168*f**2 - 16*f**3 + 30*f**3.\nAnswer: f**3 - 273*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 13*i**2 + 15*i - 20. Let s be r(14). Which is the third smallest value? (a) -2\/13 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 35968*v + 1626660.\nAnswer: -4*(v - 45)*(v + 9037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217 or -215?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b**2 - b**2. Suppose 46 - 22 = 4*j. Let f(m) = 3*m**2 + 9*m**2 - j*m**2. Determine f(y(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3009 + -27083\/9. Which is the nearest to -1? (a) -19 (b) 1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**3 - 3*f**3 - 3*f**3)*(64*f - 37 - 3*f + 39) to the form u*f**3 + z + s*f**4 + b*f**2 + r*f and give s.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/93 - 14\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, 4, 5.4 in ascending order.\nAnswer: -0.34, 4, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 28697*t - 12024052. Determine j(419).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611567?\nAnswer: 11, 53, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/16 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10001110111?\nAnswer: -10001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136*v**4 + 2*v**3 + 10*v**2 + 24846*v?\nAnswer: -1632*v**2 + 12*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-3 + sqrt(847) + 1 - sqrt(847)) + 2*(sqrt(847) + 1) + sqrt(847)))**2 - -1*(0 + (sqrt(847)*-1*-3)**2).\nAnswer: 15246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 2. Let p(r) = 2*r - 2. Let j(l) be the third derivative of -l**4\/24 + l**3\/6 - 5*l**2. What is b*p(q) + 5*j(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j - 20. Let f be c(8). Solve -4*u + 3*w = -0*u - 28, 4*u = -f*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15340486585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 183.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11555*n = 11364*n + 99859 + 582761 - 155483 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 48*q**2 - 20679*q + 16763. Determine u(430).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1865060 divided by 466265.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 7934, 2\/3?\nAnswer: 7934","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 635 or 4442\/7?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 4*f. Let j be -1*2 - 4\/4. Let i be k(j). Suppose u - 8 = -2*m, m + i*u - 18 = -3*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {w: 1, p: 3, y: 3, e: 2, h: 4, x: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+68.394\nAnswer: 68.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412 and 112272?\nAnswer: 11564016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 10*d**2 + 25*d - 4. Suppose -o + 5 = v + 4, -3*v = 4*o - 6. Let f be c(o). Solve -4 - 4 = f*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = 13. Let f(g) = g**2 + 6*g + 11. Let c be f(l). Solve 5*r - 4*u - 29 = c, -2*u - 5 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1000120000?\nAnswer: -1000112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + g)*(-27 + 94 + 38).\nAnswer: 315*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -103882, -103890, -103904, -103924, -103950?\n\"Answer: -3*b**2 + b - 103880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2766 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, a: 1}. Give prob of sequence ab.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtsshshhhthhtthoo. Give prob of picking 1 o and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-375))\/(1 + 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -48 - 38 - -22.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba0 (base 15) to base 2.\nAnswer: 101001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2730 and 819.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 4965\nAnswer: -23\/4965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -121212120210201122?\nAnswer: 121212120210201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14533 is divided by 7220?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 48792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -666071008\/263131057 + -2\/5935287. Let c = -14\/57 - i. Is 2 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*y**3 + 8)*(2*y - 4*y + 0*y) - 2*y**4 + 18*y**4 + 57*y**4.\nAnswer: 61*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-1218)\/1856 - 169\/(-4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7510 and 71\/5910.\nAnswer: 4438410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1234 + 141 = u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(11\/5 + 0). Let m = 173\/132 - j. Calculate the common denominator of -17\/22 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 238 + 713. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*u + 82*u + 12. What is the greatest common divisor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693918.\nAnswer: 2, 401, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12930, -12932, -12944, -12972, -13022?\n\"Answer: -z**3 + z**2 + 2*z - 12932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 444130*r - 2220625.\nAnswer: -(r + 5)*(r + 444125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9 - ((-21)\/18 - (-5)\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 5, b: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*f = 44, -5343*h = -5339*h + 4*f + 8 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((8\/(-280))\/1)\/((-5)\/35)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 3*h**2 - 8*h + 3. Let r(u) = 2*u**3 - 4*u**2 + 12*u - 5. Let n(o) = 3*r(o) + 5*v(o). What is n(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 - 3*l + 4. Let k be q(2). Suppose -3*m + 0 = -k. Suppose 3*y - m = 2. Solve 3*w = -3*h - 15, -w + 5*h = y*w + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 204906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y - 151. Let u be m(19). Which is bigger: 11\/23 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1173 - -395?\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -21*j + 8. Let w be f(-6). Suppose -4*p + 206 = -w. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/104 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 287692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527067 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-348)\/36)\/((-6)\/18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**9*p**10*p)\/(p**(2\/9)*p\/(p*p\/(p**(-5\/7)*p*p))*p))**(-1\/7) assuming p is positive.\nAnswer: p**(-1165\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34305 - -132201?\nAnswer: 53452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2) - -1 - 781\/(-1562).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -58*k - 126. Give l(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3938, 3928, 3916, 3902, 3886, 3868, 3848?\nAnswer: 3826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -15. What is the remainder when -8 + 7 - 1*-120 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i - 60. Let h be (1 - i\/5) + 2. What is the third biggest value in h, 1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-1*sqrt(3) + sqrt(3)))*-3 - sqrt(3) - sqrt(3) - (sqrt(432) + sqrt(432) + 2).\nAnswer: -29*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 58095?\nAnswer: -8\/6455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2320, 9377, 21176, 37747, 59120, 85325, 116392, 152351?\n\"Answer: 5*o**3 + 2341*o**2 - o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -66. Suppose -78 = 22*w - 35*w. Calculate the remainder when y is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 8 - -11 - -5 - (-60 - 8).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130458569 to the nearest integer?\nAnswer: 11422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 16*h**2 + 40*h**2 - 21476*h + 21474*h.\nAnswer: 56*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8\/m**(-1\/3)*(m*m**3\/m*m*m*m*m)**(2\/11) assuming m is positive.\nAnswer: m**(317\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22*6446\/2344.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 22*c + 27. Let i = -58 + 37. Let g be t(i). Is (2\/2)\/3 + 2656\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13101?\nAnswer: 3, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 4 - 7\/(-2). Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((0\/2)\/1)\/2)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72817 times 1767\nAnswer: -128667639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 791*d**2 - 5494*d - 4704.\nAnswer: -(d + 1)*(d + 6)*(d + 784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 70 = 67 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30400 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1068*i*s*w**3 + i*s*w**2 - 2*i*s*w - 3*i - 2344*s*w**2 + s*w + w - 238802 wrt w.\nAnswer: -6408*i*s*w + 2*i*s - 4688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 117. Let f be j(20). Solve 5 = -f*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012038399 rounded to 6 decimal places?\nAnswer: 0.001204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-702)\/(-24))\/((-2)\/32*-6). What is the units digit of -2 + w + -5 + 11 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -3\/4 (c) -0.2 (d) 3\/2 (e) 0.1362\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 73, 105, 123, 121, 93?\n\"Answer: -m**3 + 2*m**2 + 41*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13698*v**5 + v**4 - 4*v**3 + 5*v**2 - 5*v - 2484 wrt v?\nAnswer: -821880*v**2 + 24*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13118 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 2*i - 3*i)*(-2 + 2 + 3*i) + (-46*i + 35*i + 108*i)*(-2*i - i + i) + (0 + 2*i - i + 1)*(2*i + 1 - 1).\nAnswer: -189*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -362. What are the prime factors of p?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3319, -2\/11, 0.3, -0.1 in decreasing order.\nAnswer: 3319, 0.3, -0.1, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -176*k + 168*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 4*c - 4, 2*c + 2 = 3*q. Suppose q*h = 4*h. Is ((-12)\/(-1))\/(h + 1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 + 40*j - 84 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y. Let p(z) = -2392*z. Determine p(r(q)).\nAnswer: 7176*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-6156)\/(-441) - ((-17765)\/(-539) + 1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-140) - 2\/7)*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) + ((sqrt(832) + -2 - sqrt(832)) + sqrt(832) + -3 - sqrt(832)) + sqrt(832) - sqrt(832)) + -1)*-2 + -4 + (sqrt(832) + -2)*-6*-6)**2*6.\nAnswer: -208896*sqrt(13) + 5795328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119)*-6)\/sqrt(7) + ((sqrt(2448) - (sqrt(2448) + 1)) + sqrt(2448))*-2 + -4)**2*-1.\nAnswer: -15304 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(77)*-5)\/(1*sqrt(176)*3).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - -69) + -10 - (-1 - (-6 - -12))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/6 + 3*c**2\/2 - 2*c. Suppose 0 = -6*i + 5*i + 18. Calculate the lowest common multiple of a(-3) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 874911*m**2 - 191366877024*m + 191367751936 = 0. Calculate m.\nAnswer: -437456, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0678 + 311.0678. Let l = -307 + q. Which is the third smallest value? (a) -6 (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l - 6*l**3 - 6*l**3 + 5*l**3. Suppose 51 + 706 - 37 = -180*i. Let v(s) = 15*s**3 + 13*s. Give i*v(z) - 9*w(z).\nAnswer: 3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.03 (b) -2 (c) -18 (d) 1\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2735 times -664?\nAnswer: 1816040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2700) + 1)*6)**2*-3.\nAnswer: -583416 - 12960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-5 - 27\/(-6))*(-1604 + 12) and 22.\nAnswer: 8756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 47. Let b be 4\/14 + 32\/(-210). What is the third smallest value in b, -0.5, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38733502021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092 = 99*c + 11*c - 26*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 207*t + 12 - 206*t - 2.\nAnswer: t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.006*-5.\nAnswer: 25.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((-48)\/(-30))\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -29. Let o = -1.09 - v. Let g = o + 0.29. What is the second smallest value in g, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - a - 3*a)*(1 + 0 - 3)*(5*a - a - 2*a)*(-3 - 1 + 3 + (1 + 2 - 5)*(-1 + 3 - 4)) in the form b + s*a + o*a**2 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 2*s**6\/45 + 2*s**5\/5 + 4*s**4\/9 - 4*s**3\/3 - 10*s**2\/3 - 11*s - 5. Factor b(x).\nAnswer: 4*(x - 1)*(x + 1)**2*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 901\/289 + (-1)\/17*2. List the prime factors of u - (-2 + 3 - (6 - -466)).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/90 - s**3\/3 - 2*s**2. Let p(b) be the first derivative of m(b). Let w(c) = 2*c. Give w(p(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -151550166?\nAnswer: -151550153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2464 and 16254?\nAnswer: 2860704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 79 = -r, -2*r - u - 90 = 68. Let x = r - -136. Suppose -5*q = -z + x, 2*q - 3*q = -5*z + 261. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 2. Let l(w) = w - 1. Let t(j) = -3*f(j) + 2*l(j). Let k be t(-5). Let m be (k\/6)\/(9\/12). What is the smallest value in m, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 4. Let o(a) = 10*a + 4. Let b(w) = -4*w - 2. Let y(p) = 7*b(p) + 3*o(p). Determine -4*j(n) + 7*y(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91769545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y + 3. Let b be -1 + 1 - 5\/1. Is f(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 216 = -9*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28608 and -2?\nAnswer: -57216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 - 114\/(-42). Suppose 2*g - z = 3, 6*z + 5 = 2*g + q*z. Let j be (18*g)\/3*3. What is the highest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3685 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44402*-30.\nAnswer: 1332060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/30)\/((-452)\/565)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 3*g + 2. Let i(k) = 5*k**2 + 5*k - 3. Let q(s) = -2*i(s) - 5*v(s). Calculate the remainder when q(-3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + 5 + sqrt(119)\/(sqrt(7) + sqrt(7)*2).\nAnswer: 5 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5484373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 2. Suppose -d + 1 = o, 6*d - d = 3*o - 19. Let r(l) = -3 + 2 + 3*l + l. Give d*q(x) - 3*r(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036*-0.08.\nAnswer: -0.00288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 9\/((-72)\/16) + 103 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/10*70\/(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -j - 12*f, -8 = -j - f. Suppose -6 = -2*a + 4*o, -12 = -3*a + o + j. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 43 + 16)*(2*d - 4*d + 3*d) + 2 - 2 + 3*d + (-1 + 2 + 0)*(-3*d + 2*d + 3*d) in the form x + g*d and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77.1, 0.7, -0.128, -2 in decreasing order.\nAnswer: 0.7, -0.128, -2, -77.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2064 and 43\/33.\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2)\/(-4)*25\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 60*f**2 + 23*f - 4. Let m(q) = -3*q**3 - 191*q**2 - 68*q + 11. Let n(s) = -13*l(s) - 4*m(s). Determine n(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -7, 18, 2.\nAnswer: -7, 2, 18, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {j: 7, b: 3, u: 3}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {f: 3, p: 1, x: 2, d: 1, w: 5, n: 1}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5238 + 502835\/96. Find the common denominator of p and 1\/(-5) - ((-29638)\/(-360))\/(-29).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12538*s. Let w(o) = 121*o. Determine w(b(g)).\nAnswer: 1517098*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*k*n**3 - 369*k - 2*n**3 - 7*n**2 - 2*n wrt n?\nAnswer: 66*k*n - 12*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.1 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 - 15612\/37. Let c be 30\/20 - 2\/12. Sort 2\/11, -0.1, c, z in descending order.\nAnswer: c, 2\/11, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 12*z + 82 = i, 34*i - 190 = -21*i - 5*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76610638*x**3 - 82994685*x.\nAnswer: -459663828*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 1, v: 7, b: 2}. What is prob of sequence qqi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**2 - 23*l**2 - 22*l**3.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvgbnnpav. What is prob of picking 1 v and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 61621534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 5. Let s(v) = 3*v**2 + 10*v - 5. Let o(p) = 2*m(p) + s(p). Determine o(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(275) - (0 + sqrt(275) + 5) - (sqrt(275) + -4*sqrt(275)*-2)) + 6*1*sqrt(275)*-3*6)**2.\nAnswer: 7020*sqrt(11) + 3764511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(3 + -3). Let l be (a - -20)*(2 - 1). Suppose 0 = -o + l - 4. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -762.2 or -3?\nAnswer: -762.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-308)\/(-10))\/(-3 + (-3016)\/(-1000)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j - 2*j + (-2 - 2*j + 2)*(0 - 3 + 4) + 0 + 0 - 2*j + 2*j - 3 + 3 - 2*j + j - j + 2*j + 0 + 0 - 1 - 3*j + 1 - 3 + 3 + j - 44*j + 3*j - 34*j.\nAnswer: -81*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y**(2\/13)*(y*y\/(y*y**7))\/(y**6\/y))**(3\/7))**(7\/9) assuming y is positive.\nAnswer: y**(-70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -5, -38, -97, -188, -317, -490?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 9 + 12 + 9 + c**2 as k*c + h*c**2 + g and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/101, -3\/16022, -0.3?\nAnswer: -3\/16022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 1.84?\nAnswer: -0.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23335805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -16*s**3 - 6*s**2 + 6*s + 5. Suppose -k = -3*k - 2. Let a(r) = r**2 - r + 1. Let o(j) = k*w(j) - 6*a(j). What is the first derivative of o(x) wrt x?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from {y: 3, z: 2, h: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {w: 1, n: 1, m: 1, x: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. Is o at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*r + o, -372 = -5*r - o - 440. Let b(q) = 9*q - 28. Give b(r).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3921309 and 2814.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*i = 11, h = -4*i - 4 + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8485.3768 to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2904022 and -0.08.\nAnswer: 232321.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5467000489.\nAnswer: 5467000489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5650963499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9867 and 156078?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - (1 + 1)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 21*r = -4*t + 2, -3*r - 5*t - 11 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 267*o**2 - 14*o. Let d be y(-6). Let s = d - 38996. Round s to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.2. Suppose 4*p - 4 = -0. What is the biggest value in u, p, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -27 (c) -33 (d) -5 (e) 0.5 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 89 + -18 + (303\/3)\/1\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*j + 60 + 42, -g + 14 = j. Suppose -462 = g*y - 21*y. Let q = y - 48. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-471)\/(-9) + 1*1\/(-3). Let z be ((-6)\/(-4))\/((-39)\/i). What is the closest to z in 1, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 26. Let q be h(-10). Let u = q + -32. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72460? (a) -0.04 (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (15 + 22)) + (3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1140018 and 830346.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 + -160. Let p be (-2 - (-24)\/10)*5. Let u be p\/(-10)*-1 + 0. Sort o, u, 1\/4 in ascending order.\nAnswer: u, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 517435 + -106784. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 2*p**7\/105 + p**5\/12 - 7*p**2. What is the third derivative of q(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -15912*o - 963. What is the thousands digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/99 and 4\/121.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114625662 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -897 - -1045. Let m = -153 + i. Let j = 39 + -116\/3. Which is the closest to j? (a) 0.5 (b) 2\/11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*6 + sqrt(30)\/(sqrt(20)\/sqrt(2)).\nAnswer: 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 695*l - 4919. Give j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15593047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -155. Let v be (-2 - (-2)\/2)\/((-28)\/56). Solve -2*p = 2*o + v, y = -3*o - 4*p - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/8694)\/((-116)\/261)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 3*a + 12 = -30*v, 0 = v - 4*a + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 28 + 4 = 0, -7*t = -12*t - l + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322213.\nAnswer: 322213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*p**2 - 9811*p wrt p?\nAnswer: -1240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 13 - 9 = -4*d, -23 = -2*d + 5*s. Let n(m) = m + 6. Suppose 0 = 3*u + 9 + 3. Let v be n(u). Sort v, d, -2.\nAnswer: -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.054, 8, 0.4, -1, -4\/5, -100?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389887 - 4*j**3 + 389887.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 + 3*u + 4. What is k(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105\/2*b + 33\/2*b**2 + 75\/2 + 3\/2*b**3 = 0. What is b?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*n - 1613 - 867 = 1270 + 2458 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-2\/51)*(b\/(b\/((((b**(-1\/2)*b)\/b)\/b)\/b)))\/(b*b*((b\/(b\/(b\/(b*b\/b**(-2\/17)*b*b))*b*b)*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(67\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = d - 3, 2582 = 2*d + 2580 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 + 5*s + 7. Let d be y(3). Let l(p) = p**2 - 7*p + 3 - 3*p**2 + p**3 + 3. Let c be l(d). Which is smaller: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2227 = -5*o - 537. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c + 2*c)*(2*c - 2*c - 2*c) + (-3*c + 0*c + c)*(-155 + 155 - 73*c) in the form t + r*c + f*c**2 and give f.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*s + 24168, 500*d - 502*d - 16110 = -2*s. List the prime factors of s.\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43183 is divided by 7128.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 + -10?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6575.9 - 7164. Let x = -588 - y. Is x greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 3*h**3 + 0.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4 + 0 - 2 - 8 + 7. Let w(r) = 2*r + 3. Calculate 2*c(l) - w(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -578016872 and -3.\nAnswer: -578016875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 - f**4 + 4*f**4 - 2299*f**2 + 2299*f**2 - 129*f**4 + (0*f**3 + 0*f**3 + 2*f**3)*(2 - 2 + 2*f) as z*f**2 + y + u*f**4 + m*f + o*f**3 and give u.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -286462205 and 4?\nAnswer: 286462209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/((-105)\/4))\/(-1))\/((-24)\/56)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 7.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1929 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 + 3*t - 2. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*d - 0*c + 10, 2*c = -d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Suppose -g*w - 2*o + 4 = -8, 3*w - o + 2 = 0. What is the remainder when 3 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(15)\/sqrt(5)) + -2*sqrt(42)\/sqrt(3))\/(sqrt(24)\/(sqrt(192)*3 + sqrt(192))).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 21*l - 96. Let z be f(6). Let k be 3 - (z\/(-9) + -1). Which is the third smallest value? (a) -4 (b) 4\/3 (c) 1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -897069 (c) 2\/11 (d) -33\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -1\/117?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38058 - 38270 = -29*p. Suppose -5*y + u + 4101 = -297, -p = -3*y + 4*u. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 13. Let l(v) = -2*v + 15. What is -6*l(x) - 7*q(x)?\nAnswer: -9*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(114)\/(sqrt(6)*-1) - (sqrt(1539) + -3*sqrt(1539) + 4))**2.\nAnswer: -170*sqrt(19) + 5516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3525 + 10579\/3. Let h(y) be the third derivative of 0 + o*y**3 + 0*y + 0*y**4 + 15*y**2 - 13\/30*y**5. Differentiate h(w) with respect to w.\nAnswer: -52*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38909\/34960 + -1\/2185. Calculate the common denominator of 39\/170 and g.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x - 6*x - 8*x - 6*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149688037 or -149688038?\nAnswer: -149688038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 10) to base 3\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 1, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 1, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/110 - (-282)\/(-25850)*55.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19151 = -29*y + 61027. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/3*(-24)\/(-16). Let f = h - 11. Suppose 20 = f*g - 4*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 4\/22 + 359328\/10032?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than -282.7901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) 1\/6 (d) 36 (e) -2 (f) -33 (g) 1\/21\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 + 8*l**2 + 3*l - 3. Suppose 73*z - 351 = 14*z - 58*z. Give y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - a = j - 1233, 4*j - 990 = -2*a. List the prime factors of j.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-17))\/(t**(-17)\/t) assuming t is positive.\nAnswer: t**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -n - 2*n - 2*b, 0 = -2*b + 4. What is the remainder when 26 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315 divided by 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2581*-20.6.\nAnswer: 53168.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 680 + -465. Let o = f - 217. What is the second biggest value in -2\/3, o, 0.08?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**2 + 26*y**3 - 46*y**3 + 5*y**2 wrt y?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462105 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/10 - (-2)\/(-5). Solve 3*z + x = -0*p - p, 5*z = -p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-16))*932\/16. Suppose i = h + 128. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let g(f) = 745*f + 1. Let w(y) = -g(y) - 6*j(y). Let v be w(-4). Let c = -65023\/22 + v. What is the common denominator of -41\/14 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-526)\/(-5) - (10 + 392\/(-40)). Suppose -k = -38*l + 31*l. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 30*d - 116. Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273.3 - 406.6. Let c = z - -133. Let n = -21 + 7. What is the second biggest value in -0.1, -4, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 96515\nAnswer: -1\/96515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 smaller than -175\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 4*v**7\/7 - 22*v**6\/5 - 3381*v**5\/40 + 1811*v**4\/8 - 689*v**3\/4 + 231*v**2\/4 + 185*v - 1. Suppose u(f) = 0. What is f?\nAnswer: -7, 1\/4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 3*c - 2. Let d be (-8 + 260\/30)*(-162)\/(-4). Let n be d\/(-12)*(-40)\/(-30). What is z(n)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 6\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -517730292 divided by 17854\nAnswer: -28998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1.99.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 34. Let u be p(-12). Solve 3*n - 18 = 3*o, -2*n - 3*o + u = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13172 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 10*g**2 - 37*g + 30. Determine j(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h)**24\/(h**(-1\/4))**(-17) assuming h is positive.\nAnswer: h**(-401\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -152, -2296, -1\/6?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65530 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-4\/11)))\/b)\/(b\/(b**(-11)\/b)))\/(b**(3\/11)\/b*b**(-16)\/b) assuming b is positive.\nAnswer: b**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 296 (c) -3 (d) 0.68 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5123 - -3352. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a62 - 0?\nAnswer: a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1305675*g**3 - 250*g + 81*g + 86*g + 83*g.\nAnswer: 1305675*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f - 5*f**3)*(0*f**2 + 3*f**2 - 15*f**2).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 382044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/18)\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514 + -510. Solve -g*w + 4*m = -12, -35 = -w + 5*m - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1342 and 110858.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 + 43*i + 1. What is s(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 0*j + 4*j + 0*j - 3*j + (0 + 3 - 5)*(0*j - 2*j + j) + j - j + 2*j - 1 + 1 - j)*(2 + 1 + 0)*(-2163 + 1112 + 1102).\nAnswer: 306*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 167.51 and -0.3.\nAnswer: -50.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 2. Let o be m(2). Suppose v - 1 = -o. Let c(d) = -3*d + 17. Let w be c(4). Sort 4, v, w in decreasing order.\nAnswer: w, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -27, -8, 29, 90, 181, 308?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2283 (b) -3 (c) -0.12 (d) 68 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 55 + 21. Suppose -15 = -3*s, -4*s = 3*t + s - b. Let o be 26 + t*(-3 - -2). Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28207*r**4 + 1052*r - 10 wrt r.\nAnswer: -338484*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/8? (a) -5 (b) -1\/62 (c) -0.5 (d) -195\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 + 3*f - 13. Let i be p(-6). Solve -v - i = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/18318 and 3\/1633.\nAnswer: 421314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-135)\/(-36)). Solve 4\/5*d - c*d**2 - 2\/5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 0*q**3 - 2*q**3)*(-8*q - 7*q + 4*q) + 6*q**4 - 3*q**4 - q**4 - 4*q.\nAnswer: 24*q**4 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2978068 and 6.\nAnswer: -17868408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/((sqrt(120)*-1 + sqrt(120))\/sqrt(12) - sqrt(10)))**2*1 + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -29*g - 220 + 27*g + 16*g**2 + 220. Let z(s) = 495*s**2 - 63*s. What is 63*n(h) - 2*z(h)?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 31*c**2 + 2*c - 2. Let g(j) = -92*j**2 - 7*j + 7. Determine 2*g(d) + 7*l(d).\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -16.4, -2\/11, 2\/9?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79.19 - -79.19. Which is smaller: s or -1\/1325?\nAnswer: -1\/1325","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -2*f, 5*a + 7 = 22. Suppose f*b = 7*b - 55. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 5. Let n(h) = h - 6. Let v(o) = 5*k(o) - 4*n(o). Let b = -7 + 14. Suppose 2*i + 5*r = 19, 0 = -2*i + 7*i - r - b. Determine v(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46592)\/7280*15\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78821 or 0?\nAnswer: -78821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*b**3 - 2*b**2 + 12599*b - 7315826 wrt b.\nAnswer: -39*b**2 - 4*b + 12599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 2*t**2 - 4*t**2 + (-2*t + t - t)*(8574*t + 12296763 - 12296763) to i + f*t**2 + m*t and give f.\nAnswer: -17149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 252*t**2 - 2*t. Let l be w(-1). Suppose 4*k - 45 = 3*b - l, -4*b = -k - 296. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161, -414, -807, -1406, -2277, -3486, -5099, -7182?\n\"Answer: -11*d**3 - 4*d**2 - 164*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/15 - 13*r**5\/60 + 25*r**4\/3 + r**3\/3 - 941*r**2. Find the second derivative of o(l) wrt l.\nAnswer: -48*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 781579478.881 less than -3.8?\nAnswer: -781579482.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 694, 2094, 4202, 7018, 10542, 14774, 19714?\nAnswer: 25362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 - ((-1120)\/(-110) - 11). Suppose 4*o + 4 = 3*w, -5*w + 2*o = o - p. Solve w = -5*t + 12 - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.8 - 18.2. Let d be ((-2)\/(1 - -5))\/1. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 256*r**3 - 48*r**2 + 48*r - 48. Let c(k) = 27*k**3 - 5*k**2 + 5*k - 5. Give -48*c(q) + 5*s(q).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9779823.\nAnswer: 3, 1086647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1836076t to grams.\nAnswer: 183607.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 16*s**2 - 25*s - 42. Calculate p(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 4*w**2 - 5*w**2)*(0*w + 0*w + w) + 0*w**3 + w + 3*w**3 + 19*w**3.\nAnswer: 23*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:31 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1648*b**3 - 4*b**2 - 41*b - 17. Is s(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 + 7*q - 2. Let p be (-1)\/(3 + (-93)\/30). Suppose -2*i - 3*s = -2, -4*s + 26 = p. Is 11 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*q = -14732 - 51256 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 87.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1542, -7357, -17050, -30621?\n\"Answer: -1939*s**2 + 2*s + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**7\/42 + 8*t**6\/15 + 3*t**4\/4 - t**3\/6 - 9*t. What is the third derivative of f(c) wrt c?\nAnswer: 60*c**2 + 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1013 + -313. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*k - 17*k**5 - 59*k + 2*k**5 + k**5 - 2*k**5 + 0*k**5 + 0*k**5 + 2*k**5 - k + k - k**5 + 4*k**3 - 4*k**3 - 2*k**5 + (5*k - k - 2*k)*(4*k - 4*k - k**4).\nAnswer: -19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327375\/22 - 14878. Let p = 4566 + -18165\/4. What is the common denominator of v and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120.184 + 0.384. Let d = 120 + q. Sort 10, d, 2, 1.\nAnswer: d, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8264466 by -65591.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4406, -6944, -9482?\n\"Answer: -2538*i - 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15*u**(-5\/3))**(-4\/11) assuming u is positive.\nAnswer: u**(-160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*o = -0*o, -10*o - 3*o = -4*v - 53 + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 + 23 = 0. Solve 5*a - f*a - 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7034 - -7040. Let w(a) = 5*a**2 - 4*a - 5. Let t(i) = 9*i**2 - 7*i - 9. Calculate u*t(q) - 11*w(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a**2 + 35*a**2 + 31*a**2)*(5*a + 5*a - 35 + 38).\nAnswer: 410*a**3 + 123*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1848 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.0025 + -0.0415. Let o = f - -0.044. Suppose 14 = 3*b + 5*l, -7 = -3*b - l + 3. What is the second biggest value in o, -4, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.1. Let q = 0.2 + -2.2. Let v = 11\/3 + -3. Which is the closest to v? (a) q (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 229*c**2 + 14610*c - 573. Give h(-281).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -847479 - -847478.650019. Let y = 58 + -58.35. Let k = u - y. What is k rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j, 3*n = -n + 5*j + 68. Calculate the remainder when 18 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -404*m + 6. Let o be k(-1). Suppose p + 15 = -4*p, -4*f - 2*p - o = 0. Let i = 21 - f. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789822 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 1704, 1 in decreasing order.\nAnswer: 1704, 14, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-31))**(-1\/44))**(4\/11) assuming f is positive.\nAnswer: f**(31\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17453 - 1421*z**2 + 17453 + (-2*z**2 + 4*z**2 - z**2)*(-2 + 0 + 4) + 4*z**2 - 6*z**2 + 3*z**2.\nAnswer: -1418*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g + 3. Suppose 2*y = 5*n - 17, 2*y = -4*n - 0*n + 28. Let j be f(n). Let d = -55 + j. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33999, 68095, 102183, 136263, 170335, 204399?\nAnswer: 238455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4083, 4077, 4065, 4047, 4023, 3993, 3957?\nAnswer: 3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 8. Let l = 512 + -517.07. Let y = -0.07 - l. Which is the closest to -1\/3? (a) y (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9041278 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 2*u**5\/5 + 7*u**4\/12 - 17*u**3\/3 - u**2\/2 - u - 53. What is the second derivative of q(i) wrt i?\nAnswer: 48*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2 - 6 + 3)*((-5*w + 2*w + 2*w)*(-2 + 2 - 2) + 2*w - w + 0*w - 2*w + 3*w + 3*w + 2*w - w + w).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144070154674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 - 5*i - 136. Let d be w(18). Suppose -4*t - s + 4425 = -0*s, 0 = 3*t + 3*s - 3312. Suppose -d = -5*n + t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 15 = 0, 0 = 4*v - 7*c + 3*c - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7471279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22258, -22257, -22256, -22255, -22254, -22253?\n\"Answer: l - 22259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*r**3*w**2 - 249*r**3 + 4*r*w**3 with respect to w.\nAnswer: 18*r**3*w + 12*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a - 9. Let c = -49 - -52. Let u be x(c). What is the highest common divisor of 120 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + 10 + 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 7*w + 4. Let x(i) = -i**2 + i + 1. Calculate -f(g) + 5*x(g).\nAnswer: -6*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12 and 19\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 59*p**2 - 10493*p - 1683. Give j(178).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002 (base 4) in base 7?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004322259 to 6 decimal places.\nAnswer: -0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36917\/9140 - -5\/457. Let s(h) = -6290*h - 2. Let n be s(-2). Let k = 201345\/16 - n. Find the common denominator of k and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10\/15*36*30\/(-160)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4040 + -1032. What is the highest common factor of 48 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22369277 a multiple of 3296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 4, 79, 5, -2.\nAnswer: -2, 4, 5, 79, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/6 + (70 + -63 - 18\/4). Solve c = 3*h + 211 - 214 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5 - 56*c**4 + 292*c**3 - 688*c**2 + 704*c - 256 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 33. Let m(y) = y**2 - y - 3. Let z be m(h). Let p(o) = 3*o**2 - 3*o + 2*o**2 - o - 5*o**2 - 2*o**2. Determine p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1524 - 1523.82. Which is the biggest value? (a) -1 (b) 0.06 (c) 6\/11 (d) u (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 7131446?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59760 = -34*j - 708*j - 88*j for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -7\/5, -470, -1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -426 - -445. Suppose -17*i + k*i + 3*r = 662, 0 = -3*i - r + 1000. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 4*c**2 - 3*c**2)*(115*c**2 - 115*c**2 + 7*c**3) - 6*c**5 - 80*c**5 + 2*c**5.\nAnswer: -77*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15071311.765905264 + -15071312.9. Let v = 18.134092996 + w. Let k = v - 17. What is k rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/44 and -21\/15772.\nAnswer: 173492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.5. Let y = i - 0.4. Let k = 3.07 - 0.07. Which is the second biggest value? (a) y (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11486, -11542, -11576, -11576, -11530?\nAnswer: -11426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 6. Let h(m) = 1. Suppose -2*l + 5*l - 6 = -2*g, 0 = 5*g - 5*l - 15. Let s(a) = a**2 - 5*a + 5. Let p be s(g). What is p*j(v) - 6*h(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-121)\/(-7) + 9*4\/(-126). Solve m*t - 7*t + 50 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*v - 1203*v + 26 = -586*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (2 - 2\/2). Suppose -s*c + 40 = 4*d, c + d - 3*d + 6 = 0. Solve 2*n - 4 = c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d1 (base 16) to base 6\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 33 = -3*r, -4990*t + 81 = -4992*t - 5*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1515 + -1520. Let s = -0.2 - -0.3. Which is the closest to s? (a) -3 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-2)\/20). Let x = 108.1851 - -0.1149. Let p = -109 + x. What is the third smallest value in c, 4\/7, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3 - 2*u**2 - 5333201*u - 6396981 wrt u?\nAnswer: 3*u**2 - 4*u - 5333201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/(-69) - (-147)\/117?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**23 assuming x is positive.\nAnswer: x**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8710290 by -56930.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 1 + 7. Suppose -2*s - 1 = 3*h - 5, -h + o = 0. Which is the nearest to s? (a) -0.1 (b) -0.4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1))**(-18))**(2\/43) assuming u is positive.\nAnswer: u**(-72\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18.56*0.1\nAnswer: 1.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -t - 5*z + 2169, -t = 2*z - 2145. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36227 or 36109?\nAnswer: 36227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:34 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1039 and 351012643.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 2. Let h = 6 + -8. Let y be ((-3)\/(-5))\/(h\/(-10)). Solve q*w - 1 = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -257, -5\/2, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 4 + 236*v**2 - 2*v - 2*v**3 - 240*v**2.\nAnswer: 2*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 h when four letters picked without replacement from {h: 7, w: 1, y: 6}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 23*p = -166, -376*p + 385*p + 83 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*5*(-6)\/(-60)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78 - 892?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 335397 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1548 - 0.0714. Round i to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -20. Let i be (6 - g)*((-1)\/2)\/(-1). Let s(h) = 4*h + 1. Let n be s(-1). Which is bigger: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1089688 and 1089689 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504*-0.07.\nAnswer: -35.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + -13 + 3 + 7 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/6443, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 75 = -3*h, 0*y + 55 = 2*y + h. What is the highest common factor of y and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12877, 51378, 115547, 205384, 320889?\nAnswer: 462062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 16201*l + 129677. Calculate v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -92. Calculate the highest common factor of 52 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -g - 57, w - 2*w - 5*g - 33 = 0. What is the units digit of w\/6*186\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) 3\/7 (c) -2 (d) -0.5 (e) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {h: 1, x: 2, q: 1, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 3 + 3 + (-r + 2*r + r)*(r + r - r) - 14*r**2 - 206*r + 206*r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - z, -3*u = -z - 2*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 788104128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(5*z + z - z) + 0*z + 0*z - z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (168\/54)\/((-6)\/(-27)) - 1. What is the highest common factor of h and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 17*q**2 - 19*q - 9. What is d(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjzddkdljddddjlz. Give prob of picking 1 j and 1 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*w**2 - 317*w\/3 - 2.\nAnswer: -(w + 3)*(105*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, 7, -2, -0.1, 29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2141505 and 2610.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*r + 24*r - 1470. Suppose 5*m = 118 + 77. Calculate the remainder when m is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(152)\/(sqrt(56)\/sqrt(7)) + 5) + -4.\nAnswer: -24 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*v + 54*m - 57*m, 0 = -2*v + 5*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = t - r, r = -5*t + 22. What is the third derivative of -11*m**t + 14*m**2 - m**5 - 10*m**2 wrt m?\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*n - 8 = 0, 6*n = -2*s + n + 9. Does 13 divide -6*((s + -29 - -4) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5154.99984245 + 5155. What is o rounded to six decimal places?\nAnswer: 0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5857, 21371, 2 in decreasing order.\nAnswer: 21371, 2, -3, -5857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwaaw. Give prob of sequence aa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**3 + 5*y**2 + y. Let n be m(-4). Let g = n + -46306\/51. Suppose -3*s = -3*i - 9 - 3, 4*s - 1 = -i. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5155673?\nAnswer: 5155673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 116521 = -25779. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 10. Let x be k(-12). Let q = 3 - 0. Let f(s) = -3 + q + s**x. Let p(d) = 2*d**2. Give p(f(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**17))\/h**(1\/13) assuming h is positive.\nAnswer: h**(-209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 7*k = 0. Suppose -n - 3*o = -804, k = 2*n + o + 2*o - 1617. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -50 - (5 + -68)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 2 - (136 - 156) - ((-17 - 0) + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108232 or 581?\nAnswer: 108232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 0*r + 5*r + (0*r + r - 3*r)*(0 + 4 - 2) - 4 - 3*r + 4 - 2*r + 0 + 0.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9244561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 50. What is the remainder when 183 + ((-2)\/(-40) - (-10434)\/(-1480) - -13) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - -21?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 21 = -d + 4*c, 0 = 3*c + 9. What is the greatest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 2. Let b be ((-6)\/15)\/((-20)\/40*2\/(-5)). Let c(n) be the third derivative of n**5\/60 - n**4\/24 - n**3\/3 - n**2. Determine b*i(g) + 3*c(g).\nAnswer: -g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.13, -1, 43, -0.7?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1 + sqrt(245) + sqrt(245))**2 + 0)*6*1 + -4).\nAnswer: -23528 + 672*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126849814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, -27 in increasing order.\nAnswer: -27, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5310*y**3 + 25085*y**2 + 228186369*y?\nAnswer: 31860*y + 50170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let a be (-4 - 0) + 7\/((-21)\/(-18)). What is the nearest to 1 in a, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v*y**3 - 15818*v - 12106*y**3 + 2*y**2 - 2*y wrt y.\nAnswer: -6*v*y - 72636*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) + (sqrt(152) - sqrt(152)*1)))\/((-2*sqrt(40))\/sqrt(5)) + -4 + 1 + (sqrt(76) - -2*sqrt(76))**2.\nAnswer: 5*sqrt(19)\/2 + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -18. Suppose 3*r - 20 = 10. Calculate the remainder when (36\/r)\/((-3)\/(-15)) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4673329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10925 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 2*i**2 - 3*i**2 + 6*i**2 + 18*i.\nAnswer: -i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l - 7. Let s be r(7). Let h be (-251*1)\/(((-7)\/s)\/3). Suppose 3*g - y - h = 0, 711 + 303 = 4*g + 2*y. Is g a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.04055, 0.1, -7, 0, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 + -14?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 - 9*x - 5. Let k be u(10). Solve -5*r = c + 7, -4*c + k = -2*r - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 7:53 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 4) + (-87 - -112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, 6389, 0.045?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 - 51 + 84)*(78*k + 343 - 343)*(k**2 + 4*k**2 - 3*k**2) in the form d*k + x*k**2 + y + r*k**3 and give r.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:48 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73390)\/24165*(-81)\/(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -598\/5 + 119. Let h = 2\/9 + -23\/63. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11431, -11433, -11435, -11437?\n\"Answer: -2*q - 11429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + 0.1. Let d = -0.2 + 0.1. Let s = d - u. What is s rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100703266.\nAnswer: 2, 13, 277, 152833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 781 + -781 - (2 + 28)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1446547 - -7950222359\/5496. Find the common denominator of c and -29\/28.\nAnswer: 38472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*d = -276*d + 3*g - 7, -51*d + 3*g = -87 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(91)\/(sqrt(14)\/(sqrt(2)*-1)))**2*-6.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s - 587*s - 9071 = 25705 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.56 - 0.15. Let z = g + -0.01. What is the third smallest value in -2, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 5*i**2 - 3*i - 3. Let f be (-6)\/(-117)*-75 - 2\/13 - -1. What is s(f)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119070411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 776.83 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7086 and 33?\nAnswer: 77946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 16. What is h(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023786 rounded to six dps?\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7044370 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/6 - i**3\/6 + i**2\/3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(1573) + 5 - (1*sqrt(1573) + 4)))**2.\nAnswer: 198*sqrt(13) + 14166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.8 - 3.2. Let o = -1.4 + b. Let j = o + -0.2. What is the second smallest value in 4, 0.3, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let k(a) = -12*a + 1. Calculate k(z) - x(z).\nAnswer: -10*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j - 2409 + 1968 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410795 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let o(c) = 10*c. Suppose 0 = 5*i + 6 + 24. Let f(r) = r. Let g be 4\/(-6)*6\/(-4). Let p(y) = g*o(y) + i*f(y). Determine m(p(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 582 - 646 = -4*o, 2*t - 21 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 487, 496, 513, 538, 571, 612?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.010272 to one dp.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 28?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 165. Let p = -71880 + 1581439\/22. Find the common denominator of p and (f\/8)\/(1\/2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1118)\/16770)\/(4\/3).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12456 = 368*p + 1221 - 31453. Is 203 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7*i + 20, 3*m + 73 = i. Is -20 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**14*q*q)\/((q*q**(-2\/13))\/q)*(q**(-1))**(-2\/17))**(-1\/8) assuming q is positive.\nAnswer: q**(-899\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9361 = -37*z + 14*z. Let k = -390 + z. Solve 7*r + 4 = -k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1661204?\nAnswer: -1661203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-305)\/19 + 164\/3116 - 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -50451, 2 in ascending order.\nAnswer: -50451, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 27 = 4*o, 2*o - 4*m + 46046 - 46060 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 + 79. Let w = -0.2314 + -0.0686. What is the second smallest value in g, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55947.87 micrometers?\nAnswer: 0.00005594787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*u, 28*u + 5*r + 4 = 24*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39761*c**2 - 2*c - 4762?\nAnswer: 79522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/8 + 1)*(-2)\/8. Sort p, -9, 0.\nAnswer: -9, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120314 by 120314.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 143 - 123. Let g(b) be the first derivative of -9*b + 2 - 1\/3*b**3 + 3*b**o. Suppose g(l) = 0. What is l?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5214.8053 rounded to the nearest 100?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**2 + 8. Let i(a) = -26*a - 195. Let l be i(-8). Let h(b) = -14*b**2 - 17. Determine l*p(x) + 6*h(x).\nAnswer: 7*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -15 + 12 + 12 + (10 - -44)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38057940 rounded to the nearest ten thousand?\nAnswer: -38060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656163 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 303d + -8?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*a + 1161*a + 456*a**3 - 372*a - 395*a.\nAnswer: 456*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + (79 - (-36 - -119))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17726741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 79 - 314. Let o = q + 66. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 5\/24597594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)\/u*u)\/u**(-2\/23)*(u**(-2))**33*(u**(-3)\/(u**(-8)\/u))\/(u**(-2)*u\/u**(-2\/13)) assuming u is positive.\nAnswer: u**(-17661\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:12 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149699146 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/249 + -464\/4233. Sort -5, -2, -4, h in decreasing order.\nAnswer: h, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19250.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1422 - -1.461. What is k rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33098 at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 - -3. Let l = o + -0.2. Let k = l - -2.99999994. Round k to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341332 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39 + -0.01. Let k = -0.4877 - -0.1877. What is the closest to 18 in 0.2, l, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 30 = 10*m, a + 12 = -3*a + 4*m. Solve 5*g - 5*v = -15, 0 = -5*g + v - 23 - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460\/179 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*c - 18 = 3*c, -2*q + 3*c + 9 = 0. Let v be 2\/(-10) + q\/(45\/483). Let w = v + 12. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 1675*n**2 - 82875*n - 10456875.\nAnswer: -5*(n - 195)**2*(n + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 878 + -533. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.2 (c) 3\/7 (d) -1 (e) 21018 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 9\/(-3)) + -1. Let j(g) = -g - 3. Let c be j(-5). Suppose -c + 59 = i*v. Solve u + v = -4*u - 3*m, 3*u + 3 = m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 33 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*y + 115 = -1484 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {o: 1, e: 2, j: 1, b: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -9\/16 in ascending order.\nAnswer: -3, -9\/16, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mnnmnnj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63010004 * 1.\nAnswer: -0.63010004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 379 + -221. Suppose a - d = 276. What are the prime factors of a?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*((-24)\/(-9))\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18785, -102884, -243049, -439280, -691577, -999940?\n\"Answer: -28033*g**2 + 9248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6067, -6068, -6069, -6070, -6071, -6072?\nAnswer: -6073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 5*s + 0*s)*(-48*s + 35*s + 217*s) to w*s**2 + h*s + b and give w.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 426 and -0.1?\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 - c + 3. Let h(a) = a**3 + 3*a**2 - 3. Let p(j) = 2*h(j) + 3*s(j). What is the tens digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 110.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 12*z = -5. Suppose 10*h - 10 = z*h. Suppose 0 = -2*s - 0*s - 3*t + 23, -8 = 3*s - 4*t. Solve s*w - 1 = 3*u, -2 = w + 3*w - h*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46703 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138452 divided by -1161.\nAnswer: -138452\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.5280823 to 2 decimal places.\nAnswer: 42.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1601*f**4 - 663*f**3 + 2*f**2 - 466503*f - 2?\nAnswer: 38424*f - 3978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -95.2 * 0.196469\nAnswer: -18.7038488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505 = -3*s - 5*v + 4*v, -3*s - 4*v + 517 = 0. Let t be -3 - -1 - (-1 - s). Suppose -3*h + h + t = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 + l + 8. Let g = -24 + 17. Let r be k(g). Put -1, r, 0 in descending order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 5*d**2 - 6*d + 5. Let i be n(6). Suppose 0 = 9*u - i*u - 36. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (32214 - -17) + 0\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-2) + (-3)\/(-6). Suppose 0 = y - 3*h - 11, -u*y + 0*h - 4*h = 2. Is (y + 27)*(-1)\/(-1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/12 + 20*t**3\/9 + t**2\/6 - 20*t\/3 + 45. Suppose l(i) = 0. What is i?\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 6*s**2 + 3*s - 5. Let t be k(-5). Let p(z) = -7*z + 7*z - 3*z - t - 9*z. Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 210186.\nAnswer: -83\/210186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -64*x + 2613. Calculate the remainder when x is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 108\/(-135)*10\/(-4). Sort 8, p, 0, -4.\nAnswer: -4, 0, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (6 + -5)) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704037 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 7, j: 6}. Give prob of sequence uku.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 298 and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 9, p: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246879.\nAnswer: 3, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -866 - -759.4. Let l = p - -107. Let i = 0.5 + -5.5. Which is the fourth biggest value? (a) -3 (b) 0 (c) i (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31254105 plus -0.059?\nAnswer: -31254105.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let k(s) = 11. Let d(u) = u - 9. Suppose 12*o = 8*o + 20. Let z(l) = o*k(l) + 6*d(l). Give m(z(w)).\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7904.974 millilitres to litres.\nAnswer: 7.904974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0411 + 2339582.\nAnswer: 2339581.9589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 13*o**2 - 5*o - 2. Let z be j(10). Suppose 4*u - 2*t = z, -195 + 27 = -3*u - 3*t. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + 4*p + 1. Let h be f(5). Let u(v) = -2*v**3 + 3*v**2 + 9*v + 6. What is the tens digit of u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - q = -0*q - 25, 2*l = -5*q + 35. Suppose 195 = 5*r - 3*h, 2*r + h + 121 = l*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h)\/h*h*h**(-4)\/h*((h\/(h\/((h*h**0)\/h))*h)\/h)\/(h\/h**(-6)) assuming h is positive.\nAnswer: h**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) 0 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 37955713.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19904377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-4) + (-2)\/(-8). Suppose 4*a - 3*x = 1, -2*a + 7*x - 2*x = 3. Let l = r - a. Solve 2*k - l*u - 7 = -0*u, 0 = -k + 4*u + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2871\/363 + (-3)\/(-33). Suppose r*f - 5*j = 10*f - 2916, 5*f - 2*j = 7261. What are the prime factors of f?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2 - 13. Let f(y) = -3*y**2 - 12*y. Let z(j) = -2*j**2 - 11*j - 1. Suppose 0 = 76*o - 74*o - 6. Let r(b) = o*f(b) - 4*z(b). Calculate r(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -13*k**2 - 113. Suppose 0 = -1859*r + 1844*r - 105. Let m(q) = 4*q**2 + 38. Give r*m(v) - 2*j(v).\nAnswer: -2*v**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 387882197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.05, 4, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 402, 620, 854, 1110, 1394?\nAnswer: 1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*x + 24 - 163 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 232\/16 - (-3)\/(-2). Let m(q) = 4*q**2 + q + 2. Let y(p) = -2*p**2 + 17*p - 9. Let j be y(8). Let d be m(j). Sort d, v, 1, -2 in descending order.\nAnswer: v, d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:45 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 13*u + 27. Let b(c) = -c**3 - c**2 - 3*c + 13. Let k be b(0). Is y(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342967981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(117)*1)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, -22, 3\/8 in decreasing order.\nAnswer: 3, 3\/8, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 74?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28800469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85772702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56112052?\nAnswer: 2, 14028013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7731698?\nAnswer: 2, 13, 41, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 13*n**6\/3 + n**4\/2 + n**2\/2 + 14*n + 67. Find the second derivative of r(p) wrt p.\nAnswer: 520*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*u - 5 = -2, 0 = -3*h + u + 7. Suppose 3*c = -3*d + 2142, h*d - 4*c = -3*c + 1440. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 2, b: 4, s: 1}. Give prob of sequence bb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 4*q**2 + 4*q**3 to n + l*q**2 + m*q + z*q**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1 - (2 + -1)). Suppose t = 2*r + 12 - 18. Suppose -d - 8*o + r*o + 83 = 0, -2*d = 2*o - 126. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 + -110.2. What is the fourth smallest value in 0.2, -3, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 10*h**2 - 13*h + 7. Calculate the remainder when a(5) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3589 is divided by 198?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 2*t - 16 = 0, t + 34 = -5*g. Let p = g - -5. Which is greater: p or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*u - 317*u = 39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2\/13, 0.4, 162, 5\/4?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 1, n: 1, o: 2, i: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/120 + 4*j**3 - 28*j**2. Let b(i) be the first derivative of v(i). Let x(m) = 60*m**2. Determine b(x(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + 5 + -6 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 394467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-12))\/((-2)\/8). Let g be (-34)\/70 - (-1)\/5. Let a(k) = 16*k - 64. Let s be a(4). What is the second smallest value in j, g, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 188*c - 13*c. Factor -10\/3*u**4 + 0 - 2\/3*u**5 - 16\/3*u**3 + c*u - 8\/3*u**2.\nAnswer: -2*u**2*(u + 1)*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 21*n - 4. Let z = 52.6 + -30.5. Let m = -22.09 + z. What is the fourth smallest value in m, 2\/3, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -74494477, 2, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*o = -4*n - 792, 3*n + 1188 = 5*o. Is 66 a factor of (-8)\/(1194\/n + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be -1698*((-3)\/(-9))\/(0 + -1). Suppose 43 = 4*m + 5*g - 432, 3*g + i = 5*m. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -41. Find g such that -5*g**2 + 259 - 16*g - d*g**3 - 4*g**4 + 3*g**2 - 263 - 22*g**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 7:29 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -429 + 7291\/17. Let k = 23\/51 + r. Let v = 99.41 + -101.41. What is the fourth biggest value in k, 10, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2 + 2*d + 1. Let w be (10\/7 + -2)*14\/(-4). Suppose 0 = -4*j + w - 6. Determine o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:27 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109\/104 + -12\/13. Let b = -1.2 + 0.2. What is the closest to b in c, -3, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 150 - 190)*(-2*z**5 + 0*z + 0*z + (-2*z + 2*z - 3*z**2)*(z**3 - 2 + 2)).