diff --git "a/data/dm_maths/full_data_2/10994_11255.jsonl" "b/data/dm_maths/full_data_2/10994_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10994_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of 68*h**3*z + 10*h**3 - 5*h**2*z - 2*h**2 + 117*h wrt h.\nAnswer: 408*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let v(m) = -8*m + 1. Let i(f) = -4*c(f) - v(f). Let p(r) = r. Let g(s) = -i(s) + 5*p(s). Let q be g(6). What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/2 (b) -1.3 (c) -0.0106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50cb + 0?\nAnswer: 50cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2026, -15661, -52678, -124771, -243634, -420961?\nAnswer: -668446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6\/5))**27\/(l*l**(-1\/2)*(l\/l**(-20))\/l) assuming l is positive.\nAnswer: l**(-259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518095 = 3*z - 16*u + 1517923, -4*z - 4*u = 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(5) + 0)**2 + sqrt(5) + sqrt(5)).\nAnswer: 10*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*w + 18, 2*w - 9 = -1. Differentiate -o**2 - d - 1 + 1 - 1 wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + (-130)\/(-4). Suppose -40*s = -35*s + 4*k + 22, 0 = -s + 2*k + 4. Let j(c) = 6*c**3. Let n(x) = 96*x**3. What is s*n(v) + w*j(v)?\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -569, -854, -1139?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2116.2 - 2116. Sort -0.3, 1444, r in ascending order.\nAnswer: -0.3, r, 1444","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/((u**(7\/6)\/u)\/u*u))**(-2\/89)*((u*u*u**(-9)*u*u)\/u*u**(-1\/13))**(-5\/7) assuming u is positive.\nAnswer: u**(105010\/24297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371189.1 - -371341.2497. Let v = -112.8296 - h. Let t = v + 265. Round t to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) -0.04 (b) 0.04 (c) -184 (d) 0.5 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 4 - -2) + (0 - (44 - 90)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000415 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5*(-7 + (-29)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:19 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8991.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2 = -o. Suppose -o*g + c = 1, -4 = 5*g - c - 0. Let d(k) = 6*k**2 - k. What is d(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 24.75. Let o = v - 0.25. What is the nearest to o in -0.1, 3, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*z + 4*y - 2*y, 4*y - 40 = -2*z. Let f = 11515 + -11513. Calculate the greatest common divisor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 400, 872, 1534, 2386, 3428, 4660?\nAnswer: 6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpgdggdggdgddddgg. Give prob of picking 1 g, 1 d, and 1 p.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3*12\/24)\/(266\/(-1596))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 69 + 220 - 2*u**2 + (4 - 5 - 1)*(-3*u**2 + 2*u**2 + 0*u**2) + 2*u**2 + 0*u + 0*u in the form d*u**2 + h + s*u and give h.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148057550.\nAnswer: 2, 5, 31, 59, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 4*f, -2*f = -4*m. Sort 44, m, -3, -2 in ascending order.\nAnswer: -3, -2, m, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -36) + (-6 - 14)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -18) + 1*2. Suppose -6*r - 86 = 106. Calculate the common denominator of (-6)\/r*(-84)\/k and -127\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 7:15 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14 - s**3 - 5*s - s - 11 - 5*s**2 + 44 - 13. What is the remainder when l(-4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiqi. What is prob of picking 2 q and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 19*s - 42224 = 0. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*f - 3*f + 6 = 0, 4*q + 3*f = -8. Let k be 607\/11 + 22\/(-121). Let c = 331\/6 - k. Is c at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 - a + 7. Let l be 14\/(-49) - 30\/(-7). Let y be (-68)\/(-16) - (-3)\/l. What is d(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68\/(5*(-2)\/(-5))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 8, d: 4}. Give prob of sequence dw.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 1255.895.\nAnswer: 1255.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 15. Let z be 1 - (7 + a - -1). Let d = 17 + z. What is the remainder when 71 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-360)*16 - (-12)\/(-10). Let k be (-6)\/(-14)*(-28)\/(-32). Which is the closest to -0.1? (a) -2\/39 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1*(-1 + 0). Find the second derivative of -3*b + 3*b**4 + h*b**3 + 0*b**3 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + p - 18 = 0, -13 + 34 = 5*d + 2*p. Suppose -6*j - m = -5*j + 15, m - d = 0. Let z be (-6)\/j + (-34)\/(-6). Solve 1 = 5*b + z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*x + 915*x + 15 - 46 = -3*t, 3*x = 3*t + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 21678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2706453 meters?\nAnswer: 0.0002706453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*g + 230 = 114*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnh when three letters picked without replacement from nyqhr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 11. Let j(m) = -m**2 - 3*m - 3. Let h(g) = -3*g**2 - 8*g - 8. Let r(p) = -3*h(p) + 8*j(p). What is r(y(o))?\nAnswer: o**2 - 22*o + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 4*f - 4, -51 = 2*g - 3*f - 47 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*r - 58*r + 1352 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (-1 - -1) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4458 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 18*c - 15. Let s be g(17). Suppose 5*j + 7*u = s*u + 25, -u + 3 = 0. Determine f, given that 4\/3*f + 1\/3 + 1\/3*f**4 + 4\/3*f**3 + j*f**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = -4*v + 14, -2*v + 10 = r. Calculate the smallest common multiple of 78 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 10 - (1 + 19) - 0. Which is the third biggest value? (a) -4 (b) q (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 8\/5)\/((-339)\/(-565)). Let b = -17 - -29. Suppose 0 = -3*y + 3*s + b, -4 = -5*y + 2*s + 10. Solve -2*o = -r + f, 0 = -y*o - 3*r + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(3*(sqrt(176) - ((sqrt(176) + 0)*1 + sqrt(176)) - -4*-1*sqrt(176)) + 3) + -2)**2.\nAnswer: -8640*sqrt(11) + 1425744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let w(t) = -t. Give 4*c(n) + 9*w(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v - 1. Let a(n) = -3*n**2 + 9*n - 7. Let p(g) = -a(g) - l(g). Factor p(o).\nAnswer: 2*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/83 - 113\/830. Let t = 26 - 24. Let v = -0.02 + -0.98. What is the closest to t in v, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*q - 36 + 30, 2*z + 15 = -5*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2677075.\nAnswer: 5, 17, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 3*w, 0 = -5*r - 2*w - 0*w + 15. Suppose -h - 5*f + 16 = -f, h = -3*f + 13. Suppose k = 5*q + 10, -h*k + q + 2 = -0. Solve r + k = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21760 and 14552?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11350.94 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4140043412 (base 5) in base 3?\nAnswer: -121000210022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**6\/2 - 2*q**5\/7 + q**4\/28 - 29. Factor t(l).\nAnswer: l**3*(3*l - 1)*(7*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-21) - (-4)\/14)*-2. What is the third smallest value in 3, u, 5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 25.3, 5, -9, -1\/5 in descending order.\nAnswer: 25.3, 5, -0.1, -1\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 54, 37, 2, -57, -146, -271?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.87, 5, -1\/22, 257\/2 in descending order.\nAnswer: 257\/2, 5, -1\/22, -1.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2029, 0.1638, -1?\nAnswer: 0.1638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, 1 b, and 1 t when four letters picked without replacement from {t: 3, a: 2, u: 1, e: 5, b: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1. Let p(s) = -s**2 - 17. Let m(z) = 4*f(z) - p(z). Suppose 0*r = 2*r. Is m(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7)\/(-1*3\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56532287 to the power of 1\/2, to the nearest integer?\nAnswer: 7519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149785836 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 2\/9 (c) -1\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 360*o**3 - 2745*o**2 + 25070*o + 27456 = 0. What is o?\nAnswer: -352, -13, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:57 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, t: 2, e: 1}. What is prob of picking 1 t and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -55. Let x = 104 + -46. Let i = x - t. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 263*h**5\/20 - 47*h**4\/12 + h**2 + h - 93. Find the third derivative of w(l) wrt l.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r - 5. Let q be j(-11). Let a = -93 - q. Solve 2\/5*w + a + 6\/5*w**3 + 8\/5*w**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101121 + 2?\nAnswer: -3101113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3163 - 3192. What is the nearest to 2 in -2\/3, 0.4, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 12022102012002102?\nAnswer: 12022102012002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/14 - -2\/7. Let q = 54 + -53.772. Let n = q - 0.128. What is the closest to 5 in o, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = -0. Is o greater than or equal to -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12) - (-17)\/(-4). Let s(k) = k**3 + 3*k**2 - 3*k - 1. Let c be s(x). Is -4 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2214, 2203, 2180, 2139, 2074?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose 0*q + 2*i = j*q + 10, -2*q - 2*i = -10. Solve 3*n - 2*n + 3 = q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.059 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/23 in -27, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = 3*a, 4*v = 3*a + 6 + 2. Suppose -2*f + f = a. Suppose 2*x = -q + 79, 0 = 3*q - f*x + 4*x - 237. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from aauaqqau.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113519670 + -3405982643\/30. Let k = b + 13083. Find the common denominator of k and -149\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1626579\/6*1\/(-2))\/(6\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2548 and 7610?\nAnswer: 9695140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069374 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + (-2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4576054 and -14.861.\nAnswer: 4576039.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 9, -40\/11, -4, -1 in descending order.\nAnswer: 9, 0.8, -1, -40\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-128)\/(-6))*(76\/1938 - 108\/153).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 657973016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 83. Let y be v(-9). Solve 0 = 4*z - y*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 17 + 6)*(4*x**4 + x**4 - 4*x**4).\nAnswer: 39*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1426?\nAnswer: -5704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 8*x**2 + 6*x - 2. Let y(z) = z**3 + 7*z**2 - 6*z + 1. Let t(p) = 2*f(p) + 3*y(p). Let b be t(-6). Is b > -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 4, 0.04, -2\/5, 7356?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114763 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by -101.\nAnswer: 380\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 458699712 divided by -12?\nAnswer: -38224976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 156\/10 + 6\/(-10). Let c(a) = -a**3 + 16*a**2 + 17. Calculate the remainder when c(t) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3223 + -1030?\nAnswer: -4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17011 + 17010.53232. Round f to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 3, -32, -5, 5, -19 in decreasing order.\nAnswer: 5, 3, -5, -19, -29, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 23*a - 22. Let k be p(-22). Suppose m + 4*m - 190600 = k. Let h = m - 60820. What is h rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2 and -105\/20128.\nAnswer: 20128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = -4*d + 20, -d + 5 = 4*r. Let a(n) = -2*n**3 + 18 - 17 - d*n**2 + 3*n - 3*n**3 + 4*n**3. What is a(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/24)\/(1\/(9\/3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/217 + 7597\/434. Calculate the common denominator of 11\/16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 1. Let r be l(1). Let j be (-286)\/66 + 1\/r. Let z(s) = -s**2 - 4*s - 2. Calculate z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 3*n**2 - 3*n + 2. Suppose 2*h + 5*f = 10, f - 1 = h + 2*f. Let o be z(h). Calculate the least common multiple of 5\/(-20) - o\/4 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/2*(-4149)\/(-49788).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42640 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 + 92*i + 624 = 0.\nAnswer: -6, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -329 + 2d5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20232011 - 221?\nAnswer: -20232232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416754049?\nAnswer: 31, 1213, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 757, 3062, 6897, 12256, 19133, 27522?\nAnswer: 37417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 5*w**3 - w**3 - w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*m - 2786 = 0, -1852 = -2159*j + 2157*j + 4*m. What is the highest common factor of 100 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -11 (c) 78 (d) 5\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111362 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o + 5*o + 5*o + 2. Let n be g(2). Factor -2*d**2 - 2\/5*d**n - 8\/5*d**3 + 0 - 4\/5*d.\nAnswer: -2*d*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.242 and 61247100301?\nAnswer: 61247100301.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82141 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-9)*(0 - (-3)\/(-4)). Let j be (0 + 2\/(-10))\/(-1). Sort 5\/3, 3\/2, j, x.\nAnswer: j, x, 3\/2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 2*u + 58, 5*u + 65661 = -7*q + 65501 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -32925 + 32925 + 14*p in the form i*p + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/7075374 and -89\/36.\nAnswer: 42452244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 + 7 + -16 - -2)) + -1 + 22.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-15)\/(-6))*49\/(-490). Which is the closest to 6? (a) h (b) 1\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 57*y**2 + 5 + 58*y**2.\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33258 - 33071 - 16*x + 66329.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4518.002001 + -4518. Round t to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 974884 and 6777?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/3 in 29914, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344.479 - 0.434?\nAnswer: 1344.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -95414 rounded to the nearest 100?\nAnswer: -95400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/60 - 7*w**5\/60 - 2*w**3\/3 - 4*w**2. What is the tens digit of a(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33414727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 105.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693735 divided by -19821.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29069, 29705, 30363, 31055, 31793, 32589, 33455, 34403?\n\"Answer: 2*w**3 - w**2 + 625*w + 28443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 30 + 20)*(-1 + 1 - i + (4 - 5 + 0)*(0*i + 3*i - i) - 4 + 4 - 2*i + 0 + 0 - 2*i - 7 + 3*i + 7).\nAnswer: -248*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 136\/(-6)*(2 - 65\/10). Let f = r - 62. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 627 and 15883506?\nAnswer: 174718566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r - 12. Let b(d) = 3*d**2 + 4*d + 5. Is b(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88 - 5*v**2 + 93 + 2*v**2 - 181 + 13*v in the form y*v + r + l*v**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14321300 - -1?\nAnswer: 14321301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363157*m*r**2 - 366*m*r + 5*m + 8*r + 1 wrt r.\nAnswer: 726314*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 8*v - 12. Let l be p(-5). Which is the nearest to 2\/3? (a) 2\/5 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35227, -140843, -316843, -563227, -879995, -1267147, -1724683?\nAnswer: -2252603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 5:48 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-1\/4)*s)**26*(s**(-2\/5))**(-1\/6))**(-1\/6) assuming s is positive.\nAnswer: s**(-2927\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.8 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + s - 14, 0 = -s + 3. Let t(q) = q**2 - 13*q - 8. Let c be t(11). Let a = -8 - c. What is the highest common divisor of v and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18264.852 months in decades?\nAnswer: 152.2071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-11 - -5) - (8 - (-32 - (1 + -3)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-24)*6*(-20)\/(-345).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-27 - (-9 - 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 4985*w**2 + 121500*w.\nAnswer: 5*w*(w - 972)*(w - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - (9 - (26978 - (8 - 5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021 is divided by 176?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c - 1. Let y be s(-1). Solve y*l = 5*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172*u + 82?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**4 - b + 1. Let n(a) = 11*a**4 - 6*a + 5. Let t(w) = n(w) - 5*p(w). Find the second derivative of t(v) wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(245) + 1) + (1 + 1*sqrt(245) - sqrt(245)) + (0 + sqrt(245))*1 + 3 + -1)**2.\nAnswer: 42*sqrt(5) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, -480, -510, -552, -606, -672?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 98960.\nAnswer: 98960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:22 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6884975 by -275399.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827*m - 1052*m = -1125. Suppose 2*t = -2*t. Solve -m*x + 1 + 14 = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + c = -4, -7*c + 2*c - 20 = 0. Suppose r + t*r = 0. Let g = -370 - -367. What is the closest to g in 0.2, -3\/5, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z. Let o(b) = -4*b. Let f(w) = 21*o(w) - 5*v(w). Let i(s) = -2*s**2. Calculate i(f(u)).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 - 4*o**2 + 5*o + 11. Let v be m(-9). Let y = v - 1919. Suppose 9*t - y = -441. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.9897 hours in minutes?\nAnswer: 8519.382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - m + m + 2*m - 4*m + (6*m - m - 3*m)*(2 - 3 + 2) - 3*m + 0*m + 5*m)*(-m + m + 2*m**3) + 16*m**4 + 68*m**2 - 68*m**2.\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.534 - 0.436. Let n = w + -0.03. Which is the smallest value? (a) -0.1 (b) n (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c - 2. Let n(z) = z**3 - 7*z**2 + 6*z. Let o be n(6). Let g be v(o). What is the units digit of 64\/12 + g\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19741278 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*g + 101*g - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 81, 177, 345, 609, 993, 1521?\n\"Answer: 4*r**3 + 20*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 605055 divided by -55\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-6)*(-1 - 8). Suppose 0 = 17*h - 12*h - u. Let s(i) = 4 - 6 - i - h. What is s(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1103725 and -24\/10375015.\nAnswer: 51875075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 8519032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*a + 3507, -1 = v - 5*a + 1162. Let g = v - -1996. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -7*s**5\/5 - 4*s**3 - 4*s - 175. What is the third derivative of z(v) wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n - 23920 = -19*n. Let g = 5820 - n. Round g to the nearest one hundred.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l + 7. Suppose 0 = 3*q - 6 - 0. Solve -14 = l*c - q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210436997?\nAnswer: 257, 818821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -200, -456, -814, -1274, -1836?\n\"Answer: -51*j**2 - j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-3))\/m)*m**(-4))\/((m\/(((m**(7\/3)*m)\/m*m)\/m*m*m*m))\/m**(-10)) assuming m is positive.\nAnswer: m**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*1*sqrt(117) + ((4 + (sqrt(52) - sqrt(208)\/sqrt(4)))*6)**2.\nAnswer: 12*sqrt(13) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 - 771*l\/4 + 96.\nAnswer: 3*(l - 128)*(2*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/(-44))\/((-3)\/528). Suppose -250*t + 258*t - k = 0. What is the remainder when ((-32)\/(-2))\/((-2)\/(-4)) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46213*f**3 - 5922*f**2 + 1 wrt f?\nAnswer: -277278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 410, -4 in decreasing order.\nAnswer: 410, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -1 + 1\/2*d**2 + d**3 + 2*d. What is the remainder when a(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2696 - -2?\nAnswer: -a2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:54 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.978 rounded to 1 dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 338, 518, 698, 878, 1058?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7046.00000022 + -7046. Round v to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-14)*(l*l*l**(-3)*l)\/l)**30 assuming l is positive.\nAnswer: l**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + -355?\nAnswer: -2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094074179?\nAnswer: 3, 11, 33153763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000 less than -1063470?\nAnswer: -1060470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Let p(l) = -399*l - 22. Calculate b(p(a)).\nAnswer: 159201*a**2 + 17556*a + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -59\nAnswer: 3186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 3, -0.14, 2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ccaacaa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**4\/4 + 8*m**3\/3 - 7*m**2\/2 + 2*m + 107. Suppose -16 = -5*x + 5*o - 1, -3*o + 40 = 4*x. What is p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.024 in -0.17, -37, 0.5, -107?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1036036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(((-11054628)\/104)\/(-207) - (-1 - 7)).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/39)\/((-15)\/195) + 8. Sort -19, -11, d in increasing order.\nAnswer: -19, -11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267028 is divided by 180968?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -23*x - 67. Let z(m) = -8*m - 22. Give -6*a(n) + 17*z(n).\nAnswer: 2*n + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -36*t + 56. Sort 3, 7, t.\nAnswer: 3, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (-4 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*l = 25, -4*f + 2*l + 8 = -16. Let s(k) be the first derivative of -k**4\/4 + 2*k**3 + 9*k**2\/2 + 178. Determine s(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23733 less than 468?\nAnswer: 24201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + 52. Determine t(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13073, 26139, 39207, 52277, 65349?\nAnswer: 78423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 equal to 661\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-25 - -17) + 8 + -45?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*d**2 + d*m + 2386*m - 2 with respect to d.\nAnswer: -152*d + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 15*g**2 + 15*g + 15. Let f = 14 - 28. Let d be n(f). What is the biggest value in d, -3\/8, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**11*s)**(-35) assuming s is positive.\nAnswer: s**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 279 = 2*g, 10*g - 7*g - 3*v - 441 = 0. What is the highest common divisor of g and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 308 = 30*h. Let l(b) = 2*b**2 + b + 1. Let p be l(-4). Let c = h + p. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g + 6 - 6)*(-1 - 3*g + 1)*(4 - 2 - 1) in the form h*g + m + u*g**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h + 2*h - 15*h)*((h**2 + 0*h**2 - 3*h**2)*(2*h - 2 + 2) - h**2 + h**2 + h**3 - h - 2*h**3 + h) + (-4*h**2 + 6*h**2 + h**2)*(-6*h**2 + h**2 + h**2).\nAnswer: 93*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 6, a: 4, t: 3}. Give prob of sequence tr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3617.\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 24 = -0*d. Let b = -63 - -70. Suppose -4*w + b = -9. Solve 0 = 5*x - 3*a + 17, d = -x - w*a - 0*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88209 and -0.02.\nAnswer: -1764.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 8:48 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 34*y + 276. What is b(-17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Let g(j) = j + 7. Let h(y) = -y - 8. Let v(n) = 5*g(n) + 4*h(n). What is v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2317462254?\nAnswer: 2, 3, 128747903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 30*u - 33. Let t be r(6). Factor -1\/2*w - 7\/4*w**2 + 0 - 5\/4*w**t.\nAnswer: -w*(w + 1)*(5*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-99)\/(-4))*2\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/585*(1\/(-4) - (-82)\/(-88)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -134. Let b(y) = -y**2 - 72*y + 8290. What is the remainder when b(-132) is divided by v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.7 - 65.3. Let k = d + 70.00000062. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 12. Let i be b(3). Let k be (((-60)\/(-8))\/(-5))\/((-3)\/i). What is the units digit of 706\/6 + ((-15)\/k)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 - 7\/3*x + 2.\nAnswer: (x - 6)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -619 + 616. Which is the closest to o? (a) 0 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 128?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5188 is divided by 1361.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, w: 6, t: 2}. Give prob of sequence an.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -305, -307, -309, -311?\n\"Answer: -2*o - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-16\/3))**(-4\/19))**(-3\/19) assuming c is positive.\nAnswer: c**(-64\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 11*s**2 + 11*s - 9. Let b be a(-12). Let y be -4 + b + 135 - 1. Suppose -y = -8*d + 75. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -338385407*p**2 + 75686517*p?\nAnswer: -676770814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 402*o**4 - 168*o.\nAnswer: 4824*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -799\/4 + 202. What is the common denominator of u and 114\/216 - (-2)\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.826 + 9.426. Which is the third biggest value? (a) -0.3 (b) z (c) 14 (d) 7 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + 0 + -25 + 9. Let n(w) = -26*w + 14 + 26 - 16. Let h(q) = 27*q - 24. Let l(b) = c*h(b) - 3*n(b). What is the derivative of l(x) wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 165876177 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 7*c + 6. Let l be d(6). Suppose l = 2*p - 3*p + 18. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*x + 0*x + 177 = 0, u = 5*x - 78. Let v = -57 - u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40858, 81633, 122406, 163177, 203946, 244713?\n\"Answer: -h**2 + 40778*h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-92)*((-168)\/(-18))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 313?\nAnswer: 30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/504 - 478*g**7\/315 - 959*g**6\/180 - 16*g**5\/3 + 6*g**2 + 212. Factor t(j).\nAnswer: 2*j**2*(j - 480)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002163431 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 199 + 31. Suppose j - i = 4*p + 5*j, -2*j = -2*p - 26. Let t(q) = -q**2 - 18*q - 14. Let d be t(p). Solve -12 = d*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335349 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 21*h + 3. Let c(b) = 43*b + 7. Suppose -614*k - 1162 = -33*k. Calculate k*c(x) + 5*z(x).\nAnswer: 19*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2*sqrt(80) + -3 - 6*1*sqrt(80))**2 - ((sqrt(80) + -1 + 4)*4*-3)**2)*-6 + -3.\nAnswer: 20304*sqrt(5) + 72519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 18. What is the smallest common multiple of 10 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1\/(1\/2))*(-11396)\/21756?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 397 = -27*s + 24*s, -g + 194 = -3*s. Calculate the smallest common multiple of g and 2.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 8)*(4 + 9 - 1)*(-10*i + 9*i + 17*i) - 17 + 17 + 6*i.\nAnswer: 2118*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 12) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497738 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, o: 3, n: 1}. Give prob of sequence dd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 451234688 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from krkrkrkrkgkkkrg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -178*c - 6602. Calculate n(-37).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r - 266. Let g(z) = -13*z + 168. Let o(h) = 5*f(h) + 8*g(h). What is o(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/10 + (-158)\/40)*-108 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20*v + 207. List the prime factors of j(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/15 and -33\/250.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*k + 0*k = 5, 0 = n + 4*k + 8. Let a(y) = y**3 - 5*y**2 + 6*y - 3. Let v be a(4). Solve p + n*p = -v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v - 395. What is x(-10)?\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 3*a = 4*a. Suppose 2*x - 174 = 2*i, a*x + 3*i = 2*x - 178. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94940 and 2515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10113108?\nAnswer: 2, 3, 842759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -104, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18450575 and 5031975.\nAnswer: 55351725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -186. Let o = 1835\/327 + 6\/109. Is o greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173857\/54 - -6435\/2. Calculate the common denominator of -53\/54 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = -20. Solve -5*j - 16 = -2*u, 5*u + 3*j = l*j + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from rhpwwrcrhrchhrr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 192268.4018 rounded to the nearest 100?\nAnswer: 192300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 0 (c) 63 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51278\/11 + -4657. Let u be (-2)\/7 - 136\/(-574). Let d = u + -113\/205. Calculate the common denominator of s and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264.034 - -264. Let t = 0.004 + k. Which is the smallest value? (a) 2 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*o**3 - 1012782*o**2 + 1012782*o**2.\nAnswer: 118*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4769.\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1665642 + -4?\nAnswer: -1665646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q - 4. Let b be (40\/(-16))\/(40\/(-64)). Let r(u) = -u**3 + 2*u**2 - 7*u - 7. Determine b*r(p) - 7*j(p).\nAnswer: -4*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 8. Let u(h) = -h**2 - 1. Let w(p) = c(p) + 8*u(p). Let i(f) = 5*f. Give w(i(b)).\nAnswer: -150*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*g - 4433 + 8436 = 6028 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 12. Suppose 5*y - i*t - 26 = 29, -2*t + 62 = 5*y. Calculate the highest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) - 2*sqrt(209) - sqrt(209)) - (sqrt(209) + (sqrt(209) - 2*(sqrt(209)*-1 + sqrt(209)) - sqrt(209))))\/(sqrt(121)\/(-1*1*sqrt(11))).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14003 + -42?\nAnswer: -14100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8467492.\nAnswer: 2, 11, 53, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2147, -3438, -4645, -5726, -6639?\n\"Answer: 7*y**3 - 1340*y - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -161. Let o be 50*((-2)\/(-9) + 35\/n). Solve 0*y + 5*y = o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*(55\/(-15) + 3). Sort 5, 0.2, q, 5\/4 in decreasing order.\nAnswer: 5, 5\/4, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55a4 (base 14) to base 16.\nAnswer: -39fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (-2 + -2)\/((-4)\/16)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:38 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 683 + -682.999999297. What is g rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*v + v. Let m be (27\/(-18))\/((-9)\/30*1). Suppose 2*a - 4*a = 5*y + m, -3*y - 15 = 0. What is the least common multiple of a and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/(-756) + (1 - 1)*1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)\/w)\/w*w**(-15)\/w assuming w is positive.\nAnswer: w**(-232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1357650*p**2 - 4*p + 4. Let h be n(-2). Suppose h - 1014612 = 16*r. What is r rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.5, -3, -0.1?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 23*j - 4601 = 0. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 (base 14) to base 12\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1219 - 38537*c - 336 + 38535*c to u + g*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66025 and 11875.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 2*p)*(2 - 22*p**2 + 22*p**2 - p**3).\nAnswer: 2*p**4 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 17*m - 49. What is c(15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1382 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/276*(-140)\/1225*1.\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*s - 19, -5*x + 5*s - 21 = 3*s. Suppose -2*q - q = 0. Let m(n) = -8*n + n - 6 + q*n**2 - n**2. What is m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 34*t**2 + 18 - 2*t**2 to j*t**2 + m + u*t and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 6*w**2 + 8*w - 3. Let m be d(6). Calculate the common denominator of 65\/6 and (606\/m)\/(8\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6134.712um in kilometers?\nAnswer: 0.000006134712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/9)\/((-90)\/351))\/(126\/630).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose l - 6*l + 20 = 0. Let m(h) = -2*h**3 - 2*h**2 + 2*h + 3. Let v be m(-2). Solve r - g = 0, -t - 4*t = -l*r - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195962219?\nAnswer: 19, 157, 179, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zfzhfghps.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 991004\/91 - 76\/494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 - 24*r**3 + 4*r**3.\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 199 - 81 = 0. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*x**3 + 562*x**3 - 1730*x**3 + 570*x**3.\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7564, 29084, 64580, 114058, 177524, 254984?\n\"Answer: p**3 + 6982*p**2 + 567*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-287 + 46 - 209)*(-4*m**2 - 3*m**3 + 4*m**2).\nAnswer: 1350*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/(((-15)\/4)\/15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129259452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 30 (c) 0.02 (d) -3.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 33*p**4 + 32838*p**3 - 464583*p**2 + 1631700*p = 0.\nAnswer: -11100\/11, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -870 + 334 + 311 - 6*m + 401. Determine y(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.79 rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymgp when four letters picked without replacement from {p: 2, r: 2, g: 2, y: 5, m: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 13 + 14 = 0, 0 = -z + 5*w - 7. What is the second biggest value in -0.05, z, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-10) + 423\/5. Suppose w = 4*u - u. Does 9 divide (-708)\/(-28) + (-8)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.091 - -31.691. What is the fourth smallest value in 0.2, 2, 8, k, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1875902, -1875900, -1875898, -1875896, -1875894?\n\"Answer: 2*g - 1875904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2964*u - 164576 = 1780*u for u.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:15 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2995 * -5.\nAnswer: 14975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 735689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, c: 2, t: 2, o: 2}. Give prob of picking 1 y, 1 o, and 1 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.023294*-0.1\nAnswer: 0.4023294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 169*p + 5\/42*p**7 + 1\/6*p**6 + 5\/4*p**4 + 0*p**2 + 0 - 5\/4*p**5 + 0*p**3. Find q, given that o(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 - 324*c**2 - 6180*c - 11088 = 0. What is c?\nAnswer: -84, -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81\/2 of a millisecond?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (5*1*sqrt(156) - sqrt(156)))\/(sqrt(12) - sqrt(588)*-1).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 631 + 6 + 18 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - -3.89. Let t = -844.4 - -844. What is the second biggest value in -5, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3, -1217 in ascending order.\nAnswer: -1217, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsf when three letters picked without replacement from xsfxsffsssfxf?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 7*r - 93, -3*q + 1941*r - 74 = 1940*r + 43 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3, 5, -214 in increasing order.\nAnswer: -214, -3, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 12*q**2 + 15*q - 26. Let v be x(13). Suppose v = 2*p + 4*f - 87 + 17, 5*p - 180 = -5*f. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 17 = 3*w + 48, -5*b + 2*w = -58 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 59?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Let a = -1 + 6. Solve i + 8 = a*g, -g - 6 = -t*i + 2*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2091474 and 191\/2091474?\nAnswer: 2091474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/(99\/(-2)))\/(1\/((-33)\/(-1))). Sort 4, 2, 1, o in decreasing order.\nAnswer: o, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 = 4*b. Suppose -7 = -f - 3*w, -4*w - b = 4. Let y = f + 11. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-2 - 5\/(-2)). Find the third derivative of 5*n**2 - 4*n**w + n**4 - n**2 wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-32)*(-3 - 5067). Let v = g + -2840. Calculate the common denominator of 3\/27*(-2 + 158) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + -2 + (245 - 580) + 260.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38317401247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/15 + d**5\/12 + d**4\/4 + d**3\/3 - 23*d**2. What are the prime factors of o(-2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 146.6. Let p = 59.6 + t. Which is the third biggest value? (a) -0.09 (b) p (c) 1\/6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 967 = 1139. What is the greatest common factor of z and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)\/(7 - 8). Let z(a) = -a**2 + a - 9. What is z(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.3. Let j = -0.39 - -1.39. Let h = -12 - -7. Which is the nearest to j? (a) 0.3 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 1 - (55 + -54) - (-31 - 20)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 1, c: 1, l: 1, g: 1, h: 2}. Give prob of picking 1 l, 2 h, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 10701166 and 10701165 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -337 + 333. Let k(a) = 8*a + 7. Let x(y) = 7*y + 6. Let i(p) = -p**3 - p**2 + 4. Let t be i(0). Let c be 2\/t*(-3 + 13). Give c*x(z) + d*k(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/4*6\/8)\/((-414)\/(-2127408)*-188)?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/37? (a) -2\/17 (b) -19 (c) 440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldd when three letters picked without replacement from dldl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62226 + -2?\nAnswer: 62224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3860*h**4 - 3657 with respect to h.\nAnswer: -15440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/(-210))\/((-9)\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let m(i) = -20*i**2 - 12. What is b(m(u))?\nAnswer: -800*u**4 - 960*u**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d - 3. Let v(j) = 9*j - 2. Let y(b) = -4*l(b) + 5*v(b). Let n = 8 - 4. Let h be y(n). What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 53\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -762 + 761.99266. What is x rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from deeeeeeea.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 718755?\nAnswer: -3\/239585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235 a factor of 4559400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/220 and -67\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-7)*2*(26 - 5). Let g(h) = -h**2 - 4*h + 16. Give g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18*12\/288)\/(1\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*p**4 - j*p - 8881*j - 3*p**3 - 31*p**2 wrt p.\nAnswer: 8*j*p**3 - j - 9*p**2 - 62*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 smaller than 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:32 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -45.4. Let h = -5 + s. Put -3\/2, h, 2\/5 in decreasing order.\nAnswer: 2\/5, h, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**7\/210 + a**6\/120 + 3*a**2\/2 + 3. Let s(f) be the second derivative of o(f). Solve s(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17493\/729708)\/((-21)\/6*1)?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8))\/((-1)\/(-10)). Suppose 87 = -2*k + m*k. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1371*y**2 - y. Let o(b) = 5645*b. Give u(o(q)).\nAnswer: 43688320275*q**2 - 5645*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 8) + 2 - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45100 - 4?\nAnswer: 45085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 120*h + 308. Calculate the least common multiple of 92 and q(-62).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-6) + (-602)\/43.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 21435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 95, 211, 373?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-48) + (-28)\/(-6) - -2. Suppose -78 - 18 = -h*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12608 and -710.638.\nAnswer: -13318.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -3*h, 0 = -5*m - 2*h + 407. Let n = m + -40. Calculate the remainder when n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i + 21. Let n be p(-2). Suppose -n*w = w - 24. Suppose 6*m = 4*m + x + 5, 3*m - 2*x = 6. Sort 1, 12, w, m in decreasing order.\nAnswer: 12, m, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-3))\/(2\/6). Let a be 12\/(-15)*25\/(-2). Suppose 7*s - 2*s + 4*g + a = 0, s - 4*g = 22. Sort 0.1, c, s.\nAnswer: c, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 3 (b) 3.5 (c) 4 (d) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 14*w + 1. What is a(12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 92553*g + 185098*g - 92545*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25033 or 26444?\nAnswer: 25033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (303\/(151500\/(-23600)))\/((-4)\/(-10))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 9 + 8 - 1 + 50*r in the form j + l*r and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51995509844789 take away -4?\nAnswer: 51995509844793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 209 by 63.\nAnswer: 209\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/7 - 103\/28. What is the common denominator of d and ((-3)\/(12\/(-25)))\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2421*-6.84\nAnswer: 16559.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2))\/s)**(-38))**45*(s**8*s**6\/s*s)\/(s*s**(1\/5)*s*s**3) assuming s is positive.\nAnswer: s**(17144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 3*h**2 - 9*h - 6. Let g be 7 - 4 - (-2 + 0). Let o be y(g). Which is the smallest value? (a) o (b) 6 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, p: 8}. What is prob of sequence pbb?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmmzmmmmmmmmmmmm.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/9)\/k*k**11*k*k)**(-49)*((k*k**(2\/21)\/k)\/((k*k\/(k*k**(1\/2)*k*k*k))\/k))**34 assuming k is positive.\nAnswer: k**(-31744\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -7866741.\nAnswer: 2360022.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 92. Determine j(62).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 6. Let o be c(-4). Suppose 2*k = 5*k + 6. Let a be 3*k\/o - 1. Solve j + 2 + 2 = a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*9.6\nAnswer: -105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 20. Let b(f) = 17*f - 45. Let p be b(3). Suppose -p*g + m = -g. Sort -2, 0, g in increasing order.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -214 - -bc0b9?\nAnswer: bbba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*n + 99*n - 63*n)*(6*n**2 + 14*n**2 - 3*n**2).\nAnswer: -289*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 10*d - 4. Let x be f(-4). Solve 0 = 5*b + x*a + 8 + 1, a = 4*b + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 3 + 0 + 5 + (1 + 2 - 1)*(-2 + 2 + j**2) + 2*j - 2*j + j**2 - 4*j**2 - j**2 + 4*j**2.\nAnswer: -j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:06 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 2870?\nAnswer: 66010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1859\/4697 + 3 + (-24)\/7. Let k be (-1 - 0)\/((-1)\/(-1)). Is k bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Let o(l) be the second derivative of -5\/48*l**4 - 1\/80*l**5 - 9*l + 0 - 1\/4*l**3 + 0*l**2. Factor o(n).\nAnswer: -n*(n + 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**5\/20 + 7*a**4\/12 - 2*a**3\/3 - 4*a**2 - 100*a - 43. Let d(v) be the first derivative of n(v). Determine d(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 + 2 = 0. Suppose -5*s = -s - n*l - 86, 3*l = -5*s + 102. Let t = 3939 + -3937. Is t at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 3*x - 2. Let b(l) = -4*l**2 - 2*l + 3. Let s be 4 + (-7 - (-7 + 2)). Determine s*b(k) + 3*g(k).\nAnswer: k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9821, -19625, -29437, -39263, -49109, -58981, -68885, -78827?\nAnswer: -88813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:55 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 < 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 53*m**4 + 30*m**4 - 3*m**2 + m + 27*m**4 to the form p + h*m**3 + c*m**4 + l*m + a*m**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344105193 and 11195?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11111 - 14.47273238\nAnswer: -11125.47273238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-990)\/(-1232) - (-3)\/(-8)*(0 - -1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(3\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059.615 centuries in decades?\nAnswer: 80596.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125\/6 at most 2235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(234)*1)\/(sqrt(90)\/((sqrt(10) - (sqrt(90) + sqrt(10))) + sqrt(10))))\/((sqrt(576)\/sqrt(6))\/(sqrt(432) - -1*sqrt(432) - sqrt(432))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6006 and 37454274?\nAnswer: 262179918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -169567 divided by 994?\nAnswer: -169567\/994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:15 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:48 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/77)\/((-23)\/46)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Let j = y - 3.96. Let r = -3.04 + j. Which is the smallest value? (a) -4 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + sqrt(117) + 5 + -2 - (sqrt(117)*1*5 - 5*(sqrt(117) + sqrt(117)*-1 - sqrt(117)))))**2.\nAnswer: -540*sqrt(13) + 9577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026046103 rounded to 6 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 188035 (base 9) in base 16?\nAnswer: 1ca99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/28*(6 - -2) + -9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 16*c**2 + 6*c + 211. Calculate the remainder when 844 is divided by i(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 6, n: 3, x: 1, f: 1, o: 3}. What is prob of picking 1 n and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62720, 125324, 187950, 250604, 313292, 376020, 438794, 501620?\nAnswer: 564504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -159, 3.004, -26?\nAnswer: 3.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 23 - 9 - 2*c.\nAnswer: -2*c - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - v**3 - v**3)*(3 - 1 + 0) + 2*v + 2*v**3 - 2*v + (2*v - v + v)*(4*v**2 - 3*v**2 + v**2).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65857, -66692, -67539, -68404, -69293, -70212, -71167, -72164?\nAnswer: -73209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-14 + (3 - -10 - 7 - 3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 + 4*h - 4*h**2 + 5*h - 13*h + 1 - 2*h + 8*h - 15*h**4 to the form w*h**2 + y*h**3 + a*h**4 + m + i*h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1\/(380\/1310)*-2 + -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -48*c**3 + 2*c**2 - 2*c. Let k be u(2). Let l be (k\/(-8) + 1)*2. Let d = l - 56. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 17, w: 3}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/817470 and 103\/12.\nAnswer: 1634940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198813279 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iokb when four letters picked without replacement from {i: 1, k: 2, q: 1, b: 2, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let r(n) = 3715318*n**2. Determine r(b(i)).\nAnswer: 14861272*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/9 - 44*i\/3 + 558 = 0 for i.\nAnswer: -93, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-2*(-20)\/8. Solve 0 = -4*r - 2*o - 16, -o - 21 = n*r + 2*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/2, 6.9, -5 in increasing order.\nAnswer: -5, -1\/2, -1\/3, 6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*h - 47811 + 9861 = 0 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, -3360, -3\/5, 1.1 in ascending order.\nAnswer: -3360, -3\/5, -1\/4, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27220)\/39930 + 0 + 2\/3. Is l greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164079 and 15930?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 17*b**2 - 2*b - 10. Let s be x(8). Calculate the highest common divisor of s and 1216.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 8:47 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9712167 rounded to 3 decimal places?\nAnswer: 5.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1 + (3 - 2 - 2)*(-2 + 2 - 2))*(-3*u - 2*u + 6*u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.21, 2\/17, -0.1, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 5*z**4 - 5*z**3 + 12 + 45*z**2 - 55*z + 11.\nAnswer: -5*(z - 1)**3*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i - 1. Let c be a(-2). Suppose 0 = -20*b + 10*b. Solve b*w = -2*l + w + 1, 35 = -c*l - 5*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 2246 = -5*k + 2462 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -132. Is 2 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 58074\/18)*(-6)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -866*z**3 + 56*z**2 - 42. Let v(y) = -173*y**3 + 12*y**2 - 9. Determine 3*g(l) - 14*v(l).\nAnswer: -176*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.091, 3\/7, -1\/7, -0.4 in descending order.\nAnswer: 3\/7, -0.091, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258381 is divided by 64137?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 34*b = -434. Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 3. Let f(c) = 1. Let o(q) = 6*f(q) - k(q). Suppose -2*m + 6*m + 24 = 0. Let l = m - -11. Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -29. Let g = -1 + 2. Let j be (1 + -2)*(-3 + g). Solve -j = -4*v + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 842*u**2 + 2*u + 4. Suppose 4*g = 10 + 2. Let a be n(g). Let i = 14688 - a. Round i to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 1, g: 1, w: 1, y: 2, j: 1}. What is prob of picking 1 y and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231.7 - -231. Sort 3\/7, 0.05, p.\nAnswer: p, 0.05, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 117*t**3 - 4*t. Suppose -5*c - 48 = u - 75, -2*c = 5*u + 3. Let q(l) = 29*l**3 - l. Calculate c*k(j) - 26*q(j).\nAnswer: -52*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*x**3 - 3 + 5 - 3*x**3 - x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 165904, 331946, 497988, 664030, 830072?\n\"Answer: 166042*x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713860 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 32. Let a = 37 - u. Suppose -a*v - 8 = 0, 16 = 3*q - 2*v + v. Sort 3, q, 1, 0.\nAnswer: 0, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -256*c**2 - 48*c + 48. Let g(z) = -27*z**2 + 5*z + 0*z - 6*z + 5 - 6*z + 2*z. Determine -48*g(f) + 5*w(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-36))\/(4\/6)*8*272\/34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/15 - 8*n**2 + n. Let y(p) = p**2. Give j(y(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 + 54*u**2 + 7*u. Let d(i) = -23*i**2 - 2*i. Let h(r) = -3*d(r) - y(r). Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 18. Let z(v) = -v + 7. Suppose 5*i + 7 = -3*u - 0*u, -5*u = -5. Let h(d) = i*c(d) + 5*z(d). Calculate h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 96 = 64. Let u = 42 - d. Solve 0 = 2*b - 4*j + 8, 0 = 2*b - 0*b - u*j + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*f**4*h**2 - 67*f*h**2 - 2*f*h + f wrt f.\nAnswer: 2352*f**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6201 is divided by 769.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3, i - 34 = -4*m + 3*i. Let c = -3 + m. Suppose -544 = -c*d - 59. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose -2 + q = -2*d. What is the nearest to d in -0.2, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7068996 or 7068999?\nAnswer: 7068996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 + 4*n + 1. Suppose 241*f = 295*f - 270. Determine r(f).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*((-18)\/45 - (-38)\/20). Suppose 3*o - 3*b + 0 = q, 5*o = b + 14. Find the third derivative of 766*l**o - l**6 + 4*l**2 - 766*l**3 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(6*(sqrt(70)*-1)\/sqrt(10))**2 + (sqrt(252)*-1 + 1)**2*3 + -2.\nAnswer: -36*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 383237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57780 and 564.\nAnswer: 2715660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*o + 20830 = -0*g, -5*g + 20818 = -o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 121*b - 79. Let q be j(1). Let p = -59 + 80. Calculate the highest common divisor of q and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/4 + x**3\/2 + 56*x**2 = 0. Calculate x.\nAnswer: -14, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9 - y - 5 - 4 as q*y + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39219 or -2235412\/57?\nAnswer: -2235412\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.6. Let g = 2\/73 + 112\/1241. Let o = -4.8 + 5. Sort o, g, k in decreasing order.\nAnswer: k, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 smaller than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-46)\/276)\/(2\/(-35124)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5.7. Suppose 6*i + 0*i - 4*i = 0. Suppose i*p + 5 = -p. Which is the smallest value? (a) l (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 4:43 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-56) + (-4)\/(-14). Let o = -8.627 - -3.627. What is the biggest value in 1, o, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*i**3 + 198*i**3 - 129*i**3.\nAnswer: -71*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 595 or 597?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-1)\/(-2) + 1). Let s(m) = -m**2 - m + 1. Let j(c) = -7*c**2 + c + 7. Let z(d) = -3*d**2 + 3. Let i(k) = -2*j(k) + 5*z(k). Give u*s(r) + i(r).\nAnswer: 2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(5)*2)**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15127727.3 rounded to the nearest 1000?\nAnswer: -15128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + -128. Suppose -13*o = c*o - 2166. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u**2 + 10*u**2 - 9*u**2)*(5 - 3 + 5 + (2 + 1 - 1)*(0 - 2 + 1) - 3 + 2 - 1) + 5 - 5 - 5*u**2 in the form x + g*u**2 + w*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -98. Let r(q) = 2*q + 1. Let k(n) = -3*n - 1. Let h(x) = -3*k(x) - 4*r(x). Let i be h(v). Solve -i*f - 16 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1338)\/336 - -4)*47 + 5\/(-10) and 9\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 327ff (base 16) to base 2\nAnswer: 110010011111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6 + 0 - 1 - 1 - 4 + 2 + 3 + (0 + 4 - 3)*(-3 - 4 + 6) - 8 - 2 + 2)*(183*o**5 - 209*o**4 + 209*o**4).\nAnswer: -2013*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 11\/735*t**7 + 8\/35*t**5 + 0*t**4 + 233*t**2 + 2\/21*t**6 + 0 + 0*t**3 + 1\/1176*t**8 + 0*t. Factor y(k).\nAnswer: 2*k**2*(k + 3)*(k + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/160*(-85)\/221.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 3 in descending order.\nAnswer: 8, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 7*h - 6. Let w be m(-5). Suppose 5*c = d + 12, 0*d + d - w = -3*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2 + 194180*a - 9325248 = 0.\nAnswer: -97138, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 20 = -1. Let g = d - -12. Suppose -g*n + 42 = -28. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 21*l - 16*l = 43, -28 = -18*l + 14*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 124?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -9) + (-6 - (-6 + -15)) + -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6874822?\nAnswer: 2, 37, 61, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q + 3*q)*(-17 - 1 - 10 + (-2 + 5 - 2)*(3 - 2 - 2) - 2 + 2 + 2).\nAnswer: -189*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2*k + 2*k)*(k + 3*k**2 - k) + 0*k**4 + 2*k**4 - 4*k**4 - 8*k**3 - 4*k - 2*k**4 + 8*k**3.\nAnswer: 5*k**4 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605766?\nAnswer: 2, 3, 7, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*r - 1596, 4*j - r - 2126 = 2*r. Suppose -z - j = 4*z. Is 15\/(-5)*z\/6 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99250130879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255499 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 37?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54272595, 108545192, 162817789?\n\"Answer: 54272597*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 6) in base 16?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(24\/(-1760)). Suppose z + 2*k - 90 = 0, 5*k - 227 = -3*z + 42. Let b = o - z. Calculate the remainder when 241 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2*q**2 + 2761970*j**2 - 5*j*q**2 - j*q - 85*q**2 - 334*q - 2 wrt j.\nAnswer: -8*q**2 + 5523940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101212212100000 (base 3) to base 5\nAnswer: 2440043004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8689784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f be -84 - -3*(-2)\/(-3). Let c = -74 - f. Let h(x) be the second derivative of -x**4\/12 + 5*x**3\/3 - 2*x**2 + 8*x + 2. Give h(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/80 and -33\/752.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5952758194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -253032551 (base 6) in base 9?\nAnswer: -10203184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/9*d**2 + 0*d - 16\/9*d**3 + 0 + 2\/9*d**4 = 0. What is d?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77813, -1, 0, 37 in increasing order.\nAnswer: -1, 0, 37, 77813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -52, 0 in ascending order.\nAnswer: -52, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 953433 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-89046)\/136 - (-1)\/(-4)). What is the highest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*j - 8 = 0. Let f(v) = -24*v + 13. Does 31 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 - 34 = 4*a, 5*b = -a + 48. Suppose -13*w + 12 = -b*w. Suppose -16 = -2*g + w*q, -5*q + 17 = -3*g + 44. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(19) + 1)*-5 + sqrt(19) - sqrt(19)))**2.\nAnswer: 70*sqrt(19) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 9*k + 5. Determine n(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/120 - i**5\/30 + i**4\/12 - 2*i**3\/3 + i**2. What is the tens digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 7*j + 12. Let a(t) = 2 - 3 - 6 - j*t - 5*t. List the prime factors of a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 13*t**5\/60 - 15*t**4\/2 - 14*t**3\/3 + 2*t**2 - 70*t. Factor h(x).\nAnswer: (x - 14)*(13*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49976?\nAnswer: 2, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 62*k = 189. Solve -i + 6 - k = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*g - 200, -3*r - 4*g = -7*g - 282. What is the smallest common multiple of 70 and r?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1881?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 14*k - 33. Let b be p(16). What is the biggest value in 1\/3, 1\/4, -1\/2, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + ((-14976)\/34)\/(-4). Let v = 113 - u. Let t = -2 + 0. Which is the nearest to t? (a) -2 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-143) - (-81)\/39. Let k be (-2)\/(-17) - (-66)\/(-561). Let j = 11 + -6. Solve f*b = -b - 4*p - 11, k = 5*p - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + 34514?\nAnswer: 35102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 155*v**2. Let p(u) be the first derivative of u**3 - 206. Give p(q(k)).\nAnswer: 72075*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - n**2 - 3*n**2)*(2*n - 2*n - n) - 2*n**3 + 2*n**2 - 2*n**2 + (-3*n**2 + 3*n**2 - n**2)*(7*n - 3*n - 2*n) - n**3 + n**2 - n**2 - n + n - n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*r - 129*r = -9*v + 7, 4*r = 3*v + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3011)\/2590 - (-10)\/(-25). Let w = i - 104\/37. What is the common denominator of w and -43\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.0552?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 44 - 52. Solve -m*u + 2 = -8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**6\/12 + m**4\/8 + 7. Let x(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:55 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34297.11 millennia in years?\nAnswer: 34297110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24733671.16842 - 364.83158. Let t = -24734028.0000088 - k. Let h = -8 + t. Round h to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -363*r**3 + 63*r - 2 wrt r.\nAnswer: -2178*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**1\/h*(((h**2\/h)\/h)\/h)\/h*(h*h*h**(2\/9))**49 assuming h is positive.\nAnswer: h**(971\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*w - 49*w - 1025 = -32*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4887 (base 15) to base 10\nAnswer: -15427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 2 + sqrt(175)*-2)**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + -2*1*sqrt(77)))\/(sqrt(448)*2))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*y - 16619 = -4994. Let j be 0 + 0 - 3*11. Let m = j + y. Is 60 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24710*j**2 - 28*j - 49396*j**2 + 24709*j**2 + 12*j + 16*j.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 2, g: 3, q: 3, f: 2, b: 4}. Give prob of sequence dbg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9.2*-627\nAnswer: -5768.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 23*q = -16. Calculate the remainder when 18 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + 11*n**3 + 6*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4867221 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 21 - 18. Let w = g - 3. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, 0, 12, -3 in increasing order.\nAnswer: -3, 0, 3, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n - 208. Let q be v(26). Let c(b) be the first derivative of 15 + 0*b**3 + 13\/2*b**2 + q*b + 2*b**4. Find the second derivative of c(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.4, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + n = 3*b - b - 13*n, 4*n = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 7\/6*y**3 + 1\/120*y**6 + 2*y**2 + 1\/24*y**4 + 0 - 1\/10*y**5 + 0*y. Calculate the remainder when b(6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8*110\/(-22))\/((-18)\/(-96))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.5 greater than 475401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*t = -0*t - 26, t = 3*m + 14. Let k(s) = s**2 + 5 + 4*s - 5. Let z(b) = b**2 + 4*b. Let h(a) = 7*k(a) - 6*z(a). Give h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 37171 = 37150. Suppose 0 = -4*m + 2 + 6. Suppose 12 = -m*d + 2. Put -31, d, q in descending order.\nAnswer: q, d, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 0, 0*v + 5*t - 6 = -4*v. Suppose -2*f + x = -1, -v*f - 2*x - 2 = -0. Is 121*(-1 + f)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13985796 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let v be l(-5). Suppose 0 = 2*n + 3*n - v. Suppose -n = s + i, -5*s + 2 = i - 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3960890 - 3202513 = -199*o. Calculate the greatest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1551.689242 + 0.01\nAnswer: -1551.679242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -4550 and -4551 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37391632*c**4 + 2714013*c**2 - 2 wrt c.\nAnswer: 897399168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**3 + 2611697*w**2 - 2611697*w**2.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (164\/82)\/(2\/(-3)). Let q(b) = -18*b - 18. Give q(f).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0, -0.08, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1106 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15859.92 and -623.\nAnswer: 15236.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w*(w*w*w**(-3)*w)\/w*w))\/w*w*w*(w**(2\/9)\/w)\/w*w*(w**(-2\/5))**(44\/5))**20 assuming w is positive.\nAnswer: w**(-4768\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-92))\/((-2232)\/(-359352)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/105*(8\/60*5)\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -y - 4*a - 20, -4*a = -y - 28. What are the prime factors of 9\/(45\/10) - y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122112 (base 6) in base 7?\nAnswer: 43421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 + 9 = -i, 0 = -2*i + 2*y - 6. Suppose 7 = 5*z + i. Let t be (-4 - z) + (-4)\/(-2). What is the second biggest value in 3\/2, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 20. Let o be (2\/(-3))\/(2\/h). List the prime factors of 699\/12 - o\/(-8).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-304)\/84 - -3) + 12\/42. Let x = -0.015 - 0.385. Which is the nearest to 0.2? (a) x (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 1196956 = -1197685 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 826048 + -65955. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -4, -6, -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -10. Let g be (10\/(-4))\/k*2. What is the tens digit of g\/(2 - 3) - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143115603?\nAnswer: 3, 107, 211, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 5*j + 5. Let a be q(-5). Let c(y) = 5 + a - y**2 - 8. Let k(s) = s**2 + 5*s - 4. Let h be k(-6). Calculate c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/21)\/(6\/(-210)). Let z = 135 + u. Solve 3*i - 2*w + 2 - 7 = 0, 0 = 3*i + 3*w + z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/2187263 in 16, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(112) - -3*(sqrt(112) + -1)).\nAnswer: -1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.057 - -171.943. Let w = -172.69 + a. What is w rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/14*-4*2\/11*(-1936)\/176.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-603)\/12 + (-8730)\/6305*13\/(-8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2878329963?\nAnswer: 3, 23, 41714927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-2 + -2 - 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -134341 (base 7) in base 14?\nAnswer: -9458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*d + 15 = -5*d, 5*d + 25 = -4*f. Suppose -69*k + 71*k - 10 = f. Solve o + 5*r = 2*o - 6, -5*o = k*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2888.0033864 - -2888. What is n rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/((2*sqrt(12) + sqrt(12))*-2).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqz when three letters picked without replacement from ggzhlggezqzgezgehleg.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33614593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1506 and 4769?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -144 + 131 - (12 - 10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 270*c. Let m(q) = -2*q. What is r(m(l))?\nAnswer: 4*l**2 + 540*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**5\/20 + w**4\/6 + w**3\/2 + w**2 + 3*w. Let g(k) = k + 2. Let r(x) = x. Let m be r(1). Let h be g(m). Determine p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 r when four letters picked without replacement from {r: 3, i: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3\/24)\/(9\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*m - 86 = 0, 266*r - 269*r + 5*m + 98 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-291)\/97)\/((-2)\/(2\/7)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 15. What is the lowest common multiple of c and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l*l**11)*l\/(l**(-7)\/l)*(((l\/(l*l*(l**7\/l)\/l))\/l*l)\/l)**(11\/3) assuming l is positive.\nAnswer: l**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -955, -1\/9, -1?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m. Let p(r) be the third derivative of r**8\/4032 + 2*r**5\/15 - 25*r**2. Let j(h) be the third derivative of p(h). Calculate j(y(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7a099 (base 12) to base 4\nAnswer: -213223311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhggh. What is prob of picking 1 f and 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -476*c**3 + 9*c**2 + 107*c wrt c?\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -324668 (base 9) in base 13?\nAnswer: -6a247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02086805 * 3\nAnswer: 0.06260415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 - 19*b + 78. Let h be k(5). Solve h = -4*p, 3*p = 5*c + 2*p + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:34 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 662809. Let p be o(0). Suppose -4*a - 2*q = -1360006, 2*a = -3*q + p + 17200. What is a rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4*1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3360 - -3568. Calculate the highest common divisor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 4*q + 0*q + (1 - 4 + 4)*(-2*q - 3 + 3))*(2175*q + 16*q**3 - 2175*q).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02354 - -0.0235383322. What is t rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/5)\/(15\/(-275)). Let z(c) = 2*c - 53. What is the remainder when z(i) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -213 - 152. Suppose 5401 = -5*y + 2696. Let f = c - y. What is the highest common divisor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-8)*((-9)\/5)\/((-10)\/(-25)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -180. Let w = 170 - q. Calculate the highest common divisor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1625, -3443, -5261, -7079, -8897?\n\"Answer: -1818*a + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a factor of 119919761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 17*y + 4*y + 2*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 2*n**2 - 7*n + 4*n + 17*n**3 + n. Calculate d(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1762*j - 149897 = -223901 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312116925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -63*c**3 + 62*c**3 - 2*c + 4*c**2 - c. Let v be s(2). Let m(y) = -y**3 - 7*y**2 - y - 7. Let l be m(-7). Solve -2*w - v*w - 8 = l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10539553 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4222370 and 18886.\nAnswer: 2698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**5\/10 - z**4\/6 + 17*z**3\/6 + 29*z**2\/2 + 155*z - 1. Let s be c(-4). Solve -s = -10*o - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -10. Let c = g + -17.61. Let p = -4.01 - c. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 1, k: 3, r: 2}. Give prob of picking 1 w, 1 u, 1 k, and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2 + 377*i + 24820 = 0?\nAnswer: -292, -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 5:55 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.5, -47, 0, -0.1, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1697865 and 61\/16978650.\nAnswer: 16978650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*m - 31916 = -31935, b - 4*m + 21 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpncsnwscssnpc. Give prob of sequence cs.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 6. Let t = 69 + -65. Suppose t = n - 2. Let w(k) = 2*k + 5. Give n*w(p) - 5*r(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/6 - 1\/2*v**5 + 1\/6*v + 5\/6*v**4 + 1\/3*v**3 - v**2 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3792*w**3 - 34*w + 586193.\nAnswer: -11376*w**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 38.8523?\nAnswer: -19.42615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7108.175 millennia in years?\nAnswer: 7108175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 + (-20 - 45 + 21)*(-1 - 3 + 3))*(5 + 0 - 4)*(-1 + 1 - 2*l).\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101112102110120 (base 3) to base 6.\nAnswer: -315554110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + 3. Let x = 4 - n. Let s = x - 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5\/7 - 236*m**4 + 10918*m**3\/7 - 20684*m**2\/7 + 6519*m\/7 + 4896\/7 = 0.\nAnswer: -1\/3, 1, 3, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.87 + -33. Let u = -5.13 - s. Let o be 2\/(-5) - (-3)\/(-5). Which is the nearest to o? (a) 4 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12820453*u**3 - 2*u**2 - 39519*u - 151 wrt u?\nAnswer: -76922718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*x + 216*x - 113*x - 5*x.\nAnswer: 516*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -34211*b. Let s(j) = -20*j. What is p(s(x))?\nAnswer: 684220*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + sqrt(192) + -2.\nAnswer: -5 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-6 - -1)) + -1 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*46\/((-21252)\/(-42)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 10550610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 2, u: 1, n: 1, w: 1, k: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308.5 - -309. Let r = 1.5 + -0.5. Let g = r - 0.6. What is the smallest value in -0.2, g, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/126*(-14)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.37725238 - 30.65326. Let h = 0.276 + d. What is h rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*s = -84*i + 88*i + 7, -15 = 5*s - 80 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2194*r**3*t**3*z**2 - r**3*t**3*z - r**2*t**3 - r**2*t**2*z**2 + 4*r**2*t**2*z + 312*t**2 + 2*z**2 wrt r.\nAnswer: 13164*t**3*z**2 - 6*t**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -1\/6*m**3 + 0 + 99\/2*m**2 - 2*m. Let p be n(0). What is the greatest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*h + 77, 0 = d + 4*h + 321 - 258 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -399 + 401. Suppose -4*n - 7474 = -4*y - 2258, -3*y - s*n + 3907 = 0. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65506*t = 65528*t - 176 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 + 22*a**3 - 31*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:51 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**4 + 2*s**3 - 3 + 4 - s**3 + s**3 as b*s**3 + m*s + g*s**4 + w*s**2 + t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w**3. Let b be t(-1). Let y = b + 44. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**10\/3360 - b**6\/60 + b**4\/6 - 4*b**2. Let l(o) be the second derivative of u(o). Find the second derivative of l(c) wrt c.\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390 - -379.896. Let r = h + 10. What is r rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2434 - 1616. Round b to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -13. Let l = s - -17.2. Round l to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*p - 14 = 0, 0*m - 4*p - 31 = -m. What is the greatest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1120210?\nAnswer: 1120223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:45 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/15 and (-3)\/(-2)*(-41)\/72.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 44.1. Let k = h + 0.167. What is k rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 95*a**2 + a + 95.\nAnswer: -(a - 1)*(a + 1)*(a + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - -4*(sqrt(21) - -2*sqrt(21)))\/(sqrt(147)*2))**2.\nAnswer: 169\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16499.2 - 4?\nAnswer: -16503.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -4*y**4\/3 + y**3\/3 + 1127*y. Let j(r) = 32*r**2 - 4*r. Calculate 2*j(d) + 5*v(d).\nAnswer: -16*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*k + 10 = 0, k = -4*t + 19 + 7. Suppose 0 + 38\/5*y**4 - 6\/5*y**t - 8\/5*y**2 - 56\/5*y**3 + 32\/5*y = 0. What is y?\nAnswer: -2\/3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a + 97. Let k be m(8). Let v(u) = 2*u + 9*u**2 + 9*u**2 - 36*u**2 - 4 + k*u**2. Let i(s) = s**2 - s - 1. Give 2*i(d) + v(d).\nAnswer: d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 48*c**3 + 3*c**2 - 4*c + 2. Determine z(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9184119*x**2 - 10488903*x?\nAnswer: -18368238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 143*w - 8. Let c(i) = -171*i + 9. Let u(b) = 6*c(b) + 7*d(b). Let j(p) = -25*p - 2. What is -2*j(m) + 3*u(m)?\nAnswer: -25*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2. Let s(q) = 4*q**2 - 3*q**2 + 0*q**2. Determine s(y(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 - 627*p + 1266 = 0.\nAnswer: -211, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-7)\/p)\/p**(5\/2))**(-9) assuming p is positive.\nAnswer: p**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -14b60?\nAnswer: 14b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-5 + 3 - -7) + 23 + 17.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 493*a - 1355*a + 9439*a.\nAnswer: 7591*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2311590, 4623120, 6934650, 9246180, 11557710?\nAnswer: 13869240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t - 84 = -31*t. Let j(u) = u**3 + 30*u**2 + 54*u - 52. Let a be j(t). Solve 0 = m - 4*m + 4*v - 20, -3*m - a = 4*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/4 - 4*d**3\/3 + 3*d**2\/2 + 1. Let f be g(-6). Let y = -10578 + 10587. Calculate the greatest common divisor of f and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 - x**2 + x. Let i be b(1). Let u be 1*(-1)\/(1\/(-10)). Suppose i*r - 6*r + u = 0. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.57 - -8. Let l = -0.07 - y. Let s = 86\/3 + -28. Which is the smallest value? (a) l (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, 4, 44.\nAnswer: -148, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01272201075 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.9 in 0.1, 0.0111, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 10) to base 6.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*i - 189*i = -2, -k + 4*i + 71 = 0. What is the remainder when 209 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -eda54e (base 15) in base 14?\nAnswer: -170ad24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.5. Let j = n - -0.1. Let t = -20 + 21. Which is the third smallest value? (a) -3 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 3. Let m(r) be the first derivative of 34*r**3\/3 - 3*r**2\/2 + 2*r + 32. List the prime factors of m(z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47177, 94328, 141479, 188630, 235781, 282932?\nAnswer: 330083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 19*i - 3. Let y(q) = 6370*q**2 - q. Calculate t(y(o)).\nAnswer: 121030*o**2 - 19*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11964290 a multiple of 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**6 - 200*n**4 + 3*n**3 - 10225*n**2?\nAnswer: -600*n**3 - 4800*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2822872 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 103?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/(-21))\/(-1)*3\/(-4). Sort -6\/23, -5, r in increasing order.\nAnswer: -5, -6\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 - 1441684.\nAnswer: -1441872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -10003937?\nAnswer: -10003937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -66. Suppose -4*r - 80 = -3*f + 110, k*f + 5*r = 119. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 20*a**2 + 4*a - 48. Let p be i(20). What is the second derivative of -32*r - p + r**5 + 15*r + 15*r + 9*r**3 wrt r?\nAnswer: 20*r**3 + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.3835 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*l + 4 = -2, -5*j = 3*l - 10. Let s = 14 + j. Let v = 26 + -24. Solve -2*h = v*h - s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)*1 + sqrt(48) - sqrt(48))\/sqrt(2) - -1*sqrt(216))\/((sqrt(80)*2)\/sqrt(10) - (sqrt(8) - 4*sqrt(72))))**2.\nAnswer: 48\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:20 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*h - 2*t - t, 35 = 5*h + 2*t. Let p be 42\/10 + (-1)\/5. Suppose p = s - h. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, g: 15}. What is prob of picking 2 g?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 323 = -5*f, 14*f - 91 = y + 9*f. Let l = -17 - y. Suppose 2*x - 138 = -4*o, 5*x + l = o + o. What is the remainder when 64 is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 36 = 3*b, 38 = -s + 83*b - 88*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628370 divided by 10.\nAnswer: 62837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60270, 120258, 180248, 240240?\nAnswer: 300234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*w**4 + 23*o**3*w - 246*o**2*w**3 - 3*o**2*w wrt w.\nAnswer: -12*o**3*w**2 - 1476*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 80663766\nAnswer: 5\/80663766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1823, 14692, 49637, 117698, 229915?\nAnswer: 397328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02792 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 170.3941t?\nAnswer: 170394100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184745819*k**4 + 70422950*k wrt k.\nAnswer: 2216949828*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 11\/5 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 302? (a) -8 (b) -2\/5 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 462969 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -20*r**3 - r**2. Give o(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2, -6, 3, -18033 in decreasing order.\nAnswer: 3, 2, -2, -5, -6, -18033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*l - 4*l - 3*l)*(-2 + 9 + 1) + 10 - 10 - 3*l)*(0 + l - 2 + 1) in the form c*l + w*l**2 + r and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130\/641669 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13588179 and 4059.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**18\/p)*p))**(9\/5))**(1\/2) assuming p is positive.\nAnswer: p**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 19, n: 1}. What is prob of sequence gg?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5918.259127 - -0.040873. Round g to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/56*4*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**3 + 0*x**5 - 8*x + 0*x**2 + 0*x**6 - 1\/8*x**8 - 1\/4*x**4 + 0*x**7 + 0. What is the third derivative of f(n) wrt n?\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - -7290?\nAnswer: 729b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/8 - 58605*c**2\/8 + 61206225*c\/8 - 16435878375\/8.\nAnswer: 3*(c - 18445)*(c - 545)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1189.6 and -0.11?\nAnswer: 1189.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*g**2 - 37*g**2 + 71*g**2.\nAnswer: -209*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705*h + 1672*h = 330 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.9 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a. Let z(m) = -5*m + 11. Let p(i) = i - 2. Let w(q) = 11*p(q) + 2*z(q). What is w(y(g))?\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 19*p**2 + 4*p + 84. Let w be h(-19). Solve 4 + w = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27565287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31990 in 2\/37, 2\/5, -4, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*y - 636. Let j = y - -7. List the prime factors of j.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 588 - 178. Let b be 1\/(-8) - k\/(-80). Solve -4*t + 7 + b = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -74, -177, -322, -509?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -12. Suppose -3*u - 3*q = u - a, 0 = u + 3*q - 3. What is the units digit of 3 + u + (-2)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281 (base 11) to base 10\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 - 6*l - 5. Suppose j - 1 + 0 = 0. Let i(y) = 2*y**2 - 267*y - 3*y**2 - 3 + 2 + 266*y. Let t be (-72)\/15 + 2\/(-10). Give j*d(x) + t*i(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/770015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1224139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 32*l**2 - 7*l - 8. Calculate x(-16).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 3\/49, 2652, 1?\nAnswer: 2652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i + 7. Let x be o(0). Suppose 3*r - 5*q - 5 = 0, 5*q + x = 2. Let n be 1 - (3 - (r - -1)). Which is smaller: 2\/19 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 42 - 46 = 0. Let i = j + -6. What is the remainder when i is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49385 - -25063. What is the highest common factor of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + p**3 + p**3 + 4*p**3 - 10*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 51 = -3*m. Let d be ((-36)\/m)\/((-1)\/6). Suppose o - d = -7. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-461502*t + 461502*t - 713*t**2)*(3*t**3 - 3*t**3 + t**3).\nAnswer: -713*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 2*l - 2. Let u be s(-1). Let q = 30 - 24. Sort -2, u, q in descending order.\nAnswer: q, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, 6, 44, 98, 174, 278, 416, 594?\n\"Answer: s**3 - s**2 + 24*s - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1088*c - 916*c + 4680*c to p + t*c and give t.\nAnswer: 4852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:42 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1586 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -39*l + 924 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 3*t**2 + t - 9*t)*((8*t - 2*t - t)*(-t**2 - 2*t + 2*t) + t**3 + t**3 - 4*t**3 + 0*t**3 - 4*t**3 + 2*t**3).\nAnswer: -18*t**5 + 72*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (138\/15)\/(3\/15)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -144 + 149 + (3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s**2 + 861*s + 1654. Determine f(-92).\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126686*m**6 + m**5 + 98*m**3 - 2555*m**2 - 2*m - 5073?\nAnswer: 15202320*m**3 + 60*m**2 + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q*u**4 - q*u**3 - 3*q*u + 22*q + 3*u**4 - u wrt u.\nAnswer: -36*q*u**2 - 6*q*u + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1224982, 2449847, 3674712, 4899577, 6124442?\n\"Answer: 1224865*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.2*-6609.\nAnswer: -60802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:42 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 130 + 144 = 243 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6357 + -1.7466. Let h = 0.88 - s. Round h to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_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: Is 140 a factor of 2581740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(13\/65)\/((-2)\/4). Solve 0 = k*x + 3*c + 1, -3*x - 32 = -0*x - 4*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-325))\/(-3*2\/(-90)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l**(4\/7)\/l))\/(l**7\/(l*l*l\/(l\/(l*(l*l\/l**(2\/5)*l)\/l))*l*l))*(l**(-7)*l)\/(l*l**(4\/5)*l)*l**(-4\/7)*l**2*l assuming l is positive.\nAnswer: l**(-362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m - 347. Let k be v(39). Solve 16 = o + k*g, -2*o + 21 - 1 = 5*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 3 - 1 + 0)*(-x + 0 + 0).\nAnswer: -3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z + 4. Let j(o) = -o**2 + 21*o - 7. Give 4*j(n) + 7*m(n).\nAnswer: -4*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130431 (base 11) in base 4?\nAnswer: 302022310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 4. Suppose 0 = -4*o + 3*d - 1, 0 = o - 4*o + 2*d. Let s be m(o). Suppose 0 = 3*c - s*c + 213. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21590 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 18*s**2 + 3 - 35*s**2 + 16*s**2 - 7*s. Let f be l(-7). Suppose -2*u - 76 = -f*u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -51, -56, -43, -6, 61, 164?\n\"Answer: c**3 - 24*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by 61\nAnswer: 99\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -138 + 4. Let n(t) = t**2 + 28*t + 31. Let z be n(-22). Let d = i - z. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1023.\nAnswer: -5\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.6 - 9. Sort 3\/2, -5, t in increasing order.\nAnswer: -5, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -17. Suppose 3*h - u = 18. Suppose -2*p = -h - 0. Solve -3*d + w + 12 = d, p*w - 6 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*x + 3*x + 124 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 304 = -22*s - 71 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -22. Suppose p*u - 4*u - 2 = -w, 5*u + w = 2. Sort u, -4, -2 in descending order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 34*j - 98. Determine r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/(-63) + ((-47)\/94 - (-1 + 326\/20))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 2. Let z be k(3). What is the units digit of ((-6)\/z)\/((-3)\/(-72))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2079, -4162, -6251, -8352, -10471, -12614?\nAnswer: -14787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -3, 4 in decreasing order.\nAnswer: 23, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -67 (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 - 36617*m**2 + 2*m - 59136.\nAnswer: -6*m - 73234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964641 is divided by 2959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -60*p**2 + 489*p + 17. Give a(8).