\nAnswer: 1465*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -d - 440, d - 1 = 2. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -61. Let m = 51 + l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 191.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4599 or 4600?\nAnswer: 4599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/30 and 38\/123?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/783 (b) -3 (c) -0.1 (d) 2 (e) 1\/3 (f) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-130))\/(7482\/49880).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -108*w + 126*w. Let p(y) = 3*y**2 - 6*y + 5. Calculate p(w).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 435951.5 days?\nAnswer: 37666209600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Let m be (8 + 7)\/(12\/8). Suppose 6 = 8*n - m. Solve -h*y = -3*k + 2, -5*k - n*y + 14 = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61769 and 484399.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Let r = -1 - l. Let g = 0.2406 - -0.0594. Which is the nearest to 0.1? (a) g (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/36 + 5\/9. Let s(a) be the first derivative of -1 - 1\/3*a**3 + 0*a - 1\/8*a**2 - c*a**4. Factor s(d).\nAnswer: -d*(2*d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 13 = -7. Put 6, -1, g in decreasing order.\nAnswer: 6, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20864 is divided by 2318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(2\/65)*(o\/(o\/(o*o**(1\/3))*o))\/(o**(3\/5)*o)*((o*o**(-1\/2))**(5\/13))**(-21) assuming o is positive.\nAnswer: o**(-2081\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 3 (c) 1\/4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 18*h**2 + 18*h - 15. Let q be g(17). Let o(u) = 5*u - 7. Let v be o(q). Suppose v*i = f - 3*f + 977, 2*f = -i + 975. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/176 and 87\/3017216.\nAnswer: 33189376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1382.9 take away -254.15?\nAnswer: -1128.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let i(g) = -25*g. What is k(i(t))?\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7547*b**4 - 10*b**3 - 171*b**2 + 42504052 wrt b.\nAnswer: -30188*b**3 - 30*b**2 - 342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301 (base 5) to base 16.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11297081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*w - 37*w**2 - 12*w**2 - 223*w.\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 + w**2 + 3*w - 3. Let r(t) = -5*t**3 + 2*t**2 + 4*t - 4. Suppose -3*u + 36 = u - 5*f, 4*f = 3*u - 28. Calculate u*a(s) - 3*r(s).\nAnswer: -s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooofooffooo. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let q be (-1)\/(-2)*(z + 3). Solve 0*j + q*j = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7140*-0.6.\nAnswer: 4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 873015413 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 16*t. Let x be -4 + -10 - (-29)\/((-406)\/(-84)). What is h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11310331232212 - -110?\nAnswer: -11310331232102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/(-68)*(0 - -1718). Let n = 1669 + w. What is the common denominator of 18 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*l + 118, 0 = -4*b - 3*l - 0*l - 3829 + 4005 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*b - 225*b - 352 = -685*b + 230*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3250 and -11\/85.\nAnswer: 55250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 1606, 2389, 3172, 3955, 4738?\nAnswer: 5521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2046 - -40125?\nAnswer: 36057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1) - (-36)\/(9\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(5\/9)*g)\/(g\/g**(1\/24)))\/((g\/(g\/(g\/g**(-8\/9))))\/((g\/g**(-5\/8)*g*g)\/g)))**(-13) assuming g is positive.\nAnswer: g**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 + v + 6. Is q(-4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*r + 6. Put 3, 5, 0, r in decreasing order.\nAnswer: 5, 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -2\/9, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5897736 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(((-3)\/((-1176)\/(-70)))\/((-200)\/28)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 4*w - 48 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 5154888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444659, -1778835, -4002527, -7115735, -11118459, -16010699?\nAnswer: -21792455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360 or 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 4030998?\nAnswer: 4030998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 - -110900.65.\nAnswer: 111280.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-81)\/(-3) - (3 - 1). Solve 10 - u = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/1 - (-152320)\/(-37760)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12*l - 19. Let x(u) = 7*u + 4. Let b(n) = -48*n - 27. Let c(j) = -4*b(j) - 27*x(j). Let v(z) = -3*c(z) - r(z). Let h(q) = -q**2. What is h(v(k))?\nAnswer: -9*k**2 - 114*k - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0376 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(4*sqrt(32) - (sqrt(24)\/(-1*sqrt(12)) + sqrt(2))))**2 - (-1*(sqrt(2) + -1) + sqrt(20)\/(sqrt(50)\/sqrt(5)))) + 4.\nAnswer: 12803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = s - 0*s. Let h be 2 - -1 - 34\/18. Let p = 4\/9 - h. Which is the third biggest value? (a) s (b) 7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -1623. Suppose g*q = 1590*q + 8. Let u(y) = -13*y**2 + 5*y - 8. Let j(p) = -9*p**2 + 3*p - 5. Let c(n) = -8*j(n) + 5*u(n). Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2075910\/11 + -12864187\/66. Let u(h) = -247*h**2 + 6*h - 6. Let m be u(-5). Let n = v - m. What is the common denominator of n and -121\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + 0 - 1) + (-144 - -245 - 107).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846138?\nAnswer: 2, 3, 141023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-1\/5)\/r))\/r)\/r)**(-49))**(-27)*((r*r\/r**(1\/2)*r*r)\/r*(r\/(r\/(r\/((r\/(r\/(r**1*r)))\/r)))*r*r)\/r)**(-32) assuming r is positive.\nAnswer: r**(763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(320) - (sqrt(320) - (0 + sqrt(320) + 3)))**2 + 5.\nAnswer: 48*sqrt(5) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y**3 + 4*y**3)*(-1895*y**2 + 2810*y**2 + 3990*y**2).\nAnswer: 14715*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - -8 - (308 - 302)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14348, -5598, 3152, 11902, 20652?\n\"Answer: 8750*j - 23098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*l = -6, -22 = -5*p - 3*l - 1. Suppose 29 = p*z - 5*v, -4 + 6 = v. What is the remainder when 49 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -30*y + 1270. Let v(r) = 46*r - 1931. Let j(m) = 8*c(m) + 5*v(m). Determine j(50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-40))\/(i*i**(16\/5)\/i*i)*i**(1\/28)*i*i**(-13\/3) assuming i is positive.\nAnswer: i**(14071\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-3))\/((-3)\/63). Let u(g) = -g**3 + 3*g**2 + 4*g + 7. Let n be u(4). What is the greatest common divisor of k and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.353056 decades to years.\nAnswer: 23.53056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -18*w**2 - w + 47. Determine b(4).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*n + 14, 988*n - 984*n - 3*f = 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 5, 0.15, -2, 4\/3, -1.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 2. What is the common denominator of 74\/9 and 2*s\/(-6) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327267 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 10, h: 2, j: 1, c: 2}. What is prob of sequence cchr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1679955\nAnswer: -1\/559985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -657, -658, -661, -666?\n\"Answer: -r**2 + 2*r - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 534 + 5*a**3 - 4*a**3 - 532 - 3*a**4 - 4*a**3 in the form u*a + f + z*a**2 + v*a**4 + m*a**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 8*g**2 - 7*g**2 + 6*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13299.\nAnswer: 3, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -6*l - 24. Suppose -k + 16 = k + 5*u, 3*k + l*u = 10. Put -1, k, 1, 4 in descending order.\nAnswer: 4, 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gunueuf. Give prob of picking 1 u, 1 f, and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w. Let d(f) = -69*f - 492. What is -d(x) - 5*u(x)?\nAnswer: -x + 492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 17 = 5*u, -585*u + 588*u = 36*f + 273 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4463 and 2.4651?\nAnswer: 4465.4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11516618 to the power of 1\/2, to the nearest integer?\nAnswer: 3394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 6*i**2 - 8*i + 5. Let x be v(-7). Let b be (-16)\/x + (-93)\/(-9). Suppose 5*c + 14 = b. Which is greater: 3\/17 or c?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -121\/13? (a) 3 (b) -240 (c) -3 (d) -0.2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 1. Let d be m(-4). Let c(u) = -3*u - 5. Let v(n) = -4*n - 6. Let b(a) = d*c(a) + 4*v(a). Find the first derivative of b(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104955 + 27467 = 1814*k for k.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s = -36*s - 77 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -4*u + 9, 42*u = 40*u + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*a - 24. Suppose -a*v + 2*p + 126 = -0*v, -p + 5 = 0. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.145 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34249002\/17 + -2015248. Let o = -601 - p. Is o greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44819?\nAnswer: 44819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 12 + (13 - -1) + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 34*r + 10. Suppose t - 35 = 23. Suppose t*g = 53*g + 30. Let z be u(g). What is z rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22543793 is divided by 2812?\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let n(r) = 26*r - 32*r - 47*r - 21*r. What is n(d(p))?\nAnswer: -148*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1750 + 1382. Which is greater: 18793\/6 or a?\nAnswer: 18793\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 11 = -4*d + 13, 2*d - 14 = z. Suppose 4*b - 2*l + 5 = 3*b, 5*l - 23 = -b. Suppose -b*g + 18 = -18. What is the remainder when g is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4293?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 * -0.3393467\nAnswer: 0.0210394954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8*f = 9*f + 2, -3*m = -5*f + 6. Let c be ((-465)\/6)\/(m\/4). Suppose 0 = 4*h - 53 - c. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l = 59*l. Let c(b) = b + 33. Let z be c(-17). Solve -s + 12 = 5*t - 4*s, l = -3*t - 4*s - z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-4 - 4) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66882.5 rounded to the nearest one hundred?\nAnswer: -66900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*f - 93 + f**2 + 93 to y*f**2 + q + m*f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4*(-6)\/27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.04 (b) 4 (c) -5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5829931037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16577*q = -16108*q - 8911 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-26) + (-15)\/((-2340)\/738012) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*r = -233*r - 201*r + 715*r + 10374 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - x + 1 = 0, 5*b + 3 = -5*x + 8. What is the common denominator of 93\/15 + -1 + b and -29\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -90?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475270322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4. Let l be n(3). Suppose 2*h - 7*h + 21 = 4*v, 22 = 3*v + l*h. Is v at least as big as 2\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a factor of 7642400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34948, -114, -1 in descending order.\nAnswer: -1, -114, -34948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 8. Let u be m(6). Suppose 25 = 4*d - 5*j, d + 4*j + 20 = -u*d. Suppose d = 4*g - 6 - 10. Solve -v = -g*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95.5566 - -144.933. Let y = l + 6.5296. Let b = -56 + y. Round b to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47224082 is divided by 182.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*c - 0*c + 4, 5*d = 3*c + 5. Let w = -37 - -81. What is the units digit of w\/8 - d\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = 63*x - 25*x - 67*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (76\/96 - 22\/33)\/(6\/16)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g + 80. Suppose 3*k - 4 = -19, 0 = 3*u - 4*k - 20. Does 4 divide v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 24*c**2 - 101*c + 30. Let x be b(4). What is the highest common divisor of x and 23890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665302 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36a5d3 + -5?\nAnswer: 36a5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241 - 634 - 109*c**3 + 192 + 200 - 3*c.\nAnswer: -109*c**3 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 6:29 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 3:53 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 21341 - 24082. Does 103 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/351 and 61\/936?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(78)*1)\/sqrt(6))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -27*s + 4*s**2 + 27*s - 7*s**2. Let o(f) = 16*f. What is o(h(l))?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2732343 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9703284 kilometers to meters.\nAnswer: 970.3284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -20*p - 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334793253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-5)*4715\/46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 19*n + 40. Let p be c(12). Let v(r) = 4*r + 267*r**2 + 7*r - 4 - p*r**2. What are the prime factors of v(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(-3 + 2 + 0)*(0 - 3 + 5)*((-5*j + j + 2*j)*(1 + 2 - 1) + j + 0 + 0 - 360*j + 175*j + 161*j) in the form s*j + x and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 214171\nAnswer: -55\/214171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 199\/2. What is the third smallest value in -2\/17, -0.1, -0.4, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4103993?\nAnswer: 29, 47, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3314 and 91\/20?\nAnswer: 33140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t, -2*t = -4*f + t - 61. Let n = f + 13. Suppose 3*o - 108 = -3*x, -o - 3*x - 13 + 47 = n. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htepnphzhpth. Give prob of picking 1 e and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 491, 782, 1103?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 10*v - 19909 - 9*v**2 + 19909 - 12*v.\nAnswer: -7*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c**3 + 1\/60*c**5 + 13*c**2 + 5\/12*c**4 + 0*c + 0. Find the second derivative of u(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -16\/22117263?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0 - 5*m**3 + 0*m**5 + 31\/120*m**6 - 48*m**2 + 0*m**4 + 0*m. Find the first derivative of r(j) wrt j.\nAnswer: 93*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -268 + 270. Factor 1\/3*i**b + 1\/3*i + 0.\nAnswer: i*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -87.00000078. Round g to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 - 3*m + 1. Let u(d) = -5*d**3 + 4*d. Let k(i) = -4*q(i) - 3*u(i). What is the first derivative of k(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 1.4, 0.4, 28880, -4, -9\/4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1217 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 1:08 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(32) - (sqrt(2) + sqrt(128)*3).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let n(w) = w**2 + w - 12. Let r(x) = 3*a(x) - n(x). Let t be r(0). Suppose t*m = 7*m + 12. Solve -3*k + m = -6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. What is the third derivative of 4*p**2 - p**u + 2*p**3 + 2*p**3 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 1590.87.\nAnswer: 1590.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 158*c + 854. What is x(-6)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 34?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxdxxd. Give prob of picking 2 x.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 6. Let g be d(6). Let h be ((-4)\/g)\/((-1)\/96). Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let w = 0 + 4. What is the remainder when 19 is divided by m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from vmmzmhma?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -21321 + 9*n**2 + 21321. Let f(p) = -67*p**2 + 27*p**2 + 18*p - 18*p + 18*p**2. Calculate f(g(m)).\nAnswer: -1782*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/360 - 7*c**5\/90 + 43*c**4\/72 - 5*c**3\/3 + 4161*c**2. Determine k, given that a(k) = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*d*w - 308*c**3*d - 420*c**2*w**3 + 2*c*d*w - 111178*c*w**3 + 2*d*w wrt c?\nAnswer: -6*c*d*w - 1848*c*d - 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) - sqrt(280)*-2)\/sqrt(10))\/(-5*5*sqrt(4)).\nAnswer: -3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j - 160. Let t be 6\/(-2)*j\/(-24). Suppose -5*x - p = -133 - 38, 0 = -5*x - t*p + 175. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -131*g - 578. Calculate i(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 25 = 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 256883155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:25 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 165857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 16758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 15*t**4 + 18 + (t**2 + t**3 - t**2)*(-4*t + 0*t + 2*t) + 0*t**4 - 3*t**4 + t**4 + (-2*t**2 - 2*t**2 + 5*t**2)*(3 - 2*t**2 - 3).\nAnswer: -21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 2*i**2 + 4*i + 4. Let u be s(-3). Suppose 0 = b + 5*m + 11, -2*m + 0*m = b - u. What is the greatest common factor of b and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036571 > 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p + 204 = 0. Calculate the common denominator of 1 - (p\/28 - 1) and 21\/18 - (0 + 3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 - 417*s**3\/5 - 418*s**2\/5.\nAnswer: s**2*(s - 418)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*y - 12 = -53*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 218162\nAnswer: -135\/218162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*o = -0*o - 215, 5*f = -5*o - 185. Let k be 16\/56 - f\/(-42). Which is the closest to 5\/6? (a) 2 (b) k (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 14*q - 4*q + 4*q**2 + 2*q**2. Let p(m) be the second derivative of -m**4\/6 - m**3\/2 + m. Let z = 44 - 41. Calculate z*s(f) + 10*p(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89155 and 35915.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -411079, 0.1, -0.1 in decreasing order.\nAnswer: 3\/7, 0.1, -0.1, -411079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 14392.8 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s - 313 = 47*s + 515 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/13)\/s*s*s**(-11))**(-2\/5))**(2\/17) assuming s is positive.\nAnswer: s**(564\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 2, s: 1, p: 6}. Give prob of sequence jpsj.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318.9289 nanograms to tonnes.\nAnswer: 0.0000000000003189289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11101000100?\nAnswer: 11101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 13 - 628*h - 4*h**2 - 2*h**2 + h**2.\nAnswer: -5*h**2 - 628*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 - 3*t - 7. Let b be g(-4). What are the prime factors of (-9)\/(b\/2) - (-386)\/6?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3499 - -6140. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 47323.\nAnswer: -236615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o + 13\/60*o**4 - 2\/15*o**3 - 2*o**2 - 22\/525*o**7 + 19\/150*o**6 + 1\/168*o**8 + 0 - 16\/75*o**5. Factor z(v).\nAnswer: 2*(v - 1)**4*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-180)\/204)*8\/(8\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.3034 litres in millilitres?\nAnswer: 884303.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29493196078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*r**5 + 5264*r**4 - 12*r**3 + 14605734*r**2 wrt r.\nAnswer: 960*r**2 + 126336*r - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 324*t - 470. Calculate the remainder when 3911 is divided by f(2).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.868 + 0.132. Let d = j - 19. What is the nearest to 0 in -5, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 14. Determine x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-1) + 60\/15. Let n(f) = -2*f - 12. Calculate n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*d + (d - 3*d + 3*d)*(0 + 1 + 0) + 0*d + 50*d - 11*d + (5 + 6 - 5)*(-d + 0*d - 2*d) in the form n*d + m and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/105*(133\/7)\/(1\/(-1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (13 + -13 - -26).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-40)*(-30)\/35\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -574944, -2299815, -5174592, -9199269, -14373840, -20698299, -28172640, -36796857?\n\"Answer: a**3 - 574959*a**2 - a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nurubncnbrcbbrrrcc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 241.294 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (2 + -1)*-1. Suppose 5*n + y*x = 43, -3*x = -4*x + 4. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10120824 divided by -58842\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -18. Suppose q + 14 = -3*m, 1 + 1 = -m - q. Let a be (-1)\/(-1)*(-7 - m). Sort k, a, 5.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020416 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - j + 4*j, -2*f - j = -3. Suppose -f*o + 276 = -3*x, 3*o + 4*x - 148 = 93. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 41 = -4*b - 39, 4*k - 5*b + 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/14 + 4\/24640*334. Let s = -2\/55 + w. Put -1, s, 9 in increasing order.\nAnswer: -1, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -36\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/15)*(g*g**(3\/7)*g)\/g)\/(g**0*g*g*g\/(g\/g**(-6))*g))\/((g**(-1\/4))**(-11)*(g**(-1))**(-15)) assuming g is positive.\nAnswer: g**(-5651\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 349*o + 2064 = 345*o, -g + 513 = -4*o. What is the highest common factor of 188 and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-12))\/((-11)\/220). Suppose 18 = -c + 6*c + 2*n, 3*c - l*n - 17 = 0. Solve -c*h + 4*t + 0 - 12 = 0, 4*t = 5*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/60 + l**2. Suppose 3*w - w = 6. Let y(n) = n + 1 - 4 + w. What is m(y(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 - -142 - (-3 - ((4 - 1) + 9 + -53))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, -1, -5, 4459 in descending order.\nAnswer: 4459, 20, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23193272*k**2*t*w**2 - k**2*w**2 + 2677222*t + w**2 wrt k?\nAnswer: 46386544*k*t*w**2 - 2*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 15 = -c. Let j = 15.1 + -15. What is the nearest to j in 0.2, c, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4058354, -4058355, -4058354, -4058351?\n\"Answer: j**2 - 4*j - 4058351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -362374, -362351, -362328, -362305?\n\"Answer: 23*p - 362397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l + 1. Let c(r) = 11*r**3 + 2*r**2 - r - 1. Determine c(o) - 2*u(o).\nAnswer: 11*o**3 - 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -24. Solve u*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -11*s + 90. Let y(l) = -6*l**2. Let j be y(-1). Let u = j - -16. What is the remainder when s is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2767, 11249, 25391, 45193, 70655, 101777?\n\"Answer: 2830*o**2 - 8*o - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**6\/60 + d**3\/6 + 7*d**2\/2 + 3*d. Let l(i) be the first derivative of q(i). Determine l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328798 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/160 + f**4\/96 - f**3\/48 + 3*f**2. Let r(w) = 0. Calculate w.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**1))**34*(((u**(2\/5)*u)\/u)\/u)**(-11\/3))**(-1\/7))**(-6\/19) assuming u is positive.\nAnswer: u**(66\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-5))\/(4 - 22\/5). Let o(k) = 54902*k**3 + 5*k**2 - 2*k + 1. Let n be o(3). Suppose -n - 117606 = a*u. What is u rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15010?\nAnswer: 2, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 113*u - 471. Calculate n(-38).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 2. Let m = -12 + 10. Let c be g(m). Is (-4)\/(-6)*(c - -26) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**7\/357 - 13*y**6\/1020 + y**5\/85 - 179*y**2. Factor p(g).\nAnswer: 2*g**2*(g - 2)*(5*g - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t + 15*t - 86 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r = -5*s - 71*r + 10, 22 = -3*s - 5*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*z - 117, 3*z - 5*g + 19 = -25. Let f be 27\/(-33) - ((-24)\/33)\/(-4). Is ((-2)\/(-8)*f)\/(z\/115828) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12220 and 243836.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114136212?\nAnswer: 2, 3, 23, 413537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5315966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 54534*t + 54536.\nAnswer: -2*(t - 27268)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 5 + 8)\/(3\/30). Let x = 44 - g. Suppose j - 8 = -2*q, -6*q + q = -x*j - 46. Calculate the least common multiple of 23 and q.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 242?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 568*z + 5111. Give r(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 32*u - 20 = 0. Suppose -10*w + 5*w - 2*v + 2653 = 0, 4*w + u*v - 2132 = 0. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(3)*-1*-2)*6)**2 - 4*((sqrt(24)\/sqrt(4) - sqrt(6))\/sqrt(2) - (sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(12)))*-2).\nAnswer: -8*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -102, -149, -194, -237?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 69. Let s(p) = -15*p - 16. Let j(m) = -10*m - 11. Let o(f) = -8*j(f) + 5*s(f). What is the tens digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 - 2*u**2 + 5*u + 10. Let r be t(-7). What is the common denominator of 196\/r + -1 + -1 and -69\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/12 - 70\/(-12). Suppose -4*h = -14 + f. What is the third derivative of -60*x**h - 6*x**6 + 70*x**2 - 3*x**6 wrt x?\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378*h - 5725*h - 250828 = 350786 - 104404 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3\/5 (b) 12.54 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) -9 (c) -2\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, d: 1, z: 8, h: 5, v: 2}. What is prob of sequence hdzz?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*u + 12, -3*k + 2*k + 3*u = 12. Let s = -4 - k. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:35 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 225208816, 225208818, 225208820?\n\"Answer: 2*b + 225208814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)\/q)**(1\/10) assuming q is positive.\nAnswer: q**(-9\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**2 + 2 + 10*v**2 + 2*v**4 + v**3 + 15*v**2 to the form k*v + f*v**4 + x + w*v**2 + d*v**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38346*x**2 - 38337*x**2 + 76682*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 9 + -2 + 2. Let i = y + -1. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 5:11 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 + 567*q**4*y - 1633*q**3 - 4*q**2*y + 612*q**2 - 4*q*y - 51*q + y - 24 wrt q?\nAnswer: -60*q**2 + 13608*q*y - 9798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 8:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 40 = 2*s, -5*s + 6*f = f - 100. Suppose -q + 615186 + 784818 = -5*g, -s = -5*q. What is g rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*k + 2878 + 5121 = 0 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6304 (base 11) to base 15.\nAnswer: 271d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1349718983*o**3 - 19 + 19 - 1349718985*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2)*(-1365)\/(-60). Suppose 92*v - 1190 = n*v. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30701387 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 807 and 18830?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 606, 742, 926, 1152, 1414, 1706?\n\"Answer: -r**3 + 30*r**2 + 53*r + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, -8, -3 in increasing order.\nAnswer: -8, -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 13 = 5*u, 6*x - 9*x = u - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 20*c - 54*c**2 + 17*c in the form l*c**2 + s + m*c and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 640 + -430. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6406, 12814, 19224, 25636, 32050?\n\"Answer: l**2 + 6405*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6)\/(3\/459 + 0) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 516 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8149 is divided by -1*15*(7 + 9\/((-189)\/161))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + k + k)*(-k**3 + 0 + 0) - 17*k**4 - 17*k**4 + 25*k**4 + (k**2 + 5*k**2 + 12*k**2)*(-3 + 3 + 2*k**2))*(0 + 0 - 4*k).\nAnswer: -104*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/((-1)\/(-2) - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*c + 41 = 0, -2*c = -3*n - 4*c + 34. Suppose 2*b = 3*b - n. Solve -7*t + 3*t = -b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:35 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164808 by -216.\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*g**3*u**2 - g**3*u - 8*g**2*u**2 + 419*g**2*u - u**3 wrt u?\nAnswer: -38*g**3 - 16*g**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-49 + 15 + 67)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 - 0.08. Let p = 3 - 2.8. What is the nearest to a in p, -4, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -h + 22 - 5, 0 = 3*h - 4*k + 13. Let s(f) = -4*f - 1. Let y be s(h). Which is the closest to -3\/5? (a) -1\/9 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.5, 5, 7189?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 10. Let a be y(5). Let f = 7 - a. Suppose 0 - f*r**4 + 0*r - 1\/2*r**2 + 3\/4*r**5 + 7\/4*r**3 = 0. Calculate r.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41022, 77648, 114284, 150936, 187610, 224312, 261048, 297824?\nAnswer: 334646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679174 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6240237 divided by -47.\nAnswer: 132771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -51. Suppose -k*j = 0, p - 3*p = 2*j - 2. What is the remainder when 3 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71030?\nAnswer: 2, 5, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -61. Let m = 211 + r. Is m a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/7 - 344*s**2\/7 - 3364*s\/7 - 760.\nAnswer: 4*(s - 95)*(s + 2)*(s + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 2*k + 6*m, 6301*k - 68 = 6297*k + 5*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*114\/48 + (-12 - -2). What is the fourth smallest value in q, -3, -0.6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(132)\/(sqrt(48) + sqrt(480)\/sqrt(10)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 81 - 61 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/30 - 7*p**4\/6 - 22*p**3\/9 + 28*p. Factor t(d).\nAnswer: 2*d*(d - 22)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let q(d) = 42*d**2 + 2*d. Calculate q(f(o)).\nAnswer: 168*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b - 11. Let d be n(0). Let q(x) = x**3 + 12*x**2 + 6*x - 7. Let j be q(d). Let m = -25 + j. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*j + 98, 0*j - 70 = -3*j + 2*p. Suppose 4 = -2*l - 24. Let m = l + j. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24 and 29533.\nAnswer: 29509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 640650 - 1154451265\/1802. What is the common denominator of 53\/2 and j?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 25*v - 19. Suppose -2000*f = -2010*f + 10. Calculate i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 0, -j - 3 = -0*j + 2*z. Suppose 56 = j*b - 3*b. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (28 - (0 + 14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3*1935\/86. List the prime factors of 2974\/10 - d\/50.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364489680.0000106 + -364489748. Let y = -68 - o. What is y rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/360 + v**3\/6 - 3*v. Let w(r) be the second derivative of q(r). Let g(d) = 10*d. Give g(w(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1735\/17 - -10547\/102. Calculate the common denominator of 3\/5 and o.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2035 = -22*y + 23*y - 3*p, 0 = 2*y + 3*p - 4106. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/28 and -109\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.3 (b) 1 (c) -1277 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59804 - 0?\nAnswer: -59804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-10 - -5) + -6 + -9 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 11*a - 13. Suppose -38 + 62 = -k. Let n(m) = 7*m + 177. Let w be n(k). Calculate s(w).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, p: 2}. What is prob of picking 1 p and 3 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 11) in base 3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(16*y - 33 + 33).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*n**3 - 54*n + 94*n**3 + 106*n + 75*n**3 - 52*n.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1621.822608 seconds?\nAnswer: 0.002681585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 114?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25278 and 572.\nAnswer: 657228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**2 - 2 + 2 + 34*a**2 + 112*a - 28*a**2 to the form w*a + n + r*a**2 and give w.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -0.5, 2\/61, -0.2.\nAnswer: -0.5, -0.2, 2\/61, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -8. Suppose 12*h = 10*h - 392. Let r = 204 + h. What is the greatest common factor of z and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 + 73*i**2 - 21*i**2 - 23*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t + 56 = -2*m, -116 = 4*m + 2*t. What are the prime factors of 5*-2*639\/m?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by -7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**3 - 13*a**2 + 13*a**2.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537020 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-295)\/(-40)*(-4)\/102. Let h = -2\/51 - o. Let n = 1 + -2. Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 + 447 = -5*c. Suppose 3*q - 5*z + 26 = 0, 5*z = 9*q - c*q - 2. Let b(o) be the third derivative of o**4\/12 + 2*o**3\/3 + 4*o**2. Give b(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n + 7*n + n**3 + 3*n - 13 - 8*n**2 - 17*n. Let m be q(8). Suppose -4*b = f - 4, 2 = -f + b - m*b. Let u(t) = -t - 6. Give u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 3. Suppose -5*p = -l - 36. Calculate the greatest common divisor of p and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 7*q - 5. Let j be b(4). Suppose -j = 5*y - 32, -40 = -5*s - 2*y. Suppose 2*d - 6 = s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 2*y**2 - 2*y**2)*((2 - 6 + 2)*(2 + 3 - 4) + 2 - 1 - 3 + (-5 + 5 - 1)*(1 + 6 - 4)).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 - (-3 + (1 - 1)). Let f = -7 - p. Suppose -2*t - 7 = -9. Is f greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4))**(1\/55)\/(((r*r*r*r**(-3\/5))\/r)\/(r\/r**(7\/4))))**(10\/7) assuming r is positive.\nAnswer: r**(-489\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 85*y**3 + 5*y - 5. Let d be o(1). Let h = -4 + 9. Suppose -5*n + 4*b = -90 - d, 0 = h*n + 5*b - 130. What is the remainder when n is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let f(o) = 3*o + 2. List the prime factors of f(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4873.69 - -36.69. Put -3, m, -2\/7 in ascending order.\nAnswer: m, -3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9340 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3733 + (2 - -4) + -3.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1164 - 3. Let n = -678 - a. What are the prime factors of n?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*y + 103*y**5 - 43*y**5 + 67*y wrt y?\nAnswer: 1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4 (c) -3.3232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35575427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let h be -1 - (-2 - 1 - k). Suppose 0 = -5*a + 5*p + 220, -3*a + 135 = -h*p + 2*p. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -11*b**4\/6 - b**2 - 357*b. Let m(c) = -4*c**2 - 2. Let s(g) = -9*g**2 - 5. Let l(r) = 5*m(r) - 2*s(r). Determine j(l(t)).\nAnswer: -88*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.1 * 0.7155.\nAnswer: 27.26055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(3 - 4 + 3)*(-7*d**2 - 3*d**2 + 4*d**2).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**2 - 2*d + 1. Let p be j(10). Let u = p + 2868. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624913103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.9 - 31. Let f = l - -13. Which is the second smallest value? (a) 0.4 (b) -1\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197 + 220. Suppose 11*r + l = -10. Which is the closest to r? (a) 0.2 (b) 4 (c) 2\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.0193256 rounded to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 3, -13 in decreasing order.\nAnswer: 5, 3, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22470)\/2205)\/(-107) - (-91)\/(-2499)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Suppose z = 3*y - 4*y + 2, 0 = -2*y - 3*z + 7. Which is the third biggest value? (a) i (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 + 28 = -5*m, -i + m = -3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285.26 - -0.5.\nAnswer: -284.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 7 - 2. Let v(b) = -b**3 - 4*b**2 + 3*b - 6. Let m be v(n). Suppose -2*s - 314 = -m*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10004 + 10006. Suppose 2*j + 3*j = 2*g - 7, 0 = -j - 1. Let z be (-12)\/4 + g\/3. What is the closest to 3 in z, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10419092 by -113251.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ftptttff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 226.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1233?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -7*k**2\/2 + 2*k - 6. Let z(q) = -q. What is c(g) - 4*z(g)?\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123 by 9.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 5. Let u be r(7). Let y be ((-1)\/2)\/(6\/u). Let h be (0\/y)\/(-2 + 1). Are h and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, z: 6}. Give prob of sequence zzzq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 8 (c) -0.03 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*g - 17 - 3, -2*g - 4 = 0. Suppose 6 = 2*d - o. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4961214.4 to the nearest 10000.\nAnswer: -4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(136*a**2 + 23*a**4 - 136*a**2) - 2*a**3 + 2*a**3 + 3*a**5 + (a**2 + 1 - 1)*(2*a + 2*a**3 - 2*a) + (-2 + 3 - 3)*(-a**5 + 0 + 0).\nAnswer: 30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1147, 3 in ascending order.\nAnswer: -1147, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -52, -189, -392, -667, -1020, -1457?\nAnswer: -1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 11*d**2 + 3*d - 1. Let f be p(-4). Which is the closest to 1? (a) -4 (b) f (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5*n - 2. Let j be p(3). Suppose -j*g = -38*g - 192. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 - i**3 - 3*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4666, -1, 4, -7, -5 in decreasing order.\nAnswer: 4, -1, -5, -7, -4666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.4 (c) -2599 (d) -2\/2061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a hour in minutes?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.5. Let z = -189\/890 + 10\/89. What is the second smallest value in v, z, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 2096.\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02083 and -1.15?\nAnswer: 1.17083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (6 + 6) - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4999634 - 2?\nAnswer: 4999632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + b**4 - 4)*(4*b - 4*b - b)*(2 - 2 + 2).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:55 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (0 + ((2 + sqrt(1008))**2 - sqrt(1008))))*5*5.\nAnswer: -25300 - 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2*i - 54 = -4*o, -2*i = -113850*o + 113850*o + 6 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 12, -27 + 75 = 4*w - 5*s. Let m = w - 16. Let y(c) be the second derivative of c**4\/12 + 5*c**3\/3 + c**2 - 4930*c. Give y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 97. Suppose -2*u = p - 4, 2*p - 17*u + 12*u = 71. Calculate the remainder when n is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 14*h**2 + h + 38. Let q be t(-14). Suppose -q*s = -22*s - 4. Suppose 6\/13*u**s + 0*u - 2\/13 + 4\/13*u**3 = 0. Calculate u.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - o = -3*v + 20, 3*o = 4*v - 44. Let w(d) = 2*d - 40. Let k be w(21). Suppose k*f = 24 + v. Calculate the remainder when 31 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281878239?\nAnswer: 6143, 208673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**4\/4 - 4*l**3\/3 - 13*l + 31. Let q be i(5). Let n = 84 + q. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 - 294*v + 1442. Give h(-24).\nAnswer: 5618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 7*u + 4. Give f(6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.41 - 1587647.\nAnswer: -1587655.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 409552 + -205212. Round c to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17845 and 30627.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-3) + 2 + (-4 - -8). Suppose -2*k + 753 + 813 = s*p, 2 = 2*k. Let t = p + -259. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 - 18*h - 18. Give t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 804473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 16*p - 215 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*t - t. Suppose t*z - 12 = z. Let m(g) = g**3 - 6*g**2 + 2*g - 8. Calculate the remainder when m(6) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 2, m: 1, d: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00496615222 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**3 + 4*y**2 + 2*y - 4. Suppose -24 = -8*k + 16. Let x = k - 3. Let w(c) = -4*c**3 + 4*c**2 + 2*c - 4. Let j(p) = x*s(p) - 3*w(p). Factor j(i).\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.5094 tonnes in nanograms?\nAnswer: 54509400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -222 and 2.6?\nAnswer: -577.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -10. Let h = -0.2068 - 0.0932. What is the closest to h in -2, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((1*sqrt(104))\/sqrt(8) - (sqrt(117) + -2*sqrt(117))\/sqrt(9)) + 3)*1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llacajjjjjjjuje. Give prob of picking 1 l, 1 u, and 1 a.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 45*s + 28. Let p(w) = -w**2. Calculate p(q(c)).\nAnswer: -2025*c**2 - 2520*c - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 52 = -16*z, -22*r = -23*r - 3*z - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29187, 58375, 87563, 116751, 145939?\n\"Answer: 29188*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -290939336 or -290939338?\nAnswer: -290939336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 0)*-5 - sqrt(153))*5)**2 + 5.\nAnswer: 137705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6522812 minus 209806.7?\nAnswer: -6732618.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2 + 26. Let t = q + 14. Let g(m) = -m + 11. List the prime factors of g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 + 7*r - 4. Let i be o(-8). Let l(a) = -a**3 + 24*a**2 - 5*a - 62. Let n be l(23). Suppose i = 4*t - n. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -4. Suppose 4*f = 3 + 1. Sort x, f, 3 in increasing order.\nAnswer: x, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4) + 3474\/12. Suppose 0 = 6*o - 9*o + 12. Suppose o*q = q + p. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzjt when four letters picked without replacement from {i: 3, a: 1, j: 5, t: 1, z: 1, l: 4}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 43\/3006?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9405 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97915779?\nAnswer: 3, 13, 401, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -q - 2*u, -u - 2 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3774146021?\nAnswer: 829, 4552649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -17314 less than -17433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2*1) - -1. Suppose g = -5*p - 5, 28 = -n + 6*n - 3*p. Is 12 + (-5)\/(n\/2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 77*b + 294. Give t(73).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.29. Let d = 1.99 - c. Sort d, 4\/7, 0.1 in increasing order.\nAnswer: 0.1, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f + 128 = 3*n, -5*n + 3*f = -215. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1 - sqrt(80))*2 - sqrt(80))\/(sqrt(100) + (sqrt(100) - -2*sqrt(100)) + sqrt(100)) + 3)*-4*3.\nAnswer: -36 + 24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o - 2. Let q be b(1). Let r(p) = -19*p - 17. Let z(i) = -9*i - 8. Determine q*z(w) + 6*r(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/80)\/(-9 - 249\/(-28)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39697 and 50419684.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - (9 - 8)) + -8 + (-10 - -9).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*k - 4*k**3 - 1343*k + 282*k**2.\nAnswer: -4*k**3 + 282*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*q**5 + 286*q**2*w - q*w - 23555*q wrt q.\nAnswer: 7080*q**3 + 572*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 65, 66, 51, 14?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -179*b**3 - 5*b**2 - 6*b. Let w be i(-1). Let c = w + -185. Let u be 44\/(-5) + (-2)\/10. Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7))**31\/(y*y**6*y\/(y**8*y)) assuming y is positive.\nAnswer: y**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -18*l + 10. Let n be d(0). Solve -n*a + 16 = -14*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*m**2 + 279*m**2 + 260*m**2.\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by (-4)\/(-3) + 4896\/54.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + -1 + (3 - 1). Let k = a + 3. Suppose -4*s + k*s + 12 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217*f**3*p**3 - f**3 + 137 wrt p?\nAnswer: -651*f**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832072583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558954449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.1751 days to hours.\nAnswer: 22612.2024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68976 is divided by 135.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) 4\/3 (b) -2.49 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6312*d**4 - 140*d**2 - 1 wrt d?\nAnswer: 151488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -266 - -0.284279048\nAnswer: -265.715720952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4522*v + 2. Give p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.78415647 and -7799.\nAnswer: -7809.78415647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-465)\/(-93))\/((-3)\/6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*m + 10 = 0, 3*r - 5*m - 18 = -58 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let s(o) = -5*o**2 + o + 339. Determine s(i(a)).\nAnswer: -5*a**4 - a**2 + 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62466*z**3 - z**2 - 5856033.\nAnswer: 187398*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4823.95127 + -4824. Let j = -0.038694 - i. Let v = -0.01 + j. What is v rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -330397723.00896 and 2.\nAnswer: -330397721.00896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10877470 rounded to the nearest 10000?\nAnswer: 10880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(720) + sqrt(720) + sqrt(720) + 3 + -3 + sqrt(720))*6)**2.\nAnswer: 414723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 4, u: 4}. Give prob of picking 1 t and 1 u.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4410?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -0*s + 66*s. Solve -z - 10 = 5*b - 29, -s = -b - z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Let n = 668354 - 890915951\/1333. Let v = n + 5\/43. Is v at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79\/4? (a) -0.4 (b) -4 (c) -2 (d) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/12 + 4*g**3\/3 - 7*g**2\/2 - g. Let i be z(6). Suppose n - 4*s = 77, -n + i*s - 3*s = -81. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345993102.4 - 0.1?\nAnswer: 345993102.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40660076 (base 8) to base 2\nAnswer: 100000110110000000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k. Let j(a) = 3901*a. Determine d(j(x)).\nAnswer: 50713*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 5\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -49, -69?\n\"Answer: -20*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 2416630*y**2 - 135343040*y + 1894857440.\nAnswer: 5*(y - 28)**2*(y + 483382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 56*n**4 + 12*n**3 - 821*n + 2. Let k(z) = -z**4 + z + 1. Let a(j) = i(j) - 2*k(j). What is the second derivative of a(g) wrt g?\nAnswer: 696*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872)*-2 - (sqrt(312)\/sqrt(6))\/sqrt(4) - (-3 + ((sqrt(117)*2*-1 - sqrt(117)) + sqrt(117))\/sqrt(9))**2.\nAnswer: -25*sqrt(13) - 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6 + 114\/(-9))*30. Let z be (-60)\/g + (-1)\/(-10)*6. Factor 0*x - z*x**2 + 3.\nAnswer: -3*(x - 2)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18356 and 2075287?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let i = -45 + 45. Which is the nearest to o? (a) i (b) -1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1137 - -3445\/3. What is the common denominator of g and ((-28)\/(-20))\/(24*(-6)\/(-630))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/6 + (-7)\/(-14))*3. Suppose d*l - 5*f + 222 = -5, 5*l = 5*f - 290. Is l greater than -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*s - 3 = 6*k, 4*s + 4 = -k. Suppose k = -12*t + 9*t + 27. List the prime factors of 13 + -16 + 13*t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-77)*12\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + z + 1142 = 0, -2267 + 843 = -5*p + 3*z. What is the remainder when p is divided by 125?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 862184 (base 9) to base 12\nAnswer: 209111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*u = -0*u + 608, 0 = 4*g + 5*u - 2531. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764120 is divided by 382060.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1814111237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 340?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1099 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*y + 218 = -1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1313 - 1016820*z + 1016820*z + 1373*z**4 with respect to z.\nAnswer: 5492*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6076996.\nAnswer: 2, 79, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (7 - 5) + -7 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 70*o**3 - 21*o**2 - 21. Let a(v) = 7*v**3 - 2*v**2 - 2. Suppose 0*d - 14 = 7*d. Give d*r(m) + 21*a(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:50 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8951.\nAnswer: 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 381, 382, 385, 390?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1569229836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 1579896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1546*u = 1550*u - 288. What is the least common multiple of 117 and u?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - a - 13 = 4*b, 1707*a + 15 = 4*b + 1706*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 17*v**3 - 20*v**2 - 12*v + 56. Determine t(3).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/(-7) - 2\/7. What is the third derivative of -4*m**3 + 4*m**l + 4*m**3 + 3*m**2 wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2337494 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 11 = 3*r, 52*r = -5*q + 56*r - 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.29872ns?\nAnswer: 0.00000729872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1254354 and 4206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 6, 22, 54, 108?\n\"Answer: o**3 - o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 + 545*g = 0. Calculate g.\nAnswer: 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 148*q**2 + 16*q + 89. Is o(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*o = -2 + 82, -4*f = 2*o + 410. Let m = f - -103. Solve 0*x + m*w - 27 = 4*x, 2*x - 4*w = -26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*q + 16, 3*q - 6 = 2*l - 14. Solve 0 - l = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103773, 418593, 944463, 1681383, 2629353?\n\"Answer: 105525*v**2 - 1755*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhjhjljlhhhjlo. What is prob of picking 1 j, 1 l, and 1 o?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*u + 6506 + 7326 = 81*u + 12*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.8. Round s to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -0*d. Let v(q) = 11*q**2 + 11*q + 68. Let w(f) = -4*f**2 - 4*f - 23. Let u(y) = 3*v(y) + 8*w(y). Let x be u(0). Solve 0*g - x = d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -291*v**4 - 2*v - 589?\nAnswer: -1164*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 1:16 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-6)\/12)\/((-2)\/(64\/(-12))))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 40*r + 41*r + 5436 = 0, 3*r = q - 1076. Suppose 3*x + 403 = -3*y + 2920, 4219 = 5*y - x. Let g = y + q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -413, -742?\n\"Answer: -329*z + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 13. Suppose -2*a + l = -2, y*l + 16 = 7*l. Suppose -4*o - 5*j - 26 = 0, a*j = 2*j - 2. Is -14\/5 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/(-572))\/(12\/(-208))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/30 + -34\/15. What is the nearest to -1\/7 in -1, 2\/15, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7010732*g**3 - 110*g**2 + g + 1022 wrt g?\nAnswer: -42064392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o - 51. Let b be l(-4). Is b != -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 28. Let d be m(8). Solve -5*r = -r + d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5710 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*i - 17 = 0, i - 3*i = -2*d + 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7 and 85\/22197.\nAnswer: 22197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-15)\/(-40)*(-4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 155562792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 17}. Give prob of picking 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -8 - (1 + -5 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30137 - -31594. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80.8 - -89. Do s and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 5. Let w be t(0). Suppose 3*b = 2*b - w. Let r(p) = -p - 9. What is r(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31501951 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 76 = 19*r. Which is the second biggest value? (a) -3 (b) r (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*j + 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*l + 20 = 4*s, -5*s + 7 = -l. Suppose o + 0 = 2*d + 5, 0 = -s*d + 5*o + 7. Let f be (2\/(-1) - -1)\/(4\/d). Sort -3, f, -4, 2.\nAnswer: -4, -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(42)\/(sqrt(6) - 2*sqrt(6)) + sqrt(567) + 1.\nAnswer: 1 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a + 0*a - 5*a)*(2 + 0 - 4)*(2 - 3 - 1).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9950851 to the nearest integer?\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70701 or -70716?\nAnswer: -70701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 278.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t**3 + 177*t**3 - 83*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1199350, 1199353, 1199352, 1199341, 1199314, 1199265, 1199188?\n\"Answer: -n**3 + 4*n**2 - 2*n + 1199349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*n = 2*j + 1, -n = 2. Calculate the remainder when 610\/40*(j - -1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.306243381 to 4 decimal places.\nAnswer: 1.3062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*h + 5, -4*h = 3*c - 14. Suppose c*v - 21 = -v. Suppose -5*p - 166 = -v*p. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11352013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 26 = -5*h, 4*k = 3*h - h + 60. Calculate the greatest common factor of 176 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 1. Let l be p(-1). Is l*(-8 + 4 - -71) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 - 4*r - 3. Let d(x) = x**3 + 11*x**2 + 12*x + 2. Let a be d(-10). Let m be (114\/9)\/(1 + 15\/a). Let o = -82 + m. What is q(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -7 in descending order.\nAnswer: -0.1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 54 = 2*j - 2*f, j - 3*f = 21. Suppose -u - u = -j. Solve -u*s = -s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -273*x - 1603. Let u be i(-6). Solve h - 23 = u*c - 31*c, 3*c + 9 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40027, -2\/7, -5.\nAnswer: -5, -2\/7, 40027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4454*d**2*s*x**3 - d**2*x**3 + 114*d**2*x*y - 956*d*s*x*y + d*s*x - d*x**3 + 24*s*x*y wrt d?\nAnswer: 8908*s*x**3 - 2*x**3 + 228*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - 2*y + 2*y)*(4 - 4 - 2) - 3376*y + 1005*y - 268*y to the form p*y + m and give p.\nAnswer: -2635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(4*u - 1 + 1) - 6*u**2 + 2 - 2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 17*g**4\/24 - 49*g**3\/2 - 9*g**2. Let n be t(9). What is the second smallest value in n, -4\/3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229934.95200305 + -229935. Let s = w - -0.048. Round s to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88993834 less than -355975331\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {x: 10, w: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-1)\/(1\/34). Let u = -5 + t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 5\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 s when three letters picked without replacement from vvhdhhhhvsvtdavtv.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/10)\/216*((-17160)\/11)\/(-20).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592 and 219188?\nAnswer: 876752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4) + (-61 - (-104 + 53))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3185 = -3*x - k + 3182, -22*k - 66 = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + i + 1. Let c(s) = 7*s**2 - 15*s + 5. Determine -c(p) + 5*m(p).\nAnswer: -17*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**2 + 12*r**2 + 5 - 12*r**3 - 5 + 2*r**2.\nAnswer: -12*r**3 + 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -20*k + 14*k. What is the hundreds digit of 2 - (1\/(-4) - (-1083)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - 2bb53?\nAnswer: -2bb71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - z - 35 = 4*z, 2*t + 4*z = -16. Suppose -3*f = -l + 2, -3*f - t*f - 10 = -3*l. Calculate the lowest common multiple of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + 4*j)*(-56 + 56 + 7*j)*(-3*j + j + j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1633 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -254140?\nAnswer: -76242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.958 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p - 4*g, -3*p + 2*g + 2*g = -12. Suppose p = -o + 2*o - 73. Let q = o + -20. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Suppose 6 + 2 = 5*k + 3*v, 2*k + 3*v = -h. Suppose -d + 13 = 2*x, -2*x + d = -d + 2. Calculate the lowest common multiple of x and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-9*3\/(-27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 16377690*d**4 - 67057182434021*d**3 - 65510760*d**2 + 268228729736100*d = 0 for d.\nAnswer: -2, 0, 2, 8188845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjzjjjjzzjzzjjjj. Give prob of picking 1 j and 1 z.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 299630?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - (1 - 2)) + -279 + (623 - 331).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 260 = -4*g, 4*z = 3*g + 256 - 17. Suppose 1 = m - z. Let a = m + -62. What is the lowest common multiple of 94 and a?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, q: 1, g: 3, b: 1, l: 2, z: 1}. What is prob of picking 2 g, 1 l, and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 374 * 2.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 213600 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 4374123 and -52.\nAnswer: 4374071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 16 + a + 7 as r + g*a and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.958 + 46. Let n = -3.042 + t. Sort 5, 0.2, n, 4\/7 in descending order.\nAnswer: 5, 4\/7, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30288029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -19561\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:25 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13310 divided by -2?\nAnswer: -6655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*g - 26234 = -7915 + 13046 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + (-1032)\/72?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 11*n**4\/4 - 6*n - 10. Differentiate m(t) with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23484839 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 23*z**2 - 112*z**3 + 2*z**2 + 3*z**2 + 15*z**2 in the form p + a*z**3 + h*z**2 + u*z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184655563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**3 - 147*g**2 + 816*g - 18. Determine i(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 47*v**4\/3 + 112*v. Let o(a) = -2*a**2. What is o(y(b))?\nAnswer: -70688*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2)*(-1 + 3). Is -3 + (131 - t\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15314*i**2 + 3926*i**2 + 1195*i**2 + 7338*i**2.\nAnswer: 27773*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x\/(x**(-1)*x))*x*x)))**(-26)\/(x**(-7\/2)*x**(-1\/2)*x) assuming x is positive.\nAnswer: x**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 8. Let i be v(-6). Let s be (-10)\/6*(1 - i). Suppose 0 = -5*x - 4*k + 35, 5*x + 3*k = 18 + 17. Solve -s = 4*z + x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 9 + 212*a + 15 to y*a + d and give y.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5789 (b) 3 (c) -2\/39 (d) 0 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8634 is divided by 315?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(114)\/(sqrt(6) + sqrt(24)))**2 - sqrt(19))*5 + sqrt(19)*-1 + -2 + sqrt(133)\/(sqrt(21)\/sqrt(3) + sqrt(7)).\nAnswer: -11*sqrt(19)\/2 + 77\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*-4*sqrt(13).\nAnswer: -24*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 292855\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*n - 2*d - 344398, -2*n + 344383 = 3*d. Let x = n + -271196. Round x to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -151, -298, -509, -790, -1147?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15147*d + 135. Let z(c) = 20*c + 3. What is k(z(i))?\nAnswer: 302940*i + 45576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 - -569. What is the greatest common factor of 58 and f?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132 (base 6) to base 5.\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-10) + (-48)\/120. Let a = 67\/236 - 2\/59. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -9\/7 (c) -4 (d) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-9)*3\/(-2)*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -110172, -116339, -122508, -128679, -134852, -141027, -147204?\n\"Answer: -z**2 - 6164*z - 104007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f + 5*f**2 + 3*f - 4 + 3. Let p(h) = -11*h**2 - 3*h + 1. Let q(g) = -5*l(g) - 3*p(g). Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 1853452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p = 89*p - 80. Solve 207*y - p = 203*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 82\/435615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 40*b - 122. Let z be r(4). What is the greatest common divisor of z and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 g when four letters picked without replacement from gzvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8315042*n**2 + 16312*n + 8.\nAnswer: 2*(2039*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-60)\/18 + 4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**8\/840 + 9*p**4\/8 + 31*p**3\/3 - 8. Let q(y) be the third derivative of r(y). Differentiate q(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1767 - -86.2767. Let a = -86 + n. Which is smaller: -13.8 or a?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -1 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 122 - 29db?\nAnswer: -28b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - u - 31 + 11, -3*y - 4*u = 29. Let w be 4 - (1 - y) - 0. Solve -6 = -5*h + 9, f + 5*h - 17 = w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407 divided by -22510.\nAnswer: 407\/22510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5712470, 11424937, 17137404, 22849871, 28562338, 34274805?\n\"Answer: 5712467*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18784?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 314467 divided by 572\nAnswer: 314467\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/(-1)*2\/(-6). Let a(u) = -2. Let s(z) = 2*z - 15. Let l(j) = -5*a(j) + s(j). Let r(i) = 5*i - 14. What is g*l(t) - 4*r(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 9:47 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17793 divided by -1977.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-6) + (-15)\/(-6). Let t be (95\/(-15) - a)*3\/(-2). Calculate the highest common factor of 235 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*q + 305, -6*i + 306 = -5*i - 2*q. Calculate the lowest common multiple of i and 264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + (-76)\/6. Let b = 0 - r. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 143, 4, 3.81, 0.5 in ascending order.\nAnswer: -0.6, 0.5, 3.81, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*n - 0*n + 198, 2*w = -3*n + 83. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 515*b**4\/2 + 19*b**3\/3 - 508. Find the third derivative of w(j) wrt j.\nAnswer: 6180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(-16)\/160\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**3 - v**2 - v - 1. Let y be w(-1). Is 3 a factor of (1 - -11)\/((-15)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 = 4*a, -4*u + 19 = -2*u - 5*a. Factor 18 + m + 2*m**2 + 0*m**2 + 32*m + 7*m**u.\nAnswer: 3*(m + 3)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-14 + 26) - 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) 0.5 (b) 0.1 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/6 - 13\/2. Let o = 0.08 - 4.08. Let b be (6\/(-4))\/3*10. What is the nearest to -2\/5 in l, b, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 824 + -857 - (26 - 3 - 0).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q - 478*q - 569*q - 292*q + 274*q as g*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1390 and 79\/4.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19803705 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123 times -305.84?\nAnswer: 343458.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:16 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:24 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 31648.8 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21\/11, 0.06, 14556, -2\/25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3624800 divided by 7880.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d - 25. Let x be l(-15). Let t(o) = -95*o + 189*o - x*o. Let i(c) = 2*c + c - 6*c. Calculate t(i(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 98\/4*(1 + (-12)\/4). Let s = 243 + u. List the prime factors of s.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**2*q**2 - c**2*q*t - 9*c**2 + 55382*c*q**2 + 3*c*q*t + 2929*c*q + 2*q**2*t + q*t wrt q.\nAnswer: 10*c**2 + 110764*c + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -241 + 249, -5*q + 3*o = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/299, -1\/5, -0.4, 5, -291.6?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.096 and 1743?\nAnswer: 1743.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/30*(-84)\/(-63)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1203825 micrograms in grams?\nAnswer: 0.0000001203825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138138 and 2520.\nAnswer: 8288280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -8. Let t = r + -4. Let o be 0 + (-3 - -8) - 3. Solve f + 22 = -o*y - t*f, -2*y = f + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 10101001?\nAnswer: 10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 5, -7427568 in decreasing order.\nAnswer: 5, -0.3, -3, -7427568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -8. Let m = j - -10. Solve 11 = 4*f + 3*y - 4*y, -m*y + 28 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*h - 966 + 966.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024139337 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 11792826 and 11792828 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v + 20 - 32 + 32)*(4*v + v - 6*v)*(1 + 4 - 3)*(-3 - 1 + 2).\nAnswer: -64*v**2 + 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837020011 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 88152 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1080.204 and -0.013.\nAnswer: -14.042652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**6\/10 - 37*h**5\/20 - h**3\/3 - 135*h**2 + 13*h + 6. What is the second derivative of n(y) wrt y?\nAnswer: 36*y**2 - 222*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1146885 - -1146888. Let z = -2 + 1.9. What is the nearest to z in i, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.695295 millilitres?\nAnswer: 0.000695295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1815) + sqrt(30)\/(sqrt(2)*2))\/(sqrt(147)*-2*1).\nAnswer: 43*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y + 4. Let z be c(4). Suppose z = 4*m - 2*m. Calculate the remainder when 37 is divided by 4\/m - 98\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -48. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/27*67\/((-45560)\/(-204)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = 2*y, 0 = 11*x - 7*x + 3*y + 14. Which is the closest to 0.28? (a) -0.3 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 1008?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 40) + (-3 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/9 or 0?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/8 - 1232*x**2 + x\/8 + 1232.\nAnswer: -(x - 1)*(x + 1)*(x + 9856)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129.6 - 115. Let u = c - 14.1. Put 11.8, -5, u in decreasing order.\nAnswer: 11.8, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-7)))**(-7\/4) assuming q is positive.\nAnswer: q**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 41. Solve -r + 3 = -w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 72*a - 25. Let k(b) = -2*b. Give k(f(d)).\nAnswer: 2*d**2 + 144*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10254441 + 3?\nAnswer: 10254444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33442 and 576794?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + -1)\/((-12)\/8). What is the second derivative of -3*v**4 + 8*v - v + 9*v**p wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 1\/2, -6, -2\/17, -12, 1\/47?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06197 - 0.13803. Let i = 0.03 - 0.13. Which is the fourth smallest value? (a) i (b) -2 (c) -4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**6 + 51*f**5\/10 + 9*f**4 + 13*f**3\/2 + 3*f**2\/2 - 5. Find x, given that k(x) = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 29*t + 16. Let x(r) = r**2 + 30*r + 17. Let k(y) = -6*p(y) + 5*x(y). Suppose 115 = -158*f + 153*f. Is 4 a factor of k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 4, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 - -92. What is the greatest common factor of 75 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 62 = 184. Let i = -75 - t. Calculate the highest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-4) + (-18)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/12 + c**2\/2 + 2. Let d(m) be the second derivative of y(m). Let a(o) = -o. What is d(a(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7884 and 9210483?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 296879896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 1. Let h(o) = o - 12. Let f be h(10). What is m(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -26, 5, -3, -1, -70 in ascending order.\nAnswer: -70, -26, -6, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -9*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58248 divided by -6?\nAnswer: -9708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let t = j + 10. Suppose -3*w = t - 12. Which is smaller: 5\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2179776 and 34656.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1408 and 1?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 7*g**2 - 3. Let l be d(5). Let c = l + -28. Suppose -13 = -2*r + 5*b, -2*r + c + 6 = -b. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1340935025 and -20738?\nAnswer: 1340914287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39363731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 40*s + 314. Determine x(-25).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -166*q**2. Let y(s) = 2243*s. What is y(j(t))?\nAnswer: -372338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 0*p + 2*j + 60, 4*j - 11699 = -11823 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5106 (base 11) in base 16?\nAnswer: 1a7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003 + 10031?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, s: 1, w: 10}. Give prob of picking 1 w and 1 x.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x + 5. Let r = -31 + 29. Let n be (-5)\/r*(-30)\/(-15). Let j(u) = -9*u + 9. Give n*k(w) - 3*j(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2974\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2491 - -2265. Suppose 0 = 4*p + 2*f - 9748, -5*p - 2*f - i = -16941. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13208899 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -5)*(-2)\/1. Suppose 4 = 2*c + 3*f - 0, -3*c = m*f - 7. Suppose -b + 6 + 11 = -2*v, 5 = c*v. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 81 - 6. Let v = 33 - c. Calculate the least common multiple of (6 + -3)\/(1\/6) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 708*t - 53131. Calculate s(246).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/265929 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-5 + -8) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538184569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -26, -36, -40, -32, -6?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1003 or 989?\nAnswer: 989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 14. Let v = 1131.9 + -1132. Which is the closest to v? (a) 0.1 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:47 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2541)*2)\/(2*sqrt(7)*-1)*-1.\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6 + 12 - 4*y + 24*y + 8. Let a(z) = -7*z - 5. Let p(f) = 14*a(f) + 5*x(f). Let c(u) be the first derivative of -2*u**2 - 1. Give -4*c(q) - 7*p(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 574809863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.9, 5, 4, -184, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1560\/(-585)*((-27)\/12)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -172*d - 530. What is g(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from afffffffaf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let u(m) = -m. Let d(c) = -3*c. Let t(s) = -3*d(s) + 8*u(s). What is v(t(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (-3 - (-3 - (-7 + 6)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 53*q**4\/4 + q**3\/2 + 11*q**2\/2 - q - 226. What is the second derivative of h(t) wrt t?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*d**2 - 96*d**2 + 639*d**2 - 96*d**2 - 98*d**2 - 169*d**2 - 92*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 531 + 1121 = 0. Solve 17*j - u*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 127\/3 + 90\/54. Let z = 99 - x. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170427871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.57 times 5?\nAnswer: 2057.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -6 + -8 - (17 + -18)) + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 0 + 0)*(-18846*w - 5779*w - 10261*w) as m + u*w + v*w**2 and give v.\nAnswer: 34886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 11*v - 6. Let y(l) = 5*l**2 - 39*l - 4. Let t be y(8). What is w(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*a**2 - 1699201*a + 1699201*a - 90.\nAnswer: 112*a**2 - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 271.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1002\/21*(6 + -14 - -15). Let i = -334 + a. Is i equal to 3\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 2, p: 1, r: 1, l: 1, m: 1, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320044044 - -5?\nAnswer: 320044053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/2*12\/(-15). Suppose -2*h - 1110 = -5*l, 0 = l + l + i*h - 430. Suppose -10*b = -15*b + l. Calculate the remainder when b is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*l - 185*l = 75. Put 9, l, -3, 11 in decreasing order.\nAnswer: 11, 9, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4673523378?\nAnswer: 2, 3, 173, 4502431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 + -85a?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104103934 and 66247958?\nAnswer: 728727538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -a8b4?\nAnswer: -a8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.027 (b) -2 (c) -3.23 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86109419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9))\/(8\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1275723 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 690, 2751, 6186, 10995, 17178, 24735, 33666?\n\"Answer: 687*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:58 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-8 + 1)) + (-81 - -80). Solve -2*b - 2*b - 4 = a*z, 0 = 4*z + b - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.53 * -203056.\nAnswer: -3965683.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 14, 0, -2, 5 in descending order.\nAnswer: 19, 14, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3649470, 7298940, 10948410, 14597880?\n\"Answer: 3649470*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730441364?\nAnswer: 2, 182610341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**23*v*v*v*v)\/((v\/(((v*v**28)\/v)\/v*v))\/v*v)*v\/v**2*v*v\/(v*v**(-29)\/v*v))**(-21) assuming v is positive.\nAnswer: v**(-1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4244 - 60?\nAnswer: -4334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 13) in base 2?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 4.03. Let u = 14.5 - 14.5. Which is the closest to -1\/2? (a) d (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) - 0 - 10044\/(-540). Suppose 12 = -15*u + o*u. Let q(s) = -s**2 + 7*s. Give q(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 4)\/2 - -184 is divided by (-3)\/((-6)\/(-188)*-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 87*s**2 - 2*s + 43. What is the hundreds digit of c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 15 = 0, 0*t - 16 = -2*t + 4*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/6*(-108)\/(-24). Let s = c - -13. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 11. Suppose -4*i - 32 = -4*y, y + 25 = -10*i + 8*i. Determine j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 7 + 48*g**4 - 50*g**4 wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21146 and 77212.\nAnswer: 8416108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*a - 1525921 - 1286979 + 627559 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43.00106 microseconds?\nAnswer: 0.00004300106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-4 + 2*g + 4 + (1 - 5 + 7)*(g + g - 3*g) - 5*g - 3*g + 2*g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.272283161 - 0.21905.\nAnswer: 0.053233161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. What is the third smallest value in 0.3, t, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, u: 3, t: 4}. Give prob of sequence tdt.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 5:05 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2342, -9360, -21054, -37424, -58470, -84192, -114590?\nAnswer: -149664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t + 127. Let i(p) = 589*p. Give b(i(a)).\nAnswer: 5890*a + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12\/5, -2\/91, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116\/3 + 38. Let w be (-2)\/(-7) + 23\/(-56). Let t = -702 + 698. What is the second smallest value in f, w, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 45*l**2 + 50*l - 1869. What is z(45)?\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 110, 284, 458?\n\"Answer: 174*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*p = -261*p + 4. Sort 0, p, 6, 3 in decreasing order.\nAnswer: 6, 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.2, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200135048 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 77*m**2 + 27*m + 191. List the prime factors of k(-13).\nAnswer: 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i - 1\/3*i**6 - 1\/4*i**4 - 13 + 0*i**3 + 0*i**5 - 4*i**2. Find the second derivative of o(x) wrt x.\nAnswer: -40*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 103785.\nAnswer: 1\/103785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -1831240?\nAnswer: -1831237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 19*v - 17*v, -3*o - 2*v = -323. Let b = -6 + 3. Put 2, b, o in increasing order.\nAnswer: b, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*f**2 + 605*f**2 + 611*f**2 + 2 - 1846*f**2 + 2.\nAnswer: -20*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, and 2 k when four letters picked without replacement from gkkkkgkpkggpkr?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 662 - -4?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, i: 14}. What is prob of picking 2 i and 1 u?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1886*r - 333878. Calculate k(-177).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/39)\/d**(2\/9))\/((d\/((((d\/d**(1\/26))\/d)\/d*d)\/d))\/(d\/((d*d\/d**(-8\/5))\/d))) assuming d is positive.\nAnswer: d**(-4577\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1576 = -21*s + 188. Calculate the lowest common multiple of 36 and s.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 + -146 - (50 - 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b = 36*b + 12. Suppose 5*a = -43 + b. Let z(c) = -17*c + 47. Does 32 divide z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*-2 - (sqrt(12) + 3).\nAnswer: -14*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(((-6251)\/49)\/(-19))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*o - o + 5 = 0, 0 = -2*d - 5*o - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-13*(-18)\/1248.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.155, 0.2, 4\/17, 1\/9?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164545097 or 164545098?\nAnswer: 164545097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 100, -764, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 + 2.14. Let h = -7678581 + 7678580.3400062. Let n = p - h. What is n rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -817283239*t**4 + 197024711 wrt t?\nAnswer: -3269132956*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**2 - 27160*t + 54336 = 0.\nAnswer: -6792, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 2*m + 5*m. Let p(j) be the first derivative of 2*j**3\/3 - 5. Give g(p(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 414.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*t - 3, 5*q + 14 = q + 2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 8 (c) 3 (d) 8131 (e) -5 (f) 1 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902787337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t - 1000 = -104*t. Sort t, 18, -5, -4, -7\/6 in decreasing order.\nAnswer: 18, t, -7\/6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -7. Let j be 3\/(-10)*b\/12. Let y = 95\/64 + 1\/64. What is the third smallest value in 0, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(117)*-2)**2 + -1 - -5*sqrt(117)*2).\nAnswer: -2802 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -16. Let l be 2 - (-3 - k - -1). What are the prime factors of 82\/l - 2\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2014 - 2956. Let f = v - -1930. What are the prime factors of f?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microsecond in nanoseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5208671*f*o - 9*o - 298331 wrt f.\nAnswer: -5208671*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let c(u) = u**2 + 94*u. Determine c(t(j)).\nAnswer: j**2 - 94*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (9 - (4 + 2) - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 50*h**2 + 8*h - 37. Let n(w) = 1076*w - 539*w - 1 + w**2 - 538*w. Let u(r) = -d(r) - 6*n(r). Differentiate u(k) with respect to k.\nAnswer: -112*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 48. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5)\/(0 - (-9)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 20000?\nAnswer: 20031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1946*q - 4283*q = 527*q + 6529*q - 281790 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 17*j**2 + 29*j + 16. Let z be v(15). Let g(a) = -a**2 + 12. Let d(s) = 12. Let t(c) = 5. Let u(b) = 2*d(b) - 5*t(b). What is z*g(x) + 5*u(x)?\nAnswer: -x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -41. Calculate the highest common factor of 66 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 59. What is the smallest common multiple of p and 8\/(2 - (-1)\/(-1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = m + m - 5*c, 5*m + 34 = 2*c. Let q = m - -15. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -4 (b) -3\/5 (c) -4\/13 (d) 422 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1080, -4664, -14390, -33330, -64556?\nAnswer: -111140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 - -4)*18\/(-8). Suppose 4*f - 13 = -t. Let n = -2221\/9 - -247. What is the smallest value in n, 5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-291)\/(-4) - 1\/(-4). Let v be (-3)\/18 - i\/(-6). List the prime factors of (v\/9 - 1)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*l - 0*u + 3*u, -u = -5*l - 1. Let q(g) = 2*g**2 - 2*g - 1. Let z be q(l). Suppose 3*w - z = 6. Which is smaller: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22776*r + 1118496 = 3509976 for r.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 877 and -148806.7.\nAnswer: -147929.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*x - 18*b**3 - 206*b**2*x**3 - 2*b**2*x + 3*b*x**2 + b*x + 34*x**3 - 9*x wrt b.\nAnswer: 6*b*x - 108*b - 412*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + -0.8. Let w be (-36)\/21 - 0 - -2. Let i = -22 + 21.6. What is the nearest to 3 in i, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 2575720254 - 2*q**3 + 2575720254.\nAnswer: -2*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -71 - f - 89 + 0*f + 156. Determine m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-130)\/(-25) + (0 - 6). Let w = 1 - -1. Which is the closest to w? (a) h (b) 1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - v + 2*v = -v. Let h(y) be the third derivative of 0*y**3 + 1\/1050*y**7 + 0*y + 0*y**5 + 1\/300*y**6 + v*y**4 + 17*y**2 + 0. Factor h(g).\nAnswer: g**3*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, c: 1, p: 2, j: 2, e: 4, w: 3}. Give prob of sequence ppje.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*z - 3 + 5 + 81*z + 4*z**4 in the form j*z + w*z**4 + a + u*z**3 + g*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*z**6 - 41*z**3 + 46323*z**2?\nAnswer: -17520*z**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000299795 to 7 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 79043.77 seconds?\nAnswer: 79043770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/952711 and 61\/1384?\nAnswer: 7621688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 9*k**2\/2 + 2*k + 221. Let f(b) = 4*b**2. Calculate m(f(q)).\nAnswer: 36*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -368*o + 15. Let k(t) = 736*t - 31. Let q(l) = 2*k(l) + 5*p(l). Is q(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -4, -1 in descending order.\nAnswer: 25, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 9 + 26. Calculate the greatest common factor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11844 + 1?\nAnswer: -11843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**8\/336 - 2*a**7\/105 - a**6\/30 + a**5\/30 + 5*a**4\/24 + a**3\/3 + 513*a**2. Find k such that i(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - -0.47. Suppose 1176 = -0*d + 7*d. Let t = d - 1174\/7. What is the second biggest value in c, t, -0.17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 2*l - 5*l)*(35*l - l - 4*l) + 2*l**2 + 2*l**2 - 5*l**2)*(0*l - 9*l + 6*l).\nAnswer: 183*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19855*0.5\nAnswer: -9927.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + d - 1)*(3 - 5 - 1) - 11675*d + 11815*d + 0 - 1 + (-1 - 3 + 6)*(0*d + 0*d - 2*d) - 3*d + 4*d - 2*d.\nAnswer: 132*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 15, -48579 in increasing order.\nAnswer: -48579, -3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1048 (b) -0.1 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 569196 and 1269342?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -132*r + 62. Calculate the remainder when 5763 is divided by f(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -2. Let t = h + 13. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -215. Let b = 146.0239525 + -0.0392525. Let j = b - p. Round j to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.069 and 1.76.\nAnswer: -0.12144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 67 = -2*k - 5*n, -2*n - 20 = -2*k. Suppose -3*r + 15 = -4*t, -4*r + 4*t + k + 7 = 0. Let x(v) = -v - 5. Let a be x(-7). Solve 3 = a*o - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 410*a - 52*a + 14559 = 133*a for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118357267 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5524387775.\nAnswer: 5, 220975511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/50 and (-595)\/90 + 0 - -1.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9379*q**2 - 2235*q**2 - 7146*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n + 1. Let w(u) = 15*u + 1. Suppose -11*r + 25 + 70 = 8*r. What is r*w(t) - 4*x(t)?\nAnswer: 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 5) in base 7?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 + -244.5. Let w(x) = x**2 - x - 1. Let l be w(0). What is the nearest to i in 2\/5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 5*m**3 + 0*m**3 + (-2*m**2 + 5*m**2 - 2*m**2)*(-3 + 3 - m) - 4*m**3 - m**3 + m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-5 - -12)) + 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 19*s - 10*s.\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + -1.98. Let f = -82777 - -82774. What is the nearest to -2\/7 in f, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*j + 15 = 0, -4*j - 18 = -3*l - 23. Solve s + l = -5*y - 3, 4 = 3*s + y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101654 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/30 + 0 + (-4)\/6. Which is the nearest to 1? (a) o (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 77\/5) + 33\/(-5) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219358\/15 + -14624. What is the closest to l in 0.01, -2, 5, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-49)\/690)\/((-7)\/(140\/(-8))) and 137\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/4 (c) 2 (d) -1 (e) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 10 = -i + 4*q, -q + 5 = 0. Let g(f) = -4 - 10*f**2 - 10 + i - 7*f + 9*f**2. Determine g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**27*(s*s**(-8)\/s)\/((s*s**(2\/5))\/s) assuming s is positive.\nAnswer: s**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/25 - (1 + 9) - (-4)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -602 + -260446?\nAnswer: -261351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = 5*m, 1 = 3*m - 5*u - 39. Suppose -46 + 1 = -5*q. What is the smallest common multiple of q and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15560*g + 15698*g - 2703*g - 3333*g)*(3*g - 4*g - g) as y*g**2 + r + l*g and give y.\nAnswer: -50444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 54*j**2. Let b(z) = -14*z + 30 + 35 - 65. Let t(s) = -5*s. Let q(c) = 3*b(c) - 8*t(c). Determine v(q(u)).\nAnswer: 216*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5. Suppose 0 = -j*b - 102 + 487. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from {z: 9, o: 4, t: 3}?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -3*q, q - 6*d + 2*d = 16. Suppose 8 = -z + 4*i, 0 = -3*z + q*i - 8 - 0. Suppose -4*s + z*s + 484 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f - 6. Let m be j(11). Let g be 4\/10 + (-32)\/m*-3. Suppose o - i = 3*o - 18, -3*o - g*i = -26. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/18 - -4) + 14\/(-21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*q - 115 + 3687, -o - 3*q = -1188. What is the second derivative of 12*c**2 - 2 - o*c + 2 + 1163*c wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**3 + 12*z**2 - 14*z + 20. Let x be h(8). Let g = -2563 + x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85913 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 2*i**3 - 3*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29*(-55)\/52635)\/((-2)\/(-22)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/(-8964)*(-3 + -1).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 - -4) - (0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 272 (base 8) to base 4\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)\/(2\/(-12)). Let l = a - 6. Suppose 2*t + l + 4 = 0. Let z(p) = -p - 5. Let i(h) = -2*h - 9. Determine t*z(s) + 3*i(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(sqrt(833) + 0))**2 + ((sqrt(17) - (-1 + sqrt(17)))*1 + sqrt(17))**2*-3).\nAnswer: -6*sqrt(17) + 29934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 55*b - 237 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**21*d*d**(23\/2)*d**(-35)\/d**(-19) assuming d is positive.\nAnswer: d**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*x - 19294 = -2053 + 13509 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0774719 to four dps.\nAnswer: -0.0775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35808528 and 0.5?\nAnswer: -17904264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/2 - -1) + 8. Let f = 3 + 7. Suppose 0 = -f*j + p*j + 27. Calculate the remainder when 60 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 11. Let w = -39 + 38. What is the second smallest value in f, w, -1\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104163080 divided by -2770\nAnswer: 37604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (10 - -15) + (-4 - 8) + 6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125627.3 - 125561.54817. Let d = 0.04183 - l. Let b = -66 - d. What is b rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 14 - 41. Calculate the remainder when w is divided by (-9)\/15*(24*-1 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 4, s: 2, p: 5}. What is prob of sequence sd?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10278\/(-27408))\/(21\/8680)?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -12013?\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - (-5)\/1 - -52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose -5*t + 6619 = 11*x - 15*x, 4*t + 2*x - 5290 = 0. Suppose t = -l*o + 11*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3, 2.5, -1\/10, 1.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -47. Suppose 4*p + 3*y - 2 = 0, -p + j*p + y = 8. What is the lowest common multiple of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -664*l**3 + l**2 + l - 1. Suppose 6*d - 2*d = 4. Let a be n(d). Let b = 21881\/33 + a. Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 9 - 10 + 1.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (1 - 2 - -1). Let u(p) be the first derivative of -6 + 8*p + 1\/2*p**2. Give u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23322331 (base 4) to base 9.\nAnswer: -73874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-7 + (-3957)\/(-210))) + 3\/(-10)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -92aa + 725?\nAnswer: -8685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-24 + -13)) + -31?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 + 6 + 2 - 30*m.\nAnswer: -30*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 - -4. Let c = 17.3 + -17. What is the closest to -3 in -3\/2, v, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 + 4*i**2 + 2*i + 2. Let g(k) = k + 4. Let m be g(-6). What is the tens digit of c(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -559*l + 11*l**2 - 22*l**6 + 559*l + 14*l**2 wrt l.\nAnswer: -2640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 3 - -317) + 0\/2 is divided by 57.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 126*j**2 - 13*j - 26. Let f be n(-2). Suppose 21*l + f = 28*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 17 = -2*b, -394*i + b - 7 = -387*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b + 4. Let o be (-2)\/(2 + 15\/(-6)). Suppose 2*w - 9 = d, 0*d = -w + o*d - 13. Let v = w - 2. Determine s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10218 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 561066 + 554?\nAnswer: 561653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/50 and -57\/529550?\nAnswer: 529550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -k + 20520, 76964 = 5*k + 5*j - 25676. Let n = k - 13769. Suppose 3*h - n = 17543. What is h rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461 + -457. Differentiate 125 - 16 - 241*k**4 + 199*k**4 + 344*k**v with respect to k.\nAnswer: 1208*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)\/c)**10)**(11\/4)*(c\/(c*c\/c**(-1)*c))**(-39)*c**(-2\/17)*c**(-4\/3) assuming c is positive.\nAnswer: c**(7111\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + m**4 + 3*m**4)*(-3*m - 4*m + 5*m) + (0*m**2 + 0*m**2 + m**3)*(-m**2 + m**2 - m**2).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227127057 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 25*h + 8. Let c(d) = -12*d - 4. Let f(o) = -13*c(o) - 6*y(o). Let a(s) be the first derivative of 3*s**2\/2 + 2*s + 1. Determine 13*a(q) - 6*f(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3426 + 3457 - (3 + -2 + -34).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/36*10*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 14. Let y(z) = -i*z - 98*z**3 + 2*z. Let n be y(-1). Round n to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6854179 greater than or equal to 6854187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -3*j**5\/10 + 2*j**4\/3 + 4*j**3\/3 + 19*j - 11. Let r(v) be the first derivative of a(v). Factor r(w).\nAnswer: -2*w*(w - 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(200) + (sqrt(22)\/sqrt(176) - sqrt(2)).\nAnswer: 117*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + 0.2178?\nAnswer: 0.1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5946 divided by 991?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 93*h + 0*h**6 + 0*h**5 + 1 - 4\/3*h**4 + 38\/3*h**3 + 0*h**2 + 1\/14*h**7. What is the second derivative of t(r) wrt r?\nAnswer: 60*r**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**4. Let x(n) = -n**5 + 3*n**4 - 2*n. Let f(o) = -6*s(o) + 2*x(o). What is the second derivative of f(z) wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -23. Suppose w*n + 7085 = 2293. Let y = n - 5802. What is y rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -20 + 1 + 2*d**2 - d**2 - 11. Let w(u) = -12*u**2 + 4*u**2 - 4*u**2 - u**2. Calculate t(w(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 350 = -354 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 280526?\nAnswer: 280524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 - c**5\/15 - c**4\/8 + c**3\/2 + 5*c**2. Let y be s(-3). What is the units digit of ((-19)\/4)\/(y\/(-36))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j. Let l = 52 - 49. Solve j = -d - 0*d + l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (0 + sqrt(171))*3) + 6*(sqrt(171) - (0 + sqrt(171))) + -4 - (-4*(sqrt(228)*3 - sqrt(228)))\/(-1*sqrt(24)\/sqrt(2)))**2.\nAnswer: 88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17211458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -33*n**3 + n**2 + 4*n + 3. Let l be t(-3). Let y = 2958 - l. List the prime factors of y.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**4\/24 - 11*l**3\/6 - 37*l**2. Determine z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*m + 3. Let g be 6*m\/9 - -3. Suppose -2 = -3*w + 4. Solve -5*i = -2*x + 1, 0*x = -g*x + w*i - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)\/(sqrt(40)\/sqrt(4)))\/(sqrt(10)\/sqrt(5)*-5 + sqrt(2) + sqrt(2)))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 - 4. Let f be v(-3). Find the third derivative of f*c**2 - 6*c**2 - 2*c**3 - 3*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5\/3 + 94*d**4 + 1218*d**3 + 12446*d**2\/3 = 0 for d.\nAnswer: -127, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 7*b**2 - 7*b - 4. Let d be x(-6). Suppose d*q + 42 = -5*i + 119, 4*i = 4*q + 56. What is the least common multiple of ((-9)\/(-3))\/i*5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*z - 100, 4*z - 100 = m - 5*m. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.01, 0, -2, 1?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 7 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 60 = 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 3*d**2 + 7*d - 1. Let z be o(4). Solve 0 = 4*m - 4*y + 8, -y = m + m - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348260 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*h + 133*h = -135120. Factor h - 45040 - 4*t + t**2 + 29*t.\nAnswer: t*(t + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - -20 - (-1 - 5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*s + 5*j, s + 3*j = 2*j. What is the remainder when 18 - (s - (-5)\/1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(19\/6)*(h**1)**(-5\/4))\/(h*h**(2\/27)*h**(2\/21)\/h*h)**(-20) assuming h is positive.\nAnswer: h**(78887\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 11) + (-4 + 25 - (3 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 540 = 2*q, 6*q - 5*i = q + 1310. Suppose -4*t = -154 - q. Which is greater: t or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116155 - 116102.231. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36952881779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-660)\/50 - -10)*-5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.068 and -3.\nAnswer: -18.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204632334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/54)\/(-1*1\/(-3)). Let g(b) = -7*b**2 - 6*b - 5. Let a be g(h). Let d be 5*a*8\/18*-3. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*i + 9*i + h + 5, 21*h - 1 = -3*i + 59 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 8 = 17*k. Suppose -2*t - k = 0, -5*s + 0*t = 3*t - 4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.666 - -1.78\nAnswer: 2.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*s = -53*s + 47*s - 1516 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 216 (b) -131 (c) 5 (d) 2 (e) -0.2 (f) 2\/9 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19*n - 129. Suppose 6*q - q = 5*a - 45, 31 = -3*q + 2*a. What is the remainder when o(q) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 21. Let s = 40.99989 - i. Round s to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -621.8672 - 0.1328. Let h = g - -618. Which is the smallest value? (a) -0.1 (b) 0.96 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let t(s) = 2540*s. Calculate o(t(x)).\nAnswer: 5080*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03804529 to 5 decimal places.\nAnswer: 0.03805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:13 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41143 - 133?\nAnswer: -41331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 429*t - 2. Let s be i(-4). Let l be (4 - s\/1) + 5. Let q = -1033 + l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -143\nAnswer: -14\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 42\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1637 and -3.\nAnswer: -4911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 4*g**2 + 53*g**2 + 1 + 24*g - 24*g.\nAnswer: 63*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4125240 (base 8) to base 14.\nAnswer: 2060a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*(-52 - -4). Let j = -2 - g. What is the common denominator of -79\/6 and (-5)\/(-10) - 5\/j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320422 and 80483.\nAnswer: 170784926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 + 9448*g**4 - g**2 + 103*g + 238?\nAnswer: 120*g**2 + 226752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15174 is divided by 7536.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23329124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 55*t + 410 = 242*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Suppose 2*p - 8 + h = 0. Suppose 4*z + 66 = 2*c, -5*z + p = c - 8. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -6, -5*b + 1120 = -0*b + 5*c. Suppose a = -4*q + b + 88, 3*a - 1017 = 3*q. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 5 (c) -0.1 (d) 29977 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**3 + 1\/4*k**4 + 0*k**2 - 2*k + 0. Let n(b) be the third derivative of 13*b**5\/60 + 109*b**2. What is z(n(v))?\nAnswer: 507*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448744831 a multiple of 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8550*z - 210*z + 7572*z - 429523 = 302429 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-3234)*-126 + (-54)\/28?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58482, -52601, -46720, -40839, -34958?\nAnswer: -29077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:26 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 2, i: 1, w: 1}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 6. Calculate the remainder when k(2) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1931 (b) -10 (c) -3 (d) -1 (e) 3 (f) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -54 - 272\/8\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 80. Let n(a) = 5*a**2 + 3*a + 3 - 4*a**2 - a. What is the least common multiple of n(-3) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/44968 or 0?\nAnswer: -9\/44968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*24\/(-420))\/((-13)\/(-273))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y - 76. Let m be k(14). Calculate the greatest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44506750\/671 - 66329. Find the common denominator of l and 27\/176.\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:54 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/1083 at least as big as -3774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v\/((v\/(v*v*v**(1\/3)))\/v)*v)\/v)))\/(v**(-2)*v))**(-2\/33)*((v*v**2)\/v*v**(-7))\/(v**1*v)**9 assuming v is positive.\nAnswer: v**(-2303\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(10) - sqrt(35))\/sqrt(7) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 484.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417582367.\nAnswer: 233, 673, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 294, 1102, 2440, 4308, 6706?\n\"Answer: 265*f**2 + 13*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-264)*-2*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 + (4\/(-10))\/((-2)\/10). Differentiate -19 - p*c**2 + 39 - 16 with respect to c.\nAnswer: -34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 9. Let v(h) = 2*h + 5. Calculate -4*k(r) - 9*v(r).\nAnswer: -2*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 3, 10 in ascending order.\nAnswer: -9, -4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-4)*(-32)\/8. Let g be (-8 + (-160)\/(-25))*(-35)\/14. Solve 6*c - 3*c + 3*s = -h, 0 = -g*c - 3*s - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26167 (base 8) to base 15\nAnswer: -358d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n**2. Let z(d) = -6*d**2. What is j(z(r))?\nAnswer: 756*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 25*u + 50. Let w be y(23). Calculate the highest common divisor of w and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in -0.1, 46\/11, -3?\nAnswer: 46\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*0.27957.\nAnswer: -7.54839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10301 is divided by 210?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109042 - 63357. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -454, -1016, -1802, -2812, -4046?\nAnswer: -5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 519882 + 45118. Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38778875411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -145540?\nAnswer: 145534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 31*u - 12. Let p(t) = t**2 + 1. Let n(f) = 2*p(f) - v(f). Let m be n(16). What is the nearest to 2 in m, -0.2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 1, v: 3, s: 2, h: 4}. Give prob of picking 2 h, 1 s, and 1 f.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-167)\/(501\/4))\/((-1)\/1*2\/63)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -11 - 22 - (-8 - (43 - 0))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-15)\/10*1. Suppose -w + 64 = 2*g, p*w - 3*g = g + 182. Let h = w + -62. Which is smaller: h or 7\/26?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -1) + (-8 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 1, s: 2, n: 3, o: 1, k: 1, a: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-35)*(-3 + 8). Let k = -2 + 2. Suppose k = -4*t - t - 15. What is the closest to -0.1 in 1\/6, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -628 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 35100.8 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971910 is divided by 39438.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -15*a**2\/2 - 52*a + 36. Differentiate x(y) with respect to y.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269369811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*4 - sqrt(36))\/(sqrt(72)\/(sqrt(6)*1)))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 13, -4, -3, 40 in decreasing order.\nAnswer: 40, 13, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*g - 1417 + 3848 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2. Let r = 20 + -20. Let z(f) be the third derivative of r*f**3 + 0 + 2*f**2 + 0*f + 1\/24*f**4. What is z(b(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 208*b + 4009. Let i(y) = 2*y**2. Determine z(i(w)).\nAnswer: 416*w**2 + 4009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 25, 3, -33.\nAnswer: -33, -11, -2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 39035 = 58637. Suppose -2*j = 2*j - 8. Suppose -x = j*w - 5*b - 276826, -w - 4*b = -114008. Round w to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4511559 bigger than -4511559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00260753 rounded to 5 dps?\nAnswer: -0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47075907.\nAnswer: 3, 17, 419, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:57 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v**2 - 2*v - 1. Let j be n(-1). Let u = j - 9. Let r be (u\/((-8)\/38))\/(-1). Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/1301, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 + j - 1. Let b(n) = -n**4 - 5*n**3 - 13*n**2 + 3*n - 3. Let v be (1\/(-5))\/(3\/5)*-3. Let f(t) = v*b(t) - 3*x(t). Factor f(p).\nAnswer: -p**2*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 155.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - 6*c + 2. Let y be o(-6). Let p(a) be the third derivative of -1\/24*a**4 + 0 - a**y + 0*a**3 + 0*a. Let s(f) = -2*f. What is s(p(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12) - 62\/(-12). Suppose 0 = -2*z - q + 11, -t*q + 1 = 2*z - 14. Solve 10 = z*l - 0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 6, h: 5, k: 4}. What is prob of picking 1 r and 1 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1b808?\nAnswer: -1b806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 3*r**2 - r**2 + (-3*r**2 + 2*r**2 + 2*r**2)*(-5 + 3 - 1) - r**2 + 5*r - 5*r.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 3:44 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02299926 + -0.023. Round c to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k + 6. Let n(h) = 2*h. Let q(r) = -r. Let u(l) = k*q(l) + n(l). Let m(o) = -4*o**2. Calculate u(m(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162 - 144. Solve 5*w - q + 2*q + x = 0, 0 = -2*w - 2*q - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/10)\/(3\/15). Let y = -17\/4 - t. Let o be 2 + 12\/(-9) + 0. Sort y, o, 1\/10 in increasing order.\nAnswer: y, 1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 4*v + 1. Let t be x(3). Let s = -13.6 - -2.6. Let l = 11 + s. Sort l, -4, t in descending order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b**2 + 7*b + 1\/6*b**4 + 6 - 7\/20*b**5 - 1\/6*b**3. Let q(h) be the first derivative of c(h). Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 26 = -17*f. Suppose -3*j - f + 124 = -3*w, 0 = -5*w - 20. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 756 + -1230. Let i = j - -489. Solve -i = -3*a + 2*c, 3 = 2*a - c - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13758963*m**3 - 6476026*m wrt m?\nAnswer: 82553778*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 550437 - -253960. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 1243*j. Let w(a) = -9*a**2 + 2439*a. Calculate 7*i(g) - 3*w(g).\nAnswer: -g**2 + 1384*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - 3*t)*(t**2 + 2*t**2 - 6*t**2)*(4 - 7 + 2) + (-2*t + t - 3*t)*(0*t + 0*t + 2*t**2).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*v - 33*v - 14. Let k be v\/(-6) + 86\/(-129). Let 3\/8*h**2 - 1\/2*h + 1\/8*h**4 - k + 1\/2*h**3 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10))**(-2\/5)*(p*p\/(p**(-7)\/p))**(5\/3) assuming p is positive.\nAnswer: p**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**7\/a*a)\/a*a\/a**1*a)\/(a\/a**1*a**(-6)) assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.42 + 0.08. Let x = -0.1 + n. Let d = 0.4 - x. Which is the closest to 1? (a) 0 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 3\/7 (c) 1\/2 (d) 38969684\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1598, 3059, 4520, 5981?\nAnswer: 7442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l. Let h(c) = -3 + c**2 - 3 + 5 - c. Suppose 10*o + 18 = 4*o. Let w(v) = o*h(v) + a(v). What is the derivative of w(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 0) + 7 + -11. Are i and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from mommamohooh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q + 30. Let b(c) = -c + 3. Let x be b(0). Suppose -3*o + x = -9. What is the lowest common multiple of o and p(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 180, 230?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-31 - -147 - 15)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 5*z - 1. Let g(v) = 2*v**2 + 6*v + 2. Suppose -b = 4*m - 20, 335*m - 337*m = -12*b + 40. Give b*j(x) + 3*g(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.3, 0.2, -24, 0.0017, -3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*y**5 + 40*y**2 - 40*y**2 + (4*y**3 - y**3 - 2*y**3)*(y**2 - y**2 - 2*y**2).\nAnswer: 33*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*z**5\/19 + 18326*z**4\/19 + 13102*z**3 - 5634*z**2 - 166976*z\/19 + 6440\/19 = 0. Calculate z.\nAnswer: -35, -23, -2\/3, 2\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u - 10*u + 0 + 9*u + 918*u**2 - 151*u**2 - 39. Is p(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8681501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1112\/18 - 2\/(-9). Let p be 2\/5*530\/2. Let v = p - t. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 217*f**2 - 217*f**2 - f**3 + (1 - 2*f**2 - 1)*(0*f + f + f) to the form r*f + k*f**2 + b*f**3 + d and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 6. Which is the biggest value? (a) -1\/3 (b) y (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -16. What is the remainder when 39 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 2*a**3 + a - 10 + 19 - 13. What is w(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134227927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 - ((-1)\/(-2))\/((-12)\/(-24)). Let j be (1\/(-2))\/((-1)\/22). What is the highest common factor of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s)\/(s**(-3)\/s)*s*s*s*s**5*s**(1\/3)*(s**(2\/7)*s*s)**(10\/7)*s**(-4\/9)*s*s*s**(4\/3)*s assuming s is positive.\nAnswer: s**(8594\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -26*g + 25*g. Solve -24 = -0*d - g*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030915539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(4 - 17*n + 472*n**2 - 5 - 476*n**2).\nAnswer: -16*n**2 - 68*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/54)\/(8\/(-64))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/(-1 + 0)). Let v be (u\/(-1 + 2))\/(-7). Suppose 7*b + 758 - 758 = 0. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52800 and 6078.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 20*z - 6 + 1\/2*z**2. What is the units digit of b(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*k - 44*k - 171036 = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 5*y + 2*l - 79, 0 = -4*y - 5*l + 363. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 11:48 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296*d**2 - 143*d - 2 wrt d?\nAnswer: -592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.405148 and -0.2.\nAnswer: -5.605148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -30, 2 in increasing order.\nAnswer: -30, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*i + 4, -i = i + 2*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1110904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 3*z**4 - 29*z**2 - 71 - z**3 + 15*z - 15*z to j*z**3 + b*z + c*z**2 + l*z**4 + a and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b*l**3 + 5*b*l**2 - 2488*b*l - 16*b - 16746338*l**3 - 13 wrt l?\nAnswer: -48*b - 100478028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let l(g) = g + 5. Let b = -59 - -55. Let r be l(b). Let x(o) = -o + 1. What is r*x(a) - 4*s(a)?\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-27))\/8)\/((-4)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18558*s**4 + s**3 - 1935*s**2 + 8876*s - 2406 wrt s?\nAnswer: 222696*s**2 + 6*s - 3870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 7. Let g be w(-5). Suppose -2*c + 4 = -6*c. Let o = c - g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4 + 4 - 4*x**2. Let j(k) = 2*k. Let q(a) = a. Let d(b) = 5*j(b) - 8*q(b). Determine d(l(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1802, 3773, 5820, 7943?\nAnswer: 10142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*d + 17, -d + 2*f + 3*f = 23. Suppose -v = d*v - 3. Solve 0 = -r - 3*w + 5, -5*r - w - w - v = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*h**2 - 2 + 2419272*h + 17*h**2 - 2419272*h.\nAnswer: -893*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2548\/(-429) + (-48)\/(-8).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*k - 657*k - 36 = 3*y, 7*y + 60 = -k for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.1977 - -10.992. What is x rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(2*sqrt(512) + sqrt(8)).\nAnswer: sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -524.\nAnswer: -524.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -11401?\nAnswer: 11353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 1) + (-7 - -4) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 33 + 13. Suppose -2*o = -6*o + 24. Let m(d) = 8*d + 3 - 6*d**2 + 5*d**3 + o*d**2 - 14. Let u(b) = -2*b**3 - 3*b + 4. Give l*m(i) + 11*u(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 2\/11, 171, -1626, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 8*g**2 - 2*g - 6. Let b be p(-8). Calculate the remainder when (222\/15)\/(b\/25) is divided by (2 + 3)*(-1)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474177 (base 8) in base 9?\nAnswer: 715631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 44*f**4 + 598*f**3 + 2512*f**2 + 3401*f + 1444.\nAnswer: (f + 1)**2*(f + 4)*(f + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -107*s - 77. Let v(j) = -2*j**2 - 2*j + 44. Determine v(h(q)).\nAnswer: -22898*q**2 - 32742*q - 11660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21221 by -7.\nAnswer: 21221\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let w = -3.025 + n. What is w rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.5, 0, -15910, -0.053?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 108, 214, 320, 426, 532, 638?\n\"Answer: 106*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 2, o: 2, m: 1, g: 2, n: 1}. What is prob of sequence umc?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1188726 by -108066.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (9 - 16 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9180.31 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:47 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**2))\/(d**0\/d))\/(d**3\/d**2) assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204632 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + 0 + 6*(0 + (sqrt(627)\/(sqrt(275) + sqrt(11)))\/(sqrt(36)\/(sqrt(12) - sqrt(48)\/sqrt(4) - sqrt(12)) - sqrt(3))))**2.\nAnswer: 8*sqrt(19) + 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**5 - k**4 - 5*k**2 + 2*k + 3. Let j(a) = 2 + 2*a**5 + 2*a**4 - 10 - 5*a - 5*a**5 + 14*a**2. Let x(l) = 8*c(l) + 3*j(l). Factor x(h).\nAnswer: -h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 - 715408*k**2 + 2146252*k - 1430840 = 0?\nAnswer: -178855, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 10*y - 96. Let i(j) = -j**2 + j - 4. Calculate 10*i(t) - p(t).\nAnswer: -9*t**2 + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 4 + 5 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 456902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 18 + 17 + 0*z**2 - 2*z - 3*z**2 + (3*z - 2*z - 2*z)*(2*z**2 + 0*z**2 - 4*z**2) to c*z + n + y*z**2 + f*z**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -671.641721 + 671.6. Round o to three dps.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + z + 879, -6*g + 11*g - 555 = -5*z. What is the lowest common multiple of 275 and g?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) - 3*-2*sqrt(153) - sqrt(153))\/(sqrt(9)*-3*5))**2 + 2.\nAnswer: 2498\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006248346 to seven dps.\nAnswer: 0.0006248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7303*n**2 + n**3 + 3656*n**2 + 3645*n**2.\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.1. Let k(f) be the third derivative of 5*f**4\/24 - f**3\/6 - f**2. Let q be k(1). What is the closest to n in -3\/4, q, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 1, -1\/8, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.174 - -0.174. Which is the third biggest value? (a) 5 (b) s (c) -0.115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 9*a**2 + 3*a**2 + 7*a**2 - 3*a**3 - 36*a - a**2 + 24 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*z - 39, 6*l = z - 29 + 26 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -1)*4\/5. Let y = 5 - v. Let j(r) = 3*r. Let u be j(1). Solve y = m + u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n - 3*n - n)*(n + 4*n - 6*n) + (4*n - 14*n - 9*n)*(0*n + 4*n - n) in the form o*n + x + m*n**2 and give m.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 6171279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -258 - 56 + 24 + o. Let t be 4\/14 + 16\/(-56). Let b be u(t). What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3729 or -3727?\nAnswer: -3729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331086617.\nAnswer: 7481, 44257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(125) - (sqrt(125) + -4))**2)*3*1*2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(3\/7)\/(f**(-3)*f*f*f**(1\/7)))**(-2\/49) assuming f is positive.\nAnswer: f**(-6\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232171.38 minutes to weeks.\nAnswer: 23.032875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402 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: b\"What is the hth term of -1430, -1418, -1382, -1310, -1190, -1010, -758?\n\"Answer: 2*h**3 - 2*h - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l + 3*l - 5*l)*(-2 - 1 - 3) to the form h + t*l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, 5, -9512, 1\/3 in increasing order.\nAnswer: -9512, -4, -3, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1727, -1884, -2139, -2492?\n\"Answer: -49*v**2 - 10*v - 1668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 10\/19, 14\/31, -0.0386 in descending order.\nAnswer: 10\/19, 14\/31, 0.3, -0.0386, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 381167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -555218 divided by 2\nAnswer: -277609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85500 by -125.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/30 + b**4\/4 + b**3 + 8923*b**2. Let q be 0 + -1 + 4\/(-4). Let d(f) = -f**2 - f - 1. What is q*o(c) - 12*d(c)?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 1525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 3. Let p be u(3). Suppose -5*x + 29 = -p. What is the remainder when 19 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**2 - 3*q - 1. List the prime factors of c(-6).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**12)**(-2\/27)*(r*r**(10\/7)\/r)**(-2) assuming r is positive.\nAnswer: r**(-722\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let j be (-60)\/(-45)*(-39)\/(-4). Let g(b) = -2*b + 3*b + b + 6*b - j*b. Determine g(k(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/sqrt(4)*-3)\/(5*sqrt(24)\/sqrt(3)))**2 + (-2*sqrt(196) - sqrt(49))\/(sqrt(224)\/sqrt(8)).\nAnswer: -5*sqrt(7)\/2 + 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - 10. Let c be -2 - g*1\/2. Is c\/(8 - 2)*72 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168189 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, r: 5, f: 1, s: 1}. Give prob of picking 1 r and 1 l.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404689 is divided by 1587.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -68. Suppose -101 + 286 = -5*a. Let q = s - a. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let a(f) = -21658*f**2. Calculate a(p(x)).\nAnswer: -86632*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*a + 262 = -89*a. Suppose -5*r + 2*i = -342, 6*r - 4*r - a = -5*i. What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 912248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19270*p + 173439. Determine q(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 0 + sqrt(242))**2 - ((sqrt(242) - (0 + 1 + sqrt(242)))*-6)**2.\nAnswer: -66*sqrt(2) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Calculate the least common multiple of (-2)\/(18\/10 - 2) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*(104\/13)\/(-88) + (-30)\/(-165)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + l - 3. What is the tens digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-54) - 3) + 4\/18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -708 - -690. What is the smallest value in 4, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2. Let w(y) = -113161*y**2. Calculate n(w(x)).\nAnswer: -25610823842*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 395070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 3. Let h(m) = 4*m - 4. Suppose 0 = -4*n + 4*v - 5*v - 23, 0 = -4*n - 5*v - 35. What is n*f(s) - 4*h(s)?\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 z when three letters picked without replacement from {z: 5, g: 1, l: 4, m: 3, a: 1, x: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5100, 5537, 6274, 7311, 8648, 10285?\n\"Answer: 150*t**2 - 13*t + 4963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 3\/122, 0.3, 0.11, 1\/3?\nAnswer: 3\/122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113583223*o - 133170671?\nAnswer: 113583223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3\/4, 1\/8, -4, 2\/15, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeceoeeowocccccochhe. Give prob of sequence ceee.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/5)\/(-1))\/(282723\/80778)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/8)\/((-1)\/(-4)). Let a(n) be the second derivative of -n**3\/3 - 5*n**2\/2 + n. Let y be a(l). Let j(m) = m - 7. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 812, 670, 526, 380, 232, 82, -70?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/((-3)\/(-8)). Let b be (u\/18)\/1 + 65\/(-90). Sort b, 0, 1\/3, -1\/8.\nAnswer: b, -1\/8, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -178.28 and 932602.\nAnswer: 932423.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28809, -28054, -27299, -26544?\n\"Answer: 755*l - 29564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2386\/5, 0.3, 7587\/4 in descending order.\nAnswer: 7587\/4, 0.3, -2386\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 10.79616.\nAnswer: 10.99616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/65, -13, -2, -1\/2, -0.4 in decreasing order.\nAnswer: 22\/65, -0.4, -1\/2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94007 - 0.09387.\nAnswer: -1.03394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x + x + 69 - 197 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 15 = -t + 1, 4*v + t = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqv when three letters picked without replacement from {v: 1, x: 2, q: 1, f: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/50)\/((-30)\/(-600)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 18*t + 23. Let k be l(-10). Let u be 0\/k + (-87)\/(-29). Solve u*n + s + 3 + 3 = 0, -n = s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/64*1308\/(-10791)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1 + 359*g + 5.\nAnswer: 359*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5103092 and 62812.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -6*q + 2*q. Let h = q + 27. Suppose -5 = -l + h. Solve -4*c = -3*c + 3*z - l, -22 = 2*c - 4*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42016 is divided by 750?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*x**3 + 3*c*x**2 + 25*c*x - 359*c + 46*x**3 + 2*x**2 + 2 wrt x?\nAnswer: -12*c*x + 6*c + 276*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 + 8*k**2 - 3*k**2 + 6*k**2.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6370)\/735 + (-1)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 4, 81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 0\/(6\/2). Let t be (h\/(-4))\/((-2)\/44). Solve d + t = 5*d + 3*f, -2*f = -4*d + 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (884\/8)\/(9\/18) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58849 divided by 260\nAnswer: -58849\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + -69. Let g = z + -95. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53203*p**4*x**2 + 305*p**4 + 926*p**2*x - 483*p + x**2 wrt p?\nAnswer: -1276872*p*x**2 + 7320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 81. Let n = -127\/3 - z. Let x be ((-6)\/108)\/((-3)\/(-12)). Which is the nearest to 0? (a) x (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1120)\/(-216)) - 2\/10\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3192018303 to the nearest integer?\nAnswer: 56498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 9*o**2 + 11*o + 10. Let u(p) = -p**3 - 10*p**2 - 9*p - 10. Let d be u(-9). Let g be s(d). Let g + 2\/9*b**2 + 2\/9*b = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44429?\nAnswer: 7, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 1)*2 + sqrt(1872) - sqrt(143)\/(1*(sqrt(66)\/sqrt(6) + sqrt(11))).\nAnswer: 2 + 71*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h**7\/7 + 11*h**6\/5 + 27*h**5\/4 + 81*h**4\/8 + 27*h**3\/4 - 6*h + 1. Factor v(w).\nAnswer: 3*w*(w + 1)*(2*w + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*s + p, s - 2*p + 2 = -5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c**2 + 479254*c\/3 - 894712\/3 = 0 for c.\nAnswer: -15977, 28\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(684) + 5 - (sqrt(684) - (-2 + sqrt(684))*3))*3)**2.\nAnswer: -3888*sqrt(19) + 886545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 391*r - 5030. Give x(12).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51666 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*d - 888, -1720 + 239 = -5*k - 4*d. Let t = k - 292. Solve 3 = 2*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3*t**3 + 77*n**3*t**2 + 21*n*t + t**3 wrt n.\nAnswer: 24*n*t**3 + 462*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18894 is divided by 6175?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241558 + -162937. Suppose -2525559 = 4*z - 3*o, 3*z - g + 1972786 = -2*o. Let b = z + 2431389. Round b to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Let z(v) = -3*v + 2. Let j(x) = -2*x + 31. Let i be j(14). Give i*z(o) + 7*k(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1705*t**2 + 185*t**2 - 841*t**2.\nAnswer: -2361*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93888 and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - q - u - 3 = 0, -4*u = 5*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*n + 53. Sort n, -31, -5 in decreasing order.\nAnswer: n, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*i + 9 = -i, 4*z - 24 = -4*i. Let l be (-10)\/4*(-4)\/z. Suppose l*p = 27 + 21. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4964*p = -568*p + 309308 - 49304 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17*j + 4. Suppose -5*y + u - 8 = -2, 4*y = 4*u - 8. Let d be (y + 6)*9\/9. Suppose -46 = d*r + 19. Let p(w) = -8*w - 2. Determine r*p(l) - 6*z(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 802 by 15431.\nAnswer: 802\/15431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-20)*50\/(-75).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 172064 divided by 326\nAnswer: 86032\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-206)\/(-2163))\/((-12)\/(-27)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Suppose 0 = -7*s + 4*s + 153. Suppose 0 = 5*k + 2*b - 209, 0*k - s = -k - 5*b. Let j(i) = k + i - 41. Calculate j(p(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 (base 15) in base 5?\nAnswer: -13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*u + 8675 = 100*u - 10981 for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let h = -11937 + 11941. Find the second derivative of -4*u**w + 5*u + 3*u**4 - 8*u**h wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -25, -44, -69?\n\"Answer: -3*t**2 - 4*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 32*q**4 + 2472*q**3 + 46804*q**2 - 36192*q + 6084 = 0.\nAnswer: -39, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) - (sqrt(1323)*2 + 1))*3 + (sqrt(1323) + 0 + 3 - 2*sqrt(1323)*-2))**2*-4.\nAnswer: -21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 136955.46 to the nearest one thousand.\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1259.9 + -1259.9. What is the closest to h in 0.2, 0.5, -4\/3, 32.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/6)\/a**(-10))\/(a**32*a*a**(-2\/9)*a))**(-1) assuming a is positive.\nAnswer: a**(431\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - (11 - 22 - -25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5647, -45177, -152469, -361405, -705867, -1219737, -1936897, -2891229?\nAnswer: -4116615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - 65. Let o = 191 + u. What is the highest common divisor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 41*i + 47. Calculate z(42).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.120793 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.491 from 2.1655225.\nAnswer: 1.6745225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 2*t**2 - 3*t + 7. Give i(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -14*f + 40. Let k = 207 + f. List the prime factors of k.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1753, 13, 1 in decreasing order.\nAnswer: 1753, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16144\/9081*3\/(-12)*(-3)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 1\/6*y**3 + 1\/24*y**4 + y**2 + 1\/60*y**5 + 0 + 0*y - 1\/24*y**6. Determine k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d**3 - 712*d**2 + 8416*d - 1181. What is m(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*156\/(-1638).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:06 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 + 2016*p**2 + 336501*p = 0. What is p?\nAnswer: -363, -309, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/20 - o**3\/2 - o**2 - 474*o. Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 787 - 369. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-916)\/(-36) - (2649 + -2624)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.04 + 4.5. Let v = n - -0.04. Which is the biggest value? (a) v (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 41*h**2 + 2 + 2*h**3 + 41*h**2. Let a be o(2). Let s = 21 - a. Solve -18 = s*n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-10))\/((-3)\/15). Let o = 6 - d. Is 2\/4 + 47\/o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 2\/3*b**4 + 0*b**2 + 0 + 0*b**3 - 17*b - 2\/5*b**5 + 1\/15*b**6. Factor h(g).\nAnswer: 2*g**2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681380155 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Let w be 2\/(-6) + (-139)\/(-3). Suppose k - 8 = -r, b*k - 21 = 4*r + w. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + ((sqrt(27)*1)**2 - sqrt(3))).\nAnswer: -6*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2485001 = 5*b + x, -4*x - 1490996 = 3*b - 6*b. What is b rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.183.\nAnswer: 0.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*b - 23 = 0, 0*b - 28 = -4*s - 4*b. Suppose s*v + 72 = 14*v. Suppose 12*u - 114 = v*u. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(6\/(-12)))\/(84\/3204*(-36)\/42)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(5*m**4 + 2*m**2 - 4*m**4 - m**3 + 2*m**4).\nAnswer: -3*m**4 + m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**2 + 5*j. Let m(l) = -28*l**2 + 15*l. Let r(s) = -2*m(s) + 7*w(s). What is the second derivative of r(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*m - 8 = 0, 0 = 4*w - 3*m + 10 - 2. Let u be (0\/2*1)\/w. Suppose -3*l + 1 = -14. Solve u = l*y - 0*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58937252.\nAnswer: 2, 11, 191, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 4:10 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 29752.17 micrometers?\nAnswer: 2.975217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-324)\/(-40))*(-6)\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 0 - (10 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 0*h - 3*h + 3 - 3 - h + (-5*h + 5*h + 2*h)*(-14 + 5 - 6) - 5*h - h + 5*h + (0*h + 0*h + 2*h)*(0 - 3 + 2) - 32*h + 2*h + 0*h.\nAnswer: -63*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837 - (54\/135)\/((-2)\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 404 + 0?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*5\/9*27\/45. Solve 20*r - 63 = -p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1290, 1295, 1304, 1317, 1334, 1355, 1380?\n\"Answer: 2*r**2 - r + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 16*x + 30. Let q be r(14). Factor 0 - 5*b**q + 75 - 4*b**2 + 30*b + 12*b**2.\nAnswer: 3*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6940, -6938, -6946, -6970, -7016, -7090, -7198, -7346?\n\"Answer: -b**3 + b**2 + 6*b - 6946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + 15, 26 = -2*c - 2*g. Let z = 6 + c. Let o be (z + 5\/2)*0. Which is smaller: o or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116319.29 times -0.15?\nAnswer: -17447.8935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 2*d**5 + d**4 + (-3*d**4 + 5*d**4 - 3*d**4)*(-d + 0*d + 2*d) - 4*d**5 + 0*d**5 + 5*d**5 + d**2 + d**5 - 3*d**2 + d**2.\nAnswer: 3*d**5 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1020\/7)\/5 - 3\/21. Suppose 0 = 5*x - f - 6. Let y(v) = 6*v. Let o be y(1). Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbbbsbbbsbbbbbsbb. Give prob of sequence sssb.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 41. Is ((4\/v)\/(-1))\/((-1)\/814) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*y - 70. Suppose 2*l - y*l + 28 = 0. Solve l*u + 4 = -8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/300 + 562*r**5\/75 + 21131*r**4\/4 + 209814*r**3\/5 + r**2 + 20*r - 21. Find f such that z(f) = 0.\nAnswer: -561, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((w\/(w\/(w*w**11*w)))\/w)))\/w)**(2\/139)\/((w\/(w**18\/w))\/w**(8\/7)))**(-18) assuming w is positive.\nAnswer: w**(-303012\/973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(5) + -5.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0168037378 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 31*v**3 - 58*v**2 - 14*v - 184. Is g(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in 10.81, 0, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/30)\/(1\/(-30)). Solve 0*n = -3*n + d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2525 and -7.61?\nAnswer: 2532.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25292221 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -5*x**7\/42 + x**6\/6 + x**5\/2 - 5*x**4\/6 - 5*x**3\/6 + 5*x**2\/2 + 17*x. Suppose d(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 + 424.5. Let c = n - 160. What is the closest to 0.1 in 6, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 6*i**5 - 4\/7*i - 26\/7*i**4 + 0 - 38\/7*i**3 + 26\/7*i**2 = 0.\nAnswer: -1, 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27789413, -27789417, -27789417, -27789407, -27789381?\nAnswer: -27789333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose -p*s = 3*o, 4*o - s = s. Suppose 15 = -3*y, -2*k + 3*k - 5*y - 58 = o. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/5)\/(24\/(-60)). Let t(d) = -20*d - 20. Let l(w) = 7*w + 7. Determine m*t(g) + 17*l(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 169114, 338194, 507242, 676258, 845242, 1014194?\n\"Answer: -16*w**2 + 169128*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 2 - (0 - -2). Let u be 4\/140 + 3\/(-5). Which is the second smallest value? (a) 4 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**2 + 0 + 0*c**4 + c + 0*c**3 + 1\/20*c**5. Differentiate y(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1, -2\/53, -4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20046\/(-104)*(-64)\/6. Suppose g = -16*f + 14072. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 5. Let b(d) = -d**2 - 2*d + 6. Let m(k) = 2*b(k) + 3*i(k). Let t = -20 - -22. Suppose -4*n = -t*n. What is m(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4102, -8785, -14046, -19885, -26302, -33297?\nAnswer: -40870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 30. Let d be l(-10). Solve 7*s + d*s = -35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/191487456 and 127\/1632.\nAnswer: 191487456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -163, -413, -769?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 953245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -26*s - 3. Let r be d(4). What is the remainder when 4\/(-5 - -1)*r is divided by 12\/60 - 134\/(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193200 is divided by 298282?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:30 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 4*o**4 - 16 - 6*o**4 - 3*o**4 - 6*o**2 + 14 to r*o**2 + h*o**3 + l + v*o**4 + x*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 303*r**2 - 8. Is c(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -43.924. Let q = 405.925 - 406. Let f = b + q. What is f rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/48*48\/18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 488353?\nAnswer: 5\/488353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 3*f**2 - 4*f**2)*(3 - 2*f - 3) + (2 + 2 - 6)*(3*f**3 + 0*f**3 - 5*f**3) - 1 + 1 - 2*f**3 + (6 + 22 - 10)*(6*f**3 - 3*f**3 + f**3).\nAnswer: 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 1.5. Which is the closest to 1? (a) y (b) -2\/9 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 135957822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*u - 99 = 0, -3*t - 58 = 46*u - 47*u for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94477132*i**3 + 2*i**2 + 7559304*i - 3 wrt i.\nAnswer: 566862792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -296 - -296.0374. Round r to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -65*h + 3969. Let u be j(61). Let t(s) = -4 + 0 - 4*s + 2. Determine t(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -81761\nAnswer: 2\/81761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 278*a**3\/9 + 106*a**2\/3 + 40*a\/9.\nAnswer: 2*a*(a + 1)*(139*a + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022001211001 + 1010121?\nAnswer: 1022002221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 715\/474 + 25\/158. Let r(t) be the first derivative of 26 - 5\/2*t**2 - 10*t + y*t**3. Factor r(f).\nAnswer: 5*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 - 2*u**2 - 2*u - 1. Let m be r(-1). Let c = 13 - m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/539 and 98\/165.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 384*u**3 - 12092*u**2 - 120720*u + 133200 = 0. What is u?\nAnswer: -37, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x - 225. Is 462\/10 + (-9)\/x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 + t**2 - t - 1. Let q be g(-1). Solve n - 4*u = 16, 4*n + 16 = n - q*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105350381?\nAnswer: 3, 1259, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*2 + (-252)\/(-378).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-12)*228\/(-190)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**5 - 4*a**5 - 2*a**5)*(23 - 4 + 11).\nAnswer: -150*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 890015507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/81000 and -29\/118800.\nAnswer: 1782000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -1857*p**4\/2 + p**2 + 1809*p + 4347. What is the second derivative of f(o) wrt o?\nAnswer: -22284*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513012 divided by -6\nAnswer: -85502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 3*j + 2. Let k(i) = -10*i**2 + 9*i + 6. Let s(v) = 7*h(v) - 2*k(v). Let n(x) = -x + 8. Let w be n(4). Determine s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 57. What is c(-59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-63)\/(-105))\/(1\/5)*1. Differentiate -4*x + 4*x - 127 - 109 - 75*x**y wrt x.\nAnswer: -225*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x - 9*x + 91*x**2 - 123 - 43*x**2 - 43*x**2 + 18*x in the form f*x**2 + n*x + s and give s.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:03 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12)\/(l**(-3\/4)*l))\/(l**(3\/4)\/((l\/l**10)\/l)))**1 assuming l is positive.\nAnswer: l**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125972 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35159768*b. Let n(p) = -4*p**2. What is i(n(w))?\nAnswer: 140639072*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 64\/20)\/(297\/45 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 62559, 10, 0, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36724*h + 1 + 206042*h - 1.\nAnswer: 169318*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (333\/135)\/((-270)\/(-4050)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14950856*b. Let u(v) = -2*v. Calculate u(w(a)).\nAnswer: -29901712*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1598*g**3 - 14*g**2 - 37*g - 217. Is l(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 10*r - 17. Suppose -26 + 6 = -2*k. What is the remainder when k is divided by n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 1. Let d(i) = -5*i - 3*i**2 - 1 + 12 - i + 5*i**2. Let y(t) = t - 1. Let v(r) = l*y(r) - d(r). What is the first derivative of v(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 29 = 23. Solve 5*j + 11 = x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31005760.\nAnswer: 2, 5, 96893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 72. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4586 and 87\/11456?\nAnswer: 26268608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38\/3 - -13. Which is the nearest to 0? (a) -4 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-1\/4)\/f)\/f))**(-19\/4)\/(f**(12\/5)\/(f*f*f**(-4\/11)*f*f*f)) assuming f is positive.\nAnswer: f**(-11617\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxh when three letters picked without replacement from hnggxnnxngsnsnnnhnn?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 3*n**2 - n - 6. Let j be k(-6). Suppose 5*g = 3*u - 89, 4*u = 4*g - 0*g + j. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/((-377)\/26)*-6*1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 232. Let a(m) = -2*m. What is o(a(y))?\nAnswer: 4*y - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 971 - 493 - 492 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4149407?\nAnswer: 23, 29, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 18486 (b) -3\/2 (c) 0.07 (d) 0.03 (e) -5 (f) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7354 is divided by 2443.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 165*u**2 + 6627*u + 274. Calculate c(-96).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16974.33 to the nearest 100.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8535, -33130, -73831, -130638, -203551, -292570?\n\"Answer: -8053*f**2 - 436*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 0 + -291 + 302.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let d(y) be the second derivative of y**3\/3 + 206*y**2 + y - 114. What is w(d(a))?\nAnswer: 4*a**2 + 1648*a + 169744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k. Suppose 3*c + 11 = 2*y, -3 - 2 = y. Let n be d(c). Calculate the highest common divisor of 42 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87, 188, 287, 384, 479, 572?\n\"Answer: -c**2 + 104*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1797378\nAnswer: -1797378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 13*p**2 + 30*p + 5. Let m be j(-10). What is the units digit of (-4)\/m - ((-3)\/(-15) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502886 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/4467 (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*r + 46*r - 73*r + 295*r - 47*r.\nAnswer: 583*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1727688896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4\/9, 112 in decreasing order.\nAnswer: 112, 4\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose o*n - 120 = -2*n. Suppose -2*a - 2*d = -0*a - 28, a - 2*d = 2. Calculate the greatest common divisor of a and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347310*f**3 - 21*f**2 - 39*f - 455870.\nAnswer: -2083860*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34223 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2321*q - 6131*q + 3555*q - 2012*q - 3508*q as d*q + f and give d.\nAnswer: -10417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, j: 6, f: 6, b: 4}. Give prob of picking 2 r and 2 j.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30.2*271987\nAnswer: 8214007.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -11.2. Let v = 687 - 687.2. What is the third smallest value in -3, w, v, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5.1. Let l = 1.1 - y. What is the smallest value in l, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 + 276*d**3 + 4 - 2*d + 287*d**3 - 565*d**3 as v*d**3 + k + l*d**2 + n*d and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-6 - (8 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 326532200 rounded to the nearest 100000?\nAnswer: 326500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210032.6mg in kilograms?\nAnswer: 0.2100326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17502901.\nAnswer: 13, 1346377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*j = 9*j - 70, 7 = -2680*l + 2676*l - j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1072*p - 2 - 58*p - 1 + 2 + 1298*p in the form v + m*p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12759 - -24642. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-14 + (-26 - -10)) - (6 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 11*g**2 - 10*g + 28. Let u be o(-12). Suppose -u*z - 78 + 746 = 0. What are the prime factors of z?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 3\/5, 0.67, -0.2, 1\/2, 589\/175?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(360)\/sqrt(6) - 4*sqrt(60)*1)\/(3*(sqrt(300) + sqrt(300) + sqrt(300)*-1 + sqrt(1452)*1)).\nAnswer: -5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64031 + -64009. Suppose -4*t = r - 18, -2*r + 4*t = 2*r - 12. Solve -4*k = -m + r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20516.9954693 + 20517. Round i to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:10 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 877553 * 4.\nAnswer: 3510212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/44 - 6\/11. Let v = 0 + 3. Which is the smallest value? (a) v (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 84*i**2 + 1764*i + 6860.\nAnswer: -4*(i - 35)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -1\/6*s**3 - 17\/6*s**4 + 0 + 6*s**2 - 14*s. What is the second derivative of p(w) wrt w?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9098*v - 9240*v + 16188 for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 92*b + 24. Let v be p(2). Calculate the highest common divisor of v and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 317\/366 - 2\/61. Let z = -11\/15 + f. Put -3\/8, z, -3 in ascending order.\nAnswer: -3, -3\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -17 + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*f**3*v + 575833*f**2*v - 2275*f - 8771*v wrt f?\nAnswer: -174*f*v + 1151666*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 12, l: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 16*g**2 - 191*g - 25. Let f be b(12). Put f, -1, 4, -6 in increasing order.\nAnswer: f, -6, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14019 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/8, -2.\nAnswer: -2, -3\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/99 + 503\/396. Suppose 0 = 5*w - 0 + 5. Which is the third biggest value? (a) w (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.63409l to millilitres.\nAnswer: 57634.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80 + 39 + 33)*(-274)\/936. Which is smaller: c or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from wwswjsjlsljsjlswlws.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r - 70 = 318 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 - 3.43. Let y = -0.03 - m. Let k = -24 + 25. Which is the closest to k? (a) -0.2 (b) 7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.5, -224744?\nAnswer: -224744","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Let l be (-22)\/(-24) - f\/6. Let t = 2.5 - 2.4. Which is the closest to -0.1? (a) t (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*l + 34*l - 7*l - 5*l**2.\nAnswer: -5*l**2 + 23*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131733, -131834, -131929, -132018, -132101, -132178?\n\"Answer: 3*p**2 - 110*p - 131626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591118 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmgmmmmmmm. Give prob of sequence mmg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13554 is divided by 92.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkak?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*((-42)\/(-12) - 3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4\/(-18) - (-1778)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 91 - 130*k + 2 + 139 + 5*k**2 + 120*k. Is u(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + m + 3*m = -23, 4*m + 11 = -3*o. Suppose -x = o*x. Solve 4*a - p = -1, 4*a + x*p - 14 = -2*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6368\/(-2736) - (-3500)\/1575?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 53830?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 33764 in ascending order.\nAnswer: 1, 3, 4, 33764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {m: 2, z: 1, l: 1, p: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(116\/(-24) - 3\/(-9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -11. Let z = 22 - 28. Let f be -3 + i\/z*-2. Which is the third smallest value? (a) 1\/3 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/15 + -1 + 0. Let a = -0.0028955 - -0.5028955. What is the smallest value in h, -1\/49, a?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1 - 7*q**2 + 6*q**2 - 1. Let o(y) = -6*y. What is o(v(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5270 times 29075\nAnswer: -153225250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*m - 60, -5 = 3*m - 5*n - 46. Let p(f) = 14*f**3 - 17. Suppose -b + 18 = 2*b. Let c(d) = -2*d**3 + d**3 - 4*d**3 + 6. Give b*p(q) + m*c(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -7, -4, -3, -4?\n\"Answer: -g**2 + 8*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992617 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -0.44. Let h = n + 0.6. Let j = h - 0.119985. What is j rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 8. Is 670\/c - 36\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12 - ((-1715)\/260 - -6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 709, 1463, 3503, 7471, 14009?\n\"Answer: 107*c**3 + c**2 + 2*c + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 174, 171, 168, 165?\n\"Answer: -3*o + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 11734*n\/3 - 34421689\/3.\nAnswer: -(n - 5867)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-2*g + g + 2*g)*(-32 + 381 + 501).\nAnswer: 2550*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -26, 4.\nAnswer: -26, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwdw when four letters picked without replacement from wduu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q + 1. Let u(n) = 4*n**2 - 6*n + 6. Let k = 14 - 15. Let b(x) = k*u(x) + 6*w(x). Let g(p) = 7*p. What is b(g(y))?\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {a: 3, p: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-808)*52280\/(-91490).\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -8\/14741045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38118.2 rounded to the nearest 100?\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -15284*v + 962896. Determine y(63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let q = -0.4 + 2.9. Let w = q - 3. Which is the closest to s? (a) 0 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 293303, -2?\nAnswer: 293303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Suppose 2*w = 3*r - 5, 5*r + 3*w + 2*w = 25. Suppose -j + 138 = 4*c, -2*c - 2*j + 72 = -r*j. Calculate the highest common divisor of l and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 371*x - 370*x + 303888, -2*q = -4*x - 607774. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:16 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s. Let n(g) = -2*g + 4. Let y(l) = -l + 1. Let m(a) = -n(a) + 3*y(a). Let p(t) = -5*t - 4. Let i(b) = -4*m(b) + p(b). Determine i(x(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*m + 12 = 0, v - 4*m + 23 = -0*v. What is the remainder when 13 is divided by 10\/v*(-18)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5 - (84564\/13770)\/18\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1010737763 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14356513?\nAnswer: 14356513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14922*u*z + 11746*z wrt u?\nAnswer: 14922*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 270 + -242. Calculate the remainder when 50 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 - ((-3 - -4) + -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 3\/(-6))*1*-2. Which is smaller: u or -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*r - 39*r + 2 - 7*r**3)*(-9 + 3 - 11) to z*r**3 + k*r**2 + t*r + b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 2*h + 1. Let i be u(-1). Suppose -3*m + 2 = -4. Solve 0 = -4*y - 8, -5*j + m*y + i - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/90 - 23*k**4\/36 + 22*k**3\/9 - 2*k**2 - 41*k. Factor i(l).\nAnswer: 2*(l - 22)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 9*o - 5*i, -5*o + 4*i + 1117 = 1191. Let a(w) = -w**3 + 4 + 2*w - 4 - w**2. Determine a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4*588\/(-2450))\/((-3009)\/118)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2940505 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n**4 + 25*n**3 - 14*n**4 + 11 - 16 + 32*n**4 + 2*n**2 to b + t*n**3 + y*n**2 + z*n + s*n**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmhr when four letters picked without replacement from {r: 13, m: 2, h: 2, q: 3}.\nAnswer: 26\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 - 4*p**3 - 37*p**2\/2 - 26*p - 45\/4.\nAnswer: -(p + 1)**2*(p + 5)*(p + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/(((o\/o**(1\/23))\/o)\/o))**13\/((o*o*o*o**(-1\/2))**(-4\/9)\/(o**(-2))**(-33)) assuming o is positive.\nAnswer: o**(30709\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1729*j + 836*j - 7541 = -56276 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3635 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -35*u**2 + 27. Let o(v) = -9*v**2 + 7. Let q(t) = -2*b(t) + 9*o(t). What is the first derivative of q(y) wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*k - 71*k + 223*k - 84*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 189 and -0.03.\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 12) to base 10\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8882504 millilitres in litres?\nAnswer: 0.0008882504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1302 - -1346. Is p smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 + 75*q**4 + 8*q**4 + (-18*q**2 + 2*q**2 + q**2)*(-3*q**2 + 2*q**2 - 2*q**2).\nAnswer: 132*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22001*f**6 + 7833*f**2?\nAnswer: 2640120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = -4*i, -3*i - 8*d = -6*d + 6. Suppose -2*j - 714 = -2*l + 314, 4*l + 4*j - 2016 = i. What are the prime factors of l?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + ((-575710)\/(-47940) - 5). Let m = -2\/859 - -1047\/80746. Let l = d + m. Sort 4, l, 0.4 in decreasing order.\nAnswer: 4, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 388 - 268. What is the highest common divisor of 60 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21321*c**2 + 7015*c**2 - 6511*c**2 - 3520*c**2.\nAnswer: -24337*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 - 4*h + 1. Determine n(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(432) + sqrt(11)*-3*-5 - ((sqrt(99) + sqrt(99) + -2 - sqrt(11))**2 + -4 + sqrt(11)*-4).\nAnswer: -275 + 235*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 46\/15*o**3 + 0 - 16\/15*o**4 + 8\/5*o - 56\/15*o**2 + 2\/15*o**5 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57cb (base 13) to base 8.\nAnswer: -30057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9321, 9341, 9373, 9417, 9473?\n\"Answer: 6*b**2 + 2*b + 9313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -24.6.\nAnswer: 295.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 103443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*j + 2*j - 4*d, -4*j - 2*d + 72 = 0. Let i be 7097\/799 + (-2)\/(-17) + -1. Solve 5*z + i = -j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 2. Let n be z(0). Let k be 8 - (n*6)\/(-4). Sort -2, 2, k.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 437550951115 + 0.6.\nAnswer: 437550951115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p**2 + 6. Let y(x) = x**2 + 1. Give -v(z) + 5*y(z).\nAnswer: -13*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(1188\/(-77)))\/(224\/3168)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - -0.0882.\nAnswer: 20.0882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -33*d + 104. Let o be x(3). Suppose -j + 28 = o*y - 5*j, -y = j - 11. Solve 9*i - y*i = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 90802*a - 3. Let b(r) = -r**2. Give f(b(o)).\nAnswer: -90802*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from harhr. What is prob of sequence rhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -163, -156, -133, -88, -15, 92, 239?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/30*182280\/11718?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 6. Let a = m + -3. Suppose -4*y + 98 + 34 = a. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -613 - -627. What is the smallest common multiple of b and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410518919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 196.8 + 817202.2174.\nAnswer: 817399.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1768 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102221111 - -12?\nAnswer: -12102221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/11)\/(-1 - 4 - 80\/109340*-6832)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1066303 - -4?\nAnswer: 1066307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 22*d. Solve 6 + d = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5533 + -5516. Solve -t = -2*t - 5*h + g, -3*h - 1 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111 - 62 + 87 + 650*o + 4*o + 60 wrt o.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 + -4047?\nAnswer: -4060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -9*d + 28*d. Let s(q) = q**2 - 2*q - 1. Let x be s(3). Solve -4*u - x*y = -d, 4*y = u + y - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14881*n**2 - 2917626 wrt n.\nAnswer: -29762*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.704188 millennia in centuries?\nAnswer: 17.04188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262 times -16709?\nAnswer: -4377.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2803467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = 4. Suppose 4*k = 23 + 9. Let j = 4 - k. Put w, -3, j in increasing order.\nAnswer: j, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2302 times -1472\nAnswer: 3388544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652374223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -0.5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.984 + -25.814. Let i be (-1)\/(-3)*-10 - -3. Which is the fourth smallest value? (a) i (b) -1 (c) n (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 5 = -22*m. Suppose -u + 0*u + m = 0. Sort u, -66, 2 in decreasing order.\nAnswer: 2, u, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let d be -1 + 0\/(-1) + -2. Let g(i) be the third derivative of -i**3\/2 + 27*i**2. What is d*y(k) - g(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57501.77kg?\nAnswer: 57501770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48376 and 3616106.\nAnswer: 14464424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-18) - (-10)\/(-360))*(-8)\/(-145).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 25328*l\/5 - 531006\/5.\nAnswer: -2*(l + 21)*(l + 12643)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 0 + 3 - 6 - (-3360)\/819\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.49557 - -2.40332. Let r = -37.092194 - v. Let q = r - -13. What is q rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*j*w**3 - 1493*g**3*w**3 - 2*g**2*w**2 - 2*j*w**2 - 470*w**3 wrt g?\nAnswer: -12*j*w**3 - 8958*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -9 (c) 3\/4 (d) 2 (e) 10682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 + 8*g + 7. Let s be h(-7). Let x(u) = s*u**2 + 3 + 4*u + 0*u**2 - u**2 - 2*u. Let l be x(3). Let n(i) = -i - 8. Determine n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13293 divided by 21.\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z**(1\/8)*z*z)\/z*(z*(z**10\/z)\/z)\/z)**29 assuming z is positive.\nAnswer: z**(2581\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, 4, 4.2, 7, 16\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:01 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 - 1. Let i be f(0). Let g be (-2)\/((-4)\/2) - -2. Let q(y) = 2*y - 19. Let k be q(7). Sort i, k, g in descending order.\nAnswer: g, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63 + 276*m**2 - 66 + 130 - 46*m wrt m?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 11620?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 37 - 46 = 0, -42 = -2*p - 4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, i: 2}. What is prob of picking 3 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -110.616 (b) 5\/3 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, d: 4, n: 4, x: 1, a: 4, w: 3}. What is prob of sequence wxao?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = b. Let g(f) = -f - 7. Let c be g(-10). Solve 0 = 5*u - 2*u + b*s - 37, c*u - 2*s - 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2*r**5 + 13*m**2*r**3 - 3*m**2 - m*r**2 - 24*r + 2 wrt r.\nAnswer: 80*m**2*r**3 + 78*m**2*r - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbzxjvx. What is prob of sequence vz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 10*b - 20)*((3 - 3 + b)*(3 + 0 - 4) - 2*b - 1 + 1 + b - 6*b + 2*b)*(4*b**2 - 5*b**2 + 3*b**2 - 4*b).\nAnswer: -120*b**4 + 240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 2\/21 (c) -1351 (d) 0.5 (e) -15 (f) -0.5 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3, -1\/15, -5 in decreasing order.\nAnswer: 17\/3, -1\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 - 6*h + 15. Let j be r(1). Let b(c) be the first derivative of 0*c - 3\/8*c**4 - 3\/10*c**j + 0*c**3 - 8 + 0*c**2. Factor b(s).\nAnswer: -3*s**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:55 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (5*(1 + sqrt(1216) + sqrt(1216)) - sqrt(1216))**2 - (-2*(sqrt(76) + 2*sqrt(76)))\/(2*sqrt(4)*-4).\nAnswer: 2877*sqrt(19)\/4 + 98521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62169.51um to centimeters.\nAnswer: 6.216951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/2521, -4\/3, -4, -2\/15, 0.4?\nAnswer: 2\/2521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1512 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(70) - sqrt(70)*4))\/sqrt(2))\/(sqrt(10)\/((sqrt(110)\/sqrt(5))\/sqrt(11))*2).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -66*w**3 + 44*w**2 - 44*w. Let b(z) = z**3 - z**2 + z. Give 44*b(o) + u(o).\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219957 - 219958.8. Let b = 18.09 - 18. Put n, 4, 2\/3, b in descending order.\nAnswer: 4, 2\/3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(4 + 8)\/(-120).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 11 = 5*g, -3*g + h = -4*h - 11. Suppose 4*u - 258 = 3*j, -116 = -g*u + 4*j - 9*j. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198048 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 196 = -29*g + 40 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - 0.43. Let q = k + -0.13. Round q to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -215, 2, -5, -1, -2, -380 in ascending order.\nAnswer: -380, -215, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68205 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwnnqnwnqtt. Give prob of picking 1 w, 1 q, and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3 - 45. Suppose -4*b + 50 = s, s + 0*b = 4*b + t. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n**2 + 0*n)*(10*n + 28 - 28).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 4 - 4*h + 9 - h**4 + 9 + 2*h as k*h**4 + j*h**2 + c*h**3 + r*h + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = h, 3*q = -2*h + 46. What is q rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -194.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1 + 14\/8). Let g(r) = r**3 + 8*r**2 - 10*r - 6. Let l be g(-9). Find y such that -1\/4*y**5 - 3\/4*y**l + 0*y + 0 - 1\/4*y**2 - 3\/4*y**c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/((-96)\/(-9))*(4 + 0). What is the remainder when 36 is divided by (-779)\/(-57) - ((-16)\/m)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 2*3*sqrt(88))\/(sqrt(8) + sqrt(200)*1).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181889 (base 10) in base 14?\nAnswer: 4a401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 502, 2, 0.1, -247026 in increasing order.\nAnswer: -247026, 0.1, 2, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*d - 23*d + 22 + 49 - 58*d - 4 with respect to d.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (-6)\/(-2808)*3*664\/(-44) and 53\/48.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*b - 189 = -5*o, -3*o = -3*b - 168. Solve 5*m - o = -34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1008 divided by 252\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -22. Let r(y) = 2*y + 6. Let s(v) = v**2 + 1. Let n(p) = f*s(p) - r(p). Let l(k) be the first derivative of n(k). Give l(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1218*b - 116 + 40 + 34 + 45)*(-11*b**2 - 13*b**2 + 25*b**2) to the form y*b + i*b**3 + a + j*b**2 and give i.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 521846*f*r**3*v + 67*f*r**3 - 2*f*r**2*v - 57*f*r*v + 8*f*r - 8320*f*v wrt r.\nAnswer: 3131076*f*v + 402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 - 3*r - 7. Let a be n(7). Suppose 68*f = a*f - 10. What is the second biggest value in f, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-14)\/(-21)*-9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40202.\nAnswer: 2, 20101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19235844083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 172740221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4805 is divided by 1474?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 379 + -16?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 255.488281 to two dps.\nAnswer: 255.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2880580237 + 2880580237 + 94*u**2.\nAnswer: 94*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3004 + -43013?\nAnswer: -40004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 4*g + 15. Let u be b(7). Suppose -x + u = 2*i - 48, -3*i = -x - 126. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228068 divided by -74?\nAnswer: -3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -215 - 233260?\nAnswer: -233475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 - (-308)\/(-880)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060674509?\nAnswer: 23, 1987, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26804 + 50879. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/24883 and -87\/2.\nAnswer: 49766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - -44 - -99 - ((-2 - -8) + -3 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 422144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + 2*k**2)*(2*k**2 + 3*k - 3*k) + 7*k**3 - 7*k**3 + 11*k**4.\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - (-44)\/12. Suppose -4*h - z*s = -0*s - 12, 4 = 2*h + s. What is the lowest common multiple of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-492)\/(-576) - (-2)\/(-3). Let r = -1103\/48 + 23. Let u = v - r. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 105 = -17*k, -5*z - 166*k = -168*k + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150431629\/12 - 49110145\/4. Let v = -765839\/3 + n. Let a = -3170 + v. What is the common denominator of 10 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/3 + 56777*q**2\/3 - 803374415*q\/3 - 71950758521\/3 = 0. Calculate q.\nAnswer: -89, 28433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h**2 - 10*h**2 - 5 - 13*h + 43*h**2 - 8 + 4. Let w(m) = -8*m**2 + 7*m + 5. Determine 6*g(v) + 11*w(v).\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/205, 5, 3 in increasing order.\nAnswer: 2\/205, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*r + 4*r**2 + 16 - 8 - 6*r**2 - 9 to the form y*r + q + h*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*t + 3*t**2 + 3*t**2 - 4*t**2 - 269*t to j*t + g + f*t**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1972 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 25. Put w, -2, 1 in increasing order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 38. Let d = 104 + 1. Calculate the remainder when d is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384063128 a multiple of 1329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:25 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -258612 minus -371?\nAnswer: -258241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10482 - 7*a**2 + 9*a**2 + 4930 + 4886.\nAnswer: 2*a**2 - 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -42*i + 7. What is the hundreds digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*s = -4, -s + 12 = 3*n - 4*s. Suppose 0 = 2*i - 2*c - 759 - 283, n*i + 5*c - 1563 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 3*r + 1. Let f(p) = -3*p**2 - 3*p + 1. Suppose -16*c = 293 - 261. Calculate c*n(k) + 3*f(k).\nAnswer: -k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -569\/4 + 143. Let f = 1685 + -1685. What is the closest to f in -0.4, t, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -54. Let t be 4\/(-3)*x\/276. Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 701980\/33 - 21274. What is the common denominator of ((-42)\/(-90))\/(2\/55) and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205712231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41167187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let s(j) = -2*j + 16581. Calculate i(s(w)).\nAnswer: 4*w - 33162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10245970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 9*m**4\/8 - m**3\/3 + 2*m**2 + m. Let r(b) = 14*b - 1. Determine -7*r(g) + 4*x(g).\nAnswer: 10*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 6212*g**2 - 3207424*g + 550440960.\nAnswer: -4*(g - 544)**2*(g - 465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31676335519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 2\/11, -1, 2274, 3, 98, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007318 rounded to four decimal places?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2475.8751 + 2476. Round g to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 30 + 8 - 6*n + 3*n - 2.\nAnswer: -3*n - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 797325649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 15. Let d(q) = 15*q - 1217. Let m be d(81). What is the remainder when 1863\/z - m\/(-10) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3490000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**8\/168 - 5*w**7\/21 + 11*w**2 - 4. Factor v(h).\nAnswer: 2*h**4*(h - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 30*d**2 - 554*d - 83. Is r(-41) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -17. Let y(c) = -2*c - 5. Let o be y(b). Suppose 4*f - 12 = -0*f. Solve 0 = 3*r - 0*p + 3*p + f, -o*r + 13 = -p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 2418?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/12 + 1)*-8. Suppose 2*h + b*s - 39 = 7*s, 15 = 5*h + 4*s. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11023 + 10?\nAnswer: -11013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4\/7))\/l*l*l**17*l assuming l is positive.\nAnswer: l**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 142\/27 (b) -3165 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133 + 177?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559.9 - -553.914. Let r = 6 + w. Let o = r - 0.081. What is o rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70856 is divided by 542?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*a + 16*x - 15*x, 4*x + 30 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-100)\/16*(417\/105 + -4). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/12*-1*3\/(-21)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgagacccgggmmqia. What is prob of sequence ggm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 1\/24, 7, 600, 0.3 in increasing order.\nAnswer: -5, -0.2, 1\/24, 0.3, 7, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -0*i - 750. Let n = -3 + 5. Let -8*j**2 + 2*j**2 - 24*j + i*j**n - 598*j**3 + 582*j**3 - 4*j**4 = 0. Calculate j.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29580 is divided by 1476.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 6*u - 3*n = 7, -u + 2*n = -6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w - 6*w - 8*w - 9*w - 13*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/17550 and -37\/390.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2771 to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8033 from -10856.\nAnswer: -18889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*p = 5, -4*t + 3*t + 2 = -2*p. Suppose t*q = -2*q - q. What is the closest to 8\/3 in 2, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*z - 422*z - 189*z.\nAnswer: -521*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-12) - (-10)\/6. Let g be ((-11 + 3)\/(-1))\/i. What is the second derivative of -2*c**5 + 4*c**5 + g*c - c**5 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 0.07. Let m = 2 + -1.8. What is the third biggest value in l, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 150498400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513867.\nAnswer: 109, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383379.\nAnswer: 3, 47, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7422 - 304320\/41. Let w(r) = 93*r. Let k be w(0). Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/24*0*1\/2. Solve -b = -v*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24ee2 (base 15) to base 3.\nAnswer: 20000000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 9*o + 1. Suppose -4*i - 18 = w + 22, 4*i - 2*w = -28. Let z be u(i). Suppose -4 = -2*f + 18. Calculate the greatest common factor of f and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*j = 126*j + 657 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 - 3*l**2 - 3*l. Let j(r) be the third derivative of r**6\/40 - r**5\/30 - r**4\/12 + 2*r**2. What is -4*i(m) + 6*j(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 7) in base 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 181, 477, 883, 1393, 2001, 2701, 3487, 4353?\n\"Answer: -b**3 + 61*b**2 + 120*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*s**3 + 2*s**2 + s - 147?\nAnswer: 1242*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, g: 6, s: 2, q: 2, f: 1}. Give prob of sequence vfg.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 27 = -3*a + 2, -3*a + 5 = d. Suppose a = -24*t + 11*t + 143. Let i = 0.7 - 0.2. What is the closest to -2\/5 in t, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428*o = -188*o - 1629*o - 734*o - 374026 for o.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249374.37us in minutes?\nAnswer: 0.0041562395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1533)\/42*(-1 - -3). Let f = -68 - v. Solve -5*d - 6*s + 4*s + 5 = 0, 30 = f*d - 3*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10c8 + -4?\nAnswer: -10cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-28)\/(-8) - (7 - 3))*-58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110410, -220376, -330342, -440308, -550274, -660240?\nAnswer: -770206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6827 - -6827.1. What is the nearest to 1 in -29, o, 9, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*n**6 + 24*n**6 + 46*n**2 + 30*n**6 wrt n.\nAnswer: -2040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141306 is divided by 591?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6826, -4884, 358, 10550, 27342, 52384, 87326?\nAnswer: 133818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 726 - 70. Let p = -518 + q. What is p rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -181*u**5\/30 - 11*u**4\/24 + 4*u**3 - 441*u**2. Find the second derivative of x(w) wrt w.\nAnswer: -724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 + 137. Suppose -2*n + 0*b = -5*b - 64, -b + o = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 50*b + 35. Is 16 a factor of f(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 2*b**3 - 2*b**3)*(0*b + 0*b + b)*(-5*b + 17*b + 8*b).\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/8*(-20)\/30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -729793*g*x - 1031268*g wrt x.\nAnswer: -729793*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -15\/2*v**2 - 5\/3*v**3 - 1 + 20*v. Find a such that h(a) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0*o**2 - 24*o + 11\/6*o**4 + 0 + 8\/3*o**3. What is the second derivative of h(d) wrt d?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11443 (base 7) in base 16?\nAnswer: b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12*(-558)\/(-620)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 10*q - 223*q**2 + 234*q**2 - 28*q + 15*q.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43843, 87663, 131485, 175315, 219159?\nAnswer: 263023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 5*p - 11. Let z be u(-7). Let q(y) = 7 + 16*y**2 - y**z + 3*y + 5*y - 15*y + 8*y. List the prime factors of q(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1320, -5297, -11926, -21207, -33140?\nAnswer: -47725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - p - 2. Let b be a(-1). Suppose -5*q + b*q + 6 = 0. Put -2, -6, q in decreasing order.\nAnswer: q, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 21. Let r = d - -1. Calculate the highest common factor of 30 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27277356 to the nearest integer?\nAnswer: 5223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 22 + 10 - d + 12.\nAnswer: -d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 45, 381, 1093, 2307, 4149, 6745?\nAnswer: 10221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**3 - 2 + 2*w**3 + 2*w**3 with respect to w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkbkkbkkbbkbbkbbbb. Give prob of sequence bk.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450187977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c**2 + 136*c - 28 = 0 for c.\nAnswer: -7, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (327 + x - 958 - 358)*(-x + x + x**3).\nAnswer: x**4 - 989*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21990087 and 207081?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {p: 2, k: 7, x: 1, t: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 0.5, -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/7 + 221609*x**2\/7 - 3324360*x\/7.\nAnswer: x*(x - 15)*(x + 221624)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69\/4*c**3 - 31*c**2 + 4*c + 48 - 1\/4*c**5 - 7\/2*c**4.\nAnswer: -(c - 1)*(c + 3)*(c + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 3, l: 15}. Give prob of picking 1 l and 1 c.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1025 and 1305?\nAnswer: 267525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 24, 12*x - 10*x - 12 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.098 in -142, -3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 2*b**2 - b - 1. Let r be s(-2). What is the second biggest value in 6, -0.3, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -11?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/36)*20\/(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*o + o. Let u(s) be the second derivative of -6*s + 0*s**2 + 0*s**4 + 1\/30*s**6 + 1\/42*s**7 + o + 0*s**5 + 0*s**3. Solve u(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -4*(-2 + 3). Is (-2 - b)\/((-2)\/142) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + 6. Let j = d + -55. Let o = 0.3 - 0.1. Which is the third biggest value? (a) -4 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 960 = 78*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 0.96. What is the closest to -0.02 in q, 1, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-846)\/(-47))\/36*-64?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/245*-5)\/((-4)\/((-56)\/6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93713 is divided by 768?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27180421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -39774460.\nAnswer: 11932338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 800638809.92999727 + -800638815. Let q = o - -5.07. Round q to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2256, -2280, -2312, -2358, -2424, -2516, -2640?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3028852 divided by 4.\nAnswer: 757213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Put 2\/11, k, -2\/17 in descending order.\nAnswer: k, 2\/11, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0004532 meters to kilometers.\nAnswer: 0.0000004532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 2*f**2 - 10*f + 20. Is r(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21112001112 (base 3) to base 9.\nAnswer: -245045","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -107646*h + g = -107647*h - 1, 0 = 4*g - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -30\/13 (b) -141 (c) 20\/7 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/3, 4326\/13, -0.081 in decreasing order.\nAnswer: 4326\/13, 19\/3, -0.081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*y - 2380*y**3 + 44*y - 99*y.\nAnswer: -2380*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Let w(n) = -2*n**2 - n + 2*n**3 - 3*n - d*n**2 - 2 - 5*n. Let v(g) = g**3 - 2*g**2 - 4*g - 1. Give 5*v(a) - 2*w(a).\nAnswer: a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408292.59 seconds in weeks?\nAnswer: 10.595721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 6. Let p(f) be the third derivative of -f**5\/60 - f**4\/24 + 5*f**3\/6 - f**2. Let h be p(0). Let d be n(h). Do -2 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rorc when four letters picked without replacement from {r: 12, c: 4, o: 4}?\nAnswer: 88\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = p - 8, -5*p - 46 + 113 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -23. Let z = l - 7. Let o = -0.2 + -0.3. Put o, z, -0.4 in decreasing order.\nAnswer: -0.4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/16)\/(2\/(-4)). Let k be (-3)\/(-12) + (-142)\/(-8). Let u = w + k. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99529\/57798 + 2\/9633. Let m = 3415\/16 - 843\/4. Calculate the common denominator of a and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**30)\/d*d*d**28\/d)\/((d**(-7)\/d)\/d**(-12\/7)))**(-8) assuming d is positive.\nAnswer: d**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, r: 4, a: 1, c: 2, m: 1}. What is prob of picking 1 m and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3056 (base 7) to base 9\nAnswer: -1418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*h - 4*d - 1212, 3*h + 3*d = -60 + 126 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-27) - 12\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 349, 599, 849, 1099, 1349?\n\"Answer: 250*c + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 1, 0.2 in descending order.\nAnswer: 74, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/414)\/((-5)\/1).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289524?\nAnswer: 2, 3, 23, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1927915 and 0.12.\nAnswer: 231349.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:00 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 7:18 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 730*o**2 + 35445*o + 572220.\nAnswer: 5*(o + 44)*(o + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238889 divided by -51?\nAnswer: -2238889\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697 - f - 676 - 7*f - 676 + 2046 + 2*f.\nAnswer: -6*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -48*g + 302. Let i be q(6). Let j be (9 - 44751\/i)\/(3\/4). What is j rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2*g**5\/5 - 2386*g**3 + 4110*g - 11838. What is the first derivative of u(i) wrt i?\nAnswer: -8*i**3 - 14316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -45*t. Let q(a) = 13*a. Let c be -2 + (-180)\/(-70) - (-2302)\/14. Suppose 36 = -c*u + 167*u. Give u*q(x) + 5*f(x).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017885 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 4*v**2 + 5*v**2 + 7*v**2 + 12 + v. List the prime factors of u(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2760 and 9384?\nAnswer: 46920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.94 - -0.06. Let d be 8\/((7\/(-42))\/(88\/12)). Let b be 7\/(-8) + 1 - (-108)\/d. Sort a, b, -2\/9, 1\/5 in ascending order.\nAnswer: -2\/9, b, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 83315607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006878 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14571 - 9602. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -77. Suppose 0 = -2*n + 5*y + 12 - w, -3*n - 2*y = -6. Solve 7\/4*f**4 + n + 3*f**3 + 3\/4*f**2 - 1\/2*f = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-12)\/(-12)))\/(9\/(-1))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 + -139. What is the remainder when 164 is divided by c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = a + 2*a - 3*l, -4*l = 3*a - 154. Suppose -2*h = -0*h + 4. Is (-5 - h)\/((-6)\/a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32482 and 1199.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 1. Let n be (-406)\/(-35) - 99\/165. Let j(s) = 21*s - 4. Determine n*q(m) - 2*j(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58, 165, 382, 763, 1362, 2233, 3430, 5007?\n\"Answer: 9*i**3 + i**2 + 41*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 2 = -2*v - 5*t, 3*v - 5*t = 45. Solve -3*i - 5*u - 8 = 0, -2*u + 19 = -i + v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141831 + -141797.9982. Let y = k - 33. Round y to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/4 - (-20)\/16. Suppose -i - 5 = -a*i. Suppose -128 = -i*d + 317. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4 + 690*b**2 - 691*b**2 - 27 - 9*b. Let c be d(-7). What is the units digit of 0\/(-4) - -4 - c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32120 is divided by 1687?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:00 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 633 + -477. Calculate the highest common factor of 48 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50855988 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: b\"What is the rth term of -157, -1351, -3587, -6871, -11209, -16607, -23071, -30607?\n\"Answer: -r**3 - 515*r**2 + 358*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 12*z**2 + 12*z - 8. Let q be f(-13). Suppose d = q*d + 20. Sort d, 4, 0.3 in ascending order.\nAnswer: d, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 15*o**2 - 4*o + 3. Let z be s(7). Let d = z + -22. Let c(b) = 9*b**2 + 48*b**2 + d - 2. Let a(x) = -2*x**2. Determine c(a(v)).\nAnswer: 228*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 3 + (63 - 79) - (10 + -7).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2 = -1176*o + 592*o + 583*o, 2*o - o + 4*k = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-282)*(636\/(-120) + (0 - 10\/(-4)))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69400878 and -1571917.\nAnswer: -70972795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 3. Suppose -3*x + 23 = -7. Suppose -14 = 4*p + 2*d - 56, -2*d = x. Suppose 4*z = -j + p, 5*z - 34 = 2*j - 8. Give u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 368698*c - 2212260. Give g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*f + 1046*f + 80 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 - 243*a**3 - 240*a**2 + 4 wrt a?\nAnswer: -24*a - 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 25. Let j be r(10). Suppose -v - 65 - 66 = -2*f, -j*f + v + 329 = 0. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221921.914 to the nearest 1000.\nAnswer: 222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23504977 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -31*h - 162. Let p(z) = 21*z + 108. Let q(a) = -5*c(a) - 7*p(a). What is the derivative of q(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 7, 389 in descending order.\nAnswer: 389, 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, and 1 f when three letters picked without replacement from {b: 2, v: 1, w: 2, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50660 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwwgywwsg.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/8 + 477*z\/4 + 9315.\nAnswer: 3*(z + 138)*(z + 180)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 11 - 1 = -3*y, -5*g + 27 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/7*q + 4 + 8\/7*q**2 - 2\/7*q**3.\nAnswer: -2*(q - 7)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28\/841 - 59207\/15138. Calculate the common denominator of ((-73)\/20)\/((-6)\/8) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1 + 3*x + x - 6*x. Let a(y) = 5*y + 4. Let m(o) = 6*o + 3. Let d(h) = 5*a(h) - 4*m(h). Let b be d(-6). Calculate c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140428718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 8*d**2 + 9*d + 3. Let w be t(9). Suppose -14 = -w*i - 2. Is i bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20654553503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.78, 2\/25, -7, 21 in ascending order.\nAnswer: -7, -2.78, 2\/25, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-4 - (-3 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, 0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 19. Let l be o(13). Let j = l + 79. Let g(r) = r**3 - 22*r**2 + 22*r - 27. Let p be g(j). Sort 0, 2, p in ascending order.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2270 and (110\/4)\/((-77)\/(-154))?\nAnswer: 24970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 417*l + 399*l + 399*l - 1234*l. Let w(g) = 37*g - 1. What is y(w(z))?\nAnswer: -703*z + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 23*a. Let c(y) = -2*y - 10. What is j(c(m))?