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11064 by 265.\nAnswer: 11064\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 15, 4*n = -4*s - 0*n + 40. Let j = 24 - s. Let a(b) = b**2 + b + 11. Calculate the remainder when j is divided by a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-308)\/(-3) - (-6)\/18 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 + 118. Let l = -4 + m. What is the second derivative of -35*y**5 + 22*y + 0*y**3 + y**3 - y**l wrt y?\nAnswer: -700*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333 = 330447*m - 330416*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 11*d**2 - 1\/36*d**5 + 1\/144*d**6 + 0*d + 0 - 5\/9*d**3 - 35\/144*d**4. Factor b(t).\nAnswer: 5*(t - 4)*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/9 - 22*r**4 - 1600*r**3\/3 + 5000*r**2\/9 = 0.\nAnswer: -50, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-48)\/4)*(-6 + 4). Suppose -h = 952*f - 956*f. Let i(c) = c + 3. Calculate i(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/14*154\/(-44). Is d less than or equal to 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 62. Solve k - 16 = -3*c, -c + l*k + 20 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24960022?\nAnswer: 2, 31, 402581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2\/1) - -4. Let f(d) = z*d + 2*d**2 + 4*d - 7*d. Let c(t) = -7*t. What is c(f(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26*(3 + (-5)\/2). Let w = o - 16. Let s(p) = 2*p + 2. What is s(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 - 24*x - 25. Let a be r(-1). Solve -2*k = a - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583*x**4 - 38424*x**3 + 273*x**2 - 25*x - 82 wrt x.\nAnswer: -13992*x - 230544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 - 201. Put r, 1\/4, -0.12, -1\/8 in decreasing order.\nAnswer: 1\/4, -0.12, -1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 9, -4*z + 2*c = -3*z - 781. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((-30)\/5 + 1). Suppose o*a + i = 7, -i - 2*i - 3 = 0. Solve 0 = -3*v + 4*l + a, 0 = v - 6*v + 3*l - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -29*j**3 + 3*j**2 + 15*j - 16. Determine p(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14009.01 + -14009. Let g(w) = w. Let q be g(-2). Which is the closest to 3? (a) t (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732223.\nAnswer: 3, 13, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 4*k + 3. Suppose -4*m - 5*c - 17 = 5, 2*c + 1 = m. Let h be n(m). Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1 - 2)*(-58 + 60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707, 946, 1241, 1622, 2119, 2762?\nAnswer: 3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10561379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 21*z = -143, -3*d - 50*z = -46*z + 1 - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15*y**2. Let v(b) be the first derivative of -b**4\/6 - b**2\/2 - 13*b + 287. Let f(o) be the second derivative of v(o). Determine f(c(s)).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 63611?\nAnswer: 63612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 441 = 675. What are the prime factors of y?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a + 14790000. What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(-1*27\/(-36)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*11\/(-462)*4 - (2 - 1016\/(-12))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -272.8 and 1050216315?\nAnswer: 1050216587.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.48334 rounded to one dp?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {l: 2, r: 2, t: 1, s: 1, n: 1, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 90, 126, 166, 210, 258, 310?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2))\/((r*r*(r*r\/((r*r**(-1\/6))\/r))\/r)\/r)*(r**(-9)\/r*r)\/r**(-2\/3) assuming r is positive.\nAnswer: r**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**4 - v**2 + v**2 + (-5*v**2 - v**2 + 2*v**2)*(-9 - 32 + 2*v**2 + 300*v + 42) + v**4 + 5*v**4 - 5*v**4.\nAnswer: -2*v**4 - 1200*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -10, 4, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43982 and 4.217.\nAnswer: 185472.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -293. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 73\/3 + 3\/(-9). Suppose 7*n - n = b. Suppose 0*c + 80 = n*c. Solve -5*d + 3 = -3*p + 33, 0 = -4*p + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 8633786?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201 + 90. Does b = -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l**2 + 36*l**2 - 21*l**2)*(-2 + 0 + 4) + 4*l**2 - 2*l**2 + 0*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 366 = -5*q, -a - 5*q + 164 = -19. What is the remainder when a is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -220, -235, -266, -319?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 13*n - 2460. Suppose 4*y - 217 = -n. Suppose 1068 = 4*p - 4*g, 0*p + 532 = 2*p - y*g. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 19\/3)\/((-2)\/(-6606)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Suppose -3*w = w + 4. Do w and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21369 is divided by 2191.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142997143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2\/9 (b) 0 (c) 12.8512 (d) -2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 160*a + 7. Let q be (-28)\/(-7) - (23 - -1). Let g be q\/(-50) - 26\/(-10). Is o(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 11. Let u = -8 - y. Let n = u - -2. What is the second smallest value in 1, n, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 244422?\nAnswer: -244440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 0*w - 3*n + 2 = 0, 24 = -4*w + n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-7)\/4)\/1)\/((-6)\/96). What is the tens digit of -3 + (-1104)\/(-10) + x\/(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52407 divided by -4\nAnswer: 52407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 1, p: 4, c: 1}. Give prob of sequence sprc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 2, v: 1, c: 1, f: 1, t: 1, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/85)\/((-30)\/(-75))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Suppose -63*i + 30 = -53*i. Let p(s) = i*s - 34 + 73 - 36. Determine p(j(t)).\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 209, 212, 217, 224, 233, 244?\n\"Answer: v**2 + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*2)\/(((-1120)\/90)\/16)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11704*c + 6216*c - 466480 = 0 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**19 assuming m is positive.\nAnswer: m**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2529365 (base 12) to base 3.\nAnswer: -111200112120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3037209 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31066 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 780 + 830. Let c = 2289 + r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 12*d + 67 = 4*h, d = -4*h + 47. Suppose -3*i = 0, 5*s + 9*i - h*i = 6080. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001085086 rounded to 5 decimal places?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-605*c**2 - 2 + 255*c**2 + 64*c + 371*c**2)*(3*c + 1 - 1) to u*c**2 + a*c + j*c**3 + p and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (984*a + 10014*a + 24087*a + 12001*a - 4458*a + 722*a)*(2*a + 0*a + 0*a).\nAnswer: 86700*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/4 + 60*y**2 + 3717*y + 68796 = 0. What is y?\nAnswer: -156, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9376\/24*(-3)\/(-2). Let r = w + -401. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 33 + 23. Let s(r) = -b*r - 23*r + 39*r. Let c(a) = -18*a**2 - 1. Give s(c(v)).\nAnswer: -162*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3123 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 9113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k - 46. Calculate x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 31*y. Suppose 5*o + n - 8 - 49 = y, 5*n = -5*o + 45. Calculate the smallest common multiple of o and 39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5\/8*2\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 3*p + 32 - 44 = -22*t, 4*t = 4*p - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 3 - 3)*(23 - 105 + 49)*(2 - 1 - 4 + 1 + 2 - 2 + 1 + 1 - 3 + (1 + 3 - 3)*(-1 + 2 - 5) + 1 + 4 - 7) to the form c*j + s and give c.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2156*p + 30 + 1082*p - 28 + 1093*p.\nAnswer: 19*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-4) - 103224\/(-96)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*x + 31, -2*x - 9 = -3*b - 3*x. Suppose 0 = 8*d - b*d. Suppose -6*r + r + 135 = d. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9547402 < -9547403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 11 - 99)*(-1 + i + 1)*(-16 + 16 + 4*i).\nAnswer: -544*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 11*l**2 + 10*l + 22. Give o(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.1, -2\/7, 1, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 553\/(-158)*12\/14. Sort 1, -454, -1, t in ascending order.\nAnswer: -454, t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4717 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2947498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0)**(-5))**(2\/27))**(15\/2) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - r**2 + 5*r**2)*((-3 - 1 + 0)*(-r**2 - 3*r + 3*r) + (4 - 3 - 2)*(r**2 + 3*r - 2*r**2 + 0*r**2)).\nAnswer: 5*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -64081 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(190)\/(2*sqrt(1210)))**2.\nAnswer: -465\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + p. Let v(j) = 3302*j**2 - 5*j. Give -10*a(r) - 2*v(r).\nAnswer: -6594*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169666356?\nAnswer: 2, 109, 1579, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/(-832))\/(1\/(-204))*(8\/3 + -2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -67, -99, -133, -169, -207?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + 3. Let d(q) be the second derivative of 1\/9*q**4 + 1\/9*q**2 + 1\/135*q**6 - 2*q + 0 + 2\/45*q**5 + 4\/27*q**m. Factor d(u).\nAnswer: 2*(u + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294201319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 56b - 10b?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2695)*-4 + sqrt(55))*3*-1)\/((sqrt(5) + sqrt(5)*4)*-2 - -3*sqrt(180)))**2.\nAnswer: 72171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30300764*b**2*n**2 - 185*n**2 - 85243 wrt b.\nAnswer: 60601528*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q**3 + 398*q**2 + 170*q + 44. What is l(-23)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*30\/12)\/(6\/(-4)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 46.1\nAnswer: -13.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 - 115*d - 3*d**3 + 19*d**2 - 24 - 59 + 120*d + 8. What is the units digit of n(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46373\/92782 + -9\/46391. Let y = 0.3 + 0.2. What is the third biggest value in 4, o, y, -1.9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 773*v - 1333. Determine t(2).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94393669?\nAnswer: 94393669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2350095 and -27\/35.\nAnswer: 16450665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*u = 6*u - 1, -3*r + 4*u = -41. What is the units digit of 545\/2 + (28\/8)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3781*r - 6078*r**2 - 3781*r - 676*r**2)*(r**3 + 3*r**2 - 3*r**2).\nAnswer: -6754*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 264040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 105*j**2 + j. Let v be ((-2)\/(-3))\/2*(-3 - 0). Let d be n(v). Let p = 222 - d. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 782, 783, 784, 785?\n\"Answer: m + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*j)*(-j**3 - 1 + 1) - 2*j**4 + j**4 + 0*j**4.\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 493.\nAnswer: -4\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = 0. Suppose i = 5*w - 25 - 15. What is the third derivative of -49*h**5 - 3*h**2 + w*h**2 + 40*h**5 + 11*h**2 wrt h?\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j - 78. Let a(i) = 13*i - 91. Let d(c) = -6*a(c) + 7*g(c). Let l(p) be the first derivative of 2*p**2 - 2. Calculate l(d(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66884 is divided by 4775?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 438480?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27356, -109402, -246160, -437642, -683860, -984826, -1340552?\n\"Answer: -2*l**3 - 27344*l**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33129936 divided by 9?\nAnswer: -3681104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 4937457.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 7*u**2 - 8*u + 17. Give o(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29*((-34560)\/(-870))\/64.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvn when three letters picked without replacement from jqooqnnqvqmvqqqqoqn?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**9\/2160 - b**5\/15 - 7*b**4\/24 + 8*b**2. Let u(y) be the second derivative of k(y). What is the derivative of u(c) wrt c?\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7 = a + n, 0 = a + n - 1. Let f(b) = b - 1. Let i be f(3). Factor 4 - a*h + h**i - 5 - 3.\nAnswer: (h - 4)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42362 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 37 - 49 = 0. Suppose -u*p + 0*w + 34 = -5*w, -3*p = -4*w - 29. Let n = -43 + 67. Calculate the greatest common divisor of n and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 41*g - 3. Let r(p) = -10*p + 1. Let x(t) = n(t) + 3*r(t). Let f(q) = 2*q + 4. What is x(f(l))?\nAnswer: 22*l + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*r = 1 + 14, -12 = 3*r. Suppose 0 = v - 6*v + 20. Let j = f + v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 845 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + 44. Suppose -5*z + t = 115. Suppose l + z*w = -2555, l - w = 3*w - 2528. What is l rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001001011101100 (base 2) in base 15?\nAnswer: c5d91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8890 (base 10) in base 7?\nAnswer: 34630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1008\/23 - -134965\/3036. Find the common denominator of -109\/132 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*w - 48 + 48. Let z(o) be the first derivative of -1 + 0*o**2 + w*o**4 + 0*o**3 + 0*o + 1\/20*o**5 + 1\/24*o**6. Find s such that z(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 167 = -127 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2559 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.488 times 15759\nAnswer: -7690.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 254 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 8 = 3*a - 3*h, h + 28 = -3*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111928 is divided by 246?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -31\/2. Which is the second smallest value? (a) -4 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16649 * -3\nAnswer: 49947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-12)\/(-16)*-4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -36*o**3 - 3*o - 9. Let r(m) = -935*m**3 - 77*m - 231. Determine -6*r(q) + 154*y(q).\nAnswer: 66*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 18*g**2 - 19*g + 24. Calculate i(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*p**2 + 23*p**2 + 194*p**2 + 164*p**2.\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, h: 5}. What is prob of picking 1 x and 1 h?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 86.46286?\nAnswer: 86.46286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216588.6l to millilitres.\nAnswer: 216588600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 445 + -445. Which is the nearest to u? (a) -1\/11 (b) 0.2 (c) 2\/13 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102110222120001 (base 3) in base 9?\nAnswer: 12428501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 4*o**2 + 0*o**2)*(4*o**3 - 2*o**3 - o**3) + 2*o**5 + o**5 - o**5 - 81*o - 37*o**5 + 81*o.\nAnswer: -36*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 14*q**2 - 16*q - 17. Let n be d(-15). What is the tens digit of (-3 - n)\/((-3)\/132)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 323*z - 230 wrt z.\nAnswer: 323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 100, 201, 298, 391, 480?\n\"Answer: -2*o**2 + 107*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:34 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let q(u) be the first derivative of u**2\/2 + 98*u - 175. What is b(q(j))?\nAnswer: -2*j**2 - 392*j - 19208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 + 349.19. Let g = -0.71 - l. Is 8\/3 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 4*u**4 + 2*u**4 + 3*u**3 + (-3 + 5 - 5)*(2*u**4 - 2*u**4 + 3*u**4))*(-29 + 22 - 48).\nAnswer: 605*u**4 - 165*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13863919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 977 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 269109 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**5\/5 - r**4\/8 - 11*r**2\/2 - 38. Let a(p) be the second derivative of z(p). Solve a(d) = 0 for d.\nAnswer: -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373498799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)\/((-7)\/(-63)). Suppose -s = 4 - h. Let k(y) = -y**2 + 6*y + 3. List the prime factors of k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2693*i - 716*i + 2450*i - 662*i.\nAnswer: 3765*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 213, 618, 1003, 1368, 1713, 2038?\n\"Answer: -10*h**2 + 435*h - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (178\/(-26) + (-30)\/195)*-28. Calculate the highest common factor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3744 - 66596 = -1654*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 0*k**3 + 3*k**3 + (2*k - k - 5*k)*(-2*k + k**2 - 9 - 24 + 36) to the form l + p*k**3 + z*k + h*k**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/10)\/(3\/15). Suppose -5*i - q = -i - 5, -10 = 2*i - h*q. Let p = 1.8 + -6.8. What is the closest to i in -4, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.18934 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l - 1\/2*l**2 + 2 + 2\/3*l**3. Calculate the least common multiple of 16 and k(3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1873644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-44))\/(160\/1100) + (-291)\/6*1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26d29a - 200?\nAnswer: 26d09a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 73*f**2. Let m(n) = -28*n. Calculate k(m(t)).\nAnswer: 57232*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 11. Let s = -2754 - -2748. Calculate f(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 293. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -45*c**3 - 14*c**2 - 40*c + 231. Does 141 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 17. Let r be p(-9). Solve 7*w - r*w + 5 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 10065*o\/2 - 5032.\nAnswer: -(o - 10064)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, 2042 in ascending order.\nAnswer: -0.3, 3, 2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100101001000 (base 2) to base 15.\nAnswer: -17839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 59*c**2 - 252*c - 14856. Give z(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 14) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one thirds of a year?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/42 and -11\/2507232?\nAnswer: 2507232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 3*m**3 - m**2)*(-10*m - m + 0*m)*(3 - 2 - m - m).\nAnswer: -66*m**5 + 33*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 4:58 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l + 30 + 7*l + 119 + (6 - 5 - 3)*(-7*l + 3*l + 3*l) as j + h*l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24399053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:31 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.8 * -65039.\nAnswer: 2263357.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*h + 6, 3*d - 36*h + 35*h - 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5876751 + 2*g**4 + g**3 - 4*g**2 - 6*g - 12*g - 5876749 in the form d + p*g + x*g**4 + r*g**3 + l*g**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 576144*y**2 + 3456540*y - 41481072 = 0. What is y?\nAnswer: -192042, -12, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/19 (c) 2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676703 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321 a factor of 8339473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30120 and 20080.\nAnswer: 60240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 1 - -2 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22056, 3, -5, -65 in ascending order.\nAnswer: -22056, -65, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2349 + 5037. Let r = 72560\/27 - m. Let x = 635\/54 + r. What is the common denominator of -121\/30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 190 - 33 = -3*w, -w + 4*t = -46. What is the greatest common factor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350425581 rounded to the nearest one million?\nAnswer: -350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 + 1. Let g be d(-5). Sort -3, g, 0, -5 in increasing order.\nAnswer: -5, -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94504, -95607, -96710, -97813, -98916?\n\"Answer: -1103*x - 93401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 345842, 345844, 345838, 345824?\n\"Answer: -4*g**2 + 14*g + 345832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*i**2*k + 460*i**2 + 3700*i*k + 1226*i wrt k.\nAnswer: -44*i**2 + 3700*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 65\/812?\nAnswer: 65\/812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5 = 136*u - 139*u, 4*u - 20 = -4*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -833 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(98) + -3 + sqrt(2)*-3*-6)*1.\nAnswer: -2 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (32 - (59 - 79))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 114, 262, 470, 738, 1066, 1454?\n\"Answer: 30*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddkk when four letters picked without replacement from dktktdtttdktdtkk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvwyxwk. Give prob of sequence xrkv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -3. Let d be 6*(10\/n + 2). Suppose 16 = d*i - 4. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/7 (b) 2.3 (c) 1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) -22 (c) 0.7 (d) 12947\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-30) + 95\/25. Suppose c*j - 3346 = m, j + 3*j = -5*m + 4455. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umpbppup. What is prob of picking 1 u, 1 m, and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 722b?\nAnswer: -7237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3982*k**2 + 1951*k**2 + 2016*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/5 - 3774*w\/5 + 1347004\/5 = 0. Calculate w.\nAnswer: 478, 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 + 3*d**3 + 256478*d**2 - 32*d - 1015635.\nAnswer: -48*d**2 + 18*d + 512956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 21*s**4\/4 - 2*s**3\/3 - s**2\/2 - 1678. What is h(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*i**5*k**3 + 4*i**3 - i**2 + 1021*k**3 wrt i?\nAnswer: 1680*i**2*k**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 377, 2, -2, 4 in descending order.\nAnswer: 377, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1689 (base 12) to base 11.\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/28*8\/(-6). Let c = -22296.5 - -22296. What is the third smallest value in 3, c, 0.7, o?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 3*u - 2*u**2 - 271*u**2 + 111*u**2 + 137*u**2 + (0*u + u + 3*u)*(4 - 3 + 0)*(-1 - 2*u + 1 + (-1 + 4 + 1)*(2 - u - 2)).\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 5*i)*(-75 - i**2 + 19 - 47) + (-3*i + 3*i + i)*(0 + 0 - 3*i**2) + 0 + 0 + i**3.\nAnswer: -3*i**3 - 103*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 370626 divided by 1740\nAnswer: 61771\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-4*z**2 - z**2 + 4*z**2)*(4*z**3 + z**3 - 3*z**3).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = 4*b - 566, -5*v = -3*b - 151. Solve -82*r + 66*r = v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-20 - -12 - (-29 - -3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 4*a, -5 + 0 = 5*a. Suppose -5*i - 4*u + 30 = 0, 0 = 3*i + z*u - 22 - 4. Suppose 4 = i*o + 2. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25480 = 358211*k - 357721*k for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -51. Let o = -2262 + 2267. Solve o*d = d - n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3226059.\nAnswer: 3, 347, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**26*f)*f))\/f)\/((f\/(f*f\/f**(-7\/6))*f)\/f) assuming f is positive.\nAnswer: f**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.6 - 12.5. Let r = 4.6 - w. Which is the closest to -6? (a) -3 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 - k - 4. Let u be v(-3). Let x be (-2)\/u - 28\/(-35). Let h = x - -5. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/168 and 65\/32.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -178, -180, -180, -178?\n\"Answer: y**2 - 5*y - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65024 - 584372\/9. Let h = c - 94. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 * 282.8.\nAnswer: -23472.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1388\/7 - -198. Let x = 1945.9 - 1947. Which is the third smallest value? (a) z (b) -4 (c) -0.2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979496 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjyyhjjuyvyyyvjyy. What is prob of sequence vju?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 + 3*o + 1. Let a be u(-2). Suppose -4*g + 53 = 3*x, g - x - a = 4*x. Solve z - 2*q = -z - g, -2*z + q = 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 114.85. Let t = -30.74 - o. Let q = -0.89 - t. Which is smaller: 0.2 or q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - 1000011?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3206 + 202*j**2 + 3206)*(-9 + 2*j + 9).\nAnswer: 404*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943246.\nAnswer: 2, 41, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 707590195 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 14 = r, 6*r - 5*i - 34 = 2*r. Let u(k) = -1. Let d(c) = -c**2 + 3. Calculate r*u(n) + 2*d(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l. Let m(b) be the second derivative of -b**4\/12 + b + 105. Determine m(r(q)).\nAnswer: -169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deergoxdeeexxxed. Give prob of sequence edrx.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3359108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/42 - 121*q**6\/12 - 14881*q**5\/12 - 6050*q**4 - 12000*q**3 - 797*q**2. Find p such that v(p) = 0.\nAnswer: -120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 40552971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**4\/5 - 128*y**3\/5 - 216*y**2 - 1792*y\/5 - 836\/5 = 0.\nAnswer: -19, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8070, 16170, 24270, 32370, 40470?\n\"Answer: 8100*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -20. What is the greatest common divisor of 3 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 - 34585*s**4 - 87418985*s**3 - 94637313275*s**2 - 36242253985750*s + 72863757130000 = 0. Calculate s.\nAnswer: -2005, -904, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t. Let c(g) = -1 + t - g - 6*g**2 + 2 + 3. Let s(x) = 7*x**2 + x - 5. Determine 6*c(n) + 5*s(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16721a33 + -2?\nAnswer: -16721a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 87, 129, 173?\n\"Answer: s**2 + 37*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 7*b**2 - 7*b - 2. Let t be g(8). Let p = -14 - -36. Is t\/(-4)*p\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1147 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20112121202 (base 4) to base 13\nAnswer: -5b840a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(6\/(-40)). Let h(a) = a**4 + a**3 - a + 1. Let w(s) = 2*s**4 + 7*s**3 + s**2 - 5*s + 5. Let d(c) = l*h(c) - w(c). Factor d(x).\nAnswer: x**2*(x - 1)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15746, 16212, 16650, 17048, 17394?\nAnswer: 17676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 351 or -0.014891?\nAnswer: -0.014891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 32*c**2 - 30*c + 30. What are the prime factors of d(-31)?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.06 (b) -3\/4 (c) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -71*x**4\/4 + x**3\/3 + x**2\/2 + x - 13. Let z be j(-1). Let c = -1 + 9. What is the highest common factor of c and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1274, 1276, 1278, 1280, 1282?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 divided by -4?\nAnswer: 475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -41*p**2. Let n = 3 - 0. Suppose n*b - 3*y + 32 = 5*b, 3*y = b + 2. Let k(o) = -o - 2*o - b*o + 12*o. Give k(i(g)).\nAnswer: 41*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.9 and -91.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 32. Let k = -0.7 + 0.2. What is the nearest to w in -2\/5, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1400 = -4*y + 738, 4*v - 2678 = -5*y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, e: 2, x: 4, g: 3}. Give prob of sequence ie.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 624844932*s*u**3 + 374*s*u**2 + 4*s - 737*u**2 wrt u?\nAnswer: 3749069592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.868599 rounded to three decimal places?\nAnswer: 238.869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 + 5012*f**4 - 1521568*f**3 - 30416304*f**2 - 103245696*f - 97079040 = 0. What is f?\nAnswer: -15, -2, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 26296 + -2)\/7. Let j = -3763 + z. What is the common denominator of -5\/8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (6 - (5 - 2))) + -15 + -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3*t + 5. Let h be 2\/(-4) + 22\/(-4) + 3. Let f(m) = 2*m**2 + 5*m + 10. Let u(g) = h*f(g) + 5*v(g). Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50641 is divided by 7228.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27408 < 27411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4900944*y**4 + 2*y**3 + 108704870*y**2 wrt y?\nAnswer: 117622656*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-20)*(-1)\/(10\/(-8)). Suppose -3*x + 3\/2*x**c + 3\/2 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)*v**(-2\/15))**(-12\/7) assuming v is positive.\nAnswer: v**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1*(-3)\/3). Let o(n) = 20*n**2 + 2*n + 2. Let b be o(v). Calculate the common denominator of -81\/20 and ((-2)\/(-4))\/((-16)\/b).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzdddcqqdztztfcf. Give prob of sequence zd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -280*(-13)\/(-312)*12\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422069399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 - -179. Suppose 39*i - p*i = 2072. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 6*(-2 + -1 + sqrt(2156) - sqrt(2156)) + (1*sqrt(2156)*1 - (sqrt(2156) - (sqrt(2156) + 0 - sqrt(2156))*2)))*-4)**2.\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*l = 4*c - 67, -2*c = 5*l - 53. Find the third derivative of y**2 - c*y**2 + 140*y**6 + 52*y**6 + 32*y**2 + 61*y**2 wrt y.\nAnswer: 23040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -51*f**3 + 11*f**2 + 11. Let k(p) = -10*p**3 + 2*p**2 + 2. Suppose -4*x = 54 - 46. Determine x*w(b) + 11*k(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121c33b - 16?\nAnswer: 121c325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, -2\/29721 in decreasing order.\nAnswer: 0.3, -2\/29721, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -52620 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 + 16819909*j - 1296096075 wrt j?\nAnswer: -6*j**2 + 16819909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -934 - 484 = -2*m. Suppose 7*z = -163 + m. Calculate the remainder when z is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.052 to 0 decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 60*q + 594. Let j(n) = n**2 - 48*n + 593. Determine 4*b(f) - 5*j(f).\nAnswer: 3*f**2 - 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.23 - -4.47. Let c = v - -20.3. Let w = 28 - c. Which is smaller: w or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(sqrt(80) + 1) + 4 + (sqrt(80) + (0 + sqrt(80) - sqrt(80)))*4 + sqrt(80) + -3.\nAnswer: 9 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 72051384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(7\/3))**(-1\/23) assuming b is positive.\nAnswer: b**(-13\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + l**3 - 3*l**2 + (-1 + 4*l**2 + 1)*(-2*l - 1 + 1) + l**3 - l**3 + l**3 - 2*l**3 + 4*l**3 - 3*l**3)*(3 - l + 2*l - 5).\nAnswer: -7*l**4 + 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 = 2383*k - 2386*k, 2*k - 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 723 = -0*r - k, 5*r - k = -897. Let x = 541\/3 + r. What is the third smallest value in 1\/6, -0.5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5893697\/196 + 30070. Find the common denominator of 113\/1988 and d.\nAnswer: 13916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**3 - g**2 + 1. Suppose 3*t = -3*z + 4 + 20, 3*z + 5*t - 26 = 0. Calculate the remainder when h(1) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 21*n = -36 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2\/3 + 174*u - 24904\/3 = 0.\nAnswer: -566, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x - 21. Let k = -18 - -24. What are the prime factors of n(k)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1268529 and 1556.\nAnswer: 5074116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -998096.69 rounded to the nearest ten thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/12*(34 - -2). What is the units digit of (15 - q)*1\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133.83 - 2.83. Let y = t + -115. Which is bigger: y or -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 46.2. Which is the third smallest value? (a) t (b) 3 (c) 2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**2 + 210*d + 205 = 0.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5592 + 6)\/(57\/76)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/5 + 8*z**4\/5 - 8*z**3\/5 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.43 - -4.73. Let m = -42.3 + s. What is the third biggest value in 2, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 94*n.\nAnswer: 94*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 176*t - 14. Let a be u(4). Let j = a + -336. Suppose p = 7*p - j. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-1*sqrt(9)) - ((-2*sqrt(13) - sqrt(13))**2 + 4).\nAnswer: -121 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*g**2 + 348*g - 348*g + (0 + 0 - 1)*(-g + g - 2*g**2) + 3 + g**2 - 3 + (-3*g + g + 0*g)*(-2*g + 6*g - 2*g) in the form a + y*g + b*g**2 and give b.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/310552825 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - -432. Let w = 577 - s. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 7. Calculate i(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -47*p**3 - 19*p**2 - 23*p - 1. Let l(v) = 28*v**3 + 10*v**2 + 12*v. Let f(j) = 3*d(j) + 5*l(j). Let z be (-1)\/6 - 26\/(-12) - 7. Determine f(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)*v\/v**30 assuming v is positive.\nAnswer: v**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let w(r) be the second derivative of 0 + 3\/4*r**4 + 0*r**3 + 0*r**2 + 7*r. Calculate w(l(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*n + 57*n - 3*n + 16*n - 33*n.\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -51 - 57 - (-4 + 0 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 115 = 12*m. Let l be ((-56)\/(-40) - (-3)\/m) + -7. Let c(w) = w**2 + 5*w - 5. What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x = 3*c + 225, 257*c = 3*x + 260*c + 129 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8136, -16062, -23966, -31848?\n\"Answer: 11*m**2 - 7959*m - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/459*(-30)\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -315*y**2 + 27*y. Let w(a) = -45*a**2 + 4*a. Suppose 15*f - 29 = -434. Determine f*w(m) + 4*b(m).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/12*14*-1. Let h = l - 5. Let s be 174\/((-4)\/40*h). What is s rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 1203532?\nAnswer: 1203533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-6)*1\/(-4). Let g = -21 + 29. Find the second derivative of 5*q + 7*q - g*q - z*q**3 wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 19. Let c = 123 + t. What are the prime factors of c?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -29226*z**3 + z**2 - 2*z. Let l be u(4). Let w be ((-175076)\/6)\/(1\/36). Let m = l - w. What is m rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {p: 2, n: 2, l: 2, i: 1, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -129*j**2. Let t(r) = -34*r**2. What is t(c(m))?\nAnswer: -565794*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k - 2*b - 4, 2*k - b = -1. Is (k\/2)\/(2\/(-452)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(170\/(-4) + (-1 - -4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2. Let w(n) = -n. Let a(m) = m. Let o(c) = -a(c) + w(c). Determine q(o(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 565.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:11 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 964760.8kg?\nAnswer: 964.7608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbqhqqbbbb. Give prob of sequence kh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -677 (base 11) to base 6.\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 1 - 13. Suppose 0*q = r*q + 54. Let y = q + 48. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -13898\/1787?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147548, -147568, -147608, -147674, -147772, -147908, -148088, -148318?\nAnswer: -148604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 50?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-6) - 464\/696.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.8996 rounded to one decimal place?\nAnswer: 57.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*z**2 - 2303*z**2 - 4*z + 760*z**2 + 768*z**2.\nAnswer: -164*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9923668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 2. Suppose -12 = -3*y - 0. Suppose -s - y = -6. Solve -v = 4*p + s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 5. Suppose -v + k = -0*v. Calculate the least common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -167778.\nAnswer: -1677780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**3 + 5*y**3 - 3*y**2 + 5*y**3 - 2*y to u*y**2 + i*y**3 + t + d*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 32 = 23. Let m be a*(-1)\/(-3) + 0 + 0. Sort 2, 0, m.\nAnswer: 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 31*y - 168504. Let s = -14 + 19. Find the second derivative of 31*w**s - 4956 - 11*w + y wrt w.\nAnswer: 620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 >= -0.36351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074 = 3*k + f, 494 + 917 = -2*k + 5*f. Let j be (-2)\/(-3) - (-471)\/k. Let w = -141\/1001 + j. Sort 2\/17, -1, w in ascending order.\nAnswer: -1, w, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4164\/(-18) - 2\/3. What is the tens digit of 6\/27 + h\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (552\/(-18))\/(4\/(-18)). Let q = b + -96. Suppose 0*s - q = -3*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6551 + -6603. Let o(c) = -c - 2. Let f be o(-3). Let i = -5 + f. What is the third smallest value in 1, k, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*n + 5587, -2*n - 86 = -80. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17056050, 17056047, 17056044, 17056041, 17056038, 17056035?\n\"Answer: -3*i + 17056053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -19. Let m = j - -5. Calculate the remainder when 4\/(-10)*300\/m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83567*b**3 + 2210*b**2 - 238553436*b?\nAnswer: -501402*b + 4420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1)\/(-18)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -123 from -134101.\nAnswer: -133978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1200)\/70)\/(((-35)\/49)\/5*-2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -22, -18, 6, 56?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/23)\/(h\/(h\/(h*h**(-6\/7)*h))) assuming h is positive.\nAnswer: h**(-198\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -16*g - 0*g. Let u(r) = -69*r + 17. Is u(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 2*m)*(-12 + 12 + 11*m)*(5 - 2 + 1)*(0 + 1 + 1).\nAnswer: -176*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/260 and -41\/3016?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 34. What is the remainder when n is divided by (4 - (4 + -3 + 3)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -522, -138, -3, 5, 2 in ascending order.\nAnswer: -522, -138, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14064914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8728 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -17, -12, -5, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -2*y + 3*y. Let p(u) = u**3 - 22*u**2 + 21*u + 9. Let q = -73 - -94. Calculate the remainder when y is divided by p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 14. Let b(l) = l**2 - 11*l + 22. Let g be b(c). Solve -g = t - 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(-8 + 8 + 3*o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27329009?\nAnswer: 181, 150989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 64458152 and 0.032794.\nAnswer: 64458152.032794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -293\/5 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -369*q**2 + 2*q + 369*q**2 + 10*q**4 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 - 32872*d + 65728 = 0.\nAnswer: 2, 8216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 3*i**2 + 2. Let q(g) = -2*g**3 - 4*g**2 - g + 3. Let d(f) = 2*q(f) - 3*w(f). Let s be d(2). Solve s = -2*v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -9*d + 4*d. Let f be 10\/(-8)*-2*d. Solve -2*u = u + f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35923, -37186, -39291, -42238, -46027?\nAnswer: -50658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45262798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 588*u**2 - 28812*u.\nAnswer: -3*u*(u - 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 123. Calculate the smallest common multiple of w(11) and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23663 + 4?\nAnswer: -2365b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*k - 0*k + 52 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*n - 11*n - 7*n + 11311*n**2 - 54083*n**2 + 32*n)*(-n - 4*n**2 + n) to a*n + l*n**3 + q + y*n**2 + i*n**4 and give i.\nAnswer: 171088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + 1502 = -14*q + 4670. Calculate the greatest common factor of 1947 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 9. Let v = -66836 + 66826. Put b, -2, v in ascending order.\nAnswer: v, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 3. Let c be p(-1). Let k be (10\/6 - c)*11010. Round k to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7454*5\nAnswer: -13.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -71.999866. Round o to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 99\/6 - (-640)\/(-40). Find v, given that 0 - 3\/2*v**4 + 1\/2*v**3 + z*v**5 + 3\/2*v**2 - v = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 66. Let u = 8749 - 8781. Calculate q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*4\/75)\/(34\/12903*11)*15.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34583633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5009 + 5009.2. What is the nearest to -312 in -0.3, 4, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3853431 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: Suppose 5*m = -5*u - 590, 270 = -3*m - 5*u - 88. Let y = 121 + m. Solve 0 = -s - 2*v + 3, y*s - 2*s + 21 = 4*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, y: 1, v: 1, u: 1}. Give prob of sequence ul.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, 4, 2 in ascending order.\nAnswer: 2, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/5516*(-448)\/5. Let u = y + 2\/197. Suppose -r - 8 = -5*r. Which is the second biggest value? (a) -5 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 divided by -33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**22*q**9)\/((q**23*q)\/q*q\/(q**23\/q)) assuming q is positive.\nAnswer: q**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(1\/(-10)). Let q(t) = -t**2 + 12*t + 48. Let v be q(z). Solve v*c = 2*b + 16 - 6, -4*c - b = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o + 5*o + 5*o - 2*o - 2*o + 4 + o - 4 + (-4 + 2 + 0)*(3 - 2*o - 3) - 4*o + o + 2*o - 2*o + 3*o + o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (3 - -12 - 12). Let d = 3 + -3. Solve -3*o + 2 - h = d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14342900 to the nearest one hundred thousand.\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 + c**5\/6 - 3*c**4\/8 + c**3 - 455*c**2. Determine w(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 times 4.2\nAnswer: -911.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 1173595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:34 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 125. Let d(a) = 76676*a. Determine x(d(q)).\nAnswer: 5879208976*q**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -5.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -12 + 4)*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2))**2*5 + sqrt(2) + 1 + -4 - (-3 + -4 + (1*sqrt(200) + sqrt(200) - sqrt(200))**2).\nAnswer: -156 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17 + 1)*6\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2\/21*i**3 - 16\/21*i + 32\/7 - 10\/21*i**2 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v**3 + 8*v**2 - 11 + 3*v**3 - v**4 + 6*v**3 - 15*v**2 + 3*v**3 to n*v**2 + k + m*v**4 + f*v**3 + z*v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509661 is divided by 11268?\nAnswer: 11017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159005303*n**3 - 142997185*n**2?\nAnswer: -954031818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*g**2\/3 - 3874*g\/3 + 1108\/3.\nAnswer: -2*(g + 277)*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 26 + 21*k**2)*(-5*k - 2*k + 5*k) - k**3 + 4 - 4 + (-k**2 - 4*k**2 + 6*k**2)*(3*k - 2*k - 3*k) to the form s + a*k + l*k**2 + h*k**3 and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 12, x: 1}. Give prob of picking 2 c, 1 x, and 1 q.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -51*v + 15. Let i be o(0). Suppose 1 + 14 = i*u. Which is the nearest to -1? (a) -0.54 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhhhphhhhphh. Give prob of sequence pphh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 499*l**4\/2 - l**2\/2 - l - 182. Is x(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118384276624542 take away -5?\nAnswer: 118384276624547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 24 = -2*k + 6*k, -2*k + 6 = p. Suppose i + 3 + 4 = -k*z, -3*i - 2*z = 1. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -18*y - 521. Calculate w(-31).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -3, 3, -1\/9, 1\/3166 in descending order.\nAnswer: 3, 1\/3166, -1\/9, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, l: 8, w: 6}. What is prob of picking 1 n and 1 w?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*k**3*l - 25788*k**3 + k**2*l + 34*k*l - 3*k - 9006*l wrt k?\nAnswer: -48*k*l - 154728*k + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 9. Let l be d(-6). Let h(s) = -s + 3. Let n(f) = f - 7. What is l*n(g) - 7*h(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9806 or -9835?\nAnswer: -9835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*m + 42 = -212*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422 = -6*c - 144. Calculate the remainder when c is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26*l**2 - 7*l - 11. Let i(x) = x**2 - x - 1. Let h(t) = a(t) - 5*i(t). Does 27 divide h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.63 (c) -0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78857*d**3*l*u - 18*d**3*u**2 + 248*d**2*l*u**2 - 3*d*l*u**2 - 20*l wrt d?\nAnswer: -473142*l*u - 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca (base 13) in base 4?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23607000 to the nearest 100000.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 1332. Let g be 0\/1 - f\/(-6). Let a = g - -32. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25.7, -1.7, 1, 0.047, -1, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 10*b + 11. Let u be z(-11). Suppose 2*h + 2*h - 16 = u. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/13)\/((y\/y**22)\/y*y)*y**(-15)\/(y\/y**20) assuming y is positive.\nAnswer: y**(323\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 324*s - 174. What is the hundreds digit of m(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*((-56)\/(-105) + 1\/(-5)). Let m = -0.3 + 0.8. Which is the fourth biggest value? (a) 2 (b) x (c) 0 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 3*l. Let t(x) = -x**3 + 6*x**2 + 2*x - 2. What are the prime factors of t(l)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19738 and 3.\nAnswer: 2.80262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13820389, 5 in decreasing order.\nAnswer: 13820389, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkll when four letters picked without replacement from {k: 8, l: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.96257 + 0.03743. Are -2.4 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:05 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*j + 45656, 0 = 29*d - 32*d + j + 34246. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t + 196. Let k = -1451 + 1410. Let j = k - t. What is the lowest common multiple of j and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 8cbc?\nAnswer: -8cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/9 and 1\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 + 2*b + 2. Let c be g(-3). Suppose 3 + 7 = c*y. Let i(u) = y + u + 0 - 1. What is i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53eb6 (base 16) to base 11.\nAnswer: 215286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -252 and 57.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 43)\/(-4))\/(7925\/9510) + (1 - 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2045191625 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**4 + 4*b**3 - 8*b**2 - 4*b.\nAnswer: 4*b*(b - 1)*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73547732 divided by -1.\nAnswer: -73547732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -30*r - 79. Let g(x) = -5*x + 6. Let p be g(3). Is m(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from ttyyftccsysfycl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13878 is divided by 267.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z, 104 = -5*f - 0*z - 2*z. Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.013378 months?\nAnswer: 0.0004177815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 7*f - 12. Let l be p(-4). Suppose l*u = -4*u + 40. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 - 6*n**5 + 3*n**5)*(5 - 4 + 1) - 3*n**5 + 5*n**5 - 4*n**5.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 39. Let b be o\/((-3)\/6 - 1). Let y = b - 20. Calculate the highest common divisor of 66 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h**2 + 38*h**2 - 2*h**3 + 35*h**2 - 109*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 19*c - 72. Let b(f) = -139625*f. Calculate m(b(v)).\nAnswer: -2652875*v - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 941422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*l + 41*l - 257*l to f*l + x and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 203 = 4*p. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 6*m + 2. Let s be b(-4). Let p(c) = -c - 13. Let i be p(7). Let r be (-12)\/s*i\/6. Solve r*u = -u + q + 6, 0 = -2*q - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57284 and 990.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:47 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70052673\/1661 + -42175. Is r greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34477*u + 46182 = 33940*u for u.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*k**3 - 493*k**3 + 225*k**3.\nAnswer: -623*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -101002000?\nAnswer: 101002013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/17*(-153)\/(-63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {n: 1, k: 2, c: 1, l: 10, f: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2)*6*-4)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0 - 6. Suppose -122 = -3*v + 2*j + 69, 5*v = z*j + 313. Suppose 0 = 4*a + 5*p - 85, -5*a + v = -2*a + p. Solve -4*n + 0*n = a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.8.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29210365 to the power of 1\/2, to the nearest integer?\nAnswer: 5405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -48, -75, -92, -87, -48?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.143.\nAnswer: -1.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 3*j + j + 4*j - 3*j - 2*j + (j + 0*j + j)*(1 - 5 + 3) + 3*j - 3*j - 2*j + (8 + 10*j - 8)*(-1 - 1 + 0).\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94484215 to the power of 1\/2, to the nearest integer?\nAnswer: 9720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2128 and 9728.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 330 + -210. Suppose 4*z - 190 = 2*y, y = 2*y + 3*z + x. Let w = 188 + y. What are the prime factors of w?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6488\/2730*(-1)\/(-76). Let i = -2\/741 + j. Which is bigger: -1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 * 3804980\nAnswer: -1179543.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 23*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i = -115*i - 17*s + 34, -4*s + 2 = 3*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300382, -600760, -901138, -1201516, -1501894, -1802272?\nAnswer: -2102650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((275\/11)\/5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (36 + -12)) + -2 + -12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329964230 divided by 65992846.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*v = 181, -4*v - 12 = 4. Suppose -h*k = -30*k - 111. Let u = k + -32. Solve 0 = 3*m + 5*d - 1 - 5, -u*m - 6 = 3*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430020 and 2880.\nAnswer: 6880320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -1\/7, -5985?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v*(v*v\/(v**(-2)\/v))\/v*(v\/v**(-6))\/(v**2*v)*(v**(2\/3)*v)\/v**(4\/5)*(v**(1\/2))**(2\/87) assuming v is positive.\nAnswer: v**(2557\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/252 and -21\/2.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11918, 48743, 110126, 196067, 306566, 441623, 601238?\n\"Answer: 12279*m**2 - 12*m - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9798 * 2.9\nAnswer: 28414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 18. Let j(l) = l - 6. Suppose -4*p - 12 = -4*k, k + 3*p + 11 = 3*k. Let f(t) = k*b(t) - 7*j(t). What is f(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7702?\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p + p)*(3*p + 0*p - 2*p) + (-p + p + 3*p)*(p + 2 - 2).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdb. Give prob of sequence bdd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o**4 + 2*o)*(5 + 2*o - 2 + 2*o)*((-11 + 32 + 57)*(4 - 1 - 2) + 1 + 0 + 1).\nAnswer: -640*o**5 - 480*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121201 - 111?\nAnswer: -122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, 0, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = 3*t - 2, -5*t - 4 = 2*g. Let n = -122 + 148. Suppose n = 7*o - 58. Calculate the smallest common multiple of o and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292)*-2)**2*-5.\nAnswer: -125840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 5*n**2 - 5*n + 3. Let j = 56 + -35. Calculate the remainder when j is divided by b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 80, 112, 146, 182?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 8 + 1145586919*i - 1145586919*i + 10*i**2.\nAnswer: 10*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 44. Let j = -11 + u. Which is the closest to 1\/4? (a) j (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l\/(l\/l**(-8))*l*l*l)))\/l)**(9\/4))**(-2\/11) assuming l is positive.\nAnswer: l**(45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*s + 16 = 0, 5*s - 14 = -0*u - u. Let d = u - 4. Let y(v) = v**3 + v**2 - 6 + 3*v**2 - 8*v**2 - 1 - 4*v. What is y(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/328 + 623\/984. Factor 0*r + z*r**2 + 8\/3*r**3 + 0.\nAnswer: 2*r**2*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23062 and 13858?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281299, -562602, -843905, -1125208?\nAnswer: -1406511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(3) - (sqrt(3) + sqrt(48)*-3)))**2*-3.\nAnswer: 864*sqrt(3) + 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/6)\/b*b)\/b*b)\/((b\/(b\/b**(4\/7)))\/b)*(b\/(b**(1\/8)*b))\/b**9)**(6\/7) assuming b is positive.\nAnswer: b**(-1321\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -57*f + 519. Let p be u(9). Let q = 5 + 0. What are the prime factors of ((-46)\/p)\/(((-5)\/3)\/q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 30*w - 8. Let j be d(-5). Calculate the highest common divisor of 486 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*j + 1 = -7, 3*c = -4*j + 1. Let q(m) = 7*m**3 - m - 1. Let o be q(c). Let r = o + 3. Do -5 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6761521 divided by 520117?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1371*r**5 - 2531*r wrt r?\nAnswer: 27420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 4*r**2 - 15*r - 27. Let i be n(-3). Solve 28*o - 27*o = i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 4 - (-2 - 1). Let k be -1*(g + -5 + 2). Let p(z) = -2*z + 5*z**k + z**3 + 3*z - 2*z**3. Determine p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -95. Let k = -3523\/63 - -164\/3. Let t = k - -10\/9. Which is the nearest to -2\/7? (a) -0.3 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1019 + 7113\/7. Let w = -104 + 114. Suppose -4*v - w = 6. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122012000 + 1112102?\nAnswer: 200201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 + q**4\/6 + 13*q**3\/6 + 7268*q**2. Let g(i) = 6*i**2 - 21*i - 66. Calculate 4*g(r) + 21*l(r).\nAnswer: 3*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -48367.05 to the nearest 10.\nAnswer: -48370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2 + 3*c - 5 + 6 - 4*c**2. Let a(z) = z**2 - z + 1. Calculate -2*a(v) - b(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0589 to 3 decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (-7 - -50 - 28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:48 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1886.7 - -1887. Which is the smallest value? (a) -4 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 577213722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7404 and 598.3?\nAnswer: 4429813.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -10*l + 182. Let s be c(18). Suppose -2*f - t = -s*t - 1293, -f = -4*t - 643. What are the prime factors of f?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17285, 34571, 51857, 69143?\n\"Answer: 17286*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:04 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58295 is divided by 29005.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y - 18. Give x(-4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from anqqnqqaaaqq.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 18*c**2 + 30*c - 49. Is o(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/44*(-4)\/(-63)*1*(-54)\/18.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + l + 34, -o = 2*o - 5*l - 38 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 + 8.86. Let b = r + -8.94. Let m = 0.16 - b. What is the nearest to 5 in -4\/5, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 23 = 2*d. Suppose 8 = -3*v + d. Suppose 3*h + 4*i - 59 = -2*h, 4*h = -v*i + 40. Solve 0 = m + 4*m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162991 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 - 11*i + 11*i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + s - 5*s + s - 2 + 2 + 3*s - 2*s - 3*s + (2 - 4 + 0)*(3*s - 6*s - s) as f*s + j and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0259013 tonnes?\nAnswer: 25901300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from swxswxxxet?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978218 divided by 219802?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 401, 412, 389, 344, 289?\n\"Answer: 2*z**3 - 29*z**2 + 84*z + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.107867+-592077\nAnswer: -592076.892133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2658861914.\nAnswer: 2, 17, 43, 1818647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.166174222 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 5. Let r be o(7). Suppose 10 = 2*c - 0*s - r*s, -2*c + 4*s = -12. Solve 3*z = c*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.672 kilometers in centimeters?\nAnswer: 68167200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -b + 5, -5*b + 0 = a + 3. Suppose 36 = -6*c + a*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let m be (-3)\/(-2) + (-4)\/(-8). Let n be (-4)\/(-10) - (-106)\/10. Let t(i) = m*i**2 - 11 + n. Determine t(a(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 3 (c) -0.5 (d) -0.9 (e) 0.49 (f) 56\/3 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1949 - 762. List the prime factors of t.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 1)*4\/6. Suppose -3*r + 25 = 2*a, -5*r + 26 = a - 4. Let y(k) = -11*k + 60. Let v be y(a). Is v != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 - (-264)\/30 - 2*(-14)\/(-10). Is -28 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.3. Let w = l + -0.2. Which is the second smallest value? (a) w (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(6 - 8 - 12)*(-218*c**3 - 6996*c + 6996*c).\nAnswer: 6104*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1*sqrt(11) + -1 + sqrt(11) + 1 + sqrt(1331) + sqrt(11))**2 - sqrt(33)\/(-1*sqrt(108) - sqrt(108)).\nAnswer: sqrt(11)\/12 + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(4 + (-4929)\/1236)*-3750. Suppose -338*y = -336*y - w. What is y rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 + f - 2. Let u be i(4). Suppose 588 = 6*t - u*t + 4*m, -4*t + 579 = -5*m. Suppose y + t = 2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 - 4*b - 17. Let d = -29 - -36. Let f be c(d). Let v be (-1)\/3 - 13\/(-3). Solve 0 = t + 3*i + 9, 0 = -3*t - v*i - f - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-two fifths of a millimeter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -j - 37, -3*j = -2 + 5. Let d(i) = 12*i - z*i + 3*i. Let h(b) = -b**2 + 11. Determine h(d(k)).\nAnswer: -9*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 3. Let a be (-70)\/(-42) + 8\/6. Suppose 13 = a*k + 3*u - u, 3*k - 4*u - 19 = 0. Calculate the smallest common multiple of k and n(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:25 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*v - v - 19, -q + 5*v = 2. Suppose -4*z = -4*d + z + 945, d - 238 = q*z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.03 (c) -0.21 (d) 0.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11794184 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - 10. Suppose 0 = -u - 5*s + 4 + 16, 5*u - 5*s = -50. Let w be 10\/j*(-6)\/u. Solve -m = w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let w(c) be the first derivative of -c**5\/60 + 2*c**2 - 2. Let p(q) be the second derivative of w(q). What is m(p(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/99 + -431\/693. Let t = -114 - -911\/8. Sort b, t, 3.\nAnswer: b, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*w - 3*j, 1359*w = 1355*w + j + 21. Let p be 5\/2*12\/10. Suppose -z - 3 + 11 = -4*n, -n + 66 = 4*z. Solve -p*q - z = -w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slbblllhbhla. Give prob of picking 1 h, 1 a, and 1 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -8*w + 223. Find the first derivative of -w - 3*j**2 - 4*j**2 - 8*j**2 + 0*j**2 wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*s - 13 = b, 0 = -4*b + s - 19. Let x(t) = -t. Let d(v) = -6*v - 2. Let w(m) = d(m) - 2*x(m). Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(33\/60) + 5. Let w be 4 + 4410001 + 10 + d. What is w rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -387.45 (b) -0.15 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-23)\/(-15) + (-10)\/(-30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -14. Let a(y) = 68*y**2 + 15*y + 28. Give a(c) + 2*s(c).\nAnswer: 68*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(171))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20703 is divided by 20584.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 4 = 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/53235*-203 - 4\/26?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 334*t - 337*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7222.0563 minutes to days.\nAnswer: 5.015316875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/92, 6.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1 + 0 - z + 3. Let t = 14 + -19. Let k be y(t). Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32723427201 - -0.4?\nAnswer: -32723427200.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 13. Let h be c(6). Let g(q) = -h + 1 + 494376*q + 62766*q. Let j be g(-7). Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -4*s, -4*d - 2 = 3*s - 11*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, 0.2, 3\/7, 4, -0.401?\nAnswer: -0.401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4404505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p + 3*o, -2*p + 0*p = o. Let b(h) = -h + h**p + 3 + 4*h - h**3 + 0*h**2. Let n be b(-2). Solve 2*v - 3 = -n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29303 (base 12) in base 10?\nAnswer: -57459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/19 - 85066*x**3\/19 + 1121213520*x**2\/19 - 169285375616*x - 18178969207841792\/19.\nAnswer: 2*(x - 15064)**3*(x + 2659)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 6313 = -10*t - 5*o, -5*t + 4*o = -10497. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4827*r - 1. Let z(i) = 4*i**2. Calculate g(z(t)).\nAnswer: -19308*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194717 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37116 + -0.12884. Let v = -0.2 - -0.1. Let n = 49\/4 - 743\/60. Which is the nearest to v? (a) n (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15863 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12231*r**3 - 73*r - 77*r - r**2 + 149*r.\nAnswer: -12231*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsavhaws. Give prob of sequence wvh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/4 + -2)*1. Solve 5*j - s = 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7578207 is divided by 110?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1000010 (base 2) to base 3\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 23*a**7\/42 + 7*a**3\/3 + 9*a. What is the second derivative of q(u) wrt u?\nAnswer: 460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.354 and 3.\nAnswer: 2.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -4*q, 3 = 3*q - 0. Sort -5, b, -0.4.\nAnswer: -5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + -1097\/7. Let m = -143.347 - -0.347. Let f = 145 + m. What is the second biggest value in f, 1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 236\/9 - (-24)\/(-108). Let b be a\/143 + (-130)\/(-11). Solve -4*c + b = 5*z, -c + 6*c = -z + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 5*x - 6. Suppose -q + 5*z = 18, q = -4*q - 5*z. Let r be k(q). Solve r = t + t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 12) to base 14.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72852, -72866, -72888, -72918?\nAnswer: -72956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 158*k**2 - 2*k + 7. List the prime factors of y(2).\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 2644810.7094\nAnswer: 2644784.7094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b. Let s = -5 + 7. Let q(z) = z**2 + 2*z**2 - z**s. What is q(g(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 361 + -33b1?\nAnswer: -3050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2323 - 6.8323. Which is the fourth smallest value? (a) -2 (b) g (c) 1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 14}. What is prob of sequence du?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11)*2 - sqrt(11))*-4 + sqrt(121)\/(-3*sqrt(11) + sqrt(11)).\nAnswer: -9*sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -13*o**6\/120 + 11*o**4\/24 + 11*o**3\/6 - 5*o**2. Let s(j) = -7*j**3 + 6*j + 6. Calculate -6*q(c) + 11*s(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 13. Suppose 12*x - 4 = 10*x. Let t(d) = -d**2 + 8*d - 3. Let p = -2 - -8. Let b be t(p). Let a(f) = f + 3. Give b*a(k) + x*c(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*w + 566 + 570 + 38*w + 472 in the form v*w + y and give y.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 444233 - 121333?\nAnswer: 322400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -3*d + 2*j, 5*d + 6*j - j = -160. Let u be (-4)\/(-6) - d\/6. What is the third derivative of u*p**3 - 21*p**2 - 4*p**3 - 21*p**4 - 2*p**3 wrt p?\nAnswer: -504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -8 - (17 - (-10 + 15 + -20)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:06 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 9*y**2 - 7*y + 8. Let k be p(-8). Suppose k*d + 25 = 5*d. Solve 5*r + 15 = -2*b, d*b - 2*r - 45 = 2*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 5*t**2 - 4*t + 2. Let o be h(-4). Suppose -3*z = -5*z. Let w be 0\/(-1 + 4 + -2). Solve o*q + z*q = w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0*s - s)*(0 + 3 - 2)*(-1 + 0 + 0)*(2*s - 3 + 3).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12203600686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5270*d. Let o(l) be the first derivative of l**2\/2 - 1119. Determine s(o(u)).\nAnswer: -5270*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(((-20)\/(-298))\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) - -3*(-2*sqrt(112) + sqrt(112)) - sqrt(112)) - sqrt(112))*6)\/((sqrt(576)\/sqrt(192))\/(2*sqrt(12)*4)).\nAnswer: -1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153573 divided by 6?\nAnswer: 2153573\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (12 - 5 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.9312l in millilitres?\nAnswer: 192931.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*j)*(-2 - 3 - 3) + (1 - 3 + 0)*(0*j - 2*j + 0*j).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275))*4 - (-4*sqrt(275) + 0)**2.\nAnswer: -4396 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 602 - 622. Sort 4, 9, x in increasing order.\nAnswer: x, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + v - 3 + 11 + 23*v**2 - 5.\nAnswer: 23*v**2 + v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -19 + -8 + 20?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 540*y**4 + 12*y**3 - 18*y + 265 wrt y.\nAnswer: 6480*y**2 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/7)\/((-4)\/14). Let d = l + 63. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37032 + 344*g - 37058 + 74088.\nAnswer: 344*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g. Let l(r) = -1408*r**2. Give l(a(f)).\nAnswer: -114048*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1640336560 + -2?\nAnswer: 1640336557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14889763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39544860 and 126543552.\nAnswer: 632717760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 11*q = 0. Suppose q = -2*c + 2 + 62. Suppose -m = -5*m + c. Solve r = -r - m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000220120 (base 3) to base 13\nAnswer: -36135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4770232 divided by 30?\nAnswer: 2385116\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/36 and -35\/244.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 2*b**2 - 2*b**2. Let x(i) = 5*i + 3. Let p be x(3). Let o(m) = p*m + 107 - 107. Give o(u(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*i - 259*i + 55*i)*(2*i - 2 + 2) - 9*i**2 - 3*i**2 + 0*i**2 to k*i**2 + j + m*i and give k.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1467)\/(-42)*4*7. What are the prime factors of 6\/(-5)*(-10)\/3 + j?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -i - 31, 3*i = -55*m + 53*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2*o + o**2 - 5*o**2 + 3*o**2 + 3*o**2 + (o - 2*o + 3*o)*(o + 3*o - 3*o) + (o + 0 + 0)*(-2*o + 3*o + 0*o) + 2*o**2 + 2*o**2 - o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63462 and 516762?\nAnswer: 3617334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v**2 - 25*v**2 - 12*v - v**3 + 2*v**3 + 1 + 50*v**2 in the form j*v**2 + f*v + i*v**3 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1708 divide 839820184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 42. Calculate the remainder when 32 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**9\/10584 - m**7\/980 + m**6\/630 + 20*m**3\/3 + 38. Let y(w) be the third derivative of z(w). What is l in y(l) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/(-77) + (-1 - 0). Which is the closest to -0.1? (a) r (b) 7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*i - 225 = -132*i. Solve -i*w = 4*y - 11, -2*y = 5*w + 8 - 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 - o + 7. Let h(m) = 27*m - 22. Let y be h(1). Give u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16124*-0.248.\nAnswer: -3998.752","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.8. Let s be (-21)\/3 + 14 - 2. Put 4, s, o in descending order.\nAnswer: s, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from jsbjjedbdeggjdb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 650, 2453, 5392, 9461, 14654, 20965?\nAnswer: 28388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -50974 and -50970 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 1.884?\nAnswer: -2.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 63*v = -20. Sort 1, 3, 0, v in decreasing order.\nAnswer: 3, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -564 - -996. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1680000 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4 + 70*h**3 - 67033 wrt h.\nAnswer: 4*h**3 + 210*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(2\/11)))\/(((b\/(b**(3\/5)\/b))\/b*b)\/b)*b**2*b*b**(-6)*(b\/(b*b\/b**(-4))*b*b**0\/b)\/(b**(-1)*b**(-2)) assuming b is positive.\nAnswer: b**(-287\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(-5*p + 3*p + 3*p) + (0*p - 3*p - 7*p)*(-p + 0*p + 0*p)*(2 + 0 - 1).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.5 + -10.83. Let z = x + 27.33. Let q = z + -27.999912. Round q to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, 148, 751, 1584, 2641?\nAnswer: 3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 6*o - 1. Let j be v(-5). Let x(n) = 0*n**2 + 8 - n**3 + 5*n - 4 - 5*n**2 + n. Let h be x(j). Solve -f = f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -11, -9, -27, 24, -2 in ascending order.\nAnswer: -27, -11, -9, -3, -2, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*l + 213, -5*n + n + 2*l + 186 = 0. Let d = n + -33. Suppose 25 = 3*t - 77. What is the lowest common multiple of t and d?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 + 6*y - 3. Let c(f) = 5*f**2 + 5*f - 2. Let t(h) = 7*c(h) - 6*j(h). What is t(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 2, -3, -0.6 in descending order.\nAnswer: 2, -2\/13, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 7*c + 21. Let z(p) = -p - 1. Let u(d) = -a(d) + 5*z(d). Let x be u(-8). Calculate the greatest common divisor of x and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9753 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72045098 is divided by 422.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3563496829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u - 9. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*2 - sqrt(352))\/(sqrt(2) - (sqrt(2) + (sqrt(32) - sqrt(2))*-4)) + ((2*1*sqrt(132))\/(sqrt(432)\/sqrt(4) + sqrt(12)))**2.\nAnswer: sqrt(11)\/3 + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 10. Let l(d) = 2*d + 3. Give k(a) - 3*l(a).\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (15 + -9 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.2 (b) -3 (c) 15 (d) 4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 + 4*d + 3. Let w(y) = 4*y**3 - 14*y**2 - 11*y - 10. Let z(k) = -7*f(k) - 2*w(k). Let q be z(-6). Is q\/(-3)*(57 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44, 0.2, -0.1, -3, 1, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 23, 3.\nAnswer: -1, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*v = 4*z - 91, -2*z - v + 54 = 0. Calculate the remainder when 1046 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/4 + 2*w**3\/3 + 3*w**2\/2 + w - 3. Let n be q(-2). Suppose a - 2*a = -n. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/5 + 83935516*d\/5 = 0. What is d?\nAnswer: 0, 41967758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1261339 times -9.2\nAnswer: 11604318.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22060 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -15\/76 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 53 - (-10 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2772 = -5*i + 2*g, 0*g - 558 = -i + 4*g. List the prime factors of i.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 2, 9 in decreasing order.\nAnswer: 114, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168 + 238. Let m be 1\/((-7)\/2) - (-20)\/z. Suppose m*f + f = 3*i + 1635, 4*i = 2*f - 3274. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5314223*p**4 + 8033732*p**2.\nAnswer: 127541352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24968, -49825, -74682, -99539, -124396?\nAnswer: -149253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-6))\/(-2)*(-16 - 2). Let l be (-5)\/3*3*-77. Let f = g + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:23 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**4 - 3*l**3 + l + 2. Let u(c) = -c**3 + c**2 + 1. Let x(i) = -s(i) + 2*u(i). Find b, given that x(b) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r - r**5 + 2*r**5 + 4*r**5 - 7*r**5 + (1 - 1 + 2*r**4)*(3*r - 2*r - 3*r) + 2*r**5 + 3 - 3 + (0*r + 0*r - 2*r)*(-8*r**4 + 5*r**4 - 7*r**4).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -0.1. Let g = -3 - r. Let h = -628 - -632. Which is the nearest to 2\/9? (a) -1\/6 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**2 + 2*i - 11. Determine s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*5\/1*-1. Let l be -3 - (1 - -10 - 0). Let j = f - l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 7245*f - 7244.\nAnswer: -(f + 1)*(f + 7244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488878 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -1. Let l = o + 9. Which is the biggest value? (a) -1 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -161, -722, -1669, -3002, -4721, -6826?\n\"Answer: -193*s**2 + 18*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 58 = -m, -2*j - 2*m + 116 = 2*j. Suppose -j*y + 39*y = 530. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfs when four letters picked without replacement from {s: 4, d: 10, f: 6}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + d + 16 + 41 = -7*l, 2*l + 3*d + 6 - 6 = -28 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962208?\nAnswer: 2, 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -11. What is the hundreds digit of o + 491 - (10 - 15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2424346 + 24201487\/10. Let o = -4193 - s. Calculate the common denominator of o and -67\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6*v + 3893*t**3*v - t**3 + 2056*t**2*v - 21*t**2 wrt t?\nAnswer: -120*t**3*v + 23358*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-84)*6\/(-56).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27d4bb + -a?\nAnswer: 27d4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -25 (b) 2 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201011 (base 3) to base 14.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(0 - (-4)\/(-12)). Solve 3*h + 32 = 4*l, 2*h - 2*l + 30 = -n*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 1. Let u(r) = 3*r - 2. Let b(j) = 3*u(j) - 6*y(j). Let l(c) = c**2 + 2*c. Calculate b(l(d)).\nAnswer: 3*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(24) + sqrt(6))*1)\/sqrt(2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 2\/3*c**3 + 0 - 4\/3*c.\nAnswer: -2*c*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1659 + 2177. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5366.2 * -3.6.\nAnswer: -19318.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 - 4*r**4 + 9*r**4 + (r**3 + 29*r - 29*r)*(-r - r + 2 + 4*r) to the form y*r**3 + c*r**4 + k + m*r + i*r**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 16 = -5*x, 0 = 3*x - 2*s - 2*s - 16. Put x, 2, 4 in increasing order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83.366 + 0.366. What is the nearest to o in 2, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 412*(-77)\/(-84) - 1\/(-3). Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001101101111110100110 - -100?\nAnswer: -11000001101101111110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 104. Which is bigger: g or -3\/151?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -26. Calculate the remainder when 38 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/652 and -35\/18.\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3*s**5\/20 + 9*s**4\/16 - s**3\/4 - 9*s**2\/8 + 3*s\/2 + 137. Find i such that c(i) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16685908, -16685898, -16685888, -16685878, -16685868, -16685858?\n\"Answer: 10*c - 16685918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47002262 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96*35\/1120*7\/15?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + (sqrt(175) + -2 - sqrt(7)) + sqrt(7) + sqrt(21)\/sqrt(12) + ((sqrt(1008) + -1)*5 - sqrt(1008)) + 3)**2.\nAnswer: -444*sqrt(7) + 86311\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9781147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88771170.\nAnswer: 2, 3, 5, 251, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 2*q**5\/15 + q**4\/6 + 6*q**2. Let w(n) = n. Let f(o) = -17*o**2 - 4*o. Let i(k) = -f(k) + 5*w(k). Give 9*a(l) - 4*i(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130373196.\nAnswer: 2, 683, 413753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 3*n + 2. Let u be h(-4). Let x = -10 + u. Put 4, 2, x in increasing order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) - (1 + sqrt(242) + -1)))**2 - ((sqrt(192)\/sqrt(6))**2 - 3*sqrt(6)\/sqrt(3)))*1.\nAnswer: 3*sqrt(2) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-11))\/((-4)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - 8\/14. Let v(g) = 9*g - 1. Let l be v(-1). Let u be l\/16*(-7)\/(-35). What is the closest to r in u, -3\/2, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96.006 - -0.006. Is -0.1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350461 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 - -0.24. What is the third smallest value in -0.5, 4\/7, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/307536472 and 41\/10.\nAnswer: 1537682360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (18 - 13) - -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10867\/2 - 5570. Is -136 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.516*-332785\nAnswer: 171717.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*f - 547*f - 42 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Solve 18*s - 20*s - c = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhh when four letters picked without replacement from hhqhhhhhhhhhhhhhhh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/9, -2\/19, 4\/9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32434361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*m**2 - 2*j*m - 1020313*j + 32*m**2 + 93*m wrt m.\nAnswer: 2*j*m - 2*j + 64*m + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*j + 10*l - 5*l, -5*j + 8 = -4*l. Sort -3, 0, j, -1, 16 in ascending order.\nAnswer: -3, -1, 0, j, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 - 3*b + 3. Let t be g(-3). Let i(r) = r**2 + 9*r + 15. Let m be i(t). Let z be (3 + m)*(-3)\/9. Solve z = 3*l - 0 - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + ((-12)\/(-4) - -31). Suppose f + w - 98 = 0. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o + 0*o)*(2*o - 4*o - o) + o - o - 2*o**2 + 4*o**2 + 2*o**2 + 0*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*m = -8*m - 19, 4*w + 4*m + 28 = 0. Is (370\/5)\/(w\/(-1)) 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 0.2, -1015, 12, -2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1247, -2487, -3741, -5015, -6315?\nAnswer: -7647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 15, k: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuawixas. What is prob of picking 1 i and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 40.4. Let w = j - -6. Which is the biggest value? (a) -3 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*h**2 - 2 - 920*h**2 + 1 + 1 + 801*h**2.\nAnswer: 385*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/3)*f)\/f**(-8\/7) assuming f is positive.\nAnswer: f**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 4*v + 20 = 6*g, -4*v + 25 = -2058*g + 2062*g - 9*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**4\/4 - g**3 - 3*g**2\/2 + 3*g - 4. Let u(b) = 2*b**3 + 7*b**2 + 7*b - 7. Let h = 10 - -4. Calculate h*m(d) + 6*u(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 50797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**28*f**0*f\/(f*f**(2\/7)*f)*(f**8\/(f**(-1\/9)\/f*f))\/((((f**(3\/7)\/f)\/f)\/f)\/f**(-2\/5)) assuming f is positive.\nAnswer: f**(-694\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*28\/(672\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 644 and (-204)\/(-459) - ((-13376)\/36 + 4).\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2148, 11017, 33446, 76215, 146104, 249893?\nAnswer: 394362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34068359 to the power of 1\/2, to the nearest integer?\nAnswer: 5837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**4 - 3*x**2 - 3*x + 5. Let w(l) = -5*l**4 + 3*l**2 + 2*l - 4. Let c(b) = -4*s(b) - 5*w(b). Find g such that c(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeayeeeeyyfeeee. Give prob of sequence ye.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2 + (4 + 0 - 6)*(1 + 2 - 1))*(-8*q + 25 - 25) in the form v*q + c and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.268 and -19.6.\nAnswer: -19.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 42, 67, 92?\n\"Answer: 25*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 193.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -23. Which is the closest to -0.1? (a) 2\/3 (b) n (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 - 83. Let l = u - 115.8. Which is the third biggest value? (a) -2 (b) l (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*q + 22, -7*q + 9*q + 5*k = 4. Let s(g) be the first derivative of -q - 13\/2*g**2 - 5*g. Differentiate s(u) wrt u.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.2, -1.95, 254?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 - 18\/8. Let i = -648.9 - -649. Put -2, i, y in increasing order.\nAnswer: -2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144393024.4 rounded to the nearest 1000?\nAnswer: -144393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 - 106 + 60 + 44.\nAnswer: 7*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2366*b + 18927. Give d(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11513\/3 + -3870. Let y = p - -32. Let k be -2 - ((-1 - 3) + 2). Which is the nearest to -1? (a) k (b) 2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 1, -2\/13, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 63792568*v**2 - 508686338919168*v - 2034746376357888.\nAnswer: -2*(v - 15948144)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2315 (base 6) in base 16?\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 40*n + 21 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7*w\/(w\/(w**(1\/10)*w)) assuming w is positive.\nAnswer: w**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/400)\/((-729)\/2430).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - q - 2)*(q + 0*q + 0*q) + (3 + 0 - 2)*(-4*q**2 - 3*q**2 + 2*q**2))*(222 + 102 - 537).\nAnswer: 1278*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3792*b = -4915*b + 577545 + 171257 for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/105, 5, 41 in increasing order.\nAnswer: 2\/105, 3, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z - 2*z)*(-7*z**3 + 32*z**3 - 3*z**3 + (2 - 1 + 1)*(0*z + 0*z + z**3)).\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 7*y**6\/360 - 5*y**3\/6 + 6*y. Let i(w) be the second derivative of k(w). Let z(f) = 2*f. Determine z(i(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 + (-4 - (-7 - -2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 37636.\nAnswer: 2634.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 6 + 60\/10. Suppose i*o - 97 = 176. What is the remainder when 38 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*f + 33*f - 448. Let s be f\/(-35)*45\/54. Suppose -s + 2*i**3 - 1\/3*i**4 - 13\/3*i**2 + 4*i = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60169044 and 118443.\nAnswer: 60169044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - 200\/95.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 31. Let r(j) = -j + 8. What is r(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*o + 38*o + 22*o)*(4 + 2*o - 4) + o + 2*o**2 - o + (-o + o - 2*o)*(1 - 1 - 2*o) - o**2 + 3*o**2 - 4*o**2 in the form x*o**2 + z*o + c and give x.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10216, 33184, 71464, 125056, 193960, 278176, 377704?\nAnswer: 492544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 23*o + 21*o - 46*o. Let g(r) be the first derivative of -81*r**2 + 11. Let t(d) = 567*d. Let u(a) = -18*g(a) - 5*t(a). What is u(b(c))?\nAnswer: -162*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4093, -4061, -4009, -3937?\n\"Answer: 10*g**2 + 2*g - 4105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151409 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 707.5? (a) -1\/3 (b) 1\/42 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11d22 + -15?\nAnswer: 11d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1327.91717 - -1328. Round k to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72345367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580860387.\nAnswer: 1580860387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibl when three letters picked without replacement from ylyqlyyiqqiyyibiq?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477599449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 3. Let s be (-4)\/((-12)\/15) - -2. Suppose -4*z - 4*n - 7 = -s*z, 0 = 2*z + 3*n + 18. Let o(y) = -y**2 + 2. Calculate z*o(m) - 2*w(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/48*2*6\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18390383 divided by -1?\nAnswer: -18390383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3 and -48\/2159.\nAnswer: 6477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 21\/4*k**2 - 65\/24*k**3 + 125*k + 1\/16*k**4 + 0. Determine l so that t(l) = 0.\nAnswer: 2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -1320.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67465757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1945*d**3 - 4 + 1 + 6 + 1914*d**3.\nAnswer: -31*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 1177215?\nAnswer: 3\/392405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 63*d - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**36)\/(n**(-15)\/n)*n**(-9)\/((n**(12\/7)\/n)\/n) assuming n is positive.\nAnswer: n**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:45 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.5 (c) -1\/6 (d) -17.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-5) + (-3)\/(-1). Let p(j) be the second derivative of j + 2\/3*j**3 - 4\/15*j**6 + 5\/8*j**4 + 0 - b*j**5 + 1\/4*j**2. What is m in p(m) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*y - 8, y + 5*c - c = -13. Let p be y\/(0 - -3) + 7. Solve a = 5*a + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 - -563. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = -13. Suppose -4*w + 45 = a*w. Suppose -w = -d + 6. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380736, -761518, -1142298, -1523076, -1903852, -2284626?\nAnswer: -2665398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-2*10\/4. Sort r, 5, 1.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 28619, 1 in ascending order.\nAnswer: 1, 4, 28619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2 + 3*b - 2. What is l(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*80\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 + 2*f**3*j**2 + 2*f**3*j - 11*f*j**2 - f*j - 6*f wrt f.\nAnswer: 20*f**3 + 12*f*j**2 + 12*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - n + 2*n**3 - 3*n + n.\nAnswer: 5*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.4865 minus 1.4?\nAnswer: 711.0865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35593, -35544, -35495, -35446, -35397?\n\"Answer: 49*v - 35642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -358*d**4*j**3 - 15*d**4*j - d**3*i*j - 4*d**2*i*j + 3*d**2*i - 203*d**2*j - i*j - j**3 wrt d.\nAnswer: -8592*d*j**3 - 360*d*j - 6*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1192 - 5167?\nAnswer: -3a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -293, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 270019, 270180, 270343, 270508, 270675, 270844, 271015?\n\"Answer: u**2 + 158*u + 269860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 786 = 3*m. Suppose 0 = 2*l - f - m, -4*l + l - 2*f = -572. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/33)\/(7497\/1617).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 12 + -5 + -3 + 3 - 89) + -2\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/2090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/1)\/(19\/(-380)*16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 997*f**2 - 864*f**2 - 5 + 1865*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*v - 26*v - 4*x - 118, 0 = 2*x - 10. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584545 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 176 = 5*g, -16*g - 528 = -478*c + 482*c for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, 15.\nAnswer: -12, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/20 - 2*h**4\/3 + 4*h**3\/3 + 3*h**2 - 4*h. Let p be j(7). Solve -2*u - 3 = 4*l + p, -l - 18 = 4*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9) + 8 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45220939\/5 or 9044188?\nAnswer: 45220939\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -380*c - 118 + 11*c**3 + 397*c - 352 + 25 wrt c?\nAnswer: 33*c**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*r**2 + 2*l**2*r - 2*l**2*z + 5*l**2 + 2*l*r**2 - 26*l*r*z + 6*l - 19561767*r**2*z - 3*r*z + 155*r wrt r?\nAnswer: -2*l**2 + 4*l - 39123534*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 171*x**2 + 2409*x + 812. What is q(-13)?\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjjjjtjjjtttj. Give prob of sequence jttt.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5828 is divided by 828?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9857, 39416, 88699, 157706, 246437, 354892, 483071?\n\"Answer: 9862*h**2 - 27*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 16*f**2 + 17*f + 9. Suppose -2*i = -5*g + 53, -5*g + 0*i + 65 = -5*i. Let z be l(g). Let j be -2 - (0 - 1) - -3. Solve -j = -w - z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35108455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 36*f**2 + 68*f**2 - 47*f**2 + 3)*(5*f - 2*f**2 - 5*f) + f**4 + 2*f**4 - f**4.\nAnswer: 32*f**4 - 2*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-307728)\/(-4746) + -66 + (-24)\/(-21).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - n**2 + n**2 + (0*n - 2*n + n)*(2*n - n + 0*n) - 226*n**2 + 139*n**2 + 129*n**2 - 2*n + 2*n**2 + 2*n to u + j*n + f*n**2 and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/20 - -371\/180. Sort -25, 0.2, s.\nAnswer: -25, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145+3433.822\nAnswer: 3288.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20682065557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -36*j - 209. Give u(-29).\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(931) + sqrt(931) + -4*(sqrt(931) - (2 + sqrt(931))))**2.\nAnswer: 364*sqrt(19) + 3893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -301112333 (base 4) to base 16\nAnswer: -315bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3245)\/(-275) + -10)*(-10)\/6*-4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**5 - 99*u**4 - 675*u**3 - 1104*u**2 - 396*u = 0. What is u?\nAnswer: -3, -2, -1\/2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2695, -2690, -2685?\nAnswer: -2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63991?\nAnswer: 89, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177205158 = -57*u - 68464842. What is u rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440.86 minus 13157.81?\nAnswer: -11716.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1976734228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1584, 3125, 4666?\n\"Answer: 1541*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 4*r**3\/3 - r**2 - r. What is the units digit of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -212 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203118)\/(-10121) - (-6)\/(-87)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21989457 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 272924.3ml in litres?\nAnswer: 272.9243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aalallll. What is prob of picking 3 l and 1 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 302 = -299. Let m(b) = 2. Let s(o) be the third derivative of 0*o + 0 + 0*o**3 + 1\/24*o**4 - 1\/60*o**5 - 9*o**2. Determine a*m(y) - s(y).\nAnswer: y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005014 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001 (base 4) to base 7.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(405) + -1)**2)*1 - (-1 + (sqrt(405) - (sqrt(405) + (sqrt(405) - ((-1 + sqrt(405))**2 + 5)) + sqrt(405)))).\nAnswer: -9 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - (sqrt(360) - -3*(-4*sqrt(360) - sqrt(360))))\/sqrt(10))\/(-1*sqrt(24)\/sqrt(2)*6) + 0 + -1.\nAnswer: -5*sqrt(3)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -24.2 (c) 218 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 555\/703*19 - -5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/10)\/(12\/(-220)))\/(((-200)\/(-48))\/(-25))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/(5\/10). Let q(f) = 2*f + 0*f + 1 - h*f**3 + f**2 - 3*f**3 + 0*f**3. What is the units digit of q(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16266*b**2 + 180019*b**2 - 13*b - 7*b + 20*b.\nAnswer: 163753*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 22904096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (25 - (-22 - -35 - -13)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55.7 + 81.4. Let l = p + -0.7. Let q = l - 24.52. Round q to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -3*s. What is the lowest common multiple of 58 and (s\/(-27))\/((-1)\/(-6))*-6?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - 2) + (-6 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37155949?\nAnswer: 31, 277, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -8\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -107. Let s = -70 + 105. Let p = m + s. Which is bigger: 0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 - 4 = 0. Suppose 0 = -o*a - 6 + 2. Calculate the remainder when -26*(a + (-3)\/(-2)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 53*s**2 + 43*s + 2. Let t(k) = -104*k**2 - 85*k - 5. Let r = -191 + 189. Let v(y) = r*t(y) - 5*u(y). What is the second derivative of v(o) wrt o?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -119\/4673, 9?\nAnswer: -119\/4673","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18269498?\nAnswer: 2, 13, 23, 137, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 6*j + 3. Let h = -1 + 2. Let a(v) = -v**2 + v - 1. Let d(u) = h*k(u) + 6*a(u). Differentiate d(s) with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 5*m - 110, 29*o - 472 = -m + 255 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -2. Let k = -11529\/890 - -165\/89. Calculate the common denominator of ((-2)\/n)\/((-3)\/230) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, o: 2, b: 1, w: 1, m: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.75, 1\/2, 0.2, 174, 2\/5?\nAnswer: 3.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 549 and 250 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-6)\/3 - -2. Suppose -t = -3*h - 449, h + 2*t + 18 = -120. Let s = h - -149. Is v at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 8. Let j be c(-6). Suppose w = 2*b - j, 6*w + 2*b - 38 = w. Find the third derivative of -5*t**6 + 3*t**6 - t**w + 5*t**2 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1, -3, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -17*b**3 - b**2 + b + 1. Let y be s(-1). Suppose -5*a + a = -5*n + 36, 0 = -4*n - y. Let j be (-232)\/a - 12\/(-28). Are 17 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**6 + 56*f**4*m*y + 5*f**3*y + f**2*m*y + f**2*y + 5*f*m*y + 2*m*y wrt f?\nAnswer: -240*f**3 + 1344*f*m*y + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11289, 45130, 101535, 180504?\n\"Answer: 11282*x**2 - 5*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + -4 + (1 - 0). Let l = 97 - t. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 7*d**2 - 3*d**2 - 4*d**2 + 6*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 10*o - 12. Let z(y) = y**2 - 6*y. Let v be z(6). Solve o*p = -v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-12))\/(41\/82))\/(5\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2 + 418868*c + 5026992 = 0 for c.\nAnswer: -12, 104729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*t - 175*t + 556*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 4*d + 3*m + 386, 0 = 3*m. Let n = 162 + d. Is n < 83\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -168.\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -63. Let g = -40 - i. What is the nearest to -2 in 2\/7, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -21 - (-22 + (17 - (-3 - 0)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9)*9\/(-1 - -2). Let v(f) = 0*f**2 - 6 - 3*f**2 - f**z - f + 3*f**2. Determine v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00399055977 to six dps.\nAnswer: -0.003991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12918616?\nAnswer: 2, 401, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*k + 2*k + 3 = 0, -4*k + 12 = 0. Let y be ((-1)\/(-3))\/((-1)\/a). Solve 0 = -5*c + 11 - y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.8741994 rounded to 1 decimal place?\nAnswer: -284.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9027 and 2927043.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s = -54*s + 5*c - 16, -4*s - 3*c = -27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -4, -3, -34?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*i = 176*i - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 4}. Give prob of sequence xff.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -762217, -1524449, -2286681, -3048913, -3811145, -4573377?\n\"Answer: -762232*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -5, 7, 1, 91 in increasing order.\nAnswer: -5, 1, 7, 91, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 59?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 0*m + 0*m + (-2 + 2 - 2*m)*(-3*m + 0*m + m) + (-5 + 5 + m**2)*(-6 + 4 + 3) - m**2 + 7*m**2 + m**2 + m**2 - 2*m**2 + 0*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -8, -1550, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080362 to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 75*u**2 - 20 - 26*u**2 - 5 wrt u.\nAnswer: 98*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2047.\nAnswer: 4\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and -1.269328.\nAnswer: -1.209328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 321*g - 3322 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 2979 - 5841 + 2922.\nAnswer: 5*q + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2853, 5662, 8471, 11280, 14089, 16898?\n\"Answer: 2809*a + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + -5.3. Let l be 10\/4*(6 - 4). Suppose 4*n - 13 = l*w, w + 12*n - 10*n = -11. What is the closest to -0.1 in p, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12368 + 12778. Calculate the remainder when 1253 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**7\/840 + u**6\/60 - u**5\/10 + u**4\/3 - u**3\/3 - 3*u. Let t(z) be the second derivative of d(z). Factor t(w).\nAnswer: -(w - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22 (b) -2\/5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 669 + -668.9996559. What is a rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2 + 2*y**3 + 3*y**3 - 2*y**2 + 10*y**3 - 1. What is the smallest common multiple of u(1) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15177)\/20 - (-10)\/(-25). Let o be (1538\/8)\/(5\/20). Let x = k + o. Calculate the common denominator of -31\/10 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*j + 10, -k + 1 = -j + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u + 3. Let l be i(-1). Which is the biggest value? (a) 0 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -27373.1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 != 50124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + 2 + sqrt(304) + (((1 + sqrt(304) - sqrt(304)) + sqrt(304))*-5 - sqrt(304))) + -5)**2.\nAnswer: 12720*sqrt(19) + 276409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 9*a - 2. Let q be i(8). Let b(s) = -25*s**2 + q*s - 6*s. Let x(w) = -555 - 542 + 2*w + 1652 - 555. Give x(b(m)).\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.159315 and 0.1.\nAnswer: -0.0159315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65891 is divided by 305.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1870 is divided by 235?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/97328 and 17\/36498?\nAnswer: 291984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkmwwmgmkkn. What is prob of picking 1 m, 1 n, and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(58\/(-420))*((-276)\/20)\/69.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 508 (base 13) to base 4\nAnswer: 31111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o + 191. Let k(y) = -y**2 + 13*y - 47. Let f be k(9). Let n be q(f). Solve 9 = -m + n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 5*x**3 + 52.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4121936 + -4122036.88745. Let g = -95.887443 - k. Let n = -5 + g. Round n to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*v**(-5))\/(v**(-2\/7)\/v)**(2\/47))**(2\/21) assuming v is positive.\nAnswer: v**(-5228\/6909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732 and 7284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -4, -786, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*f**3 + 339*f**3 - 122*f**3 - 118*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 66190559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316416139.\nAnswer: 13, 19, 191, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -3*w**6\/80 + 29*w**5\/2 - 193*w**4\/16 + 981*w**2 - 4*w. Factor s(m).\nAnswer: -3*m*(m - 193)*(3*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 5*k - 3. Let n(y) = -23*y**2 - 19*y + 10. Let d(h) = 2*n(h) + 9*u(h). Suppose -3*q = q - 24. Let i be d(q). Is 0 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*i**2*p - 2*f**3*i*p - 191*f**2*i*p**2 + 23*f*i**2*p**3 + 106*f*i*p - 2*f*p**3 + 1329*i**2 wrt i?\nAnswer: 2*f**3*p + 46*f*p**3 + 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*c + 2 = 0, 3*t + 0*c - 5*c = 1. Suppose 0 = 2*b - t*j - 700, -4*b = -2*j - 50 - 1342. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38848 - -983824503.\nAnswer: 983785655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 l when four letters picked without replacement from {o: 2, l: 5, s: 2, t: 6, v: 3}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 9*x**2 + 2*x - 2. Is c(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5978995?\nAnswer: 5, 11, 108709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**3 + p**2 - 7*p + 5. Determine u(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 + 20 + 2*g - 173 - 4*g to q + j*g and give q.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**3 - 2 + 2)*((0 + 4 - 3)*(0*r + 3*r - r) - 3*r + 4*r - 2*r + 2) in the form i*r + y*r**2 + p*r**4 + m + k*r**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -8. Suppose 2*z + 18 = -5*w, 4*w - 2*w = -5*z - 24. Is z\/16 + 922\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -892294636 divided by -4?\nAnswer: 223073659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**3 + 4*q**2 - 4. Suppose -52*u - 6 = -55*u. Let d(z) = -40*z**2 + 49 + 7*z**2 - 100*z**3 - 12*z**u - 4. Calculate 4*d(x) + 45*i(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by -27\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -666, 2.\nAnswer: -666, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-66) + 0 - 62\/(-22). Suppose -p*y - 15 = 0, -y + 3 - 33 = -5*x. Let g = -5 - -14. Solve -s - 2*s + g = -x*i, -2*i = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*x + 38 = 0, 5*x - 3 = -j + 2*j. Suppose -22 = -j*s - 4*s. Calculate the least common multiple of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 118147731 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 4, 6.5, 0, 2, 1, -167?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -0.1, -0.4, 41\/13, 3\/934?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 279*c - 20 + 319*c.\nAnswer: 598*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2494176 and 3429492?\nAnswer: 27435936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.02.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/2)*38*92\/(-538384)?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/2101 + 92453\/18909. Let z = 20531\/7389 + -2\/2463. Calculate the common denominator of z and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)*r*r*r*r\/((r**(1\/4)*r)\/r)*r)**(-9\/2) assuming r is positive.\nAnswer: r**(-1125\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -879423, -880141, -882085, -885867, -892099, -901393?\n\"Answer: -102*t**3 - t**2 - t - 879319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lala when four letters picked without replacement from {g: 2, l: 1, m: 5, k: 1, a: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -68*d**3 - 15*d**2 + 71*d - 56. Give p(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 21 = 4*r - 12*d, -r - d = -9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (6 - (5 - 5))) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357307.\nAnswer: 103, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147304472 by -2630437.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26404 divided by 164.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * -4.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7343 divided by 76?\nAnswer: 7343\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 895, -3, 49 in increasing order.\nAnswer: -3, 49, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 848193, 1696390, 2544587?\n\"Answer: 848197*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -0.0100031. Round b to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/40 - 17*v**3\/3 - 40*v**2. Let d(w) be the first derivative of h(w). Let k(g) = 31*g. Give d(k(o)).\nAnswer: -93*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**4 - 7968*p**3 - 2*p**2 + 4*p - 6513 wrt p.\nAnswer: 96*p - 47808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let z(b) = 2*b**2 - 2*b - 2. Let c be z(x). Let q(y) = -2*y**3 + 2*y**2 + 3*y - 2. Determine q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18384 and 17618.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.9 - -40. Let m = -18507644.0999991 + 18507642. Let u = m + n. What is u rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o + 2*o)*(-13043 + o + 12992 + 3*o**2 + o**2).\nAnswer: -8*o**3 - 2*o**2 + 102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*s = 1190*s + 70 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*y**3 - 421*y**3 - 787*y**3 + 27 - 27.\nAnswer: -1308*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.95 - 62043.\nAnswer: -62065.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Let i be (-36)\/(-306) - (2 - (-2104)\/(-34)). Let f be -9*-2*5*2\/i. Solve 4 + 11 = -f*p, 4*g = z*p + 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-117)*(160\/(-6))\/(-8)*3\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -0.347\nAnswer: -0.2082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1876473.2999 + -0.76.\nAnswer: 1876472.5399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:18 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 + -22.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 13*l - 9. Let c be r(-13). Is -8 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*g = 5, 0*u = 4*u - 5*g + 5. Suppose -4*l - 6*v + 2*v + 364 = u, -2*l + 5*v + 210 = 0. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 5*y - 5. Let v be w(6). Suppose 4*s + 2*i - 2947 = 3*i, 5 = i. Is v + s + 5\/(10\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140350 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*f - 8 = -0*d, -4*d = 3*f - 4. What is the second derivative of v + 2*v**3 + v**3 - d*v wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75*-1\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/120 + (-17)\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7*j - 60 = 0. Calculate the least common multiple of j and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -305*p - 40. Give l(-1).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11635228506 - -4.9\nAnswer: 11635228510.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1511*s**5\/60 - 320*s**2 - 5*s. Let k(o) = 11*o. Give k(g(j)).\nAnswer: 16621*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33*5)\/((-8)\/(-24)). Let h = 988 + g. What are the prime factors of h?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 = -3*s - 2*h, -5*s + 27 = -h. Let q = 69 + -69. Suppose q = -3*i - s + 14. Solve i*p + z = -0*p + 14, 0 = 2*p - z - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5025943.\nAnswer: 13, 386611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5698*w + 68458. Calculate l(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*f)*((5*f**3 - 3*f**3 - 4*f**3)*(-3*f + 2*f + 2*f) + (-15*f**2 - 35*f**2 - 30*f**2)*(-2*f**2 + 5*f**2 + 2*f**2)).\nAnswer: -804*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/12306 (b) -1 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -109081, 2?\nAnswer: -109081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 + i**4\/4 - i**3\/3 - 6*i. Let r(v) = v + 9. Calculate the lowest common multiple of r(9) and o(2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -46. Let o = -20 - -7. Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5858.187 * -9.5\nAnswer: -55652.7765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24378 + 644. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/397 and 45\/15086.\nAnswer: 15086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(27804*q**2 + 29173*q**2 - 52098*q**2).\nAnswer: -14637*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Suppose 0 = 3*o - w*i + 26, -3*o - 2*o = -5*i + 35. What is the units digit of 4\/(-8) + (-61)\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9.8, 0.3, -3\/5, 3, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 0*i**4 + 4*i**4 + 3*i**4 - i**4 - i**4 + (2*i**3 - i**3 + 0*i**3)*(2*i - 1 + 1) - i**3 + i**3 - i**4 + i**4 + 2*i**2 - 1 + 14*i**3 - 14*i**3.\nAnswer: 5*i**4 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x - x)*(0*x**2 + 0*x**2 - x**2)*(5630 - 39*x - 5630).\nAnswer: 195*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -214*z**2 - 64*z + 14. Let r(q) = 343*q**2 + 96*q - 22. Let f(u) = 8*g(u) + 5*r(u). Let o(b) = -7*b**2 + 64*b - 5. Give 5*f(s) + 2*o(s).\nAnswer: s**2 - 32*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*n + a - 3, -5*n - 4*a + 27 = 0. Suppose 2 = 2*d, l - 3*d = n*l - 49. Suppose -5*g + 2 = -l. Calculate the remainder when 13 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 - 4*u + 2. Let j be k(2). Let b be (-346)\/4*j*-1. Suppose -3*w - 5*c + b = 0, 4 = -4*c + 20. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 + 3*h. Let y be d(0). Suppose c - 6 = -y. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 11*a**2 + 14*a + 22. Let o be b(-12). Let p(q) = q**2 + 12*q - 88. Calculate the remainder when (-15 - 2)*o + 0 is divided by p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(5 - 4))\/(-3). Suppose s = -5*w + 585 + 460. Which is smaller: w or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 6 + 14 + 3. Suppose -7 = -3*i + j. What is the remainder when 30 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -93, -234, -443, -726, -1089, -1538, -2079?\n\"Answer: -y**3 - 25*y**2 + 3*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*t**5 - 3*t + 11*t**2 - 17*t**5 - t wrt t?\nAnswer: -2220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268174 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 4*c + 3*c)*(-85 - 165 + 67) to x*c + s and give x.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/10 (b) 2\/7 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 391, 392, 393, 394, 395, 396?\n\"Answer: b + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -4*b**4 + 7*b**3\/6 - 497*b**2 + 874*b. What is the derivative of n(a) wrt a?\nAnswer: -96*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -3447669.\nAnswer: 26\/1149223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2\/7, 0.3, 6\/25, -4 in increasing order.\nAnswer: -55, -4, -2\/7, 6\/25, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8281 + 8289 + 81*a + 8289 - 80*a - 24859.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 18. Suppose w*x - 2*l = 4*x + 60, -l + 24 = x. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {v: 5, z: 1, q: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40163 = 1019*j + 5693 - 35841 for j.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01822 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-72)\/486*-27*7\/(-1386))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + 23210?\nAnswer: 23313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 9632\/12. Let k be -4 - (4 - w) - -1. Suppose -676 - 367 = -4*u - 3*x, -2*x - k = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 3 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*l**2*r*u - 2*l**2*r - 17*l**2*u - 4*r**2 + 14*u with respect to r.\nAnswer: -14*l**2*u - 2*l**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8720 is divided by 3\/(-6) + 12995\/226.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35355*l**2 - 62790 wrt l?\nAnswer: 70710*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 3*r - 3*r + (-1 + 1 - 2*r)*(-2*r + 2 - 2) - 2*r**2 - 3*r**2 - r**2)*(5 - 1 + 1) in the form l*r**2 + i*r + k and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 14479*n - 144890.\nAnswer: (n - 10)*(n + 14489)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**3\/6 - p**2\/2 + 13*p. Give q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 19 = -1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from udutuudududuu?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -396, -5, 2.\nAnswer: -396, -5, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36773 + 10?\nAnswer: 37003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 6*l**2 + 3*l**2. Let w(j) = 17*j**2 + 11*j - 11. Let x(f) = 6*f**2 + 4*f - 4. Let g(c) = 4*w(c) - 11*x(c). What is q(g(o))?\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 - 6*r + 22*r**2 + 7 - 7*r**2 + 14*r**2. Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 6*v**2 + v - 3. Is 2 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 + 5*j - 4*j + 3 + 8*j wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000011 + 100?\nAnswer: 110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**0\/y*y*y**(4\/3)\/y)\/(((y\/(y**(-1)*y))\/y)\/y)**(-1\/14) assuming y is positive.\nAnswer: y**(95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6834*z - 4739. Is p(118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:32 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/6 - 7\/(-21). Let q be -3 - 337 - ((-1 - -1) + d). Let w = 518 + q. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -5. What is the remainder when 60 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/16168 and -97\/8.\nAnswer: 16168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, q: 2, i: 4, e: 4, h: 3}. Give prob of sequence eeiv.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose 0*n + n + 3*a = r, -2*a = 2*n. Suppose n = -2*k + 9 + 1. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.41991 rounded to the nearest integer?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 24*u - 45. Calculate the remainder when g(13) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let p(y) = -y**3 - 2 - 2*y**2 + 5*y + 0*y**3 - y - y**2. Let m be p(-4). Sort 2, d, m in decreasing order.\nAnswer: 2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u - 1. Let o be t(2). Suppose -o*x = -4*x + 3. Let p = x - -2. Which is smaller: -2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 6*r - 3. Suppose 2*a = -2*v, -2*v - 2*a + 2 = v. Let o be p(v). Solve 0 = t - 4*u, -t + 5*t - 3*u - o = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 + 37 - 27*r + 43 + 20 + 3*r**2 - 95. Calculate z(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/500029 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 17*f + 11. Let z = 287 + -279. Suppose 12*b - z*b + 57 = p, -5*b + 4*p = 63. Calculate r(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + -5.07. Let l = 6\/5 - 2\/5. Sort k, 4, l in increasing order.\nAnswer: k, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 j when three letters picked without replacement from wwwhwuwwhwwwujwh?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*t + 70*t + 71*t to the form i*t + y and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.6, -17, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13588621*i*p**3 - 2*i*p*z - 1943*p**3*z + 9361*p**3 wrt i?\nAnswer: 13588621*p**3 - 2*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -8.05 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from gccgcgiccdttgigc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/7 - -4. What is the nearest to 3\/5 in 2\/3, f, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 18 = -28*k. Which is bigger: 6\/547 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*a*s**3*t**2 + 2*a*t**2 + 520*a - 2950*s**3*t - 10*s**2*t + 4*t**2 + 27 wrt s.\nAnswer: -300*a*t**2 - 17700*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20249 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (258 - 256)\/(((-12)\/(-51))\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1*3)*(-10201)\/(-202). Is a < -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h - 10*h + 17*h to the form k*h + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -282*j + 283 - 1. Sort 84, -3, j in ascending order.\nAnswer: -3, j, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -4268\nAnswer: 21340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 878.\nAnswer: 351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6747 or -6756?\nAnswer: -6747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -29*j**4 + 5*j**3 - 5*j - 19. Let z(i) = -19 + 868*i**4 - 896*i**4 + 4*i**3 - 3*i - i. Let l(k) = -4*p(k) + 5*z(k). Differentiate l(d) wrt d.\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -42 + 12. Let k(p) = -2*p**2 - p - 1. Let r be k(-4). Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**3 + 4*z**2 - 1. Let q(b) = 17*b**3 - 11*b**2 + 2. Let a(l) = -4*q(l) - 11*r(l). Differentiate a(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 6 + -7 + -4. What is the biggest value in -8, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 7, d: 1, t: 2, z: 4}. Give prob of picking 1 w and 3 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 843.5 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 w when three letters picked without replacement from {w: 2, e: 10, y: 5, c: 2, r: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2506436065 - 2506435994.00000013. Let w = 237 - 166. Let q = f - w. Round q to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 44 = -5*i. Suppose 2*q - 21 - 5 = 0. Let m = q - -42. Calculate the greatest common factor of m and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*q + 5*q + 5 = -2*q, q = -p + 6*q + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*l + 5*l**4 + 450*l - 3*l**5 - 91 - 228*l wrt l?\nAnswer: -60*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450725713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*n**2*q**2*t - 8*n**2*q**2 - 2*n**2*q*t - 11932*n*q**2 + n*t wrt n.\nAnswer: -24*q**2*t - 16*q**2 - 4*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -10. Let p = -36.8 - f. What is the fourth smallest value in p, -0.4, -0.3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1230465362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 1 + 19*u**2 + 1.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81167281 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b = 151 - 39 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -58, -12, -3, 28 in ascending order.\nAnswer: -58, -12, -3, 5, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5400 and 237825?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 81. Let o(j) = 5*j**2. Calculate o(a(y)).\nAnswer: 5*y**2 + 810*y + 32805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14075, 14111, 14169, 14249, 14351, 14475, 14621?\n\"Answer: 11*h**2 + 3*h + 14061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -298, -292, -274, -238, -178, -88?\n\"Answer: r**3 - r - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:38 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 7 + 3. Let q = s - -6. Suppose 0 = 2*r - h - 59, -2*r = h + h - 50. Calculate the greatest common divisor of r and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1123 + -1118. What is the closest to 0.1 in 0, o, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 1, -0.293?\nAnswer: -0.293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.9 plus 0.694?\nAnswer: 193.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001286074 to seven dps.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let z = w - -7. Let b be (-2)\/3*(-12)\/16. What is the smallest value in z, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 10*o - 2. Let l(d) = -d**2 + d - 1. Let s(m) = -4*m**2 + 14*m. Let h(c) = 3*l(c) - s(c). Let i(v) = 3*b(v) - 2*h(v). Factor i(x).\nAnswer: 4*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -61. Let o(k) = -k**2 - 5*k + 34. Find the common denominator of o(-6) and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 96 = 44*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)*z\/(z*z**0))\/(z**(-1\/2))**(2\/99) assuming z is positive.\nAnswer: z**(299\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v - m + 342, 2*v - 342 = 5*m. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y. Let u(f) = -3*f - 4. Let k(i) = 5. Let o(j) = 20*j + 2 - 4 + 1 - 19*j. Let d(t) = k(t) + 2*o(t). Let z(x) = 4*d(x) + 3*u(x). Determine z(v(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.1 in -1\/8, -0.01, -1.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -0*u + 3*m + 9, u - 5*m + 9 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 9*l - 12. Let r be g(-8). Let m(k) = k**3 + k**2 + k - 2. Let z be m(r). Does 3 divide z\/(-8) + (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*p - 6, -5*t + 0*p - 2*p = -4. Suppose -4*z = -i + 1352, t = -3*i - 3*z + z + 4014. What is i rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 19*k**2 + 4*k - 8. Let f(o) = 9*o - 85. Let l be f(10). Is b(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2426346, -2426331, -2426300, -2426247, -2426166, -2426051, -2425896, -2425695?\nAnswer: -2425442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5268 is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 3*m + 4*f, -f = 2 - 6. What is the remainder when 611 is divided by m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0261755 to two dps.\nAnswer: 4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 39 - 57 = 4*d, -4*h = 5*d + 30. List the prime factors of (d + (-2247)\/(-14))*2.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 44*a**2 + 498*a + 11. List the prime factors of h(-41).\nAnswer: 29, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.6, 2\/3, 2, 275, 0.2 in descending order.\nAnswer: 275, 2, 2\/3, 0.2, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 266a85 + -5?\nAnswer: 266a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/308286 and 37\/2595.\nAnswer: 1541430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 2*u - 5*u)*(-2*u + 1355 + 2251 - 946).\nAnswer: 4*u**2 - 5320*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*u**2 + 18*u wrt u.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:51 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -860 (base 13) to base 7.\nAnswer: -4112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:31 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*c - 14 = 0, -7*p - 4*c = -10*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6501001?\nAnswer: 13, 41, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 + -212. Is (-2)\/((-2)\/(-3)) - 298\/p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 1:16 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -606090 by -3.\nAnswer: 202030","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -110\/259?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326 - -308. Does 8 divide 8\/f + 9096\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 - 7*w + 5. Let c be l(4). Let y = 99 - c. Is (y\/(-8))\/(2\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498606329 to the nearest integer?\nAnswer: 38712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:18 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = a + 8, 15 = -3*a - 3*g. Let n be -1*(-4)\/2 - a. Suppose 2*w + z + z + 2 = 0, w = -n*z - 7. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2628*v = 2634*v - 97058 + 16052. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:25 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 3*o. Suppose 2*d - k - 168 + 1 = 0, 3*k + 173 = o*d. Calculate the remainder when d is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 1 + (-22 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -32. Suppose d = 4*v - j, 2*v - 17 = 3*j - 2. Is -2\/69 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2541770 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 112043247.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12362111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4\/5 - 810254*j**3\/5 + 47275143*j**2\/5 + 31876874*j\/5 = 0. What is j?\nAnswer: -270143, -2\/3, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - -1 - 160\/(-20). Let p(s) = -s**3 + 12*s**2 - 6*s + 15. Let a be p(b). Let c = a - 100. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)\/c)**(-41)*(c**(1\/14)*c)\/(c\/c**(1\/3)*c)*(c*(c\/(c*c**(-4\/3)))\/c*c*c\/(c*c**(-5\/4)*c))**(2\/119) assuming c is positive.\nAnswer: c**(14440\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 659 and 7143.\nAnswer: 7802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -805 + 876. What is the greatest common divisor of w and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -3*y. Suppose -5*q = 6 - y. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:38 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 3*p - 15. Suppose w + u = 0, -2*u = 2*u + 12. Let f(c) = -c + 5. What is the smallest common multiple of f(w) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, -1, 3, -28\/223, -21, 1 in descending order.\nAnswer: 3, 1, -1\/19, -28\/223, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/12 - 7\/6)*-1544. Suppose -4*v - 4*i + 6088 + a = 0, -3*i + 2105 = v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*p**3 + 165*p**3 + 64*p**3.\nAnswer: 469*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6854 and 3874.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/57495 and 20\/21.\nAnswer: 402465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = -24*x - 120 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -380875\/8 bigger than 240\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 70*q**4 - 9 + 2 - 25*q**5 - 4*q + 28*q**2 + 7 - 69*q**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c + 9*h - 5*h, 22 = -2*c - 3*h. What is the third smallest value in 0, -0.1, -13, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-1 - -1)) + -1. Let t(z) = -6 + 0*z - v*z + z. Let k(n) = -5*n**3 + 6*n**2 - n. Let q be k(1). Determine t(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 136*s**2 - 148*s + 12. What is p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*g**5 + 3\/2*g**3 - 9\/4*g**4 + 0*g**2 + 0*g.\nAnswer: 3*g**3*(g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2823c - 2?\nAnswer: -28241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-49)*6\/18.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719634 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-6) + -6 + 6\/2. Sort 4, 2, -2, -6, s.\nAnswer: -6, -2, 2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162*b**2*t**2 + 8*b*t - 2*t**2 - 121*t - 20 wrt b.\nAnswer: 324*b*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 9 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8819, 17624, 26415, 35186, 43931, 52644, 61319?\nAnswer: 69950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gddgggbd. Give prob of sequence gg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-54) + (-1015)\/174?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 616.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - 0*f - 17 - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 722*j. Let w(h) = -h. Give w(i(q)).\nAnswer: -722*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25590517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4010*r + 5104 = 3546*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 26 in ascending order.\nAnswer: -4, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4964)\/1314)\/(2\/9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w + q - 133 = 0, -5*q = -2*w + 64. Solve 3*h + w = -4*v + 11, h = 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 22 + 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8432059 is divided by 1405281?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from gwgw.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 1\/148, 0.7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -471684 - -12.149.\nAnswer: -471671.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 37726471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26119 - 5.26119. Let v = -0.08 + -2.42. Let c = -3 - v. What is the closest to -2\/7 in c, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-2 + 6 - 2) + 3 - 5 + 3 + (-3 + 2 - 1)*(-5 + 2 + 2))*((q**2 - 4*q**2 + 2*q**2)*(0*q**2 - q**2 - 2*q**2) - 2*q**4 - 3*q**2 + 3*q**2).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58.12 + 1.12. Let m = 57 + v. Which is smaller: 0.8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-8) + -5)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-45)*4\/3*(-2457)\/364?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.425 + 3.425. Put 6, c, -51 in descending order.\nAnswer: 6, c, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -40b7c86c?\nAnswer: -40b7c86b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -390400 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/1218)\/((-11)\/(-264))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1795 + -1808. Which is the second smallest value? (a) 2\/3 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s + 26 - 26 = -6*s. Let h(x) be the third derivative of 0 - 1\/30*x**5 - 1\/3*x**3 + s*x + 4*x**2 - 1\/6*x**4. Find u, given that h(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5711, -7243, -8775, -10307?\nAnswer: -11839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + r + 3*r + (-4 + 4 - 5)*(-2 + r + 2) to the form u + t*r and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - o + 1. Let i(h) = -6*h**2 - 7*h. Let d(f) = i(f) - 4*n(f). Let a be d(-2). Let s = 5 - a. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 11*n**2 - 5*n + 15. Let v = -40 - -52. Let q be l(v). What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001011001110 - -10101111101001?\nAnswer: -10101011011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s**3 + 69*s**3 + 104*s**3 + 18*s**3.\nAnswer: 153*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 + 3 + (-1 - 2 + 2)*(-3 + 5 + 0) + 2 + 0 - 4)*(d + 0*d + 0*d).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -606*a - 223. Is 30 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 73. Suppose g*b + 2*b = 40. What is the remainder when 46 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.75 and 20950.8.\nAnswer: 20940.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*w = 176, -4*c - 93*w + 92*w = -851. Solve 259*n = c*n - 48 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50612 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065059029 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 3856 - 283. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45459 + 441596. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4207388 and 8.\nAnswer: 8414776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 6*x - 2. Let z be v(-6). Let h(p) = -3*p - 2. Let s be h(z). Solve 3*w - s*q - 5 = 0, q - 6*q + 2 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -53.3?\nAnswer: -266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -66a91 (base 11) to base 5\nAnswer: -11102032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + (4 - -2) + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245156 is divided by 49026.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 38. Let l = 20 - w. Suppose -3*c - q = 13, 0 = c + 2*c - 2*q + l. Sort 6, -4, c in descending order.\nAnswer: 6, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*a*c**2*y + 2*a*c**2 + 19*a*c*y - 2*a*y + 588*a - c*y wrt c?\nAnswer: -78*a*c*y + 4*a*c + 19*a*y - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g + 35759. Let p(a) = 9*a. Give p(n(i)).\nAnswer: 63*i + 321831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3\/4, -2\/9, 2, 0.2921 in descending order.\nAnswer: 20, 2, 3\/4, 0.2921, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 721374 and 18.\nAnswer: 2164122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47389508 + 0.4.\nAnswer: 47389508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 12*i**2 + 8*i - 5. Let o be s(-13). Suppose -w = -t + 42, o = t + 4*w + w. What is the remainder when t is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.1 (c) -0.3 (d) 2\/11 (e) 969\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2824063*d*p**3 - 7*p**3 + 1810*p**2 - 9*p wrt d.\nAnswer: -2824063*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -198?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86767.5753 microseconds to weeks.\nAnswer: 0.00000014346490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 2\/6. Suppose 4*c + c + 4*s + 31 = k, -s = 2*c + 10. Is c\/(-9)*3*46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 128*h + 167. Calculate r(-31).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 7 + 3*j**2 + 2 + 3*j**2 with respect to j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2396.27 and -6.\nAnswer: 14377.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r. Let w(a) = 5*a**2 + 0*a**2 + 814*a - 814*a. Give s(w(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38083, -38071, -38049, -38017, -37975, -37923?\n\"Answer: 5*g**2 - 3*g - 38085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75655, 151336, 227027, 302734, 378463, 454220?\nAnswer: 530011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 19 - 4)*(4 - 1353*d - 4 + 1251*d) to the form i*d + z and give i.\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3 + 9 + 7*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -235 (b) 3 (c) -4\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/712 and 101\/2136?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(4*(-2*(sqrt(5)*4 - sqrt(5)) - (-3*sqrt(60))\/sqrt(12)) + -4 + 3))**2.\nAnswer: 600*sqrt(5) + 18025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 10*o**2 - o - 8. Let g be f(-10). Let w(x) = 3*x - x**2 - g - 2*x**2 + 5*x**2. Does 3 divide w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-1))\/((-4)\/56).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 + 276. Solve -p*x + 1 = -11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1217d + -2?\nAnswer: -12180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696734, 1393456, 2090178, 2786900, 3483622?\nAnswer: 4180344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 183. Determine r(14).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/7*(-2 + 3). Which is the third biggest value? (a) 0.1 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 2 - 2. Suppose k = -4*i + 4*t + 488, 3*t = 2*i + 3*i - 600. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2. Let g(q) = 1684*q + 19. Calculate g(v(p)).\nAnswer: 11788*p**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724577 is divided by 13714?\nAnswer: 11449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 431.713 and -31.844.\nAnswer: 399.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 774978 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 - 151499*h**3 - 7650598500*h**2 - 128779974250000*h + 128787625000000 = 0. What is h?\nAnswer: -50500, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 18*v + 16.\nAnswer: 2*(v - 8)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u**5 + u**5 - 4*u - 10*u**5 wrt u?\nAnswer: -320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/120 - 41*z**4\/36 - 79*z**3\/12 + 1906*z. Factor y(v).\nAnswer: -v*(v + 3)*(v + 79)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 480*r**3 - 849*r**3 - 1031*r**3 + 2821*r**3 + 2 as f + g*r**2 + h*r + o*r**3 and give o.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - c + 1875 = -1904, 12 = 4*c. Let h = -457 + 992. Let q = r - h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3597, -14365, -32307, -57423, -89713, -129177, -175815?\n\"Answer: -3587*l**2 - 7*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/98*(-48)\/(-45)*(-309)\/(-412))\/(-1).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1125 - -2946. What is the smallest common multiple of 6 and k?\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2580740425?\nAnswer: 5, 103229617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9 - 4*g + 3*g + g**3 + 16*g**2 - 2*g**2. Calculate the remainder when o(-14) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11709*a + 3. Let i(o) = 2*o**2 - 8*o. Determine i(k(y)).\nAnswer: 274201362*y**2 - 46836*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -1)*(-6)\/(-4). Let d(g) = -75*g - 155. Let t be d(-2). Sort w, 2, t in increasing order.\nAnswer: t, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2480 and 4.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27679*b**2*q**3 - 2*b**2*q - 20*b*q + 5*q**4 + 14*q + 3 wrt q.\nAnswer: 166074*b**2*q + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1200)\/64 + (-75)\/60.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-7))\/5)\/1*576\/(-144).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -1 + sqrt(192))*3 - (0 + ((sqrt(192) - -2*sqrt(192))*-4 + sqrt(192) + sqrt(192) + -4 + sqrt(192)*2 + sqrt(192) + sqrt(192))**2).\nAnswer: -6940 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546096.\nAnswer: 2, 3, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-12)\/(r**(-3\/8)*r*r\/(r\/(r*r\/(r\/(r\/(r*r\/r**(3\/5))))))) assuming r is positive.\nAnswer: r**(-49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12422138 to the nearest integer?\nAnswer: 3525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252 - 2774\/11. Let j = 1856 - 1856. What is the smallest value in y, -5, 4, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007408 a multiple of 1594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 26*k + 10780. Calculate j(-67).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 303 - 303.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v = 48*v + 54*v - 3051 - 249 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12798, 24889, 36942, 48951, 60910, 72813, 84654, 96427?\nAnswer: 108126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 10. Let n = -9\/20 - -7\/12. Which is the closest to t? (a) -4\/3 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1237 - -1356. Calculate the remainder when 224 is divided by x.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o + 57*o + 5*o**3 + 9*o**2 - 93*o - 9*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-6)*291804\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -2 + (12 - -4) - (-1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2178)\/(-693))\/(308\/(-392)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1305*x**4 - 40*x + 507906 wrt x?\nAnswer: -5220*x**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 - 3*t**2 - 2*t**2 + (2 - 2 + 2*t)*(t + 0*t - 2*t) - t**2 + 3*t**2 - 5*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10009\/300 + 3\/100. Are -33 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 9*y - 8 = -4*y, y - 2 = a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (7 - (-9 - -1 - -17)) + 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -304412, -608819, -913226, -1217633, -1522040, -1826447?\n\"Answer: -304407*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*k**4 + 16*k**2 - 12*k**3 - 19*k**4 + 21*k**2 wrt k?\nAnswer: 72*k - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 522, 955, 1780, 3123, 5110, 7867?\nAnswer: 11520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pwvqp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 245.\nAnswer: 5*(y - 7)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 6*g - 4. Let j be v(5). Suppose -2*u = 5*z - 206, 3*u - 4*u = -3*z + 128. Suppose -f = -z - j. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 464, 5, 5171 in increasing order.\nAnswer: 5, 464, 5171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6, 3, 14, -1, 2 in decreasing order.\nAnswer: 14, 3, 2, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-10)\/(-930) - (-2 + 2)). Let l = d + 60. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i**5 + 52*i**4 - 52*i**3 + 12*i**2 = 0. Calculate i.\nAnswer: 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -9, 0.006, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185284 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**2*r**2 + 3181*o**2 + 135*o*r**3 with respect to r.\nAnswer: 10*o**2*r + 405*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*h + 10*h. Let p(c) = 3*c - 13. What is the remainder when 8 is divided by p(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1024)\/(-20)*65\/26. Let k be -6 - (-14 - -10 - s\/66). Which is the closest to k? (a) -1 (b) -3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247337 - -1022?\nAnswer: 250361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*p = 0, 0 = 634*b - 639*b - 4*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -996.77193 - -0.64193. Let q = -1001 - p. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 2, 3, -4, 0, -161.\nAnswer: -161, -60, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 71 = 2*k, 2*f = -k - 0*k + 22. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -103975, -203624, -303273, -402922?\n\"Answer: -99649*u - 4326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/(-26) - -2)*-4. Let o = y - 41\/91. Find the common denominator of o and 12\/22 + -1 + 4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768464612.\nAnswer: 2, 251, 631, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/990 and 121\/30.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 39, 67, 103, 147, 199, 259?\n\"Answer: 4*b**2 + 8*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let u(c) = -182 + 182 + 24*c. Let i(r) = 20*b(r) - u(r). Let d(l) = l. Give i(d(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let i(z) = 3009*z**2 - 10*z - 25. Let d(t) = -3163963*t**2 + 10514*t + 26285. Let x(q) = -5*d(q) - 5257*i(q). Calculate x(k(n)).\nAnswer: 6008*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3609, 6228, 7869, 8538, 8241, 6984?\n\"Answer: d**3 - 495*d**2 + 4097*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*x + 0 + 6\/5*x**3 + 4\/5*x**2 + 0*x**4 - 2\/5*x**5 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 39 = -9*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -1. Let k = 5 + i. Is -2\/3 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yllojllyljl. What is prob of sequence ojlj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 4864, 3, 8 in ascending order.\nAnswer: 0, 3, 4, 8, 4864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -66*w - 100. Let y be (42\/(-30) - w)*(2 + 3). Which is the fourth biggest value? (a) -1 (b) -2\/7 (c) y (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 24840.088.\nAnswer: -521641.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - 0. What is the units digit of 8\/(-20) + (-1671)\/w + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/22 - 3626\/616.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3 - 30*n**2 - 9*n + 378 = 0?\nAnswer: -7, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -2\/15, -6, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 14*i - 14*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g + 124. What is x(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/4 (c) 27 (d) -17.1 (e) -0.3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004504005788 rounded to 6 dps?\nAnswer: -0.004504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11332688.5000855 + 11332652.7. Let s = -35.8 - i. Round s to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-495))\/(6\/(-60)). Which is the second smallest value? (a) 5 (b) -31 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvgg. Give prob of picking 1 v and 2 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let r be ((-6)\/8)\/((-1688)\/128 + 13). Solve -2*x - b - 3*b + 4 = i, -4*b = -4*x - r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219 divided by 43096\nAnswer: -219\/43096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:49 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20052.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*n - 1241 - 1102 = 341*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 5*d**2 + 4 + 2*d - 7*d**2 - 2*d**2.\nAnswer: -2*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f + 40. Let y be g(-4). Which is the closest to y? (a) 4 (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.6. Which is the second smallest value? (a) h (b) -2\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-8)\/((-16)\/2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n - 6. Let o be c(5). Suppose -3*w = o*b - 158, -58 = -2*w - 3*b + 46. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/27, 66, 0.22 in decreasing order.\nAnswer: 66, 0.22, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -2\/28181039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712900\/(-215336)*(-8)\/50?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 96. Let v be g\/(-4 - 0 - -5). Suppose v + 27 = j. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 1. Suppose 2*r - 16 = -i - 2, i - 4 = 0. Suppose -2*d + 0*f = 3*f + 7, -r*d - 2*f - 1 = 0. Calculate p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -592*y - 1447*y + 295*y to the form o*y + z and give o.\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**7\/70 - 9*w**6\/40 + 7*w**5\/10 + 3*w**4 - 1576*w**2. Factor t(u).\nAnswer: 3*u*(u - 6)*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a minute in seconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from qbnybyyyyqybyqyybnyb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/641421 and 8\/441.\nAnswer: 31429629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 3*o**2 + o + 5. Let z be y(-3). Suppose 0*a - z = -2*a. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56992 is divided by 9497.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t - 199. Let g(u) = -5*u - 48. Let n(j) = -9*g(j) + 2*x(j). What is n(-18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16748 + -7727. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050077152 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 5)*(-2 + 2 - k) + k - 4*k + 0*k + (9 + 4*k - 9)*(-4 + 4 - 2).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 7. Let w be k(3). Let q(c) = -c**3 - 3*c**2 + 5*c + 7. Let x be q(w). Solve -4*d + x = 4*j, 0 = -3*j + 4*j - 5*d + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -2, 15, 48, 103, 186?\n\"Answer: q**3 - q**2 + 3*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 6056*p - 2221440.\nAnswer: -4*(p + 624)*(p + 890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1543 + 2199. Calculate the smallest common multiple of u and 16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 56724430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/198 and -65\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 11068819?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 7 - 14)*(-w + 0 + 0)*(-2 - 3 + 38*w - 28*w) - 2*w**2 + 4*w**2 - 3*w**2 + 2*w + w**2 - 2*w + (-2 + 2 - w)*(-3 + w + 3) + 2*w**2 + 0*w**2 + 0*w**2.\nAnswer: -619*w**2 + 310*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2591, -6, 18.\nAnswer: -6, 18, 2591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 6 = 4*p. Let i(v) be the second derivative of -v**4\/12 - 7*v**3\/6 + 2*v**2 + 6*v. What are the prime factors of i(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Let j be -15*k\/(-1) + -3. Which is greater: j or 40?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/70 + 10\/(-28). Let g(s) = -2*s**3 + s + 1. Let n be g(-1). Does z = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22481670 is divided by 521.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (62\/58 - (-14)\/(-203)). Solve 3*n = k, 0 = -3*k + b*n - 1 + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -70*h. Let r(o) = 14*o. What is -14*r(z) - 3*v(z)?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11530781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/7 - 2*x\/7 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 149. Suppose -5*v = -4*h + 144, -v - 48 = 7*h - 3*h. Let w = v + d. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 - 70 = -4*b - 7*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 0 - 0 - -38. Suppose 5*l + 4*j = 31, o - 10 = 5*l + j. Let a(w) = -7*w + 21. Let h(c) = -10*c + 31. Let q(y) = -7*a(y) + 5*h(y). Calculate q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*p - 23 + 13 + 9 in the form n*p + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m - 2. Let u(v) = -5*v**3 + v**2 + 6*v - 6. Let b(r) = 4*r**3 - r**2 - 5*r + 5. Let x(g) = -3*b(g) - 2*u(g). Give -2*x(n) + 3*z(n).\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 3070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-56) - (-40)\/60*186\/160\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12670899 or 12670907?\nAnswer: 12670907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 969162033 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-6) + (-286)\/(-26))\/(2\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154 - 6*w + 145 - 306)*(-2*w + 5*w - 2*w).\nAnswer: -6*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.71 (b) 0.1 (c) -2359 (d) 2\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 5. Suppose -4*q = -5*q + 4. Suppose 5*g - q*g = 0. Determine j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f + 21 = g, 3*f + 2*g = -2. Let s(c) = c**2 + 3*c - 3. Let q be s(f). Solve r + 3 + q = 0, -5*r = -5*t + 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + 14*p + 1. Let b(d) = -d**3 + 5*d. Let k(l) = -11*b(l) + 4*u(l). Let y be k(0). Solve -4*j + 5*s + 23 = 0, -s - 15 = y*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.9 - -24. Which is the biggest value? (a) 4 (b) -1\/11 (c) k (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4734811.51 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/15 + 18932*z**4\/15 - 415816*z**3\/15 + 528944*z**2\/3 - 251840*z = 0.\nAnswer: 0, 2, 10, 9444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -341, -315, -271, -203, -105, 29, 205?\n\"Answer: m**3 + 3*m**2 + 10*m - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134963353 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**8\/80 - 13*i**4\/24 - 5*i**3 + 5. Let j(u) be the third derivative of h(u). Differentiate j(p) wrt p.\nAnswer: 84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8776365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 1:59 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*y + 6580, -2*y - 5254 = -8*l + 4*l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/9 - 4304*w\/9 - 59942\/3 = 0. Calculate w.\nAnswer: -41, 2193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 56 = -12*w. Suppose 3*t - 4*t + 219 = -4*z, 0 = -w*t - 3*z + 838. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 1054, 1592, 2132, 2674, 3218?\nAnswer: 3764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, -2, -4, -3\/5, 3131?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 3140, 7244, 12978, 20336, 29312, 39900, 52094?\nAnswer: 65888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.361 - -0.039. Let x = -27 + l. Sort x, 0.1, -1\/6 in decreasing order.\nAnswer: x, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.03641.\nAnswer: 0.14564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxrx when four letters picked without replacement from xrrrxrxrrrrr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39521, 79040, 118559?\nAnswer: 158078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 4*l**2 + 13*l + 34. Suppose 22*x - 24 = 26*x + y, -30 = 2*x + 5*y. Determine m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*n - 2. Let j = -3715\/8 + 470. Calculate the common denominator of j and (3 - (-78)\/(-14)) + n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 0 - (8 - 6). Let t be 2 + -1 - -1 - z. Let h(v) = 2*v - 3. Let g be 8 + 2\/((-8)\/12). Let y(b) = -4*b + 5. Give g*h(s) + t*y(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 42 - -55) + (-1 - -18) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -97*p + 40*p + 16 + 5 + 11. Let u be r(-19). Suppose -6*o + u = 263. What are the prime factors of o?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/(-110))\/(-21)*5\/((-30)\/(-4))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14413*j**2 + 14405*j**2 + 2*j + 2*j as z + f*j + a*j**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12 + 35\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -159*k**3 - 19*k**2 - 16*k + 375. Let j(u) = 50*u**3 + 6*u**2 + 5*u - 125. Determine -19*j(d) - 6*t(d).\nAnswer: 4*d**3 + d + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716794 + 1105672*i - 3*i**4 - 327979*i**2 + 50896*i**2 + 322616*i - 703238 + 2076*i**3 - 86193*i**2 = 0.\nAnswer: 2, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 309 - 181. Is o a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258766958 divided by -129383479.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 19518 = -38*f + 5*u, 0 = 4*f + u - 78091. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 10*p + 52. Calculate the remainder when 282 is divided by i(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vrvr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3696 divided by -44.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38985300 + 38985285.9999999. Let c = j - -14. Round c to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*x + 4)*(0 - 1 + 4) + x - x - x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 31224 = 9*c, 3*a - 10404 = -10*c + 7*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, m: 2, l: 1, q: 2, n: 1}. Give prob of picking 2 m and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/45*10\/2 + (-26 - -4738) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -21, 64 in increasing order.\nAnswer: -21, -1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**5*s)\/s*s**4*s\/(s*s*s**(-1\/7))*s**(-1\/2)*s)**36)**(-4\/9) assuming s is positive.\nAnswer: s**(-968\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 392501594 = 392501593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + (2*sqrt(68) - sqrt(68)) - sqrt(17))**2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*u - 1, -2*u = 4*g - u + 4. Is 1 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 2108*v**3 - 122624*v**2 - 1896448*v.\nAnswer: -4*v*(v + 32)**2*(v + 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -19*m**2 + 10*m - 61. Let n(h) = -15*h**2 + 6*h - 30 + 41*h**2 - 35*h**2. Let b(o) = 6*d(o) - 13*n(o). Factor b(g).\nAnswer: 3*(g - 4)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/697 (b) 3 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151.9899 * 0.4.\nAnswer: 60.79596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102122211 - 1?\nAnswer: 102122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 4*g + 0*a = -a + 104. Calculate the remainder when 49 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 112 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -27. Let x be 4 - l - (-3)\/3. Suppose -j + 221 = j - x*a, -121 = -j - 2*a. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-339)\/(-565) + (-1)\/(-1)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50954.\nAnswer: 2, 73, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 5528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282.835 + 0.235. What is n rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5280.5 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 248798 times -4\nAnswer: -995192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + 3\/(-4). Let n be (-1)\/(-110*34\/(-340)). Which is the nearest to 1? (a) 0.4 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 2 (c) -2 (d) 3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 29 = -2*h, h - 2*y - 3*y - 21 = 0. Solve -5*a + h = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1225898085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 319 = -5*o, 2*o + o = 3*u - 189. Let t be 234\/24*o\/(-6). Let x be (-16)\/t - 88\/(-65). What is the nearest to x in -3, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7. Sort 5, 2, i in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3855\/11 - 351. Which is the second smallest value? (a) 3 (b) o (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18\/2587 - 267505\/150046. Find the common denominator of m and -13\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrreieiir. Give prob of picking 3 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -803450*n + 6427594. Give b(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 0.2, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -94*j - 3378. Let z be n(-36). Let x = 10 + -7. Solve r - x*r = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-1 + 0 + 3). Suppose -3*r = -z - 7, 4*r = -r + g*z + 10. Find the third derivative of -135*v**r + 4*v**2 + 21*v**2 + 119*v**4 wrt v.\nAnswer: -384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3142227 divided by 6.\nAnswer: -1047409\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 12*l**2 + 15*l + 14. Let s(g) = -3*g + 18. Suppose -6*r + r = -40. Let j be s(r). Is 19 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -14, 643, -5 in increasing order.\nAnswer: -14, -5, 0, 2, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18369 - -21974. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2406050 (base 8) to base 14\nAnswer: -131d7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 258. Let r(o) = -5*o + 259. Let i(p) = -5*r(p) - 6*u(p). List the prime factors of i(0).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17126*k**4 - 96 with respect to k.\nAnswer: 68504*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 28 = -z + 4*o, -312 = -4*z + 4*o. Factor 28*y**3 + 29*y**3 - 40 - 5*y**2 + 31*y**3 - z*y**3 - 50*y.\nAnswer: 5*(y - 4)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**2 + 3*y + 1. Suppose 6*q + 5 + 7 = 0. Determine m(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-10 + 6 + -757))*2. Suppose 2900 = 3*i - d. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1410 + 1?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h. Let x(w) = 3*w. Let u(g) = -2*t(g) + 5*x(g). Let i = 21 + -15. Let f(n) = i*n**2 + 33*n - 33*n + 13*n**2. What is f(u(c))?\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*c - 23*c - 31*c)*(1 - c - 1) in the form p + h*c + d*c**2 and give d.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 12834.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 3:36 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42331 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*o - 2 = -175*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 14 + 0*y**3 - y**3 - 4*y + 10. Let i be g(3). Suppose 0 = m + i*m - 141. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2112, -4223, -6334, -8445?\nAnswer: -10556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76258\/8833 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.4 + 6.4. What is the nearest to v in -0.11, 2, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 8 = 3*a - 4*p, -3*p - 6 = 0. Calculate the remainder when 13 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/49*-7*1235\/(-19).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 10}. Give prob of sequence ifff.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 479204224 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29170*j**2 + 231375*j\/4 + 1985\/2.\nAnswer: -5*(j - 2)*(23336*j + 397)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283233?\nAnswer: 3, 19, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -39 (b) -2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 5 (c) -4 (d) -22983\/185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -70. Let t(p) be the first derivative of -p**3 + c*p + 0*p**4 + 1 + 0*p**2 + 3\/5*p**5. What is the third derivative of t(l) wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73.8 - 73.5. Sort a, -0.2, 111 in increasing order.\nAnswer: -0.2, a, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-84) - (-9 - 3861\/63). What is the biggest value in -0.02, s, -8\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -3*w + 7*w. Suppose -3*a + 3*g + w = 0, 0 = -a + 3*g + g + 9. Let b = -12 + a. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 60274 = -7*d - 4*m, 6*d = 5*m + 120496. Suppose 22*b - d = 11*b. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -62817?\nAnswer: 1\/62817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddy when three letters picked without replacement from xddddkydyjyd?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let d be o(2). Let b(f) = 2*f - 3*f**d + 4*f**2 + 10 + 6*f. Let k be b(-7). Solve -k*t = -3*g - 18, 2*g = -2*g + 2*t - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:56 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 114*i + 3497. Calculate the remainder when 449 is divided by w(-30).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 h when four letters picked without replacement from {a: 1, h: 3, c: 9, v: 2, u: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 + 4*t**2 - 16*t + 4. What is the units digit of x(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + (-4)\/(-12) - -1. Suppose -m*l + 84 = 2*p - 68, -91 = -p + 2*l. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -4*q - 78 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19267 - p + 1416 + 5*p.\nAnswer: 4*p + 20683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1016563 (base 7) to base 5.\nAnswer: 12404043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 6. Let x be 5\/(-3) - -1 - (-14)\/3. Let d(k) = -2*k + 7. Calculate x*j(q) + 3*d(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p - 406. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 3)*(1920*k - 735*k + 594*k + 2*k**2) - 5*k**2 + 3*k**2 + k**2 to h*k + f + g*k**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 22*u**2 + 15. Let m be v(-22). Suppose m*n - 7*n = 128. What is the greatest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 261756?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56.897 + 0.103. Let r = x - 66. What is the nearest to -0.1 in -0.1, 0.5, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*f + 80, 0 = 3*w - w + 5*f - 32. Suppose -8*n + 189 = w. Let r be 7*(2 - -2)\/4. Calculate the highest common divisor of n and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2548*d**2\/5 + 5112*d\/5 + 32\/5.\nAnswer: 4*(d + 2)*(637*d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -107, 0, 1\/12, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 3*n - 7*n + 2)*(-n**3 - 6*n**3 + 3*n**3)*(2 + 1 - 1) + 4*n**4 + 3*n**4 - 4*n**4.\nAnswer: 11*n**4 - 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 13828 in descending order.\nAnswer: 13828, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 16*g - 10. Let j be z(6). Suppose 5*o + j = -2*k, 4 = -4*k - 4*o - o. Which is the nearest to k? (a) 0.2 (b) 2\/9 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 2*t**3 - 6 - t**4 - 2*t + 5.\nAnswer: -(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 22. Let i be y(-8). Suppose -2*x = 4*h, -6*x + x + 8 = i*h. Suppose 1819 = t - c + 4*c, x*c = -3*t + 5485. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -31. Let y(d) = d**3 + d**2 + d + 7. Calculate y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 94, 96, 98, 100, 102?\n\"Answer: 2*x + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 + -1) - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 752 = 4*k, 0 = u + 3*k + 37 + 102. Let g = u + 152. Solve -g*v + v - a - 15 = 0, 0 = -5*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 2*w**2 - w**2)*((2*w - 2*w + w)*(0 + 0 - w**2) + (w - w - w)*(-2*w**2 + 3*w**2 + w**2)).\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 7, x: 1}. What is prob of picking 2 z?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 321*x - 12 + 8 - 9 - 17. Is 18 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 26 - -7) + (23 - (-31 + 101))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuuuwwuuuuqqqzzuuu. Give prob of picking 2 w and 1 u.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17772, -17167, -16562?\nAnswer: -15957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1818, -1841, -1864, -1887?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3\/(-2)*(-2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = 2*c, -c = 3*z + 3 + 5. Let s(d) = 6 + 2*d - 4 - d. Let g be s(c). Sort 1, g, -4 in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703807 is divided by 441?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**4\/24 + 2*j**3\/3 - 5*j**2. Let d(c) = c. Let r(w) = -2*d(w) + l(w). Let v be r(-8). Solve -4*x + v = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.08 (b) -0.5 (c) -1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let y(p) = -p**b - 13 + 0 - 7 + 3 - p. Let q = 179 - 179. Calculate y(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 47 = k, 0 = -4*k + 2*q + q + 128. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2643.608 centuries to years.\nAnswer: 264360.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 - 2*w**3 + 5*w**3 - 2*w - w**3 + 2*w + (w**3 - 3*w**3 + 0*w**3)*(1 + 2 - 1) + 1 - 2*w**3 - 1.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/35 - 6\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*w - 5, -3*w = -k - 2. Which is the nearest to 1? (a) 1\/3 (b) -90 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629366929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12006 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1\/7))**(-6\/7))**30)**(-44) assuming s is positive.\nAnswer: s**(63360\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97795613\/12 + -8144192. Let h(q) = 908*q + 9. Let z be h(-6). Let s = k + z. Calculate the common denominator of 9\/2 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/2460 and ((-5232)\/5248)\/((-81)\/(-4)).\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.44 - -2.44. Which is the nearest to -12? (a) r (b) 4 (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-5))\/(-3 - 81\/(-30)). Let m(x) = 6*x - 3. Let b be m(2). Let q = f + b. Solve -z + 3*w - 21 = -2*w, w = q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 - 20*d - 15. Let c be x(7). What is the highest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.2, -2\/9, -2, -8, 4 in decreasing order.\nAnswer: 4, 0.4, 0.2, -2\/9, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p + 2. Let o(y) = 39*y + 6. Let v(m) = -3*n(m) + o(m). Let l(a) = 73*a**2. Give l(v(f)).\nAnswer: 2628*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 26462?\nAnswer: 26464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 16*p - 13*p + p**4 + (-2*p**4 - 2*p**4 + 3*p**4)*(-3 + 1 + 0) - p**4 + 1 - 1 - 2*p**4 + p**4 - p**4 + 0*p**2 + 0*p**2 - 3*p**4.\nAnswer: -2*p**4 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2. Let y(x) = -523*x - 351*x + 662*x. What is s(y(a))?\nAnswer: 89888*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*u**2 + (325*u - 191*u - 164*u + 36)*(-3*u + 3*u - u) + 0*u**2 - 3*u**2 + 2*u**2.\nAnswer: 31*u**2 - 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/4*(-51)\/(-85)*(-4)\/(-42).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**0)**50\/(q**(-5)\/(q\/(q\/(q**(2\/15)*q)))))\/(q\/(q*q**(-2\/9)\/q)*q**4*q*q**2*q**(3\/8)\/q) assuming q is positive.\nAnswer: q**(35473\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 9. Let s = g + -7. Suppose 2*c + n = -0*n + 4, s = -5*c - n + 13. Solve c*y = -5*w - 10, y - 5*y - 2*w - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 24960?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53037 is divided by 26054.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12087 divided by -153.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q - 4885. Let y(g) = -8*g + 4871. What is -5*w(r) - 6*y(r)?\nAnswer: -2*r - 4801","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1\/7*y**2 - 9\/7*y - 9\/7*y**4 + 3*y**3 - 2\/7 = 0?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095.394 nanograms in kilograms?\nAnswer: 0.000000002095394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -16*a**2 - 4*a - 41. Let i be x(-5). Is i bigger than -422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000355 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 - 8) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 + 20 = 0. Suppose o - 13 = m*w, -2*o + 37 = 2*o - 5*w. Let h = 5 - 3. Solve -h*z + 4*q = 29 - 13, 2*z - 2*q = -o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - p**2 + 9 - p**3 - 3*p + p**3 + p**3 - 5*p in the form k*p**3 + q + o*p**2 + n*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(72) - (4 + (sqrt(72) - (sqrt(72) + sqrt(72)*1)))**2)).\nAnswer: -216*sqrt(2) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 3, m: 1}. What is prob of picking 1 w and 1 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99149221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 4741064?\nAnswer: 23705320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 25*k**2 - 3*k + 4. Let s(g) = g**2 - g + 6. Calculate -s(l) + t(l).\nAnswer: 24*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -269485.1169 + 269506. Let d = -20.9 + f. Let x = -0.02 - d. What is x rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -2.8. Let b = 29761\/48 + -620. Let t = 5\/16 + b. What is the closest to t in 0.3, n, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b5a + -3?\nAnswer: 1b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 + 228338478 - 228338478 + 60*z**2.\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1 + 3 - (2 + sqrt(272)*-3))*4)**2.\nAnswer: 1024*sqrt(17) + 69696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 608.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 2547435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1617, -157, -1 in descending order.\nAnswer: 1617, -1, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-14)*(-2)\/3. Suppose -7*g + 8*g = 0. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 11 = 1. Find the third derivative of -d*o**5 - 12*o**5 - 19*o**2 + o**5 wrt o.\nAnswer: -1380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/((-248)\/372*(-1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 + 12*p**3 - 10*p**2 - 12*p + 11 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*q - 1, 0 = 3*r - q - 5 - 5. Let f(b) = 102*b**3 - 103*b**r - 5 - 5*b + b - 6*b**2. What is f(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. What is the remainder when 24 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 3*w**3\/2 - 21*w**2\/2 - 39*w. Let z(u) = 13*u - 31. Let f be 2\/7 - 37\/7. Let p(v) = f*z(v) + 7*o(v). Calculate p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260026477 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3766897 minus 0.4707?\nAnswer: -1.8473897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20734060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bbc18 (base 14) in base 7?\nAnswer: -16003631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5389015 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021 (base 3) to base 7.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (4 - 24)) + (5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -410*p - 9 - 1 + 10. Find g such that 0*g + p*g**2 + 1\/2*g**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6384+-0.78\nAnswer: -2.4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 1:58 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320074 divided by 14?\nAnswer: -94291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60261 is divided by 753?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0 + 18. What is the hundreds digit of 196 - (p + 9)*(-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19165 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 566072360 to the nearest integer?\nAnswer: 23792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 20*s + 61. Let p be j(-17). Sort p, -5, -8 in ascending order.\nAnswer: -8, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0361 times -0.3\nAnswer: -0.01083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3678 divide 153734906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g + 0*g)*(7 + 3 + 4) as v + f*g and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 7 = -4*s, 4*s - 9*s + 4*v - 11 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1313 + 2783. Suppose 18*v = 8*v + z. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24346003 (base 7) to base 14\nAnswer: 40a53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9659 - 2726. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (13\/4)\/((-25)\/(-200)) and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**2 - 194*q - 194. What is n(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1601660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1615513 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163089 is divided by 6788.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385195 is divided by 455.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26470, 26469, 26468, 26467?\n\"Answer: -n + 26471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 20*j**2 + 26*j - 3. What is the remainder when c(13) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -476, -849, -1222, -1595, -1968, -2341?\n\"Answer: -373*a - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/12 + 11*f**3\/2 - 16*f**2 + 279*f + 2. Factor u(d).\nAnswer: -(d - 32)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/950 and 97\/1520.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6088239 divided by -18283?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8721 and -0.5.\nAnswer: 8720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2423200212 (base 5) to base 14.\nAnswer: a7b446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.5 - -30. Which is the nearest to -3? (a) n (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)\/w*w)\/w**5)\/(w**(-2))**28*(w*w\/(w**(-2\/7)\/w)*w)**29*w**(-2)\/(w*(w\/(w**(-2\/9)*w)*w)\/w) assuming w is positive.\nAnswer: w**(10462\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 203?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23349310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.46659 millilitres?\nAnswer: 0.00146659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 5*d - 110 = 0. Solve -12*v = -d*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 2*s**2 - 1\/105*s**7 + 0*s + 0*s**3 + 0*s**5 + 0 - 1\/8*s**4 + 0*s**6. Find the second derivative of v(l) wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3301 + -3299. Which is the second smallest value? (a) 4 (b) 1 (c) -0.1 (d) s (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 12*a**2 + 10*a + 13. Let t be i(11). Suppose u + 5 = 5*j - 3*u, -u = -2*j + t. Is -2 - 46\/(-2 + j) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0732 take away 33809.7?\nAnswer: -33809.7732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**6\/120 - k**5\/30 - k**4\/24 + 5*k**2. Let c = 4 + -1. Is 3 a factor of p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/68)\/((-5)\/(-12)) + 0 + -1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -56. Solve -c = 2*x + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.02 - 64. Let f = j + -0.52. Let d = 1 + f. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, l: 1, p: 2}. Give prob of picking 2 r and 2 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa065 - -179?\nAnswer: aa1de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 33.66547m?\nAnswer: 0.03366547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1937)\/149*7\/((-35)\/5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b - 52. Give s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 12\/(-20) - (-138)\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -4*z. Let y be (z*1)\/(51\/34). Suppose -6*a - 4 = -y*a, 4*g - 6168 = -4*a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**3 + 60*b + 55*b**3 + 73*b**3 - 15*b**3 - 60*b.\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22006160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1958*u + 12 - 1971*u - 1963*u + 5903*u.\nAnswer: 11*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 4*p**2 + 6*p + 6. Let k be (1 - 2) + -1 + -9. Let i = k + 6. Determine g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2055*p - 2*l = -2050*p - 3*l + 8, -7 = 16*p + 3*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -2 + 0 - (63 - 12062 - (4 + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**5\/5 - y**3\/3 + y**2\/2 - y + 51. Let s(c) = 14*c**4 + 3*c**3 - 14*c**2 + 2*c - 5. Let a(d) = 5*i(d) - s(d). Factor a(g).\nAnswer: -3*g*(g - 1)*(g + 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 5*i**4\/4 - 25*i**3\/3 + 20*i**2 - 20*i + 20. Find y such that d(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 10*u - 1683 = -3*c, -4*u = -4. List the prime factors of c.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let f(j) = -1081*j - 3. Determine f(o(m)).\nAnswer: -2162*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/126 + 12\/54. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2016, 8282, 18728, 33354?\nAnswer: 52160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15\/13, 0.4, -1, 0.17, 2.55 in decreasing order.\nAnswer: 4, 2.55, 0.4, 0.17, -1, -15\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 6\/35, -4, 0 in increasing order.\nAnswer: -4, 0, 6\/35, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 49*h + 95 = 4*w + 53*h + 212, 46 = -4*w - 2*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6048 and 281484?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85168?\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Suppose 7*q + 222 + 44 = 0. Let c = q + 33. Let k be 8\/10 - 1\/c. Calculate d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3224715649 - 3224715662.40000001. Let g = -13.4 - y. Round g to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s + 2*s - 1240. What is the greatest common divisor of 170 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 92201834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - -102. Suppose 2*w = 5*n + a, -w - 2 = 2. Is -26 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410690 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*n + 9 + 5*n + (2*n + 2*n - 5*n)*(-1 + 0 + 0).\nAnswer: 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(-8)*u**(-12)*(u*u*u*(u**(-8)\/u*u)\/u)\/u*u assuming u is positive.\nAnswer: u**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -522 - -522.1. Which is the closest to 19? (a) -2\/9 (b) 2 (c) -5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 - (-3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((105\/(-14))\/3)\/((-3)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 21*n**3 - 62*n**2 + 352*n + 19. What is the remainder when p(7) is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-132)*1*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -18.7. What is y rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 43*b**2 + 6*b + 6. Let o(m) = 259*m**2 + 35*m + 35. Let j(p) = -6*o(p) + 35*r(p). Let t(d) = -4*d**2. Give t(j(n)).\nAnswer: -9604*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 225*k - 45. Let a(l) = -2*l - 1. Let r(f) = 2*a(f) - c(f). What is the tens digit of r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38752, -77467, -116182, -154897, -193612?\nAnswer: -232327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15171.\nAnswer: 3, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**3\/4 + 6339213*d**2\/4 + 12678447*d\/4 - 19017657\/4 = 0.\nAnswer: -3, 1, 2113073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57471, 116356, 175241, 234126, 293011, 351896?