\nAnswer: -4*m**2 - 86*m - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 293808455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from xxxxxxxxxxxixxxixx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*f - 23 + 81, 5*q - 2*f = -230. Let o = q - -56. Let g(k) = -k**3 + 8*k**2 + 5*k - 10. Let x be g(o). Is x less than or equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 182 (c) 0.4 (d) -0.3 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11659, -23315, -34969, -46621?\nAnswer: -58271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.042 - 0.042. Let i = 25.832 - 0.252. Let w = j - i. Round w to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:31 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1188555671 and -0.163?\nAnswer: 1188555671.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 5*v**5 - v**5 - 6*v**5 + 2*v**5 + 5*v**5 + (-2 + 3 - 2)*(-3*v**5 - v**5 + 2*v**5).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98937.\nAnswer: 3, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56b + -2?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/207 (b) 4 (c) -2\/3 (d) -1\/4 (e) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*c**4 + 4*c**4 - 5*c**4 + (5*c + 2*c - 5*c)*(-2*c**3 + 2*c**3 - 5*c**3).\nAnswer: -26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*v**5 - 17110*v**4 - 129480*v**3 - 415670*v**2 - 476665*v + 2940 = 0.\nAnswer: -7, -4, -3, 1\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times 7430.22?\nAnswer: 1114.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 37, 42, 47, 52, 57?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 375658512 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 2*o**2 - 3*o + 2. Let b be -2*(0 - (4 - 3)). Let g be p(b). Is (g\/6)\/(2\/307) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 + 0*o - 2*o + o**2 + 0*o**2 to y + t*o**2 + w*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20045 is divided by 5006?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4971 - 11?\nAnswer: -21.4971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 20563520 to the nearest ten thousand.\nAnswer: 20560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.04 (c) -0.1 (d) 0 (e) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 372 = 7*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 1223593*x\/4 - 1223591\/2 = 0. Calculate x.\nAnswer: 2, 1223591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r**5 + 0*r)*(-3 - 4 + 8 + (1 + 1 + 1)*(0 - 4 + 2)).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1874*d**3 - 1526*d**3 - 3320*d**3 - 4332*d**3.\nAnswer: -7304*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + p - 2 = 1, -9 = 3*p. Let z be 3\/12 - a\/(-6). Let s be (-171)\/(-33) - (-6)\/(-33). What is the nearest to z in -4, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -144.099. Let x = 2.099 - p. Let o be (2\/5)\/((-1)\/2). Which is the third biggest value? (a) o (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.0000056 - 5. Round b to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19052 - 19048. Solve -u*p = -3*r - 2, -2*r - 4*p - 7 = -p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0\/1)*0. Let h be 1*a\/1 + -8. Let z(y) = -y**3 + 1705*y**2 - y + 8. Let w(q) = q**3 - 2561*q**2 + 6*q - 9. Let u(x) = 2*w(x) + 3*z(x). Give u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15113 >= -90673\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o**3 + o - 1. Suppose 9 = h - 26. Let d be (1\/(-1))\/(-2 - h\/(-15)). Let r be d*6\/(-14) + (-16)\/56. Calculate b(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21848085 is divided by 413?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*v**2 - 189*v**2 + 89*v**2 + 951 to b*v**2 + w + k*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-242)\/275)\/(-11)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/19 + 1048*h\/19 + 137288\/19 = 0.\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16 = -g + 5*g, -4*a - 8 = -4*g. Let n be g\/1 - (-1 + -1). Let m be 6\/(-2 + -1 + 5). Put m, n, 2 in decreasing order.\nAnswer: m, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4586072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 - 4.5. Let o = -5.3 - -5. What is the nearest to 0 in w, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*j = -169*j + 2253648. What are the prime factors of j?\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -3\/7, 2, 16150, -65 in descending order.\nAnswer: 16150, 2, -2\/13, -3\/7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8734565.\nAnswer: 2\/8734565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 3, 1\/4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24618, 49524, 74430?\nAnswer: 99336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y + 1. Suppose -8 = -4*n + 4*u, -n + 7 = 4*u - 0. Let s = 48 - 23. Suppose -n*x = 2*x - s. Determine o(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 = 2919\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21a35 + -4?\nAnswer: -21a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13992 + 93.86008. Let i = 0.5 - 0.6. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 270.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*x - 25, 5*k + 3*x + 0*x = -15. Let t(u) be the third derivative of -1\/18*u**4 + 3*u**2 + 1\/180*u**5 + k*u + 1\/6*u**3 + 0. Factor t(m).\nAnswer: (m - 3)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2034 + 112021?\nAnswer: 104432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -232, 33, 5, -9, 0 in descending order.\nAnswer: 33, 5, 0, -0.03, -9, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -0.2. Let p = w + -4. Let i = 10 + -12. Which is the biggest value? (a) p (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*n + n - 24, -5*n = 5*d + 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3389 - -3391. Put b, -4, 250 in ascending order.\nAnswer: -4, b, 250","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + 151. Let r = 129 - i. Let h = -47.2 - r. What is h rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpj when three letters picked without replacement from {r: 1, i: 1, x: 1, p: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-2*sqrt(12)) + ((sqrt(432) - (sqrt(432) - (sqrt(432) + sqrt(432)*-3)) - sqrt(432)) + sqrt(432) + sqrt(432))**2 + 1.\nAnswer: -sqrt(3)\/2 + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5679765 divided by -1533?\nAnswer: -3705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h + 11*h - 8*h)*(-13 - 217 - 132)*(-1 + 3 + 0) to the form b*h + n and give b.\nAnswer: 3620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 53 + 23 + 22. Calculate a(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65754 * 0.3.\nAnswer: -19726.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4161801.\nAnswer: 3, 7, 59, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + -3*(sqrt(3328) - -1*(-1*sqrt(3328) + sqrt(3328) - sqrt(3328)))**2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.239 - 24.239. Let k(s) = -s - 10. Let j be k(-9). What is the second smallest value in j, p, 15, 0.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3 + 7 + 0*p - p. Let k be f(0). Solve -3 = k*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 32 = 2*b + 4*q, 2*q + 95 = 3*b. Suppose -14*p = -b*p + 11760. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 6. Let y = -50 + 56. Let d(c) = -1. Calculate y*d(m) + j(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -523*n**3 - 5*n**2 - 5*n - 15. Let m(r) = 1570*r**3 + 16*r**2 + 16*r + 48. Determine 5*m(q) + 16*p(q).\nAnswer: -518*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114730 and 9029251.\nAnswer: 90292510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8136 divided by -8136?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1021\/126 + -4\/63. Calculate the common denominator of k and (-145)\/(-50)*3 + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqqqduqduqq. What is prob of sequence dq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -25\/11, 1\/8, 38, -83, 3.\nAnswer: -83, -25\/11, -1\/3, 1\/8, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 - 414. What is the second biggest value in 2.1, -2\/15, v, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232143, 232146, 232139, 232116, 232071, 231998?\nAnswer: 231891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 15. Suppose 46*z = 50*z - 4*r - 4, 12 = -4*r. Put z, -25, u in decreasing order.\nAnswer: u, z, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/262248 and 71\/45434466.\nAnswer: 181737864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**(-19\/5)*m**(2\/25)*m*m\/(m**(-2)*m) assuming m is positive.\nAnswer: m**(41\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 565803453 and 699.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by -1061?\nAnswer: -289\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) 0 (b) -3 (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by -18019.\nAnswer: 306\/18019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, -6\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -10, -59, -206, -457, -818?\n\"Answer: -p**3 - 40*p**2 + 170*p - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12106*t - 6079*t - 2133 = 6100*t + 6043 for t.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103519\/758 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b + 24965 = -23739 + 45454 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*z = 2*f + 25, 59 = -3*f - 7*z. Let j = 11.8 + -6.9. Let m = j - 5. Which is bigger: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + 1 + -3 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 798\/517 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8157 and 2?\nAnswer: -16314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2613472 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 28\/(-10))*(-1935)\/(-35604)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*239.07.\nAnswer: -167.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*n**2 + 774*n**2 + 1784*n**2.\nAnswer: 3591*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2652 greater than -2651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*d + 71980 = -41558. Which is smaller: d or -895?\nAnswer: -895","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 2, 0.819?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -4, -5, -767?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**2. Let i(h) = -243712*h. Determine i(b(t)).\nAnswer: 2193408*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12005, -47860, -107617, -191276?\n\"Answer: -11951*l**2 - 2*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 455.9999627 - 456. Round c to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 3806.\nAnswer: -6\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + r - 10 - 2*r + 0*r - 2*r + 0*r + (1 - r - 1)*(4 - 1 - 1) + r + 2*r - 2*r + 2*r - 2*r + 2*r as j*r + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432732784 rounded to the nearest one million?\nAnswer: -1433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7486, 7485, 7484, 7483, 7482, 7481?\nAnswer: 7480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80 - (-90 - -33)) + -29.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -945*l. Let u(x) = 140256*x. Give s(u(r)).\nAnswer: -132541920*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 91368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 15, -4*o - 3*q = -5*q + 10. Sort o, 4, 21.\nAnswer: o, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 6720 - 64078. Let r = m - 20279. Round r to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 9 = 5*p, -2*p + 4*a - 3*a + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d**3*i**2 + 2*d**3*i + 533*d**3 - d**2*i**2 + 514*d**2 - 3262*d*i**2 + d*i - 4*i**2 wrt i?\nAnswer: 48*d**3 - 2*d**2 - 6524*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7d689 (base 15) to base 9\nAnswer: -668283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 233 = 367. Suppose 13*p - v = 3*p. Suppose -5*w - 5*a = 15, -2*a - p = 5*w + 2*a. Which is greater: 1\/20 or w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqq when three letters picked without replacement from {h: 2, s: 3, q: 4, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-32)*4 + 12319. Suppose 1339*v - 1333*v = y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 - 1101?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12884 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwjlwwwww. Give prob of picking 2 w.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + 275. Calculate the remainder when s is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00739 rounded to 4 dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 + -0.19. Let n = -0.98 + t. Let v = -7.7 - -8. What is the nearest to n in v, 4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 16) in base 2?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 7. Let y be x(3). Let n be 4 - (-4320008 + 0 + y). Let d be n\/(-6) + (-4)\/(-3). Round d to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 47 - 46)*(-2 - 1 + 1)*(2*v + 4*v - 2*v).\nAnswer: 656*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10*q + 106 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-10)\/330*(-3)\/(-7)). Let d = -92 - c. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149570407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 6*t + 2. Let o be g(7). Suppose -o = -5*s + 1. Let y(j) = 13*j**s + 19*j**2 + 4*j**2. Let a(i) = 2*i**2. Calculate y(a(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -3559209?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -44. Let o(w) = -w**2 - 18*w - 22. Let b be o(-16). Let y = 15 - b. Calculate the greatest common factor of g and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6178*l*o**2*y - 63*l*o**2 + l*y + 23*l - 100522*y + 1 with respect to o.\nAnswer: -12356*l*o*y - 126*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -6)*18\/(-27). Solve 0 = c*i - 9*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263191.88 rounded to the nearest 1000?\nAnswer: -1263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2 - (-10 - -3)). Let o = -8 + p. Suppose 0 = 3*m + o*b - 0*b - 257992, 2*b + 4 = 0. What is m rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 2134?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 7*w - 13*w)*(1 - 1 + w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q - 36 = 0. Let i be (-14)\/q - 8\/(-12). Suppose -5*y + 3*y + 3 = -3*g, -5*g = -4*y + 5. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.71 - 2.41. Let y = 12.8 - p. What is the third smallest value in 0.1, y, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -8*o**6\/15 + 13*o**5\/5 + 37*o**4\/3 - 20*o**3\/3 + 95*o + 31. Let z(i) = 0. Calculate i.\nAnswer: -2, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 71. Let n(c) = 2*c + 71. Determine 6*f(j) + 7*n(j).\nAnswer: 2*j + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-25)\/(w**(-16)*w)*w*w*w*w*w**(2\/17)*w**(-12))**(-8) assuming w is positive.\nAnswer: w**(2432\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/7317657 and 4\/7317657.\nAnswer: 7317657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8 + ((-63210)\/567)\/(-14))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 + 8*u**3\/3 + 3*u**2 + 7*u + 2. What are the prime factors of p(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 40. Find the third derivative of -8*b**6 - 22*b**6 + 249*b**5 - r*b**2 - 249*b**5 wrt b.\nAnswer: -3600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (226902\/(-45378))\/(-1). Let a = -214301\/60504 + q. What is the common denominator of a and (-1 - 79\/3)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/(8\/(-6)). Let i(n) be the second derivative of z*n**3 + 0*n**2 + 0 - 5*n. Let t(o) = -o**2. Calculate i(t(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 at least as big as -116.58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5753 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5220*y + 5416*y + 2940 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21030 - -31?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4689 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.6444261 - -0.01?\nAnswer: 629.6544261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 641.6353 and 0.5445.\nAnswer: 642.1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 21*g**2 + 12*g - 5. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/(-7) - 67 - -83\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = g - 130947, 20*s - 5*g = 16*s + 174596. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t**2 + 2*t - 5. Let n be b(3). Let l = n - 88. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 91898352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2374.52 >= 508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 + 2.1. Let n = 5.8 + k. What is the second smallest value in n, -0.1, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 0. Let w(r) = 0 + 2*r - r**3 + 3*r**2 + 2*r**3 - 8 + 4*r**2. List the prime factors of w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -1. Let m = -0.96 + -0.04. Let u = -5599 - -5601. Put m, u, w, 4 in decreasing order.\nAnswer: 4, u, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/3, -3, 10, 27, 0.02 in descending order.\nAnswer: 27, 10, 5, 0.02, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.67184 weeks in nanoseconds?\nAnswer: 7059128832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52111 is divided by 109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 510, 732, 1330, 2490, 4398?\n\"Answer: 31*b**3 + 2*b**2 - b + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k**3 - k**3 - 4 + 4*k**3 + 4 + 1307 - 54*k**3 - 1307 - 2*k**3 + 0*k**3 + k**3 + (-2*k + 2*k + k)*(0 + 0 - k**2).\nAnswer: -53*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25380.364 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3367.4 + -0.05\nAnswer: 3367.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4888188 and 27.\nAnswer: 4888188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 2*z**2 - 13 + 3*z + z**4 + 4*z**2 - 4*z**2 as f + q*z**2 + c*z**3 + d*z + a*z**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, m: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57.7 + 55.7. Let r = 7 + -10. Which is the nearest to 12? (a) q (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*g + i + 57, 4*i - 12 = 0. What is the units digit of (5 - -2)*(-4)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -368.68 + 369.08. What is the closest to 44 in 4\/3, 0.5, -0.3, y?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -3*b + 2 - 7 - 7, 16*h + 12 = 9*b + 15*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.3. Let v be (4\/(-7))\/((-2)\/(-1)). Let o = -4 - -1. What is the closest to n in o, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:27 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -845084, -845083, -845082?\nAnswer: -845081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 127103202*u + 1346268663221067.\nAnswer: 3*(u - 21183867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:55 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8, 8*k = -2*l + 3*k + 20. Suppose -m = 4*m - l. Let i = -2 - -3. Sort 2, i, m in ascending order.\nAnswer: i, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380859529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -106. Let v(z) = 23*z**2 + 53*z + 5. Is v(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 1. Let h(o) = -1. Suppose -p = 2*p - 4*l + 17, 3*p + 5*l - 28 = 0. Let w(x) = p*g(x) - 3*h(x). Suppose -u - u = -4. Determine w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 + 236?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2. Let o(h) = -2*h - 3. Let f(r) = 5*r + 8. Let w(y) = 3*f(y) + 8*o(y). What is g(w(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - 1619085839.2835?\nAnswer: -1619085838.3835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 18*x - 14. Let h be 3\/(-12) + (-69)\/(-4). Let d be v(h). Is d < -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-three eighths of a meter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 2*t + 398. Let b(v) = -v**3 + 2*v**2 + 2*v + 3. Let a be b(3). Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34496 and 12936.\nAnswer: 103488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39448416 and 2016.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-26)\/(-6))\/(69333\/4950 + -14). Calculate the highest common divisor of 1690 and k.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29 - -2)*(-112)\/(-21). Let x = t - -218. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 180\/177*4\/10. Let p be (-23 - -6 - 4)*(-2127)\/6372. Let r = c + p. Calculate the common denominator of r and -3\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, -18, 1, -6, 9, -2.\nAnswer: -21, -18, -6, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*h + 624*h = 1067*h + 505*h - 51856 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*t - 39*t + 481 - 33*t + t**3 - 72 in the form a*t + m + f*t**3 + p*t**2 and give m.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.8 and 1.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (319 - 330) + 2 + (5 - 0) - (-92 - -55).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 47, 40, 29, 14?\n\"Answer: -2*a**2 + 3*a + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18691 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -235 (b) 38.35 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 - n**3 + 0*n**2)*(-12859 + 13851 + 17235)*(-3 + 4 - 2) in the form a*n**3 + o*n + w*n**2 + r and give a.\nAnswer: 18227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 31842?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.57329 rounded to 2 dps?\nAnswer: -28.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 9) to base 5.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 12*n - 16. Let f be (1 + -7)*(-23)\/46. Let a(t) = t**3 - 6*t - 1. Let k be a(f). What is the units digit of o(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -3494, -4, -1, -3 in ascending order.\nAnswer: -3494, -88, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15759?\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 3*n + 3. What is the units digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y - 10*y + 4*y + 11*y**3 + 2 + 0*y + 5*y**2 to x*y + v + h*y**3 + r*y**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - -0.97. Let y = -0.03 + 3.03. Let v = g + y. What is the nearest to 1 in 0.5, v, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w - 2. Let h be s(-2). Suppose -h*n = -n - 50. Let y = -1619 - -1620. What is the least common multiple of n and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105464027 (base 8) to base 11.\nAnswer: -a33225a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(6*q**2 + 3*q**3 - 6*q**2 + q + (-1 + 1 - q**2)*(-3*q + 0*q + 2*q)).\nAnswer: 12*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2650 divided by -6\nAnswer: 1325\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 10. Let g be d(-6). Suppose g*x + 2 = -2. Let z be 111\/3 + x*2. Solve -2*k = 10, -3*w + 7*w = -3*k - z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8530583 - -34.32\nAnswer: 35.1730583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 102 = 3*v - 60, -x - 5*v - 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -145946.\nAnswer: 63\/72973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -53, -79, -105, -131?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45126 and 111051.\nAnswer: 556809714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -34 (b) -0.8 (c) 115 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*w - 8 = 4, -b = 3*w - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-93)*6\/(-70).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 27744*y**2 - 359940*y + 387688.\nAnswer: -4*(y - 1)*(y + 14)*(y + 6923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 12*q**2 + 3*q - 11. Let u be m(-12). Let x = 3937.1 + -3937. Sort 0.4, 3, u, x in descending order.\nAnswer: 3, 0.4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6808?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9999*l**2. Let d(n) = 529*n**2. Give d(q(w)).\nAnswer: 52889420529*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g - 21. Let k(w) = 2*w - 7. Let f(m) = 8*k(m) - 3*q(m). Does 4 divide f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289098 times 13\nAnswer: 3758274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -53685\/69056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.94579 rounded to zero decimal places?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-nine halves of a second?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 < 6612419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.6967 - 0.3033. What is the smallest value in 1\/8, -4, 9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u - 36. Let s be i(5). Let x(n) = 20*n - 5. Let y be x(4). Suppose -l + y = 5*r + 2*l, -s*r - l = -67. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {h: 3, g: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - h**2 + 0*h)*(-3*h**2 + 4*h**2 - 2*h**2) + 48041*h**4 + 2 - 3 - 47921*h**4 as y*h**2 + u*h**4 + w*h + l + d*h**3 and give u.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 2. Let o be u(5). Let t = -19954 + 19953. Sort o, t, -5 in decreasing order.\nAnswer: t, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllfsfl. Give prob of picking 1 s and 2 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -132\/7. Sort g, 0, 1, -99.\nAnswer: -99, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(35))\/(-3*2*sqrt(7)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 255\/4 + -65. Let h(f) = -f**3 + 13*f**2 + f - 15. Let z be h(13). Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.72 times -0.015\nAnswer: 0.2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 597*l + 83 + 595*l + 1233*l)*(2*l**2 + l**2 - 11*l**2).\nAnswer: -19400*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/2 - 3*j**3\/2 - 21*j**2\/2 + 39*j\/2 - 9.\nAnswer: 3*(j - 2)*(j - 1)**2*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.41. Let o be (-48)\/(-72)*18\/24. Which is the closest to 0.1? (a) n (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.5 - 60.3768. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(12\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**9)**(-5\/9) assuming c is positive.\nAnswer: c**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhk when three letters picked without replacement from wdkhdul?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a - 3. Let b be j(3). Suppose -5*k = b*o - 81, -5*o - k = -2*k - 107. Let v = o - 11. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4493703, -8987405, -13481107, -17974809?\nAnswer: -22468511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7 - 405\/(-900)*90\/42\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-8))\/(40\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1115.02 and 111492827.8.\nAnswer: 111493942.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(21))\/(sqrt(7) + ((-2*sqrt(7) - sqrt(7))*-3 - sqrt(7) - sqrt(7) - sqrt(7)) - sqrt(7)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91.96 + -91. Let r = -0.96000059 + b. What is r rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 18.3. Let p = -19 + a. What is the smallest value in p, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d - 15*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54023 - 4*h + 3*h + 19893 + 14610.\nAnswer: -h - 19520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53086773568 + 0*k + 53086773568 - k**2 + 0*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-15)*2\/24*-2. What is the biggest value in o, -0.4, -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 312 - 286 = 0. Suppose 15 = -p + 9. Put l, 4, -2, p in ascending order.\nAnswer: p, -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 16*z + 15*z + 1 = 0, -4*g + 3 = 3*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1, 204 in ascending order.\nAnswer: -3, 1, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3264586, -6529330, -9794072, -13058812, -16323550?\nAnswer: -19588286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*x + 2*j + 4, -x + 15 = 3*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -392*(15\/6)\/(-5). Let w = q + -113. Suppose 3*s + 3*x = 75, 3*s = 4*x + 57 - 10. Calculate the remainder when w is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*u = -45, -s + 4*u + 21 = 8*u. Suppose 151 + 299 = s*o. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861212.\nAnswer: 2, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and -36.\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18666 bigger than 18666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697, -699, -701, -703, -705?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669692 is divided by 1434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 1.2. Suppose -4*m + 5 = -5*p + 10, 0 = -m + 5. Which is the nearest to i? (a) p (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/(2 - (-82)\/(-44)). Suppose -5*o = -9*o - u. What is the units digit of 2\/(-6) + o\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 4*n = -2140, -5*n + 1712 = 4*r. Let q(j) = 2*j + 325*j**3 + r*j**3 - 3*j + j**2. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + d + 3*d + (d - 6*d + 3*d)*(-21 - 27 - 6)*(2 + 4 - 3) - 2*d + 1 - 1 to r*d + n and give r.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.9046 to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/g)**(-36)*(g\/(g\/((g\/((g*g*g**(-2\/3)*g*g)\/g))\/g)))**(-3\/11) assuming g is positive.\nAnswer: g**(667\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5044 - 1441. Let m = b - 3602.96682. Round m to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13\/2, -2\/5, -1.06, -0.1 in decreasing order.\nAnswer: 0, -0.1, -2\/5, -1.06, -13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200*o**2 - 921*o**2 - 2915*o**2.\nAnswer: -5036*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151684784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 less than 38404\/539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/7 + 38*k**4\/7 + 402*k**3\/7 + 118*k**2 - 400*k\/7 - 864\/7 = 0.\nAnswer: -4, -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15689479 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 - -17833?\nAnswer: 17881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.35 - -0.65. Let y = -60 + w. What is the second biggest value in y, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 11087\nAnswer: 4\/11087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b + 2. Let y(k) = 4*k - 1. Determine -3*i(o) - 5*y(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001065268 rounded to seven decimal places?\nAnswer: 0.0001065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1037 to the nearest 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {u: 2, i: 1, w: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -579, -594, -623, -672, -747, -854, -999, -1188?\n\"Answer: -d**3 - d**2 - 5*d - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(45) - (1*(0 + sqrt(45)) - sqrt(45))**2).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23552 (base 8) to base 9\nAnswer: -14751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56397411 rounded to 4 decimal places?\nAnswer: -1.564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84300.534 milliseconds in days?\nAnswer: 0.000975700625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 3. Let k(b) = -4*b**2 - b. Let f be k(1). Let s be v(f). Suppose -s*g = g. Solve 2*y - 13 = 5*j + 5*y, -4*j - y - 16 = g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 2. Let q be s(-5). Suppose 9*b = 233 - q. What is the highest common divisor of 225 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7952.723km?\nAnswer: 795272300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(-1 + sqrt(1377)) + -2 - (-3 + 3*6*(1*sqrt(1377) - sqrt(1377))))**2*-4 + -4.\nAnswer: -22040 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 58, 83, 106, 127, 146, 163?\n\"Answer: -i**2 + 30*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**2 + 3*q + 4. What is b(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706190488?\nAnswer: 2, 7, 11, 13, 29, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 8196563?\nAnswer: 32786252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8085 + -15.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 29 - 47 + (-8 + 3 - 7)*(1 - 5 + 5))*(-1 - 2*q - 3*q + 4*q).\nAnswer: 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776827 to the power of 1\/2, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/45 - (-2210)\/18. Suppose -121*k = -y*k - 566. Let j = 526 + k. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1653 and 714210?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/27031945?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556624?\nAnswer: 2, 7, 11, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - ((97 + -93 - (12 + 0)) + 5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {w: 4, n: 3, o: 3, j: 4, r: 3}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -819*o + 4907. Calculate q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(57)\/sqrt(12) - (sqrt(19) + -1*sqrt(931) + sqrt(931))) + 4 - (1 + (sqrt(304)*-3 + sqrt(19) - (-1 + sqrt(2299) + sqrt(2299))))))**2 + 0.\nAnswer: 130*sqrt(19) + 80291\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.6 + 42.6. Let p = 0.07 + -3.07. Let y = -2.8 - p. Is u at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:01 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 198.553 and 0.17.\nAnswer: 33.75401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -12*m + 2775. Suppose 4*j - 9*j = m. Let u = -121 - j. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzppzvsevzqpzqzvqzs. Give prob of picking 1 z and 2 s.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (17460\/22698)\/((-6)\/(-15) + (-4)\/(-65))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329694.2511 rounded to the nearest one hundred?\nAnswer: -329700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7260 divided by -3630.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*g = 3*g - 4502, 3*i + 3*g - 4497 = 0. Let x be (444\/(-18))\/((-1)\/i). Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -37, -3, -12 in increasing order.\nAnswer: -37, -12, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) -4 (c) 61 (d) 0.09 (e) 1 (f) 12 (g) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(170)*1)\/sqrt(10) + sqrt(51)\/(1*sqrt(48)))*-3)**2.\nAnswer: 80937\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + 14 + -42 + -10 + 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17\/62 + -3\/124. Which is bigger: -263 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 12 = -2*u, -15 = w + 120*u - 117*u for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-4 + 2*sqrt(325) + (sqrt(325) + -1)*-6) - -3*(sqrt(325) + -2 + -3)*2)*-6)**2.\nAnswer: -171360*sqrt(13) + 2334816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/((-198)\/154).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**30*a*a*a*a**(3\/10)*a assuming a is positive.\nAnswer: a**(-247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19342.1 - 19342. What is the closest to g in -16, -0.6, 2\/9, -3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 - 8*j - 8. Suppose 24*l - 1236 = 1644. Let a(k) = k**3 + 240*k - 119*k + 1 - k**2 - l*k. What is 8*a(r) + q(r)?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/11 + 1563\/737. Let g = f - 75\/268. Which is the biggest value? (a) -10 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 14 + 6*g**2 - 3*g**2 - 2*g**2. Let n be ((-1)\/(-1) - 38\/(-2))\/((-10)\/5). What is the hundreds digit of h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302.9 take away 104957922?\nAnswer: -104958224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0018*-0.146.\nAnswer: 0.0002628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95748086923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 792.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose 26 - 4 = m*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 3574634 - 3574634.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 9*v = 66. Let u(s) be the third derivative of 1\/6*s**v + 2*s**2 + 0 + 0*s**4 + 0*s - 1\/60*s**5. Factor u(z).\nAnswer: -(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 plus 62?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.944 + 2.8. Let l = o - -1.044. Let z = -0.2 + 0.3. Sort l, -2, z.\nAnswer: -2, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-85 - 2 - 11)*(-27 - 13*x + 27) as b*x + n and give b.\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3012 = -5*j + 6*j, 0 = -2*o - j + 6030. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -137*l + 1592. Determine c(14).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1188 and -6.8.\nAnswer: -0.80784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**2 - 42*b + 31. Let d(t) = 4*t**2 + 39*t - 30. Let r(u) = 3*d(u) + 2*h(u). Determine r(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*m + 207, 2*o + 4*m + 51 = o. Let x be o*6*(-2)\/4. Let l = -64 + x. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 1\/120*d**6 + 0*d**4 + 0*d**3 + 0*d + 1\/60*d**5 + 0 + 2*d**2. Find the third derivative of q(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(720) + 0 - sqrt(720) - sqrt(720))**2 + (2 + (-1*sqrt(720)*5 - sqrt(720)))**2)*6.\nAnswer: -3888*sqrt(5) + 142134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.3. Let h = 3287\/138 - -39\/46. Let w = h - 24. What is the closest to -1 in w, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -289 + 289.167. What is j rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - k. Let r(b) = 5 - 2*b**2 + 4 + 6 - 14 + 69*b - 70*b. Calculate 2*r(s) - 3*w(s).\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19260065 = -140*k - 47*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4850\/63 + 528\/7. Find the common denominator of q and -23\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -60 + 5. Let l = 13 - z. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15261 - 7\/((-105)\/(-25))*-3. Let u = s + 27243. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6*q*q\/q**(-3)*q\/(((q*(q\/(q\/(q\/(q**(1\/5)*q))*q))\/q)\/q*q)\/q)*q\/(q\/(q**(1\/10)\/q)*q*q*q))**(3\/4) assuming q is positive.\nAnswer: q**(309\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -3628\nAnswer: -725.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) 5 (d) 26823\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 86.0846 decades?\nAnswer: 0.860846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*m**3 + 166095*m**2 + 789237*m - 207690 = 0. What is m?\nAnswer: -5, 1\/4, 13846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 6)*-1*1. Suppose -3*b - b + 36 = a. Solve -5*q + 29 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a centimeter in micrometers?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-2 - -1 - 2). Suppose -51 = -5*f - l. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/(l*l**3\/l)*l*l**(1\/5)*l*(l**(1\/6)\/l)\/l assuming l is positive.\nAnswer: l**(-259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 2 + 202237655*g + 9*g**3 - 202237643*g to b*g**3 + f + k*g + p*g**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75435 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9262 + -9339. Which is the third biggest value? (a) 5 (b) -1.2 (c) -1\/4 (d) 0.2 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/5*(-1)\/162*30\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 430 + 1230 = 0. Let z = n - 146. Solve 3*u - z = b, u = 5*u - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122 is divided by 778.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 45. Suppose 2*i = -3*v + 21 + 9, -2*v + 40 = 3*i. Calculate the remainder when l is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 79*t - 4914. Calculate r(-120).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0385 - 47.3615. Let t = 32 + i. Round t to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 10) to base 9.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from pvpxvppn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -54 + 28*x**2 - 25*x**2 - 69 + 24*x. Is k(28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 10 = -5*q. Let p(k) = k**3 + 2*k**3 - 2*k**3 - q*k**3 + 5*k**2. Suppose 0 = 133*l - 318 - 81. Let g(i) = -3*i**2. Determine l*p(c) + 5*g(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - 73. What is the second smallest value in s, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132107829 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -58*a**2 - 1269*a - 25. What is g(-22)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1013\/89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1377) - (sqrt(1377) + (sqrt(1377) + -3*sqrt(1377) + sqrt(1377))*-2) - sqrt(1377))**2 - -1*sqrt(1377)*3).\nAnswer: 27*sqrt(17) + 12398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 4. Let k be m(-5). Suppose 2*l - 5*f = 29, -k = -l - 2*l - f. Suppose l*x = 6 + 2. Solve 0 = 3*a - n - 5, 4*a - x*n + n = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13a (base 14) to base 11.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10111110100000001010 (base 2) to base 13\nAnswer: -21421c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(4 + (-1*(2 + sqrt(432)))**2).\nAnswer: 720*sqrt(3) + 6600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 22. Let v = -26568.9152796 + 26655.9153. Let y = a - v. Round y to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*d + 13629 = 7104 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 653 - 1303\/2. Which is the fourth biggest value? (a) 14 (b) 0 (c) m (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f + 6 = 0. Suppose -i = -r - 0*r + 2, f*i + 2*r = 4. Factor 0*z + 1\/3*z**4 - 2\/3*z**2 + i*z**3 + 1\/3.\nAnswer: (z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -13.9. Which is the closest to -1? (a) 0.4 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 74*z**2 - 1079*z - 8. Give j(-54).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 455*g**2 + 49*g + 49. Let t(z) = 7 + 366*z**2 + 2*z - 347*z**2 - 5. What is -2*i(c) + 49*t(c)?\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450292, 900613, 1350944, 1801285, 2251636, 2701997?\nAnswer: 3152368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -42. Suppose 0 = 2*z - 7 - g. Let h(n) = -n**3 + 6*n**2 + 3*n - 1. Calculate the remainder when h(3) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -5*i**7\/14 + 199*i**6\/30 - 33*i**5\/20 - 251*i**4\/12 + 8*i**3 + 26*i**2 - 513*i. Solve x(o) = 0 for o.\nAnswer: -1, -2\/5, 2\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -5. Let z = 1.44485088 + 5.55514982. Let y = v + z. What is y rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229905.\nAnswer: 3, 5, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8966595 rounded to the nearest 100000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -x, 7*x - 3*x + q - 20 = 0. Suppose -39*p = -40*p - 4*a + 1, x = 4*p - 5*a. Let r(f) = -10*f**3 - 2*f**2 + 3*f - 1. What is r(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u = -103341 + 435717. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -340209 and -1.48?\nAnswer: 340207.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -11*d**2 - 3*d - 20. What is the derivative of z(t) wrt t?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291 = 7*g + 1305 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 + -5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**4*x**2 - 4*h**4*x - h**2*x**2 - 5*h*x**2 + 8 wrt h.\nAnswer: 336*h*x**2 - 96*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Suppose 0*r = -r - y*i + 42, -r + 36 = 2*i. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011101100100110 (base 2) in base 7?\nAnswer: 2430643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/3 - 22\/3. Let b = 2.19 - 0.19. Sort c, b, -0.3 in decreasing order.\nAnswer: b, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -488 + 1175. Let d = -361 + h. List the prime factors of d.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) -3\/4 (c) -17 (d) 4 (e) -112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/24 + 7\/(-2). Suppose 5*i = -2*s - 29 + 45, 5*s - 7 = 4*i. Sort -2, k, s, 4.\nAnswer: k, -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6)*42\/4. Let n(c) = 1. Let w(p) = p. Let m(i) = n(i) - w(i). Let s(d) = 2*d - 2. Give r*m(l) + 3*s(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose 5*f + 7*l + 2 = 3*l, 2*f - w*l = 16. Suppose 0 = 2*h - f*i - 12, -4*i - i = 10. Solve -5*o = -h - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6 - 6 = -2*s, 0 = -263*i + 261*i + 4*s + 40 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 272, 1680, 5502, 12944, 25212, 43512, 69050, 103032?\n\"Answer: 201*b**3 + b**2 - 2*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43779*y + 79542.\nAnswer: 43779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112058 * 0.1.\nAnswer: -0.0112058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89600*v + 3 - 3.\nAnswer: 89600*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 9. What is the hundreds digit of r(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -642 divided by 3.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*x**2 - 28*x - 28*x + 31*x - 28*x + 53*x.\nAnswer: 338*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -4)*32\/(-6). Suppose 0 = -7*f + 3*f - b. Let g be -1*(f - -2) - 2000002. Round g to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -13 + -10 + 28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = z - 4*f, 4*z = z + 4*f + 1. Suppose z = c + 4*s, 4*c + 5*s = 39 - 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11 = -n, 3*n - n = y + 7. Let t(i) = -4*i**3 + 5*i**3 - n*i - 2 - 2*i**3 - i**2. What is the units digit of t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1031687.2 - 11311499.\nAnswer: -10279811.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -7*z**2\/9 - 338*z\/9 - 32\/3 = 0.\nAnswer: -48, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6 - 3*m**2 - 2*m + 0*m**2 - 3*m + 4*m**2. Let k be i(-4). What is the units digit of (k\/(-4))\/((-9)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-5)*10\/3. Find the common denominator of (147\/48)\/(2\/u) and -113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**2\/2 - 875956107*k\/4 + 36498171.\nAnswer: 3*(k - 48664228)*(6*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 1. Let x be -5*(8\/(-2) - 2). Suppose -44*q + x = -39*q. Let a(l) = 9*l**2 - 7. Give q*f(z) + a(z).\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*v = -381328 + 1865830. Calculate the least common multiple of v and 2.\nAnswer: 3702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(252))**2 + sqrt(1008) + -3)*6.\nAnswer: 72*sqrt(7) + 13590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**2 - 73*h?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 2*z + 68 + 4*z - 10391*z**3 + 83.\nAnswer: -10391*z**3 + 2*z + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62424 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - h + 15 = 2, -4*h + 7 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -4)\/(530\/53)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -117, 4, -154, -7, -3 in increasing order.\nAnswer: -154, -117, -7, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01048 - -0.03.\nAnswer: 0.01952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251.66 - 253.66. Let a be 63\/(-60) + 2\/(-10). Let v(i) = -i**3 + 5*i**2 - 5*i + 3. Let d be v(4). What is the nearest to a in f, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178 = -71*u - 6*u + 670 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/(42\/(-7)))\/((4\/(-6))\/(24\/18)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 467*u**3 + 28*u**2 wrt u.\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + 2*r + (-34 + 18 + 18)*(2*r - 6*r + 2*r))*(-21*r + 21*r - 9*r**2).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775 a factor of 344591933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 78. Let f be 5*(-3 + 4)*(8 + 0). Solve 4*y - p = 24, 3*p - o = 3*y - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9479 is divided by 306?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 p when four letters picked without replacement from {p: 3, t: 1, k: 3, j: 7, h: 4}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 317867743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 14 = 4*b. Let k be 68\/7 - 2\/b. Suppose k + 17 = 2*w - j, -4*w + 3*j = -57. What is the remainder when 34 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(-2\/7)*h*h**(2\/17)\/h*(h**(-1\/3))**(-46) assuming h is positive.\nAnswer: h**(6332\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 5*h - 2. Let g(p) = 0*p**2 + 20*p + 23*p + 10*p + 5 - 7*p**2 - 43*p. Determine 2*g(q) + 5*l(q).\nAnswer: q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-55 - 7) + 5 + 8?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 0\/(-3))\/2. Let j be (-9 - o - -4) + 1. Which is greater: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4962797 and 56717680?\nAnswer: 397023760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.69? (a) -0.1 (b) 5 (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3 + 12*g**3 + g**3 - 5*g**2 wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((825\/(-6))\/(-11))\/(13\/156*36\/6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43744734 and 16?\nAnswer: 349957872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10858980*w**4 - 9228183?\nAnswer: 43435920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13898799)\/(24 - 41 - -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324597*p**3*t**3 + p*t**3 - 59*p*t**2 + 170*p + 2 wrt p.\nAnswer: -1947582*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64896 and 1254864.\nAnswer: 130505856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5246807 (base 10) to base 7\nAnswer: 62411546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14368716*j**2 + 37550065?\nAnswer: 28737432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 + -7 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 4 - 2\/(3 + (8 - 10)). Determine h so that 8\/5*h**2 + 0*h - 84\/5*h**4 - 4\/5*h**3 + y = 0.\nAnswer: -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.036?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196639?\nAnswer: 17, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.02 - -0.02. Let l = -3 - -4. Let k = 6.3 + -6.2. Which is the closest to k? (a) g (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 124. Suppose 74 + t = 4*u. Suppose 0*r = -r + 3*q + 21, 2*r - 4*q = u. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.05 (b) -6 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*g = 115*g + 242182. List the prime factors of g.\nAnswer: 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 3*w**3 - 4*w**3)*(-8063 - 2*w + 16126 - 8065).\nAnswer: 8*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9952 or -9948?\nAnswer: -9952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u**2 + 3*u - 1)*(-4*u + 3*u + 3*u)*(-1 + 1 + 15).\nAnswer: -30*u**3 - 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 56?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/36)\/(4\/(-6)). Suppose -3*c + 9 = -4*k - 7, -c = -5*k - 9. Factor -2\/3*n**3 - 1\/3*n**c - z*n**2 + 0*n + 0.\nAnswer: -n**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s**2 - 3*s + 37. Let c(g) = -71*g**2 + 8*g - 110. Let m(x) = -3*c(x) - 8*y(x). Differentiate m(p) with respect to p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38010?\nAnswer: 2, 3, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*r - 17, -5*i = -2*i + 2*r. Suppose i*w + w = 48. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 112 = -2*g. Let c = g + -28. Solve -f = 3*f + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(3) + 3 - (sqrt(108) - (sqrt(108) + (sqrt(108)*2 + sqrt(108) - sqrt(108))))**2.\nAnswer: -429 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = 11*c - 15*c. Let p = 583 + c. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g**2 + 131*g + 66. Calculate o(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 114\/171*(-9)\/2. What is the closest to -1\/4 in 0.1, k, -8\/5, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 381 - 1281. Let s = -149 + g. Let k = -81 + s. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68.5 - 69. Which is the closest to 0? (a) 0 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 277122, 277181, 277202, 277167, 277058, 276857, 276546?\n\"Answer: -3*f**3 - f**2 + 83*f + 277043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Let p(a) = a**3 - 8*a**2 - 3*a + 3. Let l(t) = t**2. Suppose -4*m + 5 = 1. Let n(q) = m*p(q) + 5*l(q). Calculate n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1091 (b) -2\/23 (c) 0.4 (d) -4\/3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -231332110020 (base 4) to base 8\nAnswer: -55762410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/54 + -4 + (-26)\/(-36)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.86 + -0.16. Let p = r - 0.2. Let l = -0.2 + 0. Put l, -2\/11, p in increasing order.\nAnswer: l, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, -205, -612, -1159, -1834?\n\"Answer: 2*j**3 - 88*j**2 - 5*j + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 11) in base 16?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3248.23 decades to centuries.\nAnswer: 324.823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58678*y**2 - 9953*y**2 - 48726*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*y**2\/5 - 458697*y\/5 - 32764\/5.\nAnswer: -(y + 32764)*(14*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 1079963*o + 1166320081369.\nAnswer: (o - 2159926)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -3*p + 5*f, 19*p + 4*f - 252 = 16*p. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 6*w**5\/5 + 8*w + 9. What is the derivative of j(o) wrt o?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23423 + 23428. Sort 3, z, -2, 4, -5 in increasing order.\nAnswer: -5, -2, 3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.406 and 1.7?\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 10. Let t be (-14)\/(3 - 5)*1. Let r(v) = 2*v - 9. Let m(g) = t*r(g) - 6*s(g). What is the derivative of m(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -0.44554.\nAnswer: -0.74554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**5\/15 - 9*p**2\/2 + 6. Let f(h) be the second derivative of u(h). Let t(d) = 13*d + 8*d + 13*d - 40*d. Give f(t(y)).\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*l + 14, -7*n - l - 9 = -3*n. Let m be (n + 10)*((-218982)\/9 - 2). Round m to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25372230 divided by 5826\nAnswer: -4355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 4*r + 33. Let n = r - -70. Suppose -3*o + 3*k = -n, 6*o - k - 73 = o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 7. Let g = -4 - p. Solve 8*q**4 - 3*q**5 + g*q**3 - 2*q**4 + 7*q**5 = 0 for q.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57937 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(4\/7)\/i))\/i*i*i**(1\/5)*(i**(1\/6))**(-1) assuming i is positive.\nAnswer: i**(97\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 2*v**2 - 3*v + 2. Determine n(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*q**3 + 46*q - 306*q**3 - q.\nAnswer: -q**3 + 45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 12.6. Let z = d - 1.7. What is the nearest to z in 5, -0.2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + q**3 - 3*q**3)*(-3*q + q + 4*q) - 3*q**4 + 2*q**4 - 2*q**4 - 2*q**4 + 0*q**2 + 0*q**2.\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -3 + sqrt(847)*-3 + 6*(-1 + sqrt(847)))**2 - ((-2 + 3 + 2*sqrt(847) + sqrt(847) + sqrt(847))**2 + -3).\nAnswer: -880*sqrt(7) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 0*i**3 + 3*i**2 - 7*i - 12*i + 0*i**3 - 2*i**3 in the form o*i**3 + q + z*i + j*i**2 and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 288db4 - -2?\nAnswer: 288db6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69742025 and 42025?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 - 5*y + 5. Let l be (-2)\/(-7) - (-429)\/91. Let i(a) = -2*a**3 + 4*a**2 + 4*a - 4. Let f = -233 - -237. Calculate f*o(j) + l*i(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*t**2 - 24*t**2 - 24*t**2 - 1 - 4*t**4 + 74*t**2 + 0 - 14*t**3 - t in the form f*t**4 + p + x*t**2 + b*t + w*t**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154*390.9.\nAnswer: -60198.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/42 - 0)\/((-1)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 0*p**3 + 2*p**3)*(-2*p - 1 + 1) + 72*p**4 + 62*p**4 - 92*p**4.\nAnswer: 38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -3, -0.37178, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.4 (c) -0.626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*u + 461*u - 1596*u + 548*u.\nAnswer: -98*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 5 (c) 0.6 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (5 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2580 and 171501630?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -186, -3, 33, 6, 1 in decreasing order.\nAnswer: 33, 6, 1, -1, -3, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 6:19 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 359*d - 12348. What is f(32)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6426 - 546. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - 1\/(-1). Let b = 8 - 5. Suppose b*n - 3 = 0, -d*n = 2*j - 5*j - 9. Let i(k) = -2*k**3 - k**2 + 3*k + 2. What is i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248052 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 - 423 - (10 - 2)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*n - 562 + 220. Let l = 7 - 8.4. Let f = 0.6 - l. Which is the third biggest value? (a) -2\/15 (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:46 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72, 78, 104, 162, 264?\n\"Answer: 2*u**3 - 2*u**2 - 2*u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*z - 22 = 0, -8 - 19 = -5*f - 3*z. Is (-231)\/44*(-16)\/f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + 4*r - 768, 15 = -5*r. Suppose 4*y - u = -3*l + 300, 4*y - 3*l = 432. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 32 = 3*u, -r = -4*u - 0*u + 12. Let l = 1 + u. Suppose 0*d + 4*d = 5*j - 33, 5*j + l*d = 15. Solve -j*h + 4*h = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662588 is divided by 101?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/64 and 31\/139308.\nAnswer: 2228928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079916 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285 - -204. Let v be x*(3 - 2)\/1. Suppose 0 = b + 2*b - v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -3.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Let k = -46\/199 - -24937\/1990. Find the common denominator of k and 126\/44 + x + -4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 1, j: 7, y: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-14))\/2)\/((-181)\/((-1621760)\/(-384)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (6 - 3)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 9 = -y, y + 7*h - 815 = -797 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - 1*4*sqrt(405) - sqrt(405) - sqrt(405)) + 4)**2.\nAnswer: -360*sqrt(5) + 10141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(11\/2) + (-8694)\/(-99)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6 - 2450*d**5 + d**4 - 8203*d**2 wrt d.\nAnswer: -240*d**3 - 147000*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 2*x**2 - 2*x**2)*(-4*x**2 + 2*x**2 + 0*x**2) - 8*x + 8*x - 9*x**4 as h*x**4 + q*x**2 + b*x + m + n*x**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -f36 (base 16) to base 7\nAnswer: -14232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((-2)\/3). Let c be 4*(-3 - -2)*j. Let v = -7 - c. Put v, 3, -2 in ascending order.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/53725 - -5426173\/1396850. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(182)\/(-3*sqrt(7)) - 1*sqrt(416))\/(3*(sqrt(198)\/sqrt(11) - -5*sqrt(4)\/sqrt(2))).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 199*m + 195*m + 2 - 392*m. Let p(t) = 2*t**2. Calculate b(p(h)).\nAnswer: 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291256 and 1977866?\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 9\/18482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468 is divided by 146.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/8*(654\/(-126) + 5). Let u = 104 - 726\/7. Let w = u + o. Which is smaller: w or 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18636201.\nAnswer: 3, 281, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 5. Let o = b + 4.2. Put 4\/9, -7, o in ascending order.\nAnswer: -7, o, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:34 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46538*w**3\/11 - 4095340*w**2\/11 + 8190656*w + 704.\nAnswer: 2*(w - 44)**2*(23269*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 234000 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 - 2 + 4 - 3*d**3 + d**4 + d**4 - d as n*d**2 + x*d + w*d**4 + l + v*d**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 11*f - 6. Suppose -21 = -5*i - 11. Sort -3, i, f, 5.\nAnswer: -3, f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -28. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6961\/7370 + 222\/335. Let q = d - -1\/10. Let h = -8 + 11. What is the closest to -2\/3 in q, h, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + d - 1. Let o be r(1). Suppose -4*u + 8*u = -o*p + 20, -2*p + 2*u + 26 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3627684816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 0.081 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from {l: 3, j: 2, y: 2, h: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*((sqrt(200) - (3 + (sqrt(200) - (-1 + sqrt(200))) + sqrt(200)) - sqrt(200))*1*-6)**2.\nAnswer: 34560*sqrt(2) + 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.87 + -6.91. Let h = -0.04 - f. Is 0 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6 - 2. Let r be ((-1)\/(-2))\/(u\/168). Suppose -r = -4*o + 19. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d - -43?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -979.26\nAnswer: 1468.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 15*v - 8. Let z = 17 - 3. Suppose 23*a - 21*a = -z. Does 6 divide p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -14. Let u be -5 + (4 - a\/35). What is the second smallest value in -4, u, -1\/10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.52154 litres to millilitres.\nAnswer: 7521.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 6, 19, 38, 63, 94, 131?\n\"Answer: 3*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-2 + 4 + -3). Let o be (2 - 5)\/12*-12. Let y(v) = 3*v**3 - 5*v**3 + 5*v**2 - 1 - v + 0 + v**o. Calculate y(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:35 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-8792)*90\/2835*-84.\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -148*h**3\/7 + 44088*h**2\/7 - 11840*h = 0.\nAnswer: 0, 70\/37, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*i - 1884*i - 3100*i.\nAnswer: -4379*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:49 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42487 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*2\/14*-7. Solve q = 4*b - 12*b - 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 + 4*x. Suppose 0 = 2*s - 10, l + 2*s + 53 - 14 = 0. Let u(t) = 84*t**2 - 49*t. Let w = -4762 - -4758. Give l*v(k) + w*u(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)\/u*u\/u**9 assuming u is positive.\nAnswer: u**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92448.505 + -5190.5186. Let c = o + -87226. Let u = c + -32. Round u to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17825147 is divided by 9318?\nAnswer: 9131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 9*p + 15. Suppose -4*v = -4*h + 270416, -338004 = p*v - 0*h - h. What is v rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000553481685 rounded to seven dps?\nAnswer: -0.0000553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532476?\nAnswer: 2, 61, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4a28c (base 16) to base 4\nAnswer: 1022022030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 262*c**2. Let f(n) be the third derivative of -n**5\/60 - 248*n**2. Give d(f(u)).\nAnswer: 262*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i\/i**3)\/i)*i)\/i)\/i**(-1\/4)*i**(-3\/2)\/((i*i\/(i*i*i**(3\/4)\/i))\/i))**(-41) assuming i is positive.\nAnswer: i**(-205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3632)\/152 + -9 + 6\/(-57). What is the second biggest value in -0.5, -0.02, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 19\/(-76)*(-13472)\/376.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Solve f*x - 3*x = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1073 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Let s = 3.43 - 3.6. Let k be (237\/790)\/((-18)\/75) - (-21)\/20. Put k, s, d in decreasing order.\nAnswer: d, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 260.5 + -260. Which is the nearest to -13? (a) 2\/17 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69259 not equal to 126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4680 is divided by 2117.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 + 3 = 0. Let k be (1 - 1)\/(0 - q). Suppose -4*w + 2 + 6 = k. What is the closest to w in -2\/3, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14566, 14028, 13490, 12952, 12414, 11876?\nAnswer: 11338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9376892ug?\nAnswer: 0.0000000000009376892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 675\/86 in 2, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 330*r - 631. List the prime factors of d(7).\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1680 divided by 168\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j = 17*j - 29*j + 624 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-15) - (-1 - -3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l + (2*l + 1 - 1)*(1 - 4 + 4) - 2*l + 0*l + 3*l + 0*l - 2*l + 4*l + 7*l - 4*l + 0*l)*(-89*l**3 - 17*l**3 + 17*l**3)*(5 - l - 5).\nAnswer: 801*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12.2 times 13628.8\nAnswer: -166271.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20858, -20862, -20868, -20876, -20886, -20898?\n\"Answer: -n**2 - n - 20856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.54 - 0.54. Let a = p + -1.9999942. What is a rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2683, -2 in descending order.\nAnswer: 2683, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.9 + -0.6. Let o = f + -6.2756. Let n = o + -0.015. What is n rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 39) + -6 + 3 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.78 + 28.78. Which is the closest to -0.2? (a) i (b) -2\/3 (c) 0.4 (d) 0.029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 5. Let s be n(6). Let a be (s - 5)*((-1790)\/8)\/5. Let z = -107 + a. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 7.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14066356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/6 + 25*i**2\/2 - 527*i\/6 - 201\/2 = 0.\nAnswer: -1, 9, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*a - 16 - 12 = 415*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -184714075?\nAnswer: 184714073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40380483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*y + 35, -3*y - y = -2*v - 22. Let x(f) = -y*f - 2 + 6*f + 1 + f**2. Suppose 7*i - 2*i + 20 = 0. Let l(n) = n. What is i*l(t) - 2*x(t)?\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g + 4*n = 8, -3*g = n - 2. Let p(z) = z**3 + z**2 + 8. What is p(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 = -3*u + 1, -7 = -3*s - 2*u. Let q(v) = v**3 - 8*v**2 + 2*v - 11. Let d be q(8). Sort d, 0, s in increasing order.\nAnswer: 0, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*((5*v**3 - 10*v**3 - 13*v**3)*(-v - 5 + 5) - 4 + 4 + 2*v**4).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 494*s**3 + 394*s**2 - 392*s - 2. Determine x(1).\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -4, 173, 0.5 in increasing order.\nAnswer: -4, -0.18, 0.5, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 + 19 = 5*k. Calculate the greatest common divisor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 - 4*z**2 + 15. Let q(h) = -2*h**3 + 2*h**2 - 7. Suppose 103*o - 99*o = 3*s + 18, 2*s = -4*o - 12. What is s*w(u) - 13*q(u)?\nAnswer: 2*u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x - 101 + 308 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.8 - -1065537584.\nAnswer: 1065537605.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/13601?\nAnswer: -2\/13601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b674 (base 12) to base 8.\nAnswer: -310770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 7*t**2 + 5*t + 8. Let b be o(6). Let v(w) = b*w + w - w. Let i(g) be the first derivative of -2*g**2 - 1. Calculate v(i(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.554371 + -97.6918?\nAnswer: -287.246171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 25. Let k = s - -3. What is the third smallest value in -1\/9, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -2*x - 2*c + 35, 728 = 4*x - 4*c. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 1, 37 in decreasing order.\nAnswer: 37, 1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 37. Let y be 3\/1 - -2*(-1)\/x. What is the third derivative of -f**6 - 106*f**y + 78*f**2 + 7*f**6 wrt f?\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -d + 3*u - 3, 3*d - 20 = -4*u. Let h be (-3)\/(-5) + 14\/10. Suppose h*g - 1 = 7. Solve p + d*p = -g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13287715*-13.\nAnswer: -172740295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*51.4.\nAnswer: -359.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 272.\nAnswer: -29\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2\/4 - 425*g\/2 + 845\/4 = 0. What is g?\nAnswer: 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:15 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*k + 70, 3*t - 8*t - k + 98 = 0. Solve 0 = -5*f - 3*q - 10 + 30, -5*f + 2*q = -t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - 1 - (-2 - (20 - 43)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 7) in base 14?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 14) + 3 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 12. Let n = -73 - -77. Suppose -3*m + g = -n*s + 5*s, 1 = s. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h - 15. What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 5*q**5 - 4*q**5 + (0*q**3 - 3*q**3 + 0*q**3)*(4*q**2 + 2*q**2 - 4*q**2).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115624 is divided by 13905?\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let n(w) = 282*w**2. Calculate d(n(j)).\nAnswer: 159048*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139959.\nAnswer: 1139959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 36*x.\nAnswer: x*(x + 72)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1671*u**3 + 9*u - 457. Let h(s) = -418*s**3 - 2*s + 113. Let f(b) = -9*h(b) - 2*i(b). Differentiate f(x) with respect to x.\nAnswer: 1260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -25. Let p(a) = -a + n*a + 3 - 2*a - a. Let w(t) = -21*t + 16. Suppose 5*q = -3*k - 46, q = 2*q - 4*k + 23. Calculate q*p(v) + 2*w(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81489505 is divided by 3004?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 843277 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88437, 88161, 87895, 87645, 87417?\nAnswer: 87217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 + 17*g**2 + 11816 - 5913 - 5903 - 33*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 74. What is the smallest common multiple of n and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -35, -106, -215, -374, -595, -890?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -72?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139601 is divided by 378?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y + 35*y**2 - 24*y.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 3 in decreasing order.\nAnswer: 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 91. What is the least common multiple of 214 and i?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + q + 251, p - 3*q - 43 = 10. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 70*(7 - (-51)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-6) - ((-20)\/(-6) + -4). What is the units digit of (32 - 3)*11 + z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.468, 0.2, 2 in increasing order.\nAnswer: -0.468, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 5. Suppose -z + 2*c = -2*c - 1, 0 = -2*c. Let t(v) = v - 1. Let h(m) = z*w(m) + 2*t(m). Determine h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 5 (c) -5845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:46 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w + 1. Let h(a) = 2*a**2 - 8*a + 4. Determine 4*c(g) - h(g).\nAnswer: 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, s: 5}. What is prob of picking 2 u?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/36)\/(-7)*-2*(-105)\/(-7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 238?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k - 5*f + 6, 0 = -2*k - f - 4. Suppose -4*i + 0 = -8. Which is the closest to 12? (a) 3 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 22\/56545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -216*d**2 + 14. Let x(j) = j. Determine p(x(c)).\nAnswer: -216*c**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1072*p**2 - 561*p + 24. Let b(m) = 1071*m**2 + 561*m - 16. Let l(x) = -3*b(x) - 2*i(x). Find the second derivative of l(j) wrt j.\nAnswer: -2138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193990681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 38. Let z be a(-19). Is (25\/(-10) + z)*-70 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/89159578 and 103\/2521222?\nAnswer: 980755358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-28) + (479\/(-1437))\/(-2 - 8\/3).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 27*i + 316*i**2 + 2*i - 136 - 10*i. Is l(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111508 - 110980 = 264*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5376\/(-888) - 4\/(-74)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(6)\/sqrt(2)*-6 + -1.\nAnswer: -6*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 508, 1118, 1860, 2722?\nAnswer: 3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - q - 6*q)*(-7 + 1 + 4 - 11*q**2) in the form n*q + u*q**3 + m + i*q**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4\/7 - 72*y**3\/7 + 255*y**2\/7 - 306*y\/7 + 120\/7 = 0. What is y?\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 + (-2 - -3) - (-36)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**3 - 180*a**2 + 8*a - 372. Let i be s(45). Suppose -5*w = -4*t - 28, -24 = 2*t + 2*w + 8. Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-126))\/(((-8)\/282)\/(-4)*4\/1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdded. Give prob of sequence dde.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t**(2\/21)*t)\/t))*(t*t**(3\/4)*t*t)\/t*t)**48\/((t**(-1\/5)\/t**3)\/(t*t**6*t*t**(-2\/29))) assuming t is positive.\nAnswer: t**(198638\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 6. Let b be d(-5). Suppose -u - b = 4. Let x(h) = 3*h**3 - 5*h + 4. Let s(y) = -y**3 + y - 1. Calculate u*s(r) - x(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1010.14 + -986. What is c rounded to zero dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -200222211?\nAnswer: -201000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 65 = 4*t. Let p = 75 + -38. What is the remainder when p is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -33. Let z = -16 + a. Let u be ((-28)\/(-98))\/(0 - 2\/(-14)). Sort z, 5, u.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 11*t = -360. Let j be (36\/(-30)*-1)\/((-6)\/(-460)). Suppose -3*b = 2*s - 0*b - j, -230 = -5*s - b. Calculate the remainder when t is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 118\/(-236) - (-382)\/748. Which is the smallest value? (a) u (b) -1.7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6388 divided by 1990?\nAnswer: 3194\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-12))\/(2\/6). Suppose -n*c = -43 - 65. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.255 take away 28.9482?\nAnswer: -29.2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 4*i + 4. Let g = 7 - 3. Calculate the lowest common multiple of v(g) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0*j**2 - j**2)*(j**3 - j**2 + j**2) + 32*j**5 - 11*j**2 + 11*j**2.\nAnswer: 33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a - 26*a + g, 2*a + 3*g + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*g + 13, 2*g + 6 = 3*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54665 is divided by 13652.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 31, 16, 69, -1 in descending order.\nAnswer: 69, 31, 16, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-42566560)\/120)\/86)\/(1\/3*-1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*o - 27*o + 2412. Let r = 634 - o. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2838\/127 or 0.85?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -4*w, 5*w + 11*f - 5 = 6*f. Solve -3*t + 8*t = w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**6)\/(p\/(p\/((p**(-15)\/p*p*p)\/p))) assuming p is positive.\nAnswer: p**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c. Let d(l) = -2*l. Let z(f) = -13*d(f) + 6*k(f). Let y(s) = 16 + 4*s**2 + 16*s**2 - 10 - 6. Give y(z(q)).\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 + 2*d**3 + (-2*d + 0 + 0)*(3*d**2 + 2*d**2 - 4*d**2) - 4*d**3 + 2*d**3 - 23*d**3 - 149*d**2 - 2*d**3 - 190*d**2 + 371*d**2.\nAnswer: -27*d**3 + 32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3955 (base 10) to base 4\nAnswer: 331303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -x - 21, -3*o = 3*x - 2*o + 42. Let w be (-114)\/72 - 10\/(-8). Which is the nearest to -0.2? (a) x (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150726.206 minus 10?\nAnswer: -150736.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*x - x**2 + 99*x + 390 + 4*x**3 + 0*x**3 - 391 to q*x**2 + k + c*x**3 + p*x and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piipaii. What is prob of picking 1 a and 1 i?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26485123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -5*d + 3*d, 3*g + d = 8. Suppose g*q = 2*z - 0*q - 53, 0 = -3*q + 9. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*l - 3*y, -2*l + 9 = -2*y - 1. Let r(b) = b + 3. Let t be r(-3). Let u be (t - (4 + -4))\/(-1). Solve g + g + l = u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from crrrcrrrcrrrrcrrcrrr.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.2 (c) 3\/8 (d) -2\/2645 (e) 4 (f) -1\/3 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3. Let q be -102 - (-6)\/(b - 4). What is q rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 18. Is 5 - -42 - (q - (3 + 0)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**29)**(-44) assuming g is positive.\nAnswer: g**(-1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 - 2*i**3\/3 - 7*i**2\/2 - 5*i. Determine b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a**2 + 4. Let i(b) = 13*b**2 + 4. What is -3*i(h) + 2*n(h)?\nAnswer: -13*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18897 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2592\/17*x**3 + 2882\/17*x + 51984\/17*x**2 + 40\/17 = 0. What is x?\nAnswer: -20, -1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 - 2*y**3 - y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13*o + 2. Let u be j(-6). What is the tens digit of (u\/(-20))\/((-2)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*p + 147*p - 2*p**2 + 47*p in the form x + q*p**2 + c*p and give c.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let r = -2.8 - o. Which is the second smallest value? (a) 2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c = -2*f - 19, -5 = c. Let l(k) be the second derivative of -f*k**2 + 4*k - 1\/6*k**3 + 0. What is l(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7496 + -7472. What is the greatest common divisor of 3372 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*o - 113 + 138, -5*n - 25 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101565341?\nAnswer: 157, 646913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*r = 98*r - 137*r + 2322 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/7 - 45*o**4 - 10606*o**3\/7 + 2551782*o**2\/7 + 10332527*o\/7 + 7770453\/7 = 0.\nAnswer: -191, -3, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/((n*(n**0\/n*n)\/n)\/n))\/n))**(-43)*(n\/n**(-8))\/(n\/(n\/n**(-1\/5))) assuming n is positive.\nAnswer: n**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 71, 12, -0.2, -3\/4.\nAnswer: -3\/4, -0.2, 0, 12, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 1. Let c be ((-27)\/(-6))\/(-3)*2. Let w be u(c). Suppose -w*p + 15 = -p, 3*x + 4*p - 53 = 0. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 5*b - 5*b - 3*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18515 - -18893.88. What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344130432 (base 6) in base 7?\nAnswer: 105014441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**5\/30 - 31*h**4\/24 - 7*h**3 + 4*h**2 - 4. Let v be t(-12). Calculate the highest common divisor of v and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = 2*f + 5*r + 258, f - 2*f - 2*r = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4a6 (base 13) to base 15.\nAnswer: -10ce5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*y + 5*y. Let s(b) = 5*b**2 + 8*b - 13. Let v(m) = -m**2 + 5*m**2 - 3 - 603858*m - 3*m**2 + 603860*m + 0*m**2. Determine y*s(w) - 18*v(w).\nAnswer: 2*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16266846 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 2. Let v be a(-5). Suppose -v*l - 2*l = 0. Let i(j) = 199*j + 3. Let y(g) = 249*g + 4. Let c(z) = 5*i(z) - 4*y(z). Determine c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2 + 46\/3 and (-4)\/16 + (-279)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11298*m - 45188. What is b(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leleeeeeeeeeleeeeeee. Give prob of picking 3 e and 1 l.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -149, -201, -253, -305?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 divided by 4?\nAnswer: 573\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)*9\/6 + 44\/10736*-724?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -206*q - 1133. Calculate r(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*27\/6*1\/(-3). Solve -f + 19 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 217*f + 361. Calculate i(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26341441 and 1?\nAnswer: 26341441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77467758001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-48)*-4)\/(2\/(-44))*2165\/(-433)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2 + 146 + 8*b + 134 + 1449 + 6*b**2 wrt b?\nAnswer: 16*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a12 (base 13) in base 9?\nAnswer: 58513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000341877805 rounded to seven decimal places?\nAnswer: 0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 620, 667, 700, 713, 700?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*l = 381*l. Let f = -44 + 46. Solve l = -p - f*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-78)\/12 - (-4 - 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 1 + 768*f**4 - 2*f - 4*f**3 + 4*f**2 - 766*f**4 to the form v*f**3 + k*f + g + h*f**4 + u*f**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-15)\/(3150\/20) + 82\/(-21). Which is the closest to 1\/6? (a) v (b) 0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/((-1)\/(-6)). Suppose 0 = 70*m - 2*m. Put f, 5, m in descending order.\nAnswer: f, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -14572*x - 3905304. Determine v(-268).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-9) - (2 + 110)\/(-2). Let s be 0 + 1632\/105 + (-22)\/v. Which is smaller: s or 16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(-3) - -12 - -12138?\nAnswer: 2, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 149*p - 2034. Calculate i(16).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 3:24 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-32))\/(1\/40). Let p(v) = -v**3 + 4*v**2 + v. Let k be p(4). Solve 0 = k*o + 2 + x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028773 to five dps.\nAnswer: -0.00288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h - 5*h + h - 4*h to the form j*h + z and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/3)\/(6\/(-4)). Suppose 5*i - 4 - s = 0. Is 5 a factor of i\/3*3*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -812*g. Let s be q(-2). Suppose 526 + s = -5*o. Let b be 80\/(-1 + (-434)\/o). What is b rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425*0.1.\nAnswer: 42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**2 - 450777*g + 225384*g + 225393*g.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Suppose 0*i = 3*i - 21. Let y(c) be the second derivative of i + c**3 - 5 + c - 2. What is y(n(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 22806672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-1)\/2)\/(3\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9496*a**4*w + 34*a**2*w**2 - 4*a*w**2 + 232*a - 129*w**2 - 3*w wrt a.\nAnswer: -113952*a**2*w + 68*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*z + 960 - 8695, -z - 4633 = -3*g. Let n = -9227\/6 + g. Find the common denominator of n and 0 + (-3 - (-41)\/18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41.011343 and 1683.\nAnswer: 1641.988657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10019402 to the nearest 1000.\nAnswer: 10019000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 42 - 6. Let j = 34 + f. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.467 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17)*2*3 - (sqrt(204)\/sqrt(4))\/sqrt(3)) + (1*sqrt(17)*-5 - sqrt(17)) + sqrt(17) + sqrt(68)\/sqrt(4) + 1.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80111602283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1412121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5290\/230*(-17*8\/(-68))\/(-1 + -1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + (sqrt(325) - (sqrt(325) + sqrt(325)*2 + sqrt(325)) - sqrt(325))*-3*4))**2.\nAnswer: 86400*sqrt(13) + 26957700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -128, -15, -1, -2 in ascending order.\nAnswer: -128, -15, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.5 (b) 59108 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/3 + 1160*r**2\/3 + 1156*r\/3 = 0 for r.\nAnswer: -289, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.566299 to 1 decimal place.\nAnswer: 34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1785854 to the nearest 10000.\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 6. Suppose -p = -0*p + 10. Let w = p + 18. Calculate the greatest common divisor of m and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 77*p + 227. Calculate n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250262 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7.594605 days?\nAnswer: 10936.2312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*23795973.1.\nAnswer: 11897986.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n**2 + 14*n. Let v(y) be the first derivative of 2*y**3 + 5*y**2\/2 + 73. What is 3*p(b) - 8*v(b)?\nAnswer: 6*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2688.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -263364 divided by -4?\nAnswer: 65841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -9 - 6. Suppose 11 = c*j - 44. Suppose 4*f - 3*l = 115, 0*f = 2*f + 2*l - 68. Calculate the remainder when f is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 37 - (6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/11*1*(-8602)\/92.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1544 - -100?\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 23. Let h be f(4). Suppose 0 = 4*q + h*l - 46*l - 15, 5*l + 25 = 0. Factor q - 2\/7*i - 2\/7*i**2.\nAnswer: -2*i*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtbbbbbtbttbbtbtttb. Give prob of sequence bb.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(612) + 3)**2.\nAnswer: 60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33160, 34434, 35710, 36988, 38268, 39550?\n\"Answer: l**2 + 1271*l + 31888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 209?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 27*v - 42. What is the remainder when 144 is divided by m(-23)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*o + 14, -16 = 7*o - 3*o. Suppose 0 = t*n + 2 - 4. Let i(b) = 2*b**2. Give i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.295242004 to five dps.\nAnswer: -0.29524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2474*f**2 - 1783*f wrt f.\nAnswer: -4948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2201625 rounded to three dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2340233 (base 5) to base 4\nAnswer: -22202321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 = -4*o - 245, 3*o + 3*i = -183. Let p be ((-10)\/(-6))\/(5\/o). Let y = 81 - p. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 - 322*q - 5827. Determine j(99).\nAnswer: 1499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g - 2. Let f(v) = -v**3 + v**2 + v + 3. Give f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 286\/(-36) - -7 - (-3 - -2). Let i(k) be the third derivative of 0*k**3 + 0*k + 0 + 6*k**2 + 1\/90*k**5 - r*k**4. Find t such that i(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -21*n**2 + 7*n - 11. Determine r(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 7) + -5 - (6 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1568991, -1568986, -1568967, -1568928, -1568863, -1568766, -1568631, -1568452?\nAnswer: -1568223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5271 in 4\/7, 3, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*n + 5 = -250*n - b, 4*n - 4*b = -28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*c + 8, -5*x - c + 3 - 14 = 0. Let n be x\/19 - 18\/(-171). Suppose -3*p - 3*p + 366 = n. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.5224 millennia to centuries.\nAnswer: 35.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*z + 21 = 0, -4*a + 4*z = -3 - 1. Suppose -111 = a*y - 3*y. Is 2*1\/(-2)*y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82764.84ml to litres.\nAnswer: 82.76484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38067.96m to nanometers.\nAnswer: 38067960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -587*o**2 + 51*o - 770. Let v(s) = 196*s**2 - 18*s + 256. Let y(u) = -6*p(u) - 17*v(u). What is the derivative of y(d) wrt d?\nAnswer: 380*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, d: 4, z: 2, t: 1, a: 5}. What is prob of picking 1 c and 1 d?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) -1 (d) 0.08 (e) -3.88 (f) 1\/6 (g) -47\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/144 + 2822\/18. Let i = f - 625\/4. Which is the nearest to 0? (a) -1 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 716 and 130469878.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -15 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -48. Let l be (4 + 0)*(0 + -1). Sort a, 4, l in decreasing order.\nAnswer: a, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 7 + 6*l + l**2 - 2. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72642\/7 - -10377. Let j be -1 + (-2)\/(-4)*0. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -109*f**5\/30 + 16*f**4\/3 - 88*f**2 + 2*f. Find the second derivative of m(u) wrt u.\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 - -1 - (-6 - -15 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-8)*12\/(-70). Suppose 2*j - 8 = 4*w, -j - 4*j = 5*w + 10. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 107?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 - 1 - (50 + -37)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67358 is divided by 67244.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -351742 times 0.1?\nAnswer: -35174.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**2 + 10*h**2 + 5*h**2 to l + u*h + w*h**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.3904 to the nearest integer.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 79. Suppose -80 = -5*i + 5*a, 3*i - 3*a - s = 2*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {l: 6, m: 5, n: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g + 18. Let a be v(2). Suppose 22*h = a*h + 216. What is the highest common factor of h and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472056211?\nAnswer: 11, 617, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 - -750. What is the highest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.39925 weeks in milliseconds?\nAnswer: 17780666400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7410, 7468, 7622, 7920, 8410?\nAnswer: 9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-146)\/4380)\/((-55)\/(-44))\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 3*g. Solve g = -w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 132. Calculate the lowest common multiple of 16 and 6*3*(-5)\/i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16620 from 0.\nAnswer: -16620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 13*y - 2. Let l be g(-13). Let i be -2*158*(745 - l). Let s = 136052 + i. What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzjjcjzcjzzjzjzjjjjz. Give prob of sequence zzzj.\nAnswer: 77\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(4\/(-24)). Suppose -3*n + 96 = -r*z, 0 = -2*n + 3*z - 5*z + 68. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3005625.\nAnswer: 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.217042 rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -25.4?\nAnswer: 10.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-45)\/(-25))\/(106\/(-265)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/2*(-124)\/16. Solve -3*y = -2*o - 17, 4*o = 3*y - k + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1718761944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 3*i + 5. What is l(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2345, 4678, 6999, 9308?\n\"Answer: -6*j**2 + 2351*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + 1) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 948 - 939. Solve -7*j + p + 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/10 and 0 + (-53)\/22 - -1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005064 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -457 - -750. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19140 = 411*f - 244*f + 1434*f + 54506 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.2833358 and -2.\nAnswer: -7.2833358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-3*-5)**2*-5.\nAnswer: -14625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:58 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/19, 4, 0 in descending order.\nAnswer: 4, 20\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 9 = 3*h, -4*r + 3270 = 3*h + 3275 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19 and -55\/539808?\nAnswer: 539808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 67443, 133815, 200173, 266511, 332823?\n\"Answer: -w**3 - w**2 + 66382*w + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 8. Let u = -1 - 4. Let q be k(u). Let x = 62 + q. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8132051 is divided by 2468?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -288375 divided by 75\nAnswer: -3845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 3 + 3. Suppose 4*i + 7 - 3 = 4*l, -4*l + 12 = 0. Let f(s) = 4*s**2 - 4*s**2 - 2*s**i. What is g(f(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 1:58 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*k - 51 = 0, -5*k - 6 = -2*n - 0*k. Suppose -5*l - 4*f + 49 = 0, -3*f + 3 - 2 = l. What is the highest common factor of n and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*s + 1103 = -328 - 393 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m**3 - 6*m**2 - 6*m + 6. Let f(s) = -s**2 - s + 1. Let i(x) = 177*x + 171. Let b be i(-1). Determine b*f(g) + o(g).\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/603 and -29\/8.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x - 34. Let k be z(19). Let r = 242 + k. Suppose -295 = -4*p + r. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 251069*s - 251069*s - 1380*s**2 as w + v*s + z*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7108625 and 454952.\nAnswer: 56869000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -z + 521 + 174, 3*f + 2895 = 4*z. Suppose -o + 5*m = 4*o - z, -4*m - 141 = -o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12445.0351 rounded to the nearest ten?\nAnswer: 12450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 4*t**3 + 8*t**2 + 9*t - t - 4 + 3*t**3. Is q(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from rtttrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 38. Let p(g) = g**2 - g. Let a(k) be the third derivative of -k**5\/20 + 7*k**4\/24 - k**3\/3 + 5*k**2. Calculate l*a(b) + 5*p(b).\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let u(d) = -d**2 - d + 1. Let r(f) = -f**3 - 9*f**2 - 9*f - 4. Let l(i) = r(i) - 3*u(i). Give l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1664 and 11008.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 5) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t = -30*t. Solve t = -3*o + 2*k + 2, -3*k - 3 = 7*o - 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986.1269 micrograms in nanograms?\nAnswer: 986126.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 0.558 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92151 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-15)\/(c*c*c**(-20)*c)*(c**(-2\/5))**(-8\/13) assuming c is positive.\nAnswer: c**(146\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 7, m: 3}. Give prob of picking 2 v.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 - -5873.91.\nAnswer: 5873.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/120 + 11*y**5\/60 - 11*y**4\/24 + 4*y**3\/3 - 46*y**2. Suppose -4 = -f + 3. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-3)\/6)*-2. Let f(x) = -2*x. Let q be f(d). Suppose 5*i - c - 12 = 0, 6*c + q = 3*c. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxwaaxweehaweh. Give prob of picking 1 e, 2 x, and 1 w.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25136807?\nAnswer: 25136807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1a7?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3650?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/23 (b) -1\/5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*o**2 + 2 - 2 + 193*o**2.\nAnswer: 650*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - 6797824042.\nAnswer: -6797824001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 687514969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-83\nAnswer: -83.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151254, 604663, 1360220, 2417919, 3777754?\nAnswer: 5439719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.4 (b) -0.3 (c) -11.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 51. Calculate the highest common factor of 51 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28469555.\nAnswer: 5, 1237, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2304223592 from 5.\nAnswer: 3.7695776408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:28 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 + 24*q**3 + 4811*q**2 + 2663014*q + 2.\nAnswer: -12*q**2 + 144*q + 9622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 + -202. Solve 0 = j*o - 2*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o + 191*o = -264*o - 14274 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 4*m + 10. Suppose 35 = -m*q + 189. List the prime factors of q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6*c = -2*c + 11, 5*c = -3*w - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 4. Suppose 12*u + 13 - 3 = -2. Let t(y) = y. Calculate u*v(k) - t(k).\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12230 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 15*t + 13. Let g(n) = -4*n - 3. What is 26*g(i) + 6*p(i)?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7683*g + 7539*g - 7821*g.\nAnswer: 7401*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -432 - -508. Suppose 4*w = -4*l + l + 60, 29 = 2*l - w. What is the remainder when -3 + c + 7 - 3 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let w(c) = 400*c**2 - 5161*c. Give d(w(p)).\nAnswer: 400*p**2 - 5161*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25323, -50762, -76187, -101592, -126971, -152318, -177627?\nAnswer: -202892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 5*x - 19. Suppose -14 = 5*f - x. Solve 0 = f*b - 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 3*r + 1. Let u be x(2). Let f(v) = -v**3 + 4 - 6 - u*v + 2*v**3. Is f(3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/16)\/(177\/(-354)). Is 4 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3164150037?\nAnswer: 3, 18803, 56093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551385 = 2825*t + 2992*t + 27855 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 657549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 11*v + 4. Let l be s(-11). Suppose -l*a + 4*u + 84 = 0, -a + 9 = -5*u - 24. Let q = 23 - a. Calculate the remainder when 19 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4642000?\nAnswer: 2, 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21650188 and 270627350?\nAnswer: 541254700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q - 6*q + (5*q - 3*q - 4*q)*(1 - 4 + 0).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = 1. Let a be 64\/28 + 4\/(-14). Let i(g) = g**2 + 1 - 3 + g**a - 3*g. Determine i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 + -44.028. Let o = 38.19 - -6.11. Let f = r + o. Sort f, 4\/7, 0.1.\nAnswer: 0.1, f, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290815 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7356 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 32991.\nAnswer: -1\/10997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143\/28 - -34\/7. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*x = -8, 3 + 9 = -3*x. Suppose 9*v - d*v = 5205. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m + 32. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -877923 and -0.054.\nAnswer: 47407.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.26 less than 6263984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*v**2 + 66553*v*w + 2*w - 728275 with respect to v.\nAnswer: -18*v + 66553*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 6264?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -168*z**3 - 49*z**2 - 217*z - 49. Let t(w) = -7*w**3 - 2*w**2 - 9*w - 2. What is 49*t(k) - 2*v(k)?\nAnswer: -7*k**3 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 531, 1715, 2903, 4095, 5291?\n\"Answer: 2*d**2 + 1178*d - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 10*h - 4*h to m*h + d and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -561 (c) 1 (d) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 3*o**2 + 5*o - 5. Let q be k(4). Let l(c) = 12*c**3 + 3*c**3 - 7*c**2 - 33*c**3 + 8*c**2. What are the prime factors of l(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 682 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406586, 813173, 1219760, 1626347?\nAnswer: 2032934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:07 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 5, c: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22762 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*a**3*d + 5*a**3 + 2*a**2*d - a*d - 49 wrt a.\nAnswer: -126*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1239657 = -41*r + 3618436. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -44*o - 5. Let a be 4\/20*5 + 4. Suppose -a*p + 14 = -4*p. Calculate the remainder when w(-2) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - (-7)\/3. Let j = 20 + -5. Let c = 15.5 - j. What is the third biggest value in s, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 605, -1\/4, -3, 0.12, 2\/7, 4 in descending order.\nAnswer: 605, 4, 2\/7, 0.12, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 85*q**2 + 4*q - 3. Let l be y(1). Calculate the common denominator of 63\/212 and 525\/(-900)*l\/(-21).\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3925, -2, -0.03, -5, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-9))\/((-5)\/((-135)\/(-18)))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.4 (c) -154 (d) 5 (e) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4\/5 + 1062*n**3\/5 - 97092*n**2\/5 + 544968*n\/5 = 0.\nAnswer: 0, 6, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*-2.5\nAnswer: -0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512239604, 512239603, 512239602, 512239601, 512239600?\nAnswer: 512239599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -2*a + 96. Suppose -a = -3*g + 33. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 151, 593, 1285, 2191, 3275?\n\"Answer: -6*m**3 + 161*m**2 + m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 9, u: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3 - 6*k**2 + k**3 - 2*k**3 + 0*k**3 - 4*k. Suppose -5*c = 4*u + 29, -2*u - 26 = 5*c - u. Let d be i(c). Is -1 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*4\/(-168))\/(1 + 55\/(-70))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6037401 or 6037399?\nAnswer: 6037399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 201908? (a) -5 (b) 0.5 (c) 8\/9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3343 in 0, 3\/4, 1\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)\/v**0)\/(v**6*v*v**5))**1 assuming v is positive.\nAnswer: v**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, -14, -2, 11392 in ascending order.\nAnswer: -14, -9, -4, -2, 11392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-2\/9)\/(n**(-4\/3)*n**(-2\/3)) assuming n is positive.\nAnswer: n**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 479, 718?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -0.12664251.\nAnswer: -29.87335749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2000 + 2?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127032 to the power of 1\/2, to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 - 28*n\/5 - 8.\nAnswer: -4*(n + 2)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b. Let j be l(-1). Let g = -728371\/30 - -24284. Find the common denominator of g and 1*(-134)\/j - 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5 + 1 + 1 + sqrt(684))*2)**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*x - 86*x - 25 - 24*x**2 + 10 in the form o*x**2 + r*x + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12351204 to the nearest integer?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 35*x**2 - 3*x. Let o be i(-3). Let b be (-33)\/(-22)*9*-2*-1. Suppose 30*k = b*k + o. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**4\/3 + 18*m**3 - 3*m**2 + 7. Is z(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(-4)\/40*(-45)\/6. Find the common denominator of o*(-1 + (-16)\/(-36)) and 29\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -13. Suppose 5*x - 170 = -4*t, 8511*x + 22 = 8513*x - 3*t. Is x equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*t**3 - 28*t**2 - 5*t.\nAnswer: -t*(2*t + 1)*(18*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/4400 and 101\/4.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1 + sqrt(114))*4 + (sqrt(114) - (sqrt(114) - -4*sqrt(114)*1)))\/(1*sqrt(150)*-2).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 6.7 (b) 56 (c) 3 (d) 0 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4975668 and 7776.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**3 + 31*j**2 - 6*j + 85. Let h(v) = 5*v**3 + 31*v**2 - 3*v + 86. Let t(n) = 4*h(n) - 3*k(n). What is the hundreds digit of t(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 - 299 = 52*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/6 - 11*r**2\/2 - 8*r. Let f(p) = 3 + 8 - 5*p + 4*p. Let q(i) = 5*f(i) + 4*o(i). Determine q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 2*p - 2. Suppose 2*y = 4*s + 10, 2*y + 4 = s + 11. Calculate i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-2)\/(-4))*-58. Suppose -14*i - 9620 = -i. Let q be ((-2)\/3)\/(i\/(-186) - 4). Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 25*w - 197. Let o be l(8). Suppose -z + 15 = 5*n + 1, 3*z - 30 = -o*n. Solve 28*i - z = 25*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.958\nAnswer: -0.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.086960458 to four dps.\nAnswer: -3.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - 2*y**2 + 2*y**2)*(2 - 2 - y - 2*y - y + y + (y + 0*y + 0*y)*(-1 + 4 - 2)).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**3 - 2*f**2 - 3*f - 1. Let y be j(-1). Sort -3, -2, y in increasing order.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 12 = 4*f - 3*f, -4*f = -4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88205.33786 rounded to the nearest 1000?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(18\/20)*-3. What is the units digit of (-398)\/s + 7\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263 - 279. Let a = 16 + c. Solve -7*w + 12*w + 15 = a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200.5480053 - -200.537. Let s = f - -0.011. Round s to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 2 + (303 - 288)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -363338 and 2019?\nAnswer: -733579422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 0.0331456\nAnswer: 0.7954944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3012 + -1?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -2, -0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = -3*h + 11, h = -4*o + 18. Suppose o*i - 2*b - 64 = 0, b + 5 + 9 = i. Let l = 116 - 20. What is the highest common divisor of i and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -3, 8, 25, 48, 77, 112?\n\"Answer: 3*q**2 - 4*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 11 = m - t, 3*t = -2*m - 10. Let s = m - -7. Let g be (-5)\/33 + (0 - 2\/11). Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 14.93. Let h = -0.0700006 + l. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 17*z**2 - 3*z + 33 + 2*z**2. Let s(k) = 17*k**2 - 2*k + 32. Let y(l) = -2*h(l) + 3*s(l). What is the first derivative of y(i) wrt i?\nAnswer: 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3\/4 + 3131535*y**2 + 125261025*y\/4 + 156576125\/2 = 0. What is y?\nAnswer: -2505218, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksstkqtjkkzjskttq. Give prob of sequence qt.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 25*t**2 + 3*t + 19. Calculate b(-25).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 2)\/(6\/9). Solve -20 = -h*m + 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -34. Let p(a) = a**3 - 24*a**2 + 25*a - 14. Let c be p(j). Do 32 and c have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66971, -66983, -67007, -67049, -67115, -67211, -67343, -67517?\nAnswer: -67739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 40 = -0*s + 5*s, 2*s + 19 = 5*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 5*h + 25. What is the tens digit of d(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102946 rounded to the nearest one hundred?\nAnswer: -102900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 13*n + 136 = 3*p, 0 = 4*n + 20. What is the remainder when 205 is divided by p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 143, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -174. Let z = 69.26 - f. Put 2, z, 1 in increasing order.\nAnswer: z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108792833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 - 50 = 4*x. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3712 and -21\/7555544.\nAnswer: 120888704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117) + (2*sqrt(156))\/sqrt(12) + -4)**2*3.\nAnswer: -180*sqrt(13) + 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3267) + sqrt(27))\/(2*sqrt(9)*-3).\nAnswer: -17*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -1 + -1 + (0 - 3). Solve c - 9 = 5*k + 4*c, -3*k - c - t = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:39 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94049349 to the nearest integer?\nAnswer: 9698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. What is d(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7241378.5+-839\nAnswer: 7240539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-496)\/42 + 12)*6\/(-4)*1. What is the fourth biggest value in 12, 4\/9, -2\/29, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 524*n - 72. What is h(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 + 3*f - 4. Let p be r(-4). Solve p = -0*v - v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 2*p, -3*w - 11*p = -13*p - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -119. What is the remainder when 10 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5313 is divided by 701?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/4)\/3)\/(-18)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27121379 and -1191050.7?\nAnswer: 25930328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 8*t. Solve 3 = -t*i - 3*i, s - 2*i - 5 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -496, -1104, -1728, -2374, -3048, -3756, -4504?\n\"Answer: -h**3 - 2*h**2 - 595*h + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 13)*(-3*d - 1 + d + 4*d).\nAnswer: 12*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 420 + -420. Sort l, -0.3, -2, 63 in ascending order.\nAnswer: -2, -0.3, l, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.30084 + -34.15. What is j rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*h - 5*h + 9357, -5*j - 3*h + 11693 = 0. List the prime factors of j.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 12*g**2 - 3*g + 8. What are the prime factors of d(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 1486*a - 14971. What is n(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 9*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12.0022. Round a to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose b = -4*s - 0*s + 20. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2245399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 494626 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 + 4*w. Let g(i) be the second derivative of i**5\/4 + i**3\/2 - 376*i + 9. Let h(v) = v - 11. Let f be h(6). Calculate f*g(y) + 4*j(y).\nAnswer: -y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1067, 2223, 3363, 4481, 5571, 6627?\n\"Answer: -k**3 - 2*k**2 + 1169*k - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1944*d**3*m**3 + 4*d**3*m**2*o - 259*d**3*m**2 - d*m**3*o - m**2*o wrt m.\nAnswer: -11664*d**3 - 6*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*m + 25 = m, 5*m = -4*z + 19. Suppose 9*g - 189 = z*g. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 599 - 624.28. Let w = -25 - l. Is w at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*i - 36, -21*v = -12*v + i + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9792458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 121324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19634.5 - -19635. Let x = -228.7 - -215. What is the third biggest value in u, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191574869?\nAnswer: 283, 676943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + 0.14. Which is the smallest value? (a) s (b) 2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*o - 12285 = -139*o - 5*u, 0 = o - 4*u - 2452. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228721 is divided by 672?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597493 a multiple of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 6980*d = -6953*d - 203, 0 = 4*y + 4*d - 180 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1 + 2 - z - 6 + 0*z. Suppose -5*o = -0*y + 5*y + 5, -5*y + 4*o + 4 = 0. Suppose y = 4*f - 1 - 7. Let a(b) = -3. What is f*k(j) - 3*a(j)?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 0*c - 3*c. Let j = -2 + 4. Let r(o) = -o + j*o - 4 + 4. Determine u(r(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 53, 3.\nAnswer: -225, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53313197 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 19*s**2 - 20*s + 39. Calculate the remainder when 17 is divided by j(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {l: 4, y: 8, q: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 114120022 (base 6) in base 15?\nAnswer: 2c8ea8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - t + 1 = -r, 5*r + t - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 367 divide 4605814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 13*d**2 - 14*d + 31. Suppose 0 = -17*z + 181 - 28. What is the units digit of o(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 - 905*s + 589. Determine z(150).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -349, 3, 4 in descending order.\nAnswer: 4, 3, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = m - 703, 0 = 2*m - 11 - 3. Does o = -699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 32400000 = -4*h. Round h to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 2, r: 6, z: 2, u: 1}. What is prob of sequence uzzr?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + -6 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b - 9. Let a(m) = -8*m + 6. Let c(l) = -8*a(l) - 5*f(l). Let z be 1 - 0 - (-6 + 5). Give c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/sqrt(160))\/(4*(sqrt(6) - sqrt(24)))*4.\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14535 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**7\/840 + f**6\/24 - 13*f**5\/40 - 55*f**4\/24 - 121*f**3\/24 + f**2 - 14*f. Factor c(z).\nAnswer: -(z - 11)**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*-358173.\nAnswer: -30444705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h + 220 = 23*h + 29*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 9*z**2 - 18*z + 1. What is w(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -4. Suppose 821 = 15*x + 866. Let l = -2.4 - -0.4. Which is the second smallest value? (a) l (b) x (c) 0 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (19 + -24 + -14 + -1 + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 3*o - 21, -95 = q + o - 105 + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173910967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Let r(s) be the first derivative of 0*s**5 + 2 + 0*s**3 + g*s**4 - 1\/2*s**2 + 1\/6*s**6 + 0*s. Find the second derivative of r(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23820 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*k**4 - 5073*k**3 + 470*k**2 + 269937773 wrt k?\nAnswer: -56*k**3 - 15219*k**2 + 940*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 56 + 46. Put g, 106, -4 in decreasing order.\nAnswer: 106, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 6:17 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z + 2. Calculate y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n = 56*n - 157845. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-7))\/((-2193)\/(-238) - 9). Solve n*a = -17 + 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34056*z + 10139*z + 13712*z + 10204*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.811095 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.038 + -26.962. Let q = s - -45. Let o = -17.9993 + q. Round o to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -6768?\nAnswer: -6768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {y: 3, j: 11}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 11. Suppose 3*b - 355 = -i, b - i = 3*i + 140. Let q be (-6)\/b + (-18)\/(-60). What is the third biggest value in 3, q, -0.6, w?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(42\/8)*7. Let m = -7075\/2 - -3439. Let l = m - -102. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Suppose -7*u + t*u = -3*s + 12, 5*s - 28 = -u. Factor 4*l**3 - 3*l**5 + l**5 - 2*l**u.\nAnswer: -2*l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 102. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-43123)\/8922)\/((-2)\/(-12))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121) + 1*sqrt(121))))*3)\/(sqrt(33)\/sqrt(48))*-6)**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/((-180)\/2160*12\/(-1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 10*k**2 + 16*k + 165. Let n be f(-10). Solve n*p = 21*p - 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8402576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 10*r**2 + r + 9. Let v be z(10). Let k = v + -4. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29006438471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6245664 - 1?\nAnswer: -6245665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 10*n - n + (-22 + 6 - 4*n + 1)*(4 + 3 - 4) as l + j*n and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.002 - 0.228. Let r = -0.33 - v. Which is the third smallest value? (a) -1 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 2824?\nAnswer: -2825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19086 in -0.01, -0.2, 5, 1\/7, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 - -207. Let r be ((-135)\/(-24))\/z*(-4)\/(-6). Put r, -0.4, -0.16 in decreasing order.\nAnswer: -0.16, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - k = -30, 7*g + 3*k = 8*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(126))\/sqrt(6))\/(sqrt(27)\/(sqrt(9)*-3)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 8*h - 14. Suppose -69*a + 68*a - 2*t + 4 = 0, 0 = -4*t - 4. What is s(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*d**3*z - 2*d**2*z**2 + 407*d**2 - 101*d*z + d - 3*z**2 + 53 wrt d.\nAnswer: 96*d*z - 4*z**2 + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 8 = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1182393230 by 2.\nAnswer: -591196615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 b when three letters picked without replacement from geebgegegggbge.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*v + 5744 + 3194 - 1077 = -4499 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -35*x + n - 96, 0 = -4*n - 16. Let i = -9 - x. What is the highest common factor of i and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -12, -18?\n\"Answer: -6*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -n - 4*n. Put 4, 3, n in ascending order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.105 and 0.081978.\nAnswer: -0.023022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -173.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 13*t = 1512. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*d**4 + 4*d**4 - 4*d**4 - 4*d - d**4 + 4*d + (d**2 - d**2 + 2*d**3)*(-3*d + d + 3*d) to the form u + j*d**3 + m*d**4 + n*d + r*d**2 and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8316097766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104198923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**6*w - 445*p**5*w + p**2 - 35292*w wrt p.\nAnswer: 480*p**3*w - 26700*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 5*v**2)*(3 - 2 + 1)*(-1 + 1 + 2).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 6*l**2 + 2*l**2)*(4*l**2 + 6*l - 6*l) + (0 + 0 + 2*l**2)*(7 - 1 + 2)*(-l**2 - 3*l**2 + 3*l**2).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 14*z**2 - 32*z - 2. What are the prime factors of s(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238, -16, 47, -4, -3 in decreasing order.\nAnswer: 238, 47, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 734*i - 7493 - 30675 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.25\nAnswer: -0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 16. Let z = -1816 + 845. Let m = z + 980. Give r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*g - 7. Let s = 10 - g. Let h(c) = 2*c + 4 - 3*c - s. Determine h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 623573, 2494300, 5612179, 9977210, 15589393?\nAnswer: 22448728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 - 2)*(1 - b - 1) - 4*b + b + 5*b + (1 + 0 - 2)*(3*b + 2*b - 6*b))*(0 - 4 + 0) + (1 - 1 + 2*b)*(-1 - 4 + 4).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 7. Let p(j) = 3*j - 12. Let g be p(8). What is the units digit of a(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) + 20\/(-9). Let m be (0\/(2\/(-2)))\/l. Find the second derivative of -w - 8*w + m*w**3 + 11*w**3 + 8*w wrt w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -3405597.\nAnswer: 681119.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6861 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 363 + 36. Let c be 2\/4 - (-51)\/(-6)*-1. What is the first derivative of 399*p**2 - c - u*p**2 + p**3 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/2 - 9. Factor q(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*u**2 + 1 - 1)*(-5*u + 0 + 0) - u**2 - 2*u + u**3 + u**2)*(-1 + 1 - 1) as t + m*u**2 + b*u + q*u**3 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12655 = -5*s, s + 4*i - 10092 = -3*s. What is the greatest common factor of 224 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2108098*d + 2958385?\nAnswer: 2108098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25374804 divided by 3669.\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18094085 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 4, 1, 0, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002282477 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 41*y - 240. Let q be j(17). Is 457 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.2297+-1790235\nAnswer: -1790376.2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 18187 - 17755 = 0 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -21)*(-8)\/16 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p - 3 - 3\/2*p**2. Give j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*j**3*p*s**2 + 2*j**3*p - 9*j**3*s**3 - 5*j**3*s + j*p*s + 2*j*p + 10*p*s wrt s.\nAnswer: 630*j**3*p - 54*j**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11314 - -200?\nAnswer: 12014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/7 - 430*d**2\/7 + 3614*d\/7 + 347778 = 0.\nAnswer: -63, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3461819942?\nAnswer: 2, 7, 83, 2979191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 53*d**3 - 1298*d**2 + 5040*d.\nAnswer: d*(d - 14)*(d - 5)*(d + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/63)\/(((j\/(j*j\/(((j**(-25)*j)\/j)\/j)))\/j)\/j))\/(j\/j**3)**(-45) assuming j is positive.\nAnswer: j**(-3841\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220 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: Let b = 9 + 451. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(4*s - 13*s - 14*s) + (4 + 3 - 6)*(2 - 2 - s) + s + 7*s + s.\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*u - 1502497 = 282*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11407, -22689, -33857, -44917, -55875, -66737, -77509, -88197?\n\"Answer: -v**3 + 63*v**2 - 11464*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*o + 20*o - 29 + 29.\nAnswer: 237*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 527*j + 639*j + 257*j + 729*j to the form n + y*j and give y.\nAnswer: 2152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -9ae5?\nAnswer: 9ae7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*c - 4*w, 38 = 2*c + c + 2*w. Suppose z - 3*g + c = 0, 0 = g - 0*g - 4. Sort z, 1, 0.1 in ascending order.\nAnswer: z, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 1620 - 245. Let i = w + -2609\/7. What is the third biggest value in i, 3, 4\/5, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(120) + sqrt(120) + sqrt(120)))\/(sqrt(150)*-3))**2*-2.\nAnswer: -128\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 2055*g - 538. Let h(l) = 2*l**2 + 2056*l + 672. Calculate 4*h(u) + 5*q(u).\nAnswer: -2*u**2 - 2051*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10593, -10592, -10591?\nAnswer: -10590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**8\/14112 + 17*a**7\/17640 - a**6\/420 + 2*a**5\/15 - 9*a**2. Let j(w) be the third derivative of u(w). Solve j(r) = 0 for r.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6534112 and -1\/1248.\nAnswer: 19602336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/(k\/(k**7\/k))))**(-37) assuming k is positive.\nAnswer: k**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-324)\/(-189))\/(4\/14). Let d be 28\/(-70) - 264\/(-10). Let n = d - 25. Solve -5*k + n - g = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 3184*i**6\/15 + 3547*i**3\/6 + 220*i - 7. Find the second derivative of h(b) wrt b.\nAnswer: 76416*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9444 greater than 9444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 133 + 47)*(1 + 3*f**2 - 1)*(0 + 0 - f).\nAnswer: -501*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 208762273 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + w + 156 - 31 = 0, 3*j = 4*w + 373. Let t = j - 131. What is the nearest to 1\/3 in -1, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332117066 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 30 + -3 + -48?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -125*g**3 - 1102*g**2 + 1057599 wrt g?\nAnswer: -375*g**2 - 2204*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 2.8. Let p = q + 1.15. Let b = -884\/2679 - 3\/893. What is the fourth smallest value in b, 0.3, p, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = -4*f, 4*k - 9 = -4*f - 21. Let u = -2 + k. Suppose -2*d - 1 = -7*m, -3 = 2*d - 9. Sort -3, u, m in decreasing order.\nAnswer: m, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23182157 rounded to four dps?\nAnswer: 0.2318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -2*y. Suppose -12 - y = 5*l, -2*a - 5*l = -431. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41320316, 5, -1\/4?\nAnswer: -41320316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(((x**(-19)\/x)\/x)\/x)\/x*x**4)**(5\/8) assuming x is positive.\nAnswer: x**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -0.3, -259, 1.38?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 7*b**4\/2 - 3*b**3 + 35*b**2. What is the hundreds digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001101100100101 (base 2) in base 15?\nAnswer: -16725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/(2\/(-6)). Let d(f) = -f**3 + 5*f**2 + 5*f + 2. Let x be d(6). Let j be (2 + w)*(x + 5). Let p(h) = h**2. Give p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/51 - 535\/136. Let n = 115139\/21 - 5484. Calculate the common denominator of s and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 - 62. Suppose 7*n - k = 2*n. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*4\/2. Let z(h) = 3*h**2 + 11. Let w = -14410 + 14406. Let y(j) = j**2 + 1. Calculate b*z(f) + w*y(f).\nAnswer: -f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Let f be (-2)\/1 - (d + 4). Put 2\/15, 2, f in descending order.\nAnswer: 2, 2\/15, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 123?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 222 = -37 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 179*p - 276. Calculate b(-176).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 334439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154896780?\nAnswer: 2, 3, 5, 2581613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/6 - 196*s\/3 = 0. What is s?\nAnswer: -392, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 2*w**2 + 2*w + 8. Let q be d(-6). Let n = 10946986\/74109 + -4\/10587. Let i = q + n. Is i bigger than -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/6 + 764*g**4\/3 - 1529*g**3\/6 = 0. Calculate g.\nAnswer: -1529, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 190 = 0. Suppose -12 - g = -c. What is the highest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 21.89. Let y = -3603.5 + 3603. What is the second smallest value in y, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19975 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 -c + 6536 = -5*c - 2*t, 4*c + 3*t = -6540. Let i = c - -4816\/3. Let o = i + 391\/15. What is the smallest value in -1\/2, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o - 36. Solve -o*g + 12 = -15*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 + c. Let s be f(-1). Suppose 0*j - 3352 = s*j. Let o = 278 + j. What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 247? (a) -0.2 (b) 0.3 (c) 717 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let u = -54 + -42. Let l = u - -96.09. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 19. Let a be k(-8). Let r = -41 - a. Let h be -1 - 5\/(-15) - r\/(-3). Solve h = -3*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3037, 2984, 2933, 2884, 2837?\n\"Answer: r**2 - 56*r + 3092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -659389.9 and 999105.\nAnswer: 339715.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(1\/69)\/(((l\/(l\/l**(-6)))\/l)\/((l**(2\/5)*l)\/l)) assuming l is positive.\nAnswer: l**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8)*1*44. Let f = 40 - n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:37 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4831840980.\nAnswer: 2, 3, 5, 17, 19, 41, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1332*t**5 + 3*t**4 + 2*t**2 + 11.\nAnswer: -79920*t**2 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 33 (b) -2\/11 (c) 24 (d) 2\/13 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7536170 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/((-473)\/(-10)))\/(4\/11)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 11.5. Let g = -77 + p. What is the nearest to 1\/3 in 0, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143.74 - -85.\nAnswer: 228.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-138)*57\/114*(-9 + 3)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -2511, -1, -9, 4 in descending order.\nAnswer: 5, 4, -1, -9, -11, -2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88b38 - -4?\nAnswer: 88b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b - 20 = -5*k, -b - 16 = -4*k. Suppose -5*g = -k*g - 12. What is the lowest common multiple of (-44)\/(6\/((-9)\/3)) and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21510970003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 5*p**3\/6 - 2*p + 4. Let j(h) = h. Determine q(j(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*n + 15*n + 11*n**2 + n**2 - n**2 + n**2 + (7*n - 2*n - 3*n)*(0 + 2*n + 0) - n + n + 2*n**2 as v + z*n + b*n**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1153a3 + 129?