\n\"Answer: 58885*r - 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + r**3 - 8*r + 146*r**2 - 3 + 1 - 2 - 151*r**2 = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -69. What are the prime factors of (34\/51)\/(2\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26 - 713\/(-2 - -25). Sort -1, -4, 23, q, 0 in decreasing order.\nAnswer: 23, 0, -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/410 and 67\/32688480.\nAnswer: 32688480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z - i + 189, 0 = 3*z - 3*i - 153. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i + 205. Suppose 4*h + 99 = -q, -4*q + q - 81 = 3*h. Let j be v(h). Sort -1, 1, j, -5.\nAnswer: j, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.914 + -1.226. Let f = a - -15. Let b = -0.14 - f. Is -1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2) - (-4)\/(-8). Let c(b) = 0*b**2 + 4*b**l + 0*b**2. Let u(i) = -3*i**2. Give c(u(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -539 + 526. Let o(d) = d**3 + 12*d**2 - 15*d - 17. Determine o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 2*l**2 + 0*l**3 + 3*l - 1\/4*l**4 + 0. Find the first derivative of m(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 7*q + 17. Let n be a(-7). Suppose 9*g - 4*g = 10. Suppose -5*v = f - 2*f - n, -5*f - g*v = -23. Solve -2*i + 0*i = 0, 0 = f*x + 4*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 8*z - 15. Let g be o(9). Which is greater: g or -40\/7?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwweqwwww. Give prob of sequence qew.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235354352 + 112?\nAnswer: 235354504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 145*s - 154*s. Solve -2*u + 1 - 3 = s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -3, 577\/159, -1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -2\/33, -0.5, 2, -839?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242232, 484473, 726714, 968955, 1211196?\nAnswer: 1453437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -170022827.\nAnswer: -850114135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**4*p*p*p**(5\/4)*p*p)\/(p**(-1\/3)*p)**31*(p**1)**(-15)\/(p**(1\/2)\/(p\/(p*p**(-2\/5)))) assuming p is positive.\nAnswer: p**(-1531\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 3072.\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by -8.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j. Suppose -5*s = -2 - 8. Let r(m) = -m**s - 1 + 2 - 1. Give v(r(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 2, b: 5, f: 5, g: 3}. What is prob of sequence bbfb?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 - 7*j + 2. Let h = 95 + -90. Let r be w(h). Let m(p) = 2*p**2 - 6*p - 15. List the prime factors of m(r).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/4 + 2*d**3\/3 - 3*d**2\/2 + 2*d + 3. Let f be x(2). List the prime factors of 3 + 8\/f + 30.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237720994.\nAnswer: 2, 7, 479, 35449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 675000*k. Let u be (80\/(-1 + 3))\/(-1). Let g be (3\/2)\/(15\/u). Let w be p(g). What is w rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2643 - -338002?\nAnswer: 335248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7807 and 2003.\nAnswer: 15637421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 15*w**2 + 57*w - 33. Calculate s(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534917877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 2*p**4 - 4*p**4 + (-5*p + 2*p + p)*(0 - 3 + 5)*(-25*p + 75*p**3 - 1 + 22*p - 28*p**3).\nAnswer: -191*p**4 + 12*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**(-4\/3))**(1\/47)*(t*t**1)**10*(t\/(t*t**(-6)))\/t*t\/t**(-2\/5) assuming t is positive.\nAnswer: t**(18622\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:02 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.94 + -4. Let g = s + -1.94. Sort -4, g, -0.3 in ascending order.\nAnswer: -4, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-387)*144 - -42.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 299*b**9\/36 + 31*b**5\/60 - b**4\/24 - 2*b**3 + 8*b**2 + 94*b - 1. What is the third derivative of j(c) wrt c?\nAnswer: 502320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2. Let b(n) = 25*n**2 - n - 6. Give b(g) - 3*x(g).\nAnswer: 22*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 6*m - 7, 88*m = -3*o + 93*m + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 + 195. Let h(i) = -i**2 + 6*i - 3. Let y be h(5). Suppose 0*o - 4*a = -y*o + 26, 2*a = -2. What is the highest common divisor of t and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43456191 or 43456194?\nAnswer: 43456191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23406 and 7968?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359504, 359531, 359582, 359663, 359780?\nAnswer: 359939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*t**3 - 192*t**3 + 98*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 3*t**2 + 4*t**2 + 9 - 9 - t**4 + 2*t as b*t**4 + n + h*t + o*t**2 + w*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 1079, 1885, 2857, 3995?\nAnswer: 5299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5060 is divided by 172?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m**2 + 47*m + 37. Let k(b) = 17*b**2 + 59*b + 36. Determine 4*k(t) - 5*z(t).\nAnswer: -17*t**2 + t - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 598.\nAnswer: -1, 4, 5, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*h + m, 2*m - 1 = h + 6. Let j(o) = o**3 + 13*o**2 + 10*o - 18. Let d be j(h). Suppose u - d = 26. What is the highest common factor of u and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1101518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/4979460 and 29\/1991784.\nAnswer: 9958920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 divided by -5.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*j, 2*j - 7 = -4*f - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22817520)\/(-12384)*2\/55?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from kdkkdkdgkgkd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903.209 microseconds in minutes?\nAnswer: 0.00003172015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.44? (a) 3 (b) -1\/6 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34d (base 16) to base 7.\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - 1. Let j(f) = -7*f**4 - 6*f**3 + 14*f**2 + 6. Let x(l) = 6*d(l) + j(l). Find the third derivative of x(m) wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q - q)*(-72 - 250*q + 507*q - 266*q).\nAnswer: 9*q**4 + 72*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let w(s) = 10*s. Let u(y) = -y**3 - y**2 + 1. Let b be u(3). Let c(j) = 90*j. Let r(o) = b*w(o) + 4*c(o). What is l(r(m))?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1678 = r - 3*a, 3301 = 2*r - 0*r + 5*a. Let s be r - ((2 - -2) + -7). Calculate the highest common factor of 98 and s.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 + -124. Let z = 42 + u. What are the prime factors of z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 - -732. Let f = j - 131. Calculate the remainder when f is divided by (32\/48)\/((-4)\/(-174)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*y = 157, -z + 15 + 13 = -4*y. Let x = z + -10. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 13*d**2 - 4*d + 23. Let c be q(-13). Let f = 82 - c. Solve f*b = 2*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**2*(l\/l**(2\/7)*l)\/(l**(1\/3)*l*l*l*l))\/(l**(-7\/6)*l*l**(-1))**(-29\/5) assuming l is positive.\nAnswer: l**(-657\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2448)*-2 + sqrt(2448)) + -1 + sqrt(1700) + 2)**2 + -2.\nAnswer: -100*sqrt(17) + 42499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22215, -22220, -22225, -22230, -22235?\n\"Answer: -5*u - 22210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 320. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2954853688?\nAnswer: 2, 1993, 185327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - n - 2*n + 3*n + 2*n - 7*n - 2*n - 3 + 3 + (-2 + 1 + 2)*(-2 + 2 - n) - 5*n - n + 4*n + (6*n - 2*n + n)*(2 + 0 + 1).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 7610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 1 + (-2 - -1). Suppose 2*r = c, -l + 5 = -r + 2*r. Let h(m) = 45*m - 1. Is h(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y)\/y**1*(y\/y**(-7))\/y**(-7))\/(y*y\/(y**(-3\/4)\/y*y*y)*y**(-4)*(y**(1\/4))**13) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1144 and 109\/1627392.\nAnswer: 17901312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 8*h**3 + 9*h - 10*h + h**3 + h**4 + 2*h**2 - 14*h**3 - 1 in the form z*h + j + y*h**3 + k*h**2 + l*h**4 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2 - 9*j - 13. Is u(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21249206 + -17084365487\/804. Let r = 93\/67 + k. Find the common denominator of r and -2 - -37*3\/(-66).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 1522*z - 1513. Calculate y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 32 + 1. Suppose -3*t - 5*s + g = 0, 0 = -t - 5*s + 2*s + 17. Find the third derivative of -2*w**2 + 403*w**3 - 35*w**t - 404*w**3 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - 603. Let h be 5*(0 + n\/(-15)). Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 1 = 0. Let b = 2052 - 2049. Solve l = b*u - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436 (base 13) in base 14?\nAnswer: 1c15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7*p = -10*p. Suppose 4*v + 0 - 16 = p. Suppose -4*r - 2*g + 175 = -51, -3*r - v*g + 157 = 0. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:08 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 6*x**2 - 1 - 1 wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thwwwhbwwwwvhbwwwwb. What is prob of sequence hb?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 7*l**2 - 5*l + 7. Let m be w(-6). Let s be 130\/(-35) + (-2)\/7. Let j be (-2)\/s*(m + 5). What is the greatest common divisor of 15 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5 - 2. Suppose -86 = -5*c - 6. Solve -z + c = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - 11*4\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**2 + 21 - 21 to the form u + t*z**2 + s*z and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -104.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -0.0125?\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7467255 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12362783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.96 - 0.04. Let v be ((-3)\/(-6))\/(4\/(-8)) + -3. Which is the nearest to t? (a) -2 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-10))\/((-14)\/(-140)). Solve 0 = -2*n - 10, -f*c + 19 + 26 = -5*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9030 - -24.\nAnswer: -9006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1420211211 + 2?\nAnswer: 1420211213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -35*c - 992. Give f(-30).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 2563793578?\nAnswer: -2563793583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -38*k. Let v(w) = 3*w**2. Give b(v(m)).\nAnswer: -114*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 164, 4, -0.3 in ascending order.\nAnswer: -0.3, 5\/6, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 7:31 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o. Let r(b) be the second derivative of 0*b**3 - 1\/24*b**4 + 0 - 5\/2*b**2 - 2*b. Let c(w) be the first derivative of r(w). Determine c(i(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -71. Let x = a - -19. Let k = -35 - x. What is the second smallest value in 4, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 32867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-20))\/((-3)\/(-12)). Factor 6\/5*i + 2\/5*i**3 + a + 6\/5*i**2.\nAnswer: 2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -78*((-4)\/6)\/((-34)\/(-51)). What is the highest common divisor of z and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 8022791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 + 0 = 0. Suppose -3*o = -7*o + u + s, u = -2*o + 5. Let g = -123\/565 - -2\/113. Which is the closest to o? (a) -2 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -771842*b - 922891?\nAnswer: -771842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 0*h - 46*h**2 + 26*h**2 to d*h + z*h**2 + q and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3080.89 + -3081. What is the second smallest value in m, -5, 279\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 6. Suppose -h*o = -4*o + 11100. What is o rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose -5*z + 18 + 347 = 5*s, -s = -5*z + 377. Let r = z + -70. Solve n*j + r = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6009160838?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 21*n**3\/2 - 54*n**2 - 435*n\/2 + 567 = 0.\nAnswer: -27\/7, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 840\/100*((-3442)\/(-20) + 12\/30). Let u be (-1)\/2*-2*3. Suppose -u*d + b = 4*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 4736348?\nAnswer: 80517916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nccn when four letters picked without replacement from nnccnnc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3586167859 and 0.0085.\nAnswer: 3586167859.0085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(1100)*2 - sqrt(1100)) + -3 - (2 + 2 + sqrt(1100) + 5))**2 + -1.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5757251 micrograms in nanograms?\nAnswer: 575.7251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/((-18)\/(-8))*1. What is the third derivative of -3*j**v + 3*j**4 + 5*j**2 + 7*j**6 + 5*j**2 wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k - 84*k = 4*i - 5, -k = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131994768?\nAnswer: 2, 3, 2749891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 10*q - 24. Find the third derivative of 136*v**4 - 4 - 35*v**q + 6 + 54*v**2 wrt v.\nAnswer: 2424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b + 6. Let h be m(0). Let k = -109 + 157. Calculate the greatest common divisor of h and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 4*r + 3*r + (0 + 0 - r)*(-4 + 2 + 0) + r - 5 + 6 + 7*r in the form n*r + m and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:19 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.383, -1\/2, 3, -11 in descending order.\nAnswer: 3, -0.383, -1\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 - 66207?\nAnswer: -66257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3080 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -105, -94, -79?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (2 + 2 - 3). Which is bigger: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (2 - 1))*1. What are the prime factors of o*16*(3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 11*z**2 + 5*z - 7. Let t be g(7). Suppose t = -0*c + 5*c. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 649.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -3. Let n = 376.85 - 376.52. Which is the closest to 0? (a) 0.1 (b) -3\/5 (c) o (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.176 or -155?\nAnswer: 0.176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -2\/3 (c) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 31 = -4*y, y + 5*u - u = -8. Let p be -169*((1 - 3) + 0). Suppose y*v - 2*x = 316 + p, -2*x = -v + 171. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*u**3*v**2 - 89*u**3*v + u**3 + 2001*u**2*v + 19500*v**2 wrt v?\nAnswer: 48*u**3 + 39000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8305 divided by -5.\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8160 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/2 - 2239*q\/2 - 19176 = 0 for q.\nAnswer: -17, 2256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 + 2*p**2 + p**2)*(-1 + 1 + 3*p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*s - 2*s**3 + 14*s + 0*s**3.\nAnswer: -2*s**3 - 78*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1693.06 and 3?\nAnswer: 5079.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7864.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) - (sqrt(2646) - sqrt(6)) - sqrt(6)) + 3.\nAnswer: -sqrt(11)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 21, -4465 in decreasing order.\nAnswer: 80, 21, -4465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 8*i**2 + 10*i**2 - 19*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1177.756 at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/7 in -0.5, 80, 0, -10\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 + 249?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23348 - -70045\/3. Which is the nearest to -0.2? (a) h (b) -4\/21 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*z + 5009 + 4175 = 0 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29078, 58176, 87274, 116372?\n\"Answer: 29098*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + 2*k**3 - 2*k**3 - 2*k**3 + 3*k**3 + (-4 + 5 + 1)*(k + 2*k**3 - k) + 7*k**3 + 0*k**3 + 2*k**3 - 9 - 9 - 5*k**3 - 12.\nAnswer: 9*k**3 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - -87. Let l be (-9)\/6 + 12\/w. Solve -7*b + l*b = 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22710 (base 12) to base 15\nAnswer: d933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b - 12. Suppose 3*o = -y + 53, 7*y - 2*y + b*o = 309. Suppose k = -3*d + 5*k + 30, -4*d + y = 3*k. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n - 4. Let k = 9 - 13. What is the units digit of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 17*y**2 + 19*y - 13. Let u be x(18). Suppose 33 = -u*r + 93. Calculate the least common multiple of r and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12161, 23, 3, -1 in descending order.\nAnswer: 23, 3, -1, -12161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 2*v + 5. Let m(h) = -8*h**2 - 7*h + 102. Give m(i) - 4*r(i).\nAnswer: -4*i**2 + i + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w**2 - 533*w + 41. Let u be k(-21). Calculate the highest common divisor of 404 and u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 16 + f**4 + 2*f**2 - 7*f**3 + 3*f**2 - 2608*f - 4*f**2 + 2603*f as j*f**2 + g*f + b*f**4 + p + l*f**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -2*o**7\/105 - o**6\/30 - 7*o**3\/3 + 49*o**2. Differentiate x(g) with respect to g.\nAnswer: -16*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 12555?\nAnswer: 87885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w**(1\/4)\/w)\/w)**(-2\/9))**(2\/79))**(-10))**(-10) assuming w is positive.\nAnswer: w**(100\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(1700) - sqrt(1700)*2) + -1*sqrt(17) + 1 + sqrt(17) + 4.\nAnswer: -10*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77, 130, 219, 344?\n\"Answer: 18*r**2 - r + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, 1 v, and 1 q when four letters picked without replacement from yvwqvqyqqqwqvyyqegqy?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2331 + 581. What is g rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3769118 or 52767651\/14?\nAnswer: 52767651\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 4. Let p be a + 2\/1*-1. Find the common denominator of p\/(-6)*(-98)\/(-18) and -71\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h - h)*(5*h - 3*h - h) - 2*h**2 + 0 + 0 + (3 - 3 - 2 + (0 + 0 - 1)*(-4 + 5 + 0))*(-h + h + h**2).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 145. Calculate the highest common factor of 29 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1279d (base 15) to base 16.\nAnswer: e6da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 164.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 13, 3, -1, 0 in decreasing order.\nAnswer: 274, 13, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*x = -6, 0 = -3*v + x - 4. Let i = 2 + v. Let j be 3\/i - (5 + -2). Solve 5*p - 5*l - 10 = -j*p, 4*l = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4601, -6843, -9077, -11297, -13497, -15671, -17813, -19917?\nAnswer: -21977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6941, -6942, -6943, -6944, -6945, -6946?\nAnswer: -6947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/828 and -49\/820.\nAnswer: 169740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1668648 or 0?\nAnswer: 5\/1668648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Let i be (70\/(-25))\/((-6)\/15). Solve -m*w + 1 = -4*d + i, 7 = 3*d - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 28172?\nAnswer: 28178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 86*k + 763. Let l be t(76). Solve 5*x - 5 = 5*v, 3*x = -l*v + 4*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*x = -139*x - j + 358, -2*x + 4*j = -698. Calculate the highest common divisor of 1846 and x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 0.4, 5, 86\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372563573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17464 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:37 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 67 + 203 - 47*r - 71.\nAnswer: -47*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -728 or -726?\nAnswer: -726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*p = 138*p - 67845. List the prime factors of p.\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.3163 - 3.044509.\nAnswer: -50.360809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23853.\nAnswer: 3, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 1. Suppose -3 = -3*z - 2*l + 4, 4*l = 2*z - 10. Determine b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:50 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3365 or 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*v, -6*l + 5*v = -l + 95. Let g be 4\/l + (-30)\/8. List the prime factors of ((-22)\/(-4))\/((-2)\/g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38975, -38973, -38969, -38963, -38955?\n\"Answer: c**2 - c - 38975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3818100 and 1246.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*16\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*j**5 - 8*j**3 + 1812*j**2 + 2*j - 459601?\nAnswer: 280*j**3 - 48*j + 3624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 f when four letters picked without replacement from effyyfyyyyyyyeyyyyyy?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63\/346 + -251\/2422. Which is the closest to d? (a) 0.5 (b) -4\/5 (c) 4\/159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 4, u: 1, t: 7}. What is prob of picking 2 o and 1 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1931, -6250, -13409, -23414, -36271, -51986?\n\"Answer: -z**3 - 1414*z**2 - 70*z - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u. Let c(x) = 231*x + 17. Let a(j) = 201*j + 14. Let f(q) = 6*a(q) - 5*c(q). Give v(f(i)).\nAnswer: 969*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49491504, -98983009, -148474514, -197966019, -247457524, -296949029?\nAnswer: -346440534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 2*l**2 + 1148*l - 1148*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 1. Suppose -8 = 5*x + 2. Let m be q(x). Suppose -3*z = -2*g - z + 510, 4*g = -m*z + 1048. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2032 (base 6) to base 10\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 13*x - 17*x - 19*x + 68*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 84 = -45*t + 78*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqb when three letters picked without replacement from {b: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 17*p**2 - 19*p + 108. Let r be h(9). Solve -r = 8*o - 2716 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-156)\/(-16) + -9)*96\/4 and 1422.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-81))\/((-20)\/24). Which is the closest to z? (a) 26\/3 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d**(2\/9)*(d*d**0)**(27\/5))**(12\/7) assuming d is positive.\nAnswer: d**(324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 86*t - 2089, c = 348*t - 172*t - 181*t + 115 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - 12 = 5*x, 4*x + 16 = -4*k. Let n be (-14)\/(-77) - (-26)\/(-22). Let j = -0.7 + 0.6. What is the closest to n in j, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1649, -1647, -1645, -1643?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*w**2\/4 - 45*w\/2 - 2.\nAnswer: (w - 4)*(23*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**2 - 2690*d - 45851. Calculate s(-655).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*i**2*v - 282*i**2 + 5*i*v - 24*i - 466*v wrt v?\nAnswer: -17*i**2 + 5*i - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*t - 5*t. Suppose -12*y + 20*y = 32. What is the smallest common multiple of y and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 349, 799, 1421, 2209, 3157, 4259?\nAnswer: 5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 17 + 2 + 44 + (10 - (-6 - -14)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:56 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10)*10\/2. Let x be -4*(0 - (-2)\/a). Suppose -4*w + 12 = 0, 0*v + x*v + 3*w - 53 = 0. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*42\/(-112)*-8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.6926*0.3.\nAnswer: -6.50778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 2*j - 6. Let y(b) = b**2 + 8*b - 14. Let v be y(-10). Let x be (v - 3) + 5*-1. Let n be (-132)\/(-28) - x\/7. Determine q(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4144073, 8288148, 12432223, 16576298?\nAnswer: 20720373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9703501, -9703500, -9703499, -9703498, -9703497, -9703496?\nAnswer: -9703495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 20. Suppose 309 = j*x + 99. What is the third derivative of 105*z**4 - 11*z**2 - 12*z**5 - x*z**4 wrt z?\nAnswer: -720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 1\/8 (c) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1317 and 46351.82.\nAnswer: 46351.9517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from lxxpxxxxxlxlpxpxxxxp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583788251 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -136*j**3 + 1621*j**2 + 132*j - 65. Give z(12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**8\/42 - 5*c**4\/12 + 4*c**2. What is the second derivative of v(o) wrt o?\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-123 - 1)*(14\/(-4))\/7.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*y - 110*y - 2 - 128*y + 10*y.\nAnswer: -323*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1148 - 1439*y + 1148. Is j(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -5)\/((-3)\/(-2 + 5)). Suppose -5*f + 43 + 22 = w. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 356*t - 40. Let i(u) = 2*u + 173. Give i(p(l)).\nAnswer: 2*l**2 + 712*l + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184 - 184. Let k(z) = 20*z + 248. What are the prime factors of k(c)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + 2*sqrt(190)*4)\/((2*sqrt(250) - sqrt(250)) + sqrt(250)) + 3.\nAnswer: 3 + 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 86094 or 86093?\nAnswer: 86094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62764*q + 154 = 62753*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thw. What is prob of sequence th?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39629 = -1191*u - 61606 for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140385135 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 4. Suppose -3 = 198*a - 199*a. Solve r*w + a*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9957, 19908, 29859, 39810?\nAnswer: 49761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204184912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**3 - 143*y**2 - y + 42. Give h(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129414\/13 + -2069393\/208. Let j = 42\/13 - v. What is the common denominator of 133\/6 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -21 + p**3 + 27 - p - 6*p**2 + 2*p**2 + 3*p**2. Calculate z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 44 = t + 6, t - 38 = 4*p. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -867, -1017, -1265, -1659, -2247?\n\"Answer: -8*z**3 - z**2 - 91*z - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 177*m + 2329. Let g(h) = -309*h - 4661. Determine -7*c(t) - 4*g(t).\nAnswer: -3*t + 2341","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40594 = -108*k + 33034 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -746 (b) -12 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**2 - 28*p. Let m(w) = -9*w**2 + 9*w. Let n = -12044 + 12049. Determine n*t(z) + 16*m(z).\nAnswer: -4*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195 (base 11) to base 7.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 2*q**2 - 3*q + 1. Let r be m(2). Find the common denominator of -5*(75\/(-24))\/r and -43\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-78)*(-66)\/7 + -2. Let f = -0.1 + 0.2. Which is the closest to -2? (a) f (b) z (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (20 - 3\/(-3)). Let s be -2 + 2 - f\/(-2). Suppose l = -l + s. Solve 2*q = 2*j, -l*q + 0 = -4*j - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*y - 1 + 3, -2*g + 20 = -2*y. Solve -2*h - 5*r + g + 8 = 0, h = 2*r - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 4686343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -7. Suppose 0 = 2*c - b*c + 3*v + 117, 12 = -4*v. Calculate the highest common factor of c and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42683 (base 11) to base 4\nAnswer: -33021123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 24.9. Let v = -192\/287 + 4\/41. Let r = -8 + 6. What is the closest to y in r, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3*q**4\/4 - 11*q - 102. Let h(j) = 5*j**3 - 21. Determine -4*h(a) + 7*m(a).\nAnswer: a**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 222397175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 4*h**2 + 5*h**2 - 5*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(1 + 1). Let p be (s\/(-6))\/((-2)\/(-4)). Let a be -3*3\/(-9) - p. Solve a = -m - 1, 3*l = 3*m - 2*m + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 296711555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*j - 48, 2*m - 7 = -j - 2*m. Suppose -2*g + 6*g - 12 = 0. Suppose -g + j = i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 395388138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r**2 - r**2)*(-54*r**3 + 13*r**3 - 23*r**3).\nAnswer: -64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -36. Let f be -4 + 303\/4 + p\/(-4). What is the highest common divisor of 90 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 15*b**2 - 15*b + 12. Let r be h(-4). Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15*5*415\/(-70) + 24?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3762.64?\nAnswer: 11287.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 3*v - 5*v, -3*a + 20 = v. Let n(y) = 30*y - 156. Let b be n(7). Calculate the highest common divisor of a and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 10*y. Suppose 3*s = 5*j + 4 + 2, 0 = s - 3*j + 2. Determine m(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 39*r**2 + 26. Determine m(-39).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + h + 1. Let w(s) = -s - 2. Give g(k) - w(k).\nAnswer: -k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 1)*(-2 + 2 - 1)*(1 - 1 - l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*l = -3*t - 15, -5*l + 25 = -2*t. Suppose -4*r + t*m - 28 = 4*m, -4*r - 22 = -2*m. Let g = r - -16. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/64 and -91\/202?\nAnswer: 6464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 1 + 16. Suppose 5*d + 13 = -h, -2*d + 60 = l*h + 10. Let q(b) = -148*b + 890. Let v be q(6). Solve -v*p = p + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5575806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:39 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*i + 215, 108 + 62 = 4*i - 2*y. Let q = 21 - i. Let d = q + 61. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8335, 7707, 7065, 6403, 5715, 4995?\n\"Answer: -v**3 - v**2 - 618*v + 8955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 8. What is the remainder when 33 is divided by p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 9:22 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-3)*(-84238)\/(-6564)*(-1)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 19. Let z be (-1)\/((-2)\/(-18)) - (-48 + 42). Let o(w) = -3*w + 4. Let j(s) = -2*s + 2. Determine f*j(l) + z*o(l).\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 633 = 3*v. Let x = 1901\/9 - v. What is the biggest value in x, -0.2, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -176158 - -176158.089061. Let q = 0.089 - a. Round q to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*g - 9*g = -319, 633 = 4*h + 5*g. Calculate the remainder when 623 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23456\/8417 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i - 2*i + 5*i)*(23 - 25 + 25) in the form y*i + b and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r - 28. Let n = 42 - r. Suppose -2 = -z + n*k, 4 = k - 1. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*f - 2500 + 160*f + 2502 - 97*f**2 + 10*f**2.\nAnswer: -87*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 194, 192, 188, 182, 174, 164, 152?\n\"Answer: -z**2 + z + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-1\/27)\/(y\/y**(2\/5)*y**(1\/7)) assuming y is positive.\nAnswer: y**(-667\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 28 = 4*n - 0*x, 2*n + x = 0. Let t = n - 15. Let v = 25 + t. What is the remainder when 30 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 2*j = -6, 0 = 5*j. Let y(d) = -2*d**2 + 3*d - 3. Let l(b) = b**2 - 3*b + 2. Determine u*l(q) - 2*y(q).\nAnswer: q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (84\/105)\/((-3)\/45). List the prime factors of ((-5493)\/y)\/((-6)\/(-24)).\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302184301.\nAnswer: 11, 118380391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -291, -528, -765?\n\"Answer: -237*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 3*c**2 + 5*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 2)**2 + 0.\nAnswer: 36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w + 11. Let b be s(-9). Let a(j) = -j - 2. Let d be a(b). Suppose 21 = d*k - 34. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 415?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7360374 divided by 6043.\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 - 11 = -5*u, a - 4 = -4*u. Let x be (0 - 0)*(2 - (2 - 1)). Suppose x = -0*o - o + 9. Solve 4*q + z + 3 + 9 = 0, 3*q = a*z - o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 44*s - 112. What is the remainder when j(6) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 131, 226, 311, 338, 259, 26, -409?\n\"Answer: -8*k**3 + 43*k**2 + 22*k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -64*i + 4*i**3 + 40 + 86*i**4 - 9 - 296*i**2 - 7 - 8. Let a(d) = -17*d**4 - d**3 + 59*d**2 + 13*d - 3. Let n(v) = -16*a(v) - 3*z(v). Factor n(u).\nAnswer: 2*u*(u - 2)*(u + 2)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 53*k - 1268. Give c(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*x + 4 + 6, 20 = -5*x. Find the second derivative of l**4 - r*l**4 - l**3 - 3*l + l**3 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2)*(-1)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 171*h - 64*h - 647*h - 776*h - 384*h.\nAnswer: -1714*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q - 59*q + 89*q = 25*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 1064204?\nAnswer: 33\/266051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*m + 1 + 2, 3*m = -4*q + 7. Let g(s) be the first derivative of 27 - 15 + 2*s**2 + 7*s - q*s**2. What is the first derivative of g(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/(4\/(-60)). Suppose 0 = 2*l - 3 - 3. Suppose -l*h - 6 = -5*h. Solve h*c + 2*c + d = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-9 + 4142\/(-532))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1875.0901 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001001110111 (base 2) in base 3?\nAnswer: -1001221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2894*v + 2.\nAnswer: -2894*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p - 5*l = 83*p + 54, -3*p + 22*p = 4*l - 0*l - 1521 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1428060 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/19)*d**4)\/(d*d\/((d*(d*d**21)\/d)\/d*d*d)*d*d*d*(d*d\/(d\/((d**(2\/41)\/d)\/d*d)))\/d*d) assuming d is positive.\nAnswer: d**(17264\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 451 and 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 7*t**2 + 3. Let r(u) = -6*u**3 - 13*u**2 - 6. Calculate 11*i(x) + 6*r(x).\nAnswer: -3*x**3 - x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 6 = -r. Solve -25 = -5*a, -4*n + 5*a + r = 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - 4*v - 3*v - v + 4*v - 4*v + (-1 + 2*v + 1)*(-1 + 4 - 1) - 2*v - v + v + 2*v - 13*v - 5*v in the form b*v + s and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -65, -1, 14, -168 in increasing order.\nAnswer: -168, -65, -1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2961, -265, 3, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653 = -8*o - 757 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 - 3*s + 538. Let q be k(0). Let p = q - 529. Let f(t) = t**2 - 1. Let h(m) = -4*m**2 + 9*m - 6. Let w(x) = 3*f(x) + h(x). Determine w(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10160843, 10160847, 10160851, 10160855, 10160859, 10160863?\n\"Answer: 4*g + 10160839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 1. Let q(c) = -4*c**2 + 24*c - 20. What is -5*j(p) - q(p)?\nAnswer: 4*p**2 - 4*p + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 2*h**4 + h - h**3 + 6*h**3 - h**2 - h**2 in the form m*h**4 + u*h**2 + f*h + y*h**3 + j and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w. Suppose w = 3*z - z - 506. Let b = 366 - z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)*q\/q**(11\/2))\/((((q*q**(5\/7))\/q)\/q)\/(q*q**(2\/17)\/q)) assuming q is positive.\nAnswer: q**(-5259\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from {c: 2, p: 2, i: 5, h: 2, q: 1, o: 2}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((20\/(-45))\/(-4)). Let k be (2\/10)\/(j - 195\/(-50)). Which is the closest to -0.1? (a) -0.5 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4\/7, 816, 2\/3, -4, 2\/5 in decreasing order.\nAnswer: 816, 2\/3, 2\/5, -4\/7, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -29\/19637?\nAnswer: -29\/19637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from {s: 5, o: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*b - 8 = -5*s, 9*b - s + 38 - 56 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b**4 - b**3 - 12*b - 4. Let j(n) = -13*n**4 + 2*n**3 - 3*n**2 + 12*n + 5. Let g(h) = 4*j(h) + 5*u(h). Factor g(c).\nAnswer: 3*c*(c - 2)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + ((sqrt(126)\/sqrt(3))\/sqrt(7) - sqrt(6))\/sqrt(3) + -4) + 2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 473535533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 - 136*o + 3. Let x be n(17). Which is the second smallest value? (a) -0.4 (b) -0.1 (c) 5\/132 (d) x (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(4\/(-3) - -1). Let u(g) be the second derivative of -g**3\/6 - 2*g**2 + 21*g - 46. Calculate u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2881044518 - 1.\nAnswer: -2881044519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/312 + (-977)\/(-13). Suppose -r = -3*g - 69. Let 3*z**5 + 5*z**4 - z - 3*z**4 + 0*z**4 - 2*z**g - 2*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*55707.\nAnswer: -27853.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*s - 413 - 399 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125338983 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14961886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 11*n**3\/6 + n**2\/2 + n. Let g(t) = 6*t + 1. Let j = 7 + -2. Determine j*g(w) - 3*d(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29466781\/26272905 - 1\/309093. Let y = d + -4\/51. Suppose -21*s - 3 = 81. Which is the closest to 1? (a) y (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-534 - -533 - ((-150)\/(-14))\/(-1))\/2?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31086 is divided by 438.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 30*o**2 - 102*o - 90. Let p(m) = 3*m**2 - 10*m - 9. Suppose -35 - 70 = 5*g. Let t(d) = g*p(d) + 2*k(d). Solve t(q) = 0 for q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -233327?\nAnswer: -233326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eheh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*b**4*x**2 + 6*b**3*x**2 + 104*b - 2*x**2 wrt b?\nAnswer: -144*b**2*x**2 + 36*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324148423.\nAnswer: 324148423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 982 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -0.8, -1107 in descending order.\nAnswer: 154, -0.8, -1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2 + 55730628*p - 388237862159298 = 0.\nAnswer: 13932657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 0*j**2 + 2*j**2 + (3 + 3 + 1)*(j**2 + 2*j**2 - 5*j**2) to the form s + i*j**2 + u*j and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2703660151.\nAnswer: 311, 8693441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-508)\/(-10) + (-5)\/(-25). Let v = -49 + f. Let s(z) = z**2 - 4*z - 1. Calculate s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(16)\/(sqrt(64)\/sqrt(8) + sqrt(8))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 1)*3\/(-4). Let w(l) = -4*l - 4. Let v be w(5). Let n be ((-30)\/v)\/(1\/4). Solve -12 = -n*a - 2*j, -p*j = 3*a + 1 - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 42. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.9 in 1, 0.1058, -28\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 + 183. Suppose 3 = -k - 4*v - 2, -k = -2*v - 7. Let i(h) = 2*h - 6. Let x be i(5). Which is the third smallest value? (a) k (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 3, q: 13}. Give prob of sequence lqul.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28480 divided by 4\nAnswer: -7120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**6\/120 + 2*t**3\/3 - 4*t. Let w(i) be the second derivative of v(i). Let d(y) = y + 0 + 0. What is d(w(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = 2*x + 4*f, -2*x + 2*f + 8 = 0. Let l be (-45)\/(-54)*(-1 - -7). Solve 17 = x*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -516725 or -1550171\/3?\nAnswer: -1550171\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.7 - 4.1. What is the second biggest value in -0.1, d, -5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 - (-1 + 16 - 40).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 42 = -2. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -15, 5*f - 19 = -3*p + 4*f. What is the least common multiple of p and 12\/(-54) + 20\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2 - 4*z - 61. Let q be x(5). Which is smaller: 39 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2267 + 3310. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 11, 83, 215, 425, 731, 1151?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6)**6\/(a*a**(-1\/3))**(1\/4))**(17\/4) assuming a is positive.\nAnswer: a**(3655\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 1541 + 2142. Suppose i - 2 = -6, d = q - 2*i. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 = -g. Let f = 3864 - 15455\/4. Which is the third biggest value? (a) g (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1583 = r, -6*x + x - 15970 = -10*r. What is the remainder when r is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -24. Let l be (-1)\/3 + 21\/9. Is i not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70)\/3*(-10 + (-264)\/(-30)). What is the biggest value in c, -1, 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let a(x) = 5133*x - 1. Determine a(u(q)).\nAnswer: 10266*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2750.3049 months to centuries.\nAnswer: 2.29192075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let b = 2 + -7. Put d, -0.5, b in increasing order.\nAnswer: b, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w = -396 + 1467. Let g be 2\/4 - 3\/(-2). Put -3, g, w in decreasing order.\nAnswer: g, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwmkkmmsmwmw. Give prob of picking 3 m and 1 w.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-12986)\/860)\/((-6)\/10) and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r = 54*r + q - 3, -q = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7027813*f*g**2 + 10214*f*g + 2*f + g + 2 wrt g.\nAnswer: 14055626*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -862, -1226, -1590, -1954, -2318?\nAnswer: -2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*i + 2*i = -75, 5*i = 4*a + 65. Is ((-28)\/6)\/(a\/150) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-66)\/8)\/(4\/(-16)). Calculate the highest common divisor of 198 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1125056, -4500242, -10125554, -18000992, -28126556?\nAnswer: -40502246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-27)*3\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**2*w**3 + a**2*w**2 + a**2*w - 24*a**2 - 878439*a*w**3 + 14*a*w + 1202*w wrt w.\nAnswer: -24*a**2 - 5270634*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 21*h**2 - 67*h + 30. Is 3 a factor of n(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6754931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:31 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -31693.\nAnswer: -2\/31693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/8)*n*n**(7\/10)*(n\/(n*n\/((n*n*n**(9\/7)*n)\/n)*n*n))**(-20\/9) assuming n is positive.\nAnswer: n**(1739\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235138 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by (58\/(-174))\/(2\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/7945 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(10 - 0) - -1. Let s = 0 - -0.1. What is the closest to 1 in s, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26846, 4, 15\/8 in descending order.\nAnswer: 4, 15\/8, -26846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 77?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1165.76 - -1165.7. What is the closest to 0.2 in -1, l, 3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 62606875*g - 5 + 62606854*g.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 312452291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 390*s**3 - s + 3339*s**3.\nAnswer: 2949*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + 780\/(-42) - (-11)\/7. What is the second smallest value in -1.2, y, 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. What is the units digit of 15 + g - (-3)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - x)*(0 - 3 + 4) + 3*x - 14*x - 19*x - 2*x + 0*x + 0*x)*(-4*x**2 + 0*x**2 + 2*x**2).\nAnswer: 66*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -7, -16, -27?\n\"Answer: -y**2 - 4*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/(-7))\/(-2) - 10\/(-35). Let w(s) = -3*s - 10. Let y be w(l). Suppose -409 = -3*n + 4*k, 335 = y*n - k - 375. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 33 = 0, -4*k + 15 = r - 12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.5 (c) -3 (d) 3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81576, 81577, 81586, 81609, 81652, 81721, 81822, 81961?\nAnswer: 82144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240584 and 51388?\nAnswer: 106578712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/9 (c) -0.1 (d) -0.42 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (1 + sqrt(76) + sqrt(76) + 1)*3)**2*-6.\nAnswer: 5184*sqrt(19) + 99792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 7*i + 4*k + 25, 3*i = -2*k - 15. What is the smallest value in i, -3\/4, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005274089 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus 2050909782.082?\nAnswer: 2050909803.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -29, -4, 97, 0, -3 in descending order.\nAnswer: 97, 0, -3, -4, -29, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 36 - 12*c + 2 + 46. Let j be s(-12). Let g = j - 102. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-1)\/(21\/(-582)). Let i = d + 28. Which is bigger: -2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.19 + 28.19. Which is the nearest to u? (a) 0.2 (b) -0.06 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + 2*i - 1. Let b(y) = -3*y**2 + 2*y - 1. Let r(j) = -2*a(j) + 3*b(j). Determine r(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -147 + 43. Suppose 5*r - 45 = 5*a, -2*a + 0*a + 8 = 0. What is the highest common divisor of s and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 11.7\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 8, w: 8}. Give prob of sequence kssw.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2 + 4 + 3 + 733296676*a**2 - 733296673*a**2 + 2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 934557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/b**(-6\/11)))\/(b**(-27\/4)*b))\/(b*b*b\/b**(-2\/47)*b*b)**(-1\/28))**(-2\/9) assuming b is positive.\nAnswer: b**(-31736\/32571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-3)*9\/5*18. Calculate the highest common divisor of w and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.4654 times -3?\nAnswer: 106.3962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533975 is divided by 76698?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12493421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-1 + 2*4\/4). List the prime factors of (-3740)\/((-20)\/b) - 3.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/300)\/((-10)\/(-275)) - 1\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 10665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 10. Let q(n) = n**3 + 4*n**2 - 18. Let g be q(-7). Let r be (-4)\/3 - (-32)\/24 - g. Calculate the greatest common divisor of r and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*-1 + 4)\/2. Let c be ((-9)\/6)\/(k\/(-2)). Solve z + w = -c, -w - 2*w = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483\/6673259 or 0?\nAnswer: -483\/6673259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/n**0)\/(n\/((n**9\/n)\/n)*n**(2\/9)) assuming n is positive.\nAnswer: n**(235\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = q - 1, -2*c - 3 = 3*q. Let p(b) = -b**3 + b + 1. Let n be p(q). Let h(f) = 10*f**3 + f**2. List the prime factors of h(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 + 38 = 2*d, 0 = 5*d + 2*p - 115. Solve 9*l + d = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 473 (base 10) to base 2\nAnswer: 111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -347*v. Let s(k) = -348*k. Calculate -5*i(w) + 4*s(w).\nAnswer: 343*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 614, -1, -4, 0 in decreasing order.\nAnswer: 614, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129002386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*m = 150, 6*f + 5*m = 4*f + 255. Calculate the highest common divisor of 15820 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -73. Suppose 3 = -4*s - 1. Does 4 divide (-1 + t)\/s - -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 - 43)*(-8 - 5 + 5)*(-3*c - 2*c + 3*c).\nAnswer: -592*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1772 + 1764 + 1766 - 8*i - 5304. Suppose 0 = 107*q - 95*q - 60. Let m(g) = 2*g - 6. Let k be m(6). Let y(a) = 7*a + 2. Calculate k*y(x) + q*c(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 3*k + 972. Let n be (5\/(-30)*0)\/(-2). Is w(n) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -0. Let s = d - -6. Find z, given that 11*z + 4 - z**2 - 9*z - z**s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 + -38. Let u = i + -86. Sort u, -2\/15, 0.035, -1\/2.\nAnswer: u, -1\/2, -2\/15, 0.035","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (374010\/1300)\/(-411)*(1850\/(-28))\/5.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 2849685?\nAnswer: 2849684.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.278 and -16333.\nAnswer: 4540.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42\/5? (a) -111 (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 62.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l + l - l. Let f(p) be the third derivative of -p**4\/6 - 11*p**3\/6 - 3093*p**2 - p. What is f(v(g))?\nAnswer: -12*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, z: 1, d: 7, t: 1, q: 2}. What is prob of picking 2 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 5 + (-5 + 3 + 0)*(-2 + 1 - 1))*(-p**2 + 0*p + 0*p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/15)\/((-8)\/(-20)). Let i(t) = -t**3 - t**2 - 1. Let x(q) = 2*q**3 + 3*q**2 - 2*q + 5. Determine a*i(b) + x(b).\nAnswer: -b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3838 or 4428?\nAnswer: 3838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -1. Let j(c) = -c**3 + c**2 + c + 10. What is the remainder when b\/(-33) - 400\/(-22) is divided by j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141.82 - 140. Let f = s - -0.18. What is the nearest to f in -3, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473662 (base 9) to base 11\nAnswer: -185017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/63 + (-58)\/35 + 2. Sort p, 0.4, -5 in descending order.\nAnswer: 0.4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/10 and -13\/508.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2031?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 212. Let n = k - 134. Calculate the least common multiple of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 5*x**2 - 2*x + 3. Let d be m(0). Find f such that -2*f**2 + 20*f**3 - 22*f**3 - 1 + d*f - 232*f**4 + 235*f**4 - f**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 89. Let v = j + -499\/6. What is the third smallest value in -2, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2958705 and -2200.\nAnswer: 2956505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 1966 + 70. Does 3 divide -3 + f\/12 + (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 442 - 263. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/6215, 1\/3, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.94 - -0.06. Let f = n + -1.99. Let u = -0.0149 + f. What is u rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 192. Let d be n(0). Suppose -417 - d = 7*r. Let s = 181 + r. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:29 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693\/264*2*-1*(-8)\/10?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**3 + 32. Let v(q) = -q**2 - q - 1. Let s(p) = -p**3 + 4*p**2 + 4*p + 1. Let a(x) = -s(x) - 4*v(x). Give -32*a(f) + 3*k(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/7))**(-3))**(-3\/25) assuming u is positive.\nAnswer: u**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/13)*p)\/p**(-1\/9))**(-37) assuming p is positive.\nAnswer: p**(-9805\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 133223013 (base 4) to base 15\nAnswer: 28690","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -145 + 3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1825080*c**3*y**2 + 90*c**3*y - 4*c**3 + 61*c**2*y wrt y.\nAnswer: -3650160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/280)\/((-338)\/3380).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6354 + 6377. Solve 21 = -2*k + 3*a, -y + 7 = 2*k - 2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2.422822?\nAnswer: -1.211411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2012464 and 1095?\nAnswer: 30186960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 - 5 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtr when three letters picked without replacement from {d: 4, j: 2, t: 1, z: 4, r: 2, f: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, n: 5}. What is prob of sequence nnhn?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2754 in -0.06, -0.3, 0.2, 4\/25?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*b**3*l**3 + b**3*l**2 + 39*b**2*l - 2*b*l**4 - 2*l**2 wrt l?\nAnswer: 162*b**3 - 48*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34508 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l - 61*l + 112 = 0. What is the highest common factor of l and 630?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlm when three letters picked without replacement from ttmhl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d + 2*d - 2*d - 64*d**3.\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3\/2 - 39*g**2 + 797*g\/2 + 1560 = 0?\nAnswer: -3, 16, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -301 - -504. Let z = 204 - i. Which is greater: z or -3\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:37 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 o when four letters picked without replacement from vvvovo?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 3*i**5 + 214*i**3 - 214*i**3 + (-i**4 + 0*i**4 + 2*i**4)*(22 - 22 - 11*i).\nAnswer: -14*i**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -68 (b) 165 (c) 2 (d) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 2 = 8. Let j(x) = -4*x. Let w(r) = r**2 + r + 1. Calculate a*j(c) - 2*w(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (260\/(-104)*(-5)\/50)\/(1\/52)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/132 + (-294)\/539?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, 1, 18.\nAnswer: -7\/3, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8528 and 591097.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v**2 + 5381*v - 38315. Determine w(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = 15. Let h be l\/5*(1 + 0). Let s be ((1 - 0) + -1)*h. Solve s = -6*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 77, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**2\/5 - 1036*f\/5 - 15288\/5 = 0?\nAnswer: -14, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339373926?\nAnswer: 2, 3, 31, 739, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 24, -3, 5.\nAnswer: -5, -3, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304.23 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhgcfxhhhfccccxfch. What is prob of picking 1 h and 3 f?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 3*m + 3. Let o(q) = 5*q**2 - 4*q - 4. Let x(j) = 6*c(j) + 5*o(j). Let l be x(3). Is l + 27 - (-2 - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624219 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*j - 32. Suppose -4*x + 17 = -39. Let m be (-4)\/(5 + j) + x\/2. Solve -20 = 5*l + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(90*i - 36*i - 88*i).\nAnswer: -68*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 2 - (-44)\/(-33). Let x = 0.613 - 0.413. What is the third biggest value in 3.8, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 14*r - 1. Let m(n) = n**2 + n + 1. Let p(t) = -6*m(t) + w(t). Let f(a) = -9*a**3 - a**2 + 1. Let g be f(1). What is the units digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20954\/55 + -381. Suppose -6*z = -13*z + 7. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, -1\/6, -97?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -3*sqrt(88)*-1 + (sqrt(88) - (-4*(sqrt(88) - (sqrt(88) + sqrt(88)*-4 + sqrt(88))) + sqrt(88))))\/(-3*-5*5*sqrt(648)))**2.\nAnswer: 2816\/455625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477509 (base 10) to base 14.\nAnswer: -c603b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 1136*q - 1136*q - 1130*q + 3402*q. Let p be (1 - 0) + (3 - 2). Let f(v) = -4*v**2 + 3*v**2 - 7*v**p. Calculate w(f(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8492 is divided by 763.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216574276.\nAnswer: 2, 54143569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/24*(432\/(-9))\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Suppose 2*q + 36 = l*q. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and -100.5222.\nAnswer: -79.5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184927 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**2. Suppose -6*j + 77 = 17. Let l(n) be the second derivative of -1\/2*n**3 + 0*n**2 + j*n + 0. Give k(l(i)).\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + 34\/6. Suppose -j + m*j + 4*t + 8 = 0, 3*t = -4*j - 8. Let d = 0 - -0.1. What is the nearest to j in -0.2, d, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/3 + 518*o**2\/9 + 350*o\/9 - 58\/3 = 0.\nAnswer: -1, 1\/3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 944, 987, 1056, 1163, 1320?\n\"Answer: 2*k**3 + k**2 + 26*k + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-6\/17))*b**(2\/11)\/b*b*b*b**(8\/3)*b**(-4))**(22\/7) assuming b is positive.\nAnswer: b**(226\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/(-19*(-34)\/1615)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5328538 and 48276.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9500, 3 in increasing order.\nAnswer: 3, 4, 9500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17920 = -75*x + 5930. What is the highest common factor of x and 3392?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*k**2 - 8*a**2*k + 3*a**2 - 35*a*k**4 - 16*a*k + 11*a - 40878*k**3 + 99*k wrt k.\nAnswer: 8*a**2 - 420*a*k**2 - 245268*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/2 - 7*p**4\/2 + 246*p**3 - 2592*p**2 + 10800*p - 16200 = 0.\nAnswer: -30, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4, -2\/7, -114194\/5, -1, -31?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -667243292 plus 4?\nAnswer: -667243288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + 4 - -9) + 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 797677 by -19.\nAnswer: -41983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a + 4*y = -24, -2*a - 2*y + 8 = 0. Suppose 3*b = a*b. List the prime factors of 2 - (b - (11 + -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = -28. Suppose 2*f + 5*z + 0*z + 2 = 0, -y = -3*f + z. Suppose h = f*h - 81. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {a: 7, u: 9, t: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*a - 4734 - 86 = -77*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 5*a + 516. What are the prime factors of l(-19)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 253*x - 178*x + 2285 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 3:20 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 7, u: 1}. Give prob of picking 1 f, 1 n, and 1 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8547 and 261808855.\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 923092000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(15)\/(sqrt(5) - (sqrt(245) + sqrt(245)*1)))**2.\nAnswer: -8*sqrt(3)\/13 + 2707\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i. Suppose 0 = o - 4*g + 12, -3*o - 4*g + 12 = -5*o. Let t(k) = 2*k + k + o*k. Suppose -3*v = -1 - 2. Calculate v*j(f) + t(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1132\/(-76) + (-8)\/76. Let d(q) = -2*q - 29. Calculate the smallest common multiple of 57 and d(n).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -0.88437\nAnswer: -0.530622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 23*g**2 + 4*g**2 - 6*g**2 + 5*g**2. Let m(n) = -37*n. Let z(q) = -340*q. Let s(o) = -55*m(o) + 6*z(o). Give a(s(t)).\nAnswer: 650*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 + 3*h - 5. Let m be n(4). Let w be 7 - m - 2\/(-4). Solve -w*k**2 - 1\/2*k**4 - k**3 + 0*k + 0 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkookkkkokookokooo. What is prob of sequence ooko?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 7.4 (b) -430 (c) 1\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 203, 188, 179, 182, 203, 248?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (0 + (-2 + -6 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-15) - -6) + 7\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/6 - 7*v**3\/2 + v**2. Is t(10) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 7*g**3 + 7*g)*(4*g - 3*g + 0*g).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 12*r + 3*a - 10, 4*a - 35 = -3*r. Solve -4*g + u - 5*u + 4 = 0, g - r*u - 19 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 24. Let t be b(-14). Let j = -47 + t. Calculate the remainder when j is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - l + 0*l = 225, 5*t - 1120 = 4*l. Calculate the greatest common factor of 55 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (-206)\/(-4) + (25\/(-2) - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**2 - 55*x**2 + 19*x**2 + 19*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9 = 3*a, -3*k + 12 = -0*k + 3*a. What is the second biggest value in k, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32949 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 10 = 6*g. Suppose 6*r - 3 = 3. Let w be -3 + 2 + r + g. What is the greatest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5 - 4392*y**4 + 240980*y**3 - 3480120*y**2 + 11169584*y - 10276128 = 0. Calculate y.\nAnswer: -1151, 2, 18, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9641*g**2 + 4709*g**2 + 4707*g**2. Let p(d) = 3*d. Determine p(a(x)).\nAnswer: -675*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 418 = 3*v, v - 31 + 166 = 6*p. Do 0 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1798 and 4231376.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - k + 20 = -6*k, 0 = -4*v - 4*k. Suppose -5*q - 254 = v*y + 52, 0 = 2*q - 2*y + 114. Which is smaller: q or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a = -1. Let l(q) = 15*q**3 - q**2 + 2*q - 1. Let n be l(a). Suppose 2*c - n = 3*c + 5*w, 2*w + 40 = 3*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10215042 + 21?\nAnswer: -10215021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41333 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 + -17.77. Let u = -19 + 19.1. Is d >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -35. What is the second derivative of -2*v - 6*v + 2*v**2 + 4*v - 62*v**5 + 3*v + 34 + d*v wrt v?\nAnswer: -1240*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2. Let g(q) = -16*q. Suppose 13 - 3 = -5*t. Let w(a) = -2*a. Let l(j) = t*g(j) + 18*w(j). Give r(l(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 + -360. Let g be ((-12)\/p)\/(8\/(-20)). Suppose -l + i + 1 = 9, 32 = -4*l - i. What is the biggest value in l, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5130 and 0.57014017?\nAnswer: 5130.57014017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2211086975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3834*j*m*v - 305639*j - 8936*m*v - 339*m with respect to v.\nAnswer: -3834*j*m - 8936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2 - 2*z + 317*z**2 - 712*z**2 + 362*z**2. Let w(f) = -891*f**2 - 55*f - 55. Give -55*u(v) + 2*w(v).\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 0.08, -215?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.23713um to millimeters.\nAnswer: 0.06123713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 6. Let g be w(-6). Suppose g*i + 4 = i. Suppose 17*q - 5 = 182. Solve -i*l + 1 = -q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfjb when four letters picked without replacement from ooljoofoooooooobb?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7. Suppose a = -2*y + 3 + 1. Solve -y*c - 2 - 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*(-627)\/38. Let t = g - -12. Is ((-69)\/t)\/((-21)\/77) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 44 = -144. Solve -15*v + 19 = -3*n - 19*v, n - x*v + 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1380358 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -1.5. What is the closest to 0 in 1, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + 4 + -3 + sqrt(32))**2*-1 - (sqrt(1440)\/sqrt(10))\/(-6*sqrt(18)).\nAnswer: -50 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z. Let b(l) = -6*l + l + l + 4*l - 2*l. Let o(u) = 6*b(u) - m(u). Let h(c) = -c**2 - 12. Determine o(h(p)).\nAnswer: p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22 and -65\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -1025*y + 1023*y for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 131528 divided by 2?\nAnswer: 65764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 21\/1)*3. Let j(u) = u**3 + 13*u**2 + 43*u + 7. Let y be j(-7). Suppose -4*b + 5*b - h = y. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*d + 3*k, 1 = k - 3. Suppose -o + d = 3*g - 7*g, 0 = -2*o + 2*g + 56. What are the prime factors of -1 - o\/(-6)*2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 8:55 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215*f**3 - 564*f**3 + 303*f**3 + 4*f**2 + 2 to the form o*f**3 + u*f + c + n*f**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + o - 281976, 318*o + 225600 = 4*v + 314*o. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 33 = -2*f. What is the hundreds digit of ((-450)\/f)\/(1\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33889\/6 + -5648. What is the fourth smallest value in 5, 2, -0.5, -0.4, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -28. Let n be (-8)\/3 - -2*k\/(-12). Which is the second smallest value? (a) 0 (b) 4 (c) n (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567894951 divided by -63099439.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 156 = g - 0*g - 227 + 49, 5*g = 10*j - 850 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*j - 3 + 2*j + 0*j + 0*j + (1 - 6 + 4)*(0*j - 4*j + 3*j) - j + 0*j + 2*j)*(-5573*j**4 - 2727*j**4 + 2774*j**4) + (0 + 0 - j)*(j**4 + j**2 - j**2).\nAnswer: -38683*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219 less than 2.7323083?\nAnswer: -3216.2676917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -2\/7, -0.5, 2 in increasing order.\nAnswer: -0.5, -2\/7, 1\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/18 and (14\/49)\/(((-12)\/(-889))\/1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 + 278 + 339 - 617 - 476*z + 3448*z + 34*z**4 wrt z.\nAnswer: 408*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12272842?\nAnswer: 2, 751, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*p + 75, -2*p + 0*p - 2*i + 66 = 0. What is the remainder when 56 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16246, -33417, -52436, -74227, -99714, -129821, -165472?\n\"Answer: -154*j**3 - 16093*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:58 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-441)\/(-87) - -18) + 528\/87.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 393545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 + 12)\/(-1 + 22). What is the closest to 2\/5 in o, -1, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1584) + 1)*4 + (sqrt(1584) - (sqrt(1584) + 2*sqrt(1584)))*-2))**2.\nAnswer: 19200*sqrt(11) + 2534800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g + 2*g)*(-589*g**2 - 1207 - g + 2416 - 1210).\nAnswer: 1178*g**4 + 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88383*r - 88280*r + 176882*r.\nAnswer: 219*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/27)\/(1\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:53 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z - 26. Give x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -2\/15 (c) -1 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - (2 + 0 + -1). Suppose 213 = 3*j + 24. Calculate the highest common divisor of j and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13539400.\nAnswer: 2, 5, 7, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 147267691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 5*t**2 + 5*t + 2. Let s be -2 - (-21)\/(3 - 0). Suppose 4*o - x + 12 = -s, -5*o - 5*x - 15 = 0. Calculate p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 - 2*q + 4. Let c be t(6). Suppose 0 = 15*p + p - c. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((((-2*sqrt(588) - sqrt(588)) + sqrt(588) + sqrt(588) - sqrt(588))*-4)\/(sqrt(432)*2))\/(1*-3*(sqrt(7) + (2*sqrt(1008) - sqrt(1008)))))**2.\nAnswer: -112\/13689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -5, -3233 in descending order.\nAnswer: 2, 1, -5, -3233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*v - 597 - 1303. What is the remainder when 246 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4ba244 - 518?\nAnswer: 4b9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266 + -261. Suppose -54*f + 52*f - 1290 = -2*j, -t*f + 639 = j. Is j a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9314 + 3*b**2 + 667*b**3 - 318*b + 9312 - 3*b**2 wrt b?\nAnswer: 4002*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (11 - (3 - 15)) + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.763573ms to days.\nAnswer: 0.0000017333746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*-6*2*sqrt(5)*2 - -3*(1*sqrt(80) + -1)).\nAnswer: 1 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238\/19 - 2067\/209. Let k = -120842\/15993 + 2\/5331. What is the common denominator of a and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b + 4. Let n = 48 + -56. Let t be l(n). Calculate the highest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - z - 9*z - 37*z + 56*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -10017, 1, 92 in decreasing order.\nAnswer: 92, 4, 1, -4, -10017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95014390089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/1)\/(-5*(-2)\/(-190)). Suppose 0 = -2*h + w + 75, 2*h + w - 191 = -3*h. Calculate the highest common factor of d and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(378) - -2*sqrt(378)))\/(sqrt(144)\/sqrt(4)))\/(sqrt(18)\/(sqrt(3)*4) - (sqrt(96) - sqrt(96)*1)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypyy when four letters picked without replacement from {p: 6, y: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -69622100 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a. Let o(h) = -213*h + 1. Calculate -o(t) + 6*q(t).\nAnswer: 273*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2 and 59\/69135?\nAnswer: 138270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1817000 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774392?\nAnswer: 2, 3, 17, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068001 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 20144994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let k(m) = 2*m + 1. Let t be k(p). Suppose -2*r + 16 = -0*r + 4*c, -4*r = -2*c - 12. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-96) - 524\/736\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 34*m + 1. What is l(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.212 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -6. Let q(y) = -2*y + 10. Let a be q(6). Let l be (2 + a)\/((-2)\/(-2)). Solve -2*t + p*t - 15 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6714368707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 480 - 479.6. What is the third smallest value in 4, d, 1\/11, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 22211?\nAnswer: 22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -211 (b) 5 (c) 3723 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y + 77*y = -204*y + 16717 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -419, -495, -703, -1109, -1779?\n\"Answer: -11*i**3 + i - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 + 200?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121 - 204625*s**4 - 4*s + 204459*s**4 + s**2 - 2*s**2 wrt s.\nAnswer: -1992*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24433?\nAnswer: 53, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o**2 + 2*o**2 + (-2*o - 6*o + 6*o)*(3 + o - 3).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/6)\/b**(-2)*(b\/b**(-2))**(-3\/8))\/((b\/(b*b**(-1\/2)))\/b**(-7\/4))**44 assuming b is positive.\nAnswer: b**(-2335\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(sqrt(288) + 2 - sqrt(288) - sqrt(288))*-3 + 5 + (-5 + sqrt(288) + -1 - (1*sqrt(288) - sqrt(288))*-6))**2*1.\nAnswer: -59640*sqrt(2) + 357841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -53, 72\/3173?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 84 = -5*l, -1315*l + 1316*l = -w - 17 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/850*(2\/75)\/((1281\/210)\/61)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, -18054 in descending order.\nAnswer: -5, -30, -18054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5 + 46*n**4 + 655*n**3 + 3114*n**2 + 1368*n - 5184 = 0.\nAnswer: -24, -12, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/((m\/m**(-7\/2)*m)\/m))\/(m**2*m)**45 assuming m is positive.\nAnswer: m**(-271\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-693)\/726*1*4\/7?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2339818 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 27.4. What is the nearest to -1 in -2\/13, -4, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -19*s - 3. Let f be y(-2). Let k = f - -18. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-5657)\/130111)?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - -2*sqrt(84) - sqrt(84)))*6)\/sqrt(12) - (-1 + sqrt(28) + 5).\nAnswer: -8*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u + 1. Let a(v) = v + 2. Let w = 92 + -94. What is w*o(d) - a(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwxxw. What is prob of picking 2 w?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + b = -6, -f + 14 = 3*f - b. Suppose -f*x = -k + 6*k - 21, -4*k = 2*x - 12. Suppose w = x*w - 87. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f + 43 = 5*k - 65, 0 = -3*f + 3*f - 6*f - 12*f + 18 + 18 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + u + 19, -2*v + u - 2 = -0*u. Let l = v - -4. Let n be 2*(l + 3 - 0). Solve -3*w - w - n = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8464621 - 5?\nAnswer: -8464626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 10*r**2 - 6*r + 62. Let o be n(9). Let h = o + 89. Solve 5*q - h = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*t**2 + 147*t**2 - 430*t**2 - 475*t**2.\nAnswer: -581*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350360 (base 8) to base 5.\nAnswer: -12302044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/940749, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 300110021 (base 4) to base 8\nAnswer: 602411","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-6912)\/696 - 7848\/261.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386 - 131. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 39 + 4*h + 54)*(-222 - 35*h + 222) to the form q + b*h + g*h**2 and give g.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 9*h**2 - 3*h - 9. Let n(g) = -g - 1. Let p be n(6). Let f be d(p). What is the common denominator of (-614)\/f + (-4)\/(-22) and -23\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beu when three letters picked without replacement from dbdbquqqtqdqtqedd.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 + 51*x**3 - 1 - 752*x - x**2 + 758*x to a*x + q*x**2 + w + z*x**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/4))**7)**(-36)\/(((p**4\/p)\/p)\/((p*p\/p**(-1\/4)*p)\/p))**(-37) assuming p is positive.\nAnswer: p**(-1297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txttxtaaxazazxttttx. Give prob of sequence at.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*a + 12. Let y(v) be the second derivative of v**4\/6 - 2*v**3\/3 - 2*v. Let c be y(3). What is the greatest common factor of c and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h**2 - 7*h + 10. Let s be x(2). Solve -p = -5*l - 3 - 2, s = -2*l - 3*p - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j + 40. Let y be t(0). Calculate the remainder when (225\/18 + 1)\/(6\/y) is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/40)\/((-3)\/36*-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 646\/3 - 216. Let q = 20 + -21. Which is the biggest value? (a) q (b) d (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**2*g**3 + 383*d**2*g**2 + g**4 wrt g?\nAnswer: 66*d**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 - (-4 + 1 + 7). Let r be 19\/6 + 3\/k. Suppose -2*u - 2*h = -4, 4*u + 2*h - 6 = -r*h. Solve z = -z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = -d + 6*d + n, -167 = -3*d + 5*n. Let y = d - 49. Sort -3, y, -2.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x - 52. Let m be a(-6). Solve 5*h - 21 = 2*u, 2*h + h - 3 = -m*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*p - 25 = 0, 0 = 5*u - 2*p + 5*p - 97. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -227, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 11 - 23. Let o(x) be the second derivative of 0 + x + 1\/2*x**2 + 7\/6*x**b. Determine o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from aodff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69365101 and -1896.\nAnswer: -69366997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 times -116.6562?\nAnswer: -11782.2762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 9?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 7*f. Let b(q) = -q**2 - 7*q + 2. Let r be b(-6). Let n be k(r). Let a = 9 - n. Solve -2*p + 2*g = 0, 5*p + 0*p = 4*g - a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 20 = c, -2*j = -6*j + 3*c - 12. Suppose 2*d + 356 = 3*p, p - 47 = -d - 215. Let a = j - d. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*b + 583 = 48*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-1*4 + 1*sqrt(15)*1)\/(2*(sqrt(245) + 2*sqrt(245) + sqrt(245))).\nAnswer: -3*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 - 218*k - 391. Let r be t(-51). What is the greatest common factor of 152 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15400 and 400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6 = -3*a, 200 - 250 = -5*a - 5*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*j + 224*j + 110*j as s*j + w and give s.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 21*m**2 + 30*m**2 - 50*m**2. Let j(g) be the first derivative of 14*g**3\/3 - 500. Determine j(l(t)).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 57 + -25 + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 41. Let z be u(-15). Suppose 2*s - v - 22 = 0, -z*s + 4*v - 6*v = -28. Solve 0 = -2*n + 5*n + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i - 2 + 15\/2*i**2 + 1\/3*i**3. Let f be h(-15). Sort f, -1, 1 in descending order.\nAnswer: f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3190 and 1650?\nAnswer: 47850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1412, 4, 13, 3 in ascending order.\nAnswer: -1412, -0.1, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*s + 2*g + 209428 - 209424 = 0, 3*s = -4*g - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**49\/(n\/(((n\/(n\/n**(-1)))\/n)\/n))**(3\/5) assuming n is positive.\nAnswer: n**(-269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13308 bigger than 904955\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -71, 4\/3, -1387196?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(5 + sqrt(171)) - (sqrt(76) + sqrt(76) + 1)*-6)*-5)**2.\nAnswer: 60450*sqrt(19) + 746500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3417 + 6432. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/9)*c*c)\/c)\/c)**(-7)\/(c*((c*c**(1\/2)*c)\/c)\/c)**(-23)*(c**(1\/2)\/((c*c**(2\/5)*c*c)\/c*c*c))**(-30) assuming c is positive.\nAnswer: c**(2699\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6*l - 2*l = 0, 3*l = -4*q. Suppose 2*i - 4*t - 24 = q, -3*t = 3*i - 2*t - 1. Let u be 2 + (i - (-1 - -5)). Let m(c) = -c - 1. Calculate m(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 4*j)*(4 - j - 4) + 2*j**2 - 1 + 1 - 4*j**2 + 10*j**2 - 5*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 850473 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3890 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 0)*(-107 - 97 + 75)*(-4*a**3 + 4*a**3 - 4*a**3) to x*a**2 + m*a**3 + o*a + w and give m.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 4 + (-10)\/(-5). Suppose -v - 35 = c*v. Let j(n) = n**2 + 7*n - 1. Calculate j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4383 is divided by 2463.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/18 + (-14)\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b + 15. Let g be 22\/b*(5 - 2). Let d = g - -34. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (0 - (-6 + 14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012637 to 6 dps.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54 - 23 - 49)*(16*k - 5*k - 1159 - 12*k) to x + q*k and give x.\nAnswer: 20862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 15*i - 17*i + 11, i = 4*d - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32 - -8)\/3)\/1. Let j be (-15 - -20) + (-1 - 7) - b. Solve 2*x + 5 = j*w, -3*w = -x - 2*x - 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + v**2 + (-6 + 2 + 2)*(0 + 2*v**2 + 0) - v**2 - v**2 - 3*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c + 2. Let d(i) = -3*i**2 + 2*i - 4. What is -2*d(q) - 5*v(q)?\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 485, 483, 481, 479, 477?\n\"Answer: -2*m + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/9*105\/140)\/(12\/99).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557096?\nAnswer: 2, 83, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 40360796 = 329948796. Round j to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*k = -14, 0 = 11*l - 444*k + 442*k + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 3*n)*((2 + 15 - 3)*(2 - 4 + 1) + 8 + 1 + 0).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9653600 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 11*l**2 + 517*l - 3853. Calculate f(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -19.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**5 - 654*b**4 + 9*b**3 + 1180797*b?\nAnswer: -180*b**3 - 7848*b**2 + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -95) + -28 + (-5 - -4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 478394971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 + 8322 = 8*h. What are the prime factors of h?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3442442, 6884937, 10327430, 13769921, 17212410?\n\"Answer: -n**2 + 3442498*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from dddxddddxdd.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/18 + 5\/3. Is 1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/3)\/k**(1\/8)*(k*k*k**22\/k*k)\/((k*k*k*k**(10\/7))\/k*k) assuming k is positive.\nAnswer: k**(3491\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from kjjrrkkrkrkkrjmk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -6 (c) -11 (d) -2 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26487 is divided by 23496?\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 26. Let p be z(14). Let o = -41 - p. Suppose -o*q - 2*q = -40. What is the smallest common multiple of 94 and q?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14050, -28338, -42600, -56824, -70998?\n\"Answer: 2*o**3 + o**2 - 14305*o + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 3051264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3081443061?\nAnswer: 3, 18089, 56783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 987621\/307 + -3217. Let o = 917\/614 + v. What is y in -1\/2*y**2 + o - y = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*c + 2, -q = -2*c - 16. Let j(o) = -o**3 + 6*o**2 + o - 5. What is the units digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3126 + 3133. Which is greater: q or 68\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghggghgg. Give prob of sequence hgg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 4*c - 4*g, -674*c + 677*c - 2*g = 40 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/5, 2\/7, 13\/7, 8.\nAnswer: -4\/5, 2\/7, 13\/7, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7257*h*n**2 + 160*h*n + 7*h + 26*n**3 - 10*n**2 + 9*n wrt n?\nAnswer: 14514*h + 156*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -33*p**4\/4 + p**3\/3 - 180*p**2 - p - 58. Find the first derivative of b(q) wrt q.\nAnswer: -198*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -14ab?\nAnswer: -14b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111011110100001 (base 2) to base 12.\nAnswer: 16a395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o. Let c(q) be the third derivative of -q**5\/60 + 5*q**2 - 4*q. Calculate c(u(d)).\nAnswer: -d**4 - 6*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10 + 6 - 2*m**2 + 8 - 24 + 13 - 10*m. Determine a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -31 + 33 + 4*o**2 - 6*o**2. Let b(t) be the second derivative of t**3\/6 + 2*t. Calculate u(b(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(30\/13))\/b**(2\/3))\/(b**(-2\/57)\/((b\/(b**2\/b))\/b)) assuming b is positive.\nAnswer: b**(661\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 674\nAnswer: 674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50119 and -1.86285.\nAnswer: -50120.86285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13403986?\nAnswer: 2, 23, 211, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.3 - -57.3. Let q = 12.03 + -0.03. Let i = q + -11.5. What is the nearest to l in -2\/19, i, -11\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 41088 + 10038 = 0. Is 68 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -9. Suppose 4*i - t*w - 93 = -4*w, -17 = -i - w. Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2985540\/457 or -6533?\nAnswer: -6533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1689133 and 495427.\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 284, 567, 850, 1133?\n\"Answer: 283*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 114*d**2 + 44)*(1 - 1 - 3)*(-d + 1 - 1).\nAnswer: -342*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1 + 3*u + 1 - 4 - 4*u. Let h = 145 - 112. Calculate the remainder when h is divided by y(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4073 + -4073.2. Which is greater: -0.1317 or k?\nAnswer: -0.1317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*h + 6*h - 2, -45 = 3*s - 3*h for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 65 = 5*u, -5*u = 3*c - u - 43. Let q = c - 5. Suppose q*d = -d + 30. What is the smallest common multiple of 22 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 625338 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47930, -47647, -47352, -47039, -46702, -46335, -45932, -45487?\nAnswer: -44994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:52 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 6*s + 11 - 17*s + 3 + 5*s as n*s + z and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 + 0*n**6 + 0*n - 1\/15*n**5 + 0*n**3 - 1\/30*n**7 - 27*n**2 + 0*n**4. What is the third derivative of c(r) wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 5, -4, 2292 in descending order.\nAnswer: 2292, 89, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 14384860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 7:19 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16246752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, b: 3, y: 10, d: 3, o: 1}. What is prob of sequence ydny?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 12*s**3 - 2*s**3 - 2*s**3 + 213*s + s**3 - 237*s + (-s**2 - s**2 + 0*s**2)*(-s + 0*s + 0*s) to g*s**3 + j + i*s + y*s**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18033290, -18033296, -18033314, -18033350, -18033410, -18033500, -18033626?\n\"Answer: -y**3 + y - 18033290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**3 - 6*j**2 - 3*j - 2. Let w(c) = 3*c**3 + 3*c**2 + c + 1. Let m(x) = -2*u(x) - 5*w(x). What is the remainder when m(-4) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 508*r + 488*r to j*r + g and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f**2 - 4*f + 1. Let x be v(3). Let k(b) = 9*b + 1. Let j(q) = 18*q + 3. Let m(s) = x*j(s) + 5*k(s). Give m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 + 3*n - 3. Let u be y(-4). Let g be 2 - u\/2*0. Suppose -6*t + g*t = -20. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348372.309907 + 348513.31. Let u = l + -141. What is u rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217*59\/((-172634)\/1216) + (-1 - (-18)\/22)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 + 7*x - 8. Let d be y(4). Let w be d + 6\/9*-3. What is the third derivative of -5*a**4 + 9*a**2 + 3*a**w + 5*a**4 + 8*a**6 wrt a?\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 276 + -267. Calculate the least common multiple of m and 23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157943 rounded to three dps?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33158 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1244*o**3 - 4*o**2 + 3*o + 2. Let h be c(4). Suppose -5*j + 2*l - 190008 = 0, 3*j + 34450 = 4*l - h. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 45*k**2 - 10515*k + 10515*k.\nAnswer: 45*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18639 - -37281\/2. Let b(q) be the second derivative of 14*q + 0*q**2 - y*q**5 + 0*q**3 + 7\/2*q**4 + 0. What is the third derivative of b(v) wrt v?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5807417 at most -0.044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 918.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 5*u**2 + 6*u - 4. Let i be t(4). Suppose -2*l - i*p = p - 604, -4*l + 2*p = -1232. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 69. Suppose -2*c + 1 = -z. Calculate the remainder when (-4 + c - -31) + (-1 - 0) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*d - 4 = 0, -5*d = -6*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.0152 + -7.0152. Put w, 200\/11, 6\/7 in increasing order.\nAnswer: w, 6\/7, 200\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37900000 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*(100\/(-10))\/(-120).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.6. Let i be (16\/272)\/(171\/969). What is the closest to -0.1 in n, 1\/4, i, -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than 4874?\nAnswer: 4889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/15)\/(2\/12). Factor -2*b + 3*b - q*b - b + 2*b**3.\nAnswer: 2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*y - 21 + 14.