\nAnswer: 115510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 112672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from wzzziwgzigzzgzggzzi.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**2 - 3*y**2 + 27 + 2*y**2 - 8*y**2 as f*y + j*y**2 + d and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:54 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 3*v - 1. Let y(u) = u**2 - u + 1. Let f(z) = -2*o(z) - 5*y(z). Give f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/24 + m**5\/30 + m**4\/12 - 5*m**3\/6 - 3*m**2. Is t(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1680*-56.9\nAnswer: -95592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 12 + 8*a - 3*a**2 + 4*a**2 + 3. Let o be z(6). Solve -o*r = 6 + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9)\/(-6) - 1\/(8\/(-108)) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from {t: 5, k: 13}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 12, 0 = 3*w - 4*j - 10 - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2014*o**2 + 1005*o**2 + 1008*o**2. Let v(q) = 144*q**2. What is v(z(c))?\nAnswer: 144*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2044 divided by -7.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -393 + 49.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - d**3 + d**3)*(0 + 0 - 1)*(-2*d + 1 + 4*d + 0).\nAnswer: 2*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 36 + 157)*(-4*d**4 - 6*d**3 + 6*d**3) as m*d**2 + n*d**4 + b*d**3 + v + w*d and give n.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (67 - -29980)\/(4\/2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3231 (base 4) to base 2\nAnswer: -11101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/7 - 5456*a**3\/7 + 3464634*a**2\/7 + 353653364*a\/7 + 2604688672\/7 = 0.\nAnswer: -82, -8, 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -210, -369, -502, -597, -642, -625, -534, -357?\n\"Answer: 2*b**3 + b**2 - 176*b - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69083 and 71?\nAnswer: 69083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 8*b**2 + 13*b - 6. Let g be u(9). What is the second derivative of -27*m**5 - g*m**5 + 28*m + 56*m**5 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 2*v + 4. Suppose 0 = 2*o - 5*u - 62, 4*u = o + 5*u - 38. Suppose -o*q = -25*q + 33. Calculate w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -22*w**2 - 341. Let a(y) = 110*y**2 + 1706. Let q(g) = -3*a(g) - 14*v(g). Differentiate q(b) wrt b.\nAnswer: -44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -16. Let s(m) be the first derivative of m**2\/2 + 22*m + 3. What is the least common multiple of s(-11) and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 3*t + 3. Let g be -2 - (3\/1 + -1). Let b(o) = 6*o**2 + 16*o - 16. What is g*b(w) - 22*r(w)?\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - r - 19 = -4*r, 5*r = -3*l + 13. Let v = -10 + 10.6. Which is the second biggest value? (a) l (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 692.1*-35.2\nAnswer: -24361.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 82?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -219 - 16. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5061, 5151, 5241, 5331, 5421?\nAnswer: 5511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1)\/(24\/144). Solve g - 20 = u*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 26 - 7 = -i, -127 = -5*k - 3*i. Calculate the remainder when 43 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 211984640 by -6608.\nAnswer: -32080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785 is divided by 556.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2962 + -2933. Suppose 2*w + 92 = h, -7*h - 4*w + 404 = -2*h. What is the remainder when h is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 2. Let c(m) = -2*m + 2. Let d(l) = 3*c(l) - 4*j(l). Let s be d(3). Find the second derivative of 10*q**4 - 14*q + 2*q**4 + 12*q + q**s wrt q.\nAnswer: 156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361 - -1751. 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 the second smallest value in 3\/8, 0.03532, -101, 2\/11?\nAnswer: 0.03532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - 136. Let a be -15*(-6)\/z*(28 - 30). Calculate the highest common factor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000196782 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542f (base 16) to base 2.\nAnswer: 101010000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24316 to three decimal places.\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0 + 1\/2*z**4 - 38*z**2 - 3\/2*z**3 + 1\/30*z**5 - 1\/210*z**7 + 0*z - 1\/30*z**6. Determine w, given that h(w) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 + 24 = 5*x. Let l = x - -52. Round l to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 15*v**2 + 15*v + 21. Let k be j(16). Let o be (-95)\/(-35) + 6\/21. Sort -0.4, -0.5, k, o.\nAnswer: -0.5, -0.4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3760 (base 12) to base 11.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9578 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 38510865.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(108)*1)**2 + -5 + (sqrt(27) + -3)**2.\nAnswer: -18*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 57\nAnswer: 41\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6.1956 (b) -12\/7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-33 + 19) - 20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 9*c + 13. What is the remainder when 67 is divided by f(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -2 (c) 0.1 (d) -135 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 68 + 15*o - 225 + 68 + 4*o**2 + 70. What are the prime factors of d(11)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k - 13*k**2 + 30*k**2)*(0*k**3 + 4*k**3 - 5*k**3).\nAnswer: -17*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*v - 15*v + 11*v in the form g + s*v and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 11980991.\nAnswer: -23\/11980991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/5863 - 578639\/20825376. Find the common denominator of x and -101\/222.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10748453.\nAnswer: 53, 139, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 v when three letters picked without replacement from yoyoovjyooy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*a + o, 4 = 13*a - 17*a + 4*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*v - 39*v - 44*v - 37*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**3 - 260*p**2 - 896*p - 5. What is x(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -24116*c. Let k(d) = 16*d**2 + 1. Give k(j(b)).\nAnswer: 9305303296*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 7. Let x be h(6). Let l = -14363\/1330 + 206\/19. Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2184427, -3 in increasing order.\nAnswer: -2184427, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 80637.52 seconds?\nAnswer: 80637520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -52. Solve -4*q = 4, -2*d + 6 = -t*q + 4*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/104*(-5 + 1))\/17. Let y = 182 - 551\/3. What is the second smallest value in -0.2, -3, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(85\/(-107355)). Let w = q - 418. Solve -2*f - 20 = w*f, -s + f = -4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 23*s - 27. Let m(n) = 2*n**2 - 24*n - 28. Let z(q) = -4*c(q) + 3*m(q). Is 7 a factor of z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -19*i + 60*i - 12*i - 20 + 24 - 22*i. Let q be 0 + -2 + 1\/(-1). Let b(r) = 8*r + 5. What is q*b(h) + 4*t(h)?\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4948, 4950, 4952, 4954, 4956, 4958?\n\"Answer: 2*v + 4946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = 23. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + 4 + (-6*((5*(sqrt(396) + sqrt(396)*1 + sqrt(396)) - sqrt(396)) + -4 + 3))**2.\nAnswer: -6048*sqrt(11) + 2794215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {i: 1, f: 2, u: 3, v: 1, c: 9, z: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55742725 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314\/47 + 10687\/1269. What is the common denominator of (1\/(-36))\/(2\/(-116)) and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011101010001110 (base 2) in base 9?\nAnswer: -242321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 2*l - 10, 5*l = s + 34 - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 + 300 = -4*z, 4*b - 1141 = 17*z. What is the remainder when 930 is divided by b?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2416 + 2422. Calculate the highest common divisor of 66 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 595\/(-15) + 2\/3. Let n = -116\/3 - q. Let j(i) = -i**2 + 5*i + 5. Let v be j(6). Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 143 + 1008 - 6*c**2 + 6*c**2 + 3*c**2 - 206.\nAnswer: 3*c**2 + 2*c + 945","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 7*y**2 + 5*y - 5. Let o(t) be the third derivative of 1\/2*t**3 - 1\/30*t**6 - 1\/15*t**5 + 4*t**2 - 1\/8*t**4 + 0 + 0*t. Give 5*o(x) + 3*p(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, u: 2}. Give prob of sequence vuvu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 - 6483*y + 12*y**2 - 5*y**2 + 6490*y - 8*y**2 as p + z*y**3 + i*y + g*y**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54241*q**3*v**2*w + 4*q**3*v*w**3 + q**2*v**2*w**3 + 25047*q**2*v*w**3 + 2*q**2*w - 2*v**2*w**3 - v**2*w**2 + 2*w**3 wrt q?\nAnswer: -325446*v**2*w + 24*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = 16. Let s(x) = x**3 + 8*x**2 + x + 11. Let t be s(f). Suppose 28 = l - 3*v, 5*l - t*v - 92 = 24. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4234 + 4234 + 138*k in the form z + d*k and give d.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 1 a when three letters picked without replacement from cpvfa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p + 24. Determine j(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -0.4 (b) 146 (c) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 0. Let q(n) = -n - 5. Let v be q(-7). Suppose v*u - 16 = -0*y - 5*y, -y + 5*u - 13 = f. Calculate the highest common factor of y and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1749 times -26\nAnswer: 45474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*l + 30, 4*l = 3*i + 1 + 4. Factor -5*o + 3*o + i*o**2 + 8*o.\nAnswer: o*(5*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 3*q**2 - 6*q - 258. Let u(h) = -2*h - 13 + 13. Determine u(p(z)).\nAnswer: -12*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 17.8\nAnswer: 1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2373, 5, 62005 in increasing order.\nAnswer: 5, 2373, 62005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31784521 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 1. Calculate t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-4)*(80\/24)\/10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, l: 1, v: 4}. What is prob of sequence lrv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 11) in base 8?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -722*s**4 + 3048*s**4 - 845*s**4 + 0*s**4 - 3*s**4 - 5*s**4 + (3*s**4 - 2*s**4 - 2*s**4)*(0 + 2 - 1) as f*s**4 + r + l*s**3 + j*s**2 + n*s and give f.\nAnswer: 1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -8) + (-2 - -2). Let b be (s\/18)\/(2\/(-148)). Let z = -33 - b. Solve -z*r = -9*r - 3*a - 29, 4*r + a = -19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*h + 184, -3*c = -0*c + 4*h - 139. Suppose 0 = -0*v - 2*v - 10, -x + 4*v + c = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 83*n + 1575. Does 4 divide p(-78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28640 - 10653. List the prime factors of l.\nAnswer: 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*z - 45, -2*l - z = -0 - 17. Suppose h = -4*p - 4 - l, -3*h = 3*p + 21. Is h > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -37. Let g be 84\/z*220\/(-6). What is the highest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090525 is divided by 43984?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:23 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.611518021 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001362 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(102)\/(sqrt(30)\/sqrt(5)))**2*1.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 2*n + 2862*n**2 + 290*n**2 - 495*n**2 as h + q*n**2 + x*n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 705 or 670?\nAnswer: 705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 2*w - 3*w - 7665 + 309*w + 3828 + 3836 + (-3 + 0 + 1)*(2*w - 4*w + w) + 2 - 3*w + 4*w + w as b*w + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3166*a + 26*a**2 - 58*a**2 - 3166*a - 165*a**2.\nAnswer: -197*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8390 = -8*w - 2*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + k. Let s(t) = 5*t**2 + t. Let a(j) = -5*q(j) + 3*s(j). Let z(l) = l**2. Give z(a(r)).\nAnswer: 25*r**4 - 20*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(114) + (sqrt(114) - 1*sqrt(114)*-6))\/((sqrt(120)\/sqrt(4))\/sqrt(5)).\nAnswer: -5 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -130*b**2 + 1772*b - 3752. Give g(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-49)\/(-2))*(-18 + 4). Solve t*r = -3*p + p - 26, -r = 2*p + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Suppose -6*t = z*y - 4*t - 106, 4*t = 2*y - 38. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 675 - 627. Calculate the lowest common multiple of 8 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 373 - 2*j - 369 as z + y*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/7 + (-3)\/7. Solve n = w + 5*z, -5*w + 0*z + 29 = 2*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168275510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:28 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 0.9. Let q = -0.4 - s. Which is the closest to -1? (a) -4 (b) q (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -50. Let f(r) be the third derivative of r**4\/24 - 2*r**2. Determine f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-2 + (-13 - 1)). Let k = o - 8. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30364 divided by 9\nAnswer: 30364\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -88, -4?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/9)\/j)\/j**1)\/(j**(-5\/2)\/(((j\/((j*j\/(j\/j**(2\/13)))\/j))\/j)\/j)))\/((j\/j**1)**34*(j\/((j**(-4\/3)\/j*j)\/j))\/(j\/(j**7\/j))) assuming j is positive.\nAnswer: j**(-2077\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086431684.\nAnswer: 2, 3, 827, 210241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3210*l + 19931 - 19931.\nAnswer: 3210*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(0\/3)\/3. Suppose w*l - 3 = -3*l. Let s be l + -1 + 6 - -1. Calculate the greatest common divisor of 49 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xvuuxxxuxu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21 + (34425\/(-36))\/(-45). Is 261\/7 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94838873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*y**4 - 29*y**2 + 35 + 33 + 30*y**2 wrt y?\nAnswer: -936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*x - 142. Suppose 6*q - 8 = x. Solve 0 = -3*d - 5*t, 10*t = d + q*t - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/21 - -2\/3. What is the closest to j in -5\/2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1842466, 1842506, 1842546, 1842586, 1842626?\nAnswer: 1842666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 7:15 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7832 + -9023?\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 5*b**2 - 6. Suppose -222*p - 537 = -401*p. Give n(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 53*s - 3. Give h(7).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220 - 5?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5.8373 * -0.12\nAnswer: -0.700476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2440031533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-835)\/501)\/(20\/(-18) - -1). Solve 22 = -3*u - 2*m, -11*u + m - v = -6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16985605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.246\nAnswer: -0.0984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 13*x + 5. Let g be (-12)\/10 - 3782\/(-610). Let m(a) = -4*a**2 + 9*a - 3. Determine g*c(n) + 8*m(n).\nAnswer: -2*n**2 + 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, 11, 35, 63, 95?\n\"Answer: 2*o**2 + 14*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/84 + 1 + (-10008)\/3892)\/(335\/12)?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 + 78*m**2\/5 + 1002*m\/5 - 1078\/5.\nAnswer: -2*(m - 49)*(m - 1)*(m + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -4, 25, 52 in descending order.\nAnswer: 52, 25, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1*5*(-1)\/(-30)*722\/(-38)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.7489ml in litres?\nAnswer: 0.8877489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*4\/3. Let a = 4.6 + -5. Let z = a - -0.6. What is the nearest to t in -0.1, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2390 + 2385 - 724*u - 4776 + 184*u.\nAnswer: -540*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -33 (c) -5\/4 (d) 1 (e) -3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 5918186532726 - 5918186532726.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 404 and 1962996.\nAnswer: 198262596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1239478*p**4 - 22533583*p**2.\nAnswer: -29747472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12052 + 4?\nAnswer: -12046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 1.2, -2\/9, -2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 5*w**2 - 7*w + 4. Suppose 0 = 3*s + 7 - 19. Suppose -s*i + 2*v + 10 = -14, 3*i + 2*v = 4. Give o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6387\/8516*(-48)\/11?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 97710*g**2 - 22*g. Let s(u) = 9*u. Give s(v(w)).\nAnswer: 879390*w**2 - 198*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4123\/2 - -16491\/8. Let g(b) = b**2 - 3*b - 3. Let m = -2 + 6. Let z be g(m). Are p and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3 + (3 - 2 + 0)*(4 - 2 + 1))*(2 - 2*w - 2).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/60)\/(30\/18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/7 + 5872719*p**2\/7 - 35236395*p\/7 + 52854633\/7.\nAnswer: 3*(p - 3)**2*(p + 1957579)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.045 (b) 19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9649 - -12138. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b**5\/13 - 328*b**4\/13 + 3370*b**3\/13 - 13604*b**2\/13 + 22290*b\/13 - 12600\/13 = 0. Calculate b.\nAnswer: 3\/2, 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-25 - -6) - (10 + -4) - 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 w when three letters picked without replacement from smswsdsdkssad?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11496705 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/12*3 + 3. Suppose 0*i + 8 = 5*i + 3*w, 0 = -l*w - 16. Suppose 0 = -i*r + r + 135. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28038*t**3\/11 + 6224444*t**2\/11 + 345457974*t\/11 + 98568\/11 = 0. Calculate t.\nAnswer: -111, -4\/14019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose 53 = 4*r - b, r + 2*b - 18 = 7*b. Let x = -9 + r. Suppose x = -2*i, -4*m + 0*i - 2*i - 21600004 = 0. Round m to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-3) - 799786\/(-114)?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*n - 2*c - 23, -c = -5*n + 21. Suppose -2*s = -s + 4. Put n, 1, s in increasing order.\nAnswer: s, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -7.6. Let r = z + -6. Let x = 66 + -67. Which is the nearest to x? (a) 2\/7 (b) r (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/(2\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffnnnnfnnfnfn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/8)*v**(-3\/4))\/(v\/(v\/v**0))**18)**(2\/67) assuming v is positive.\nAnswer: v**(-1\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 12*w - 11*w + 3*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2 - 575756*i - 6909648 = 0.\nAnswer: -12, 143951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5728829*v + 15001079 wrt v?\nAnswer: 5728829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -596554, -1193106, -1789658, -2386210?\n\"Answer: -596552*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 9:23 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.8 - -19. Let n = -14 - -16. Which is the biggest value? (a) s (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 11 - -5 - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 32. Let o(r) = 0*r + 0*r + 15*r - y*r. Let l(w) = 143*w. Give o(l(z)).\nAnswer: 143*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147485599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r + 401*r = 6092 - 21547 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - 4*f - 36. Let b(t) = -13*t**2 + 7*t + 71. What is 4*b(k) + 7*v(k)?\nAnswer: -3*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 2. Let k be x(-1). Let g = 11.04 + -0.04. Which is the biggest value? (a) 2 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 648*b\/7 + 6328.\nAnswer: 2*(b - 226)*(b - 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 1645398*c + 3290808.\nAnswer: -3*(c - 548468)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/49 + (-96)\/(-14). Let n(l) = l - 3. Let o be n(u). Suppose -2*a + 134 = o*r, -4*a - 4 = 8. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/159 (b) -0.9 (c) 2 (d) 33\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 0 + 27 + -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -266*v**3 + 4*v**2 + 4*v. Let g(k) = -1062*k**3 + 15*k**2 + 15*k. Calculate -4*g(u) + 15*j(u).\nAnswer: 258*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 36. Let h be z\/5 - (-6)\/(-10). Suppose 3*r = -3*o + h, 4*r - 4 = -0. Which is the closest to o? (a) 5 (b) -2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 + d - 2. Let b be l(-2). Let k = 15 + -28. Let z = k + b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) -5 (b) 2364 (c) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3187128 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 4 (c) 0.2 (d) -0.1 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -8. Solve 20 = 3*t + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:42 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4123*o**3 - 253*o + 6 wrt o.\nAnswer: 24738*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 7. Suppose 4*c - 3*b + 36 = 0, -5*c - 45 + 3 = -3*b. Let v be n(c). Suppose v = 4*f - 31. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 0*j + 2*y = 3, -5*y = -2*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*s - 4 = 0, -3*z = -s - 6 - 2. Suppose v = z*v - 2. Suppose 2*g - 5*x = 129, v*x - 4*x + 2 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 - 1. Let p be m(3). Suppose -4*r + 196 = -4*g, -5*g + 102 = 3*r - 69. Let i = -50 + r. Solve -5*k + 0 = c - 2, p = -2*c + i*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9666 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106741 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 - 43675*t + 21341680 = 0. What is t?\nAnswer: -9199, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -72*u**3 - 87*u**2 + 71*u + 7. Does 10 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38956*x - 77936*x + 38978*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5021, -10033, -15045, -20057, -25069, -30081?\nAnswer: -35093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -33*g**4\/4 + 100*g**3 - 18*g**2 - 3456*g - 7414. Factor t(f).\nAnswer: -3*(f - 6)**2*(11*f + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3\/2 (c) -5 (d) -639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/3 (b) -6\/5 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/17 - (-150613500)\/3485.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.23*2.4\nAnswer: -2.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 510*l + 234*l + 17856 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 4. Let x(p) = -p**2 + p. Let k(c) = 4*c**2 - 5*c + 11. Let u(d) = -k(d) - 5*x(d). Let s(q) be the first derivative of u(q). Give a(s(n)).\nAnswer: 16*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-4))\/((-4228)\/2120 + 2). Let p = 132 - g. Sort 2\/15, -1, p, -5.\nAnswer: -5, -1, p, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 43, -0.4, -4\/5, 0 in ascending order.\nAnswer: -4, -4\/5, -0.4, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 572 - 534. Let p be 2\/4*(70 + 4). Is c not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9460.0008ms?\nAnswer: 0.00010949075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39920 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -9 (b) 6 (c) -4 (d) 0.91 (e) -2\/3 (f) 2\/33 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k - 14*k**2 - 29*k + 3*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/5, 0.163, 48, -3899 in ascending order.\nAnswer: -3899, 0.163, 1\/5, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.184128248 rounded to 3 decimal places?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91013, -91057, -91257, -91691, -92437, -93573, -95177, -97327?\nAnswer: -100101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-2\/5)*p))\/(p*p*p**(-3\/4)*p)*(p**2)**0 assuming p is positive.\nAnswer: p**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -65, -135, -205, -275, -345?\n\"Answer: -70*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8231 divided by 1.\nAnswer: 8231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2070, 4133, 6218, 8331, 10478, 12665, 14898, 17183?\nAnswer: 19526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 4 - 2 - 39 - 6*m**3.\nAnswer: -6*m**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 927 divided by -163.\nAnswer: -927\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47200900?\nAnswer: 2, 5, 37, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.6 - -6.8. Let h = -1937 + 1940.7. Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114 and -712.9.\nAnswer: -81270.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1783*f + 98078. Give s(-55).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**3 - 69*c**2 - 59*c**2 + 135*c**2)*(1 - 4 - 1) as t*c + z + u*c**3 + s*c**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 7}. What is prob of picking 1 z and 2 s?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 + 10*u**2 + 2*u. Let m(k) = 11*k**3 + 19*k**2 + 3*k. What is 7*l(j) - 4*m(j)?\nAnswer: -2*j**3 - 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44.4+150729248.1\nAnswer: 150729292.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4.17, -7, 8 in increasing order.\nAnswer: -7, -4.17, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppjpjpp. Give prob of picking 1 j and 1 p.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418468?\nAnswer: 2, 773, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -5 - (-4 + 15) - (309 - 325).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 9*m - m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, p: 2, l: 4, i: 6, z: 1}. What is prob of picking 1 l, 1 p, and 2 u?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*6*(-35)\/(-15). Let s = t + 25. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 2*s, 14*u = 3*s + 16*u + 6. Is s at most as big as -5\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((7 - -2 - 19) + 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4158\/13 + 320. Let f be -1*(-92)\/(-4)*-7. Let z = f - 482\/3. Which is the biggest value? (a) -3 (b) y (c) z (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 4*b**3 - 3*b**3 + b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96785773?\nAnswer: 7, 13826539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10 + 3\/(-15) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-3)\/(75\/8335). Let y = 335 + o. Let k be 4\/(-6) + 28\/33. Which is the closest to 0? (a) y (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - 720. Let a = f - -464.554. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -192.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 9:08 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 11*k = 630. Solve 0 = -2*w - 10, 5*l - w = 4*w + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88765?\nAnswer: 5, 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-44))\/(((-2)\/4)\/1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkuk when four letters picked without replacement from hkkku.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - -23. Suppose -135 = -5*a + 5*m, 2*a - d = -2*m + 6*m. Solve 16 = -4*g, 3*g + a = 4*f - 0*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40032483?\nAnswer: 3, 37, 360653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 4867.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8139, 8138, 8137, 8136, 8135, 8134?\n\"Answer: -l + 8140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 4:41 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(4*z**2 - 2*z**4 - 4*z**2) + (-2*z**3 + z**3 + 3*z**3)*(4*z - 6*z + 3*z) + 0*z**4 + 0*z**4 - z**4.\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 6.18?\nAnswer: 12.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 108. Solve -4 = 4*g + 2*a, 0*g + 4*a = g - x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 4. Let p(h) = 2*h**3 + h**2 + 2*h + 1. Let i be p(2). Let o = i - k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -7. What is the smallest common multiple of (-22)\/4*(-39 + 33) + 2\/1 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*j + 4 = 0, 5*j - 4*j = -5*a - 2. Factor a + 1\/2*g**2 + g.\nAnswer: g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away -71494866?\nAnswer: 71494866.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 180800*u - 4 + 180667*u + 10)*(3*u**3 + 0*u**3 - 5*u**3).\nAnswer: -6*u**5 + 266*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/4 - 25*x**2 + 2341*x\/4 + 3975\/2 = 0.\nAnswer: -3, 50, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -42. Suppose 4*s - 4*r - 36 = 0, -3*s + f = -2*r + 5. Let j = -16 + s. Let d(y) = -y - 13. What is d(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -52.89.\nAnswer: -59.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 8:47 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-196)*14)\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -53.\nAnswer: -20\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 26*s + 43. Let x(p) = p**2 + 13*p - 22. Let m(w) = 4*f(w) + 7*x(w). What is m(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 383155565 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -136695\/4 bigger than 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*m**3*w**2 + 15487410*m**3 - 156141*m*w**3 with respect to w.\nAnswer: -90*m**3*w - 468423*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(0 + (8 - 7))*1. Which is the third smallest value? (a) -22 (b) y (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 8:33 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17907.05 - 0.0025929.\nAnswer: -17907.0525929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:03 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -732a0 (base 11) in base 3?\nAnswer: -12102112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*y = -220*y - 22316 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 86 + 19647*w**2 - 86 - 19646*w**2. Let u(t) = 2916*t**2. What is a(u(b))?\nAnswer: 8503056*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20684099.\nAnswer: 31, 667229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18570 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 118, -6270 in decreasing order.\nAnswer: 118, 33, -6270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 4*b**2 + 2*b - 1. Let s be h(2). Let d be 2\/(-4)*64\/(-4). Calculate the remainder when 29 is divided by 12\/d*(-1 + s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6253\/4 + 1564. What is j in -x*j**2 + 1\/4 + 1\/2*j = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291772 != 2291899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2. Suppose 5*u - 120 = -3*f, 4*u + 6*f = 2*f + 88. Let s(n) = 18*n + 29*n - 57*n + u*n. Give x(s(g)).\nAnswer: 1156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32263649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4+23.2691454909\nAnswer: 27.2691454909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l + 10. Let m = l + 6. Let i be (-6)\/4*(m + -3). Solve i*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14604 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612585020 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - k + 14 - 36 = 0, -42 = -2*n + 3*k. Let j(p) = 15676*p**2 + 31*p - 120. Let y be j(n). What is y rounded to the nearest one hundred thousand?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8158*m = -8133*m - 675. Calculate the highest common divisor of m and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*z - 5*v + v, -z - 4*v - 7 = 0. Put 3, z, 41 in increasing order.\nAnswer: 3, z, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 2*v - 2. Let n be q(-1). Suppose 2*j - 5 = n. Which is the closest to -1\/4? (a) 0.2 (b) j (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0366? (a) -5 (b) 6 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 558607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*v**4 + 15*v**4 + 103*v**4 + 1 - 1 - 5*v**4 + (4*v**3 + 0*v**3 - 3*v**3)*(-2*v + 2*v - 2*v) + v**4 + 0*v**4 + v**4.\nAnswer: 103*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 11 = 5*m - 9, 4*u + 2*m = -16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r - y - 844, 0 = r + 4*y - 152. Suppose -5*j - 28 = -r. What is the greatest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 14*z**2 + 6*z - 6. Suppose j + 8 = 4*g, 0 = 5*j - 7*g + 2*g - 5. Is l(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-9)\/12. Let s be (1 + r)\/1 + -40050. Let d = 5050 + s. Round d to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1\/4 (b) 1249 (c) 10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1035 and 72864?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2739282 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 15*c + 20. Let q be a(-14). Solve 8 = 7*t - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -881, -1720, -2561, -3404, -4249, -5096, -5945?\nAnswer: -6796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1808*c**2*w + 28*c**2 - 22*c*w + 14944819*w with respect to c.\nAnswer: -3616*c*w + 56*c - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 726*i**2 - 10901*i + 165. Calculate x(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74\/7? (a) 205\/27 (b) -3 (c) 0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = -4*r + 21, 5*r = -4*j - 24. Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*(-170)\/85.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 129, 225, 321, 417?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 8 + 8. Let m(u) = u. Suppose -o - 5*w + 3 = -0*w, 2*o + 5*w = 1. What is o*m(g) - z(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-3)\/18*21. What is the highest common factor of a and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42bc (base 16) to base 8.\nAnswer: 41274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -40. Let c = -46 - a. Is -2\/11 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 7. Let o be n(-4). Let k = -0.6 - 3.4. Sort -5, o, k.\nAnswer: -5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 0*v - 1\/30*v**5 + 0*v**3 + 0*v**4 - 3*v**2. Let x(d) = -4*d + 3*d + 5*d. Determine x(s(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/((240\/256)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3055 - -3063. What is the least common multiple of g and -2*(-1 - (-51)\/(-2))?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(-29)))\/l**(4\/13) assuming l is positive.\nAnswer: l**(360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23.3 (b) 0.153 (c) 2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 20. Let n be j(-26). Let c = 46 + n. Let s(b) = -b + 16. Calculate s(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 1 - 109. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -g. Let r be 16\/(-10) + g\/(-10). Let l be 0 - ((-4)\/(-12))\/(1417\/(-234) + 6). Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 13 + 64 = 0. Which is the third biggest value? (a) 0.3 (b) o (c) -3\/20 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.66 - -0.46. What is the nearest to a in 0.1, 4, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*s + 127, -8*x = -6*x + 4*s - 124. Calculate the common denominator of 95\/18 and 298\/x + -4 + (-65)\/(-20).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 1130, 2415, 4170, 6395, 9090, 12255?\nAnswer: 15890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38 and 1186.1823.\nAnswer: 1224.1823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 23. Suppose 0*i - 4*i + 44 = -3*y, -50 = -5*i + 5*y. Let s be q(i). Let l(b) = -b**2 - 5*b - 3. Calculate l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24, -1, 45 in descending order.\nAnswer: 45, -1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 480 + 160*g - 45*g**3 - 5*g**4 - 81*g**3 - 90*g**2 - 54*g**3 + 135*g**3.\nAnswer: -5*(g - 2)*(g + 3)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (1 - -1)) + (-3 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*l - 1991*l - 175*l - 8 + 8 as b + m*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 + -14. Suppose -n - 2*m - 3 = -46, -5*m + c = 3*n. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2672*g - 2664*g + 80 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1795\/12565 - (12\/(-14) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b + 60. Let g = 507 - 319. Let r = 286 - g. What is the remainder when r is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - k + 6*k, -13 = 3*s - 4*k. Let t be ((-28)\/10)\/((-1)\/60). Is 14 a factor of t\/18*s\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122110 - -11100221?\nAnswer: 10201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 2)*(m + 0*m - 3*m) - 2*m + 12*m + 8*m)*(-4*m + 3*m + 3*m - 3) as g*m**2 + j*m + a and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 9*p - 7. Let o be y(10). Suppose -18 = g - 2*g - 4*z, 0 = 2*g - o*z + 8. Solve 0 = -5*d - g*l - 30, 0 = 2*d - 4*d + 4*l + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72292*m + 67837 wrt m.\nAnswer: 72292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (461\/(-5071))\/((-6)\/418)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292010525 divided by -95.\nAnswer: -3073795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - -536. What is the least common multiple of m and 8?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*d + 363*d = -14364 for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 32727.\nAnswer: 98181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - (-2 + 0 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + 12 - (-1 + -10). Let h(a) = a**2 - 9*a - 12. Let q be h(l). What is the biggest value in 2, q, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578746867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2253 + 2257. Let 4\/3*q + 4\/3*q**y + 14\/3*q**2 + 0 + 14\/3*q**3 = 0. Calculate q.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 326 and -0.0099.\nAnswer: -3.2274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccx when four letters picked without replacement from {x: 12, c: 5, z: 2}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436558?\nAnswer: 2, 218279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2094 or 2?\nAnswer: -2094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13160665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2143, 8825, 19963, 35557, 55607?\n\"Answer: 2228*a**2 - 2*a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 0*x + 1\/8*x**2 - 1\/2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b6 + -521ec?\nAnswer: -51f36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0302 - -0.086616\nAnswer: 0.056416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -3. Suppose -5*f = 4*b - z, 0 = 2*f + 2*f + 2*b - 16. Solve -f*n - t = -10, 0 = 3*n - n - 2*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f = 981 + 179. Suppose 2*p = 5*k + 103, 24*k + f = 20*k. What is the remainder when (-229)\/(-2) - 2\/4 is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 37. Let y = -5 + r. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4304 - 12?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in hours?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3027.7 + -1.7.\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from ffffofoffff.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/135 and 139\/780.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 806381053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546950823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, -218, -2 in descending order.\nAnswer: 524, -2, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + 6*i + 6. Let b(d) = 2*d - 5. Let f be b(5). Let p(y) = 5*y**2 - 5*y - 5. Calculate f*a(o) + 6*p(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.29404 millilitres to litres.\nAnswer: 0.00129404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -2\/285341, 1\/4?\nAnswer: -2\/285341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25 + 10 + 45\/25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 11\/12*k**4 - 1\/168*k**8 + 0*k + 15*k**2 + 13\/420*k**7 - 2\/3*k**3 + 1\/48*k**6 + 0 - 5\/12*k**5. Let r(c) = 0. Calculate c.\nAnswer: -2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h**2 + 66097*h - 22035*h - 22028*h - 22037*h.\nAnswer: 37*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q - 3*q + 4*q)*(-3*q + 4*q + 0*q) + 3 + 3*q**2 - 3)*(q**2 - 5*q**2 + q**2).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18218446 is divided by 4473.\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*y = 28*y + 10176 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l. Suppose 6 = -27*i + 29*i. Factor -j + i*j**5 + l*j**2 + 0*j**2 + 4*j - 6*j**3.\nAnswer: 3*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = -2*q, -3*r - 7 = q - 3. Differentiate -147*s + 147*s - 26 + 5*s**q with respect to s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 2*d**2 - 98*d + 98*d)*(5*d**2 - 3*d**2 - 4*d**2).\nAnswer: -4*d**4 + 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4131 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/32 and 31\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b*(((((b**(-4\/9)\/b*b)\/b)\/b)\/b)\/b)\/b*b)\/b)*b)*b*b*b**(2\/9))\/(b**(2\/5)\/(b*b**(1\/3))) assuming b is positive.\nAnswer: b**(-103\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.01 + 0.21. Let r = -792 + 1057. Let o be r\/(-180) + 1 + (-13)\/(-52). Is g greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218608 divided by -27326\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19 - 1 = -y, 2*y - 37 = -a. Suppose y = 7*s - 9*s. Let n(i) = i**2 + 5*i - 2. What is the remainder when n(s) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/7 - 20\/21. Which is the closest to -0.1? (a) s (b) 3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.8 minus -240?\nAnswer: 253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o - 20 = 0. Suppose -14 = -o*f - 3*m - 65, -3*m - 3 = f. Let d(a) = -124*a + 23. Is d(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 3\/7 (c) 25 (d) 2 (e) 0.07 (f) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37864 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - l + 2*l = 26, 4*s = -5*l + 64. Suppose 0 = 6*q - s*q. Solve 5*z - 19 = 4*t, q*z - t - 4 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 3. Let o(p) = 7*p + 5. Let g(f) = -3*o(f) + 5*w(f). Let h(c) = -31*c**2 - 11*c**2 + 37*c**2. Calculate g(h(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1212103*o**4*t**2 + 77*t**2 - 3998*t wrt o.\nAnswer: -4848412*o**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*q**2)*(-13 + 163*q**3 - 154*q**3 + 10).\nAnswer: -18*q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*k**5*z + 3*k**3*z**3 + 5*k*z**3 - 30*k*z + 2*k wrt k?\nAnswer: -3900*k**3*z + 18*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-30) - ((-39)\/(-15) - 3). Let h(n) = -n**3 - n**2 - n + 2. What is h(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b. Let c(q) = -20*q. Determine c(t(s)).\nAnswer: -120*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 5*f - 26. Let j be h(-5). Let l = 11447\/54 + -212. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 428778576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 5 - 34)*(-5*j**3 - 2*j**3 + 2*j**3).\nAnswer: 70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.38 * 0.2.\nAnswer: 6.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769942706?\nAnswer: 2, 3, 7, 31, 353, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {e: 1, i: 5, w: 4, m: 1, a: 1, g: 5}?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-3) - (-2)\/(-6). Let s = 21 + n. Calculate the greatest common divisor of 108 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)*(-3 - 1). Put i, -2, -6 in ascending order.\nAnswer: -6, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 609, 1805, 3595?\n\"Answer: 297*j**2 - 289*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 3*w**2 - 4*w**3 + 48 + 7*w**3 - 35 as z*w**2 + t*w + v + p*w**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + 11*j**2 - 7*j + 12. Let x be a(5). Find the first derivative of -267*b**x + 275 + 3179*b - 3179*b wrt b.\nAnswer: -534*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let s be z(3). Let l(a) = a**3 + 4*a**2 + 5*a + 3. Let p be l(s). Let n(v) = -3*v - 41. Let d be n(-12). Put p, 5, d in increasing order.\nAnswer: d, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -21?\nAnswer: -16\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*x**2 - 406*x**2 - 370*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/3 + 5*a**4\/3 + a**3 - 13*a**2\/3 - 10*a\/3 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -106, -156, -204?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/60 - 3*d**2. Let n(k) = 4*k - 5. Let h(z) = z - 1. Let q(b) = 5*h(b) - n(b). What is q(o(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65905.9900088 + 65868.99. Let d = -10 - -47. Let g = u + d. What is g rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*u**2*w**2 - 4*u**2 - 29*u*w**2 - 66*w wrt w.\nAnswer: 28*u**2 - 58*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:36 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243794834 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, 10, 30, 66, 124?\n\"Answer: h**3 - h**2 + 6*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 963*t**2. Let h(p) = 7435*p. What is h(x(s))?\nAnswer: 7159905*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/261760 and -23\/40.\nAnswer: 261760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u**5 + 2778*u**4 + 28806*u**3 + 108300*u**2 + 140979*u + 58770 = 0 for u.\nAnswer: -653\/21, -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 13*w + 6. Let y be i(6). Which is smaller: y or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 8\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-8 - -9) + ((-7)\/(-1) - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.7, -1, -2, 51, 0.1, -4 in decreasing order.\nAnswer: 51, 0.7, 0.1, -1\/2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6422616 by -4.\nAnswer: -1605654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 - 55*p**2 + 14*p + 3. Let q(z) = z**2 - 11*z - 74. Let s be q(15). Let w be n(s). Sort -2, 10, w, 5.\nAnswer: -2, w, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130259897 to the nearest integer?\nAnswer: 11413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 + 86*w**2 + 83*w - 5. Determine n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -678016725 take away 0.035?\nAnswer: -678016725.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 60, -2\/25, -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 3*f + 6250, 3*f + 18744 = 3*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**4 + 5*r**4 - 5*r**4)*(-3 - 2 + 6) + 0*r**4 + 3*r**4 - r**4 - r**3 + 10*r**4 + 1 + r**3 as o*r**3 + j*r**4 + q + d*r**2 + z*r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1770b636 - 4?\nAnswer: -1770b63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181258, 172, 0 in increasing order.\nAnswer: 0, 172, 181258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 601116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 307*g + 181. Let d(h) = 307*h + 180. Let s(q) = -5*d(q) + 6*l(q). Find the first derivative of s(p) wrt p.\nAnswer: 307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 12 - 21)*(8*w - 60 + 60)*(0*w + w - 3*w).\nAnswer: 448*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10756341 a multiple of 1127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*((sqrt(100) - -1*sqrt(100) - sqrt(100))*-1 + sqrt(100))\/(1*sqrt(5)*1) + -1)*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 33365.\nAnswer: -62\/33365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7197, 2, -0.2, 270, -0.5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387014 to the power of 1\/2, to the nearest integer?\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/60 + 4*g**4\/3 + 21*g**3 - 41*g**2. What is the units digit of h(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 7*j + 6. Let v be 1\/(-6) + (-403)\/(-78). Suppose 30 = -v*y - 0*y. Let s be b(y). Solve t + 3*t - 16 = s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2450*l**3 + 3067960*l**2 + 701152*l + 40064 = 0.\nAnswer: -1252, -4\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -156 (c) 2\/5 (d) 0.13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13*x**2 + 4*x + 20. Let u be 3\/(-5) - 23\/(-5). Let j(t) = 14*t**2 + 5*t + 20. Let l(n) = u*j(n) - 5*m(n). Differentiate l(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506)\/(26 + -48) - 35 - (-417)\/35.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -10 (c) 3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -4*q. What are the prime factors of (1 - -1) + (42 - q)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 15 + 11. Let m(w) = 2*w**2 - 2*w - 1. Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7515292 = -o, -2*p + 5*o = 5928309 - 918069. What is p rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*y - 1 = 2, 0 = -4*y - 20. Let c be 66\/20 - 456\/(-380). Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k. Let z(g) = 9*g**2 - 33*g. Let x(l) = 44*w(l) + 4*z(l). Let p(m) = -7*m**2. Calculate x(p(r)).\nAnswer: -392*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-40)\/((-88)\/(-11))))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14214747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148628.\nAnswer: 2, 73, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22565 is divided by 7520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29202 is divided by 944?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17648.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4914 and -85\/189?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 3a124?\nAnswer: 3a120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1001427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -3*n**5\/20 - n**4\/4 - 7*n. Factor w(j).\nAnswer: -3*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 6\/7 (c) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -2, 5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*d - 10 = 0, 10 - 4 = w + 3*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25237873?\nAnswer: 71, 355463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050)*1 - sqrt(200)\/sqrt(4)*6 - (-1 + sqrt(450) - (1 + -2*sqrt(50))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1445b42 (base 13) to base 3\nAnswer: 110010010211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + 6*k**3 + 0*k**3 + (3*k**2 + 0*k**2 - 2*k**2)*(222 - 222 + 3*k) + 200*k**2 - 200*k**2 + 20*k**3 as v*k + o + w*k**2 + c*k**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**2\/3 + 44740*i\/3 - 1037400 = 0.\nAnswer: 70, 11115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 4*n + 37. Let w be k(4). Suppose -26 = -4*p - 5*d, -2*d - 1 = 3*p - 17. Solve c - w*c - 4*g + p = 0, -4*c - g = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*j + 23. Let c(s) = -s + 8. Let t be c(j). Suppose d + 5*i + 14 = 0, 2*i = -4*d + t - 6. What is the highest common divisor of 9 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**8\/224 - 3*y**7\/140 - 3*y**6\/80 - y**5\/40 - y**2\/2 - 5*y. Let i(f) be the first derivative of s(f). Factor i(z).\nAnswer: -3*z**2*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/36 and 765\/420 - 4\/14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, -1 in decreasing order.\nAnswer: 21, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*u + 3*k, -5*k = -4*u - 0*u + 11. Let g be (2\/(-7)*2)\/(60\/(-42)). Which is the nearest to g? (a) -2 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 960 divided by -192\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 102.4 and 13929.6979.\nAnswer: 14032.0979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + -12. Let h(c) = 10182*c + 162914. Let f be h(-16). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104852467.\nAnswer: 409, 256363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (27 - 1 - 84)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 12*m**2 + 391. Let r be i(14). What is the smallest value in r, -0.4, -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153741.\nAnswer: 3, 7, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3621 and 0.01.\nAnswer: 0.003621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.49274 rounded to 0 decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31848568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.028 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8563118.\nAnswer: 2, 47, 91097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -24. Suppose -5*y = 3*t - 23 - q, -t + 36 = 4*y. Suppose -5*i + 48 = y. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1011 = -1026 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4103099712 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (60\/9)\/((-1740)\/(-12267))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g - 5. Give x(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6430*b + 7637976 - 7637976 + (2 + 0 - 3)*(3*b - 2*b + 0*b) + 0*b + 0*b - b - 3*b + 2*b - b)*(-2 - 2*b + 2) to the form g*b + h + f*b**2 and give f.\nAnswer: 12868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91715426 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1)*z))**(1\/52)\/(z**(-10)\/z*z\/(z\/(z*z**(-3)))))**(-8) assuming z is positive.\nAnswer: z**(-1354\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 10 = 4*d. Let g = -30.11 - -30.21. Which is the biggest value? (a) g (b) -3\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 253, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5352113945?\nAnswer: 5, 1070422789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180290 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 q(m) = 2*m**2 - m - 2. Let o be (-7 - 9\/(-3)) + 2. Let n be q(o). Solve -3*f - u = 7, f = 2*u - 6 - n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 57. Is 14 a factor of u(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2 (b) 4 (c) 14 (d) -1\/2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84018 + 84018 + 121*y - 3*y**2.\nAnswer: -3*y**2 + 121*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17ca4719 + -1?\nAnswer: 17ca4718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-32) - (-3)\/4. Let d be (-35)\/(-10) - b\/2. Suppose 22 = 2*x + 2*o, -x + d*o + 15 = -0. Calculate the remainder when 21 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 656 + 2*b**2 - 630 - 4*b**2 to z*b**2 + k*b + i and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*a = 143, 3*f + 3*a - 405 - 39 = 0. Suppose -54*g - f = -57*g. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -1326106\nAnswer: -15\/1326106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-21))\/((-1188)\/(-5544)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 417*i + 33. Let f(q) = 67*q**2 + 102*q + 101. Let b be f(-1). Let t(s) = 26*s + 2. Calculate b*t(x) - 4*y(x).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9396 and 12380.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**4 - 14460*y**3 + 428985*y**2 + 901370*y + 457920 = 0.\nAnswer: -1, 32, 2862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 28*s**2 + 90*s - 582. Calculate z(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 5 - 3)*(4 - 3 - 3)*(-2 + 2 - 2*d)*(14 - 7 + 12 + 0 - 7 + 4 + (0 - 1 + 2)*(1 + 1 + 0) - 3 + 1 + 1 + 0 + 3 - 2).\nAnswer: 576*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -9 (b) 3\/2 (c) 1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2*(-3)\/36). Let z be (-1)\/i - 1\/6. What is the nearest to z in 1\/3, 4, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 157.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3345 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036745257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11609 minus 6?\nAnswer: 11603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772*h + 777*h - 101 = -l, 0 = h + 4*l - 5. Solve 0 = -8*j + h + 27 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r + 98*r + 0 + 3 - 3.\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3858 and -107.\nAnswer: -412806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.982148 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tncduncq. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0.99205.\nAnswer: -0.99205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/179347017 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 17*a**2 - 21*a + 84. Let c be s(16). Solve -2*h + c*o + 20 = 2*h, -2*h - 4*o - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -1.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(408*y + 652*y - 1406*y - y**4).\nAnswer: 2*y**4 + 692*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1988*z - 5 = 1993*z, -5*x + 20 = -5*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Suppose s - m = 3. Suppose f = -5*f + 6. Solve 0 = -h + 5*h - b - f, -2*h - s*b = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(42\/35)\/((-18)\/(-30))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -k + 5*s + 126, 0 = 3*k - s - 734. Calculate the highest common divisor of 41 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33072 divided by 6\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*w**4*x - 23*w**4 + w**3*x - 4*w**2*x + 6*w**2 + 2*w*x - 47*x wrt w?\nAnswer: -312*w*x - 552*w + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3596*m + 169198. Give s(-47).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -694*u + 1334. What is h(3)?\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {z: 7, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 2. Let x be 0\/((-12)\/(-2) - 4). Suppose 9*y - 41 + 68 = x. What is d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*o + 19 = 0, -3*c = -4*c + 4*o + 23. Let p(j) = 4*j - 1. Let a(s) = 5*s - 2. Let k(l) = -3*l + 1. Let w be k(1). What is c*p(i) + w*a(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:43 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13544681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/390 and 7\/2320?\nAnswer: 90480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:11 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 77 (b) -9 (c) -143 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149 (base 16) to base 7.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*h**2*o - 352*h**2 - o**3 wrt o.\nAnswer: 90*h**2 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 199387*f - 267030?\nAnswer: 199387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -100. Solve f = -2*z + z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1395*t**2 + 78*t - 32. Let h(u) = 2792*u**2 + 158*u - 63. Let n(v) = 3*h(v) - 5*y(v). What is the second derivative of n(z) wrt z?\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*d - 17, -3*c = c - 5*d + 8. Let j(h) = -h**2 - c*h**2 + 2*h**2. Let z(r) = 3514*r + 6*r**2 - 3514*r. Calculate j(z(k)).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(0 + (-1 - -2)). Calculate the remainder when 9 is divided by 6\/x*4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*4\/(-12))\/1. Let l = -4 + 1. Let w = l + 2.9. Do b and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 3, -3, 11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1050 + -3.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(108) - sqrt(12)))\/(((3*sqrt(48))\/sqrt(12) - sqrt(4))*-4) + 1.\nAnswer: -3*sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34592\/33 + -5741\/11. Which is greater: 525 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**3 + 0*j**3 + 2*j**3)*((-4*j + 0*j + 2*j)*(-6 + 1 + 3) + 1 - 1 - 3*j) in the form h*j + a + n*j**3 + s*j**2 + b*j**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*c**3*x**2 - 2*c**2*x - 3*c**2 - 37*x**2 wrt c.\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 50 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llldlllllldldlldlld. What is prob of sequence ddl?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 4.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 11*r + 16. Let j be (-184)\/18 - 1*6\/(-27). Let o be c(j). What is the greatest common factor of o and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s. Let o(g) = 33*g. Let k(a) = -15*m(a) - 4*o(a). Let z be 2 + (80\/10 - 9). Give k(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/3*9489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 0.3, 0.25, 2, -55, 1 in descending order.\nAnswer: 2, 1, 0.4, 0.3, 0.25, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1250*86*16*2\/(-2). Round y to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + x + 78, -3*p + 8 = -2*x - 73. Suppose 24*t - p*t = -25. Let r = 1 + 6. Calculate the remainder when t is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 781\/847)\/((-9)\/7).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 6*m + 3*m = -3*t + 5, -4*m = 7*t - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 + -87. Suppose 4*v - 14 = -t. Let o = 15 - v. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77495 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 33 = 2*o, 23 = 5*h - o - 19. Suppose 7*p = 8*p - 3. What is the units digit of 6 + (h - 0)\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/2)\/(-36)*-2*(-42)\/49\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from {z: 4, k: 9, j: 1, v: 3, f: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 48*w + 1615. Let h(g) = -316. Let t(q) = a(q) + 6*h(q). Calculate t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from ppwgjrjjrgjkj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g. Suppose 17*l - 13*l - 84 = g. Let v = 54 - l. Is 0.2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/20, -871, 2\/19, -3, -0.1, -2\/9, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -160*m - 1588. Give z(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = -1, 2*q = 5*p - 5. Let k = -91.9 + 87. Let j = 4.8 + k. Which is the closest to j? (a) 4 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500425.\nAnswer: 5, 60017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 1479608930?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156619\/65260 - -1\/13052. What is the common denominator of 31\/11 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133476 is divided by 26659?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 2*s - 2. Suppose 5*f - 93 = -23. Let j be (f\/21)\/(4\/(-18)). Calculate the remainder when 65 is divided by y(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10*q**3 + 11*q**2 + 34*q - 17. Let s(y) = -7*y**3 + 7*y**2 + 23*y - 11. Let u(g) = 7*s(g) - 5*z(g). Give u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + -1.92. Let s = v + -0.18. Let l = -429\/5 + 431\/5. What is the second smallest value in 0, l, s, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 55. Is f(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 9.3. Let x = -3.1 + 4.22. Let b = f - x. Round b to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*x + 18 = 0, -2*g - 4*x = 2*g + 12. Let p be (((-10)\/6)\/(50\/(-60)))\/g. Solve 0 = 2*y - v + 3*v + p, -y = 3*v - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 - 129*r**4 - 4573*r**3 - 41367*r**2 + 4574*r + 41496 = 0?\nAnswer: -76, -39, -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s**2 + 156*s - 15. Give b(6).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -253 in -1, 3\/4, -1\/226, 1\/8, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-30) - (-2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 137 = -33*i, 4*w + 25*i - 14*i = 12*i + 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 + 415 = 5*l. Let h(b) = 14*b + 1. Let f be h(7). Suppose -l + f = -i. Solve -3*v - i = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3220806 and 4?\nAnswer: 6441612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 22*n**2 + 3 + 8 + 11*n + 0*n**3. Let m be (-56)\/64*4*6. What is the units digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -389.7 + 390. Which is the second biggest value? (a) 1 (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022795646 to 7 decimal places.\nAnswer: 0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 10:17 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 5*d**6\/108 - 16*d**5\/27 + 61*d**4\/108 - 2*d**3\/9 - 12*d**2 - d. Factor y(n).\nAnswer: 2*(n - 6)*(5*n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60053 is divided by 1764.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/587 - -6453\/1174. Is x greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172905952 greater than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12738900\/425 + 3\/51*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 72. Let i be v\/(-50) - 2\/5. Let r = -4 + 2. Sort r, i, -1 in descending order.\nAnswer: i, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7d (base 15) in base 14?\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 + 62*m**3 - 2175*m**2\/4 + 1438*m - 956 = 0. What is m?\nAnswer: 1, 4, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 9) + (-8 - (-10 + -17) - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 + 97.1. Let j = 1.96 + r. Let n = j + -2.06382. Round n to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151752 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 8:47 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 8*r**5\/5 + 2*r**3\/3 - r**2 + 33*r - 67. What is the second derivative of g(j) wrt j?\nAnswer: 96*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x - 0*x. Let n(w) = 15 + w**x - 2*w**3 + 0*w**3 + 5. What are the prime factors of n(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 2\/17, 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 - 44. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*(1\/(-2) - 0). Suppose p*x - 5*x = 5. Let t(o) = -o**2 - 5*o - 3. Give t(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84\/(-16) + 3\/12. Let t = 2 - u. Let m = 7 + -4. What is the remainder when t is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 11110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = c, 3*c + 25 = -5*o + c. Suppose -4*m + 31 = 5*b, -m + 4*m = 2*b + 29. Calculate the remainder when m is divided by (8 - (-80)\/(-8))\/(2\/o).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 142 = 2. Let a(v) = 222*v - 38. Let c be a(i). What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7821 and 405823.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(4*h**5 + 3*h**5 - 5*h**5) + 0*h**5 - 3*h**5 + 2*h**5 - h**5 - h**5 + 0*h**5)*(2 - 3 + 5).\nAnswer: -28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(-3*d - 2 + 0*d + 4*d).\nAnswer: 3*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/(2*-2))\/(((-18018)\/(-6188))\/99)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(6\/(-8)). Let x(n) = n**3 + 2*n**2 + n + 2. Let u be x(f). What is u rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014323244 to seven decimal places.\nAnswer: 0.0001432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*-1*sqrt(10) - sqrt(10))*-2)\/(6*(sqrt(98)*2 - sqrt(98))*3).\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 16144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.472312 millilitres to litres.\nAnswer: 0.006472312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000853106098 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 856\/5 in -0.4, 4, -26\/7, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-12)\/(-42))\/((-2)\/(-7)). Let l(r) = -9*r**h + 16 + 18 - 2*r**2 - r**3 + 6*r. Let v be l(-12). Is 106 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 + 43. Let v = i - -323. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i**2 - 258*i + 122. Let l be j(21). Sort -3, 3, 192, l in descending order.\nAnswer: 192, 3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxb when three letters picked without replacement from {b: 4, x: 16}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 363263 + -119876617\/330. Find the common denominator of 46\/165 and r.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -237, -903, -2711, -6231, -12033?\n\"Answer: -95*b**3 - b**2 + 2*b - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20906.2221 and -0.1.\nAnswer: -20906.3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 7:54 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/12 - 5*a**3\/3 - 6*a**2. Calculate g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 280.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, 10, 2\/21, -2\/7 in ascending order.\nAnswer: -2\/7, -1\/18, 2\/21, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 13*f**2 - 7*f - 17. Let y = -14 - -13. Let p be 2 + y\/1*14. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 376530021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 22 = 5*g. Let r = g + 31. What is the highest common divisor of r and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3\/3 - 12*w**2 + 12*w - 2121. Give z(13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6871 + -6867. Put -2, 6, s, 0, 0.3 in descending order.\nAnswer: 6, s, 0.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -6*sqrt(2)*1 - ((sqrt(176)*-1)\/sqrt(11))\/sqrt(8)) + 3)*3.\nAnswer: -15*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (-4 + (sqrt(11) - sqrt(11)*-2)*5 + sqrt(275) + -1 + sqrt(275) + -1)**2).\nAnswer: -34580 + 1500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14764 < -14763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*o**3 + 3*o + 56*o**3 + o + (o**2 + o**2 + 0*o**2)*(0*o + 11*o + o).\nAnswer: 28*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o + 147. Let h(v) = -4. Give -30*h(j) - p(j).\nAnswer: 3*j - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10009 - 10005. Solve -15 + 19 = v, 41 = -5*q + a*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23834 + 46074. Round a to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/4*(0 - 0). Suppose 5*p - 202 = -0*y - 4*y, -2*p - 5*y + 74 = k. Let l = -12 + p. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + a. Let w(i) = 2*i**2 + 116*i - 1. Determine r(p) + w(p).\nAnswer: p**2 + 117*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2622)\/(-6384) + (-2)\/16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 915 + -1833\/2. What is the second biggest value in 7, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.18 + -4.58. Let u = 6 - 8. What is the third biggest value in 2, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 17.9. Let z = -6 - -8. Which is the nearest to m? (a) 5\/3 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a79 - 2426?\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 217 - 283 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 103356?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-68)\/(-16))*4\/(-10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -373 - -648. Calculate the highest common divisor of 25 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(35\/6))\/((-3)\/(-2230)). Suppose -2*n + b = 3*s + 2*s, 5*s + 4*n = 894. List the prime factors of s.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1779271.\nAnswer: -533781.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - g + 3 + 14, -4*g - 51 = -5*y. Let v(n) = 2*n**2 - 6*n + 4. Let m be v(y). Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16087\/378 + 297\/7. Find the common denominator of -35\/12 and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 39, 100, 195, 330, 511, 744, 1035?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010101 (base 2) in base 5?\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15)*(-15)\/9. Let j = -215 - -213. Let m be 2*((46\/(-12) - j) + 2). What is the third biggest value in m, a, 0, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 4*u + 4. Calculate the remainder when 109 is divided by y(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let p(z) = z**2 - 210366*z. Determine p(k(y)).\nAnswer: y**2 + 210366*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 30 = 5*i, 14 = 2*u - 4*i + 8*i. Suppose 0 = -u*b - 4*o - 16980 - 11078, 3*b + 5*o + 16840 = 0. Round b to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 115*r**4 + 143419*r**3 - 2794079*r**2 - 1740068880*r + 580328100 = 0. Calculate r.\nAnswer: -146, 1\/3, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + v - 20 = 50, 0 = -2*g + 3*v + 43. Suppose 0 = -7*y + 61 + g. Let c = y + -10. Let w(s) = s**2 + s - 2. Calculate w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*k = 69*k + 15884 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*u = -176454, 3*y - u + 176430 = 5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -78, -170, -300, -468?\n\"Answer: -19*c**2 + 3*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/60 and 101\/5508?\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1721305 and 6175.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25599*g**2*q**2 + 213*g**2*q - 17*g*q - 2*q + 2 wrt q.\nAnswer: 51198*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13020154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34092, -65855, -97618?\nAnswer: -129381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 189219+-17\nAnswer: 189202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 755*d**2 - 1505*d + 11. Give t(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 + 67 + 198*x + (0 - 2 + 3)*(-16 + 14*x + 16) to z + j*x and give j.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2557289868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 + 19*g - 54. Suppose -4*i = -2*z + 46, 2*i + 75 = 22*z - 17*z. What are the prime factors of y(z)?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 6*i = -9*i. Suppose 15 = 5*l + 5. Factor 1\/3*u**3 + 2\/3*u**l + i + 1\/3*u.\nAnswer: u*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48882211?\nAnswer: 7, 439, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 5*b)*(-4 - 4 + 26*b + 12).\nAnswer: 52*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6)\/(-2*1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13682*k + 10. Let a(r) = -4976*r + 3. Let q(b) = -11*a(b) + 4*l(b). Let u(c) = c + 1. Let o be -1 + (0 - 5 - -1). Calculate o*u(n) + q(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 2, m: 1, r: 1, k: 1, s: 2}. What is prob of picking 2 s and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197211948?\nAnswer: 2, 3, 29, 566701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2558 * -40522.\nAnswer: 103655276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2265*c + 869747. What is m(384)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.8 - -56.8. Let b = 0.2 - 0. Sort b, v, 2\/11 in increasing order.\nAnswer: v, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19922852, -39845729, -59768606, -79691483, -99614360?\nAnswer: -119537237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3897 and 2283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/224)\/(2\/(-240)). Solve -13*q = -19*q - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11493 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) -2.69 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - w - x = -26287, -w + 2201 = -2*x. What is the least common multiple of w and 3443?\nAnswer: 24101","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n - 1. Let z be w(-5). Suppose 7*m = -2*s + 11*m + 10, 2*s - m + 2 = 0. Let b be (s\/4)\/((-4)\/z). Let u(k) = -k**2 - 4*k. Give u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(14\/311) + (49 - (-72398)\/(-1484)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53885541 and 2154.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 117*c + 342. Let s be y(2). Calculate the highest common factor of s and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyynnyynnyynnyyygy. What is prob of sequence yyn?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 19.6, -1\/32, 1, -1, 2 in decreasing order.\nAnswer: 19.6, 2.6, 2, 1, -1\/32, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**4 - 5*f**4 - 2*f**3 + 4*f**4 + (3*f**2 - 6*f**2 + 6*f**2)*(65*f**2 - 85*f**2 - 102*f**2).\nAnswer: -373*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 54*n + 1. Let x be r(-27). Let p be 2*(-2 - 17\/(-2)). Let u = 20 - p. What is the greatest common factor of x and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 2*s**3 + 9*s**2\/2 + 65*s - 2. Let o(l) = -l - 1. Let u(t) = -t**2 - t + 1. Let x be u(-2). Give x*y(z) - 9*o(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 330 + -331. Which is bigger: u or -167?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -413937*y + 797409 wrt y.\nAnswer: -413937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 4*r. Suppose -5*s - 55 = -r*h, -5*h + 78 = -0*s + 3*s. What are the prime factors of (0 + h)*(-5)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -7*v - 48. Let k = v - -14. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**3 + 1155*u**2 + 773*u + 129 = 0. Calculate u.\nAnswer: -1\/3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**8\/1680 + y**5\/20 + 5*y**3\/3 + 4. Let z(a) be the third derivative of l(a). Find the second derivative of z(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7658317.\nAnswer: 7658317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 8*t - 3 - 23 = 0. Solve t + 5 = -18*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1192774\/5 or 238556?\nAnswer: 1192774\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 6. Let l be w(4). Let j = l - -8. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 s when four letters picked without replacement from ecscccccscccccs.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 2*b + 4. Let y(f) = f**2 + 3*f + 1. Let c be y(0). Suppose -5*d + 4 = -c, -5*w - 17 = -2*d. Calculate m(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h + 38. Give t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**7\/2520 - q**6\/720 + q**5\/30 + q**4\/4 - 7*q**2. Let c(a) be the second derivative of n(a). What is c(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283389*f**3 + 3 - 566766*f**3 + 283381*f**3 + 1 - 4.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 847.5 - 848. What is the second smallest value in q, -4, 0, -0.6, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/5 - 4*b**2 + 112*b\/5 + 128\/5.\nAnswer: -4*(b - 4)*(b + 1)*(b + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 - 112. Suppose -152 = -3*h - u. What is the closest to -1 in 4\/7, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4091? (a) -3 (b) -4\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14\/25, -4, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 4, 3, 320, 17 in increasing order.\nAnswer: -3, 3, 4, 10, 17, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014103 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 24 = 3*d. Suppose 0 = j + i - d, 5*j = 6*i - i + 10. Calculate the remainder when 25 is divided by -3 + 80\/j + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5\/7, 249\/8, -1\/7, -4, -1, 61, -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3885 and 368655?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35884 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**5 + 3*m**2 - m**5 - m**2)*(-5 + 1 + 2)*(-190 + 487 - 217)*(0 - 1 - 4).\nAnswer: -1600*m**5 + 1600*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.8 - -11.6. What is the fourth biggest value in l, -1, -1\/3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n**2 - 45*n - 2. Let q be x(4). Calculate the highest common divisor of q and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1578108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 + 1049.79?\nAnswer: 1043.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 17*j - 11*j = 0. Put 5, 3, j, 1, 198 in decreasing order.\nAnswer: 198, 5, 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 229409 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*c**2 + 91*c**2 + 109*c**2 as u + g*c**2 + b*c and give g.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -651\/412 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*14\/(-49))\/((-642)\/126 - -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 35 - 48 + 4*h - 2*h. Suppose -4*c + 25 = -2*c - 3*t, 5*t = -3*c - 10. What is the least common multiple of i(19) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**3 - 4*a**3 + 5*a**3)*(-5*a + 6*a - 13 - 3*a) to f + b*a + z*a**2 + q*a**3 + j*a**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -8*q - 13. Is 41 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j - 4. Let a(z) = -2*z**2 - 13*z + 7. Let x(g) = -6*a(g) - 11*q(g). Let o be (-9)\/(-2)*(-6)\/9. Determine x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2 - 2)*(-4 + 1 + 1) - 3 + w + 3 + w + w - w + 6*w - w - 3*w + (-1 - 2 + 1)*(w - 4*w + 2*w) + 19*w + 26*w + 43*w + 7*w - 9*w - 23*w.\nAnswer: 71*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816)*-2)\/(sqrt(6)\/sqrt(2)*-6) - ((sqrt(204)*1)\/(6*(sqrt(3) + sqrt(27)) - sqrt(3)))**2.\nAnswer: -68\/529 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 46*v**2 + 95*v - 44.\nAnswer: -(v - 1)*(v + 11)*(5*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.07 (c) 11233 (d) -2 (e) 56 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:22 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -u + 16, 0 = -2*u - 2*j + 20 + 52. Let k = 46 + u. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (1*sqrt(13) + -1) - sqrt(13) - (1 + sqrt(1872))**2.\nAnswer: -1872 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 114d8 - -5c?\nAnswer: 11545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l + 72. Give g(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3163 - 446.3163. What is the second smallest value in -1\/4, -0.3, 1, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3)*24\/32. Let k be 178*(3 + (-5)\/s). Let x = k + -35. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 2, l: 2, r: 5}. Give prob of sequence rl.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333.96 + 335. Let s = 54 + -53.26. Let o = s - a. Which is bigger: 11 or o?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) + (-5205)\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00263742541 rounded to 6 dps?\nAnswer: -0.002637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose 0*w = 4*w. Suppose -10\/9*q**5 + 4\/9*q**2 - u*q**3 + 0*q + w + 8\/3*q**4 = 0. What is q?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11970 * -94.\nAnswer: -1125180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**6 - 157\/42*f**7 + 137*f + 0*f**2 + 0*f**3 + 0*f**5 + 131\/12*f**4 + 0. What is the third derivative of t(h) wrt h?\nAnswer: -9420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*i**2)*(32*i + 796 - 796) - 2*i**2 - i**3 + 2*i**2.\nAnswer: 127*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -379, -389, -401, -415?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 31864?\nAnswer: 286776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7825 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391758?\nAnswer: 2, 3, 65293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (81780\/420 - 89) + (-9)\/(-7)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:29 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -260. Let l = i - 77.961. Let b = l + -0.08. What is b rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/5 - 466*r**4\/5 - 33646*r**3\/5 - 32238*r**2\/5 + 66348*r\/5 = 0.\nAnswer: -57, -2, 0, 1, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2286536894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 4, z: 4, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3135926*u**2 - 1703168*u.\nAnswer: 6271852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:18 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3178, -9098, -17706, -28996, -42962, -59598?\n\"Answer: c**3 - 1350*c**2 - 1877*c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1888889\/(-3*1\/(-108)). Suppose -5*d = 4*t - h, 26989461 = 5*d - t - 41010538. What is d rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -169, -232, -279, -304, -301, -264?\n\"Answer: x**3 - x**2 - 77*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -430354043.80000077 + 430354059. Let l = -15.2 + x. What is l rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 34.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 5*q**2 + 1. Let c(v) = 4 + v**2 - 4 + 0. Give -10*c(j) - 2*l(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 7. Suppose -4*i - 5 = -c*i. Suppose -i*f = -0*f - 45. Calculate the least common multiple of 6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**3 + v**2 + 6*v - 11. Let u be c(3). Let k = u + -269. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*d + 969431 = 0, -k - 50359 = 3*d - 244230. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r + 2*x, -4*x + x = 4*r - 17. Suppose -5*h - 10 = 0, -r*y + 56 = 2*y + 4*h. What is the highest common factor of y and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -4, -0.06, 120, -2, 0.5, -106?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448923 and 3775?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489445935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 491, 3, -100, 5 in increasing order.\nAnswer: -100, 0, 3, 4, 5, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 3*a - 4*a + 3. Let c(p) = -p + 1. Let m(z) = -z**3 - 16*z**2 - 8*z + 112. Let k be m(-15). Give k*c(y) - 2*d(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000693686 to 5 decimal places.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 18049c26?\nAnswer: -18049c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 963802416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5801 - 471?\nAnswer: -6172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101769 divided by 3.\nAnswer: 33923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557153789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -6\/5*v - 7\/5*v**2 - 1\/10*v**4 - 11 - 2\/3*v**3. Factor u(c).\nAnswer: -2*(c + 1)**2*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -91\/30*k**5 + 37\/12*k**4 + 0*k + 0*k**3 + 0 + 102*k**2. What is the second derivative of m(u) wrt u?\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 25 = 5*q. Solve -q*y + 3 = -17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - 0 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 1, c: 2, w: 1, r: 2, m: 5}. What is prob of sequence mmcr?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*r - 5)*(-4 + 0 + 1)*((-2 + 3 - 2)*(2 - r**2 - 2) - 4 + r**2 + 4) in the form p*r**3 + n*r**2 + y + q*r and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849536 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 169 = 5*p, f - 60 = -2*p - 2*f. Suppose p - 86 = -d. What is the remainder when d is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (30 - (-4 + 13))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 31*g**3 - 3*g**2 - 9*g + 17. What is the tens digit of s(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - (-2)\/(-56). Let w = -125 - -140. Suppose 2*z = -7 + w. Which is bigger: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5607 and 162?\nAnswer: 100926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12683\/444 - -76\/111. Let c = a + -29. Let v = -0.03 + 0.08. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2))**(1\/10)*(p*p**6)\/p*p*p\/p**(1\/3))**(-4\/15))**(-11) assuming p is positive.\nAnswer: p**(5093\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 26*i - 6*i + (-5*i + 12*i - 5*i - 1)*(-1 + 3 + 0) to n + g*i and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182284 and 15?\nAnswer: -2734260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 23 = -n, 4*n + 37 = 9. Solve 3*p + o = h, -12 = h + 4*p + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/440)\/(12\/(-30)). Which is the second smallest value? (a) 4 (b) t (c) 1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*q**4 - 136*q - 60*q - 65*q - 8 - 56*q**3 + 183*q - 37*q**4 wrt q.\nAnswer: -300*q**2 - 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 10*l + 63 - 128)*(-10 + 10 + 2*l).\nAnswer: -20*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 9*z - 9. Let j be s(-7). Let x(v) = v - 3. Let t be x(j). Let r = t + 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d4d - -89?\nAnswer: 2dd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(1 - 1 + v)*(-4 + 20 + 8).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -105, -19, 67, 153, 239?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6904 = -0*q - 2*q, 4*z - q + 5518 = 0. Round z to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-20 - -3) - 16\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 13*g**2 - 3*g + 5. Let z be u(-12). Suppose -b + 2*v + v = -z, v = -4*b + 688. List the prime factors of b.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*d - 51*d - 52*d - 51*d + 273*d**2 to the form y*d + k + v*d**2 and give v.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Suppose 2*v = -3*j + 3, -3*v = -3*j - j + 4. Let k be c(j). Solve -7\/4*h**3 + 3\/2*h**4 + 1\/2*h**2 + k + 0*h = 0.\nAnswer: 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 s when three letters picked without replacement from {s: 2, u: 2, n: 1, y: 1, r: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7 + 1 + q**2 - 7*q - 1. Let p be 1\/(-1) - -4 - -2. Calculate n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275170\/27 >= 10191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-694)\/1041*435\/(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 3*p - 4. Suppose -h - 12 = 3*f, -5*h = -6*f + 9*f. Calculate k(h).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let k(a) = -4*a. Let o(x) = 6*f(x) + k(x). Let q be o(0). What is the third derivative of 6*m - 2*m**2 - 6*m - 8*m**5 + q*m wrt m?\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 457, 412, 365, 316, 265, 212?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 159. Suppose h*z - 4568 = -1352. Is 135 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1709 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:11 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6001737 (base 8) to base 11.\nAnswer: -985508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 161 in 4, -2\/3, 14\/3, 3.3, 4\/3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:05 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 21*c - 6 + 6 - 18*c + 211*c**2.\nAnswer: 211*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (48 + -33 + -8).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g + 2*g + 4*g + 3 - 2*g. Let f be j(-3). What is the common denominator of -7\/3 and 3\/f*103 + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 138 - 3*b + 22*b - 21*b.\nAnswer: -2*b + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4736892 is divided by 4080?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.243*22.\nAnswer: -5.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:45 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -617, -2412, -5373, -9488, -14745, -21132, -28637, -37248?\nAnswer: -46953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 11*k - 2. Let d be x(9). Let m = 8 - -7. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)*m**2)\/((m*m**(-3)\/m)\/((m\/m**(-3\/5))\/m))*(m\/(m*m*m**(-1)*m*m*m)*m**(-6)*m)\/(m**(1\/7)\/((m\/m**(-3\/4))\/m*m)) assuming m is positive.\nAnswer: m**(227\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -4 (c) -8 (d) -1\/341 (e) -1 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k + 400000. Let g be p(0). Round g to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -64.3, -797\/3, -4 in ascending order.\nAnswer: -797\/3, -64.3, -4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 28 = 2*j + 4*o, 0 = -3*j + 5*o + 21. Suppose p = -0*l + 2*l + 15, 5 = 5*p. Is 4 a factor of 3 + j - (-7)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -312217, -311842, -311469, -311098, -310729, -310362, -309997?\n\"Answer: -q**2 + 378*q - 312594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -13*(-4)\/(-10)*(2 + -27). Calculate the greatest common factor of 52 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*z + 22 - 21 - 30*z)*(-1 + 1 - 4*z).\nAnswer: -528*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27850372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygitysjggyy. Give prob of sequence jisg.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -69700873?\nAnswer: 69700872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.321143 millennia?\nAnswer: 111853.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 150673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1466 = -g, 4*g - n = 4*n + 5830. Suppose -2*v + h = -725, -4*v + 8*v - 4*h - g = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.5 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6)*(-3)\/(-32)*48.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/180 + j**4\/3 - 5*j**3\/6 + 7*j**2. Let m(c) be the first derivative of u(c). What is the derivative of m(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 704849.32 and 2.7.\nAnswer: 704852.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 - 45*a**2 + 30*a + 72 = 0 for a.\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 + 5*h. Let i = 4 + -2. Let s(j) = 0*j**2 + i*j**2 + 6*j**2 - 6*j**2. What is s(n(c))?\nAnswer: 18*c**4 - 60*c**3 + 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 3\/(-12). Suppose y = v - 6*v + 10. Suppose 94 + 8 = 4*q - c, q - v*c = 22. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11*p**2 + 36*p - 35. Calculate v(8).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:31 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 0 + 16*d**3 - 4 + 6.\nAnswer: 16*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7423752 divided by -21.\nAnswer: 353512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.3984.\nAnswer: 0.11952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2625869 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*j + 65376 + 12088, 4*q - 77448 = -4*j. What is the highest common divisor of 130 and q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271607046 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-6)\/3 + 2. Let m(p) = 23*p - 1. Let w be m(1). List the prime factors of w*l*(-3)\/(-12).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose a*b + 4*x - 23 = x, 0 = 2*b - x + 1. Suppose 6 - b = w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 times -9?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 178290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/7)\/(d\/(d*((((d\/(d*d**(-1\/6)*d))\/d)\/d)\/d)\/d)))**(-15))**39 assuming d is positive.\nAnswer: d**(34905\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -277*p**5\/2 - p**4\/3 - 37*p**3\/6 + 1826*p - 1. Find the third derivative of k(d) wrt d.\nAnswer: -16620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 + 9812*p + 29400 = 0. Calculate p.\nAnswer: -2450, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*h + 472 = 52*h - 110*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (4 - (2 + 1)). Let b be 6*k\/24*-4. Suppose 353 = 4*t + 341. Solve -b*i + 17 = -j, t*j + 27 = 3*i - 0*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -4*t, -6*c - 5 = -7*c + t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.77 - -11.9. What is the smallest value in n, 1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -14?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -100*v + 80. Let c(m) = -18*m + 14. Calculate 28*c(r) - 5*y(r).\nAnswer: -4*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*n - 3. Let z be 0 + n\/(-45)*-3. Put -0.2, z, 5 in decreasing order.\nAnswer: 5, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-24)\/(-1288))\/(357\/49 - 7) and -75\/14?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 29, 50, 71, 92, 113?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -32*x**2 - 1571*x + 172. What is f(-49)?\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 35 + 47 = -11*n + 16, -279*n + 278*n = 4*s - 88 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190981575 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:47 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11445 by 5.\nAnswer: -2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - 51*18\/108*2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 7*g**2 + 8*g + 2. Let f be q(-8). Suppose -v + 0 = -f. Let p be 8\/28 + 66\/14. Put v, -1, p in decreasing order.\nAnswer: p, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 5. Let a be (m\/(-12))\/(6\/(-4)). Suppose -19*p + 16 + 3 = 0. Which is greater: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 + (-6)\/(-3). Suppose 0 = -4*j + 27 + f. Let k = j + -4. Solve -k*n + 4*p + 7 = 0, 0 = -0*n + 3*n - 5*p - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -6 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 325*p - 9829. What is f(27)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) - 38\/(-9). Suppose -m - 8 = -l*s, -2*s = 6*m - 5*m - 4. Let r be (-3)\/(-4)*(-19 + 23). Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 198.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + -3 + (sqrt(3) + -1 - sqrt(3)) + sqrt(108)\/sqrt(4)))**2.\nAnswer: -162*sqrt(3) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*n = 13, -5*w + 2*n + 40 = 7. Let c = -2 + w. Find i, given that 11*i**2 - 2 + c*i - 14*i**2 + 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + n + 0*n - 11 = 0, 2*j + 2 = -2*n. Let u(q) = -8*q - 8. Does 8 divide u(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1503 divided by -730.\nAnswer: 1503\/730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 125*g. Let k(d) = -272*d - 39*d + 314*d. What is k(r(u))?\nAnswer: 375*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20134828 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -283848*g + 851536. Calculate y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15*(6 + 0). Let q be 1\/3 + 44\/12. Find the second derivative of 5*m**4 - 3*m**4 - 2*m - k*m**4 - 2*m**q wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59130 and 788400?\nAnswer: 2365200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3455 + 3455. Factor t*i**3 + 0 + 0*i + 1\/4*i**5 + 0*i**2 + 1\/2*i**4.\nAnswer: i**4*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 1944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7865 - -7921. What is the smallest common multiple of 448 and b?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 18.\nAnswer: -9, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, l: 5, o: 1}. What is prob of sequence xlxo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/2 - 306*c**2 + 20808*c - 471648 = 0. Calculate c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**8\/16800 + z**7\/2100 + z**6\/900 + 7*z**4\/24 - 8*z**2. Let s(v) be the second derivative of g(v). Factor s(n).\nAnswer: 2*n*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 76. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 10:29 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 15*t**2 - 13*t + 44. Let i be p(11). Suppose i = 34*m - 91. What is the greatest common factor of m and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 1. Let g(j) = -j**3 + 6*j**2 + 2*j + 1. Let k(a) = 3*b(a) - g(a). Let y(z) = z**3 + 6. Let r be y(0). Let h be k(r). Solve -3*q + 25 = h*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998*t**3 + 1907*t**3 - 518*t**3 - 393*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 4. Suppose 0 = 4*l - 2*l - 2*h - 22, -5*h = -4*l + 44. Let q = l + k. Solve 3 + q = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42903173 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -47) + (21 - 3) + 54 + -9 + 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 2\/9 (c) 5 (d) 1\/194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1068)\/(-1246)*(-56)\/3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.128910054 and -5145?\nAnswer: 5144.871089946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -5, -126.\nAnswer: -126, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -2\/23 (c) -127.197 (d) 3\/7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -3\/7, -79, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32420.04 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -209.\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-2) - (-279)\/(-45).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 5*u - 4*c, 4*u + 52*c + 282 = -0*u - 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4324195 - 31?\nAnswer: -4324226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001875044229 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -52. Calculate the remainder when 44 + z\/(-2)*-1 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b - 4*b + 4*b - 2*b + 4*b - b + (3 - 4 - 1)*(-3*b + b + 0*b) + 4*b - 2*b - b)*(0*b - b - b).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**5 + 13571*i**3 + i**2 + 1104*i - 70.\nAnswer: 200*i**3 + 81426*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274 - 274. Suppose f = 20*q - q - 64733. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*a + 62 - 27, -5*b - 3*a = -37 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/16 - (-1)\/4. Let q = 0 + l. Put 1, 3, q in ascending order.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 26*x**2 - 68*x + 18. Calculate m(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -1\/5*l**5 - 30*l - 2*l**4 + 0 - 6*l**3 - 8*l**2. Let j(r) = 0. What is r?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*15\/125*127\/(-254).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0108 - -3.9892. Let r = -3.3 - 0.7. What is the nearest to r in 5\/3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*a + 39, -13*a + 11*a - w + 33 = 0. What is the greatest common divisor of 126 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 287698*j + 863103.\nAnswer: -(j - 3)*(j + 287701)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 361.\nAnswer: 180.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 8*u + 10*u = 10, -540*f - 4*u + 28 = -538*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 65735570 to the nearest ten thousand.\nAnswer: 65740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - 0.9. What is the third biggest value in 1, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 23496426.\nAnswer: 23496425.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 208 = 2*g, 0 = -3*g - t - 0*t + 306. Calculate the remainder when g is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 1.5. Which is the closest to -0.2? (a) 6 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z + 10. Let f(k) = -3*k - 3. Let t(m) = -10*m - 22. Let x(c) = 15*f(c) - 3*t(c). Let l = -21 + 15. Calculate l*x(g) + 13*h(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 w when three letters picked without replacement from {x: 2, w: 5, d: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**4*d**0\/d)\/(d**(1\/5)\/d**(-2)) assuming d is positive.\nAnswer: d**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 4*g**2 + 3*g. Let l be b(3). Let p be (l + (2 - 0))\/(-1). Suppose 0 = -5*t + w - 4, -3*t + 2*w = 3 - 2. Sort 3, t, p.\nAnswer: p, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -431*y + 4185. Let u be s(9). Solve -u*a + 32 = -310*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6997a6 (base 11) to base 9\nAnswer: 2073023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 48. Suppose 15*h = 5*s + 20*h - 750, s - 158 = -5*h. Do l and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2300364*-0.1\nAnswer: -230036.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323466 - 34?\nAnswer: -323533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -74, -3 in ascending order.\nAnswer: -74, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 + 1)*(3*j - 3 + 3 + (-j - j + 0*j)*(-2 + 2 - 1))*(-300 + 97 + 106).\nAnswer: -1940*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -66. Let g be 3\/(0 + 1\/2). List the prime factors of 1\/6 + h\/g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v + 42. Let b be t(-12). Calculate the greatest common divisor of b and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-3) - 0)*3. Suppose 0 = -2*s - 6. Let q(f) = 7*f**2 - f + 4. Let k be q(s). What is the greatest common factor of k and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8701 + 10626. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8133 is divided by 339?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -138. Let j be (-42)\/98 + p\/14. Is 10 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26.63796 years?\nAnswer: 2.663796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*l**4 - 2*l - 7.\nAnswer: 276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d = 55*d + 968 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let p be c(1). Let f = 0.5 - 0.5. Let t = 0.3482 - 0.1482. Put f, p, t in descending order.\nAnswer: t, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 214 + 18*b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -129866 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669\/9 + 2\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -353*w - 439. Let p(s) = -2058*s - 2632. Give 6*p(o) - 35*t(o).\nAnswer: 7*o - 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 2*v - 7. Let a be s(-3). Suppose -3*i = -5*n - 30, a*i - 34 = 3*i + 3*n. Let k(z) = -z**3 + 5*z**2 + 5. Determine k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 2*d)*(5*d**2 - 5*d**2 + 2*d**2)*(-87 - 141 - 68).\nAnswer: -592*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1079225 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 267521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100222121022 (base 3) to base 4.\nAnswer: -233332331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 72559.8 millennia?\nAnswer: 725598","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -27, -69, -149, -279, -471?\n\"Answer: -2*a**3 - a**2 + a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-32)\/12)*(-63)\/91*1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(4\/((-80)\/30))*4\/(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0101 - 3724347?\nAnswer: -3724347.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -4556114?\nAnswer: -4556125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 + k + 54. Let q be (-6)\/(-27) + (-6)\/27. Let g be a(q). Suppose -50 - 23 = -4*m + 3*w, -2*m = 2*w - g. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 659, 14, 4, -2, -1, 1 in increasing order.\nAnswer: -5, -2, -1, 1, 4, 14, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*n - 9*s + 4*s, -n + 4*s + 4 = 0. Let k = 18 + 1. Suppose -2 = 3*i - 8. Solve -n + 0 = 4*q + 4*l, i*q + k = -5*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 56 + 1150. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2. Let s(t) be the third derivative of 0 + 4*t**2 + 1\/6*t**3 + 0*t. Let f(o) = o**2 - 3. Let v(m) = f(m) + 3*s(m). Give i(v(h)).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1994647428, 1994647433, 1994647440, 1994647449?\n\"Answer: q**2 + 2*q + 1994647425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:59 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16721*w + 229. What are the prime factors of p(-2)?\nAnswer: 11, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, y: 1, h: 1, x: 1}. What is prob of sequence eh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - n - 2*n + (n + 1 - 1)*(-1 - 3 + 3) - 7132*n - 1376*n - 4399*n.\nAnswer: -12912*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -0.713, -3, -0.7, -8, 0.03?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 94202060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvm when three letters picked without replacement from {c: 1, x: 1, v: 1, m: 2, z: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 15) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5) - 510\/7800*13)\/((-790)\/40).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:39 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*j + 86*j + 93. Suppose 0 = 34*o - j*o - 177. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1751596 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + (-558)\/(-2)*(-26)\/(-39) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1155\/(-2330) - (155\/5797*-34 - 18\/(-44)).\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/4 - 5*r**3 - 19*r**2\/2 - 23*r - 25. Let m be f(-14). Let b = 46 + m. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 6*u - 5. Let z(c) = -2*c**2 + 6*c - 5. Let t(i) = 3*o(i) - 2*z(i). Let r be t(-7). Differentiate -4 + b - b + 4*b**r wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:41 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuqqquuuuuuuuquqp. Give prob of picking 2 u.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117006\/7 - 16717. Find the common denominator of 75\/8098 and n.\nAnswer: 56686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*g*i*k**3 + 42*g*k**3 + 79*g*k + 3*g + 3*i*k**3 + 118*i*k**2 + 21*i*k - 13*i + k**3 wrt g?\nAnswer: -7*i*k**3 + 42*k**3 + 79*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*j*r - 2*a**2*j - 4*a**2*r - 6*a*j*r**2 - 22*j - 2 wrt r.\nAnswer: 2*a**2*j - 4*a**2 - 12*a*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1123*d**2 - 315*d**2 + 358*d**2 + 145*d**2.\nAnswer: -935*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25973 is divided by 3296.\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 32\/2)\/1 + -59 + 54?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l - 14. Let t be v(-5). Sort t, 5, 3, -3.\nAnswer: -3, 3, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6)*-1*-4))**2 + 0 + sqrt(20)\/(sqrt(12)\/sqrt(3)).\nAnswer: 5\/16 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o**6 + 1307*o**5 + 2*o**4 - 18870*o**2 wrt o?\nAnswer: 840*o**3 + 78420*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30075 + 38*q**2 - 6*q - 41*q**2 + 3*q.\nAnswer: -3*q**2 - 3*q - 30075","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1102 - -3269\/3. Let y = 376405 - 88831175\/236. Let j = y - -2\/59. Calculate the common denominator of j and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66.8 + -67. What is the smallest value in 1, 2\/9, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 5*a**2 + 4*a + 14. Let p be q(6). Suppose 0 = 2*v + 8 - p. List the prime factors of 1074\/18 - v\/9.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 327\/2, 5\/3 in decreasing order.\nAnswer: 327\/2, 13, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, g: 1, r: 1, n: 1, w: 1}. What is prob of picking 1 r and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*p = 1406*p + 9496 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2 and 27\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 4*q - 1. Let j be g(1). Is (32567\/(-87))\/(j\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 31*t - 31*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9 + 111 = 0. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 15. Suppose l - p = -l. Is ((-1338)\/4)\/(l\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -240.93 and 0.2?\nAnswer: -48.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053589173.\nAnswer: 3, 7, 13, 53, 72817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1237901, -1237900, -1237899?\n\"Answer: b - 1237902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l + 113. Let d be u(-22). Let q be (-1)\/(d\/(3\/(-1))). Solve -5*x - 4 - q = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) - 1956\/(-84). Suppose -5*j + 2*s + y = s, 5 = -j - 3*s. Let f = 19 + j. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.71 + 0.61. Let f = -12.59 + 50.29. Put k, 2\/11, f in ascending order.\nAnswer: k, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 14) to base 15\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426555 to the power of 1\/2, to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:09 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i - 2*i**2 - 2*i + 68*i**5 - 149 + 144 + 215*i**5 wrt i?\nAnswer: 16980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.3 + 287.6. Round g to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**6\/120 - i**5\/15 - i**4\/6 - 2*i**3\/3 + 2*i**2. Let k be w(-3). Let a be ((-21)\/(-18) + k)*-2. Which is greater: 2\/9 or a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m*q*u - 2851*m*q*w - 7*m*u*w - 6*m*u + 52*q + 27*u wrt w?\nAnswer: -2851*m*q - 7*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(153) + 1 + 5)**2 + ((sqrt(153) + -1 + 4)**2 - -5*1*sqrt(153)))*1 + -4.\nAnswer: 63*sqrt(17) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2786.110565 to 1 decimal place.\nAnswer: -2786.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 36*d**3 - d**4 + 0*d**4 - 5 - 41*d**3 - d**4 in the form v*d**4 + i*d**2 + r*d**3 + p + q*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 t when four letters picked without replacement from {t: 2, u: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 711 - 679. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/48*(-192)\/20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m = 50*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.08 - 0.08. Let h = i + -36.00000005. Round h to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 7)*(408*z - 56 + 54 + 42*z).\nAnswer: 3150*z - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 308\/31 + -5009\/682. What is the common denominator of 87\/1952 and c?\nAnswer: 21472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, 7, 4\/3, -3, 1\/5, 2\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2 + 2)*(-1 + 2 + 1 + (-1 + 6 - 3)*(-2 - 1 + 1)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7486\/(-6) - (-3)\/(-9). List the prime factors of 2\/(-11) + s\/(-88).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0827 and 2.\nAnswer: 2.0827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3 - 17*l**2 - 6*l - 25. Give p(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-5273)\/251 + 469\/7 + -47?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Let n(b) = b**2 + b. Suppose -4*r - 2*m - 2*m - 16 = 0, 2*r + 4*m = -18. Let h(z) = r*y(z) + 2*n(z). Let k(i) = -6*i + 2. Give h(k(f)).\nAnswer: 72*f**2 - 48*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9553506, -9553499, -9553488, -9553473, -9553454?\nAnswer: -9553431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:05 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -353, -309, -239, -131, 27, 247?\n\"Answer: 2*i**3 + i**2 + 27*i - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-10)\/2) + 0. Suppose -4*x - 3*g = 0, o*x = 2*x - 3*g. Factor -q + 2*q**4 + q**5 - q**2 - q**2 + x*q.\nAnswer: q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 2395 + 115 = 91*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.2513 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*w**2 - 63 - 4*w**2 + 63 + 26*w as k*w + y + l*w**2 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 7456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 11091347 - 122*f + 11091347.\nAnswer: -5*f**2 - 122*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (4*(sqrt(539) - (-1 + sqrt(539))) - sqrt(539)) - (1*sqrt(539) + -2 - 5*(sqrt(539) + -1)))**2.\nAnswer: -84*sqrt(11) + 4850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 18. Suppose -2*b + b - 3*f = 38, 4*b = -f - 108. Let n = 31 + b. Solve y - n = -t*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84117679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 16. Suppose -2*b - t*j + 34 + 196 = 0, 5*b - 3*j = 533. Suppose 29 = -4*z + b. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f**(-2\/7)*f**(5\/2)\/(f**(-1\/4)*f*f) assuming f is positive.\nAnswer: f**(-99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6777359\/1197 + -39639\/7. Let x = 6\/19 + o. What is the second smallest value in 3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4600*p**2 + 675*p + 14184782?\nAnswer: 9200*p + 675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/623 (b) 3 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804 (base 9) in base 10?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 65 = 2*b, 3*b - 5*r = -73 + 218. Calculate the highest common divisor of b and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 0 + 62\/12 + (-3)\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*u**3*y**2 - 2*u**2*y + 2*u*y**2 - 2243*y**2 wrt u.\nAnswer: 18*u**2*y**2 - 4*u*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l - 412*l**3 - 15*l + 28*l + 2 to the form a*l + o*l**3 + u*l**2 + b and give o.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p - 34 + 3*p + 6*p + 47 - 11*p**2. Determine i(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/((-3)\/(-6)). Let s(y) = -y**3 - 3*y**2 - 3*y + 3. Let d be s(i). Solve -d + 0 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 + 3. Let c be k(-7). Factor s**2 + 0 - s**3 - c*s**5 + 0 - 5*s**4.\nAnswer: -s**2*(s + 1)**2*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -57. Suppose -v*l - 1321 - 9 = 0. Let o = l + 603. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 2*z**2 - 1259 + 1258 - 3*z**4 + 8*z + z**3 to w*z**2 + c*z**4 + t*z**3 + f*z + n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 8*-1) + -3. Suppose -5*c - 6 = -2*c, 0 = 3*y + d*c - 395. Suppose -3*g - 6 = -51. Calculate the greatest common factor of y and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 1. Suppose 2*x + 2 = 4*x. Let y(t) = -4*t - 5. What is x*y(h) + 6*c(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09001511527 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let v be (1 - 2) + 6 + 1. Let r(d) be the first derivative of -d**3\/3 + 7*d**2\/2 - 12*d + 2. Let n be r(v). Give g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 295 = 263. Let t(v) = -10*v + 5. Give t(d).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24321 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, q: 1}. What is prob of picking 1 w and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037485 (base 9) in base 5?\nAnswer: 120303003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 149 in 0, 1\/8, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - d**2 + d + 2. Let x(c) = -c**3 - c. Let y be x(1). Let i be w(y). Suppose f + f - i = 0. What is the highest common divisor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -118*k**7\/15 + 3391*k**4\/24 - 960*k**2 + 1. Find the second derivative of w(n) wrt n.\nAnswer: -19824*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15478500 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0383946us to minutes.\nAnswer: 0.00000000063991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 - 1 = 0. Let c be 1\/(-4) + 155\/124. Put -2, 5, c, n in ascending order.\nAnswer: -2, n, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.0709, 3\/4, -1, 1\/2.\nAnswer: -1, 1\/2, 3\/4, 1.0709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/9 - (23 - (-1664)\/(-78))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277, -185, 202.\nAnswer: -277, -185, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11441 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -0.2517?\nAnswer: 1.7483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 4. Let g be k(-4). Suppose s + g*s + 8 = 0. List the prime factors of 4 - 1 - (s - -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:41 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14855 and 748692?\nAnswer: 3743460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-56)\/80 - (-1)\/2. Suppose -3*p = -7*p - 11*p. Sort r, 9, 3, p in increasing order.\nAnswer: p, 3, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19633518 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnwppnpppoownnnpwh. What is prob of picking 1 w and 3 p?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.77 from -0.02.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -885*d**2 + 515*d**2 - 29*d - 4 + 595*d**2 wrt d?\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 115271802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41c0d (base 14) in base 3?\nAnswer: 22001210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1040 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368217, 1473119, 3314631, 5892759, 9207509?\nAnswer: 13258887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - ((-53)\/(-3) - -5))\/(25\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -87*w + 0*w**3 - 25 + 1\/5*w**5 + 4*w**2 + 0*w**4. What is the derivative of n(d) wrt d?\nAnswer: 4*d**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - (sqrt(104) + (-2*(sqrt(104)*-1 - sqrt(104)) - sqrt(104)))))\/(sqrt(96)\/sqrt(3)) - (-3*(sqrt(1300) + 2)*-5)**2.\nAnswer: -293400 - 9001*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 - 4*v + 2. Let b be l(-4). Let s = 308\/5 + b. Suppose -3 = -q + 5*h, -q + 2*h = -0*q - 3. Sort -1, s, q in ascending order.\nAnswer: -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2 - 12 = 0. Suppose 0 = -w - j*w + 33. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a - 22*a - 12*a**3 + 13*a**2 - 2.\nAnswer: -12*a**3 + 13*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -509949 - 2?\nAnswer: -509951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l = -15, 3*f = -4*l + 175. Suppose 4*d = -d + f. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/9 + (312018\/54)\/17 is divided by 88.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 + -17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348844499.\nAnswer: 348844499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146040450 by -1135.\nAnswer: -128670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75036 >= 75024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a - 1 = -3*d, -5*a - 2 = -3*d. Let q be d\/(2\/(-4)) + -7. What is the nearest to 2\/5 in 5, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 137135, -4, -5 in descending order.\nAnswer: 137135, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 23*o + 25. Let j be g(22). Suppose j*t = -0*t + c + 34, 4*c = -5*t + 51. Let k = t - 11. Solve -2*n = k, 4*u = 3*n + 2*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.2. Let r be (-8 - -2)*3\/12. What is the closest to -0.1 in i, -5, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + 198*z**2 - 329*z - 11453. Determine k(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7159 - 718 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 242098*j**4 - 5*j**2 - 61*j - 19 wrt j.\nAnswer: 5810352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4736*a**2*p**3 - a**2*p**2 + 10*a**2 + p**2 wrt p?\nAnswer: 28416*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 5. Let s be 7\/3 + g\/(-12). Let n = -2 - -2. Solve s*t - 13 + 1 = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8773 and 10754.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) - (sqrt(720) + -1 + sqrt(720) - sqrt(720))**2*-1) - sqrt(720) - (sqrt(720) - (-4*sqrt(720)*-2)**2)) + (-2*-1*-2*sqrt(500))**2.\nAnswer: 53359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2368304437 - 64*r + 2368304437.\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5\/2 (b) -30\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 471*g**4 + 300 wrt g.\nAnswer: 1884*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20677\/15 - -1380. Calculate the common denominator of -23\/18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -63*m**2 + 5*m + 5. Let l(q) = -2929*q**2 + 232*q + 232. Determine -5*l(f) + 232*w(f).\nAnswer: 29*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2862 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 2. Let y(m) = m. Suppose -3*v = -0*v + 15, 23 = -4*r - 3*v. Let h be y(r). What are the prime factors of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 920434.5 litres?\nAnswer: 920434500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11323202112?\nAnswer: 11323202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/54*6795\/6. Suppose -2*n + 1010 = -x, 3*n + 4*x = 3*x + o. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 17\/8. Calculate the common denominator of v and -33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/365*2\/((-6)\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + 0 + (-27 - (-56 - -41 - 47)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.7, 0.02, -23, 0.08 in decreasing order.\nAnswer: 16.7, 0.08, 0.02, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -994.2879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.3 - -18. Let s = -1.7 - -1.1. Let p = m + s. Is p at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 3, x: 4, q: 6}. What is prob of picking 2 z and 2 t?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 600 = 5*i, 3*i + 5*p = 341 + 19. Let z be (30\/(-4))\/((-1)\/2). Suppose -z + 39 = y. Calculate the highest common factor of i and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1 - 0)\/((-13)\/63440000). What is b rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 22*f**3 + 5*f**2 - 2*f - 20. Let l be 21\/(-35) + (-66)\/(-10). Let h be g(l). Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84958.01007893 + 84901.01008. Let k = 2.4 - -54.6. Let p = k + a. Round p to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 1, u: 2, y: 1, r: 2}. Give prob of picking 2 u and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17730, -17731, -17732, -17733, -17734, -17735?\n\"Answer: -s - 17729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 14. Let u be (-3)\/(2\/(k\/1)). Let b = -6 - u. Calculate the lowest common multiple of 1 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/10)*y**1*y**(-3\/7)*y\/y**(-2)*y assuming y is positive.\nAnswer: y**(299\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15278\/3 or 5092?\nAnswer: 15278\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 14*f**2 - 2*f - 27. Let u be r(-14). Suppose 3*n - 7 + u = 0. Let p(y) = 8*y**2 + 5*y**n + 5 + 5*y - 14*y**2 + 4*y. Calculate p(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(228)\/sqrt(12))**2 - (((sqrt(19) + sqrt(190)\/sqrt(10))*-6 + sqrt(19) - sqrt(19)) + sqrt(19))*-5)*-1.\nAnswer: -77 + 59*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*k**3*p**2 - 2*c**2*k**3*p + 12*c**2*k**3 + c**2 - 1136588*c*k**3*p**2 + c*k**3*p + 9*c*k**2*p + k**2 wrt p.\nAnswer: 4*c**2*k**3 - 2273176*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 4*h - 11. Let y be -6*3\/(9\/(-12)). Suppose -t + l = -12, 4*t + 4*l = -t + y. What is the tens digit of o(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.099 and -12.39.\nAnswer: -12.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1699440 and 89240?\nAnswer: 39087120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 278.8. Let w = t - 278.93. Let r = -2 - w. Are r and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 10130387.\nAnswer: -14\/10130387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) - (-30)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 66220.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -142, -292, -442, -592, -742?\n\"Answer: -150*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7. Let m(g) = 3. Let u(t) = 4*j(t) + 9*m(t). Let a(n) = 4*n**2 + 137 - 48 - 43 - 43. Give -a(l) - 2*u(l).\nAnswer: -4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b + 51*b + 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 225.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3.02 * -0.05858\nAnswer: -0.1769116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2*f**5 + 3*f**5 - 2*f**5) + 3*f**5 + f**5 - 2*f**5 + (3*f**2 - 3 + 3)*(4*f**2 - 4*f**2 - 3*f**3).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111220 (base 3) to base 2.\nAnswer: 111110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.191551 to 3 decimal places.\nAnswer: 0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3 + 3*g**4 + g**3 + g**4 + 3 to u + c*g**2 + p*g**4 + v*g**3 + m*g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 698, 2517, 6052, 11873, 20550?\nAnswer: 32653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let o be (1\/l)\/((-2)\/(-4)). What is the second derivative of 0 - o*s - s**2 + 0 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(3136)*4)\/sqrt(7).\nAnswer: 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 451*d**4 + 1570 + 2*d - 1534 - 449*d**4 as z*d**4 + o*d + x*d**3 + p*d**2 + v and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 92616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8006701\/146 - 54840. Find the common denominator of ((-23)\/12)\/(1\/3) and v.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p. Factor v + v**2 - 3*v**2 + p*v**2 + v**2.\nAnswer: -v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 13. Let b be r(5). Factor 56*v**3 + 11*v**4 + 250*v - 6*v**4 + 4*v**b + 225*v**2.\nAnswer: 5*v*(v + 2)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**3 + 3*i**2 - 11*i + 5. Let t(p) = 4*p**3 + p**2 - 9*p + 5. Let m(a) = 5*b(a) - 6*t(a). Determine m(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 + 59*z**4 + 77401*z**2 + 464910*z - 1.\nAnswer: -40*z**3 + 708*z**2 + 154802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -478 - -508. Let k = 29 - o. Are 16\/39 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -1 + sqrt(80)).\nAnswer: -24*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1322, 2841, 4360, 5879?\n\"Answer: 1519*c - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492608 and 1088.\nAnswer: 8374336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -348892 (base 10) to base 9.\nAnswer: -581527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 7*l**2 - l + 3. Let v(n) = -3*n - 56. Let g be v(-21). Determine y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -32. Let s be 4\/f + 228\/44. Solve -i + s = x, 4*x - 3*i - 17 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*i - 27 = 0, 5*x - 10*x + 3*i = -22. Let t(m) = -5 - 4*m + 5*m + 1. What is t(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*o + 7 + 88*o - 7.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 + -2 + -60 + (-14 - -51)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(44) - (sqrt(36)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*q = -23, -11*y - 36 = -7*y - 4*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2305*u**2 - 9485*u - 1057. Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284732090 to the nearest integer?\nAnswer: 35843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 30 = 4*k + 5*p, 22 = -5*k - 3*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 390. Let u(q) = -97. Determine 2*d(t) - 9*u(t).\nAnswer: -2*t + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**9*h)\/(h*h\/(h\/(h*h**7))*h*h))\/(h**1\/(h*h*h\/h**12)))**(-2))**6 assuming h is positive.\nAnswer: h**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -43 + (13167 - 13030)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/260 + (-24)\/5. Let w(l) = 5*l**3 - 3*l**2 - 3. Let o(g) = 10*g**3 - 5*g**2 - 5. Determine a*w(z) + 3*o(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 167.8017 hours?\nAnswer: 6.9917375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(5)*6 - (sqrt(720) + sqrt(5))**2).\nAnswer: 12*sqrt(5) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/q**(2\/23))\/q*q*q**(1\/14))\/(q**(2\/7)\/q)**(-38) assuming q is positive.\nAnswer: q**(-7457\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 - 5. Let v = -15776.108 - -15681. Let l = i + v. What is l rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 710903?\nAnswer: 710903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 160079803 from 7.\nAnswer: -160079796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572971278 to the nearest integer?\nAnswer: 23937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 12*y - 5. Let h be q(4). Let c(u) = u**2 + 7*u + 6. Determine c(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117) - (1 + sqrt(117))**2)*-6 - (5*(0 + sqrt(1300)) + 5).\nAnswer: -32*sqrt(13) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 12*o**2 + o + 20. Let y be l(-12). Solve -3*s = y*s + 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + c**3 - 11 + 6 + 3*c + 6. What is the remainder when m(3) is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (sqrt(175) + 2)*2)**2 + sqrt(175) + (sqrt(175)*2 + 1)**2 + 3 + (-2 + sqrt(175) + 5)**2 + -5.\nAnswer: 175*sqrt(7) + 2474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13336523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3900 and 119925.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1276*k**2 + 5367*k**2 - 1291*k**2 - 2824*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 5, u: 4}. Give prob of picking 1 v and 1 u.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1, 52, -3 in increasing order.\nAnswer: -3, -2, 1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (35\/10)\/(-1))*10. Let b(q) = q**3 + 6*q**2 + 10*q + 35. Let h be b(n). Suppose 3*r - 18 = -2*j, -5*j + 41 = 5*r - 9. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-31*b - 4 + 2*b**3 + b**2 + 31*b) as j*b**3 + q + v*b**2 + r*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 322102?\nAnswer: -322033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*p + 32. Solve -3*k + 13 = 2*q, k + 1 = p*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12433852 divided by -6216926\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1. Let y(h) = -11*h**2 + 11. Let b be (-41 - -8)*(1 - 0). Let z(c) = b*k(c) - 3*y(c). Let g(l) = l**2. Determine g(z(u)).\nAnswer: 1089*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 - s**4 + 4*s**4)*(1 - 1 + s) + 31*s**5 - 32*s**5 - 28*s**5 + (0*s**3 - 4*s**3 + 5*s**3)*(3*s**2 + s**2 - 3*s**2).\nAnswer: -27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -21. Let x = 12.5 + m. Which is the nearest to -2\/5? (a) x (b) 1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -184*d**2. Let n(x) = -10120*x**2. Give 276*f(o) - 5*n(o).\nAnswer: -184*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 3\/7 (b) -5 (c) 24\/25 (d) -3 (e) 2\/415\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314732 times 0.2?\nAnswer: -262946.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}