\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 58*x + 1189. Let k be o(-74). Let f(i) be the second derivative of 0*i**2 - k*i + 2\/9*i**4 + 0 + 2\/9*i**3 + 1\/15*i**5. Factor f(h).\nAnswer: 4*h*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*n + 462*n - 299*n + 465*n**2.\nAnswer: 465*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + -0.02. Let y be 1\/(-13)*(-1 - -2). Let o = -1.37 - -6.37. Which is the nearest to t? (a) -1 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 485, 10, 1573 in descending order.\nAnswer: 1573, 485, 10, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 7*m + 1. Suppose 5*g - 3*a + 41 = 0, -4*g + 8*a - 36 = 4*a. Suppose -2*s = z + 2*z - 33, -3*z + 5*s + 54 = 0. Let y = z + g. Calculate i(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/(20\/(-40)). Let m = s - 5. Let n(u) = u**2 + 90. What is the units digit of n(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635714 is divided by 2635082?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221, 229, 239, 251?\n\"Answer: n**2 + 5*n + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 47*h**4 + 3*h**2 - 5*h + 2*h**3 - 3*h**2 + 48*h**4 in the form j + n*h**4 + p*h**3 + m*h**2 + a*h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 53*t**2. Let u(n) = -3*n + 32*n**2 - 8*n**2 + 3*n - 21*n**2. What is u(k(g))?\nAnswer: 8427*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 199, 919 in descending order.\nAnswer: 919, 199, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340\/(-55) + 6 + (-11)\/((-242)\/13732) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556077.\nAnswer: 3, 185359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6426298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {q: 1, d: 2, p: 2, e: 1, s: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(21)\/sqrt(7) - sqrt(3))**2 - (6*(sqrt(3)*-2 + sqrt(3)) + (sqrt(36)\/sqrt(2))\/sqrt(6))**2.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(1330\/(-1845)) + (-6)\/6 + -14. Determine u, given that j*u + 3\/7*u**2 + 5808\/7 = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000072973 to seven dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -27. Find the third derivative of 0*j**3 + 0*j**3 + 5*j**2 - 2*j**s + 21*j**4 wrt j.\nAnswer: 504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 9, h: 1, m: 3, z: 3}. What is prob of picking 2 r and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10)\/((-4)\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 13 = -3*m. Suppose 4*f = 44 - m. Solve -f = -3*g, -z - 2 = -3*z - 2*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y)*(-1 - 2*y + 1) + 1290 + 1167*y**2 + 1281 - 3861 + 1290.\nAnswer: 1165*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiovovvgjiio. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6391 = -7*w - 133. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rag when three letters picked without replacement from gpappapfpqrfgpp?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 2*v**3 + 0*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185684.5 millilitres to litres.\nAnswer: 185.6845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 308842*s. Let q(z) = 3*z**2. Calculate r(q(n)).\nAnswer: 926526*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 13 - 32 = 198 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*g + 87 + 107*g + 52 - 324*g - 405*g with respect to g.\nAnswer: -733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38916 is divided by 319.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 21*o**2 + 41*o - 29. Suppose 3*i - 38 - 49 = 0. Calculate the remainder when i is divided by q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1, 2908.\nAnswer: -4, 1, 5, 2908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(3\/3 + -1). What is the fourth smallest value in 1, -2\/9, -0.2, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 0, -5*o + 14 = -5*p - 26. Let c = 7 + p. What is the remainder when 29 is divided by ((-8)\/12)\/(c\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 4. What is the closest to r in -5, 3, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 7*r**4 - 6*r**4 + 3*r**4 - r**4 - 13*r - 9*r**2 - 2*r**3 to b*r**4 + f*r + n + y*r**2 + u*r**3 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a + 40 = -137*a - 4*w, 24 = 4*a - w for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0*n = 2*n - 5, -w - n = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*i = -0*i + 24, -2*m - 3*i = -10. Suppose -y + 0*y + m = 0. Let d(c) = -c + 14. What is the lowest common multiple of 1 and d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301.186 rounded to 0 decimal places?\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:54 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Suppose -3*w - x + 7 = 0, 0 = -0*w - 5*w + x + 1. Calculate the smallest common multiple of w\/2*2 + 0 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379 + 377. Is -15 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 23, 35, 49, 65?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -19*j + j**3 + 12*j + 9*j + 63. What is the units digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -2*i**5\/15 + 4*i**4\/3 + 16*i**3\/3 - 32*i**2\/3 - 160*i\/3 + 494. Find x such that z(x) = 0.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 2, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*t**2 + 153*t**2 - 95*t**2.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l. Suppose c + 0*c + 3*n - 20 = l, -2*c + 25 = 3*n. Suppose 3*o = c*k - 422, 3*o = k - 0*o - 82. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -23*m - 1 - 33*m - 34*m - 28*m + 7*m**2 + 121*m. Determine g(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:53 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 4, -5, -1.531?\nAnswer: -1.531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(3\/54). Suppose 2*l = -z + 14. Suppose 7 = -l*p + 15. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 841, 926, 1013, 1102, 1193, 1286?\n\"Answer: q**2 + 82*q + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 81. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76076 (base 14) to base 4\nAnswer: -1011230220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1264*w + 392 = -1208*w. Solve -w*m - 1261 + 1212 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 + 5. Let i = 0.2 + g. Round i to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 54513.752?\nAnswer: 54513.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {v: 12, i: 1, k: 5}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -38\/3 (b) -13 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyxgky. Give prob of picking 2 g, 1 x, and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5027 - 8940 - 8088 - 9071 - 5112 - 2137)*(-4 - 2*z + 4) as u*z + y and give u.\nAnswer: 56642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-3*o**2 + 0*o**2 + 4*o**2) + (-2 + 0 + 0)*(-9*o**2 - 6*o**2 - 13*o**2).\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 3*r + 49. Let f be l(-10). Let o(g) = -g**3 - 22*g**2 - 21*g + 3. Let m be o(f). Solve 3*w - m*v = 12, w + 13 = 4*w - 2*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzaa. Give prob of sequence waa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4741*q**2 + 4*q - 18 - 17 + 35 - 4826*q**2 + 9256*q**2.\nAnswer: -311*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15 + 36 + (-1 - 3). Let v be c - ((-81)\/(-18))\/(3\/2). Solve 3*j = a - 4, -j = -5*a - 8 - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 129617 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 3*j - 3*j)*(25 + 44 - 82).\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025820 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w + 626 = 5*w - 3*u, -u + 18 = -2*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -693576 and 1336?\nAnswer: 694912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42.6308 - -23467\nAnswer: 23509.6308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlziiizzligi. Give prob of sequence zzl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4660*i**3 - 2*i**4 - i**4 + 1459 + i**4 + 6134*i**3 wrt i.\nAnswer: -8*i**3 + 4422*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*m + 77 = 1 - 140 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/4)\/((-441)\/(-219) + -2). Put -6, u, 5 in decreasing order.\nAnswer: 5, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 10*i**3\/3 - 862*i**2\/3 - 63676*i\/3 - 50384\/3 = 0.\nAnswer: -47, -4\/5, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let s(k) = 4*k + 3. Let l(f) = s(f) + 2*t(f). Let u be (-3)\/3*1*5. Determine l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33193634.2 rounded to the nearest one thousand?\nAnswer: 33194000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1490*c + 740*c + 748*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/15)\/((-4)\/10). Suppose 0 = 2*c - 4*c - 4*f + 2, -39 = -3*c + 3*f. Let d = 10 - 10. Solve d = -5*m + c - w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3836577319 to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -261*s + 2. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 11*k. Let u(w) = 143 - 294 + 151 - w. Calculate u(d(h)).\nAnswer: -h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51216153 to the power of 1\/2, to the nearest integer?\nAnswer: 7157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10249?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36479.31 millennia to centuries.\nAnswer: 364793.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 30 = 2*c. Let z be (-4)\/c*45\/10. Solve z = 4*k - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1472 - -2755. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5)*(-2*t - t - 2*t) - 12*t - 7 + 7 + (0 + 0 - 1)*(6 - 5 - 10)*(t + 1 - 1) to g*t + c and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 469*n**2 - 2*n + 739 - 151*n**2 - 158*n**2 - 159*n**2. What are the prime factors of b(0)?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -16432\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*n + 801 = -2*n, -3*n = -5*p - 3988. Let o = 1359 + p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5647 and 2.\nAnswer: 5649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 228176059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 13*z + 5. Give k(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 + 2*m**2 - 3*m**2 - 4*m**2 - 1 + m. Let u(z) = -2*z**2 - 11*z - 15. Let l(n) = o(n) - u(n). Let q = 550 + -560. Calculate l(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c**2 - 3*c**2 - 2*c + 6 - c**3 + 5*c**2 + 3*c**2. Suppose 3*g + 6 = n, -2*n = -5*g - 0*g - 10. Let f be n\/(-5) + 5 + 0. What is q(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*g**4 + 18*g**4 - 37*g**4 + (2*g - g + 0*g)*(-g**3 + 2*g**3 - 2*g**3) as f*g**2 + v*g**3 + d + w*g**4 + i*g and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*x - c + 58, 4*c = -5*x + 28. Solve 0 = -4*i + x, -2*f = 11*i + 9 - 40 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/6 + 1170125*x\/2 - 1755188\/3 = 0. Calculate x.\nAnswer: -3510376, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 5924964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*x - 17 = -18, -z + 3*x - 3 = 0. Suppose z*o = 2*l + 2699, 3*o + 6*l = l + 2713. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23337, 46666, 69991, 93312, 116629, 139942?\n\"Answer: -2*l**2 + 23335*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 + 18. Let y be x\/20 + (-146)\/(-10). Suppose k - 810 = -5*k. What is the greatest common divisor of y and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 14745*q**2 + 14494335*q - 4749310435 = 0.\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 42 - 35 + 2744*k + 107.\nAnswer: 2744*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*v + 974 = -84058 + 1036. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 1131 - 1125. Let w(l) be the first derivative of 0*l**2 + 0*l + 0*l**4 + 0*l**5 - 1\/6*l**b - 4\/3*l**3 + 1. Find the third derivative of w(k) wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 150008462 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27865 (base 12) to base 4\nAnswer: 31120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 32*i - 11 - 16 - 28*i. Let q be t(13). Let k = q - 23. Solve -2*p - 2*p + v = 5, -k*v = -5*p - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 29\/13841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**8\/20160 + u**7\/630 - u**6\/180 - 13*u**5\/30 - 5*u**2. Let t(x) be the third derivative of m(x). What is t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 2*m - m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298992 a multiple of 654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66696 - 19075113\/286. Let k = v - -1\/22. What is the second biggest value in 0.27, k, 0.3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224400 (base 5) to base 13.\nAnswer: 38c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1388907, -2777828, -4166749, -5555670?\nAnswer: -6944591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.58 + -0.42. Let b = -4 - t. Let x = -17 + 24. Sort 1, -1\/5, x, b.\nAnswer: -1\/5, 1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14528 is divided by 14486.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434741148 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 24213?\nAnswer: -24130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 + 20 - 203*z + 3*z**2 + 194*z. Let r be t(-9). Let a = -4211\/16 + r. Calculate the common denominator of 37\/44 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*w = -5*w + 22, 4*z - 3*w = -4. What is the first derivative of 3*i**2 - 4 - 4*i**2 + 17*i**z - 1 wrt i?\nAnswer: 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174870198 by -9.\nAnswer: -19430022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -302355211 (base 6) in base 3?\nAnswer: -100201022110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4708730*m**3*p - 5*m**2*p + 7*p - 37340 wrt m.\nAnswer: 28252380*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8146, -8152, -8158, -8164, -8170, -8176?\nAnswer: -8182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 - 4\/(-48)*-21. Let g = -136 + 136.1. Let a be (-2)\/10 + 0\/2. What is the nearest to m in a, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 16, o: 4}. Give prob of picking 3 y.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(110) + 4*2*sqrt(110))*-1)\/((-2*(sqrt(80) + (sqrt(80)*-1 - sqrt(80) - sqrt(80))) + sqrt(80))\/sqrt(8)).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - (0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvepp. What is prob of picking 1 p and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:09 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Suppose -3*a = 2*c - 17, 38 = 4*c + 2*a - 0*a. Suppose 3*r + r = 8. Solve -r*z + c = -j*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10857\/154*88*7\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122978346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 - 264 - 301 + 733 - 11*s**2 as l*s + i + f*s**2 and give i.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 2*z**7\/21 - z**5\/2 + z**3\/3 + 36*z**2 + 136*z. Find the second derivative of i(h) wrt h.\nAnswer: 80*h**3 - 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7623 + -7565. What is the nearest to 1 in f, -1.4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**3 - 201. Let g(v) = -322*v. Give g(n(b)).\nAnswer: 1932*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 35. Suppose -15 = -4*w + 9. Suppose w*s = 2*s - 32. Is h >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198\/12*126\/(-1). What is the common denominator of (y\/56)\/(30\/(-8)) and 15\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**13\/l**1*(l*(l\/l**(2\/17))\/l)\/(l**(10\/3)*l*l) assuming l is positive.\nAnswer: l**(385\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 6*j - 2)*(-14 + 14 - 3*j**4).\nAnswer: -18*j**5 + 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a + 5*a)*(a + 5*a - 4*a) + 19*a**2 - 13*a**2 - 11*a**2 - 3*a**2 + 4*a**2 - 4*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 1 - 1. Let o(f) = -f + 3. Let k(n) = 2. Let i(p) = -3. Let r(g) = 3*i(g) + 5*k(g). Let s(v) = 2*o(v) - 6*r(v). Determine h(s(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1797753 - 3396093. Let a = w - 13301660. Round a to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 - 3 = 0. Let t be 6\/o + (-9)\/(-6). Suppose t*l - 6*l + 6 = 0. Sort l, 4, 1 in decreasing order.\nAnswer: 4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 25 - 15 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546a19 (base 14) in base 12?\nAnswer: b5b97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = 10. Suppose -54 = -h*y + 1. What is the remainder when 43 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 19 + 16 = 0. Suppose 3*z + 2*n = -18, -n + 14 = -3*z + a. Let b be ((-11)\/(-15))\/((-1)\/6). Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -547\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 696*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 8. Let k be t(0). Let l be k*2\/(-4)*-1. Is -4 + (4 - -315) + l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4 - 52)\/(-7))\/(1*2). Solve -j + 3 = -l*u, u + 0*u + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2764 - -2778. Solve -2*i = 4*r - 2, 30*i + z = 35*i + r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10634765 > -10634769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**5\/6 + 1858*o**4\/3 + 22229*o**3\/3 + 18514*o**2\/3 - 44459*o\/6 - 20372\/3 = 0.\nAnswer: -3704, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (2 - 10)\/(-1). Let a(o) = -6*o + 201. Let h be a(33). Suppose -h*w = -v*w + 10. Sort 2, w, -8, 0 in decreasing order.\nAnswer: w, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/234 + -5\/26. Let f be (0\/2)\/(3\/3). Suppose f = 3*a - 8*a. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 27 = 24. Suppose -2*p + 1 = -r, -r - l = -5*p + 3. Let i(f) = f + 1. What are the prime factors of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 e, and 1 r when four letters picked without replacement from yeyjyykr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t = -47*t + 78. Suppose 487*f = 537*f - 9250. What is the remainder when f is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(1\/4)*t*t)\/t))\/t*t\/(t*t**1)*((t*t*t**(-2\/19)*t)\/t)\/((t\/((t**(1\/10)*t)\/t*t)*t)\/t))\/(t**(1\/11)\/(t\/(t\/t**11)*t*t))**2 assuming t is positive.\nAnswer: t**(106853\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 95\/25)*-10. Suppose -1615 = -a*m + 49*m. Calculate the remainder when 420 is divided by m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5330680 to the nearest 10000.\nAnswer: 5330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 54. Let x be -7 + 7 - 125\/76. Let z = x + -2\/19. Is s less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.98 minus -2504?\nAnswer: 2503.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116862413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 - 1240*z**4 + 2495*z**3 - 1250*z**2.\nAnswer: -5*z**2*(z - 1)**2*(z + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t = 49*t - 376. What is the tens digit of 2*(-4)\/(-16)*t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608831679 is divided by 693?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -52.717 and 25422229981.\nAnswer: 25422229928.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -2*m**5\/15 + 7*m**3\/6 + 11*m**2. Let i(o) = 7*o**2 - 6. Give -7*i(k) - 6*v(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294879 and 1179516.\nAnswer: 1179516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*x = 4*s + 1285, -3*x - 1285 = 5*s. Let k = s - -366. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1127.2 - -1127. Put v, -0.1, -11, -3 in descending order.\nAnswer: -0.1, v, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k)\/k**(3\/5)*(k**(-1))**(-14)*((k\/(k*k**(2\/3)))**(5\/4))**(1\/3) assuming k is positive.\nAnswer: k**(1181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 - (24 + -36)) + -29.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Let a = 0 + q. Let w(f) = -f**3 + 6*f**2 - 3*f + 1. Is 3 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-2\/13)\/r))\/r*r**(-1))\/((r*r\/(r**(-2\/3)\/r*r))\/(r\/((r\/((r*r\/(r*r**(3\/5)))\/r))\/r))))\/((((r**(2\/7)\/r*r)\/r)\/r)**(-49))**33 assuming r is positive.\nAnswer: r**(-540952\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.068?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 12:31 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6 and 3\/77272733?\nAnswer: 463636398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.193651 years?\nAnswer: 0.000193651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2125 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -181 (b) 1\/2 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 25392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1879, -0.4, 1\/5, -1\/5 in ascending order.\nAnswer: -1879, -3, -0.4, -1\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 197*v - 600. Let b be n(3). What is the third biggest value in b, 1\/5, -5, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -2\/3*v**6 - 5*v**2 - 14\/3*v**5 - 125\/6*v**3 + 0 - 325\/24*v**4 + 3*v. Factor m(w).\nAnswer: -5*(w + 1)*(4*w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20459\/12 + 1698. What is the common denominator of y and -59\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*h = 3*u, -2*h = 2*u - 8. Solve u*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -65*u**3 + 3*u - 10. Let b be s(-3). Suppose 2*a + 0*a + b = 4*w, 3*w - 3*a - 1308 = 0. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -56. Let j be r\/(10\/(-25)) - 2. Suppose -v + t + 12 = 0, j*v + 0*t - 46 = 5*t. What is the remainder when 46 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-6*y**3 + 2*y**3 + 2*y**3) + (-y**2 - 2*y**2 + y**2)*(-116*y + 55*y - 80*y).\nAnswer: 284*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 5342 and 3.\nAnswer: 5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.519 - 3.5. Let b = x + -0.249. Let g = b + 0.13. What is the third biggest value in g, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-1)*(-24)\/14. Let l = a - 7. Calculate the highest common divisor of 45 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 9. Let i be f(-6). Let l = i + 30. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 - 624682*r\/13 + 1249372\/13.\nAnswer: -2*(r - 2)*(r + 312343)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-2))\/((-3)\/2*45\/135)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 462 - 345. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - m - 37, -5*g - 4*m = -2*m - 46. What is the greatest common factor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 + 5*n - 1. Let h be x(-7). Suppose q = -9 - h. Is ((-17)\/2)\/(1\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -238 + 2*m - m + 231 - 2*m. Let t = -5 + 1. Let w = t + 5. Let s(b) = -1. Determine w*g(u) - 4*s(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 0.029, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {x: 2, w: 2, l: 1, z: 3, h: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 - 4 - h)*(2*h**2 - 13*h**2 + 2*h**2).\nAnswer: 9*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684 divided by -6.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + -139. Let p = t - -99. Let s = p + 82.0000066. What is s rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -33351 (base 6) to base 4\nAnswer: -1021003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -17*l**7\/7 - 4*l**6\/15 - 111*l**3\/2 - 5*l**2\/2 + 2289*l. Find the second derivative of f(j) wrt j.\nAnswer: -2040*j**3 - 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 26. Suppose 3*b + 2 = 4*b - 2*o, -b + 2 = 5*o. Suppose -q - 10 = -x - 45, 4*q + b*x - 164 = 0. Calculate the highest common factor of m and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 21*s**2. Let r(k) = -2*k - 4. Let h(m) = 2*m + 5. Let i(n) = -4*h(n) - 5*r(n). Calculate i(b(p)).\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41211*c - 89*c**3 - 19*c**2 - 41211*c + 19*c**2.\nAnswer: -89*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -4)*(-12)\/(-16). Which is the smallest value? (a) i (b) -8 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b31 + 168?\nAnswer: -49b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35385 and 23310?\nAnswer: 7855470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c + 4. Calculate v(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -13*v**2\/2 + 3*v - 12. Find the first derivative of d(h) wrt h.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j + 44. Let u be n(5). Calculate the remainder when 226 is divided by 2264\/40 + u\/(-15).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 1 + (0 - -2). Let t be ((-56)\/18 - -3)*p. Let h = 23 - 26. Put h, t, 3 in ascending order.\nAnswer: h, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130742196*y**2 - 185902346*y?\nAnswer: 261484392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 5, 2\/21, 3, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -102598 - 855*m + 102598 as k + r*m and give r.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 793116, 1586237, 2379358, 3172479, 3965600, 4758721?\nAnswer: 5551842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(((-5)\/5)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -119*k**6\/8 - 8299*k**4\/24 + 3224*k**2. Find the second derivative of y(x) wrt x.\nAnswer: -10710*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3186, -2763, -2340, -1917, -1494?\n\"Answer: 423*m - 3609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1041 and 4479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1105)\/(-455) + (((-60)\/21)\/2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(d + 27 + 21 - 15).\nAnswer: -d - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 6*h**2 - 21*h**2 - 20*h**2.\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64832379, 129664754, 194497131, 259329510, 324161891, 388994274?\n\"Answer: s**2 + 64832372*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3)\/3*(-4)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 5446?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 12. Suppose 2*l = b*l - 55. Let k be ((-20)\/(-15))\/(24\/198). Calculate the greatest common factor of l and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 939, 1293, 1643, 1989?\n\"Answer: -2*k**2 + 360*k + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p**2 - 11*p - 19. Calculate the remainder when o(-2) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4870824 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (237\/27)\/((-2)\/(-48)). Let y = s - 6913\/33. Find the common denominator of -35\/2 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 3 - 78\/(-22). What is the closest to -4 in -1\/11, 5, k?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56447 and 52844.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 297\/3892 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3699 - -3701. Let f = 2 + 2. Suppose -t*v - 1258 = -4*l, -f*l - l + 1575 = -2*v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333.78571 rounded to the nearest ten?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2205 - -2205. Let o = -8 - -12. Solve 0 = -3*d + 4*h - 5*h + 7, -4*d + 2*h - o = m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33690727, -67381436, -101072145, -134762854?\nAnswer: -168453563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4\/2 - 325*t**3\/2 + 4935*t**2\/2 + 5265*t\/2 = 0.\nAnswer: -1, 0, 27, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 + 0 - 0) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 13*u**2 - 11*u - 2. Let o be x(7). Find the second derivative of -3*a**2 - 9*a - o + 656 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5063*x + 322 = 5017*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2\/13, 1, 9 in decreasing order.\nAnswer: 9, 8, 1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.69 * 19990.\nAnswer: -393603.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13349249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**7\/840 - g**4\/12 + 11*g. Let c(m) be the third derivative of p(m). Let s(w) = 2*w. What is s(c(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2800)\/88 + (-4)\/22. Let c = 61 + d. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42245 - 4132. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:36 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.585 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + 1 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*20\/(6500\/475).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6406\/85 + -378\/5. Let d = -10.8 + 12.8. What is the third smallest value in 4, d, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (2 - (0 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -9*f + 376. Let r = -25 - f. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.30095 * -5.424\nAnswer: -1.6323528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 3. Let z be (-30)\/12*14\/b. Suppose z*i - 120 = 2*i. Calculate the highest common factor of 192 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120011201 (base 3) in base 15?\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46091\/135 - -1698\/5. Let u = 7727 + -231779\/30. What is the common denominator of x and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 9\/(-12))*16. Suppose -13049 - 12033 = -5*y - j, -3*y + g*j + 15063 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1 + 2*q - 3 - 6*q + 0. Let o be w(-5). Let k = 11 + o. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2947 and 1799.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*g + 11, 2*b = 3*g - 21 + 18. Sort -0.5, -0.1, b, 91.\nAnswer: b, -0.5, -0.1, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44510?\nAnswer: 2, 5, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2. Let r(i) be the first derivative of -5\/3*i**3 + 107 + 1\/2*i**2 + 2*i - 1\/4*i**4. Determine 5*f(h) - r(h).\nAnswer: h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3.37.\nAnswer: 1.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (6 + 3)) + 15\/4. Put i, -1\/5, 1\/4, -3 in ascending order.\nAnswer: -3, i, -1\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*n - 53. Is -20 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*b**3*y - 6*b**3 + 240*b**2*y + 2*b - 2*y wrt b.\nAnswer: -222*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29492*o**2 + 59090*o**2 - 29596*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + 2 + sqrt(13))*-3)**2.\nAnswer: 1296*sqrt(13) + 17172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10056, 9719, 9380, 9039, 8696, 8351, 8004?\nAnswer: 7655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 17*z - 44*z - 16 = -24*z, 7*z - 3*z = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -511\/4 + 5669\/44. Calculate the common denominator of p and -99\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Suppose -4*s = 3*f - 22, 3*s - 18 = -3*f - 0*f. Suppose -5 = -r - 3*q, 0 = -r - 3*r - s*q + 12. What is the nearest to 0.1 in r, -0.02, y?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/50*(-20)\/18)\/((-1)\/(-9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-264)*15\/(-1))\/(205\/(-164))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4*z + 20, -5456*f - 10 = -5467*f - 2*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -125*x + 5\/2*x**4 - 28 - 64*x**3 - 327\/2*x**2 = 0. Calculate x.\nAnswer: -1, -2\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:34 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 3)*((-1 + 0 + 2)*(-1 - 3 + 2) + 3 - 3 + 1)*(13*q - 20*q + 54*q)*(2*q - 3*q + 2*q) as b*q**2 + u + k*q and give b.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {z: 2, s: 5, c: 1, x: 2, l: 5, j: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.18. Let g = 3.02 - d. Let r = 467 + -469. What is the nearest to 0 in -5, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1202865, 10, -5 in ascending order.\nAnswer: -5, -1, 0, 10, 1202865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k - 2. Let a(s) = 83*s**2 + 6*s - 2. Let j(y) = -a(y) + g(y). Let r(i) = 4*i. What is r(j(o))?\nAnswer: -332*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55106239080 + 4.13.\nAnswer: -55106239075.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 441\/12 + (-4)\/32*-2. Suppose 0 = -2*w - 5*f + n, -f - 50 = -4*w - 3*f. List 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 -26 - 105*s**2 - 6*s + 0 + 211*s**2 - 108*s**2.\nAnswer: -2*s**2 - 6*s - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + 26\/8. Find the second derivative of y**3 + 3*y**3 + y**3 - 3*y - 4*y**l wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 13 - -15) + -12 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 + 6*l + 10. Let g = 3 + -7. What are the prime factors of s(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7603839?\nAnswer: 3, 683, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 76*r = 74*r - 1769, -2*p + 3*r + 189 = 0. Solve p = 8*x + 29 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1\/6*-1). Suppose o + l = -o. Which is the closest to -1? (a) -0.4 (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28297793 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + 45 + 66*c + 44 + 41*c as v + k*c and give k.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 1, e: 7}. What is prob of picking 2 i?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 619829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, h: 1, z: 1, j: 2}. Give prob of picking 1 z, 1 u, 1 j, and 1 h.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.711 + -0.289. Let l = 19 - 19.1. Put -2, h, 0.14, l in descending order.\nAnswer: 0.14, l, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 80*b**2 - 23*b. Give c(-40).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1524 + -1048. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Suppose -4*h = o + 3 - 6, 4*o + 10 = -r*h. Let j(v) = v**2 + 5. Does 15 divide j(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259.2 - 259.199998457. What is s rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1507596\/319 - 4726. What is the common denominator of -79\/261 and k?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 20. Let f be b(-4). Is f <= 2\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**5 - 25*a - 8*a**5 + 8*a + 4*a**5 wrt a?\nAnswer: -280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.0813\nAnswer: -0.1626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (966\/207 - (-13)\/39)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 + 447085. Let a be h(0). Let p = -637085 + a. What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 5955527?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895020 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 12*y - 4 = -2*f, -10 = -2*y - 5*f. Let c be 43\/11 - (5 + (-56)\/11). Solve y = -12*z - 44 - c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 100*j - 103*j - 6, -14*j - 84 = 0. Put 1.1, 0.069, z, -1\/4 in decreasing order.\nAnswer: 1.1, 0.069, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.4, -571, -1\/11, -1.7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.183 - 22.517. Let m = n + 26. Round m to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 - 209556*z + 113685048 = 0. What is z?\nAnswer: -52926, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (224\/(-5))\/(-7)*(476\/8 - 2). Which is greater: 360 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2993 is divided by 249.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/4 - (-1)\/(-4). Let h = w + -7. What is the lowest common multiple of 8 - (-3)\/h*6 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63727 - 2?\nAnswer: 63725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:29 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0*-2910\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 10. Let k be b(-4). Solve -5*t + 2 = k*u, 4*u - 2*t = -6*t - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2092159 weeks to minutes.\nAnswer: 2108.896272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -988606, -988609, -988610, -988609, -988606?\n\"Answer: q**2 - 6*q - 988601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - -2) - (-8 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2. Let s(u) = -167*u**2 + 9*u - 3. Let q(b) = -334*b**2 + 15*b - 5. Let g(f) = -6*q(f) + 10*s(f). Give h(g(m)).\nAnswer: 223112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1498 divide 78360380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22672*k**3 + 636*k**3 - 2651*k**3.\nAnswer: 20657*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1279 = -9*p + 18575. Suppose 4*o = p + 3242. Let i = -809 + o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {g: 2, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyjynnnj. Give prob of sequence yn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 + 9*y - 8. Determine o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -142633\nAnswer: -57053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvvnnpanna. Give prob of picking 1 n and 2 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ememczcczfmmmczcuczz. What is prob of picking 1 z, 1 e, and 1 f?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7764, -7768, -7774, -7782, -7792, -7804, -7818?\nAnswer: -7834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807886074?\nAnswer: 2, 3, 61, 79, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38432734*a + 89321167 wrt a?\nAnswer: -38432734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91687 is divided by 5086?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*j + 609400 = 223*j. What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2607 + -2564. Calculate the remainder when f is divided by 186\/8 - 2\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2532*q + 1156. What are the prime factors of k(-9)?\nAnswer: 2, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/72*(0 + 6). Solve 0 = v - 0*v + o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 27. Let u be 1875\/((-3)\/y*-2). Round u to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*b - 1)*(2*b**2 + 0*b**2 - 4*b**2) + 4*b**3 + 0*b**3 - 2*b**3 - 774*b - 7*b**3 + 1772*b**2 - 3565*b**2 + 1795*b**2 - 4*b**3.\nAnswer: -5*b**3 + 2*b**2 - 774*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 1. Let f(r) = r - 1. Let i = 248 - 249. What is i*q(h) - 6*f(h)?\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19556.\nAnswer: 2, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 - 0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**8\/26880 - p**7\/6720 + p**6\/480 + 2*p**5\/15 - p**2. Let u(i) be the third derivative of h(i). Let u(v) = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**4 + 8*z**3 - 2844*z**2 - 356481*z wrt z?\nAnswer: -72*z**2 + 48*z - 5688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 831543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 1, i: 1, s: 1, p: 2, b: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert c0a84 (base 14) to base 7.\nAnswer: 3636024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7441 to the nearest one hundred.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 * 65.8\nAnswer: -21.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 73, 124, 193, 286, 409, 568?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(768)*6)\/(sqrt(576)*-1))\/(sqrt(54)\/(-1*sqrt(27)\/sqrt(3))*-4)*-5.\nAnswer: 125*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjejdeeddjwdjde. What is prob of sequence dj?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(40\/6))\/((-144)\/(-128)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14820 less than 13.55?\nAnswer: -14806.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 624842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 905455613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g + 1. Let m be a(-2). Let f(h) = 1. Let v(n) = 8*n + 11. Let k(s) = m*v(s) + 3*f(s). Let q be k(6). What is q rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.1. Let s = -0.31 + 0.01. Let j = m - s. What is the smallest value in -4, j, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 2*g**3 + 6*g**3 + 21*g**3 - 5*g**3 + g**3 + (-g**2 + 2*g**2 - 2*g**2)*(-2*g - 4*g + 5*g) + 0*g**3 - g**3 + 3*g**3 + 0*g**2 + 0*g**2 + 2*g**3.\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1518*y + 1644. What is the hundreds digit of b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 7*z**5\/20 + 7*z**2\/2 - 4*z. What is the first derivative of f(s) wrt s?\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**7)**(-3\/11))**(-1\/18))**15)**(-48) assuming l is positive.\nAnswer: l**(-840\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {u: 4, e: 3, r: 11}.\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1491387534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00279430662 rounded to 6 decimal places?\nAnswer: 0.002794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 9)*(2 - 2 + 4*l + (-3*l + 4*l - 3*l)*(-5 + 2 + 1)) as o*l + b and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 15*n. Let c be f(9). Let x be (-1 + c\/(-15))*5. Suppose 3*q = -x*q + 1232. Does 43 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1157, -2311, -3465?\n\"Answer: -1154*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26130 - 26131. Is 24\/1433 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + -8 + 13 + 30 + -4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5 - 1. Suppose 0 = l + d - 5. Solve 0 = -c - 0 + l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 4*t**6\/15 - 24*t**5\/5 - 457*t**4\/4 - 2564*t. Find the third derivative of p(b) wrt b.\nAnswer: 192*b - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*q = -12, -3*x + 6*q - 4*q + 36 = 0. Calculate the least common multiple of 62 and x.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*-4*3 - 3. Solve i + 4 = -0, m = 5*t - 5*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 at most 813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198284 - 129?\nAnswer: -198413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/(-2 + 30\/12). Let r(u) = -13440*u**3 + u**2 + 3*u + 3. Is r(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -69\/2 (b) 23 (c) 0.01 (d) 2\/17 (e) 83 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 - (1 - (0 - -5))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 70 = -5*y, -2*m = m. Is (-4630)\/y + 10\/35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212100 (base 4) to base 6.\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 2*a + 11*a**2)*(-4*a + 0*a + a).\nAnswer: -33*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/7392 - (-12981)\/126.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/17? (a) -4\/21 (b) -1 (c) -2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68255143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + 194*x + 201. Let y be g(-13). Calculate the highest common factor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 20*w**2 - 11 - 12*w**2 + 17*w**2 + 3 - 5*w. Let y be n(-2). What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, 1\/36, 2, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 6*g. Let i(m) = -4*m**2. Give i(x(w)).\nAnswer: -16*w**4 + 96*w**3 - 144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 768 - 765. Suppose b + 20 = -0*h - 3*h, -2*b - 5*h - 35 = 0. What is the biggest value in -4, b, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(68) - (sqrt(68)*3*-5 - sqrt(68))))**2.\nAnswer: 2829888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -11.04848.\nAnswer: 6.04848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 768751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 836643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = 3. Suppose -4*y + j = -4*o - 21, 5*o + 17 = -y. Which is the nearest to -0.1? (a) o (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095195979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 + 1374*o**2 + 232512*o - 1197160 = 0 for o.\nAnswer: -346, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**6\/240 - n**4\/2 - 5*n**2 + 6*n + 1. Let b(q) be the third derivative of i(q). Let y(r) = -r + 2. Give b(y(l)).\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 27. Let g be 2 - (j\/3 + 2). Suppose -14 - 4 = -3*v. Solve 0 = g*k + o + v - 0, -4*k - 5*o + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)\/u*u)**(-45))**(5\/4)*(u*u**(1\/3)\/u)**45*u\/(u*u**7)*u**(2\/17) assuming u is positive.\nAnswer: u**(-999\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5740 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 7*d**2\/2 - 14*d - 16. Let g be o(2). Suppose -2*w + 533 = 4*k + 3*w, g = -3*k - 3*w + 402. List the prime factors of k.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = -26*b + 1333. Solve 4*f - b = -5*t, -5*f = -18 - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5127 + 5146. Let w(u) = -18*u + 338. Calculate w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + (sqrt(13) - sqrt(1872)*-2)**2)*2.\nAnswer: 16257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-3)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -433.3332 plus -4.88?\nAnswer: -438.2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by ((-246)\/30)\/(8 + (-36)\/5 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 4*q - 4*q)*(3 + 2 - 6)*(5 + 0 - 1).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/8)\/(u*u\/(u\/u**(-18))))**(-2\/11))**35)**(-31) assuming u is positive.\nAnswer: u**(146475\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:04 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -10 - (51 - 53).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*b + 637*b - 2431 = 10361 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14232, -56950, -128138, -227790, -355900, -512462?\n\"Answer: l**3 - 14241*l**2 - 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let g be f(-1). Let t(c) = -9*c**2 + 6. Let s(d) = d**2 - 1. Calculate g*t(l) - 6*s(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5.7, 1, -652?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16115 - 0.83885. Sort 67, 12, h in descending order.\nAnswer: 67, 12, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 - 13*h**5 + 6*h**4 - 7*h**2 + 4*h**5 + 9*h**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t**2 - 14552*t + 53664 = 0.\nAnswer: 26\/7, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8334 = -r, 18 = -5*i + 8. Suppose -r = 31*a - 37*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 82*w + 1205. Give p(-13).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b - 1. Suppose -3*y = -4*n + 11, -y - 3*n = -b - 15. Solve 2 = 2*s - 4*p + 9*p, -y*s = p - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98080 is divided by 9669?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccecccccece. What is prob of picking 2 c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 16. Let n be (-27)\/2 - 15\/(-10). What is the units digit of h(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27284213.9999984 + 27284185. Let k = u + 29. What is k rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 255 + -250. Suppose -g*c + 152 = 2*m, 2*m = -3*m + 5. What is the highest common divisor of c and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-714)\/(-136) - -1*(-2)\/8. Suppose 2*f + 5*a - 35 = 0, -15 = -v*f + 4*a + 23. Calculate the highest common divisor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 5*b**2 + 1 - 3*b + 2*b**3 + 52*b**4 - 50*b**4 + b as m*b**3 + s*b**2 + k + d*b + f*b**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let f be 3 - 27\/(-18)*8\/(-6). Let y = 3.04 - 0.04. What is the nearest to k in f, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 839486 or 839479?\nAnswer: 839479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 4\/(-2))\/(8\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 - 20*l - 89. Let c be v(-9). Let q = c - -172. Solve 3*p - 4*a = 44 - 15, q = 5*p - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1 + z + 1. Let q(c) be the first derivative of -c**5\/30 - 3*c**2\/2 + 3. Let i(o) be the second derivative of q(o). What is h(i(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137 + 6027\/44. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 5*n = 2839, 3808 = 4*i + n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403 + 365.2. Let l = y + 38. What is the closest to -1 in -2, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320236 (base 8) to base 13.\nAnswer: 39712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 26.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/3 - -2 - -13*1. What is the second derivative of -13*t + 290 + i*t**5 - 290 wrt t?\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 2*z - 6. Let t(i) = -i**2 - 3*i + 5. What is -4*c(h) - 5*t(h)?\nAnswer: h**2 + 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) -2 (c) -2\/11 (d) -4\/21 (e) 0.2 (f) 0.5 (g) 57\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744\/7 + (-5 - (-198)\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110059?\nAnswer: 110059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6516.9 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*q - 11, -4*h + 4*q = -h - 25. Suppose 4 = -7*f + 25. Solve y - 2*z = 12, -h*y - z = -f*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340112533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 10:25 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -114. Calculate the remainder when 72 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101a1 (base 14) to base 12.\nAnswer: 1a515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1.1, -7835, -3\/2, 0.04?\nAnswer: -7835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/4 + (-2)\/(-8). Let t(r) = r**2 + 2*r - 3. Let y be t(p). Suppose 4*x - g = 21 - 9, y*g = 20. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -152536863*s**4 + 78108212?\nAnswer: -610147452*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 441026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140475814.43901493 - -140475816. Let l = d - 1.561. Round l to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 128468111?\nAnswer: -3\/128468111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**5\/5 - 3*y**4\/4 - y**3 + 3*y**2\/2 - 1. Determine v, given that o(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 1, 19, 23 in decreasing order.\nAnswer: 23, 19, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3864 and 3432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32046 and 3822.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 64. Suppose 4*n = 3*n - 1, 4*j + 5*n = -5. List the prime factors of v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/60*(7 + -1). Let o be 12\/(-4)*q + 6. Suppose 0*y = 3*s - 5*y + 17, 4*y - 21 = -5*s. Solve -5*c - o = 3*g - c, s = -g - 2*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 19269.\nAnswer: 134883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 2622488?\nAnswer: -2622502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/15 - 16\/20. Let o be (0 - y\/4)*-2. Solve -o*v - v = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -30?\nAnswer: -31\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.12036ng in tonnes?\nAnswer: 0.00000000000003512036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 88 + 35. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 8*g + 10. Let p be n(4). Let y = p + 72. Let o(b) = 2*b**3 - 2*b**2 - 4. Let z be o(y). Solve z*d - 5*d = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203785 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209993912.\nAnswer: 2, 26249239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 432.6673s?\nAnswer: 432667300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - (-390)\/(-40))\/((-1)\/(-4)). Let g(m) = -4*m**2 - o + 11*m**2 + 12*m**2 + 9*m**2. What is g(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528468, -1056880, -1585236, -2113536, -2641780, -3169968?\nAnswer: -3698100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 7:20 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/(10\/120). Which is greater: -49\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 + 58384*w**3 - 1633664*w**2 + 13999872*w - 33596928 = 0. What is w?\nAnswer: 4, 12, 29164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)*z**(3\/11)*(z**1)**(1\/18))**(1\/33) assuming z is positive.\nAnswer: z**(1247\/45738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 5. Let g(c) = -18*c + 66. Let k be g(4). What is q(k)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86605195?\nAnswer: 5, 17321039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from wewskwwwgkkww.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2920 is divided by 884.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23014*a**2 + 27646*a**2 + 18388*a**2.\nAnswer: 69048*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -37. Let i = 27 + c. Suppose 3*x - i = 273. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**22)\/((f**46\/f*f)\/f))\/(f*f*f**(-2\/41)\/f*f\/(f*(f*f*(f**(-2\/33)*f)\/f)\/f*f*f*f*f)))**(-12) assuming f is positive.\nAnswer: f**(335608\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Simplify (-1 + (sqrt(304) + sqrt(304) + -6*(sqrt(304) + 1) + sqrt(304) - (sqrt(304) + 2 + -3 - sqrt(304))))**2*-6.\nAnswer: -16632 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.11 + -0.11. Suppose 0 = 3*z - 4 + 13. Sort z, 2\/9, d in descending order.\nAnswer: d, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929467831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/40*1*2\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/3)\/((-9)\/(-8523)). Let s = -922 + k. Calculate the remainder when s is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t + 89*t = -93. Let h = t + 94. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:58 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.09 + 3.99. Let w = v + 4.3. What is the second biggest value in w, 2, -0.2, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 20872439.1 and -619.\nAnswer: 20871820.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i + 3 - i)*(-63*i**2 + 131*i**2 - 64*i**2).\nAnswer: 8*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 1. Let q = 63 - 61. Suppose 5*x + 13 = 2*s, -x - 6 + 5 = -q*s. Calculate y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 161*w**3 + 4*w**2 - 165*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 divided by -8?\nAnswer: -1705\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257157 is divided by 128573?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 64086543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/112 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*w = -t + 84, 4*w + 60 = -4*t. Suppose 3*c + 41 = -34. Let g = t - c. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 1. Let z be u(-1). What is the remainder when -39*(0 - (2 + z)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + 4*k, 3*v - 2*k = v + 42. Let u = v + -6. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + 74. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = q + 4. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 21*h**3 + h**2 + h - 1. Let x be w(1). Let k = -22 + x. Let o be k*(0 - (-3)\/6). Put o, -4, 1 in decreasing order.\nAnswer: 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001636565 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -4*v + 2*r, 5*v = -4*r. Suppose v = -4*q + 2*q. Let c(z) = z**3 - z**2 + 42. Let y be c(q). Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 412562\nAnswer: 123768.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -n + 6, 0 = -4*s - 3*n - 0 + 2. Which is the nearest to -0.2? (a) s (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/108 + 2\/(-8). Let y be (-1)\/(-1)*(13 - 8 - 1). Let g be (11\/264)\/(y*3\/36). Which is the second smallest value? (a) 0.3 (b) g (c) 3\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 17 = -4*m. Is (11548 - m) + (-16)\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3608 = -67*w - 5350 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -168051 not equal to -168051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 452925 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 78. Let j be i(26). What is the second biggest value in j, 1\/2, -2\/7, -0.22?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442083 - 4862911\/11. Let o be ((-8)\/(-27))\/((-2)\/(-3)). Put -2, s, o in increasing order.\nAnswer: -2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-91)*-7)\/(3\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + f**2 + 3*f + (-2*f - f + 6*f)*(-3*f + 3*f + 2*f) + 7*f**2 + 3 - 3 in the form i + w*f**2 + q*f and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -48, -73?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 436082.9 less than -0.2?\nAnswer: -436083.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 25102 = i - 0*i, 3*r + 25114 = -4*i. Let x = 167277\/20 + r. Let g = 4423 + -26477\/6. Find the common denominator of g and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -60 (b) 0 (c) 822 (d) -0.4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1006 and 624?\nAnswer: -627744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/27)\/(r\/r**3)*r**(-6)\/(r*r**(-2\/9)*r))\/(r**(2\/15)*(r**(-5)\/r*r)\/r*(r*r\/r**(-2\/3)*r)**(-1\/14)) assuming r is positive.\nAnswer: r**(803\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11004 + -11015 - (41 + 2 + -3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -12*x + 13*x. Suppose -4*r + x*r = -4*r. Solve m - 8 + 5 = r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-19))\/(84\/48678*61)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9565 + 0.68855. What is g rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Solve d - 2 = -o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4693 - -0.0307. Let h = -0.08 - 4.92. What is the closest to 1 in -3, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4 = 68. Calculate the greatest common divisor of 96 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k\/(k*k*k**(-1)*k)))\/k)*k)**(1\/9)\/(k**(-6)\/(k*k\/k**(-6)*k)) assuming k is positive.\nAnswer: k**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + l)*(2*l**3 - 3*l**2 + 3*l**2) + 1164*l - 582*l - 612*l**4 - 582*l.\nAnswer: -608*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 735, 2647, 5717, 9945, 15331, 21875?\n\"Answer: 579*a**2 + 175*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + 6*1*sqrt(100))\/sqrt(10))\/(sqrt(288)\/sqrt(9) + -1*1*sqrt(2)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4, 2*v - 5*v = 4*h + 1. Does v = -889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42464519597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - 2*h. Calculate q(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2825 - 2826. Which is smaller: -10\/3837 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*a - 4 = 0, i + 12 = 2*i - 4*a. Let v(j) = -2*j**2 - 429*j + 1089. Let u be v(-217). Solve -5 = -5*r - z, -u*r + i = -2*z + 6*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 18.9. Let a = 17.9972 + h. Round a to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 4 = -2*c - 2*z, -5*c - 5*z = -10. What is the third derivative of c*u**3 + 7*u**2 + 4*u**3 - u**3 wrt u?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/56 + 237\/132 + (-6)\/11. Let g(q) = -q - 2. Determine g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -566\/7 (c) -1 (d) 3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1080 - 1078. Let d(p) = 5*p - 2. What is d(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 11*n - 1. Let k be c(-9). What is the greatest common factor of 51 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 - 142*v - 59. What is r(-35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -222*q + 222*q - 5*q**4 + (-5*q + 2*q + 4*q)*(-5*q**3 - 14*q + 14*q).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 11*z**2 + 22*z + 56. Is k(-7) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429197 is divided by 927.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73040 and 12100?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 4*h = -10*j - 32, -5*h - 5 = 0. Calculate the lowest common multiple of 413 and j.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -14*r**2 + 3*r. Let q(p) = -p**3 + 14*p**2 - 8*p + 109. Let y be q(14). Let f(z) = z**2 - z. Give y*f(j) - a(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/(50\/75)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 102*x + 7. Let s be k(9). Suppose -4*j + s = -467. Suppose 0 = -5*z + j + 12. Calculate the highest common factor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w**(-2\/9)\/w)**(-42)*(w**7*w**(2\/19))\/(w**(2\/7)\/w*w)**(-37) assuming w is positive.\nAnswer: w**(-106529\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8646*l**3 - 835 + 835)*(l**2 + l - l).\nAnswer: -8646*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.2. Let i = 166 - 162. Which is the nearest to 1? (a) p (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -12*j + 7*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1446*g - 171295 = -49831 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3 = 5*q, 0*a + 2*a = -q + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7.39 * 826\nAnswer: 6104.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 1. Let h be d(-1). Let y be (-2)\/10 - (-184)\/20. Find the second derivative of -h + 7*t**3 - 8 + 4*t + y wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(50)\/(2*sqrt(10))*-6 + 2 + ((2*sqrt(105))\/sqrt(3))\/(sqrt(14)\/(sqrt(12)\/sqrt(6))).\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -423*v**2 + 5*v + 5. Let j(m) = 1691*m**2 - 19*m - 19. Let d(x) = -5*j(x) - 19*u(x). Let b(h) = 2*h. Calculate d(b(k)).\nAnswer: -1672*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40 + 34\/3*u - 2\/3*u**2.\nAnswer: -2*(u - 20)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0423920894 to three decimal places.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1.5. Let i = 2402\/99 - 220\/9. What is the closest to -0.1 in i, a, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) + (16 - 13). Suppose 6*g = l*g + 15. Is g < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22*o**2. Let y(a) = -8*a - 12*a + 22*a. What is k(y(b))?\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -806\/187 - -7022\/935. Determine s, given that -m*s**2 + 26\/5*s - 12\/5 + 2\/5*s**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 1\/18*v**3 - 36 + 1\/2*v**2 + 3\/2*v. Factor w(l).\nAnswer: (l + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.713 + -0.82. What is the second smallest value in 5\/2, c, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**3\/3 - 4*r**2 - 6*r + 1. Let c be (-4)\/(-4)*5 - -5. Is d(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-1 - -2) + -2. Suppose i = -5*f - 5*l, 4*l = -2*f + f - 16. Let z(p) = 4*p - f - 2 + 0*p + 5. Give z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 49. Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 772*g**2 - 2.\nAnswer: -772*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 476 or 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1271818 less than or equal to -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 315*s**2\/2 - 25397*s\/2 + 7880.\nAnswer: (s - 80)*(315*s - 197)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 0.1 (b) 5 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2436\/464*(-24)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(864))\/(sqrt(12) + (-3*sqrt(120))\/sqrt(10)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/(-16))\/(5\/1580*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999708 and 215429.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1\/24*h**4 - h**2 + 0*h**3 + 0*h + 0. Let t(y) be the first derivative of 2*y**3\/3 + 1. What is p(t(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**6)\/v)\/v)\/(((v*v**(-10))\/v)\/v))**(-2\/37)*v**0*v\/(v\/(v**2\/v))*(v\/(v**(-1\/7)\/v*v))\/(v*v**(-7)*v*v*v*v) assuming v is positive.\nAnswer: v**(849\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a hour in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**3*i\/(i*i**6)*i)\/((i\/i**(3\/2))\/i**(-1\/3))*(i**(-2\/17)*i*i)\/i**(4\/9)*(i*i*i**(-1)*i)**(-12\/5) assuming i is positive.\nAnswer: i**(-15599\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93162?\nAnswer: 2, 3, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19303*h**4 - 6*h**2 - 8*h - 8.\nAnswer: -463272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*1\/(-15) + 26\/(-6). Let i(o) = -o**2 - 7*o - 6. Let h be i(-6). Let n be (2 + h)*1\/2. Sort -1, n, c.\nAnswer: c, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316426007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -513.484 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 9*c**2 - 9*c + 23*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*k = -0*m - 13, -m - 2*k - 1 = 0. Suppose 0 = -4*w, -m*w = -4*n + w + 20. Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:18 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42818633?\nAnswer: 11, 13, 163, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*q - 14, -q + 32 = 5*i - 0*i. Let k(s) = -5*s + 4*s + 9*s - i*s. Let d(p) = -2*p. Give k(d(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -752, -762, -770, -770, -756, -722, -662, -570?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose 10*q - 94 = 96. Suppose -29*z + 28*z + q = o. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 14*q**2 + 49*q + 8. Give x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 25*j - 39*j + 25*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-2100)\/(-112))*(-5)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcc. Give prob of picking 3 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39577795 to the power of 1\/2, to the nearest integer?\nAnswer: 6291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/18 - 6)\/(-2). Let j**3 + 2\/3*j + d*j**2 + 0 - 1\/3*j**4 - 1\/3*j**5 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbcbbbpbbbbbb. Give prob of picking 1 c and 2 b.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**5*w**2 + 16455*d**5*w + 96*d*w**2 + 3*d*w + 720*d wrt d.\nAnswer: -120*d**3*w**2 + 329100*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 + 9*m**2 + 230*m wrt m?\nAnswer: 12*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1 - 1) - -7. Suppose -b - 5 = 2*f. Let g be (-9)\/f*40\/3. Solve 14 = 4*c - 3*y, -2*c - 3*y - 2*y + g = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 568*o**2 + 140*o**4 + 260 + 223*o**3 + 3*o**5 + 616*o**2 + o**5 + 914*o + 445*o**3 = 0. Calculate o.\nAnswer: -65, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2164302*s**3 - 7*s - 9886?\nAnswer: -12985812*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -33 - ((-2 - 7) + (34 - 23)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018239 to 6 dps.\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by ((-9)\/6)\/(16\/(-1120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -58 - (19 - ((6 - -4) + 4 - -3))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 2:31 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 13 - (-2 + -8 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-154)\/(-6) + (-2)\/(-6). Suppose j = -3*k - 85. Let t = -13 - k. 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 {c: 1, t: 1, k: 1, b: 1, x: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 2*o - 11. Let n be q(4). Let y = n - 16. Is (-3)\/y*2 - -125 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 347944 and 36202.\nAnswer: 273831928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/14)\/w)\/(w\/w**(-2))*w\/((w*w\/w**2)\/w*w)*(w*w**(-3\/4)\/w)\/w)\/(w**(-2)\/(w**(-6)\/w*w)*((w*w**0*w)\/w)\/((w**(-4)*w*w)\/w*w)) assuming w is positive.\nAnswer: w**(-327\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 4, a: 2}. Give prob of sequence aawb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 52. Sort m, -0.1, -0.5, 0 in ascending order.\nAnswer: -0.5, -0.1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reennnrrwnteewrennww. Give prob of picking 2 n and 2 r.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.1, -0.3, -59\/8?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 27 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 92*b**2 - 11512*b + 24111. Determine j(123).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33060\/1 + (-37)\/(-37).\nAnswer: 7, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-80) + 378\/(-40). Let o be (0 + -1)\/(15\/(-117)). Let k = o + u. Which is the closest to 0.2? (a) -4 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*q + 190*q = -36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*j + w, -5*j = -w + 1 - 18. Suppose -5*o - 21 = -k, 0 = -4*k - 0*o - 4*o + 132. Suppose k*d - 36*d = 25. Put 9, -4, d, j in ascending order.\nAnswer: d, -4, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 11*l**2 + 18*l - 12. Let v be p(12). Suppose 0 = -5*q + q - v. Is 2388\/20 + 6\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 21*s**2 + 20*s - 64. What is i(12)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3\/7, -0.1, 558\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303617 by 139.\nAnswer: 303617\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*a - 45 = -q, 15 = 2*q - 5*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(12\/11)*y)\/y**(2\/59)*(y**(9\/7)\/y)**(-7\/4) assuming y is positive.\nAnswer: y**(1785\/1298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -310*y**4 + 420 wrt y?\nAnswer: -1240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 5. Let s be 1\/2 + 3\/6. Let k be ((-4)\/j)\/(s\/(-18)). Solve 2*p + p = -k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2)\/sqrt(8))**2 + sqrt(121)\/(sqrt(55)\/sqrt(5) + sqrt(11)).\nAnswer: sqrt(11)\/2 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 570966?\nAnswer: 570952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*-2*sqrt(80) + -2*sqrt(125)*-6)**2 + 1.\nAnswer: 23125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 6. Let n be i(-4). Let k(w) = -w**3 - 17*w**2 - 9*w - 125. What is the remainder when (0 - (-327)\/n)*-2 is divided by k(-17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f*h**3*i + 697*f*h**2*i**2 + 2*f*h*i - 3*f*h - 3*f + h**3*i**2 + 10*h**3*i - 48*h**3 wrt h.\nAnswer: 24*f*i + 6*i**2 + 60*i - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b**2 + 0)*((-1 - 4 + 2)*(1 - 2 + 6) + (-2 - 3 + 4)*(2 - 1 + 0)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**3*s**3*x + 2*i**3*s + 957*i**3*x - 3*i**3 - 46*i**2*s**3*x - 2*i**2*s*x - 3*i**2*x - 22*s wrt i?\nAnswer: 6*s**3*x + 12*s + 5742*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.3158 years in decades?\nAnswer: 67.43158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122111 and 935?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 915 - 916. Which is the second biggest value? (a) s (b) 459 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 82.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from trtyszztszxzrrz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9963 - 9968. What is the nearest to -3\/7 in -65, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14764855 rounded to five decimal places?\nAnswer: 0.14765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 7. Let c be k(5). Suppose -1 - 14 = c*j. Let a(l) = 2*l**2 + 8*l + 2. Let o be a(-3). Sort o, j, -16.\nAnswer: -16, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 211*w + 11128 = 260*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3\/4 + 615639*w**2\/4 - 7916423922*w + 2087057984355 = 0.\nAnswer: 265, 102474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -34. Let o be (-130)\/g*3*-4. Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 42*n**2 + 2*n + 178. Let o(t) = -10*t**2 - t - 45. What is 13*o(f) + 3*u(f)?\nAnswer: -4*f**2 - 7*f - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -770 + 770.3. What is the closest to 2\/3 in 6, -0.5, 4\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 585 and 17420.\nAnswer: 156780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 5045.\nAnswer: -11\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794279 is divided by 7351?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3702, 5, 29319, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 8 in decreasing order.\nAnswer: 8, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*g + 206 + 8 = 89, 4*g + 881 = -41*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5324) + sqrt(5324) + (sqrt(5324) + 3)*-4 + sqrt(5324) + sqrt(5324) - (((1*sqrt(77) - sqrt(77))*6)\/sqrt(7) + -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 8. Suppose 4*y + 40 = 4*u, 2 = -u - 0*u - 2*y. Determine g(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 283 + 165. Let l = d + 159. Suppose 17 + l = 4*a. Calculate the remainder when 46 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -39, 0.5, 5\/4 in ascending order.\nAnswer: -39, -0.4, 0.5, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(3520) + sqrt(3520)*2*-3)\/(sqrt(5) + sqrt(45)\/(sqrt(18)\/sqrt(2)) + (sqrt(5) - (sqrt(80) + sqrt(5)))*-4).\nAnswer: -8 - 20*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054214915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 4943.\nAnswer: -27\/4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Suppose -4*f - 4*h = -12, -s*f = -3*h - 0*h - 5. Find the first derivative of -4*a + 4*a - f*a**3 + 1 wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1980 and 113850?\nAnswer: 227700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6*m = -16. Let v(y) = -3*y**3 + 3*y**2 - y - 7. What is the least common multiple of 9 and v(m)?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11 and 46742649798.\nAnswer: 46742649798.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1108 less than -1109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 1 (c) -0.2 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4.1. Let z be 4\/22 + (-66)\/(-968). Which is the third smallest value? (a) z (b) 9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 423.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*a**4 - 52600*a**3 + 5501870*a**2 + 6659160*a + 2003445.\nAnswer: 5*(a - 211)**2*(5*a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2090 * 0.5.\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 5, x: 3, w: 1, h: 1, j: 2}. Give prob of picking 1 h and 1 w.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71044 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -1122?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*250\/225*(-24)\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o = -16*o - 645. Let p be (42 - 36)*o\/(-18). Determine w, given that 4\/7*w**p - 16\/7*w**4 - 16\/7*w**2 + 24\/7*w**3 + 0 + 4\/7*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(1 - 2 + 2)*(-24 + 11 - 36)*(3*c - c - 3*c)*(-1 - 2 + 1).\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/4 + 49*f**2\/2 - 808*f - 120. What is the derivative of d(c) wrt c?\nAnswer: -3*c**2 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 - 3*l + 2. Let c = -9 - -15. Let a be v(c). Let q be (a\/20)\/(1\/(-25)). Solve 6*i - 2*i = -q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = v - 3759, -4*v + 2*f + 14982 = 0. What is v rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 13) to base 8\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -163*a**6\/30 + 8*a**3\/3 - 2*a**2 + 3*a + 54. Find the second derivative of x(b) wrt b.\nAnswer: -1956*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-8 + 4)) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + l**2 + 0)*(-l - l + 4*l) - 43*l**3 - 291*l**2 + 291*l**2 + 2*l**3 - 6*l**3 - l**3 to f*l**3 + w*l + p + j*l**2 and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 + 3 + 2*b**4 - 41 + b - b**2 - 2*b**3 to y*b**3 + v + f*b + k*b**4 + a*b**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.04 - -1. Let d(h) = -2*h**2 + 97*h - 1146. Let c be d(28). Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 84*a**3 - 2*a**2 + 7*a. Let h(q) = -q**3 - q**2 + 2*q. Calculate 4*h(j) - y(j).\nAnswer: -88*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1039*229450.\nAnswer: -238398550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -13 (b) 2 (c) -205 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaasssaaaias. What is prob of sequence sas?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Let i = -0.007 + -4.993. Suppose -5*z + 4*p - 1 = -5, 0 = 2*z - 3*p - 3. Which is the closest to z? (a) i (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/32)\/(6*91\/(-28))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(125) - (sqrt(125)*-1)**2) + -4.\nAnswer: -127 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*z - n + 4, 0 = -z + 5*n - 5. Suppose z = -12*l + 156. Calculate the highest common factor of 39 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 24. Let l = x + 48. Suppose 28*q - 65 = 23*q. Calculate the remainder when l is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6017647 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*i**3 - 2*i**3 - 3*i**2 - 3*i - 12*i**2 + 16*i**2 in the form v*i + x*i**3 + s + f*i**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3147132?\nAnswer: 2, 3, 262261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001738684 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/9 + 4005280*t\/9 - 1002641742400\/9.\nAnswer: -4*(t - 500660)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(1\/(-2) - 0). Let b(u) = -2*u**2 - 5 + a + 4. Let s(g) be the first derivative of -3*g**2\/2 - 1. Calculate b(s(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -377 + 378. Which is the closest to 177? (a) -2\/5 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 686, 777, 868, 959?\n\"Answer: 91*h + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1*(-20 + (-8)\/(24\/15))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/2)\/i)\/(i**(2\/7)*i))**46)**14 assuming i is positive.\nAnswer: i**(-1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3830585.38 to the nearest 10000.\nAnswer: -3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -147.17 - 90\nAnswer: -237.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48371a + 6?\nAnswer: 483725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 602 + 3*w - 4*w - 5*w**2 + 332 + w**2 to the form l + o*w + z*w**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 25*a**2 - 2*a - 1. Let p be t(-1). Suppose -4*n + 4*g = 0, 2*n + 3*g - p = -6. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3610, 14321, 32180, 57193, 89366?\nAnswer: 128705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.04 - 0.04. Let v = 26 + -27. What is the closest to v in s, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/60 - (-2)\/6. Let s = -153 - -162. Let u be (((-70)\/4)\/5)\/(s\/6). Do u and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = -1. Suppose 0 = -446*d + 247*d - 5970. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38895 divided by -19\nAnswer: 38895\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/240 + 4\/(-20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/2 - 333*m**4\/2 + 3813*m**3\/2 + 568317*m**2\/2 - 7457076*m - 7739160 = 0. What is m?\nAnswer: -41, -1, 44, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 775832 by -1.\nAnswer: -775832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/49 - 23\/42.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19879469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 10 - (-1 - -3)) + (-4 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64777699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/180 and 29\/807904?\nAnswer: 36355680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1875\/7 - -30357\/112. Calculate the common denominator of t and -1 + -1 + (-1341)\/(-696).\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 - 6*f**3 - 10*f**2 - 9 + 5*f**3 in the form d + b*f**3 + n*f + l*f**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 440*t**4 + 4040*t**3 - 14810*t**2 + 15715*t - 5390.\nAnswer: 5*(t - 1)**3*(t + 14)*(t + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/95, -2, 4, -0.39, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87647.03 centimeters?\nAnswer: 0.8764703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116414 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*g + g - 3*g)*(4 - 2 - 6) - g - 3 + 3 + 3*g - g + 0*g)*(13*g**2 - 21*g**2 + 381 + 10*g**2) in the form r*g**3 + d + l*g + q*g**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 - v. Let x(s) = 11*s**2 - s + 2. Let y(a) = -13*b(a) + 6*x(a). Let c(k) = -3*k + 1. Let z be c(2). Let r be y(z). Solve f = r - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -156. Let i = -47 - f. Suppose 0 = -4*g + 20 - 8. Solve -i = -m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 0.244585.\nAnswer: 3.42419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6249 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 2*c. Let t(j) = 3*j**2 + 2*j. Give -4*o(b) - 3*t(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 140 = 3*j + 57, 0 = 2*y + 4*j - 104. Let u = 80 + -50. What is the remainder when u is divided by (-30)\/y + (-83)\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/(-15) + -2)\/((-3)\/(21 - 945906)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/30*(-3)\/(-5)*425\/714\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*t + 3*t - 5*t)*(18*t - 2*t**3 - 18*t + 2)*(-1 + 5 - 2 + (3 - 2 - 4)*(-5 + 3 + 1)) to the form v*t**2 + s*t + d + z*t**4 + n*t**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -1\/120*a**6 + 0*a**5 + 2*a**2 + 0*a**4 + 0*a - 2\/3*a**3 + 0. Let i = -82 + 86. Let t(w) = -1. Calculate i*t(h) - u(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3) + (-235)\/141 + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 1\/6*w**3 - 95\/12*w**4 + 0 + 0*w + 4*w**2. Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14 - -18 - 154\/12. Let v = 190\/21 + o. Let w = 16.8 - 15.8. What is the smallest value in 0.5, v, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72087 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0631 - 7.\nAnswer: -7.0631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 422578 and -612.\nAnswer: -258617736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1013, -9498, -32909, -78710, -154365, -267338, -425093?\n\"Answer: -1244*r**3 + r**2 + 220*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*q**3 - 135*q**2 - 20*q.\nAnswer: -5*q*(3*q + 4)*(6*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhshhhshhhsshs.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5805 and -0.18?\nAnswer: 1044.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -350 - 2?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*p + 40, 0 = 4*x + 5*p - 0*p - 55. Let y = x + -16. Suppose -5*t - 2*q + y*q + 13 = 0, -5*q = 5*t + 15. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110010000110 (base 2) to base 14.\nAnswer: 590a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**7\/30 + a**6\/24 + a**5\/20 - 4*a**3\/3 + 2*a**2 - 8*a. Find the third derivative of r(g) wrt g.\nAnswer: -168*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*u**2 - u**3 + 56*u - 186*u**2 + 101*u - 159*u - 4 to w*u**2 + k + h*u + t*u**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/9)*m)\/m)**(-2\/9))**28*m**(5\/3)*m**(2\/9)*m**(-8)\/m*m**(-5) assuming m is positive.\nAnswer: m**(-869\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20 + 16. Let k = -3 + 1. Let u be h + ((-56002)\/1)\/k. Round u to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.05 + -0.05. Let o = -13 + g. Is -6 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8788*g**2 - 45*g + 5.\nAnswer: -17576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*l + 8. Suppose 7*x - 4*x - 2*b = 2, 3*x - l*b + 13 = 0. Let j = -40 + 44. Solve -8 = j*t - x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = b - 101, -500*m + 502*m = 3*b - 53 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.299*-0.1\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l. Let z(v) = 2166*v + 4. Calculate z(t(p)).\nAnswer: -6498*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -24. What is the nearest to -1 in -0.5, f, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.004 and -51?\nAnswer: 51.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9091785228 plus 2898?\nAnswer: -9091782330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20186 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9078 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1244300 to the nearest 10000.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 71.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4\/2)*25\/(-5)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6862881 milligrams to nanograms.\nAnswer: 686288.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 23\/636949 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-1 - (0 + -1)). Let t be (1 - i)*(-3)\/6. Suppose 2*w - 22 = -t*w. Calculate the smallest common multiple of 1 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 63*u**2 - 16*u - 1008.\nAnswer: (u - 4)*(u + 4)*(u + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 2 + 1 + 2. Is 9 + q + 6\/(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/45? (a) 0.5 (b) -2.9 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 21053933 and 21053933 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1804.182 meters to kilometers.\nAnswer: 1.804182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 6*v + 9*v)*(-v**4 + 59912*v**2 - 59911*v**2 - v**4).\nAnswer: -28*v**5 + 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -142 + -56 + 219 - (1 + 58)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 209.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s**2 + 6*s - 2. Let l(m) = m**3 - 6*m**2 + 6*m - 5. Let g be l(5). Calculate the least common multiple of k(5) and 1 - (g\/(-1) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120130123100 (base 4) to base 2\nAnswer: -11000011100011011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:13 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 13) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d. Suppose -3*u = -5*u + 20. Let b be (-4)\/(-9)*15\/u. Which is bigger: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159790398.\nAnswer: 2, 3, 26631733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 312*s - 4400. Calculate v(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 133460, 266940, 400454, 534020, 667656?\n\"Answer: 3*i**3 - i**2 + 133462*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + -1 + sqrt(18)\/(sqrt(54)\/sqrt(6))).\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 411 + -95. Let n be 4\/12 + o\/6. Suppose n = 3*i + 17. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 465*l + 466*l - 932*l.\nAnswer: -l - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21613 (base 9) in base 7?\nAnswer: -56556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q + 2*q**4 - 6*q**3 - 12 + 0*q + 18*q - 3*q**2 - 3*q**2 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -17. Let n be 0 - (-4 + (-14)\/(-2)). Let m = n + b. What is the highest common divisor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.03. Let j = 10 - 5. Let g = -5.2 + j. Which is the biggest value? (a) 0 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2611930 and 1770.\nAnswer: 7835790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -52*((-5545)\/20 + 12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3557 divided by -4?\nAnswer: -3557\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 2 + l + 0*l**3 + l**2 - 1\/6*l**4. Let m(n) be the first derivative of y(n). Differentiate m(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -1\/2*b**3 + 0*b**4 + 2\/15*b**5 + 0*b + 0 - 16*b**2. What is the first derivative of w(o) wrt o?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -5.8 (c) 23.1 (d) 1 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -646*w - 678 + 12952 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7006 - 1333*w**2 + 7006)*(-w**2 + 2*w**2 + 5*w**2) as p + d*w + l*w**2 + b*w**4 + s*w**3 and give b.\nAnswer: -7998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9\/2, 2\/3, -3\/11, -3\/31?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2552 + -123170?\nAnswer: -125742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -24. Let l be 2*w*(-2)\/4. Let m(t) = -t**3 + 8*t**2 + 8*t - 18. What is the units digit of m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37274941435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 4*g)*((-1 + 1 + 2*g)*(-4 + 4 - 2*g) - 4 - g**2 + 4 + (1 - 1 + 2)*(2*g**2 + 4 - 4)).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4119, 8154, 12031, 15672, 18999, 21934?\n\"Answer: -13*i**3 - i**2 + 4129*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1198 = -2*n - 3648, 4*c - 4855 = -n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142430 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: What is prob of picking 3 c when three letters picked without replacement from {a: 17, c: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/72 and 37\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -3. Let s(z) = 3*z + 7. Let p be s(-3). Let i be p*(0 + m\/6). Is -3 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 w when three letters picked without replacement from {b: 2, l: 1, w: 4, d: 1, r: 7}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 86676380.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.5 (c) -99 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 80. Suppose -3*b = b + q. Let x(f) = -99*f - 17. Let r(t) = -70*t - 12. Let y(w) = 7*r(w) - 5*x(w). Determine y(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98905686251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - 2. Let w(t) = 12*t**3 - 148*t**2 + 136*t + 32. Let q(o) = -16*j(o) - w(o). Factor q(g).\nAnswer: 4*g*(g - 1)*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -116, -341, -766, -1457, -2480?\n\"Answer: -11*t**3 - t**2 - 11*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113164764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-6)*m))\/m**(-10\/7)*m**(-11)\/((m*(m\/m**(-15))\/m*m)\/m) assuming m is positive.\nAnswer: m**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15 + 14*f**4 - f + f**4 + f wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let c be 4\/6*9\/k. Suppose 5*n - c*n - 21 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 201 and -54?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 107*k + 3. Let q(d) = 29*d. Determine q(j(f)).\nAnswer: 3103*f + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/3)\/((-29)\/1044). Calculate the greatest common divisor of 30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321126000 rounded to the nearest one million?\nAnswer: -321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50c16 (base 15) to base 5.\nAnswer: 31141341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -5*c + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 u, 1 h, and 1 c when four letters picked without replacement from {l: 2, h: 1, p: 1, j: 3, c: 1, u: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 4*j**2 + 3*j + 14. Determine x(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -3 + 29156 - 3484\/134 and 9.\nAnswer: 87381","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 1780 (b) -5\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - 38. Let s = -122 - p. Calculate the lowest common multiple of 11 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 13 + -21)*14\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*w + 24*w + 242. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i - 11035 - 5965 = -42*i. Calculate the highest common divisor of i and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*t + 12 = 0, -5*u + t - 2 = -5. Suppose -2*r = -u*r. Suppose 4*h = -r*h + 440. Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 62*q + 3. Let j(n) = 62*n + 2. Determine 5*j(z) - 4*w(z).\nAnswer: 62*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*n**2 - 6*n**2 - 7*n**2)*(-4 + 4 + 1)*(-5*n + 3*n + 3*n)*(-60*n - 117*n + 15*n) as w*n**3 + r*n**2 + a*n + q + v*n**4 and give v.\nAnswer: 5022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 200*u + 2938.\nAnswer: -2*(u - 113)*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 42 - 3*b + 10)*(-b + b - 2*b)*(-b**2 - 2 + 2 - b**2 - b**2 + 4*b**2 + (0 - b + 0)*(-b + 0 + 0)).\nAnswer: 12*b**4 - 108*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -18861 (b) 0 (c) 0.1 (d) 5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -47*x + 1412. Let s be g(36). Are s and -287 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd - 8c1?\nAnswer: -9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3465 and 555088380.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 - 13473*g\/4 - 202545\/2 = 0. What is g?\nAnswer: -30, 13503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3418 = 11*y - 1884. Calculate the remainder when y is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -51.5788.\nAnswer: 47.5788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 19. Suppose 2*p + c = 0, 0 = m + 3*p - 4*p + 18. Let w = -11 - m. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o**3 - 86*o**2 + 48*o + 8 = 0. What is o?\nAnswer: -2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283418 is divided by 7262?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18c (base 15) to base 11\nAnswer: 2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287541, 575063, 862585?\nAnswer: 1150107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1. Let h(l) = -2*l + 3. Let v(p) = -3*b(p) - h(p). Let g(y) = -16*y**2 - 10*y**2 + 31*y**2. Calculate v(g(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 + 19*x - 16. What is g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 51*x**2 - 48*x = 0. What is x?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**3 - 35*w**3 + 143*w**3 - 24*w**3 + 2*w - 2*w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/68*8\/(-1). Solve n*o = 6 + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:19 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.726 - -0.426. Let d = -26.3 - i. Which is bigger: 53 or d?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3172 = 6*b. Let k = 7937\/10 - b. What is the common denominator of k and 107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 - 5*f + 2. Let s be i(6). Let a = s + 93. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1648654423 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2339353 rounded to 3 decimal places?\nAnswer: -1.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 a factor of 1100443861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3445 + -266. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17307 from 0.49.\nAnswer: -17306.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30130217*d**4 - 10519250.\nAnswer: 120520868*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 78418400 to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 16*o**2 - 74*o. Let r be b(6). Suppose 8*h - r = -68. Let s(j) = j**3 - 7*j**2 - 7*j - 5. What is s(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 15413812.\nAnswer: -6165524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 0*p**2 + 5*p**2)*(1 + 43*p**2 - 43*p**2 - 25*p**3).\nAnswer: -50*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112406267 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: Which is the nearest to -1? (a) 0.3 (b) -234.7 (c) 1\/4 (d) 0.1 (e) 4 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m - 38*m - 18 + 18 to the form s + t*m and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/37370 and 49\/37370.\nAnswer: 37370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqqqqqyjpypybq. What is prob of picking 1 q, 1 p, and 1 j?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/20 + (-30221)\/(-235) + -130?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1607472287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 19. Suppose -2*v = z + 1 - i, 5*z = -v + 10. Solve 9 = -y - 3*g, -z*y - g = 3*g + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07774 + 1.07774. Which is smaller: -40.6 or y?\nAnswer: -40.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1553 = f + 3*q - 1447, -f - 4*q = -2998. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 17.529, 2 in descending order.\nAnswer: 17.529, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 1. Let q(z) = -6*z**3 - 530*z + 519*z - 11*z**2 - 7 + 5*z**3 + 18. Give 2*q(c) - 22*v(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1870624 divided by 9544\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1928 or 826?\nAnswer: 1928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v)*(5*v**3 - 14*v**3 - 14*v**3 + (-3*v + 2*v**2 + 3*v)*(v + 3 - 3))*(-5*v + 5*v + 6*v).\nAnswer: 252*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwfawxhwxff. Give prob of picking 1 f, 1 v, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153114?\nAnswer: 2, 367, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -433728242, -433728243, -433728244, -433728245?\n\"Answer: -r - 433728241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/1404)\/(49\/(-441)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 8*k - 1. Let i be t(-8). Let p be -1 - -6 - (-2)\/i. Suppose -y + 3 = 3*h - 0*y, h - p = -y. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 4:27 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8883528893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1391 + -111. Is g a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t - 1 = -225 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 777165.\nAnswer: 4\/777165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24570 or 73711\/3?\nAnswer: 24570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1422 + -789. What are the prime factors of x?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 less than or equal to -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28261.6149 + -28263. Let v = 1.1 - -0.3. Let g = b + v. What is g rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, 46.29, 2\/21, 1\/3 in descending order.\nAnswer: 46.29, 1\/3, 0.3, 2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -21)\/(3\/(6\/14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23928 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Sort -2, -3, z in decreasing order.\nAnswer: z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(170))\/sqrt(10))**2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2019093 to the nearest ten thousand.\nAnswer: -2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-13) - 14\/91. Suppose -3*a = -4*y + 44, -3*a + v*a = 0. Let p(b) = 21*b - 1. What is the remainder when p(1) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 13 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 211 + -28b?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4 + 12. Let -3*r + 12*r**3 + z*r**2 - 2*r + r = 0. What is r?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-8) + 2\/8. Let z be (-89)\/o - (-4)\/20. Solve 2*d = 2*u + 2*u - z, -u = 3*d - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 - 8*y**3 + 71*y**3)*((1 - 2 + 0)*(-87 + y + 87) + 0 + 0 - 2*y).\nAnswer: -174*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + ((-6)\/(0 - -3) - 0). Let v(y) = 48*y - 6. What is the units digit of v(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(2\/5)\/c*c)**(-25)*c\/(c**(-1\/3)*c)*c**(2\/11) assuming c is positive.\nAnswer: c**(-1138\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/21)\/(f\/((f\/(f\/(f*f**(-6))))\/f)))**(-48))**(2\/15) assuming f is positive.\nAnswer: f**(4768\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 8, s: 11}. Give prob of sequence siss.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/10 and -43\/1782.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -0. Let w(l) = -l**3 - l + 1. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -874, -1760, -2646, -3532?\n\"Answer: -886*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*a + 5, 45*d + 2 = 42*d + 2*a. Suppose 8*c + 4*l + 34 = 13*c, -c + 3*l + 9 = d. Find f such that 3\/5*f**2 + c*f + 15 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284*o**2 - 1211*o**2 + 71 + 2494*o**2 + 38.\nAnswer: -o**2 + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -100. Suppose 23*m = x*m + 5, -2*j + 3*m - 3 = 0. Let l(f) = -f**3 - 4*f - 2. Calculate l(j).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -32*l**2 + 1373*l - 1201. What is g(42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -80. Suppose -4*o + 38 = n. Solve -o*t - 14 = 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87908 (base 11) to base 4.\nAnswer: 133020312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74653405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 50, -3 in increasing order.\nAnswer: -16, -4, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 2*j**2 - j. Let y(g) = 2*g**3 + 122*g**2 - 1684*g + 1568. Let s(f) = -4*i(f) + y(f). Find n, given that s(n) = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 - 2*k**3 - 1 - 3 - k + 4 to s + w*k + a*k**3 + g*k**4 + b*k**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7428439 = -30440439. Round v to the nearest one hundred thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 12, 4*x + 6 - 10 = -2*d. Factor 0*b**x - 1\/2*b**2 + 0*b + 1\/4 + 1\/4*b**4.\nAnswer: (b - 1)**2*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 6*n**2 - n - 7. Is 4 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49977 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**2 + 72*f + 32. Let i be u(-14). Let g = i + -358. What is the remainder when g is divided by 20 + -1*(-3 + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 - 4*k**3 - k**4 + (0*k + k**2 + 0*k)*(5*k - k**2 - 5*k) - 8*k**4 + 26*k**4 - 6*k**4)*(-2*k + k + 5*k).\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182 or 23?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7922 divided by -7922\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.4536.\nAnswer: -0.4536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 14*w - 12. Let i be j(10). Suppose -4*a = 7 + 5, -24 = -3*p + 4*a. Solve -7 = 5*q - 2*m + i, p*q = -4*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 + k + 1. Let i be x(-1). Suppose -h - 196 = -i*h. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16296 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 720, 2422, 5728, 11172, 19288, 30610?\nAnswer: 45672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795533088.\nAnswer: 2, 3, 7, 17, 83, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-835)\/(-501)*(-8)\/(-20))\/(-3*8\/1620).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595*q - 31*q = 285*q - 4555 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*14\/(-28). Which is the nearest to w? (a) -5 (b) 2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 442*g**2 + 15*g + 1. Is y(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d. Let t be o(1). Suppose -5*y + 2*v = -0*v - 23, 5*y - 4*v - 21 = t. Solve y = -x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21337213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -806 divided by 3657?\nAnswer: -806\/3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1173)\/(-161) + (-2)\/7. Let i be -3 - p\/7 - -7. Solve 3*o = 2*z - 0*z + 21, 16 = i*z + 5*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2))\/(16\/32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7327 + -7342. Let w(z) = z**2 - 4 + 35*z - 17 - 21*z. Calculate w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 76, 0.2, -2 in descending order.\nAnswer: 76, 0.2, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {s: 2, n: 1, i: 1, q: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947599917.\nAnswer: 3, 23, 109, 174959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 + 0 = 0. Let r be 12\/(1*2 + -1). Let y be (r\/15 - z)*1. Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 316?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktvzktt. What is prob of picking 1 k and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*m + 196*m - 463 = -103*n, 4*n + 6 = 3*m - 2*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1478, -11702, -39448, -93476, -182546?\n\"Answer: -1460*b**3 - b**2 - b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19923 = -33*y - 223*y - 230*y - 2427 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425910 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.2, 1\/2, -1.6, -3.\nAnswer: -3, -1.6, -0.2, 1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - q**2 - 7*q + 7. Let r(f) = f**2 - 6 + 0 + 0*f**3 - 259*f + f**3 + 265*f. Calculate -6*c(m) - 7*r(m).\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 27*c**2 - 35. Is h(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2 + 1)*-6. Let a = h - 0. Let r(m) = -6 - 4*m - 9*m**2 + m**2 + 3*m. Let k(d) = 17*d**2 + 2*d + 13. Give a*k(b) - 13*r(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -16, -37, -66, -103, -148, -201?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phdgpdgdgpjpig. What is prob of sequence idg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 - 68*p**3\/5 + 1119*p**2\/5 + 1188*p\/5.\nAnswer: p*(p - 36)*(p - 33)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-6)\/3) + -2. Which is the nearest to n? (a) 0.5 (b) 0.3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-20) - 216\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * -67262\nAnswer: 17488.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126906572 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8302 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from zzqzqqzqzzzzzzzq.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*i + 21 = -90*i - 78. Solve 10 = -5*b - v - i, -7 = -b - 3*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76 - (-13 - (-37 + 14)). Which is smaller: 68 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdwwcwcmqbm. Give prob of picking 1 q, 1 m, and 1 d.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 2*g)*(0 + 2*g**3 + 0) + 4*g**4 - 2*g**4 - 3*g**4 + (2*g**2 + 1 - 1)*(-g**2 - 3*g + 3*g) - 3*g**4 - g**4 + 2*g**4 - 6*g**4 + 7*g**2 - 7*g**2.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + f**2 + 0*f**2)*(0*f + 2*f**2 + 0*f) - 5*f**4 + 3*f**4 + 8*f**4 + 3*f**3 to b*f**2 + m*f + w*f**4 + z + n*f**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = b + 2*g, b + 5 = 5*g - 6. Let d(x) = -3*x**3 - 3*x**2 + 8*x + 2. Let f(r) = -2*r**3 - 4*r**2 + 8*r + 1. Let k(c) = b*f(c) - 3*d(c). What is k(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-610)\/45) + (-28)\/(-63)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323313 (base 4) in base 11?\nAnswer: -9040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.8 times 180399\nAnswer: -1587511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -18.61?\nAnswer: -9.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*d + 8*d**3 - 2183*d + 751*d + 2 + 713*d.\nAnswer: 8*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001110100111 + -11?\nAnswer: 1000001110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9985 + 70428. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00057238271 rounded to 5 decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -160*v + 697. Calculate w(6).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (sqrt(108) - 2*sqrt(108) - sqrt(108))))**2*-2*1*-4.\nAnswer: 55296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Suppose a + 4*c - c = -1, 2*c + 38 = 2*a. Let r be a\/2*6\/21. Calculate the highest common factor of h and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/24 - 9*t**3\/2 - 15*t**2 + 2. Give j(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0515 + -0.071. Round b to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393336 and 42873624?\nAnswer: 42873624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-115))\/((-15)\/(1575\/98))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 1234*n - 1227*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -1\/4*b**3 - 34*b + 0 + 0*b**2 + 0*b**4 + 3\/40*b**5. Factor n(t).\nAnswer: 3*t*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - (2 + -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 30\/120 - 387\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 c when four letters picked without replacement from {a: 4, c: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -352782 and 30.\nAnswer: -10583460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/15)\/((-3060)\/51*28\/175)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*f + 7*f**2 - 9*f**2 + 0 + f**2 - 60*f + 2 as m*f + a*f**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -295 - -704.8.\nAnswer: 409.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6149129267 to the nearest integer?\nAnswer: 78416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(12) - (sqrt(12) - sqrt(48)\/sqrt(4))))\/(sqrt(864) + sqrt(864)*-2).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 97\/9, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j. Let d(y) = -3*y - 2. Let i(u) = -d(u) + r(u). What is the remainder when 32 is divided by i(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/9)\/(16\/(-240))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -ce9adc (base 15) in base 7?\nAnswer: -146521050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -88. Let i = u + 34. Let b be (4 - 78\/i) + 120\/(-28). What is the second smallest value in -6, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -3364?\nAnswer: -3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15356.\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/79452 and 193\/30456600.\nAnswer: 91369800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-4 - 2 + 4)*(-388*o**3 - 1097*o**3 - 214*o**3 + (7 - 4 - 1)*(0*o**3 - o**3 + 3*o**3) - o + 2*o**3 + o + 5*o**3 - 5*o**3 - 2*o**3).\nAnswer: 6780*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a8a942 + 5?\nAnswer: -3a8a938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*j - 70, -146 + 118 = 63*p - 2*j. Solve 5\/4*g**2 - 15\/4*g**5 + p*g - 5\/4*g**4 + 15\/4*g**3 + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 35*f**2 - 73*f + 39. Let d be k(-37). What is the nearest to 24 in 3, d, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 85, 0, -1 in increasing order.\nAnswer: -1, 0, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - m + 4. Give c(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 18*w - 328*w - 9019 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5019203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cte when three letters picked without replacement from {o: 1, y: 12, e: 1, c: 3, t: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/4 + 43*y**3\/6 + 5*y**2 - 197*y. Let g be c(14). Calculate the greatest common factor of g and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530 by -1.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2 + (-6 - -12). Solve -r - 4 = -d*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, d: 2}. What is prob of picking 2 q?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 6. Calculate the remainder when 36\/(-42) - (-13)\/((-819)\/(-1251)) is divided by d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8986 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 16*z**4 - 4*z**3\/3 - 387*z**2 + 263. Find the second derivative of k(a) wrt a.\nAnswer: 384*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967 - 967 + 0*j - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(3\/(-6) - 3). Let u(a) = -a - 5. Let c be u(q). Solve -11 = -3*w - 0*n - 2*n, 0 = -c*w + 4*n - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109358639*a**2 + 54864354*a?\nAnswer: 218717278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3032, -3248, -3464, -3680, -3896, -4112?\n\"Answer: -216*u - 2816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -469.54486 rounded to zero dps?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 1, l: 3}. What is prob of picking 2 s and 1 l?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3165551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 1 - (-900 + 30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-16)*y)\/y)\/y)\/(y\/y**(-5)))**36 assuming y is positive.\nAnswer: y**(-828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Suppose 31 = 2*j + u*x, 2*x = j - 0 - 2. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1208 divided by -254.\nAnswer: -604\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = j + 4*j + 4*h, 2*j - 60 = 4*h. Let x be 4\/(-22) + (-112)\/(-374) + (-182)\/1547. Solve x = -19*u + 23*u + j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11315\/(-10)*(-1 - 1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/23)\/a)**(21\/8) assuming a is positive.\nAnswer: a**(-273\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y + 4*y)*(y**2 + 5 - 5 + (-3*y + 0*y + 5*y)*(-2*y + 3*y - 2*y) - 4*y**2 + 4*y**2 - 2*y**2) in the form l + k*y**2 + s*y**3 + a*y and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -10220021?\nAnswer: 10212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 10*w + 17. Let y be t(-6). Solve -l - y*u + 0*u = 8, 3*l = -5*u - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10497777 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668 is divided by 610?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mempeqpqeemeueqpmu. What is prob of picking 1 u and 1 p?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 42*n - 9. Solve n = 3*f, -2*u - 4*f - 2 = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, c: 3, j: 2}. What is prob of sequence cf?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/((-5)\/(-15)). Let v = 276 - 271. Suppose -v*q + 4*r = -55, 0 = 3*q + 9*r - 6*r - 6. Solve 0 = u + 5*a - 12, -1 + q = u + g*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 11, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5 - (-1360)\/270))\/1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -39*m**2\/2 + 177. Let o(r) = 8*r. Determine n(o(i)).\nAnswer: -312*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*s - 17 - 298 + 63 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2249 = -5*r + 6*z, 1810 = 4*r + 2*z. List the prime factors of 18\/27*(-18)\/(-4) + r.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 36 - ((20 - 17) + -11)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:15 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -4. Let u(i) = i**3 + 9*i**2 + 9*i + 8. Let h be u(a). Which is greater: 2\/5 or h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2.1. Let g = -19 + 9. Let x = g - -9.9. What is the nearest to x in 2\/13, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 9505367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2. Let k(d) be the third derivative of 13*d**4\/6 + d**3\/6 - 289*d**2. Give k(n(t)).\nAnswer: 312*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005803 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*h + 10385 + 11250 = 1325 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 553*o - 556*o + 9, 5*o + 11 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2. Let t(n) = 3*n**2 - 16*n. Give t(h(b)).\nAnswer: 108*b**4 + 96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65582, -65597, -65608, -65615, -65618, -65617, -65612?\nAnswer: -65603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 9. Suppose -h - w = 3*h. Sort -1, 4, h in decreasing order.\nAnswer: 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w**2 + 7*w + 55. Let h be j(-23). Let s = 20969 - h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5053594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1050*u - 23140. What is n(22)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3. Let h(p) = -3*p + 130. Let y be h(41). Let a(m) = -2*m**3 + 13*m**2 + 7*m + 2. Let v be a(y). What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -5*b**4\/6 - 6*b. Let k(v) = -4*v**2. Calculate k(a(g)).\nAnswer: -400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 338, 979, 2220, 4361, 7702, 12543, 19184, 27925?\n\"Answer: 50*y**3 + 291*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36b2 + -5?\nAnswer: 36a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -29441.\nAnswer: -29440.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 341 + -344. Let t be (-12)\/(-18)*78\/(-4). Let j be (4\/8)\/(t\/(-4)). Which is the third smallest value? (a) 4\/5 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43755, -40361, -36967, -33573, -30179?\nAnswer: -26785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2206806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20689\/5 + 4137. Suppose 4*i = 5*j - 24, -4*i - j = -3*j + 12. What is the fourth biggest value in 4\/9, 3, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-6)*(3 + 0). Let f = 151 - 151. Suppose -4*v + 12 = 20. Sort o, v, f in descending order.\nAnswer: o, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.479306747 rounded to 2 decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2238 = 3*p + 330, -1906 = -3*p + a. Suppose 12*k = -155 + p. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4.0004. Let h = 0 + i. Round h to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) -34.578 (c) 0 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = -296 + 100. Let d be ((-2)\/4)\/(o\/(-70)). Sort -4, 10, d in descending order.\nAnswer: 10, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*i + 2, 10*i - f = 14*i + 2. Let q be i + ((-20)\/110 - 156\/(-11)). Solve v - 3*l = 9, 2 = -3*v + l + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9.000014. What is r rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*s + 3*p + 32, 2*p + 1 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**3 + 25*r**2 + 8*r - 46. Give q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 1\/5*d**6 + 0 + 0*d**2 - 150*d + 1\/12*d**4 - 25\/3*d**3 + 0*d**5. What is the third derivative of r(t) wrt t?\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6695 + 3367 = 39*w. Calculate the lowest common multiple of w and 516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -5 + sqrt(11) + 5*sqrt(11) + -1 + (sqrt(11) - -4*sqrt(11)).\nAnswer: -6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 911, -7, 0.1323 in ascending order.\nAnswer: -7, 0.1323, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1985753ug to grams.\nAnswer: 0.0000001985753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183872*w + 17575.\nAnswer: -183872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*q + 12 = 0, 8*f - 5*q + 15 = 11*f. Are -4\/1003 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 336?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 5\/2*p**4 - 8*p**2 + 9*p + 203\/6*p**3. Differentiate b(t) with respect to t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 + 2*u + 2. Let w(c) = 8*c**3 + 23*c**2 - 46*c + 5. Determine 6*h(q) - w(q).\nAnswer: -2*q**3 + q**2 + 58*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 + -111. Solve -d - a*d - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1047 - -4209\/4. Let u(r) = 3*r**2 - 2*r**2 - 4*r**3 + 3*r**3 - 6*r**2 + 6*r + 5. Let t be u(-6). Which is bigger: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 1146140280*s + 65681877071923920.\nAnswer: 5*(s + 114614028)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 s when three letters picked without replacement from yyyyyyysyly?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2871 = 5*l + 5*m - 2314, 4*m = -3*l + 3106. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 2686*j**3\/3 - 3*j**2\/2 - 5*j - 10. Let r be c(-2). Suppose n = 6*n - r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.67 + 102.39\nAnswer: 104.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - p**2 + 3*p**2 - 4*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6507*t**6 + 7428*t**2?\nAnswer: 780840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 1. Let z(u) = -3*u + 10. Let r be z(4). Give f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-16)\/240*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 669915 * 342.\nAnswer: 229110930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 101*c + 1319. Calculate b(-22).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f - 58. Suppose -47*s = -44*s + 15. Let l be n(s). Solve 3*h + 6 = 3, -l*c + 2*h + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (14\/(-4))\/((-4)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -4, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*(120\/150)\/(3\/15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*r**2 + r - 2207?\nAnswer: -186*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87696 and 27776?\nAnswer: 21748608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 34*j**2. Let q(u) = 14*u**2 + 3. What is q(c(g))?\nAnswer: 16184*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/3 - 818644*s**2\/3 + 12553952*s = 0.\nAnswer: -409368, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let q(r) = -x*r - 5*r**2 + 3*r + r. Let i(u) be the second derivative of -u**3\/2 + 5*u. Give q(i(h)).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7 = -5*k, -3*k + 3 = -29*x + 32*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, -3\/4, -47\/324?\nAnswer: -47\/324","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98790 or -5.22?\nAnswer: -5.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/4528 + -5965\/2168912. Is a not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 134*k**2 - 103*k**2 - 7 - 13.\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6366*u - 6366*u + 0*q - 3*q + q = -28, 16*u + 5*q = q + 136 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 + 1 + 2 + 3 + 2*z**2 + 12*z. Let i be k(-6). Suppose -2*h = -8, y + y = -i*h + 232. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*f + 1142 = -f, 5*r = 3*f + 1121. Let k be (3 + 0)\/(-6)*-6. Suppose 2*p - r = -z, -k*z = -5*p + 410 + 166. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let s(q) = -q**2 - 9*q. Let x(m) = -6*l(m) - s(m). Determine x(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + -26 + -10 - -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmmymmmmmmmymmmyy. What is prob of sequence myy?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, i: 10}. What is prob of sequence ioo?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 - 66 = 0. Let n = -5 + m. Suppose -g + n = -3. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4764288 to the nearest integer?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.854 - -42. Let j = x - -12.854. Is 0 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.56 + 0.06. Let l = 1 + w. Let i = -603\/8 - -75. Which is the third smallest value? (a) l (b) -1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408233a (base 11) in base 10?\nAnswer: -7206440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27174 - -1827. Suppose -2*k = k + 2*o - 17398, -5*k = -o - q. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21742506 - -2?\nAnswer: 21742508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -441?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 3 + -7 + 1 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -136 and -4?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(2\/3))*g))**(-8\/11)\/(g*g**(1\/2)*g)**48 assuming g is positive.\nAnswer: g**(-3944\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n**3 + n**2 + n - 1. Let u be q(1). Let i be (-27)\/(-2)*(7 + u). Suppose 5*w - i = 819. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -4, -6866\/61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x**3 - 4*x**2 + 21*x - 5. Let s(n) = -23*n**3 - 6*n**2 + 42*n - 8. Calculate -3*s(h) + 5*z(h).\nAnswer: -h**3 - 2*h**2 - 21*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j**3 + j + (-7 - 34 - 20)*(8*j - 6*j**3 - 8*j).\nAnswer: 367*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 212864279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2141401207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 1f3cb?\nAnswer: -1f3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 3, z: 3, u: 1, t: 5, i: 1}. What is prob of picking 1 u, 1 z, and 1 v?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*t**4 - 64*t**3 - 7*t**2 - 53*t.\nAnswer: 144*t - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735)*-3 - sqrt(735))*4)\/(sqrt(80) - 2*sqrt(80) - (sqrt(5) + 1*sqrt(245))).\nAnswer: 28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3916549?\nAnswer: 7, 13, 193, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/18 - (-4)\/(-18). Differentiate x - 2883*s**3 + 2883*s**3 - 23*s**4 wrt s.\nAnswer: -92*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 8*o + 9. Let h be g(-9). Solve 7*j + 5 + 9 = h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.1, 0.177, -3\/2?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 + 24*l + 18. Let q be h(-5). Let v(y) = -15*y**2 + 2*y. Let f(z) = 46*z**2 - 7*z. What is q*f(i) - 7*v(i)?\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -f + 11, -4*t - 20 = 4*f. Suppose f = d - 0*d - r + 5, -3*d + 5*r - 21 = 0. Which is smaller: d or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3890.36 kilograms to grams.\nAnswer: 3890360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/126*1\/(-2). Let o be (708\/(-2520))\/(2\/5*-3). Let b = x + o. Find the common denominator of -42\/11 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -347 + 345.6. What is the fourth biggest value in -4, 0.3, 4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1883*c*f**3*i*z - 76*c*f**2*i - 31*c*f*z + c*i + 7*f**3*i + 2*f**3*z - 4*f**2*i*z - 2*f**2 + 2*i*z wrt f.\nAnswer: 11298*c*i*z + 42*i + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 236.9.\nAnswer: -237.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -5, 8.77, -3, -0.092 in ascending order.\nAnswer: -5, -3, -0.092, 8.77, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1216*k**2 - 4*k + 1581. Let t(a) = -1217*a**2 + 3*a - 1599. Let c(d) = 3*h(d) + 4*t(d). What is the first derivative of c(q) wrt q?\nAnswer: -2440*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/50 + (-9056)\/(-20). Let r = f - 124. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 8951100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -17. Let s = -9 + o. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 - 61*z**2 - 45*z + 159. What is r(-19)?\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3 + 269*p**2*z**2 - 31*p*z**2 + 3*p wrt p?\nAnswer: -18*p + 538*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*o = -6, -5*c + 1 = 2*o - 5*o. Let x(g) = 6*g**2 + g + 2. What is the remainder when 11 is divided by x(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -374 times -8.2\nAnswer: 3066.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*h - 141*h - 146 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-21) + 0)\/(2\/90). What is the highest common factor of 270 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -24. Let r be (i\/12)\/((-91)\/(-56)). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose 0*q - n = -q. What is the lowest common multiple of 2 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + l - 94026 = -6664, 4*v - 87352 = 4*l. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -6.15. Let v = -5.9 + s. Sort v, -6\/7, 2\/7 in decreasing order.\nAnswer: 2\/7, v, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.03, 5, 8, 11.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-18)\/d*d\/d**(-20)*d*(d*(d**(-4\/3)*d)\/d)\/d**1 assuming d is positive.\nAnswer: d**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from lllllkllcklbikbllq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 16*l - 19*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17*q*q**(-18)*q)**(-13) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 0.4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 + 9130*t**3 - 23*t**2 + 37*t**2.\nAnswer: 9130*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 12 - 6. Let f = -27 - -33. Let a be (-1)\/(-3) - (-42)\/9. Solve -g*l = -a*l + f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 9*j**2 - 9*j + 2. Give b(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -110*t**2 - 2206*t + 60. Calculate q(-20).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 5)*(0 + 0 + f) + 5*f - 4*f - 2*f + f + 7*f - 4*f)*(f - 2*f + 3*f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 12 - 12)*(3*c - 15*c - 4 + 1).\nAnswer: 24*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 3, r: 2, u: 9, s: 1}. Give prob of picking 2 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 711.\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 - 4*w - 1. Let r(f) = -7*f**2 + 9*f + 3. Let t(p) = -9*d(p) - 4*r(p). Let s(v) = 2*v**2. Calculate t(s(l)).\nAnswer: -32*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-11\/7))**(-6\/19)\/(u**(-2\/3)\/u**(-22)) assuming u is positive.\nAnswer: u**(-8836\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 29 - 23 - (1 + -19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 - 36*a - 64 = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + 0*h**2 + 2*h**2)*((-2*h - h + 5*h)*(3 - 3 + 2) + 4*h - 7*h + h) to the form y*h**3 + a + k*h**2 + o*h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - u - 1. Let m(q) = -7*q**3 - 5*q**2 - 6*q - 4. Let a(l) = 6*l**3 + 5*l**2 + 6*l + 5. Let v(o) = 4*a(o) + 3*m(o). What is 6*h(p) + v(p)?\nAnswer: 3*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162051365 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64509 is divided by 378.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 5*p)*(-5 - 9 + 1)*(20 + 1 - 11) to the form d*p + b and give d.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44bb7 (base 12) to base 9.\nAnswer: 148554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -40 - (3 + (1 - -4) - -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2639 - -2641. Solve 7 - 18 = 3*u - c*r, -8 = -4*u - 3*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -23*m - 1. Suppose -47 = -5*v + 23. Suppose -71 = -v*y + 83. Suppose -9*c - 2 = -y. Determine g(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 8*t**2 + 9*t + 4. Let d be h(-9). What is the highest common divisor of 92 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2673 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-9\/8)*x*(x**3*x)\/x assuming x is positive.\nAnswer: x**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 - 49. Let x(g) = -5*g**3 + 2*g**2 + 3*g + 2. What is the smallest common multiple of 2\/(-7) - (-258)\/b and x(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 divided by -4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3 + 4. Suppose -l*u + 45 = -2*u. Let z(b) = b - 4. Let x be z(u). Let m(h) = h**3 - 4*h**2 - 6*h - 5. Determine m(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89730729.\nAnswer: 3, 11, 906371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2189 divided by -24457\nAnswer: 2189\/24457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23437928 is divided by 654.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 22.3, 198.84, 2\/9?\nAnswer: 198.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 7*f + 315. Let u be 194\/14 - 15\/f. Suppose 3*w = -0*w - 9, 4*d + w = 109. What is the greatest common factor of d and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96226*z**2 + z**3 + 3*z - 5*z + 95768*z**2 to u*z + v + i*z**3 + j*z**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -957556*d*o**2 + 2*d*o - 5*o**2 + 154736*o - 26 wrt o.\nAnswer: -1915112*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*q - 15, a + 6 = q - 3*q. Solve a*b - 5 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1991992725 - -0.1992. What is h rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1104, -1984, -2864, -3744, -4624?\n\"Answer: -880*d - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -0.12 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.1 (c) 0.76 (d) 4 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 177. What is m(-38)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(2016) + sqrt(2016))\/(sqrt(77)\/((sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99)*-1 - sqrt(99))))) + sqrt(99))).\nAnswer: -504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = h. Let f be 1 + h + 8 + -1. Solve -f*k + 16 = -0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 4*r + 0*r)*(-5 + 2 + 2) - 3*r - r + 3*r + (3 - 4 + 2)*(-3*r + 2*r - r) + 3*r - 3*r + 2*r + 5*r - 2*r + 5*r - 6*r + 0*r + 4*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 111, 124, 137, 150, 163?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*m**5 - 10*m + 1?\nAnswer: 1460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + r**2 + 2*r - 1. Let b be g(-2). Let v = b + -77\/5. What is the nearest to v in 5, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -18. Suppose -5*r = -3*r + g, r = 4*k - 10. Factor 5*c**2 - 8*c + 6 - 4*c**2 + c**k.\nAnswer: 2*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -321*c**3 - 15*c**2 + 5*c - 9. Let q(d) = 480*d**3 + 21*d**2 - 7*d + 14. Determine -5*q(x) - 7*t(x).\nAnswer: -153*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rvvvrdkvav.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-1280))\/((42\/(-48))\/7)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/7 (b) 10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 3*25\/(-15) + 8471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 0 + 118 + 3*(-8)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27\/2 + 33\/4*z + 3\/4*z**2 = 0 for z.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**2 - z**4 + 2*z**6 + 6*z**6 + z**4 wrt z.\nAnswer: 960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3 + 24*l**2 - 489*l - 510 = 0.\nAnswer: -17, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x - 3*x - 2*x. Suppose 3*s + 4 = 16. Suppose 4*r = -s, r - 5*r = -2*c + 2. Determine h(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + 65\/((-270)\/(-54))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 12, 73260 + 31730 = 4*y - 5*f. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 565350085 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*1 + (-2)\/(-2). Let m be 2 + -1 - (a + -1). Put 1, 4, m in ascending order.\nAnswer: m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:05 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66.7 + 67. Sort x, 1\/6, -4, 5 in descending order.\nAnswer: 5, x, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -61*k**3 + 11*k**2 - 2*k + 11 + 60*k**3 + 3*k. What is the units digit of i(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5552 - 5.5552. Which is the third smallest value? (a) -0.4 (b) w (c) -2\/7 (d) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85266294, -341065162, -767396608, -1364260632, -2131657234, -3069586414, -4178048172?\n\"Answer: -85266289*l**2 - l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h*h*h\/(h\/h**(-4\/3)*h)))\/(h*h**(-2\/3))**(-21) assuming h is positive.\nAnswer: h**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 78804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44446)\/213 - -219)*2*3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.013 - -0.013. Is i at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-392)*-14)\/(-2*4\/(-1440))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8980.\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*m + 4, 0 = 4*m - 4. Let v = l - -11. Let u be v\/2 + 2 - (2 - 2). Which is the second biggest value? (a) -5 (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 6217*m**2 + 6216*m.\nAnswer: m*(m - 6216)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1565223 or 0.1?\nAnswer: 0.1565223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(343) + (sqrt(343) - -2*(sqrt(343) - (-4 + sqrt(343) + sqrt(343)))))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3444 is divided by 687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 14*l**2 - 6*l + 11. Determine s(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/((-1430)\/(-117) - 12). Solve 3*d + 4*n + 12 = -d, n + 5 = -i*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -4, -1, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2983665 and 6564063.\nAnswer: 32820315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 19 = -2*m. Suppose -2*c - c + 12 = -3*x, m = 4*c + x. Let h(a) = 2*a**c - a**3 + a**2 - 3 + 10 - a - 2*a**2. Determine h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 12*g + 7*g)*((0*g + 2*g - 3*g)*(-2 + 0 + 3) + 2*g + 1 - 1).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 15*t - 194. What is the hundreds digit of a(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 86 = -34. Suppose 0 = u - 23 - o. Let p = -9 + u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*235593295.\nAnswer: 942373180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and 72.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -10\/3. Let z = -828 - -19041\/23. What is the third biggest value in z, 1\/3, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1881 + j + 3767 - 1901)*(-2*j**3 - 3*j**3 + j**3) to the form w + t*j**4 + q*j + o*j**2 + m*j**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)**(6\/13)\/((w**(2\/7)\/w)\/w**16) assuming w is positive.\nAnswer: w**(1605\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3864*x**2 + 3870*x**2 + 1469 - 7735*x**2.\nAnswer: -x**2 + 1469","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 1. Let o be b(-5). Let y = 362 - 348. Let u = y + o. Which is smaller: -5\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = c - 37, -5*c + 16187 = 2*v + 16222 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.166245 to 1 dp.\nAnswer: 220.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*z = 0, z - 5 - 16 = -5*a. Suppose 5*m - a*j + 205 + 255 = 0, 4*j = -3*m - 308. Let h = m - -114. What is the remainder when h is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/328)\/(19752\/1536 - 13). Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.987265 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/20)\/(((-15)\/300)\/((-18)\/15))*3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1070 and 427251?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 12*c + 11 = -2*n, 0 = -n - c + 7. Suppose -5*o = -2*g - 505, -n*g + 5*g = -2*o + 183. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-380) + 9\/30. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65)\/4*-4*1. Suppose -5*y + f + 45 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93375 by 25.\nAnswer: 3735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 + 3*z + 1. Let o be d(3). Sort -5, o, -1 in ascending order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + l + 3. Let k be (-9)\/(21\/(-3) - -4). Give d(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by -6\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.043 - -72.043. Let v = -106 - s. Let c = v - -185.7. Round c to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**4 + 31*n**3 + 11*n**2 - 24*n - 24. Let z(c) = -2*c**4 - 10*c**3 - 4*c**2 + 8*c + 8. Let f(o) = -2*i(o) - 7*z(o). Factor f(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 15*q**2 + 14*q - 27. Let t = 140 - 156. Does 2 divide u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**5 - 168*x**4 - 146*x**3 + 1724*x**2 + 1672*x - 5808 = 0.\nAnswer: -6, -11\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 131*c - 14541. Calculate v(111).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4442 or 4435?\nAnswer: 4435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.091\nAnswer: 1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 663900 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*d - 81 = 0, -2*v + 20995*d - 20996*d - 28 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and -20.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48 + 2\/18 + (-68)\/(-36). Suppose 4*h - 5*q = m, -4*q + 16 - 8 = 0. Calculate the lowest common multiple of h and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5 - 13, 3*a = m + 16. Suppose -g + 23 - 231 = -a*y, -5*y + 249 = -4*g. Is 53 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311083 and 986?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-10))\/(6\/40). Differentiate -32*f**3 + r*f**3 - 31*f**4 + 1 + 5*f**4 with respect to f.\nAnswer: -104*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(2\/5)*k)\/k)**(-24))**(2\/69)\/((k*k**(-2\/13)\/k*k\/(k**4*k*k)*k)\/((k\/((k\/k**(-2\/19)*k)\/k))\/((k\/(k**2*k))\/k))) assuming k is positive.\nAnswer: k**(152791\/28405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55797 (base 12) in base 15?\nAnswer: 2392d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-924)\/(-98))\/11)\/(1\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 4. Let s(h) = 4*h + 1. Let u be s(1). Calculate o(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:22 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6. Let v = -4 + 10. Let n(w) = -w**2 + 7. Let u(h) = v*n(h) + 7*d(h). Let b(y) = -y**2. Give u(b(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.68 and 1065?\nAnswer: -8179.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 1 - 7. Suppose k*n - 27 = -7. Solve 5 = n*q - 0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25186457?\nAnswer: 19, 113, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -178363*m**3 - 4 + 178358*m**3 - 25*m**2 + 6*m + 0. Let i(t) = -t**3 - 5*t**2 - 1. Let y(f) = 20*i(f) - 5*q(f). Factor y(j).\nAnswer: 5*j*(j - 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599770 rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-1)*y*y)**3)**(5\/8))**(-32))**(1\/62) assuming y is positive.\nAnswer: y**(-60\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 83637 = 2*g, 0 = -t - 232*g + 235*g + 27893. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let x be ((-6)\/72*-4)\/((-3)\/(-9)). Let z(u) = u**2 - 7*u. Determine x*z(w) - 4*s(w).\nAnswer: w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 4, 1.1, -2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14.5 (b) 22166 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6394 and 834.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 122*b + 5. Suppose -50 - 67 = -9*o. Suppose -s + o = 3*m, 2*s = s + 2*m - 7. What are the prime factors of f(s)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605534?\nAnswer: 2, 302767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(1053) + (-1 + (sqrt(1053) + 0 - sqrt(1053)) - sqrt(1053)) + sqrt(1053))**2 + -5.\nAnswer: -36*sqrt(13) + 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1\/1080*r**6 + 0*r - 2\/3*r**3 + 5 + 0*r**4 + 0*r**2 - 1\/360*r**5. Let d(b) be the third derivative of l(b). Factor d(i).\nAnswer: -i*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 divided by 1026?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607420 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5839.486 centuries to months.\nAnswer: 7007383.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8238 - 18831. What is v rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feef. What is prob of sequence eef?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17102 + 68409\/4. Let t = -0.2 - 0.3. What is the closest to 1 in j, t, -0.07?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z*z**0*z)\/z*z)\/z)**(8\/7)*z\/((z\/(z**(-4)\/z))\/z*z)*z*z**5 assuming z is positive.\nAnswer: z**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2798730*p + 4*p**2 - 2798730*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -27, 10, -0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -133, -312, -617, -1084, -1749?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*-2*2\/(-2). Let v(c) = -c + 1. Let f(g) = 10*g**2 - 20*g - 7. Let t(q) = -q**2 + 2*q + 1. Let s(p) = -f(p) - 8*t(p). What is x*v(k) - s(k)?\nAnswer: 2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123*n + 29192 - 29192 + (4 - 3 + 1)*(4 - n - 4) + (-2 - 2 + 0)*(2 - 3 + 3)*(5*n - n - 3*n) + 2*n - 4*n + 0*n + 1 - 1 - n.\nAnswer: -136*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159808377 is divided by 1951?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 111378.\nAnswer: 779646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 0, -2*a + 0*a - 22 = -4*h. Calculate the common denominator of (31 - -2)\/a + 63\/8 and 93\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 13*i + 21 + (-3*i + i + 6*i)*(-2 + 4 - 4))*(-21 - 10 - 4) in the form d*i + m and give d.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + -101341402?\nAnswer: -101341223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c. Let y(k) = -71*k - 15. Calculate j(y(i)).\nAnswer: 852*i + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342139494 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2692 (base 12) to base 10\nAnswer: -4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69459416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = q + 2*r, 2*q - r + 0 = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 59664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 - 6*z - 3. Let q be m(-4). Let n be 36\/(-162) - 411\/(-27). Solve q*y - n = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6460*i + 6510. What is the thousands digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 - 3. Let k(s) = 27*s**2 + 10*s + 5. Let m(n) = 26*n**2 + 8*n + 4. Let w(f) = 4*k(f) - 5*m(f). Give w(g(t)).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79654237*y**2 + 14438792*y + 1 wrt y?\nAnswer: 159308474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6685 + -46799\/7. Which is the closest to -3? (a) -4 (b) v (c) -5 (d) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/10)\/((-10)\/(-250)). Let c be ((-2)\/(-4))\/(5\/b). Is 3*c - (-968)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8458096*g**3*n - 638*g**2 + 3*g*n - 2*g + 2*n + 90 wrt g?\nAnswer: 50748576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w + 4*w**2 - 5\/3*w**3 + 1\/15*w**6 + 23\/30*w**5 + 7\/6*w**4 - 8. Suppose v(d) = 0. What is d?\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 3*w**5\/20 - 247*w**4\/24 + 18*w**3 - 4091*w**2 - 2*w. Let u(t) = 0. What is t?\nAnswer: 4\/9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17433028*0.1\nAnswer: 1743302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.089, 0.01, 186\/3433?\nAnswer: 186\/3433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 8*j**5\/5 + j**2\/2 - 1. Find the second derivative of l(r) wrt r.\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + 38\/8. Suppose -2*j + 3*j + 10 = 3*h, h - t*j - 22 = 0. Suppose -9 + 1 = -h*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let n be t + (3 - 42\/8). What is the third smallest value in n, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.9 + 20.7. Let d = 19 + 10. Let l = d + s. Which is the closest to 4? (a) 2\/5 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 27*m - 9*m + 288480. What are the prime factors of m?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2\/4 - 1\/(-4)*158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122423, 122434, 122451, 122474, 122503, 122538, 122579?\nAnswer: 122626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.07, 2\/5, -1734.31, 9, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 36 = -0*r. Let o = 2 + 8. Let q = r - o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j*j**(-3)*j))*j**(-1\/7)\/j)\/(j**8\/j**(1\/12)))**(5\/13) assuming j is positive.\nAnswer: j**(-4645\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3636446367 and 21733?\nAnswer: 3636468100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6175.7621 to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 1 - 1 = -2*k - 0*k - 4, k + 9 = -9*x + 51 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 135 = -9*l, 5*y - 5*l + 1175 = 1250 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9599 + 10859. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -1\/6, -3\/7, -2, -0.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 38, 102, 222, 416, 702, 1098, 1622?\n\"Answer: 3*h**3 + h**2 + 2*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**3 - 105*z**2 - 69*z + 24.\nAnswer: -3*(z + 1)*(z + 8)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13090 less than -127414?\nAnswer: -114324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, i: 3}. Give prob of sequence si.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121949 to the power of 1\/2, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 7) to base 15\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 1695637*h - 1695636.\nAnswer: -(h + 1)*(h + 1695636)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - 1807\/11. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 769, 6257, 21125, 50059, 97745, 168869, 268117, 400175?\n\"Answer: 781*n**3 + 4*n**2 + 9*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007430375 to 5 decimal places.\nAnswer: 0.00743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -391177.\nAnswer: 108\/391177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 816?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1852 + -68868.\nAnswer: -67016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015152 is divided by 1005.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4 + 10254*a**3 - 51324*a**2 + 71874*a - 30807 = 0.\nAnswer: -3423, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3, -v - 2*m = -m - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1654 or 36?\nAnswer: 1654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*(-5 - -7). Is c\/(-2)*(-5 - 5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*c + 2142 = 18990 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*k + 3*i - 11, -16 = 4*k - 4*i. Let z(f) = 5*f**3 - f. Let h be z(k). Let t = -2 - 1. Sort h, t, -5.\nAnswer: -5, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -323\/980, 4, 1 in descending order.\nAnswer: 8, 4, 1, -323\/980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from epcuueaaaapaae?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 43 + 87 - 2*b**2 - 46 - b + 4*b**2 + 2*b**3 to the form j*b**2 + f + r*b**3 + q*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i - 10. Let o be (8 - 4)*(-9)\/(-6). Let r be 28\/21 + 28\/o. Let c(s) = -5*s + 9. What is r*k(u) + 7*c(u)?\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1, -3, 31 in descending order.\nAnswer: 66, 31, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 3*i. Suppose 26 = -4*g - i. Which is bigger: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 + 4 = 0, m + 5*s = 27. Suppose -3*q + q = b - m, -2*b = -6. Is 24 a factor of 2 - (5 - q) - -67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 7*g**2 - 2*g + 10. Calculate m(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*(i\/((i*i*((i\/(i*i**(-1)*i))\/i)\/i*i)\/i))\/i*i**(-3\/5)\/(i\/(i\/(i\/(i\/(i\/(i\/(i**0\/i))))))) assuming i is positive.\nAnswer: i**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -5, 4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*(-58)\/29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 17*g - 32. Let r be f(-21). Let o = 50 - r. Let v = o + 2. Which is bigger: v or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, w: 1, j: 4, e: 4}. Give prob of sequence wa.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 6. Calculate o(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, 73, 1.19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + -3)) + (-88 - -82).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (12 - 34) + (1 - 10) + 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 3, 3\/4, -31\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/2128 or 1?\nAnswer: -39\/2128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -186*b + 179*b. Suppose -b*u = 2*f - 4936, 7*u = 9*u - f - 2460. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 9*h**2 - h - 8. Let u be o(-9). Let p(i) = -5*i - 2. Let k(d) = -d. Give u*p(z) - 3*k(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/5 + 11\/10. Let p = 431\/2 + -225. Let g = p + 9. Is u greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2293 in decreasing order.\nAnswer: 3, 1, -2293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/276)\/((-56)\/(-5604)). Let f = -2\/161 - y. Which is the closest to -1\/4? (a) -1\/3 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1031\nAnswer: 412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**3\/3 + 858*x**2 - 6128*x\/3 + 680 = 0. Calculate x.\nAnswer: 2\/5, 2, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4 + 55*p**3 - 65*p**2 - 55*p + 60 = 0 for p.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 34 = -16*u + 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38ef + 1a1?\nAnswer: 3a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564))**2*4.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8476, -8450, -8412, -8356, -8276, -8166, -8020, -7832?\n\"Answer: q**3 + 19*q - 8496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31284 by -11.\nAnswer: -2844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-6)\/486). Suppose v + 2*v = k. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*u**2*w + 26*a*u*w - 2*a*u + 60*a + 3*u**2*w + u**2 wrt w.\nAnswer: -2*a*u**2 + 26*a*u + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 14. Let s be (-4)\/(0 - -3*(-10)\/u). Let q(l) = 45*l**2 - 18. Let r(a) = -13*a**2 + 5. Determine s*r(y) + 5*q(y).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -3 (c) -0.134 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4\/(-3) + 1. Let k = -610 + 606. Which is the nearest to m? (a) -4\/7 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.9. Let g = -4.1 - c. Suppose -3 = -q - 2*q. What is the closest to -1 in g, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/5164430 and 37\/46479870.\nAnswer: 46479870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8934, 17917, 26882, 35823, 44734, 53609, 62442?\n\"Answer: -y**3 - 3*y**2 + 8999*y - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.8 - -51.3. Put p, 3\/13, 1, -3\/2, -11 in ascending order.\nAnswer: -11, -3\/2, 3\/13, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88126923?\nAnswer: 3, 29375641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2. Let i(z) = 6*z**2 - 7*z**2 - 2*z**2 + 2*z**2. Let o(s) = 12*i(s) - 3*r(s). Let a(y) = -y**2. What is a(o(g))?\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-22\/3)\/(s*(s**5\/s)\/s)*s**(2\/17)*s*s**(-3\/14) assuming s is positive.\nAnswer: s**(-7447\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-9)\/2)\/(20\/336). Let j be 18\/(-15)*140\/r. Which is the second smallest value? (a) 1\/4 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -51*z**2 - 433*z + 1430. Determine j(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1*1 + -52*(-18)\/1. Calculate the greatest common factor of y and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 - 8. Let l(z) = z**2 - 1. Let q(m) = -30*l(m) + 5*u(m). What is the first derivative of q(b) wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(112) + -1 - (sqrt(112) + (1*sqrt(112)*3 - sqrt(112)))**2).\nAnswer: -3021 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -2, -13\/343, 1?\nAnswer: -13\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 513889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1456, 1456, 1454, 1450, 1444, 1436, 1426?\n\"Answer: -f**2 + 3*f + 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*w - 18 - 2, w + 4*x + 8 = 0. Suppose 4*c + 28 - 80 = -2*t, 4*c + w = 0. What is the highest common divisor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1*6 - (sqrt(171) - (sqrt(171) - sqrt(171)*2*-4)))*-3)\/(-1*(sqrt(729) + (sqrt(729) - sqrt(729)*-3*1))).\nAnswer: 2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 286*n**2 - 20299*n + 256564.\nAnswer: (n - 343)*(n - 11)*(n + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*p + 27 = 4*o, 4*o - 24 = -4*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-7)*r)\/r)\/r**3*(r**(2\/7))**(-1\/11) assuming r is positive.\nAnswer: r**(-695\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/240 + l**5\/120 - l**4\/24 - 219*l**2 + 3. What is f in k(f) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*7\/((-175)\/20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k + 6*k)*(-7 - 13 + 1)*(-3 + 1 + 0).\nAnswer: 228*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8\/319, 0.1.\nAnswer: 8\/319, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 457894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**3 + 3446*n**2 + 391269*n + 111510.\nAnswer: (n + 177)*(n + 315)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z**3 - 19*z**2 + 74*z - 401. Is q(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/j**(-3\/10))*j))\/j**(-12))\/((j*j**(-2\/5)\/j*j)\/((j*(j*j\/(j\/j**(-8)))\/j)\/j)))**22 assuming j is positive.\nAnswer: j**(407\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/27)\/((-5)\/45). Suppose 5*j = n - 357, 2*j = -w*n - 24 - 126. Let o = j + 87. Solve -4*c = 3 - o, -4*t - 4*c + 16 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h + 36 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/13 (b) -1\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 157845 = -5*r, -69888 = -2*r - 5*t - 6769. Let h = 44915 - r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-337)\/(-6) + 8\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833 and 1305311.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -141. Which is the closest to i? (a) 0 (b) -1 (c) 2\/5 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9321 + -2.93062805. What is y rounded to five dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 64 = -2*m + 4*l, -3*l - 12 = 0. What is the remainder when 674\/8 - m\/(-32) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 5*p + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83940934 rounded to four dps?\nAnswer: 0.8394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21052494*p**2 + 2214402*p**2 + 2602431*p**2.\nAnswer: -16235661*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -21366, 7 in ascending order.\nAnswer: -21366, 7, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 - -206. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858166223.\nAnswer: 6991, 122753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7, f: 1, e: 1, r: 9, q: 2}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 23 = 3*q, 0 = -5*q - 4*s + 37 + 4. Suppose 2*i - q = -3. What is the units digit of i*6\/(-9) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:58 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23639 - 1 - (473 + -463). Calculate the greatest common factor of 66 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2614300 is divided by 269.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 226*o**2 + o + 4. Let g(w) = 225*w**2 + 3. Calculate -4*g(k) + 3*p(k).\nAnswer: -222*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42428 + -22529. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/7*y - 6 - 3\/7*y**2.\nAnswer: -3*(y - 14)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 + 10 = 5*c, -5*c = -5*u - 25. Let v be (-2)\/u + (-5)\/3. Suppose -h = 4*w - 17, -10 = -3*h - 2*w + 11. Sort v, -5, h in descending order.\nAnswer: h, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 468 = -16*k. Put -3, 0.4, k in descending order.\nAnswer: k, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1568 + -149?\nAnswer: -1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.1061\nAnswer: 0.03183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.395516 and -0.3.\nAnswer: -0.1186548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 0.6 (c) -142 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 1 + 0)*(1848 - 1842 + 3*j**2 + 5*j**2).\nAnswer: -8*j**3 + 8*j**2 - 6*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (60\/(-400))\/((-105)\/25 - -4). Sort 0.4, 0.064, -1\/11, -3, j.\nAnswer: -3, -1\/11, 0.064, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196001 is divided by 3524.\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (525 - 4451*f - 1451*f - 259 - 266)*(-2*f + 2*f - 2*f) in the form t*f + h*f**2 + p and give h.\nAnswer: 11804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + q + 14, -57*h - 4 = -59*h + 5*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260917873 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/154675518 and -43\/4.\nAnswer: 309351036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133558489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 8 = -15*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-198))\/((-16)\/24)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575\/150 - (-10)\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/5995885 and -44\/65?\nAnswer: 77946505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9 + 13\/15 + -1. Let a be 74\/(-72) - 35\/(-28). What is the second biggest value in -2, a, d, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378776*j + 378806*j - 600 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 + 3*w**2 - 12. Let t(d) = -d**3 + d**2 - 1. Calculate -b(n) + 3*t(n).\nAnswer: n**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**3 + 54969*m**2 - 50343369*m + 50288451. Let u(n) = -n**3 + 21988*n**2 - 20137348*n + 20115381. Let f(j) = 5*q(j) - 12*u(j). Factor f(g).\nAnswer: -3*(g - 1831)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*q + 235 = 6*q, 0 = a + 5*q - 90. Solve a = -2*g + 107 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77714?\nAnswer: 2, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -19*p**3 + 12*p**2 - 7*p. Let w(r) = -13*r**3 + 8*r**2 - 5*r. Let x(q) = 5*o(q) - 7*w(q). Determine g, given that x(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.093 + 14.907. Let s = -31.5 + y. Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6028 and 686870.\nAnswer: 2070226180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*u - 19, 1020*d + 10 = 1016*d + 2*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17400 - 17382. What is the greatest common factor of 8550 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*w**4 + 510*b*w**3 - b*w**2 - 2*b*w - 2*w**4 + 6*w**2 wrt w?\nAnswer: 24*b*w + 3060*b - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145c56 (base 16) in base 10?\nAnswer: 1334358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2086*i + 20 = -2088*i - 5*w, -4*i = 5*w. What is the greatest common divisor of 22970 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 - 9*c + 16. Let h be b(7). Solve 2*t + 3*t - m = -6, 0 = -h*t - 4*m + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -0.4 (c) 8\/13 (d) 3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 7*w + 26. Let z = 31 + w. Solve -z*g + 1 = -v - 4*g, 4*v + 4 = -4*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3032 and 10400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50134106 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -830 + 837. Suppose 3*w = 8*w + 10. Let c be (-7 - (-1 + w))\/(-1). Solve -c*k = -b*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4758*h**2 - 114193*h + 20. Give x(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153548500 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5909.992km?\nAnswer: 5909992000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16.2554 milligrams?\nAnswer: 16255.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122511 (base 6) to base 7\nAnswer: -44014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from fskslkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -2\/9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1500, 6080, 13692, 24318, 37940?\n\"Answer: -3*u**3 + 1534*u**2 - u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 148. Let i(w) = -3*w + 119. Let k be i(34). What is the greatest common factor of x and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2275 and 8407945.\nAnswer: 42039725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 2\/11 (c) -6681 (d) 7 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*l**2 - 6 + 214*l**2 + 1829*l**2 + l + 6 to the form j*l**2 + z*l + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -144, -316, -556, -864?\n\"Answer: -34*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(m - 5*m + 5*m + 33 - 33 + 67*m + (3*m + m - 3*m)*(0 - 2 + 0)).\nAnswer: 66*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14202415 (base 6) to base 13.\nAnswer: -13b929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 416\/39)*9*(-1)\/18\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1652411, -1652412, -1652419, -1652438, -1652475?\n\"Answer: -b**3 + 3*b**2 - 3*b - 1652410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/((-5)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -0.27719.\nAnswer: 17.72281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8597721 to the nearest integer?\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414 divided by 2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18853.3 + -18853. Which is the closest to -2? (a) x (b) -2.2 (c) 25 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1219*j + 413055 - 413055 to g + t*j and give t.\nAnswer: 1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 9*a - 7*a - 6*a - 3*a in the form b + m*a and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + 0.6. Let v = -36\/947 + -1548093\/6629. Let o = 233 + v. What is the second biggest value in o, -1\/3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453241\/10 - 54245. Let c = -8929 - s. What is the common denominator of c and -31\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6.22*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7588464*l - 15176932*l + 7588469*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 3 + 12 - 2*k**2)*(0 - 4 + 3) - k**2 + 3*k**2 + k**2.\nAnswer: k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 19*z**5\/4 - 3*z**4\/2 + 763*z**3 - 4217*z. What is the second derivative of x(i) wrt i?\nAnswer: 570*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23321?\nAnswer: 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 1, -4, -3 in increasing order.\nAnswer: -17, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -70*s. Let o(t) = 617657*t - 3. What is y(o(m))?\nAnswer: -43235990*m + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -16 - -26) + (2 - ((-1379)\/(-140) + 2))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*h = 10, -10*a + h = -6*a + 14. Let c(m) = -12*m - 9. Let j be c(6). What is the tens digit of j\/((-3)\/(7 + a))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104441 (base 6) to base 9\nAnswer: -13067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/40 (b) 0.1 (c) 2\/11 (d) -5 (e) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 4, 12, -1, -7.\nAnswer: -7, -1, 4, 12, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 293227049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 770754 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -203, -318, -451, -608, -795, -1018?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2535?\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 + 203.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 113. Let z(w) = -43 + 24 - k*w + 8 + 21. What is the smallest common multiple of 8 and z(-6)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (0 - -2) + ((-40139)\/3115 - (-10)\/(-14))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 107*-1.7\nAnswer: -181.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 825793477 to the power of 1\/2, to the nearest integer?\nAnswer: 28737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 0*o - o + 3)*(-6 + 1 - 48) as w + n*o and give n.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/12*-6*(-104)\/702 + 12 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130746 is divided by 43500?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*z + 12 - 228, -2*z = 5*v + 351. Let n = 111 - 181. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 9801. Let s(q) = -6*q. Determine x(s(o)).\nAnswer: -6*o + 9801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k**2 + 487 + 50*k**2 - 487 + 42*k**2 - 136*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140395777 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 3*s, -3*p = 3*s + s - 10. Solve -5*x + 13 = -p*q, -4*q = x + q + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69129, 69140, 69155, 69174?\n\"Answer: 2*f**2 + 5*f + 69122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 25*b + 2*b**2 - 9*b - 50*b.\nAnswer: 2*b**2 - 94*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 45) + 5 + -1 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 12. What is the first derivative of 4*h**4 - 4*h**2 - 6 + 11*h**2 - x*h**2 wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149 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: Which is the nearest to 0.8? (a) 5 (b) 865 (c) 12\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/((-20)\/(-60)). Suppose h - 1 = 4. Let b = h - o. Solve -7 = b*m + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p + 7. Let v be u(-7). Let y(s) = 15*s + 5. Let m be y(6). Let d = -67 + m. Calculate the highest common factor of d and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13046017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/31)*f**(4\/5)*((f\/(f*(f**(-5)*f)\/f)*f)\/f*f)\/(f*f**(3\/5)*f) assuming f is positive.\nAnswer: f**(661\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1132, -4217, -9372, -16609, -25940, -37377?\nAnswer: -50932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 14 + 7 - 14772*i**3 + 14771*i**3.\nAnswer: -i**3 + 3*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + -4 + 22 + 78 + -18 + 26?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4424068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = m - 2*n - 7, 0 = -136308*n + 136312*n + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(6\/(-2) - (-4 + 0)). Suppose -4*u + 14 = 2*g, -5*g - 30 = -5*u - 10*g. Sort i, -4, u.\nAnswer: -4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 0, 4 in decreasing order.\nAnswer: 4, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 330\/55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 9 + 12 + 19*r**2 - r**3 + 2*r**2 + 3*r**3 to the form s*r**2 + i*r**3 + q*r + o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10011100001011101?\nAnswer: 10011100001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1588486 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53, -58, -63?\n\"Answer: -5*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*r - 5*n, r + r - 3*n = 18. What is the smallest common multiple of 9 and 1\/(3\/2)*r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.93 + 0.07. Let r(f) = -3*f**3 + f**2 + 4*f + 2. Let p be r(-1). Let v = -0.2 + -0.1. Which is the closest to p? (a) t (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 80.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/((-2)\/(-8)) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*b + 15*b + 44*b)*(b**3 + 0*b**3 + b**3).\nAnswer: -446*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101475*-0.4.\nAnswer: 40590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*x + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aapppaa. Give prob of picking 2 a and 2 p.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (564\/9)\/(-2)*366\/4. Is c\/(-4) - (-26)\/104 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 23 = 4*o, -5*g - 35 = -4*o. Suppose -4*a + 2255 = -a - 2*i, 5*a = -o*i + 3725. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnqgegedgencdq. Give prob of sequence enq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 279957*q**2. Let d(u) = 9*u**2. What is n(d(v))?\nAnswer: 22676517*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 - g**2 - 2*g. Suppose -488*v - 280 = -418*v. Let y(d) = -15*d**3 + 3*d**2 + 5*d. Determine v*y(h) - 11*p(h).\nAnswer: 5*h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91210151.\nAnswer: 17, 433, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 38 = 2. Suppose -2*r + 0 - 2 = 0. Let t = r + v. Solve -2*m - 6 = t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -42\/47?\nAnswer: -42\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*b**2 + 65*b**2 - 134*b**3.\nAnswer: -134*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157313, 314554, 471795, 629036?\nAnswer: 786277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 - 5*l - 55. Let r(w) = 5*w**2 + 4*w + 44. Let f(j) = -4*a(j) - 5*r(j). Let c(v) = 22*v**3 - 110*v**2. Calculate c(t) - 110*f(t).\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*x**3 - x - 4701987 + 2*x**2 + 4701987 as d + v*x**3 + m*x + c*x**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 2*l**2 + 2*l + 4. Suppose -f + 96 = -26. Suppose -3*x = f - 128. Let g(t) = t**3 + t**2 - t - 1. Calculate x*g(s) + d(s).\nAnswer: -s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176825?\nAnswer: 5, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + f + 49. Let r be v(0). What is the greatest common factor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (sqrt(1700) + 0)**2 + ((0 + sqrt(1700) + -3)**2 - sqrt(1700) - sqrt(1700)) + 0.\nAnswer: -80*sqrt(17) + 3404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 3, g: 9}. What is prob of picking 1 g and 2 f?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12 - 10)\/((-4)\/(-39)) and -11\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -68*h**3. Let w be -3*2\/4*2\/(-3). Let p be c(w). Find the common denominator of -69\/20 and (-5)\/((-30)\/(-9)) + p\/(-30).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115010499.\nAnswer: 3, 38336833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:04 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 17*f + 18. Let i be d(-18). Suppose i = -z + 3*x + 2*x + 23, -122 = -4*z + 5*x. Let v = z + -27. Solve -w - v = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2347179, 2347201, 2347245, 2347323, 2347447, 2347629, 2347881?\n\"Answer: 2*p**3 - p**2 + 11*p + 2347167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000010010 - 11?\nAnswer: -1111000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -22, 39, 0.04?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*d**2*f**2*i**3 + 23*d**2*f*i**3 + d*f**2 - 3*d*i**3 + 31*f*i**3 + f wrt d?\nAnswer: 66*f**2*i**3 + 46*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*s + 13, 6*v = 4*s + 2*v + 16. Let x(h) = 12*h**3 - 2*h**2 + 1. Let u = 1776 + -1733. Calculate the remainder when u is divided by x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3\/5 - 1604*n**2\/5 + 77201*n\/5 - 653796\/5 = 0?\nAnswer: -1651, 11, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (166\/(-2))\/(12 + -13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 47*u + 178. Determine y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 4, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (106\/(-16))\/(5\/(-2)) and ((-4)\/288)\/((-10)\/328).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 2*g**3 + g**2 + g**3 - g**3 + g**3 + 4*g**3 + 2*g**3 - 5*g**3 + (0 + 0 + g**3)*(5 - 3 + 0) + (855 - 855 - 323*g**2)*(-1 + 2 + 1)*(-1 + 1 - g).\nAnswer: 648*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272508 or 272504?\nAnswer: 272504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -501*w + 2499. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/(-144))\/7*6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -120\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(125) + sqrt(125)) + -5)**2.\nAnswer: 600*sqrt(5) + 18025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2448)*3 + 5)*3.\nAnswer: -432*sqrt(17) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5377 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5)*170\/(-102))\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104746 and 0.05.\nAnswer: -5237.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 - 0) + 2. Suppose 0*g = -h*g - 5*o + 6, g + 4*o - 7 = 0. What is the second biggest value in 5\/2, g, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*p - 18, 2*z - 1 + 8 = -p. Let y = z + 6. What is the second derivative of y*a**2 - 2*a**2 - a**5 - a wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/2 - 9534*t**4 - 57246*t**3 - 76344*t**2 = 0 for t.\nAnswer: -4, -2, 0, 6362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*z + 11 - 11)*(6*z**3 - 4*z**3 - 5*z**3) + 22*z**3 - 6*z**4 - 22*z**3 as x*z**4 + q*z**3 + i*z**2 + b + m*z and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1334861 + 5?\nAnswer: -1334858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 23. Let s be h(9). Let z(g) = -g + 1. Calculate z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 549, -3.4, 10.\nAnswer: -3.4, 4, 10, 549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:53 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*x + 18 = 0, -3*q + 426*x = 430*x + 24. Solve -3*v + 11 = -z, q*v - v - 15 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*g - 248 + 248)*(3*g + 2*g - 2*g).\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 7*v - 843. Let h(y) = -y - 1. Calculate -2*h(f) - r(f).\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z + 11. Let x be l(13). What is the greatest common factor of x and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -2. Let k = 10 + a. Let r be -1 - ((-84)\/(-8))\/k. Which is smaller: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18375\/70 + 1\/2. Let p = -266 + g. Put 20, 2, -2, p in ascending order.\nAnswer: p, -2, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*a*t**2 - 5*a - 4*t**2 + 14*t + 2 wrt t.\nAnswer: 24*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/2*(-2)\/4. Let l = 40 - y. Let g = l - 36. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 2:58 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 21 (c) -3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-8))\/(-16)*(-16)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6.3, -1, 0.03233, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5 = 4*w - 3, -3*w + 11 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 2. Let q be p(0). Suppose -5*s + 2*s - 282 = 0. Let v = -93 - s. Solve -h + 3*h + 2*b = q, 0 = -h - 3*b + v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -29. Solve -4*o + 0 + 32 = 4*u, -4*u + o + 12 = c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92137.18 tonnes to grams.\nAnswer: 92137180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 57*n**2 - 109*n + 7. Give v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:50 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*p - 5604. Let x = -41035\/22 + p. Calculate the common denominator of 63\/20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 178049256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97)\/97*(-17)\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a hour in seconds?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytyyyyyytyyyyyyyyyy. Give prob of picking 2 y and 1 t.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5189518705 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (12\/(-16))\/(0 + (-1)\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-8)\/(-30)) + -11. Solve 1 = 3*x + o*f, -4*x + x = 2*f + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.97 - -11389\nAnswer: 11406.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*r = -0*r - 276, -r + 4 = 0. Let f = q - 12. What is the remainder when f is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15361165 + -2?\nAnswer: -15361200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:23 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2446*w**2 + 2025 wrt w?\nAnswer: -4892*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r**0*r))\/r)\/r)\/(r\/(r*(r*r\/(((r**(-1\/8)*r)\/r)\/r*r))\/r*r*r)) assuming r is positive.\nAnswer: r**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461583825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 + 4*y**3\/3 - 2*y**2 + 4*y + 3. Give z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p + 1. Let f be ((-2)\/8)\/(450\/(-1600)) + 1\/9. What is q(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.884 centuries to months.\nAnswer: 1046260.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -108, -396, -812, -1344, -1980, -2708?\nAnswer: -3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let b(x) = 8*x**2 - 31*x. Give b(m) + 5*r(m).\nAnswer: 8*m**2 - 41*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29790339 + -4.66.\nAnswer: 29790334.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*y**2 + 203*y**2 - 75*y**2 + 361*y**5 wrt y.\nAnswer: 21660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:37 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20582192 to the nearest integer?\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222210210 (base 3) to base 2.\nAnswer: -1001100100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -88*i**2. Let r(q) be the first derivative of -30*q + 0*q**2 - 1\/3*q**3 + 1. Let t(w) be the first derivative of r(w). Give t(s(d)).\nAnswer: 176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 23513.881?\nAnswer: 23508.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(27)\/sqrt(3)) + -4)*2 + (1*sqrt(1584) - sqrt(1584))\/((sqrt(144)\/sqrt(4))\/sqrt(9) + sqrt(4)))*-6.\nAnswer: -12*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15*-1 - (19608\/215)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y + 658 = -12*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 1\/6, -7\/2, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 2, -1\/4, 0.2 in decreasing order.\nAnswer: 86, 2, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 at least as big as 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*h + 6 = 0, 3*z - 4*z - 2*h = -4. Let b(f) = 20*f - 8. Let k = -3 - 6. Let d(x) = 5*x - 2. Let n(j) = k*d(j) + 2*b(j). Give n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 24) + 30 - -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k + 2 - 14*k - 6*k)*(k + 2*k + k)*(-1 + 6 - 4) to the form n*k**2 + h*k + a and give n.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.3. Let s = 0.54 - 1.1. Let g = s + 0.06. What is the closest to l in g, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*-1)\/sqrt(7))\/(3*sqrt(24)\/sqrt(3)) + 4 + 5.\nAnswer: -sqrt(5)\/3 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -169. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - -13) + (-6)\/2. Suppose 93 = 2*i + t, -4*t + 105 - b = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/3*-1*-1. Let j be (4 - 35\/(-2))*162. Suppose -p*s + j = -532. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-25 - -1)) + (5358 - 5368).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 723255948 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210654950 divided by -42130990.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2898, 2261, 530, -2841, -8398, -16687, -28254, -43645?\nAnswer: -63406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 234, 450, 630, 756, 810?\n\"Answer: -3*j**3 + 237*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -932, 3, -169 in ascending order.\nAnswer: -932, -169, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/50*(-444875)\/35590?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 13*d**2 + 13*d - 26. Let o(z) = -16*z**3 + 15*z**3 - z + 7*z - 13 - 6*z**2. Let y(h) = 6*l(h) - 13*o(h). Differentiate y(n) wrt n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14241, 14237, 14235, 14235, 14237, 14241?\nAnswer: 14247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*18\/(-81))\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 2, o: 2, b: 1, s: 1, q: 2}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131909556*m**3 + 51109674*m wrt m.\nAnswer: -791457336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9 + p - 3*p + 26 - 12. Let a(s) = s - 2. Suppose b = 2*i - 24, -5*b + 3*b = 2*i - 18. Let k = 16 - i. Give k*a(j) + 2*n(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Suppose 2*v - 5*i + 13 = -2, 3*v - 5 = w*i. Put v, 0, -2 in decreasing order.\nAnswer: v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5 = 2*v, -3*v - 74*o + 73*o + 13 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2945 and 35.\nAnswer: 20615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1125 + -1124.8. Let x = 3 + -3.4. What is the closest to d in 0, -0.2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 7 + 2*u - 4*u. Let b = 8 + -4. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977 is divided by (-6)\/(-10)*4275\/(-570)*(-284)\/9.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 3*k + 1. Let g be p(3). Suppose -z - g = -5, 4*s - 4*z = 52. Let j = 25 - s. What is the least common multiple of 12 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6*(((m\/(m*m*m\/(m\/(((m*m\/m**(-5)*m)\/m)\/m))*m*m)*m*m)\/m)\/m)\/m*m*(m\/m**(6\/5))\/m**(-7)*(m**(-1\/3))**(4\/21)\/(m*m**0)**(-12\/13) assuming m is positive.\nAnswer: m**(19081\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -23 + -10 - ((0 - 1) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 8612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-5\/9))*f)**(4\/3)\/(f\/(f\/(f\/(f\/(f*f*f\/(f*f**27))*f))))**(-25))**(-2\/47) assuming f is positive.\nAnswer: f**(35068\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 - 160. Let v be 6\/(-27) + (-1 - (-656)\/n). Calculate the greatest common factor of 697 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4 - ((60 - 102) + -18).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (132 - 10)) + 0 - (214 + -197).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146282381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -312230323021 (base 4) to base 7\nAnswer: -232612645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339 + -332. Solve -6*n - 5 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n + 224. What is the units digit of f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 60. Suppose -25 = -3*d + 4*c, 19*d - 2*c + 37 = x*d. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/6 + 7*l**2\/2 + 2*l. Let r be v(-7). Find the third derivative of r*t**2 + 5*t**2 - 4*t**2 + t**3 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 + 147. Suppose -5*s = -3*s - 3*g - 23, 4*g = -20. Suppose i*b = -s*b + 164. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -37. Is 31\/2 - n\/38 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6869129 weeks?\nAnswer: 415444921920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**10\/k)\/k)\/k**(5\/3)*k**(1\/10)*k**(-7) assuming k is positive.\nAnswer: k**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 + (-2 - 8 - -5) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 6) + -1 + 14\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 34 = -2*b, -2*y - 3 = -16*b + 11*b for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**5\/4 + 5*v**4\/3 - 25*v**3\/6 + 5*v**2 - 15*v + 13. Let w(l) be the first derivative of g(l). Find a, given that w(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*a = -5 - 3 - 14, a - 14 = -23 + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -10.\nAnswer: -10, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 7. Let j(h) = -h**2 + 8*h - 9. Let u be j(6). Let z be (u\/(-6))\/((-1)\/(-14)). What is the units digit of y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17178609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2667764124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -33*(3 - 4) - 2. Is ((-2)\/(-2))\/(1\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 3. Let w be i(5). Suppose 5*h + 177 = -t + 417, -2*h = -t - 103. Let f = w + h. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8090233\/156 - 51861. Let s = 6385 - 15308. Let l = 107219\/12 + s. What is the common denominator of l and c?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 6\/4)*(-4)\/(-21). Let q = 1 + -1. Is q equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1764)*3*6)\/(sqrt(12) - (-4*sqrt(432) + sqrt(432) - sqrt(432)) - 6*(sqrt(768) + sqrt(12))).\nAnswer: 252*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6216 = -106*t - 62*t for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37703454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = 2*j, -502*j = -504*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 139860.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 13. Let h(o) = o**2 - 3*o - 4. Let a be h(k). Differentiate -2*p**2 + 3 + p**2 + a*p**2 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333\/17 - 13\/51. Let c be (-2)\/1 + 0 + -12. Find the common denominator of (-6)\/8 + c\/(-4) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 16. Let q(z) = -244*z - 1. Is q(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -4 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, p: 1, v: 2, s: 1}. What is prob of sequence rvr?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 15*x + 4. Determine o(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -cc0 (base 16) in base 11?\nAnswer: -24a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302233 (base 4) to base 12.\nAnswer: 6753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7854, 15713, 23572, 31431, 39290?\n\"Answer: 7859*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*x + 320, -x - n - 131 = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 16 = 0. Suppose t = o + 83, -2*t + b*t - 164 = 4*o. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 343 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11174 (base 8) in base 3?\nAnswer: -20111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137470 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: What is next in -5267, -10549, -15849, -21173, -26527, -31917, -37349?\nAnswer: -42829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(4\/(-3)))\/((-288)\/(-1152)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*84.\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4295 + 2149 - g**3 + 2136.\nAnswer: -g**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-12) - -2*(2 + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -243763*g**3 - 371130 with respect to g.\nAnswer: -731289*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/(-16))\/(393\/24104) is divided by (-2)\/(1*1\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -993, 173, 2123, 4863, 8399, 12737, 17883, 23843?\n\"Answer: i**3 + 386*i**2 + i - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, x: 1, r: 4, h: 2, f: 1, p: 1}. What is prob of picking 1 r, 2 f, and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4 (c) -5 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1629810515.\nAnswer: 5, 1279, 254857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*(-5)\/(-15) + 40. Suppose -5*o + 118 = n. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48183 is divided by 604?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5 - 0. Which is the third biggest value? (a) -1\/8 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -58. Suppose j + 17 = v, l = 4*v + 4*j - 44. Suppose -q = v - 111. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-11*x + 8*x + 7 + 4*x)*(-9*x**3 + 0*x**3 + 2*x**3).\nAnswer: 7*x**4 + 49*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -801\/2*r**2 + 3\/2*r**3 + 0*r + 0.\nAnswer: 3*r**2*(r - 267)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57054462 to the nearest integer?\nAnswer: 7553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.2672l in millilitres?\nAnswer: 142267.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 2*k**2 + k + 56. Does 28 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-605)\/(-55) - (-316)\/(-28). Let o = 0.3 - 0.1. Which is the nearest to 1? (a) o (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 22*p + 30. Let v be d(21). Let b be (-6)\/(-4)*28\/21. Suppose 0*m = -h - m + 4, -2*m - 7 = -3*h. Solve 5*c + v = j + 3, b*c - j = -h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 177, 26921 in ascending order.\nAnswer: 1, 177, 26921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 27217.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/24 and 91\/1422.\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(2*q - 1 + 1) + 5*q - 3*q + 0*q + 45014 - 45014 + 439*q.\nAnswer: 437*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 + 1129*m**3 + 295794*m**2 - 12962464*m + 98906240 = 0.\nAnswer: -584, 10, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705510138.\nAnswer: 2, 3, 47, 313, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(-333 + 250 + 224)*(1 - 2 - 2)*(2*y - 2*y - 3*y**3)*(-4*y + 6*y - 3*y).\nAnswer: 5076*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9771 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 2, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in 0.4, 1\/5, 0.08, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87062 + 128?\nAnswer: -86833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c. Let j(z) = 2*z + 6. Let w(m) = 4*m + 11. Let k(r) = 11*j(r) - 6*w(r). What is k(v(n))?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 5*d**2 - 4*d - 7. Let z be c(6). Suppose s = 3*w - 4*w + 9, 0 = -2*s + z*w - 3. Calculate the greatest common factor of 24 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -12. Let b be c\/((-18)\/(-76)) - -2. Suppose z + 2*t - b = 0, 0 = -2*z + 4*t + 110 - 6. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*m**5 + 2*m**4 - 274698*m**3 + 3418*m**2 + 21*m + 201.\nAnswer: 1380*m**2 + 48*m - 1648188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14*(-4)\/(-112))\/((-1)\/(-24)). Solve 3*g - 12 = 2*s - 5*s, -4*s - 2*g + y = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = f, w + 4*w - 2*f = 5. Let o be 60\/(-18)*w\/(-2). Put -1, o, -31 in descending order.\nAnswer: o, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:44 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b - 1056 = -3*x, -b = -4*x - 225. Let f = -348 + b. What is the units digit of (8\/(-10))\/(18\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 8*h - 14. Let p(c) = -6*c**2 + 40*c + 69. Let g(k) = -2*p(k) - 11*u(k). Solve g(s) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/15 - 1 - (18 - ((-36982)\/(-3740) + 10))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2663394 (base 10) to base 8.\nAnswer: 12121742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2284, -3154, -4590, -6586, -9136, -12234, -15874, -20050?\n\"Answer: t**3 - 289*t**2 - 10*t - 1986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-38))\/d)\/((d**38\/d)\/d))\/((d**(-14)*d)\/d)**(-8\/3) assuming d is positive.\nAnswer: d**(-334\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*l - 6, l - 3*s - 2 = -0*s. Suppose -7 = -l*j + j. Calculate the remainder when 45 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1272 and 114888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 2, 4*i - 3*o = 22. Let r(z) = 4*z**2 + 3 + 4*z**2 - 2*z**2 + i*z. Is r(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-11 - -8) + -4 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41083244.4 + 4\nAnswer: 41083248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-21) + (4 - 3) + 1. Let v = p - 36\/7. Sort -5, -3, v in decreasing order.\nAnswer: v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53024.08 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -778 + 790. Solve -8 = y - 2*m, y + 43*m = 47*m - h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11)*c*c**(-1\/7)*c*(c*c**(-8))\/c**(2\/51) assuming c is positive.\nAnswer: c**(-5777\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396452 to the power of 1\/2, to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 20 = -5*h, 3*i = -0*i + 2*h + 19. Suppose -5*t + 13 = -7. Suppose 4*o = -t*y + 5*o + 12, 6 = 2*y - o. Sort i, y, 0 in increasing order.\nAnswer: 0, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121.996 - -126. Let a = 3.9 - -0.1. Let m = l - a. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/21)\/(11 - (-249)\/(-21))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679094*s**2 + 29*s**3 + 679094*s**2.\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 3*w - 1. Suppose -5*x - 1 = -11. Let u be h(x). Put -5, 2, u in ascending order.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*y + 4*x, -2*x + 7*x + 20 = 0. What is the biggest value in y, 0.2, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 601*m + 5730. Let b(y) = y**2. What is x(b(j))?\nAnswer: 601*j**2 + 5730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 26866025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2165 = 12*j - 1567. Sort 0, -4, j, 2 in ascending order.\nAnswer: -4, 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 2, q: 3, r: 2}. Give prob of picking 2 x and 2 q.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*l, -3*v + 367 - 100 = 4*l. Solve 0 = -95*t + v*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 - 714*i**2 + 272*i**2 + 11*i**2.\nAnswer: -410*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-1512)\/(-28) + (-4216)\/168?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010085559 + 45?\nAnswer: 44.989914441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106461 + 111?\nAnswer: -106350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -17*d + 221. What is the smallest common multiple of 28 and d?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r - 5*v - 20, 2*v = 0. Suppose -r*p - 2*p - 44023000 = 0. What is p rounded to the nearest one hundred thousand?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 11*v + 6 - 8*v - 5.\nAnswer: 3*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20533 - 34310 + 2*t + 13786.\nAnswer: 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/3)\/(-2))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 - 3*t - 5. Let d be w(4). Let k(y) = y**3 + 3*y**2 - 7*y - 6. Let h be k(-4). Let f = h - d. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2 - 2)*(2 + 2*x - 2)*(0*x + 2*x**2 - 5*x + 0*x**2).\nAnswer: -12*x**4 + 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 320*b**2 - 276*b**2 - 3*b.\nAnswer: 44*b**2 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:35 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -255252, -509494, -763736?\n\"Answer: -254242*a - 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - (-44)\/5. Suppose -4*f - i = 3. Calculate the least common multiple of (12\/(-4) - f) + 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2472 - 2427. Calculate the remainder when 940 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, x: 2, q: 1, s: 1, v: 1}. Give prob of sequence vx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 50, 79, 108, 137, 166?\n\"Answer: 29*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*h - 2 + 1, 2*h + 16 = 2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1670, -10, 5, 60, 0, 4 in decreasing order.\nAnswer: 1670, 60, 5, 4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*d - 3*d, -p = -4*d + 18. Let i be 10*(-1 + (-3)\/p). Let y = 193 - 185. Solve i*r - y = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 519083599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y**4\/7 - 30*y**3\/7 - 30*y**2\/7 + 30*y\/7 + 12\/7 = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w. Let x(t) = -t**2 + 4*t + 1. Let z be x(3). Let i(r) = -5*r**3 - r + z*r**3 - 4*r**3. Let b(q) = 3*c(q) + i(q). Factor b(s).\nAnswer: -2*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 351496.6?\nAnswer: 351497.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + (6\/9 - (-142)\/(-42)). Sort 3, -6, 10, m in increasing order.\nAnswer: -6, m, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Suppose -2*j + 6*j - 88 = m. What is the greatest common divisor of j and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7043.318l to millilitres.\nAnswer: 7043318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13ca2 (base 15) to base 3.\nAnswer: 10020020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/60 - (-5)\/((-150)\/(-1444))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.49369 hours to microseconds.\nAnswer: 271777284000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101 - 5 + 190)*(0*b - b**2 + 0*b + (-2*b + 4*b - 3*b)*(0*b + b + 0*b) - 2 + 2 + b**2) to the form c*b**2 + p*b + r and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*o + 4*d + 249, -117 = -2*o - 5*d. Let h = o + -35. Suppose -2*l + 0 + h = 0. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*o**4 - 1\/6*o**2 + 1\/3 + 1\/2*o - 1\/2*o**3.\nAnswer: -(o - 1)*(o + 1)**2*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907 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: b\"What is the jth term of -126, -824, -2622, -6036, -11582, -19776?\n\"Answer: -86*j**3 - 34*j**2 + 6*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3983 times 3297?\nAnswer: 44174.1951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.1 (c) -176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7693*l + 19. Let d(b) = -2*b. Calculate z(d(t)).\nAnswer: -15386*t + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 216081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5, -1, 34 in decreasing order.\nAnswer: 34, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 2)*(2 + 4*f - 2) in the form c + n*f and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h**4 - 903*h**3 - 3825*h**2 - 3129*h - 147 = 0.\nAnswer: -7, -1, -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i**(2\/9))\/(i**(-6)\/i*i**(2\/7)) assuming i is positive.\nAnswer: i**(752\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22020101200101 (base 3) to base 15\nAnswer: 5b7027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7)\/(753\/(-1757)*2\/18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*v - 2*v - 37, -5*v = 4*r - 40. Suppose -v*d = -15*d + 1232. What is the remainder when d is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/((-2)\/44))\/(-1). Suppose -2*i + 6 = 2. Suppose i*c - 5*z + 6 = 0, 0*z + 3*z = 6. Calculate the greatest common factor of c and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v + 81. Let q = -18 - v. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*u - 3*u + 2742 = 0, u = -2*d + 1832. Suppose 3*b + 4*l = 921, -4*b + b - 3*l = -d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 75*g + 73. Let a be 1 + 2 + 2 + 0. List the prime factors of i(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 14720184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than 58605?\nAnswer: 58614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 16*d - 1430. What is the greatest common factor of 330 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d*h**2*r + 246*d*h*r**2 + 3*d - 40*h**2 + 2*h*r**2 - 101 with respect to r.\nAnswer: 7*d*h**2 + 492*d*h*r + 4*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 3*z**2 + 4*z - 1. Let v be h(-3). Let n be (-3 + 2)\/((-2)\/4). What is the first derivative of n - v*x + 14*x - x**3 wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.2322 litres in millilitres?\nAnswer: 60232.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**(-2\/9))**(1\/21) assuming i is positive.\nAnswer: i**(-2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -248*z**2 + 580*z**2 + 17211*z + 1372*z**2 - 17213*z - 160*z**2 as y + i*z + w*z**2 and give w.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2)*(-3)\/9. Suppose f = -5*i - v + 19, -4*v + 6 = i - 6*v. What is n in 0 - 12\/11*n - 18\/11*n**2 + 42\/11*n**i + 18\/11*n**3 + 18\/11*n**5 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 5, -2\/3 in decreasing order.\nAnswer: 5, 0, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 212022673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j = 95 + 89. Let z be (-315)\/(-27) + -11 - j\/6. Solve -2*g - 3*c = -3*g, 3*c + 3 = z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4 - 10. Suppose -8 = y*f - f, -5*o - 5*f + 60245 = 0. Let l = 18953 - o. Round l to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, p: 1}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3514 + -3544.9. What is q rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110010000 (base 2) in base 11?\nAnswer: -3418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 51. Let q = -66 - -111. Let a = 87 - q. Calculate the highest common factor of g and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*d - 226, -4*d - 11*p + 299 = -8*p. Calculate the highest common divisor of 37 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grogggbgu. What is prob of picking 1 u and 3 g?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13.86827 nanoseconds?\nAnswer: 0.00001386827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8095 and 4.\nAnswer: 32380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 + 51. Calculate the remainder when m is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470073 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -56. Let -3\/2*l**2 - 1\/2*l + m = 0. What is l?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 433501964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62095\/28 + -2218. Let t = f - -4\/7. Let d = -1.142 + 0.142. Sort -4, t, d.\nAnswer: -4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9990752\/355 + -28143. Let y = 125\/852 - u. What is the common denominator of -89\/18 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w**(-4\/7)*w)\/w*w)\/w**(1\/8))**2 assuming w is positive.\nAnswer: w**(129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2699909 and 1921?\nAnswer: 45898453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -4*sqrt(152) - sqrt(152))\/sqrt(8) + sqrt(76)\/(sqrt(4)*2).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.006 + -0.294. Let h = 3 - 4. What is the closest to h in -1, w, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -137.3. Which is the closest to 0.1? (a) 23 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 756106773 or 756106772?\nAnswer: 756106772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*5 - (-18)\/9. Let g be (1*c\/(-2))\/((-9)\/48). Let q(d) = -d**2 - 30*d - 19. What are the prime factors of q(g)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1. Let m(v) = v. Suppose 0 = 3*w + 257 - 53. Let u = w + 67. What is u*b(a) + 3*m(a)?\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgrrgwrrggwwg. What is prob of picking 1 x and 2 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -38 + -28 - (-5 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 4*3\/6. Suppose 2*w + 0 = -5*b - g, 2*w = 4*b + 22. Suppose -26 = -w*k - u, -2 + 0 = -2*u. Solve k*z = -i + 27, z + 8*i - 3*i = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/25 or -1?\nAnswer: -39\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(-4*u**2 + 3*u**2 + 9*u**2).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 14842422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u. Let o(g) = -2 - 6*g**2 + 17*g**2 - 4 - 10*g**2. Calculate o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 5. Let z(v) = 4*v - 4. Suppose -27*c + 30*c = -u - 6, c = 3*u - 12. Give c*s(t) - 4*z(t).\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + b - 4 + (-2*b - b + b)*(0 + 1 - 2) - 4*b + 5*b - 3*b - 9 + 0*b + 4*b - 3*b in the form s*b + x and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by -472.\nAnswer: 17\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78519368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than 1336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -27 (b) 5 (c) 0.5 (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-95)\/19)\/55)\/((-5)\/25*(-15)\/(-24)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l + 9 = 62*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u = 69 - 374 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 14. Let k = 11 - l. Let w be (-6)\/(-1 - 1) - (7 - k). Solve 10 = -3*v - 4*n, n = -w*n - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -251*d**4 - 9*d**3 - 88*d + 6. Let k(n) = -63*n**4 - 2*n**3 - 22*n + 1. Let t(y) = -2*c(y) + 9*k(y). What is the second derivative of t(l) wrt l?\nAnswer: -780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let v be (-5 + d)*(0 + -1). Solve v = 3*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/6437 - -946119\/128740. Which is smaller: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*l + 18, -q - 5*l - 15 = -6*q. Let h(i) = -2*i**2 - 2*i + 2. Let g(a) = -a**3 + 9*a**2 + 9*a - 9. Determine q*g(j) + 18*h(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10*(37 - 22). Let x = 14 + 8. What is the greatest common divisor of x and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -56854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5943062.513 + -5.\nAnswer: -5943067.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16482507 is divided by 915693.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 73?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = -4*g, -5*g - 3*o - 5 - 4 = 0. Let s(y) = 2*y**2 + 1 + g - 3 - y + 2*y**2. Is s(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315419.84*-0.2.\nAnswer: 63083.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 2, 75, -1132.\nAnswer: -1132, -2, 0, 2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**2\/2 + 15*b - 20. Determine j(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s. Suppose -2*z + 2*c = -10, -z + 0*c + 1 = -3*c. Let y(t) = t + 10*t - z*t + 0*t. What is y(p(g))?\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0 + 1\/3*u**3 + 1\/24*u**4 + 0*u + 2*u**2. Is p(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(32\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -423, -1614, -3575, -6306, -9807, -14078?\n\"Answer: -385*g**2 - 36*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2740\/3 - -912. What is the closest to -0.1 in 0, -2\/25, d, -4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/15 and -61\/447?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 16*y - 35. Is y <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -579*-31\nAnswer: 17949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**3 - 4*i**3 - 1 - 4 to the form l*i + c*i**3 + n*i**2 + x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - (-82 + 82 - (0 - -5)) - 87.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*i = -535, 3*q = 4*q - 4*i - 537. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u + 3. Calculate the common denominator of a(1) and (-2)\/14*-2*-18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567 = -17*v + 26*v. Suppose -6*r - v = -81. Find n, given that 8\/3*n**r + 5\/6*n**5 - 2\/3*n**2 - 17\/6*n**4 + 0*n + 0 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*a**2 - 2*a**2 + 2*a**2 + (-4*a + 0*a + 0*a)*(-3*a + a + 15*a).\nAnswer: -54*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*c + 49 = 0, -2*g + 51 = 3*g + 2*c. Solve 3*p = -3*z + 6 - 3, -3*z + g = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(((u\/(u\/u**3*u*u))\/u)\/u))*u**(-3)\/u)\/(u**7\/((u**(-2)*u)\/u)))\/((u*u**0*u)**(-31)*u**4*u*u**(-7)) assuming u is positive.\nAnswer: u**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Let s(b) = 20*b - 2. Let r(j) = s(j) - 2*z(j). Let y(g) = g - 1. Let l(v) = -r(v) - 4*y(v). Differentiate l(a) wrt a.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 45. Let y be 3\/(n\/(-4))*-3. Suppose -256 = y*a - 8*a. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 7. Let m = 14 - o. Suppose 5*b = 3*l - m*l + 37, -5*l - 46 = -4*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 3. Let n be 2\/8 - 13\/4. Let o(i) = i**2 - 2*i + 2. Let c be (6\/18)\/((-3)\/18). Give c*g(a) + n*o(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 67 = 4*w. Solve t = 4*z - 14, -4*z + 5*t + w + 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -5173?\nAnswer: 5172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5825*w**3 + 70276 wrt w?\nAnswer: 17475*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 3. Let f(d) = 203*d - 42. Let q(y) = 25*y - 5. Let n(t) = 6*f(t) - 49*q(t). Determine 5*g(s) - 3*n(s).\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -12.95. Let d = -6 - z. Let o = d + -7.5. Sort -1, -2, o.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22510 (base 6) in base 5?\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384 by -7.\nAnswer: 384\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577668 = -83*v + 37*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*d + 148*d + 240 = 58*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*l + 79 + 3 = 0, 172 = 4*g - 11*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4941212776 to the nearest integer?\nAnswer: 70294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 555774 (base 11) to base 15\nAnswer: 1277e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233339 is divided by 11634?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1489 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 2. Let c be v(2). Let j = c + -6. Sort 4, j, -3.\nAnswer: -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56339 * 27.\nAnswer: -1521153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 2*p**2 + p + 2. Let v(c) = 27*c**3 - 23*c**2 - 3*c - 1. Let u(r) = -3*q(r) - v(r). What is the third derivative of u(i) wrt i?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r + 10*r + r**2 - r**2 + 0 + 0 + (4*r - 4*r - 2*r)*(-r - 1 + 1) - 86 + r + 168 - 19*r**2 - 80.\nAnswer: -17*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-290)\/40 - -11) + -3. Which is the nearest to 2\/9? (a) -2 (b) m (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205*5.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1277, 3169, 6339, 10781, 16489?\n\"Answer: -r**3 + 645*r**2 - 36*r + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/5, -25, 1, 1\/4, 1.18 in descending order.\nAnswer: 1.18, 1, 1\/4, 0, -3\/5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i*j**4*t - i*j**3*t + i*j**2*t + 390*i*t - 2*i - 12*j**4*t wrt j.\nAnswer: 96*i*j*t - 6*i*t - 288*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:53 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/11, 3, -2\/11, -4.\nAnswer: -4, -2\/11, 9\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h + 3. Suppose -4*r = r + h*j - 634, -123 = -r + 3*j. Let t = 344 - r. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 13. What is the remainder when 103 is divided by b(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91820 is divided by 238.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 2. Let f(u) = -u**2 - u. Let s be f(0). Let r be v(s). Let o = 0 - r. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4231 - -4235. Let d(h) be the first derivative of 8\/9*h**2 - 5 - 1\/18*h**l - 8\/3*h + 2\/27*h**3. Suppose d(c) = 0. What is c?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let j = 583\/2 - 291. Let p(f) be the first derivative of 0*f + 3 - j*f**2. What is p(x(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3201103 (base 4) in base 8?\nAnswer: -34123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37972101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:10 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.01 - 0.01. Let w = v - 3. Let c = w - 5.995. What is c rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g - 4 = -28*g. Suppose -4*i + 2*p + 4 = -0*p, 2*p - 8 = 0. What is the nearest to 0.1 in i, -5, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -2478.7856\nAnswer: 2478.6856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 7) in base 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326 or 343?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - u**2 - u**4 - 5*u)*(5 - 4 - 2)*(1671 - 722 - 185 - 143).\nAnswer: 621*u**4 + 621*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 5. Let b be 33\/6 + c\/4. Let z be 4 - 4 - -1*3. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Let b = j - -3. Calculate the remainder when ((-20)\/b)\/((-2)\/6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 2*x**5 - x**5 + (-3 - x + 3)*(2*x**4 - 2*x**4 + 2*x**4) - 48*x**5 + 21*x**5 + 24*x**5 - 2*x**4.\nAnswer: -6*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72549924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 133*c**2 - 2. Let b be k(1). Suppose -p + b = -14. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 25. Let j(z) = 2*z**3 - 5*z**2 + 6*z. Let n(k) = 3*k**3 - 6*k**2 + 7*k. What is c*j(v) - 4*n(v)?\nAnswer: -2*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 573*r**2 + 38969*r + 336. Calculate o(-68).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - (-190 + (-35)\/(-7)). Let c = -104 + k. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -n + 97, 4*x - 4*n - 23 + 139 = 0. Let q = x + 36. Find the second derivative of 30*t - 10*t - 13*t - q*t**4 - 6*t**4 wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 0. Which is the second smallest value? (a) n (b) -0.05 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*t - 2321 + 9443 = -7753. Calculate the greatest common factor of 3475 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 20. Let d be (u + 30)\/((-3)\/(-3)). Suppose 2*c - 81 = -d. Solve -2*s + s + 15 = -2*k, 5*s = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) - (sqrt(13) - sqrt(52)\/sqrt(4)*-6) - (1*sqrt(13) + -4)).\nAnswer: -16 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 344 + 314. Let r = 7 - 5. Let b = -2 - r. Sort b, 2, o.\nAnswer: o, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + (sqrt(385) - sqrt(385)*-1) + sqrt(385))\/sqrt(11) + sqrt(35) + sqrt(35))\/(-2*sqrt(35)\/sqrt(7))*4.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33049459.\nAnswer: 23, 1436933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -23303221?\nAnswer: -23303222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 303\/(-150))*(-515)\/(-2) and 113\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1078*i**4 - 2*i**3 - 550*i**2 wrt i.\nAnswer: 25872*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*3 - (-56)\/(-28). Let z be d\/((-24)\/3 - -1)*1. What is the nearest to 57 in z, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 - 10)*(-2*p**2 + 0*p**2 + 4*p**2)*(-2*p**2 + 4*p**2 + 14*p**2) in the form m*p**4 + g*p**3 + x*p + a + l*p**2 and give m.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 + 93. Let s be (-6)\/5*r\/(-4). Let w = 10 + s. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.6910838 rounded to 1 dp?\nAnswer: -126.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u = -3*g - 53*u + 11, 4*u = 4*g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 112*i**4 - 1524*i**3 + 7128*i**2 - 14526*i + 11016 = 0.\nAnswer: -68, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16591191 minus -0.32910523?\nAnswer: 16591191.32910523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*m + 6995, m + 3098 = 3*s - 3900. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6)\/((-1)\/(-3))*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c04bd (base 14) to base 9\nAnswer: 773600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 3:58 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650472, 1300932, 1951394, 2601858, 3252324, 3902792, 4553262?\nAnswer: 5203734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 5. Let g be w(-5). Suppose g*z - 117 = 2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-12))\/1 - -1. Let y = 9 + -6. Suppose y*q - 12 - 3 = 0. Which is the smallest value? (a) w (b) q (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2049 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928513413?\nAnswer: 3, 19, 53, 102451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22921.6 - -36189. What is d rounded to the nearest 100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**5\/20 - 3*t**2 + 1. Let q(c) be the second derivative of w(c). Let r(f) = -2*f**2. Give q(r(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let s(q) = 2235821*q. Give n(s(f)).\nAnswer: 2235821*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13101 + 114?\nAnswer: -12543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t - 100*s + 175 = -18*t, 0 = -5*t + s - 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.53 + -1.4577. Let y = r - 0.014. Round y to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -80, 69, 5\/3, 1\/8?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*f + 7. Let x = -71 + 80. Suppose 0 = 3*l - x*l. Put l, f, -4 in decreasing order.\nAnswer: l, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -30104*m + 782247. Give u(26).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*f + 3*m, 9 = -f + 2*f - 4*m. Suppose -1 = -q, f*t + 13 = -0*q - 2*q. Which is the closest to 2? (a) 0.3 (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l + 22. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) 5 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 321774676 a multiple of 1876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(5*p + 2*p - 2*p - 2*p - p + 5*p + (2 - 2 + p)*(-1 + 2 + 1) - 2*p + 3*p - 2*p + 6*p - 2*p - 3*p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0 - 8*m**2 - 13\/6*m**3 - 1\/40*m**5 + 1\/24*m**4 + 0*m. Let r(x) be the first derivative of o(x). Give r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**5 + 171*i**3 - 12*i + 9?\nAnswer: -60*i**3 + 1026*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((2 + -1)*-1). Let a = 3 - l. List the prime factors of a\/(3*4\/(-252)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-232)\/(-13) - 2\/(-13). Round b to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*w - 102*w - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 + 42*o - 9. Calculate the smallest common multiple of q(-8) and 5.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1346245 less than 7?\nAnswer: 7.1346245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 560, 560, 556, 548, 536, 520?\n\"Answer: -2*n**2 + 6*n + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151866?\nAnswer: 2, 3, 11, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q**2 - 20*q + 24. Let i be f(-7). Suppose -i = p + 761. Round p to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 33864*n + 33860.\nAnswer: 4*(n + 1)*(n + 8465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*n = -45, n - 16 = -3*p + 49. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 + (-1)\/(-2). Suppose 4*p - 66 - 14 = w. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 divided by -161949?\nAnswer: -295\/161949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9906 (base 16) to base 6\nAnswer: -501210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 21. Let r = 9 - k. Suppose -5*u + 10 + 10 = 0. Solve 2 = -u*s - r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/72)\/(228\/32)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, x: 11}. Give prob of sequence hhhx.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {o: 2, j: 1, m: 2, g: 8}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7394 and 22.\nAnswer: 81334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0844256 and -4.\nAnswer: 0.3377024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from vqivmmqnvv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297892579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923393.\nAnswer: 263, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/9, 12, 0.5, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/36)\/(-2*2\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11.82643 millennia?\nAnswer: 11826.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 9:55 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 + 135\/(-18))*((-16)\/(-26))\/2. Sort 23, -2, l, 7 in ascending order.\nAnswer: -2, l, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5))**(-6\/5)*b**16\/(b**(-8)*b) assuming b is positive.\nAnswer: b**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x + 15 = 0. Suppose x*g + 2*c = 5*c + 50, 0 = 4*g + 2*c - 18. Find the third derivative of -4*n**3 - g*n**3 - 10*n**3 + 5*n**3 + 6*n**2 wrt n.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -1\/60*j**4 - j**2 - 1\/280*j**8 + 0 + 1\/25*j**5 + 2\/105*j**7 + 0*j**3 + 0*j - 1\/25*j**6. What is i in p(i) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12\/78 - (-15)\/(-13) - -106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.3992 - 0\nAnswer: -1.3992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10954534*u**5*w + 6*u**2 - 13575*u*w - 8*u - 2*w - 15 wrt u?\nAnswer: 219090680*u**3*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/44*(-1)\/((-63)\/(-14)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*s - 620 + 653, -8*s - 13 = -9*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Let x(o) = o**3 - 7*o**2 + 3*o + 8. Let w be x(d). Let q = 14 + w. Do 4 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 74 = 59 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*l = -277*l - 13. Which is smaller: l or -10\/187?\nAnswer: -10\/187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 2*t)*(-33 - 12 - 18)*(-2 + t + 2)*(-5 + 3 + 4).\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148442391.\nAnswer: 3, 23, 717113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13775 or 13834?\nAnswer: 13834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 69*o**2. Let j(u) = 481196*u**2. Determine j(n(l)).\nAnswer: 2290974156*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:07 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5789 + -205?\nAnswer: -5994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3051*l - 8 - 60 + 8336*l + 68 + (-3 - 1 + 5)*(l + 0*l + 0*l) to z + c*l and give c.\nAnswer: 5286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4089589948 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-2)\/6)\/(-1). Suppose w = 4*r - 0*r - 104. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3\/4 + 1535*f\/4 - 765\/2 = 0?\nAnswer: -18, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28092\/7 or 0?\nAnswer: -28092\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 42. Let k be s(5). Solve -48 = -k*j + 31*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y + 14. Let m(d) = 14*d + 15. Let b(a) = -4*m(a) + 3*v(a). Differentiate b(z) with respect to z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8857, 17707, 26555, 35401, 44245, 53087?\nAnswer: 61927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 11 + 7*u**4 - u**4 - 7*u**4 to t*u + h + m*u**2 + j*u**3 + n*u**4 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 970816.1 years?\nAnswer: 9708.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265346628 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -593*o**4 - 8*o**5 + 6*o**5 + 173*o**4 - 726*o**2 + 283*o**4 wrt o?\nAnswer: -120*o**2 - 3288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4122.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101100100001011001101 (base 2) to base 14\nAnswer: -29d949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750748462.\nAnswer: 2, 29, 71, 182309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 580, 1955, 4614, 8983, 15488, 24555, 36610?\nAnswer: 52079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 860261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 194 in 1128, -7\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -123*d**2 + 734*d + 24. Let c be y(6). Let t be (-10)\/12*(-1706)\/(-1222). Let f = t - 2\/611. Is f greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116.5 - -141. Let n = -24 + t. Which is the fourth biggest value? (a) -4 (b) -2\/7 (c) -4\/3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 13. Suppose -3*c - k = -c - 10, 4*k - t = 0. Suppose 0 = 4*v - c*j - 26 - 58, v - 4*j - 33 = 0. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 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: Let c(d) = d**3 - 49*d**2 - 108*d + 105. Determine c(51).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4335*l - 4335*l + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/12 + 2*x**3\/3 + x**2 + 3*x. Let g be h(-3). What is the second smallest value in -5, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9 = 4*t, 2 + 17 = -t + 3*h. Let s be (t + 6 + -3)*(-3)\/(-3). Is s equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbl when three letters picked without replacement from llwqpwblppbql.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 g when four letters picked without replacement from {g: 5, d: 11, m: 2, q: 2}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 211 and -204033847?\nAnswer: 204034058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 163798534 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*i - 44*i - 211700. Suppose -298*j + 293*j = i. What is j rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)\/p)**(6\/7)*(p**4\/p)\/(p\/p**(-5))*p\/(p*p**(-1))*p**(-2\/9)\/p*(p\/(((p\/(p\/(p**(-2\/7)\/p*p)))\/p)\/p*p*p))**(-8\/9) assuming p is positive.\nAnswer: p**(-275\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(4 - 426\/12). Let l = p + -379\/6. Which is the second smallest value? (a) 4 (b) l (c) -0.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -1, -1\/3, 0.001, 2?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(8)\/sqrt(4) + 0))**2 - ((sqrt(8) + sqrt(2))**2 + sqrt(2) + 0 + sqrt(2) + sqrt(4)\/sqrt(8)).\nAnswer: -133*sqrt(2)\/2 + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92688814 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -11. Suppose r = x + 7. What are the prime factors of ((-28)\/(-14))\/((-144)\/74 + x)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = 11*b - 6250. Calculate the highest common divisor of b and 1625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5375*l - 20547 - 17078 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 91*g**5\/120 - 5*g**4\/6 - 38*g**3\/3 - 36. Let w(y) be the third derivative of b(y). Is w(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(3\/5)*m)*m*m*m**(-9)*m**(-4\/9)\/m**(2\/5))**(-14\/5) assuming m is positive.\nAnswer: m**(238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + h + 1. Give k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*a + 3 = -5, c - 3*a + 8 = 0. Let z be (c*-1)\/(2\/74). Let b = z + 53. Calculate the smallest common multiple of b and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/24 - 106*n**7\/315 - 391*n**6\/270 - 266*n**5\/135 - 145*n**4\/108 - 14*n**3\/27 - 2*n**2 + 1. Let i(z) = 0. Calculate z.\nAnswer: -1, -1\/3, -2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 222*v + 17. Let s(m) = 37*m + 3. Give -6*l(d) + 34*s(d).\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/24 + -1\/8. Let n be (51\/(-17))\/(1\/((-1)\/7)). Which is the nearest to -2\/5? (a) n (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 7385.\nAnswer: -3692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 402 - 401.9. Which is bigger: k or 1\/52?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*s - 24, 12*s = -5*i + 17*s - 15. Let 2 - 5\/3*z**5 - 28\/3*z**4 - 16*z**3 + 5\/3*z - 26\/3*z**i = 0. What is z?\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + (7*-1 - (-41 + 26)). Let m(b) = -b + 23. What is m(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851*c + 18470 = -841*c. List the prime factors of c.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504, 5, 4\/3, 45 in descending order.\nAnswer: 504, 45, 5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9984 and 480.\nAnswer: 49920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13708, 28279, 42850, 57421?\n\"Answer: 14571*a - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**5\/13 - 122*m**4\/13 - 22*m**3\/13 + 354*m**2\/13 - 124*m\/13 - 80\/13 = 0. What is m?\nAnswer: -20, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 21*w + 22. Is m(22) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 10 = 10*n. Sort 1, n, -1 in decreasing order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -2368047?\nAnswer: -2368046.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/4*((-175)\/45 + 3). Suppose h*x - a - 16 = a, -4 = 2*a. Determine m, given that 0*m + 0 + m**4 + 4\/3*m**x - 4\/3*m**2 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/1307106 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348*g**2*m**2 - 1839*g**2*m + 9*m**2 + 70061*m wrt g.\nAnswer: -696*g*m**2 - 3678*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 45 = 36. Let j be 2 - (1 + -1 + -2470). Suppose 3*d + j = 3*w, 1027 + 1424 = u*w + 4*d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161289, 161167, 161045, 160923?\nAnswer: 160801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/15)\/(1\/10). Suppose 5*w - 161 = -j, -j + 16*w - 14*w + 182 = 0. What is the highest common divisor of l and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116? (a) -0.2 (b) 3 (c) -23\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 36*m + 2944 = 0. Calculate m.\nAnswer: -23, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = l - 67, -l = -0*r - r - 25. Let i = r - -21. Suppose -b + 15 + 16 = i. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - k - 1. Let o(a) = -2*a**3 + 6*a**2 - 8*a - 5. Give -6*i(v) + o(v).\nAnswer: -2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**(1\/2)))*t\/(t\/(t*t**(2\/7)\/t)))**(3\/17)\/(t**(-1)*t\/t**(-4\/3))**41 assuming t is positive.\nAnswer: t**(-38933\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**2 - 288664*h + 5207931556 = 0?\nAnswer: 36083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 49\/308582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(18\/7)*b**(5\/6)\/b)\/(((b**(-2\/41)*b)\/b)\/(b*b**(-2\/9)*b)) assuming b is positive.\nAnswer: b**(21859\/5166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/s**5)\/(s\/s**(-2\/7))**(2\/17)*(s*s**(-2\/7))**(13\/2)\/(s\/s**(-3\/8)*s**(-4)\/s) assuming s is positive.\nAnswer: s**(2253\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 283105\/3075 + 2\/(-30). Solve -v = 94 - n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(6655)*1 + sqrt(6655)) + (sqrt(6655) + sqrt(6655)*-2*2 - sqrt(6655)))\/(2*(sqrt(245)*2 + sqrt(245)) + (sqrt(245) - -2*sqrt(245))*-4).\nAnswer: -11*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -2, -61392, -5 in decreasing order.\nAnswer: 1, -2, -4, -5, -61392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3983226 divided by -1991613?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5743 (b) -2\/11 (c) -528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 - 7*u + 1. Calculate q(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.805 + 0.705. Let t = -1.1 + 0.8. What is the second biggest value in -1\/2, t, -3, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 32*u**2 - 3*u + 1. Let h be c(1). Let o = h - 18. What is the remainder when 45 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pips when four letters picked without replacement from sisipispippp?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = u + 4*l, -3*u - 11779*l = -11774*l + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -25*((-8)\/(-4) + -3). Solve -q = -3*o - 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 12*q + 12. Let m be z(-16). Let i = m + -336. Let j be 14\/15 + (-1)\/3. Which is the third biggest value? (a) j (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2*f + 3. Calculate o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 56. Let v be (y\/(-6))\/(6\/56). Let n = v + -44. Is -3 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-14))\/(2\/(-7)). Solve -s*y + 7*y + 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4935, 1, 13, 29, 2.\nAnswer: -4935, 1, 2, 13, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -38, -91, -166, -263, -382, -523?\n\"Answer: -11*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16794?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343))*3 + sqrt(343))*3.\nAnswer: 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106334 divided by -94?\nAnswer: -53167\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, a: 6}. Give prob of picking 4 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r - 65. What is x(14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 197.69.\nAnswer: -3360.73","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -18020.006 - -17998. Let b = k - -0.006. Let x = b - -12.5. What is x rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -6\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 5. Determine v(15).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1544 - -2254. What is x rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265469183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/120 - 2*f**3\/3 - 3*f. Let l(x) be the second derivative of c(x). Let v(i) = -3*i. Calculate v(l(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101179866607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/20 + f**4\/12 + 2*f**2 + f. Let l be w(3). Let v = -10 - l. Solve -3 + 11 = v*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let m(l) = 12*l - 22. Let t(y) = -2*y + 22. Let c be t(10). Give c*m(x) + 44*q(x).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-17) + -1 + 2. Let r be (-69)\/21 + (-4)\/(-14). What is the nearest to 1\/2 in a, r, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -6. Let v be 16\/40*f\/18. Which is the second biggest value? (a) -0.2 (b) v (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, f: 7}. Give prob of sequence iii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 31*k**2 - 27*k - 62. Determine r(30).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -662 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.141 + -1.859. Let t = 1.25 - 0.15. Is g != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28842510 and 105755870.\nAnswer: 317267610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 639\/8 + -80. Which is the nearest to 1? (a) o (b) -2\/3 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3 + 0*l**2 + 1\/4*l**4 + 0*l**3 - 3*l. Find the first derivative of k(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125796*b = 125939*b - 251972*b + 13509 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 15*n**2 + 491*n - 7783. Determine h(19).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (211\/(-5))\/((-5)\/(-50)*-2). Suppose 5*r + 549 - 1995 = -4*l, 5*l - 1785 = 5*r. Let a = l - o. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2. Let t(a) = -127137*a**2. Give t(s(q)).\nAnswer: -508548*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16958 divided by -8479?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(4\/(-2))*(-124)\/(-1085)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 - 554*q - 477. Let z be l(80). Solve z*n - 5*a = 0, -a + 22 = 4*n - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, z: 12, i: 1}. What is prob of sequence iwww?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvv when three letters picked without replacement from pvvvvvvvpv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 22*r - 40 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.41? (a) 2\/9 (b) -6.093 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((((l*l**(5\/9))\/l)\/l)\/l)*(l\/(l*l\/l**15))\/l*(l**1*l)**(-26) assuming l is positive.\nAnswer: l**(-329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1264, 1245, 1226, 1207?\nAnswer: 1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - 2 = -25*b, -2*w - 2*b + 30 - 8 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -124062153?\nAnswer: 124062144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 6*b**2 + 22*b + 1. Let u be x(9). Let o = -20 - u. Suppose 50*n - 56*n = -o. Solve q = 2*f - n, -5*f - q + 16 = -5*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {v: 2, g: 8, d: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) 2 (c) 0.04 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4282943 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 - -0.03. Suppose -3*g + 5*v - 20 = 0, -g - 344*v + 349*v = 20. Which is bigger: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1839 at least -500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -987*y**6 + 2*y**5 + 18*y**3 - 56*y**2 - 2*y + 245 wrt y?\nAnswer: -118440*y**3 + 120*y**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 44 - 20)*(-z + 2*z + 0*z).\nAnswer: 70*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -304, -385, -446, -487, -508?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -8 (c) 0.36 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3759306*f**3 - 2483*f**2 + 3*f + 2 wrt f.\nAnswer: 22555836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1338 and 3568?\nAnswer: 10704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5479*x**2 + 48807*x**2 - 54289*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4595? (a) -34 (b) -0.5 (c) 5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.89 - -0.11. Is w greater than 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (17 + -8 + 5 + -14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-44)\/(c*c\/c**(-20\/7)))**(10\/7) assuming c is positive.\nAnswer: c**(-3420\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*v = 5*p - 183*v + 10, -5*p = -5*v + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13513 is divided by 12666?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, 16 in descending order.\nAnswer: 16, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3278702817 to the power of 1\/2, to the nearest integer?\nAnswer: 57260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/40*1 - 9131\/(-7940). Factor 3\/5*w**2 + 0 + t*w - 6\/5*w**3 - 3\/5*w**4.\nAnswer: -3*w*(w - 1)*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22310*o**5 + 576*o**4 - 9400696*o wrt o?\nAnswer: 446200*o**3 + 6912*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwwwwwwwww. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j - 3. Determine t(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -1876, -6860, -16646, -32854, -57104, -91016?\nAnswer: -136210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*p - 3*p + 3*h, h - 197 = -5*p - 188 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 723, 1585, 2791, 4341, 6235, 8473?\n\"Answer: 172*m**2 + 2*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -75. Calculate the remainder when 74 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810479 and 753.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(608))\/(-4*(sqrt(72) + sqrt(8))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -232. Let t be 6 - 3\/(-9)*-3. Suppose -2*v + 3*z = -t*v + 78, 0 = -4*v - z + r. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/56 and -17\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2695971*v + 2695971*v + 10206*v**2 - 2.\nAnswer: 10206*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 2*h**2 + 2*h. Let z be q(-2). Let o = 5 + -6. Which is the nearest to o? (a) z (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/3907?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 - 6266*q - 226637. Give t(-35).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 214, -560, -1850, -3656, -5978?\n\"Answer: -258*r**2 + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o + 2 + 1 - 1.\nAnswer: -34*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 11*n**3 + 5.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) - (-68685)\/(-5557881). Let o = -3\/5957 + q. Let t = -12791\/3110 - o. Find the common denominator of t and 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-6))\/(-1*(-3)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 0, -27*z - 3*l + 4*l = -30*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34562\/5 or -6911?\nAnswer: -6911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 115 - 237 + 0*g + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**7\/420 + u**6\/120 - u**5\/40 - u**4\/12 + u**3\/3 + u**2. Factor z(w).\nAnswer: (w - 1)**2*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 7 + (57 - 63). Let h(w) = -w**2 + 5*w - 3. Give h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*c + 15 = 0, -2*c = -3*k + 3*c + 19. Let q(p) be the second derivative of 1\/6*p**k + 3*p + 1\/12*p**4 - p**2 + 0. Let q(a) = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s\/s**14*s)*s))**(-50)\/((s\/((s\/s**5)\/s))\/s)**(-38))**(-2\/109) assuming s is positive.\nAnswer: s**(-1780\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64104533 (base 7) in base 3?\nAnswer: 101012212222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5736.79 - 0.3.\nAnswer: 5736.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -22, -1.6, 2\/17, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-5 - 1 + 4)*(6 - 1 - 4)*(293*c - 770*c - 701*c) to the form m + h*c and give h.\nAnswer: -2356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 57*s + s - 213 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 0*w)*(-4 - 8 + 5)*(0*w + 3*w - 4*w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21950 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 63?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10496.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -20*h**3 + 5. Let c(w) = -15*w**3 + 8 + 6*w**3 - 9*w**3 - 12*w**3. Calculate -8*a(n) + 5*c(n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -82, -121, -160, -199, -238?\n\"Answer: -39*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + l**4 - 3 + 2 + 0 + (-3*l**3 + 4*l**3 - 5*l**3)*(-2*l + 4*l - 6*l) to m + i*l**4 + q*l**3 + c*l + a*l**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 162 + 6*a**2 - 1\/3*a**3 + 13*a. What is i(14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 9*m**2 - 8*m + 4. Let q be s(8). Suppose 4*z = x + 35, 5*z + q*x - 28 = -0*x. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -63.095. Let a = 2 - c. Let b = a - -0.09500057. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -5*i - 2*y, y = 4*i - 4*y - 277. What is the greatest common divisor of i and 1449?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.104 - -0.604. What is the third biggest value in -0.06, 1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105431, 210859, 316287, 421715, 527143?\nAnswer: 632571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22111?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*m - 2*r + 7*r, 5*r - 10 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llw when three letters picked without replacement from lxrwwlxllszz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/4840*((-160)\/(-12))\/(-4).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-7)*144\/72*3*5\/585?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 2. Let g be (-51)\/(-15) - u\/(-10). Suppose 5*j + 3*d = g + 24, -5*j + 26 = 4*d. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 4*x + 40425 = 40381, -3*x + 2 + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280627.\nAnswer: 280627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 30681999 = -m, -2*c = -m + 30376574 + 305427. What is c rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2475664, 2, -1 in decreasing order.\nAnswer: 5, 2, -1, -5, -2475664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 6*i**4 + 193*i**2 + 1.\nAnswer: -240*i**3 - 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h + h**2 + 0 + 6 - 2. Let c be m(-5). What is the units digit of (-12)\/(-18) - 80\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79405 times 15?\nAnswer: -1191075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6 = -2*m, 4*m = 117*f - 114*f + 2. Let z be 1416\/96 + f\/8. Solve z = 40*x - 37*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 880 and 24805?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97393620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4336 and -0.815792163?\nAnswer: 4336.815792163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465295961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*i - 3*i**2 + 1 - 715*i + 193*i - 994*i to m + h*i + l*i**2 and give h.\nAnswer: -1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 5*j**2\/2 + 62. Let t(n) = -19*n**2. Determine u(t(f)).\nAnswer: -95*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 124 + 278. Let a = g + -34. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/44 - (-318)\/8. What is the highest common factor of w and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12550115 divided by -2?\nAnswer: 12550115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 15795*p + 94794. What is b(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*i**2 + 85*i**3 + 2*i**2.\nAnswer: 85*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 3\/7 (c) -37 (d) -5\/6 (e) 1\/7 (f) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12385, -12905, -13425, -13945, -14465, -14985?\nAnswer: -15505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/12)\/(3\/(-2)). Suppose s - 5 + w = 0. What is the second derivative of 5*c**5 + 8*c**5 - 19*c**5 + s*c wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n - m + 9 = 0, 4 = -4*m. Let v = -12 + 22. Suppose -n*t + v = -t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 380465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, j: 1, s: 3, h: 3, z: 1, k: 3}. Give prob of sequence hz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*4\/48*8*(-55)\/(-1100)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.1 (c) -0.8 (d) -2\/5 (e) -0.2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-9))\/4*(-84)\/4. Suppose h*n = -1 + 22. Solve -3 = n*i - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293054*i**3 - 11*i**2 - i + 3634 wrt i?\nAnswer: -1758324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-64)\/864 - (-860)\/29835 and 1\/119?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 6)*(-2*f + 1 - 1)*(6*f - 3*f + 0*f).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4928 + -3587. Is 1342 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.8 and -65354.\nAnswer: -1163301.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 - 21488\/2212\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 19*o**2 - 22*o + 76. Suppose -2*q + 57 - 21 = 0. Calculate the smallest common multiple of q and w(18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19342*m**5 - 3*m**4 - 118*m**3 - 103881965*m**2 - m.\nAnswer: 1160520*m**2 - 72*m - 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 5*c**4\/24 - 1756*c**2. Let y(i) = -169*i. Give d(y(z)).\nAnswer: -845*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 39 = 3*w. Let g = -17 + w. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73958178 and 515388?\nAnswer: 147916356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -140*b + 15411. Let a be d(110). Let h(p) = -p**3 - 4*p**2 - 5*p - 3. Let z be h(-3). Solve n - 15 = 4*u, -2*n + z*n = 3*u + a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 65. Let q be n(0). Calculate the greatest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1063 and -15.\nAnswer: 15945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134493219881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + ((5 + -3 + sqrt(539)*-1 + -1)**2 - (((sqrt(539) - (sqrt(539) + -1))**2 + sqrt(539))*-6 - (2*sqrt(539) + 4)**2)).\nAnswer: 140*sqrt(11) + 2714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6*u - 112 = 2*a, -5*a + 677 - 676 = -4*a for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 201, 601, 1361, 2601, 4441?\n\"Answer: 20*j**3 + 20*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133208 = -5*q + 5*g + 480357, 2*q + g = 245429. Is q 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 4:39 AM and 5:14 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 93.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10*c - 32 = 0. Let s be (4 + 920\/(-228))\/(c\/6). Is -1 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23110312 (base 5) to base 8.\nAnswer: 624155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g**3 - 20*g**2 + 44*g + 3. What is j(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 33*s**2 - 42*s + 48. Let p(b) = b**3 - 4*b**2 + 8*b - 9. Let a be p(2). Let j(v) = -v**3 - v**2. Let u(k) = a*q(k) + 12*j(k). Factor u(o).\nAnswer: -3*(o - 2)*(o - 1)*(5*o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/23058 and 103\/3024.\nAnswer: 184464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (-8 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1251 + 0.5\nAnswer: -1250.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2)*((-2)\/(-8) - (-159)\/(-684))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-80)\/25 - -3)\/(22\/(-6710)) is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2074016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:31 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2202.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 94093, 93375, 92657, 91939?\n\"Answer: -718*d + 94811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97.7 - 96. Let r = -2 + q. Which is the closest to -1\/6? (a) 2\/3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 30*d**2 + 12*d - 7*d to k*d**2 + u*d + r and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**5 + 40*v**4 + 108*v**3 + 72*v**2 = 0.\nAnswer: -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/(-6) + 3\/9. Suppose 5*n + x = -3*u, -6*u = -2*u + n - 8. Suppose -u*c + 48 = -0*c. What is the least common multiple of 6 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3\/5 + 10904*k**2\/5 - 21814*k\/5 + 10908\/5 = 0.\nAnswer: -5454, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*d + 253 - 43, -4*t + 4*d + 160 = 0. What is the remainder when t is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -688609*-0.2\nAnswer: 137721.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 105426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5476)\/35594)\/(2\/(-1118)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzjiijizzrjrzrjiiirj. What is prob of sequence irr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0344114 millilitres to litres.\nAnswer: 0.0000344114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 70. Solve -v*j = -4*n - 15, 16 + 7 = -5*n + 2*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -50, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43\/5? (a) -19 (b) -3 (c) 358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013286.\nAnswer: 2, 3, 281, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1434513?\nAnswer: -1434514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/321*1\/(-12)*-2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from 2593528.\nAnswer: 2593527.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34302*y**2 + 34224 wrt y.\nAnswer: 68604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(816)*2)\/(-1*sqrt(12)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) 0.4 (c) -234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 25931868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15 - -16) + (-5 - (2 + -3)). Let k(x) = -48*x + 156. Let g be k(4). Is d at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101.745 - -102. Let q = o + -0.24. Round q to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {e: 2, j: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 619339863 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.2. Let g = n - -0.1. Let i be 10 + (-19 - 30\/(-3)). Which is the smallest value? (a) g (b) 8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13689165979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -104, -129?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303689945*z**4 - 787417525 wrt z?\nAnswer: 1214759780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-18) - (-129)\/18. Suppose 0 = -4*t - 2*z + 658, -8 = -5*z + u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401*f**2*k*q - 84*f**2 + f*k*q + 3*f*k - 3*f*q + 4853*k + q wrt f.\nAnswer: 802*k*q - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-6)\/(3 - 0))*-1. Suppose j = 8*s - 5*s - 63. Let o = 23 - s. Solve 4 + 0 = -o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 4 - (86 - 87)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*m - 248223 = -0*m + 566991. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.804109um in millimeters?\nAnswer: 0.002804109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 3*j + 7*j)*(14 + 1334 + 822) to y + b*j and give b.\nAnswer: 17360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 413 - 367. What is the remainder when 86 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6490, 1, -9 in descending order.\nAnswer: 6490, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -119, -192, -275, -368, -471, -584?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2608821 is divided by 241?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2689, 2685, 2751, 2923, 3237, 3729, 4435, 5391?\n\"Answer: 6*x**3 - x**2 - 43*x + 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o**2 + 3*o + 2. Let x be m(-3). Let h = x + 1. Suppose 0 = -2*q + 4, h*t = -t - 5*q + 82. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1964653 or -0.11?\nAnswer: 1964653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1539) - (sqrt(19) + 1 - sqrt(19))*1) + ((sqrt(190)*2*4 + sqrt(190))\/(sqrt(80)\/(sqrt(8) + sqrt(24)\/sqrt(3))))**2)*-6.\nAnswer: -36906 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2121211102000 (base 3) to base 6\nAnswer: 45514213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*u + 95*u**4 + 18*u - 10*u + 18*u**4 wrt u?\nAnswer: 1356*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13027 - -13038. Sort 0, w, -1, 2, -4.\nAnswer: -4, -1, 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d**2 + 2 + 5*d - 3814*d**3 - d**2 - 4*d. Let x be b(3). Round x to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 142797833 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3056 and 161152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.2 + 25. What is the biggest value in -2, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**4*h*h*h)))\/(h\/(h**(-2\/3)\/h))*((h*h\/(h*h\/h**(2\/15)*h))\/h)\/h**(2\/7)*((h\/(h*h**(-2\/5)))**(7\/3))**21 assuming h is positive.\nAnswer: h**(2392\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(72) - -2*sqrt(72) - sqrt(72)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:50 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -4, 846, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28780*-0.0001\nAnswer: -2.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1023104054 and 51\/16.\nAnswer: 8184832432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 14*l + 30 = 0. Let v be (-99)\/(-21) - 4\/(-14). What is the highest common divisor of v and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.232*-0.1\nAnswer: -1.7232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14731789 is divided by 2571.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 234528679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 36*c = -8. Put -3, c, -5 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22 greater than or equal to 0.6184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505909203?\nAnswer: 7, 223, 1605323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15497?\nAnswer: 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4438 + -2921. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28464.937 - -28485. Let d = k + -0.063. Put d, -1\/6, 1 in decreasing order.\nAnswer: d, 1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.58 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + 4 + 872*z**2 - 1347*z**2 - 3.\nAnswer: -5*z**3 - 475*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5280 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40479.0000392376 - 40479. What is p rounded to seven dps?\nAnswer: 0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/32*1\/2\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2561755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -283537 < -283538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -3, -6, -5847, 4 in increasing order.\nAnswer: -5847, -6, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:19 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*j + 1043 = -682 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20487182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -29372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 2209*v**6\/60 + 137*v**5\/60 - v**3 + 5411*v**2. What is the third derivative of b(a) wrt a?\nAnswer: 26508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 126128714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -21*q + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -875, -1056, -1237, -1418?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-11) - 399\/(-77). Suppose 0 = 2*d - z*d + 12. Suppose 4*s = 5*i - 34, 2*s = -d*i - i + 28. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:27 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uums when four letters picked without replacement from {n: 3, u: 5, m: 3, b: 1, s: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o - 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 27*t - 4*o + 1227 = 0, -2*t + 2466 = 5*o. Which is greater: t or 13686\/11?\nAnswer: 13686\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:25 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 39*w + 40 - 30*w - 16*w. Let z(u) = 2*u**2 + 7*u - 7. What is the remainder when x(0) is divided by z(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 26*v**2 + 19*v + 154. Let i be y(25). Solve 5*d - i - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -868 and 4?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-68)\/340)\/(14\/(-30)) + (-8506)\/(-14) is divided by 126.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 7*w + 9*w. List the prime factors of t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {t: 3, o: 1, q: 1, l: 5, p: 1, w: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 6*q + 10. Let s be i(4). Let y(c) = -221 + 221 + s*c. Let r(f) = f**2. Calculate r(y(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -6*v**2 + 0*v + 0*v**3 - 1\/6*v**4 + 0. Let t(y) = -y + y - y + 0. Determine t(h(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1926 + -1187. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(15\/(13050\/29))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -3 + ((sqrt(21)*-1)\/sqrt(7))**2 + -5*((-2*sqrt(243))**2 + 1))*6.\nAnswer: -29190 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 10.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336557448 to the nearest integer?\nAnswer: 18346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y - 6. Let m(a) = 363164*a. Give n(m(r)).\nAnswer: -3631640*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-52)\/(-39))\/((-2)\/(-36)). Let d(z) = -z**2 - 51 + n + 27. Let u(q) be the second derivative of -q**3\/2 + q. Give u(d(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 983629 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 9 + -1 + 0. Suppose -4*v + 14 = u, -w*u + 2*v = -7 + 3. Suppose u*n - 2 = -0, 2*t = 4*n + 10. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8648*l - 60300. What is y(-7)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arnnrllmaailr. Give prob of sequence lama.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 12. Let h be g(-14). Suppose -5*i + 2*v - 6*v = 10, 5*i = h*v + 20. What is the second derivative of -35*m**2 - 17*m + 69*m**i - 3*m wrt m?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 622 = -3*s - 545, -5*s + 91 = 4*y for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 30. Suppose 11*p - p + 210 = a. What is the remainder when 68 is divided by (1020\/p)\/(-5) - (-2)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggaa. What is prob of picking 2 g and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 1. Let q be g(2). Suppose -l - 2 = -q. Calculate the remainder when 16 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-88 - 6 - 60)*(6 + 1 - 1) - 1 + 5 - 2)*(h**2 - 5*h**2 + h**2) to the form q*h**2 + f*h + d and give q.\nAnswer: 2766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16\/5 (b) 9 (c) 6\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 20\/109423, -1.03?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alj when three letters picked without replacement from pttplpftlalljpptfppp.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300.7 - 318. Let s = t - 1.7. Let z = s - -19.00123. Round z to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -754.4431 to the nearest integer.\nAnswer: -754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30 - (406\/(-105) - -3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*n = -7, -608*s + 612*s + 4*n + 32 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 9*t**2 + 10*t - 15. Let s be i(8). Let r = 6 - s. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -7.759.\nAnswer: -4.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1694709 or -1\/4?\nAnswer: 1694709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -0.5, -31\/2628?\nAnswer: -31\/2628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**2 - 34*b - 292. Let x be o(-6). What is the greatest common factor of 9310 and x?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -1606.9?\nAnswer: 1605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q)\/q**(1\/4)*(q\/((q*q**2)\/q))\/((q*q*q\/(q*q**(-1)*q))\/q))\/(((q*q**(1\/4)\/q)\/(q\/q**(-6)))\/(q**(2\/5)*q**6*q*q*q)) assuming q is positive.\nAnswer: q**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let u(f) = 3*f**2 - 13*f + 6. Let x be u(4). Let n = l - x. What is the biggest value in -1, 2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, 8\/5, 3 in ascending order.\nAnswer: -3, -2\/5, 8\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 13*b**6\/2 + 7*b**4\/6 + 19*b**3\/6 - 1382*b**2. What is the second derivative of s(t) wrt t?\nAnswer: 4680*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 take away -35606591?\nAnswer: 35606588.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*f + 65, 0*f = f - 2*t + 15. Let m(q) = q + 12. Let l be m(f). Which is smaller: l or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29\/33 - (-138)\/(-253)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134.9 + 138. Let l = -6.1 + t. Which is the third biggest value? (a) -0.41 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7 + 1530*u - 1502*u - u**2 - 5. Let c be n(16). Suppose -8*k + c = -5*k. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 21*s - 9. Let f be c(-15). Let t = 84 - f. Suppose -t*a = -w + 6, 4*w + 4*a - 14 = 58. Solve 0*k - w = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x)**47*x\/x**(-4\/9)*x*x\/(x*x**(-3\/14)) assuming x is positive.\nAnswer: x**(-7279\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*d**3 + 4813654*d**2 + 119109175*d?\nAnswer: 156*d + 9627308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac4 - 5b94?\nAnswer: -50b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089934.\nAnswer: 2, 593, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-14 + 0 - -13) + 14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = -2*q + 7*q, 2*v = 5*q + 7. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 less than 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 5*g - 18. Let y(o) = -4*o**2 - 10*o - 35. Let f(p) = -6*y(p) + 11*z(p). Is f(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -275 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.98 - 0.02. Let f = 4.6 + r. Let q = 57.16 + -56.96. What is the fourth biggest value in 2\/7, -0.3, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13405 - 4333 = 504*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 13*x**3 + x**4 + 2 + 4 + (0*x + 0*x + 2*x**4)*(-2 + 5 - 5) - 3*x**4 - 17 + 17.\nAnswer: -6*x**4 - 13*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1217496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 20, -2948 = -3*n - 0*a - 4*a. Suppose 4*z + 4*m - 1328 = 0, -5*z + 2*z + m + n = 0. Let d = z - 157. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - w = -0*w - 6, 0 = b - 5*w - 3. Suppose 0 = -b*d + 9 - 3. Suppose d*r = 4*r - 298. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -334d?\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1a9067 (base 16) to base 4\nAnswer: -12221001213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1260 + -1223. What is the remainder when a is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 1, i: 9}. Give prob of picking 1 a and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g. Suppose -2*u = -0*u + 2. Let t = 6 + u. Let q(b) = -4*b + t - 5. Determine m(q(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707, 1265, 1837, 2423?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 45 + 2*x**2 + 9.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/3)\/((-3)\/(-135)*6). Let b = -96 - m. Factor -1\/4*x**3 - 1\/4*x**b + 0 + 1\/4*x + 1\/4*x**2.\nAnswer: -x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t + 64*t + 130*t + 382*t + 46*t + 268*t**2 wrt t.\nAnswer: 536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 4, x: 2}. Give prob of picking 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcqnxcqcqc. What is prob of picking 3 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 774127 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x + 1\/2*x**2 + 9\/2.\nAnswer: (x + 1)*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207.2 - 203.2. What is the fifth biggest value in t, -6, -3, 0, 49?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101366 divided by 1?\nAnswer: -101366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let s(q) = 2*q + 5. Let h be s(5). Suppose -3*o = -4*o + h. Calculate the highest common factor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + b**2 - 2*b + 11. Let c(f) = 50*f**3 - 7*f + 55. Let h(j) = -c(j) + 5*i(j). Let z(g) = g**3 + g**2 - g. Calculate h(s) - 5*z(s).\nAnswer: -50*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 + -247. Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1417 or -7084\/5?\nAnswer: -7084\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25095 is divided by 2455?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -128*f + 53. Does 12 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 32. What is the remainder when 127 is divided by j(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 3*p - 4. Let v be q(4). Suppose x + 3 - 1 = v. Let g = x - -14. What is the least common multiple of 27 and g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35187794?\nAnswer: 2, 101, 174197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -18. Put 3\/5, 0.3, q in descending order.\nAnswer: q, 3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 2*o**4 + o**4 + 118*o**4 + 3156 - 3156 - o**2 - o**4 + o**2 + (-3*o**2 - 4*o**2 + 5*o**2)*(-5*o**2 + 0*o**2 + 3*o**2).\nAnswer: 125*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -22*f**2. Let t(i) be the second derivative of -i**3 + 13*i**2\/2 + 7185*i. Give q(t(h)).\nAnswer: -792*h**2 + 3432*h - 3718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 2. Let f be z(2). Let v be (-4)\/(-10) + 374\/(-110). Suppose 4*x - 3 = 17. Sort f, x, v.\nAnswer: v, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*u - 288*u + 3*h + 26 = 0, -h + 4 = -u + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2 - (9 - 8). Suppose t*l - 12 = 273. Let n = l - 41. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/55, 5, 0.4?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.079 rounded to 0 decimal places?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70338542*r**5 + 20549199*r**2 wrt r?\nAnswer: -4220312520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-160)\/150)\/(-4))\/((-6)\/(-5))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**3 - 79 + 154 - 76.\nAnswer: -20*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 10, v: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**4 - 4*u**3 - 4*u + 7. Let w(m) = 9*m**4 + 3*m**3 + 3*m - 7. Let x(r) = -3*l(r) - 4*w(r). Differentiate x(f) with respect to f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050064 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*d - 13 = 0, -4 = 2*z + 5*d - 22. Let i = 275 - 279. Is ((-92)\/(-16))\/((z\/i)\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j. Let a(r) be the second derivative of r**5\/20 + r**4\/12 + r**3\/6 - 2*r. Give a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13622 = 4*x - 80211, -3*x = 5*g - 49948. Suppose -47*j + 36328 + x = 0. What are the prime factors of j?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**2 + 17. What is the hundreds digit of y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 9*u - 1. Let c be w(-8). Let z = c - 4. Suppose 7 + 20 = z*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**7\/840 + q**6\/120 + q**5\/48 + q**4\/48 + 8*q**2. Solve u(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - g + 8 = -2*x, 4*g - 6 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let k(j) = 95*j - 35 - 80 + 12 - 30. Determine -266*c(v) + 2*k(v).\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*h + 2*t - 1, -16*h - 83*t + 84*t + 75 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3, 911 in descending order.\nAnswer: 911, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*((10 - 10*k - 10)*(0 + 2 + 0) + (0*k + 2*k + 0*k)*(-4 + 3 + 0) + 3 - 2*k - 3).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8652, -8473, -8164, -7725, -7156, -6457?\n\"Answer: 65*y**2 - 16*y - 8701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.7 and 55.\nAnswer: 65.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11488?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/v**(-11))\/(v**(-3))**12 assuming v is positive.\nAnswer: v**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5320033 (base 6) to base 13\nAnswer: 90cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316215 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*w - 3*l, 0 = 3*w + l + 3*l - 18. Solve 0 = 4*c - w*k, 2*c - k - 6 = 6*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -646.81 (c) 1\/7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 20\/4 - (-7)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50482, -48738, -45832, -41764, -36534, -30142, -22588?\nAnswer: -13872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 15. Suppose u - p*u = -q + 1, 4*u = -5*q - 23. Let c(k) = k**3 - 8*k**2 + k - 10. Let x be c(8). Put x, 0, q in descending order.\nAnswer: 0, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*j + 15 = 161*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -439 + 175. Let d = y - -264. Solve -4*o = -d*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 544 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + 58*v**2 - 28*v + 24. Let u be f(14). Let z be 2\/14 + u*(-7)\/(-196). Let o(q) = 0*q**2 - 1 - q**2 - q**2 + 2*q. Calculate o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-75)*81)\/(5*4\/20).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 3, 23, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287874 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6407927, 12815865, 19223803, 25631741?\n\"Answer: 6407938*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 33. Let g be n(-6). Let x = g + -13. Let t be (3 - x\/14) + -3. Sort -0.4, t, 1\/18 in increasing order.\nAnswer: -0.4, t, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 8*h**2 - 8*h + 13. Let z be 16\/24*(-15)\/(-2). Suppose -z*i = 16 - 66. Calculate the lowest common multiple of n(3) and i.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55203, -55227, -55267, -55323, -55395, -55483, -55587?\n\"Answer: -8*n**2 - 55195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*w = -77*w - 4316 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.694886 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 - 85*h + 2. Suppose -5*g = -2*u + 35, u - 59 + 19 = 5*g. What is the tens digit of l(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 408.954 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486, 476, 450, 402, 326, 216, 66, -130?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a**2 - 8*a - 18. Suppose -36*o - 2*i = -35*o - 11, 4*i = 4*o - 8. Let k(n) = -9*n**2 - 5*n - 12. Calculate o*g(w) - 8*k(w).\nAnswer: 2*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:00 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2354\/4777 or 0?\nAnswer: 2354\/4777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -16) + 5*(4 - 5). Calculate the remainder when 156 is divided by (27\/4)\/(27\/d + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ff6 (base 16) in base 6?\nAnswer: 203450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19*1\/(-16) + 1. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-3) - (-2)\/(-2). Let d be h - (-4 - 0\/1). Let v = 81 + d. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 115 + 154 - 43)*(-3 - 2*f**3 + 3).\nAnswer: -442*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, -42, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) - (sqrt(720)*1)**2 - sqrt(45)*5)*-4.\nAnswer: -2880 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 32*p**3 + 3*p + 44*p**3 + p.\nAnswer: 12*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 1415. Let w(y) = -4*y + 2122. Determine 7*f(t) + 5*w(t).\nAnswer: t + 705","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*z - 43*z - 38*z + 112344. What is the remainder when z is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 947006 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-240)\/(-45)*90\/8. Let g be (-6)\/(-4)*i\/(-18). Put g, -2, 3 in decreasing order.\nAnswer: 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 4*c - 610. Suppose c = -6*b - 559. Is 7 a factor of 2 - ((-6)\/8)\/((-4)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209471259 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 792, 795, 798, 801, 804, 807?\n\"Answer: 3*f + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 1\/5 (c) 1.5 (d) -0.1 (e) 6 (f) 12.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673981 = -11761*g + 666773 for g.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4162*v - 3380*v + 10166 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 287154.1 rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*w - 297*w + m = -51583, -4*m - 61880 = -6*w. Is w at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521263321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -38*g + 10. Let w(l) = -77*l + 21. Let k(n) = -13*i(n) + 6*w(n). Let x be k(-5). Let q = 321 - x. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 570*m**3 + 58557*m**2 + 57988*m.\nAnswer: m*(m + 1)*(m + 133)*(m + 436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6079*z - 2901*z - 3173*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a + 4*o = 285, -5*a - 4*o = -1505. List the prime factors of a.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 0.06, -9, -1\/22, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - t**2 + t - 1. Let l = 2 - 3. Let y(k) = -4*k**2 - 7*k**3 - 2 - 3 - 21*k - 1 + 26*k. Let x(w) = l*y(w) + 6*m(w). Suppose x(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4399142 = 7*z + 9*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/3970 and -31\/10.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615235466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1689 - 1918 - 1533 - 1282 - 2172)*(18*t**3 + 5*t**4 - 18*t**3).\nAnswer: -26125*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*y - 30, 2*j - 10 = 3*y - 28. Let d(x) = x - 1. Let c be d(y). Let k(f) = -f**3 + 6*f**2 - 2*f + 3. What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2188)\/(-19692)*378\/2*15\/14*-2\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 688746, 689182, 689618, 690054, 690490?\nAnswer: 690926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 1. Suppose -5*x + 35 = 5. Suppose 41 = 5*j - 4*q, -4*j = -x*j + 5*q + v. Calculate the highest common factor of 27 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -276 - 22?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1327685 and -61\/40540.\nAnswer: 5310740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6 - 21\/(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (6 + 21) - -33?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 + -0.08. Let w = 0.01 + u. Which is the second smallest value? (a) 2 (b) 4\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 71678, 2, 0.03, 4\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j + 6, 4*w - 3*j = 23. What is the smallest common multiple of 4 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 25*y**2 + 2518*y - 320033. Let p(f) = -5*f**2 + 2*f - 2. Let x(v) = i(v) + 6*p(v). Let x(m) = 0. What is m?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6*t**2 + 1 - 120*t**3 + 397*t**3 + 3.\nAnswer: 277*t**3 + 6*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2. Let t(j) = -32*j**2 - 11*j + 11. Let o(p) = 11*p**2 + 4*p - 4. Let h(z) = -11*o(z) - 4*t(z). Determine y(h(b)).\nAnswer: -98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 9. Let m = 241 + -235. What is the smallest common multiple of m and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and -169\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*i + 2. Let a(b) = i + 2*b**2 + 4*b + 1 + b. Let v be a(-3). Solve -v*s - d + 25 = 0, 5*d - 33 = -5*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-10))\/(20\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 20, 0 = -3*o - 9*l + 13*l - 2*l + 2 - 8 - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.4 - 2.4. Let k = 50.984 - 51. Let t = 0.216 + k. What is the closest to 9 in -3, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443 - 265 - 180 + 87*j**2.\nAnswer: 87*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 1. Let o(u) be the third derivative of 5*u**4\/24 + u**3\/3 - 4*u**2. Let h(s) = 7*b(s) - 2*o(s). Suppose 32*a - 36*a - 12 = 0. What is h(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let l = g - -5. Solve 5*n - 19 = -3*f + f, -l*n + 13 = 2*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 2*q - 1223. What are the prime factors of q?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 36*t**2 + 11*t - 41. Let z be l(18). Calculate the highest common factor of z and 1256.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 9, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6054 is divided by 1624?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36221 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*z + 135 = 175, -2*y + z - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14607 + -14608. Which is the second smallest value? (a) 2\/3 (b) 10\/29 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 + (-304)\/80. Suppose 4*y - 8 = -332. Let u = y + 81. Sort u, -20, x, 3 in decreasing order.\nAnswer: 3, u, x, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2767 - -0.2783011. What is v rounded to 5 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:54 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130485.69 rounded to the nearest 10?\nAnswer: 130490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose -4*a - 2*f = -5*f - 42, f - 43 = -5*a. Solve -4*r - 4 = 3*s, a = -3*s - x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/13, 24, 2\/3, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 162 + 162.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + f + 4*f - 2*f)*(5*f**3 + f**3 - 5*f**3).\nAnswer: 2*f**5 + 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 10:58 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 13*l + 1. Suppose 0 = w + 3*x - 21, x = 4*w - 94 - 55. Suppose -2*y = y + w. What are the prime factors of v(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125682 is divided by 41893.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 11}. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 228*c**3 + 3468*c.\nAnswer: 20*c**3 - 1368*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83253 is divided by 11813.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 58 - 68)*(4*f**3 - 4*f**3 - 6*f**3) in the form a*f**3 + w*f**2 + c + k*f and give a.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, -23, -0.4, -1 in decreasing order.\nAnswer: 2\/3, -0.4, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let h(g) = 2*g + 2. Let w(b) be the first derivative of -2*b**3\/3 - 17*b**2\/2 - 7*b - 5. Let t be w(-8). Determine t*h(r) - 4*v(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 2*s + 46 - 34\/3*s**3 + 1\/6*s**4 + 135\/2*s**2. What is the first derivative of o(k) wrt k?\nAnswer: 4*k - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7.88.\nAnswer: -23.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttdttdttttdtt. Give prob of sequence dtt.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 93, 117, 121, 99?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 5, -7, -23, -43?\n\"Answer: -2*x**2 - 2*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10101000010 (base 2) to base 3\nAnswer: -1211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:41 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 - 9*p**2 - 2*p - 36. Let v(z) = 6*z**3 + 17*z**2 + 4*z + 72. Give 11*g(y) + 6*v(y).\nAnswer: 3*y**3 + 3*y**2 + 2*y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5348 by -2.\nAnswer: 2674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 398387455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = -0*c - 2*c, 3*c + 5*w = -1. Let y be (c\/4)\/((-6)\/(-24)). List the prime factors of (-100)\/(-35)*(-7)\/y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -4, 2, 1 in descending order.\nAnswer: 2, 1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -61. What is the remainder when 32 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 2}. Give prob of sequence vyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 3*r - 3. Suppose -c + 2*u = -2*c + 1, 3*c - 2*u = -21. Determine i(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 147*u. Let j(y) = 5*y. Determine j(c(m)).\nAnswer: 10*m**2 + 735*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) 5 (d) 0.3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(833)*-2*-5 + -4 + (-3*(sqrt(2448) + sqrt(2448)*-1 + sqrt(2448)) - (sqrt(2448) - 5*(-1 + sqrt(2448)))))**2.\nAnswer: -1148*sqrt(17) + 114357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 3*p + 5 + 4*p + 2*p - 7*p + (1 - 1 + 2)*(3*p - 4 + 4) + p + 0*p - 2*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -569, -1287, -2293, -3587, -5169?\nAnswer: -7039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 6*m**2 - 10*m + 21. Let o be k(5). Let r(i) = -i**2 - 7*i - 3. Give r(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 - 128*p. Let w(t) = -4*t**2 - 128*t. Calculate 5*s(k) - 4*w(k).\nAnswer: -4*k**2 - 128*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 11 + 3 - 3 + 2 + (-4 - 3 + 4)*(1 - 1 + 1))*(i + i**2 - i) as v + o*i**2 + p*i and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.033.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66101.24 times -182?\nAnswer: -12030425.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*o**2 + 2 - 2*o**2 + 2*o**2 + 2*o**2 + (-2*o + 2*o - 4*o**2)*(7 + 6 + 3) to the form i*o + f*o**2 + b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -16. Let i = -98.6 - 0.4. Let r = i - -98.7. What is the third biggest value in r, f, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10092 is divided by 8040.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d + 6. Suppose 26 = s - 5*m + 3, d*s + 3*m + 3 = 0. Suppose 7*b = s*b - 20, 4*b = -4*r + 16. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589053 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 121455?\nAnswer: -121457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6981 - 72997 = -2063*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztttzztttztttt. What is prob of picking 4 z?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*g = -6, 0*g = -5*n + 4*g - 22. Which is bigger: n or -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 70487920?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -26*j - 307. Determine g(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 0.3. Let d = y - 1.09999884. What is d rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112315442639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*p**3 + 3 + 0 - p**4 - 4*p - 3 + 41*p**2 - 427*p**3 to the form k + x*p**2 + h*p + l*p**4 + j*p**3 and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/25)*t**(-3))**(3\/26) assuming t is positive.\nAnswer: t**(-72\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 17. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 4:43 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 50, 7259 in descending order.\nAnswer: 7259, 50, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/20 and 27\/6920?\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*r = d - 857, 5 = r. Suppose 14*x + d = 21*x. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/214 and 87\/22.\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176965 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 3, u: 1, r: 6, b: 1, c: 1, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 552 - 565. Which is smaller: v or 1\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2 + 2*d + 17. Let z(h) be the first derivative of 7*h**3\/3 + h**2\/2 + 8*h + 9. Let u(r) = -6*k(r) + 11*z(r). Determine u(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -12, 0.1, 111, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43648656?\nAnswer: 2, 3, 17, 149, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8, 8 in descending order.\nAnswer: 9, 8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*o, 5*y + 4*o + 150 - 644 = 0. Suppose 917 = 5*h - y. Suppose 0 = -0*q - q + h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = 4*u - 9, 2*u + 2*i = 0. Suppose -u*a + 3*o = -93, -49 = -3*a - 2*o + 69. What is the remainder when 140 is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 248. Calculate z(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 5*q + 4*q)*(1 - 3*q - 1 + (0*q + 0*q - 2*q)*(0 + 4 - 3) + 4 + 3*q - 4 + (-6*q + 8*q - 40*q)*(-1 + 4 - 5)*(0 + 0 - 1)).\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a23677 - -20?\nAnswer: 1a23697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 15*x**2 + 13*x - 11. Let b be u(-14). Solve -3*m = -6 - b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -933290 in -2\/9, 19, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 2*x - 2. Let f be u(2). Let z = -0.0185 - 0.0235. Let n = z + 5.042. Which is the closest to 2? (a) n (b) f (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*f + 366, -c + 240 = c - 4*f. Let p = -356 + 357. What is the units digit of (c - (-4)\/1) + p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*l - 358, 4*l - 2*d = -0*d - 290. List the prime factors of (-5)\/(2\/l*(-2)\/(-1)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What is the third derivative of -155*y**5 + 13232*y**3 - y**2 - y - 9641395 wrt y?\nAnswer: -9300*y**2 + 79392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7320828608 less than 1241?\nAnswer: -7320827367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 1400 + x**3 - 1404 + x**4 - 2*x to the form f*x**4 + n*x**2 + c*x + l*x**3 + y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75877052 to the nearest integer?\nAnswer: 8711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -208782.4 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -177230, -177199, -177168, -177137, -177106?\n\"Answer: 31*j - 177261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -27354\/13, -4, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/25895 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t + 20. Let s(v) = -3*v**2 + 9*v + 41. Let j(z) = 5*n(z) - 2*s(z). Calculate j(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18293, -36592, -54891, -73190, -91489, -109788?\nAnswer: -128087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 3*g**5\/4 - g**4\/4 - 11*g**3\/2 + 110*g. What is the second derivative of l(a) wrt a?\nAnswer: 90*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 143*y**3 + 2*y**2 - 2*y. Let j be g(2). Let s = j + -243. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 107 = -w + 124, -5*w + 3*x + 59 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n**2 - 3*n**2 + (2*n - n + 0*n)*(-n + 0*n + 0*n) - 9*n**2 + 43*n**2 - 3*n**2.\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.427 - 1.547. Which is the fourth biggest value? (a) 8 (b) -1 (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:58 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - y + 235 - 183 = 0, 0 = 2*p + 3*y - y - 58 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7790, 15571, 23352?\nAnswer: 31133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24*t**2 + 9*t + 11. Let o(n) = -74*n**2 - 30*n - 34. Give -20*j(f) - 6*o(f).\nAnswer: -36*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 2202340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2502, 5147, 7936, 10869?\nAnswer: 13946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/3 + 1 - (-622)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(28\/9)*(w*w*w*w**(2\/9)\/w)\/w**(-16) assuming w is positive.\nAnswer: w**(292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 12*h - 5. Suppose 71*s - 68*s + 33 = 0. What is the smallest common multiple of 24 and f(s)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 1305272576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**1\/m)\/m)**(-13\/4))**0)**(2\/35) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.806 times 907\nAnswer: 6173.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118756 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 144, 236, 348, 486, 656, 864, 1116?\n\"Answer: k**3 + k**2 + 68*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4339545960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:18 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/72 and -81\/10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 592200.98 to the nearest one hundred.\nAnswer: 592200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3244 = 77. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -451926 (base 10) to base 12.\nAnswer: -199646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/108 + 1045\/756. Let o = -2869 - -8683\/3. Find the common denominator of b and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*l**3 + h*l**3 + 1954*h - 737*l**3 + 11*l wrt h?\nAnswer: -2*h*l**3 + l**3 + 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4717, -4719, -4723, -4729, -4737, -4747?\n\"Answer: -z**2 + z - 4717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {p: 3, o: 1, r: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16419*y**2 - 8988 wrt y?\nAnswer: -32838*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 209247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, w: 3, p: 3, t: 3, n: 2}. Give prob of sequence sw.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*10\/(-200)*(-24)\/30?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 155 = -5*m + 99, 4*w - 3*m = 112. Suppose 2 = -2*s + 6. Let j(n) = 5*n**2 - 2*n. What is the remainder when w is divided by j(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-24)\/5 - -3)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10292349 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5257705870 to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -383 - -383. Solve u = -3*v + 4*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25615 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let u(v) = -11*v. Let m be u(-1). Let j(h) = -m*h + 10*h**2 + 3*h + h**2. Let i(t) = 7*t**2 - 5*t. Let d(b) = 8*i(b) - 5*j(b). Give r(d(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220194060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.233 + -177.233. Let t = -177.00000129 - x. Round t to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*p - 211*p = -33590 - 164762. Calculate the highest common divisor of p and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 94. Suppose -w*o = o - 155. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6126723 is divided by 235629.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7434a7 - -48?\nAnswer: 743544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y = -41*y + 19. Suppose 9*s = y + 8. Suppose -k + 20 = 4*k. Sort 5, -4, k, s.\nAnswer: -4, s, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*i**2 - 132*i - 665*i**2 + 132*i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Suppose 2 = 4*o + 10. Let b = s - o. What is the least common multiple of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7673 = 5*b + 5*i - 227, 0 = b - 4*i - 1575. Round b to the nearest 10.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t - 3*j - 1399 = 0, -5*t + 1705 = 5*j. Let b(d) = -10*d**2 + 7*d - 6. Let h be b(5). Let i = t + h. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((76 - 47) + -7)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 - 2*s - 6. Let k be w(-7). Let a(t) = -t**2 + 8*t + 13. Does 3 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 59*o**2 + 218*o - 114. What is k(-55)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5 - o**2 + 3*o**3 + 3 - 4*o**3. Let f be q(-2). Suppose -19 = -z - 4*t, 3*z + 2*z + f*t = 23. Solve 0 = -y + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(2*b + 0 + 0) + b - b + 2*b)*(3*b + 3*b - 5*b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -23 - 65. Let i = w + 6. Suppose 5*d - 22 - i = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30122003 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -25. Suppose -h = -2*b - 17, 5*b + 5 + 13 = -h. Calculate the remainder when f is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18896 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1466\/12)\/((-45)\/2214*-3). Let s = -1998 + w. What is the common denominator of 14\/120*(-30 + -4) and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227466217 is divided by 2436?\nAnswer: 2433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -590296643*m**2 + 8*m + 45130316?\nAnswer: -1180593286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1837 divided by 167.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**2 - 192*a + 95*a + 90*a + 0*a**2 as s*a**2 + m*a + i and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**4)**(-16\/7)\/(m**(3\/5)\/(m\/m**(1\/2))))**(-47))**(2\/11) assuming m is positive.\nAnswer: m**(37929\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -6?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233383191?\nAnswer: 3, 17, 4576141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -13 - (2 + -1) - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4862 + 357 = 4400*y + 3551 + 5144 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:04 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -o + 595, 497*g - 494*g = -24. Calculate the remainder when o is divided by 143.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18417.29ng in grams?\nAnswer: 0.00001841729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*o - 53*o - 15*o**2)*(-54*o**2 - 61 + 61) to the form x*o**2 + b + n*o**3 + y*o + z*o**4 and give z.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**3 + 31*z**2 + 10253*z + 523779 wrt z.\nAnswer: -15*z**2 + 62*z + 10253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 1, -1\/7, -1\/3, -27, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 16398.7 kilograms?\nAnswer: 16398700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 10407*f + 369 + 10407*f - 369.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 4*p = 35*b + 40, 0 = -5*b - p + 25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.2659 kilograms in grams?\nAnswer: 800265.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -g - 25, -3*g + 5 = -4*g. Suppose 5*k - b - 125 = j*b, 4*k - 97 = 3*b. Let i = -37 + 55. What is the lowest common multiple of i and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*l**4 + 2*l**3 - 57*l**2 - 1989*l.\nAnswer: -240*l**2 + 12*l - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/((-75)\/42) - -589. Suppose -50 = -3*x + x. What is the greatest common divisor of t and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 + 50*b - 9. Let i be m(6). Let v be 27*-4*(30\/(-9) + i). What is the highest common factor of 81 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = 0, -8 = -5*o - 0*w - 2*w. Suppose 2*i + o*i = 22. Suppose 3*u - i - 16 = 0. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1399365, 1399351, 1399329, 1399299, 1399261, 1399215, 1399161?\n\"Answer: -4*f**2 - 2*f + 1399371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229378132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/8 - 2357*w**2\/8 + 173755*w - 346921\/2.\nAnswer: (w - 1178)**2*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2764*(-4836)\/288 - -4*(-1)\/24 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -3 - -4 - (0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:27 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(66) + sqrt(66)))\/((sqrt(6) - (sqrt(6) - (sqrt(6) - (sqrt(6) - (sqrt(6) - sqrt(12)\/(sqrt(2)*-1)))))) + sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**3\/6 - 13*g**2\/2 - 6*g. Let x be m(-14). Let s be (x - (4 - 3)) + 3. Solve 2*w + s*w = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -987.9 + 988.5. Which is the nearest to 8? (a) -0.6 (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:31 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921, 7379, 24917, 59079, 115409, 199451?\nAnswer: 316749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*g + 24 = 0, -99*n + 2*n = -2*g - 489 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4110*z + 270029 + 18369*z - 270029 as w + v*z and give v.\nAnswer: 14259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -153*y - 7772. Give i(-52).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260557 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27844?\nAnswer: 2, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179544488, -179544487, -179544486, -179544485?\nAnswer: -179544484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 20701.74 micrometers?\nAnswer: 0.00002070174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.81, -2, 4, -7\/6, -1\/3, 0 in ascending order.\nAnswer: -2, -7\/6, -1\/3, 0, 3.81, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1381288 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 83\/9 - (-16)\/(-72). Let n(b) = -4*b + 42. What are the prime factors of n(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12\/c)**(-4\/5)\/(c**(-42\/11)*c*c**(3\/5)) assuming c is positive.\nAnswer: c**(-362\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**6\/540 + 2*l**5\/135 - l**4\/27 - 4*l**2 + 6. Let k(p) be the second derivative of u(p). Suppose k(y) = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 + 6. Let p = 1436 + -1590.929. Let a = p - f. Round a to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(637) + 2)*4*-3*-5)**2.\nAnswer: 1612800*sqrt(13) + 36921600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*s + 209, -2*s = -3*k + 84 + 608. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096 minus 11797.86?\nAnswer: -11797.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62792908 rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34078415\/4 or 8519605?\nAnswer: 8519605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5055, -19, 2\/17, -3, -22 in increasing order.\nAnswer: -22, -19, -3, 2\/17, 5055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 9, -4, 5 in ascending order.\nAnswer: -4, 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*z - 3*d, 2*z - 34 = -2*d - 62 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 71\nAnswer: -10\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j**2)*(3*j**3 - 2*j**3 + 0*j**3).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:37 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.32 and -0.19.\nAnswer: -0.2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -w + 4*g - g, -5*w = 3*g - 108. Suppose -1 = 4*j - w. What is the second derivative of -2*v + v + 3*v**5 + 5*v**5 - j*v**5 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)*g**(1\/4))\/(g**(-2\/5))**(-7\/4))\/((g**(-1\/2)*g\/(g**5*g))\/(g**2\/g**(1\/6))) assuming g is positive.\nAnswer: g**(53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2. Let l(h) = -h + 5249. Give r(l(x)).\nAnswer: -3*x**2 + 31494*x - 82656003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n - 4. Let u(d) = d**2 - 57*d - 18. Give -4*t(x) + u(x).\nAnswer: 5*x**2 - 53*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*d**3*k*m**2*p**2 + 8*d**3*k*p + 69*d**3*m*p**2 + d*m**2*p - 4*m*p**2 wrt k?\nAnswer: 40*d**3*m**2*p**2 + 8*d**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*y - 79 = 0, -666*y + 661*y = -37*p - 577 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (23 + 35 + (8 - -4) + 3).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23754 and 8346?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*x + 324 = 0, -4*o + 2*x - 7*x + 292 = 0. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*i**2 - 3*i**2 - 2*i**2)*(4*i**2 - 3*i**2 - 2*i**2) + 39*i**4 + i**3 + 2*i**3 + 20*i**4 as n*i**2 + m*i + x*i**4 + t*i**3 + d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 21098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 383 + -333. Calculate the remainder when 398 is divided by o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 3*r**2 + 5*r + 4. Let f be k(-4). Let m be (f - -2)*306\/4. Suppose -4*u + m - 13 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + 2562155 - z**4 - 2561511 - z**4 - z**2 in the form l + j*z**2 + m*z**4 + q*z**3 + d*z and give l.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -13*w**2 - 3 + 3. Let o(c) = c**2 - c - 1. Let f be (1 - 4) + 4 - -1. Let x(g) = 2*g**2 - g - 1. Let h(k) = f*x(k) - 2*o(k). Give h(v(l)).\nAnswer: 338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032266498 to six decimal places.\nAnswer: 0.003227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*t + 12457, 0 = 3*p + 4*t - 2*t + 37371. Let x = p + 847091\/68. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2476008 and 1100448?\nAnswer: 9904032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (966 + -2)\/(-4) - -4. Let r = q - -332. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 1 - 308\/20)*8985\/(-6)?\nAnswer: 3, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*r + 123*r + 120*r - 473*r + 108*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g**3 + 2*g**2 - 5*g + 3. Determine o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**2 - 2*z + 35*z**2 - 20*z**2 - 2*z**4 in the form o*z**3 + x*z**4 + p + c*z + q*z**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021212021 + -10?\nAnswer: 11021212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.3 (c) -0.36 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104432 - 5?\nAnswer: 104426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8 + 3. Suppose a = f - 0. Suppose 70 = -0*y + a*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1600*d**2*s*y**2 + 10*d**2*y**2 - 9*d**2*y - 477*d*s*y**2 + 878*y wrt s?\nAnswer: 1600*d**2*y**2 - 477*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 53. Let g(j) = -j**2 - 14*j - 8. Let f be 18\/30 + -2*102\/15. Let b be g(f). What is the smallest value in -2, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:11 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-45))\/((-6)\/45). Let m(y) = -y**2 - 8*y - 7. Determine m(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 60, 0, -2, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**(-41) assuming d is positive.\nAnswer: d**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h + 35. Let m be g(6). Solve 0 = -3*x + m*r + 22, -3*x + x - 2*r - 12 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let m(b) = 6*b**2 - b - 2. What are the prime factors of m(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535053 is divided by 723.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 830 - 259?\nAnswer: 5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:41 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*s + 1121 - 17. Let i = 40 + s. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + 33. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + x - 44 = -2*c, 8*c - 4*x - 76 = 0. Solve -c*q - 6 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 890515.\nAnswer: -2\/890515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-b**3 - 4*b + 4*b)*(18*b**2 + 8*b**2 - 13*b**2).\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994 is divided by 631?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 7, -0.095?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7244.\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**3\/(b\/(b\/(b\/(b\/(b\/b**(-4)))))*b\/(b**(-9)\/b*b)) assuming b is positive.\nAnswer: b**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g. Let i(d) = 90*d - 950. Let s(n) = n - 95. Let x(t) = -i(t) + 10*s(t). What is x(f(h))?\nAnswer: -880*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-85)*(-40)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let g be (6\/(-16))\/(q - -2). Put -2, g, 1 in ascending order.\nAnswer: -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 2*i**3\/3 - 7*i**2 + 30*i. Let x be u(8). Calculate the greatest common divisor of x and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 + 3*b - 3*b)*(-12*b + 46 - 46) + 6*b**4 + 3*b**4 + 9*b**4 in the form g*b + o*b**4 + a*b**2 + w*b**3 + k and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1737953\/(-5) - (-8)\/(-20). Let r = 1383365\/4 + t. Let s = r + 1733. Find the common denominator of s and 23\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18576 divided by 6.\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t + 25. Determine u(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*(7\/(-3)*6 - -11). Solve 0 = p - 4*k + k + f, -2*p - 2*k = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**3\/3 - 2*j - 56. Let u = 555 - 552. Calculate m(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3894 - 4.342877. What is u rounded to three decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -9.8.\nAnswer: 10.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4 (b) 1\/7 (c) 1\/6 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = 0. Let p be -2*2\/((-12)\/27). Let g = i + p. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 8, 0, 4, -5, -48, 5 in increasing order.\nAnswer: -48, -37, -5, 0, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 55. Let w(t) = t + 11. Give 2*h(m) + 11*w(m).\nAnswer: m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*t - 9150*a**3 - 46*a**2*t - 4*a**2 + 618*a*t + 20*a + 6*t with respect to t.\nAnswer: -2*a**3 - 46*a**2 + 618*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkul when four letters picked without replacement from {z: 1, k: 1, b: 2, u: 3, l: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 106*o - 1277. Calculate n(35).\nAnswer: 1208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/19 or -1?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b5bc2d - -30?\nAnswer: -1b5bbdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -6 (c) 3377 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 4*o = -11*q - 14, -2*q = 3*o - 0*o - 10 - 11 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.122 rounded to one decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.9991 + -6. Round l to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -433 > 22009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25366.44 hours in milliseconds?\nAnswer: 91319184000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3678582858 to the nearest integer?\nAnswer: 60651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h = -34*h + 3, -4*h = 3*i - 352. Solve -4*t - 2*g = 8, -i*t + 5*g = -113*t - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.4*2.\nAnswer: -74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 5 - 4) + -20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24072 by -2.\nAnswer: 12036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 656, 768, 564, 38?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 241*i**3\/2 - 55081*i**2\/4 - 183027*i.\nAnswer: -i*(i - 247)**2*(i + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6122 + -15?\nAnswer: -6140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -7) + (-4)\/1. Put r, -3, 4 in decreasing order.\nAnswer: r, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -36*q + 22. What is the tens digit of h(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = 0, 2*d = p - 4*p - 4. Suppose -p*r - 2 = -3*r. Suppose -r*x + 6*x = 36. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*a + 3*r, -4 = 4*r. Let f(q) = -q + 9. Let m be f(10). Let c be (-5)\/(10\/4)*m. Solve c*n - a - 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 7:33 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 6. Let w be v(-5). Let a = -2 - w. Solve -4*r + 4*g = -a*r + 17, -2*g = 5*r - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 3, c: 1, h: 1, s: 5}. What is prob of sequence cy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6\/(-45) - (-580)\/(-150).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6779 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37697856*b**4 - 133588*b**2 - 1 wrt b?\nAnswer: -904748544*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-28) + -3 - -2 - (-5)\/10\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -1\/9 (c) 3\/85 (d) 0.5 (e) -1 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -8. Let z = -11 - -11. Suppose -m + 25 = 2*v - z*m, -v - 3*m = -20. What is the smallest common multiple of v and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + s = 5*p - 1501, -3*p + 1132 = -2*s. Calculate the greatest common divisor of p and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3140 divided by -5\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q - 96. Let l(y) = -2*y + 19. Let t(x) = 2*a(x) + 11*l(x). Let s be t(8). Calculate the greatest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13913, 27449, 40985?\n\"Answer: 13536*h + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 17 (b) -0.2 (c) 0.3 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*115\/(2300\/(-1120))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5 - 353*c**2 + 354*c**2 - 3 - 3*c. Let u(y) = -y + 7. Let b be u(5). Let m be r(b). Sort -4, m, -1 in increasing order.\nAnswer: -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*d**3 - 63*d**2 - 78*d**2 + 141*d**2.\nAnswer: -204*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 14) in base 4?\nAnswer: 30113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*a**4*j**2 + 6623*a**3*j**2 - 19*a**2*j**2 + 11*a**2*j - 25*a*j**2 - 2*j**2 - j wrt a?\nAnswer: -3264*a*j**2 + 39738*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 21178*x\/3 - 837520.\nAnswer: -2*(x - 10469)*(x - 120)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = -f, -f = -a - 5*f - 16. Let t = 4 + a. Suppose -2*b + t*d - 10 = 0, -3*b - 14 = -5*d - 3. Solve 0*s = -b*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -171 in -1, 2, -3, 83\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 91*j**3 - 2*j**2 + 84*j + 4. Let o(p) = -182*p**3 + 4*p**2 - 167*p - 7. Let w(s) = 4*o(s) + 7*t(s). Find the second derivative of w(u) wrt u.\nAnswer: -546*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - 276*c**2 - 833*c + 26. Determine h(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + 2*n - 5. What is the highest common divisor of n and 4010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13098.01 + -13017. Let n = -81 + d. Which is the closest to n? (a) -2 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326\/5 - -65. Which is the second smallest value? (a) -2\/5 (b) -1 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47663684 divided by 11915921\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 - 4*i + 14. Let b be t(-6). Suppose 2*c - 7 = 5. Solve 4 = b*j + c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 69*u**3 - u**2 + 3*u**2 + 0*u**2.\nAnswer: 59*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -118556 not equal to -118557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -5 - 3 - 10. Find the common denominator of x + ((-44600)\/528)\/(-25) and -54\/121.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1104, 1081, 1058, 1035?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 + 434957*w - 173982 = 0. Calculate w.\nAnswer: 2\/5, 86991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 750543*b**2 - 750543*b**2 + 1546*b**3 + 2*b**3 + 0*b**3 + 0*b**3 + (7 - 4*b - 7)*(-2*b + 2*b + b**2) as k*b + h*b**3 + a*b**2 + d and give h.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + t + 3*t = -38, t - 28 = -5*r. Let p(w) = -w**2 + 8*w + 3. What are the prime factors of p(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 552474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -134*n + 329. What is the tens digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24765, -24437, -24109, -23781, -23453?\nAnswer: -23125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 389 - 209. Suppose l = 5*l + z. What is the units digit of (l\/(-20))\/((-4)\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 5645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -21. Suppose 0 = 3*m - t - 12. Let s(g) = 7*g**2 - 4*g + 3. Let v(w) = 4*w**2 - 2*w + 2. Calculate m*v(p) - 3*s(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32025*k**2 + 25*k - 27*k + 32132*k**2 - 7 to the form d*k**2 + v*k + s and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.403 rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:06 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.1 - -41. Let i = s + -5.7. Round i to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(11) - sqrt(11) - (sqrt(11) + -3*-2*sqrt(11)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*r + 8 = 0, -16*h - 2*r - 14 = -18*h. Suppose 0 = t - 1 - 3. Factor 5*q**h + q**t + 3*q**3 + 2 - q**5 - 2 - 2*q**4 + 2*q.\nAnswer: -q*(q - 2)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 - 2) + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56112 times -4?\nAnswer: 224448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10595*i**4 - 4*i**2 - 289*i?\nAnswer: 254280*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 18*v - 31*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 11. Give j(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 2200723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -2 (b) -4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123541\/239148 + -121\/657. What is the common denominator of j and 107\/56?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69266*x**2 - 19*x - 2966924 wrt x?\nAnswer: -138532*x - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 3) to base 9.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p**(-2\/9)\/p)\/p))*p*p\/(p\/(p*(p*p**0*p)\/p*p*p)))**(-2\/23) assuming p is positive.\nAnswer: p**(-50\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401505 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 424 = 3*m, -194 - 198 = -3*m - 4*r. Is 35 a factor of 1 + m + -1 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + g = -g - 2, 0 = 4*g. Let u be (-6)\/n - 3\/3. Let m be 3\/4 + 3\/u. Solve 0*x - 22 = 2*x - 4*t, 2*t - 10 = m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(21)\/sqrt(3) + 1))*1 - ((-6*(sqrt(84)\/sqrt(2) + sqrt(42) - sqrt(42)))\/sqrt(6))**2.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28 = k, -3*b + 2*k = -3*k - 28. Is (0 - 45\/b)*8\/(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257948 <= 6448702\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 188 * -11.1\nAnswer: -2086.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 29592. Let z be 4\/1*1 - k. Let t = -754850\/51 + z. Calculate the common denominator of 65\/21 and t.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/98*1). What is the greatest common divisor of o and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -444 + -147?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 692, 1538, 2718, 4232?\nAnswer: 6080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (68 - ((-5 - -15) + -15 - (-2 + 1))) + 5\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-3))\/(2\/456*-3). Let v = 83 + h. Calculate the remainder when 95 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 1027*n**2 + 4 + 7 + 32*n**3 - 14 + 2.\nAnswer: 32*n**3 - 1027*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 3*q**2 + 4 - 8)*(-800 + 169 + 5*q**2 - 8*q**2).\nAnswer: 3*q**4 + 643*q**2 + 2524","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + y + 14, 5*u - 18 = 2*y - 0. Suppose -w + r = -u, 2*r = 3*w - 0*r - 10. Find the third derivative of -6*m + m**3 + 3*m**2 + w*m + m**2 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102322 (base 4) in base 6?\nAnswer: -452134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26\/((39\/(780\/(-80)))\/6)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 - (0 + -1 + 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -37*p**2 + 902*p - 275. Calculate u(24).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*r - 152, 4*r - 5*m = 2*r + 44. Let s be r\/(-180) + (-4)\/18. Let n = -0.3 + 0.2. Sort n, s, 2 in increasing order.\nAnswer: s, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 17 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -4044002?\nAnswer: 4044013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 264667.4 millilitres?\nAnswer: 264.6674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**2 - 3*q - 3. What is y(-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 24*r - 13. Let u(j) = -4*j**2 - 23*j + 10. Give 5*u(n) + 4*w(n).\nAnswer: -4*n**2 - 19*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -0.7.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/17 + 17762*c**4\/17 + 230442*c**3\/17 - 1118642*c**2\/17 - 11296460*c\/17 + 12166896\/17 = 0. What is c?\nAnswer: -8868, -14, -7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-3056)\/(-40) - (15096\/255)\/(-148).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.39 - -2657.61. Which is smaller: p or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79437*b**3 - 176542*b wrt b.\nAnswer: -476622*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 33 = 5*v, -5*n - v = -0*n - 33. Let t = 7 - n. Solve 4*j - t = 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4572*m + 117530 = -28774 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-285)\/(-38)*(-8)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a. Let t be l(5). Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/140)\/((-2)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = 5*z. Let t be ((-12)\/15)\/(1\/(-5)). Let b be (-5 - -3)\/((-2)\/20). Solve z - b = t*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 - -0.5. Let l = 1 + q. Let i = 77 + -309\/4. What is the closest to i in 4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-279)\/2)\/((-15)\/40). Suppose -g = -5*y - 3*k, -136 = -2*y + 2*k - 0*k. Calculate the remainder when y is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 13. Let m be 1 - (1 - 448\/28). What is the greatest common divisor of i and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 5*p**2 - 5*p - 2. Let f be u(4). Let k = -4 - f. Factor -4\/7 + 2\/7*h**k + 2\/7*h.\nAnswer: 2*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -46.3.\nAnswer: -46.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((935\/34)\/(-11))*(1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -2*(((1*sqrt(133) + sqrt(133))\/sqrt(7) - sqrt(19) - (sqrt(304) + -5)) + (-2*sqrt(171) + sqrt(171) - (sqrt(19) + 0 + 0)))))**2 + -2.\nAnswer: -4032*sqrt(19) + 60878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 75, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 743*w + 62 = 738*w + 15, 5*s + 24*w + 245 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 50947659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c**3 - 31*c**3 - 6*c**3)*(-3*c - 4*c + 8*c)*(5*c - 4*c - 3*c).\nAnswer: 118*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 + -36. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/13? (a) -5 (b) -74.9 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:23 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 84, 99?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 9*z**2\/2 - 6*z + 1. Let t(a) = 0*a + 0 + 5*a + 9. Let n be t(-3). Let h(b) = 19*b - 13. Calculate n*h(p) + 13*i(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - (4 + 0 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 260*g**2 + 2704*g + 985. What is t(-270)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36c (base 14) in base 15?\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 2*b - 2*b**2 + (b - 4*b + 5*b)*(2*b - 5*b + b) - 75*b**2 - 10*b + 10*b.\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 374280225*o*r - 3*o + 103523019 wrt r.\nAnswer: 374280225*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*t**3 + 70*t**3 + 76*t**3 + 74*t**3 + 84*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*c - 300*c - 1720621 + 470917 = 0. What is c rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 72*k + 2. Does 37 divide a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 67\/5 (c) -8\/3 (d) 0 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c + j + 11, -3*j = -3*c - 39. What are the prime factors of 2\/(-3) + (-1088)\/c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 361, 1508, 3419, 6094, 9533, 13736?\n\"Answer: 382*n**2 + n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2562 + 1520. Let l be (p\/5)\/((-10)\/50). Suppose -4*n = -2*n - l. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 4. Let k be m(-3). Let o = 4 + k. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -41 - 64. Let c = -215 - -239. Let z = d + c. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213 - -282 - 2639\/39)*(-1 + 26\/(-4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 10658881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130570760 a multiple of 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 19*d - 10*d - 15.\nAnswer: d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 3793*x**4\/12 + 296*x**3\/3 + 2161*x. What is the second derivative of b(v) wrt v?\nAnswer: 7586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -30*g + 2. Let u(d) = -35*d + 12. Calculate -14*o(n) + 2*u(n).\nAnswer: 350*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*u = 8, 4*v + 11*u - 13*u + 8 = 0. Suppose -h - 44121 = -4*r, -6*r + 2*r - h + 44127 = v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n**2 - n - 5. Let f be u(-2). What is the highest common factor of 116 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l + 11*l + 81*l)*((1 + 0 - 4)*(-1 + 1 - 2) - 2 + 0 + 0) as c + o*l and give o.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 25. Let a(h) = 3*h + 16. Let b be a(w). Which is smaller: b or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 13*g**2 + 30*g + 6. Let q be h(-15). Suppose 2*k - q*k + 12 = 0. Solve k*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*j - 4*v, -9*v = -j - 10*v + 17. Suppose j*s - 23*s + 2232 = 0. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6962*z - 5981*z - 2 as a + o*z and give o.\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*o + 36, 0*o = 3*c - 4*o - 27. Let q(i) = 9 - 7*i**2 + 8*i**2 - 8*i + 9*i**2 - i**3. Is 6 a factor of q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1926\/7447 + -52\/677. Factor -g*p**3 + 10\/11*p - 6\/11 - 2\/11*p**2.\nAnswer: -2*(p - 1)**2*(p + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 40*c + 1308. Give f(-33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -59*c + 58*c. Let f be (144\/(-80))\/(9\/c). Solve -5*p + f = -l + 6, 2*l = -2*p + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6457635?\nAnswer: 3, 5, 143503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiibiiiiiiiibi. Give prob of sequence iii.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 3508*c - 21192 = 0 for c.\nAnswer: -6, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 - 3*r + 1. Let k(t) = 4*t**2 + 2*t - 1. Let d(x) = 5*a(x) + 6*k(x). Let j be 4 + (5 + -1)\/(-2). Let n = 0 - j. Give d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11328.31739 and -4.93429.\nAnswer: 11323.3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/3 - 9*k**2\/2 + 3*k. Let t be n(8). Solve -2*q + t = -1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.7 (c) -0.06112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87113?\nAnswer: 13, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and 3\/209114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15690583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 - 5) - (0 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6.4509 - -42823445.8\nAnswer: 42823452.2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -22*s - 11339. Let d = -387 - s. Let u = -4 + 8. Solve u*l - 2*r + d = -5*r, -2*l = -r + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.85 * -459\nAnswer: 390.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1529 divided by -11.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3655.581 centuries?\nAnswer: 365558.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -606159.2 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*p - 4, 6*y - 12 = -3*p + 3*y. Let t = p - 5. Let b(q) = q + t*q - 2*q. Let x(w) = 4*w. Calculate x(b(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 3*v - 10. Let q be z(7). Let x = -40 - q. Suppose -2*g + x = f - g, 2*f = -3*g + 84. What is the remainder when f is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Let j = -0.31 - -0.01. Suppose -14 = -13*v - 1. Which is the closest to v? (a) u (b) -2\/21 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -0.2, 0.2, 6.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -15 + 19. Solve i - v*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -246 + 239. Let d(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 4*f + 1. Is 6 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -29. Let p be -6*(-1)\/x*(1 + -3). Solve 4*f - 28 = 3*b, -3*f = -0*f + p*b + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 6*w + 0*w + 2*w**2 - 5*w + 4. Let v = -9 + 21. Suppose -k + 4 - v = 4*c, 5*k = -2*c - 4. Determine i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798010.2 hours in days?\nAnswer: 33250.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*((70\/(-15))\/2 + -1). Suppose 16 = 4*t + 4. Suppose 4*i = -11 - 9, 2*j + 7 = -t*i. What is the greatest common factor of j and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12648 divided by -3162?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, -2, -136?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)*h)**50*h**(3\/5)\/(h*h**(9\/4)*h*h*h))**(-22))**(7\/8) assuming h is positive.\nAnswer: h**(239701\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 974384 and 52?\nAnswer: 12666992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154062153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.81 to 0 dps.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1202424614 to the nearest integer?\nAnswer: 34676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000140896 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 42*w + 84. Let k be l(-19). Solve 0*j + 3*j = 5*q - 8, 0 = 2*q - k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 58. Let i be (-72)\/20*5\/(-1). Suppose -p = -5*u - i. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2490 - -29e?\nAnswer: 272e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 219633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 + -14 - (2 - 0). Sort 2, -4, h.\nAnswer: -4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*d - 137*d = 216. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-4 + 4)\/4. Let i be 1*(-4 + c)\/(-1). Which is smaller: i or -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-35)\/14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024908 rounded to 6 decimal places?\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*((-12)\/(-15))\/2. Let x be (35 - (t - 2)) + -3. Suppose 2*l - 4*k - x = 0, 4*l - 2*k + 4 - 46 = 0. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6635373 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*a - 21, 4*a - 648 = 3*o - 625 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 3*c - 3*c + (4*c - 3*c - 3*c)*(4 - 1 - 2) + 27 - 27 + c + 0 + 0 - 3 - 12*c.\nAnswer: -14*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(6\/1184). Let l = -898\/3 + h. Which is greater: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 535, 1057, 1579, 2101, 2623?\nAnswer: 3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13046 and 4744?\nAnswer: 52184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98\/5 of a litre?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 4048 = -26*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.033? (a) 1374 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7765037 equal to 7765035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p = -1250 - 858 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 19*z + 2. Let m be k(19). Suppose -2*y - 2*u = -160, m*y - 5*u - 145 = 36. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.151 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**(-38))**(-5\/9) assuming y is positive.\nAnswer: y**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -8525*p**2 - 2357440*p + 30420 = 0.\nAnswer: -3042\/11, 2\/155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 - 163445*v**3 - 27*v**2 - 108599735*v wrt v?\nAnswer: -12*v**2 - 980670*v - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -5 (c) 0.5 (d) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 47*n**2 - 117*n - 1. List the prime factors of i(43).\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 2:24 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 11*j + 37. Calculate i(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -27*n**4\/4 + n**3\/3 + n - 68. What is the third derivative of b(d) wrt d?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6 - 4) - (-1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -409.\nAnswer: -409, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 4*k**2 + 164*k - 6*k**3 - 5*k**2 + 1 - k**3 + 9*k**3 in the form r + u*k**2 + i*k**3 + q*k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232332022 (base 4) in base 8?\nAnswer: -2567612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71637083 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*z + 2*z - s, 4 = s. Let j(u) = u**2 - 2. Suppose -k = -2*t + 9, -3*t + 16 = -k - k. Let w be j(t). Solve 2*y + w = z*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -209 from 756304.\nAnswer: 756513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 9*i**2 + 10097*i**3.\nAnswer: 10097*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:17 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 8.45. Let y = 2.6 + a. Let c = 25.6398 + -29.6398. What is the fourth smallest value in -2, 5, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -550589.793 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193485 = 4563*y - 2724 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. Suppose b = -t - 10 + 38. What is the units digit of (t\/(-16))\/((-3)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k - 24. What is the smallest common multiple of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41103192\/(-9) - -6*4\/(-36). Let x = -671464138\/147 - b. Let d = x - -2284\/3. Is 1\/2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 5*h - 2. Let x be m(-3). Let a(i) = i**3 + 5*i**2 + 4*i + 7. Let p be a(-5). Let t = -9 - p. Solve 5*r - 5 = w - 0*w, -3*w + x*r = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342 + 342.0557. Round r to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - c - c + 2, -5*f = -5*c - 55. Suppose -4*z = -4*k - 508, -f*k + 3*k - 381 = -3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1151575103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6)*(-4*t + t + t) - 5*t - 10*t + 16*t + 158 in the form m*t + r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 25 - 17 = -38, -5*f + 81 = -2*j for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/145 greater than 945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14080277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaraxxrzrrawaxeaarr. What is prob of sequence xaw?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -39.5*-0.0262\nAnswer: 1.0349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 3*y**2 - 46*y - 27. Calculate v(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/924 and 35\/7524.\nAnswer: 52668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = 58 + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18946 - -0.016\nAnswer: -18945.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46368237.\nAnswer: 3, 15456079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.568075 millilitres in litres?\nAnswer: 0.006568075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7020 divided by 780\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -109*x**3 + 14*x**2 + 30*x + 104. Is z(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 z, and 1 c when four letters picked without replacement from {c: 2, z: 6, k: 3, d: 2}.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 8\/11 (b) 1\/5 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let f(l) = l**2 - 1. Let q(a) = 15*a**2 - 2. Let m(d) = 2*f(d) - q(d). Give x(m(y)).\nAnswer: 169*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5640?\nAnswer: -1\/2820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 306.21 + -303.2100002. Let y = 3 - r. Round y to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298*m*u**4 - 2*m*u**2 - 61*m*u + u**6 + 7*u**2 wrt u.\nAnswer: 7152*m*u + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.60674 times -103\nAnswer: -165.49422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92392*f**4 + 21*f**3 - 20705887 with respect to f.\nAnswer: 369568*f**3 + 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2217 + -2214. Solve -11*p - 5*p = -z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37c68 (base 13) to base 15.\nAnswer: -20886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2*q**3 - 2*q**4 - 3*q - q**3 + (-2*q**3 - 2*q + 2*q)*(-1964 + 3938 - 27*q - 2030) as w + v*q + t*q**2 + k*q**4 + f*q**3 and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*f, 2*f - 7 = -2*s + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*w - 8716 + 4449 + 4499 + 3884 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 873563 = 873913 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 506817847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201020 (base 3) in base 5?\nAnswer: 41311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39\/4*b - 1\/4*b**2 + 245\/2.\nAnswer: -(b - 49)*(b + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/44)\/((-16 + 48)\/(-4480)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 11:38 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (952\/(-51) + 3))\/28?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4 + 4 + b.\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -102.81. Which is the closest to h? (a) 0 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 30*k - 47 + 113 + 25*k**2 - 53 - 42*k. Determine s(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/11 - 3200\/176. Let s = v + 19. Let u(w) = -w. Let t(l) = -1. Let g = -20 - -19. Determine g*u(f) + s*t(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 9*k - 148 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 292 + 1645. Suppose 3*u = -3*v + u + 1159, 0 = -5*v - 2*u + c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49014 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17028 greater than or equal to -745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*z + 4*h, 13*z + 9 = 16*z - 3*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -2 - (-1 + 0 + -1)) + 189 + -195?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95112701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**25\/(((m*m**(-8\/7))\/m)\/m**(2\/19)))**(-1\/96) assuming m is positive.\nAnswer: m**(1621\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -19. Let i = s - 43.96. Let p = -2.04 + i. Which is the closest to 0? (a) 5 (b) p (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-18))\/((-2)\/(-93)). Suppose 0 = 5*z + 5*t - 240, -3*z + 141 = -t + 5*t. Let h = z + b. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8256)\/(-252))\/(-43))\/(-8).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(3\/(-6)). Let w(o) = -2*o + 7. Let k be w(a). Let s = 2713\/11 + -247. Is s smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 e when four letters picked without replacement from {e: 3, o: 8, h: 5}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-48)*(-3)\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t*x**3 + 240*t*x**2 - 145*t*x + 44143737*t wrt x.\nAnswer: 6*t*x**2 + 480*t*x - 145*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/3 and 0 + 164\/12 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -22. Let r be 0\/1 - (-1 + -109). Calculate the highest common divisor of r and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149571.\nAnswer: 3, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 9. Let c be o(-6). Let v = c - -16. Calculate the greatest common factor of v and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17 (b) 0.029 (c) 0.2 (d) -6 (e) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**4\/21 - 1174*a**3\/21 - 14*a**2.\nAnswer: 2*a**2*(a - 147)*(4*a + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 325 + 180. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-3*f - 4 + 4) + 676*f - 276*f + 424*f.\nAnswer: 821*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2529*y**3 - 7477*y**3 + 2519*y**3 + 2498*y**3.\nAnswer: 69*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 12:13 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*a + 6*a = -857, a + 687 = -4*d. Let s be d\/(-24) + -3 - (17 - 13). Put 2\/5, 0, s, 3 in decreasing order.\nAnswer: 3, 2\/5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 - 16*w**2 + 13*w + 154. What is b(3)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - (-13)\/(-3). Suppose -v + 3*v = 0. Suppose -3*f - 3 = v, -3*t = t + 4*f + 12. Sort m, t, -1.\nAnswer: m, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571160 is divided by 526.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 4493 - 8982 + 4489.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021210 (base 3) in base 8?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 65*m**4 + 8*m**2 - 66*m. Let d(y) = 30*y**4 - 2*y**2 - 22*y - 8*y**4 + 5*y**2. Let t(z) = 3*c(z) - 8*d(z). Find the second derivative of t(v) wrt v.\nAnswer: 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 27 = -2*t. Suppose -x + 53 = 3*b, -2*x + 2*b - b + 92 = 0. Calculate the remainder when x is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -624*z + 629*z, -15*r + 67*z - 595 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 10) in base 2?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/4 + 263*z**2\/4 + 4290*z - 4356 = 0.\nAnswer: -132, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -201, -310, -433, -576, -745, -946?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d*s**3*y**2 + 20*d*s**3*y - 2*d*s**2 - 2*d*y**2 - 25*d wrt s.\nAnswer: -42*d*y**2 + 120*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 8*h - 225. What is the remainder when (-960)\/(-4)*(-6)\/(-15) - 1 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843 divided by -338.\nAnswer: 843\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71035087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*o + 1 = -9, 4*m = -2*o - 4. Suppose a - 4*u - 3 + m = 0, u = 0. Let i(x) = -5*x**2 + 1 - 1 + 6*x**a. Let l(p) = -12*p**2. Determine i(l(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 675579 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 9*q + 8. Let k be a(-3). Let y be ((-4)\/12)\/(k\/12). Solve 12 = 2*p + y*s, p + 5*s + 4 = 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11013a (base 12) to base 11\nAnswer: 174745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 113*h + 4. Let n(r) = 110*r + 3. What is -5*j(l) + 6*n(l)?\nAnswer: 95*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28985301*i**3 - 7182*i**2 + 33*i - 3.\nAnswer: -173911806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 12*r + 13. Let u be a(11). Suppose -3*m + 3 = u*h, 0 = -5*h + 5*m + 47 + 23. Suppose 5*o - h*o + 12 = 0. Solve o*n = 2 - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/(d*d**7))\/(d*d**(-3)*d**(-2)))\/(((d\/d**(-2\/3))\/d**(-3\/2))\/(((d\/d**1)\/d)\/(d\/(d\/d**(-1\/4))))) assuming d is positive.\nAnswer: d**(-167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*w + 43008, 5*m + 10*w - 42988 = 7*w. What is the highest common divisor of m and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 1322 - 588 = 0. Let s = o + -259. Which is smaller: s or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(175) + 1 - sqrt(175)))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -492175.6 rounded to the nearest 100?\nAnswer: -492200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/3, 0.5, -4 in ascending order.\nAnswer: -4, -2\/3, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r + 1. Calculate w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 213152916 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -51a7 - -380?\nAnswer: -4927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -0.104685\nAnswer: -0.1570275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/320 and -53\/6880.\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 2*g - 25 + 139 - 29 + 14 - 21 as a*g**2 + x + f*g and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04, -60, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -29. Suppose -13 - 5 = -o*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + 5 - (0 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13751\/1900 - -6\/475. Suppose -2*r = -v + 3*r - 1370, 3*r - 5429 = 4*v. Let t = v - -9514\/7. What is the common denominator of j and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171434, -342870, -514306, -685742, -857178, -1028614?\nAnswer: -1200050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230.17869 seconds to minutes.\nAnswer: 3.8363115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 12*w**2 + 274*w - 3713. Determine x(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/2208 and 145\/626496.\nAnswer: 14409408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50645 is divided by 469?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 157, 2, 4, -1, -2.\nAnswer: -113, -2, -1, 2, 4, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -18. Suppose 5*p - 20 = 5*h, s*p - 4*p - 13 = h. Solve c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4381984, -8763968, -13145954, -17527942, -21909932, -26291924, -30673918?\n\"Answer: -z**2 - 4381981*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**5 - 4*q**5 + 3*q**5)*(81 + 42 - 15 + 9).\nAnswer: -351*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - v + 10023003 = 0, 7*h - 4*h - 10023006 = -2*v. Round h to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493872.57 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27.2 or -2.09?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) + sqrt(2)*3)**2 + 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -67, -198, -471, -892, -1467, -2202?\nAnswer: -3103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096785305.\nAnswer: 3, 5, 41, 378823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 16 + 41 + (24 - 28) + 24 + -14.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1785 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1558)\/10 + -3. Let z = k + 155. Let q = 3\/119 + -372\/595. What is the closest to 1 in z, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -36*s + 39. Give r(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26540, 53136, 79732, 106328, 132924?\n\"Answer: 26596*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose -4*i = -o*b - 3 - 14, 4 = i - b. Suppose -2*l - w + 13 = -0*w, -l - i*w + 29 = 0. Solve -4*h + 11 = -3*q - 1, 0 = l*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17\/h**(-7))\/((h*h**(-9\/5))\/((h**(-2\/23)*h)\/h*h)) assuming h is positive.\nAnswer: h**(2957\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 3*t**2 + 4*t + 3. Let s(o) = -o + 2. Let c be s(6). Let u be l(c). Suppose -d = -u - 2. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 + 17*u**4\/24 - 13*u**3\/6 + 2*u**2 + 17. Let r be l(-8). Which is smaller: r or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24569 to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {y: 2, k: 2, g: 4, e: 2, o: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Suppose -3*h - 137*b = -134*b - 13239, -3*b + 4407 = h. Is 138 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.959 - 0.041. Let b = u - -22.98. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/((570\/(-20))\/19).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-21)*(-21)\/4. Let p = 52 - b. Is 2 a factor of 1\/((-4)\/(1 - p))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 11*c - 39 = 3*l, 4*c = -2*l - 34. Let u be 4*(4 - 16)\/c. Solve 11 - u = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - 0 - (17 - (-11 - -25) - 11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**2 - 126. Let t(k) = 3*k**2 - 63. What is -5*t(v) + 2*w(v)?\nAnswer: -v**2 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/144 and -109\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25*s - 2071. Let g be u(83). Solve d + g*q = -11, -q + 11 = 2*d - 4*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 15*o - 47 = 10*o - 19, -6*r - 351 = -10*r - 71*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 235\/(-21))\/(20\/(-270))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 5*a - 20. Is 2 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, l: 4, r: 7, u: 3, c: 1, p: 1}. What is prob of picking 1 u, 1 c, and 1 l?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f + 28. Let r(n) = -4*n + 9. Let p(t) = -8*r(t) + 3*v(t). Calculate the lowest common multiple of p(5) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-2)\/(-9) - 22\/99)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1130567 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = -13. Let h(f) = f**3 + 2*f**2 - f. Let y be h(-2). Suppose -a = 3*u - 4, 0*a + 3*u = y*a - 35. What is the highest common divisor of m and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 15067?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 7*p. Let d = p + 10. Solve -3*a = -a + d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(34) + sqrt(850)*-2 + sqrt(34) + sqrt(102)\/sqrt(48)))\/(2*sqrt(18)\/(sqrt(324)*2)).\nAnswer: -93*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3500.5068 + 3500. What is x rounded to two decimal places?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + c)*(-c**2 - 5*c**2 + 4*c**2) - 2*c + c**3 + 2*c + 28*c**3 + 29*c**3 - 11*c**3 - 6*c.\nAnswer: 45*c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2)\/((-1)\/(-5)*(-570)\/(-228))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (-3 + sqrt(63) - sqrt(63)))**2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**8\/1008 + x**7\/210 - x**5\/45 - 89*x**2. Factor a(d).\nAnswer: -d**2*(d - 2)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g - 8. Let y be j(4). Let c be ((-32)\/y + 1)*1. What is the closest to -3 in c, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -2*i + 14*q - 175, 2*i - 3*q + 165 = 0. What is the common denominator of -145\/66 and (-271)\/(-84) + i\/(-120)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5139841.\nAnswer: 7, 734263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 8*l**2 + 176*l - 760. Determine u(6).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**3 - 28*k**3 - 5*k**3.\nAnswer: -67*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66163.21 millennia to centuries.\nAnswer: 661632.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w + 9 = l - 46*w, 5*l + 3*w + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**7\/140 - w**6\/240 + w**5\/15 - w**4\/12 + w**2\/2 - 3. Let u(a) be the second derivative of r(a). Find v such that u(v) = 0.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 68 - 226 + 158.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5799? (a) 0.3 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -156*q**2. Let u(v) = -v**2. Calculate u(x(f)).\nAnswer: -24336*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/38*(-1 + -1). Let i = -26 + 25. Which is the closest to 0.2? (a) -5 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 1. Let g(s) = s - 1. Let b(f) = -3*f + 3. Let l(v) = -4*b(v) - 15*g(v). Let p(w) = -8*j(w) - 3*l(w). Let d be p(-2). Does -4 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91536 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6862 = -15*r + 3158. List the prime factors of r.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-5) + (-162)\/(-90)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9265*b + 23598 - 36382 = 70601 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.8*-23737.\nAnswer: 280096.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8208167 - 2*v - 3*v - 8208172.\nAnswer: -5*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1973\/5919)\/(0 + (-2)\/6)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/21)\/11*21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616184 is divided by 147.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20*((-6)\/40 - 12\/20). Let h(r) = 20*r - 8. Calculate the remainder when h(k) is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46207 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12884?\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5*g = 8. Let f be 3\/3*-2 + g. Solve 4*z - v = -18, -f*z = z + 4*v + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/10)\/((-17)\/((-1275)\/(-30))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/120*-18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 7901 = 19711. Suppose 0 = d - 5*t - 511, 0*t - 4*t - u = -4*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 4acc?\nAnswer: 4acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 4:38 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-7*h**4 - 13*h**4 + h**4) as t*h**4 + m*h**3 + i*h**2 + b*h + s and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + 39. Suppose 4*v - 203 = i. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 4*r**2 - 19*r + 39. What is u(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 3:10 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(192)*-2 - sqrt(192)) + sqrt(192) + 5*sqrt(192)*2 - (sqrt(192)*-2 + 2 + -2))**2.\nAnswer: 800*sqrt(3) + 19225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-9)\/(81\/6). What is the closest to p in -0.5, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 = 79*w - 125 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goo when three letters picked without replacement from tiffvfvofgfotg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73395 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18612, -74391, -167356, -297507, -464844, -669367?\nAnswer: -911076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 8*w**2 + 7*w**2 + 3*w**2)*(-2*w**2 + 2*w**2 - 2*w**2) as p*w**2 + k*w**4 + z*w**3 + i*w + f and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14353493335\/42 - -341725329. Suppose -w + 5*p + 34533 = 9998, -5*p = 3*w - 73525. Let o = w + h. Calculate the common denominator of o and 7\/11.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/280 and 77\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, d: 5, o: 2, u: 4}. What is prob of sequence dug?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 328325651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from cccucccccccccccccc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 11) + 7 + 0\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/7 + 6248*l - 34157816 = 0. Calculate l.\nAnswer: 10934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-1 - 0)*10\/6. Suppose 5*w = c*v + 5, -2 = w - 3*w + 4*v. What are the prime factors of -2 - ((-112)\/10)\/(w\/10)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086728 plus -0.1343?\nAnswer: -0.221028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(0*j + 2*j + 3*j)*(-14*j**3 - 4 + 4) - 2193*j - 10*j**4 + 2193*j to the form b*j**4 + n*j**3 + x*j**2 + g*j + w and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60944 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17522*d**3 - 170903*d**3 - 186012*d**3 + d**2 - 320606*d**3. Let v be u(-1). Suppose -3*a = -a + v. Round a to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 84*l**2 - 4*l + 6. Give n(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 14. Suppose -c + 106 = 3*f, 2*f + r*c - 40 - 26 = 0. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxssxss. Give prob of sequence sx.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 9. Let k(v) = 8*v**2 + 157*v + 99. Let c be k(-19). Let n(m) = 3*m**2 + 8. What is c*n(s) + 3*w(s)?\nAnswer: 3*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-6)*2 - 578\/(-6). Suppose -205*o = -211*o + h. What is the highest common divisor of 80 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 6 - -11 - -3 - (-2 + 20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*c = 25059 + 38920, g - 16006 = -3*c. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.128 and -0.6426.\nAnswer: 0.0822528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68ec9 + a?\nAnswer: 68ed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = -10. Let k = 5 - 0. Suppose -5*c + 31 = 2*i + 4*i, -i - 5*c = -26. Sort -1, k, s, i in decreasing order.\nAnswer: k, i, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*t, -3*t + 16*j - 15*j = -10. Solve 2*n + 30 = -4*h, -t*n - 28 = 4*h + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from razaarzrrrrranacrr. What is prob of sequence crz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 3*u**5\/2 + 101*u**4\/6 + 164*u**3\/3 + 44*u**2 - 199*u. Factor k(j).\nAnswer: 2*(j + 2)*(3*j + 1)*(5*j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446992 divided by -1\nAnswer: -446992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 1. Let n be t(1). Let o(l) be the first derivative of l**4\/2 - 2*l**3\/3 + l**2\/2 - 26. Calculate o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -16. Suppose x*c - 3*q - 7 = 2*q, 0 = 2*q - 10. Let a = c + 3. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-245)\/3990)\/(14\/(-8)). What is the fourth smallest value in -5, 2\/17, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxrd when four letters picked without replacement from {r: 1, d: 5, p: 3, x: 2, t: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 3*z = -3*k, -3*k + 2*z = 0. Let s = -10 + 13. Put s, -3, k in increasing order.\nAnswer: -3, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -128. Let y = 1.42 + -0.22. Let w = 0.7 - y. Which is the nearest to -1? (a) p (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*u**4\/4 - 27887*u**3\/4 - 1534005*u**2\/4 - 28135525*u\/4 - 166375\/2.\nAnswer: -(u + 55)**3*(169*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 3 - 7)*(-1861*l + 1861*l + 283*l**2) in the form t + r*l + f*l**2 and give f.\nAnswer: 1698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, 1\/158, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + (2 + 0)\/(-2). Suppose -4*t = -b*t + 192. Let l be ((-3)\/t)\/(5\/10). What is the third biggest value in 3\/2, -10, l?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/92 - 6*(-179)\/(-600)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1084728?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*u + 580 + 584 - 12*u**3 - 1164 to i*u**2 + h + k*u + l*u**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 4, 3 in decreasing order.\nAnswer: 73, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i - 3152*i**2 + 3151*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 346 + -650?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*w - 8, 2*n - 2*w + 18 = 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6*18\/(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 975*f - 190717. What is d(-167)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 2*t + 2. Let i be c(7). Suppose -i = -6*b + 89. Let z = 23 + -11. What is the highest common divisor of z and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 81. Suppose -q - 10 = z*h, 0 = -q + 3*q - 3*h + 7. Which is the second biggest value? (a) 2.7 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 1320?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10274368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 177*l + l**3 + 186*l + 3*l**4 - 2*l**3 + 2 to the form r*l**4 + m*l**2 + u*l + j*l**3 + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 6*r**3 + 11*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 6768*o - 122 + 188*o.\nAnswer: 6956*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + 3 + sqrt(405))**2 + sqrt(180) + -1.\nAnswer: -12*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**2 + 8*f - 1. What is n(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18861301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 12*x - 5. Let y(z) = z**2 + 18*z + 62. Let b be y(-15). What is the remainder when a(b) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 7. Let h(o) = -2*o - 14. Let l be h(c). Solve a = 3*a + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/13)*s)\/(s**19\/s)*s**(3\/17)*s*s**(4\/5))**(-1\/15) assuming s is positive.\nAnswer: s**(15326\/16575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + g + 17, 3*v - g + 4 = -0. Let o(m) = 3*m**2 + 4*m - 1. What are the prime factors of o(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 293?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 446*h - 19449. Calculate a(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:30 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/881376 and -11\/1175168.\nAnswer: 3525504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05183695 rounded to three decimal places?\nAnswer: -1.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.188319 hours in microseconds?\nAnswer: 7877948400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4*z**2 + 910978*h**3*z - 27*h**2*z + 932*h**2 + 2*h*z**2 - 2*h*z + 2 wrt h.\nAnswer: 72*h*z**2 + 5465868*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 57*n + 118.\nAnswer: -(n - 59)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2855*u - 6. Let l(r) = 19*r + 1. Determine 3*l(w) + y(w).\nAnswer: 2912*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m*m**15*m*m*m)\/m))\/m**(-3\/2) assuming m is positive.\nAnswer: m**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3808152 less than -3808152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 1 - -1 - (13592 + -13608) - 111.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 432932*r. Let f(c) = 2*c**2. What is u(f(k))?\nAnswer: 865864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - -8. Suppose -f = 4*f - y. Suppose 4*i + 2*l = -0*i + 106, 0 = -f*i + 2*l + 146. Solve -i = -5*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1062*j**2*o*w - 98*j**2*o - 9*j**2*w - 30799*j*w wrt o?\nAnswer: -1062*j**2*w - 98*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Is 609 a factor of 222065760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 83 + 179)*(6783 - 6783 - 30*i).\nAnswer: -5280*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, 1, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -5.8, 1\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40060 divided by -4?\nAnswer: -10015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -7*h + 13. What is the remainder when 1 + 7\/(7\/48) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-60)\/5 - 4. Suppose -l*y + 26 = 92. Is y at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.8. Let g = 1 - c. What is the nearest to 0 in -4, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -178453.17393 and 18.\nAnswer: -178435.17393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, l: 7}. Give prob of picking 2 l and 2 c.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -81 + -21 + 40.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9 = 1. Let u be (-7)\/(-2) + (-6)\/4. Suppose 5*a - u = 6*a. Sort 0, d, a in increasing order.\nAnswer: a, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:03 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Suppose -7*i = 5*c - 2*i + 30, -3*c - 5*i = 28. Are z and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 - 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 12.5. Let t = n - -11.5. Let y = t - 15. What is the smallest value in 2\/15, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 19 = -7*n, 0 = -91*t + 93*t + 8*n + 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.794385 litres to millilitres.\nAnswer: 9794.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3 + 56477864*c**2 + 648415381*c.\nAnswer: -6*c + 112955728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 569411201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043751496 to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24521.\nAnswer: 7, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41314413*s**2*x**2 + 2*s**2 + 2*s*x + s + 98538*x - 2 wrt x?\nAnswer: 82628826*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3715, 3271, 2827?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h**2. Let g(z) = -49*z. Calculate t(g(q)).\nAnswer: 43218*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 366. Let f = 283.99999566 + b. What is f rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -4608\/7129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57742.14723 + -715.13843. Let b = 56958 - h. Let x = -69 - b. Round x to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 4*r - 3. What is j(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78.46 + 0.54. Let b = 88 - u. Let d = b + -8.7. Put d, -2\/7, 1, 2 in decreasing order.\nAnswer: 2, 1, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31395484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 188053.3 times -0.1?\nAnswer: -18805.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.052 - 0.052. What is the closest to v in 2\/11, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-10))\/(2\/1420). Let c = 67 - 45. Calculate the lowest common multiple of c and (-1)\/(-4) - q\/(-16).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9937790587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -249 - -255. Suppose 3*f - 2*i = f, -i - x = -4*f. Solve -4*q + 5 - 20 = -3*n, 3*n + 3 = -f*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122495225 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(27\/4))\/2. Let y be (-2)\/(-6)*(-3)\/166. Let u = y + -325\/1162. Which is the closest to u? (a) s (b) -1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6946107*b**3*d + 909*b**2 - 3013*d wrt b.\nAnswer: 41676642*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2688273 is divided by 1465.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-21)\/9)\/(5\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - o = -8*p + 436, -o - 4 = 0. Solve p*l = 140*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2 + 1648026*m - 226332474723 = 0.\nAnswer: 274671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 25*l + 3. Let n be v(25). Let f be 0 - 1 - (-1 + 1). Let s = n + f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267944926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**3 + 6*i - 14. Let a be w(3). Which is bigger: -78 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -28. Let n = 7 + s. Let f(o) = -n - 2*o + 16 + 0*o. Calculate f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216 + 205.9. Let x = -10 - b. Let g = 708.7 - 709. Put -0.5, 1, x, g in decreasing order.\nAnswer: 1, x, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 109 = -32. Is c\/4 + (-1)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(85) - (sqrt(85) - -1*sqrt(85))) + (sqrt(85) - -1*2*sqrt(85)))\/(3*(sqrt(15)\/(sqrt(12)\/sqrt(4)) - 6*sqrt(20)\/sqrt(4))).\nAnswer: -16*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50355 and 48?\nAnswer: 805680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a decade in months?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -18*p - 3*p**3 + 3 + 9*p + 11*p - 4*p**2 + 2. Let a(l) = -2*l**3 - 5*l**2 + 3*l + 5. Let q(z) = 4*a(z) - 3*c(z). Determine q(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 54*f - 52*f - 117 = 0, -3*f + 234 = 2*d. Calculate the lowest common multiple of d and 1287.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 + -1.54577?\nAnswer: -409.54577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220331422 (base 5) to base 14.\nAnswer: -1a9bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17637*0.23.\nAnswer: -4056.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 515477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:01 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15165 divided by -9.\nAnswer: -1685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -711543, -1423057, -2134575, -2846097, -3557623, -4269153, -4980687?\n\"Answer: -2*u**2 - 711508*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**6\/3 + 12*y**5\/25 - 22*y**4\/5 - 36*y**3\/5 - 9*y**2\/5 + 1723. Let u(m) = 0. Calculate m.\nAnswer: -3, -1, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 + (0 - 3545\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -249? (a) 97\/3 (b) 8 (c) -5 (d) -3\/7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -2125877 (base 13) to base 6\nAnswer: -1000205352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.016052\nAnswer: -0.0032104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 + 108218*m\/3 + 324653\/9.\nAnswer: (m + 1)*(m + 324653)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1718 - -1895. Calculate the remainder when h is divided by 96.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11701999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3.2, -59, 1\/3.\nAnswer: -59, -3.2, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 2*y**2 - 3*y. Let w = -172 - -175. Let f(h) = -2*h**2 + 18*h**w - 19*h**3 + 2*h + h**2. What is 4*f(z) + 3*n(z)?\nAnswer: 2*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 135*i**4 + 712*i - 2*i**2 - 361*i - 358*i to the form z*i + u*i**3 + d*i**2 + c + y*i**4 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 1, i: 2, u: 2}. What is prob of sequence uz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 5*g**2 + 0*g**2 - 167*g + 167*g - 24*g**2 - 2*g**2 - 3*g + 3*g + (0 - g + 0)*(g + 0*g + g) as d*g + o*g**2 + y and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (429\/12)\/13*17172\/(-477)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -179, -360, -555, -770, -1011, -1284, -1595?\n\"Answer: -c**3 - c**2 - 171*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4441 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**0)*b\/b**(1\/6)*(b**1\/b)**(4\/3) assuming b is positive.\nAnswer: b**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385158*s - 385178*s + 770322*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 1740\/90)\/(((-435)\/(-1440))\/(-29))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 69*r + 36 - 14.\nAnswer: 69*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 28*m - 24. Determine n(15).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15179 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/60 + 7*o**4\/24 + 5*o**3\/6 + 46*o**2. What are the prime factors of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 25\/(-35))*-7. Suppose 5*l = -3*o + 45, 3*l = -h*o + 26 + 1. Calculate the remainder when 224 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 plus -585600.571?\nAnswer: -585602.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -35*m**4 + 865*m**3 - 3355*m**2 - 20665*m - 5610 = 0?\nAnswer: -3, -2\/7, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.046 + -31.954. Which is bigger: b or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*c = -21 + 17, 0 = -4*u - 3*c - 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.04 (b) -348848 (c) 1\/4 (d) 2\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345 + 31*u**2 - 26*u**3 - 1345.\nAnswer: -26*u**3 + 31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -34. Which is the nearest to 1? (a) -2\/7 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 37. Suppose t*n - 10229 = 3794. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -25*n**2. Let l(s) = 2*s + 81. What is p(l(y))?\nAnswer: -100*y**2 - 8100*y - 164025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-1 + 2)) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 56. Let r(f) = -14 + 16 - 19*f**2 - f + 18*f**2. Calculate r(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:22 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 7. Let k = f + 5. Which is the smallest value? (a) k (b) -1\/2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25225.1*1\nAnswer: 25225.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (19\/95)\/((-2)\/(-4610)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164.0208895+77538\nAnswer: 77702.0208895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:04 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -89 (b) 2\/33 (c) 2 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or 6142.5?\nAnswer: 6142.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+7.3745824\nAnswer: 7.0745824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2450 and 39275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21 + 3591)\/14 - 5*-1. Which is the fourth biggest value? (a) 2 (b) 3 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 522*b**2 + 74400*b + 1599104.\nAnswer: (b + 26)*(b + 248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 20589880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 - 52*b**6 + 24*b - 45*b**6 + 108*b**6 - 3*b**2 wrt b.\nAnswer: 1320*b**3 - 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8105 and 1573991.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2623*r + 6. Let u(s) = -873*s - 2. Give -6*g(i) - 17*u(i).\nAnswer: -897*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.156683 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 - 142. Let u(h) = 44*h**3 + 158*h**2 - 4. Let r(q) = 46*q**3 + 156*q**2 - 5. Let n(d) = o*u(d) + 4*r(d). Find the third derivative of n(v) wrt v.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.15. Let p = d - 3.1. What is the third biggest value in -1, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 12\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:35 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0221152 take away 274264?\nAnswer: -274263.9778848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/7 (b) -0.3 (c) -3\/58 (d) 26 (e) -1\/3 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, -2877, 2 in decreasing order.\nAnswer: 10, 2, 0, -2877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/((-2)\/8). Let f = 7\/719 - 2897\/2157. Which is the closest to f? (a) -1 (b) 0.6 (c) i (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34659 is divided by 7779.\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1097, 2197, 3301, 4409, 5521, 6637?\n\"Answer: 2*m**2 + 1094*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*2*75\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**5 - 7*z**4 - 3*z**3 + 9*z**2 + 4*z + 2. Let t(v) = v**5 + 13*v**4 + 6*v**3 - 18*v**2 - 7*v - 5. Let o(d) = -5*f(d) - 2*t(d). Factor o(r).\nAnswer: 3*r*(r - 1)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = a + f - 3*f, 3*f = -4*a - 11. Which is bigger: a or -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41606716141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*w + 25 = 0, 4*w - 828 = 2*u - 838 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 8*k**2 - 11*k - 7. Suppose 4*l - 2*l + 4*f + 34 = 0, 0 = 2*f + 10. What is the remainder when c(l) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*v, 0 = -0*z - 5*z + 4*v. Suppose -12 = -3*j - 3*b, z = -5*j - b - 3*b + 22. Find the first derivative of 31*o**2 - 31*o**2 - 4 - j*o**4 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012967498 to 5 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, u: 12}. Give prob of picking 2 u.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 3.5576.\nAnswer: 1.06728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238 - 236.576. Let w = 0.064 - t. Round w to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 7*h - 8. Let s(a) = -15*a**2 - 3. Let c be s(-2). Let k = c + 49. Let o be (12\/14)\/((-2)\/k). What is u(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/2880 + k**5\/80 + 3*k**4\/16 + 11*k**3\/6 + 16*k. Let u(a) be the second derivative of o(a). What is z in u(z) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-44) - (-6 - -2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 32 = -0*o - g, 2*o = -5*g + 55. What is the common denominator of o and 31\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 15 (c) -2\/5 (d) -148 (e) -0.1 (f) 0.1 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14 - 6*o - 14. Let w(j) be the second derivative of j**4\/6 - j. Calculate l(w(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57108*s**5 + 78*s**4 + 9*s**2 + 1008261 wrt s?\nAnswer: -3426480*s**2 + 1872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1165, 1233, 1301?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -2.2, 2\/15, -125, 20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/2 + -5. Let j = 4.45 - 0.45. What is the nearest to q in 0.3, -5, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 100192116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113293 is divided by 113215?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 895*h**4 - 65395*h**3 + 1228740*h**2 - 1242000*h + 77760 = 0.\nAnswer: 12\/179, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 96*r**3 + 22*r**2 - 211*r - 523. What is i(-2)?\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-6)*4\/6. Suppose c - w*d - 6 = 0, -4*d = 4*c - 7*d - 7. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 5)*-1 - -4. Let f(u) = 2*u**2 - 3*u - 5. Let i(r) = -2*r**2 + 2*r + 4. Calculate n*i(b) - 2*f(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31214320 (base 5) to base 14.\nAnswer: -69b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(1 + sqrt(242)) + 1 + (sqrt(512) + 4)*-3)**2.\nAnswer: 150*sqrt(2) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -45*l**3 + 4*l**2 - 3*l + 9. Let t(s) = 11*s**3 - s**2 + s - 2. Calculate -2*n(k) - 9*t(k).\nAnswer: -9*k**3 + k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73593 * -0.2.\nAnswer: -14718.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 934\/7. Sort t, 4.3, -0.4 in increasing order.\nAnswer: -0.4, t, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -11. Let f = p + -32. What is the closest to -1\/4 in -1, f, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 28 - 2)*(-2 + 0 + 0)*(2*r - 4 + 4) + r - 2*r - r + (-r + 3*r + 0*r)*(0 - 3 + 2) + r - 1 + 1 - 3 + 3 - 2*r.\nAnswer: 55*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9515.4162 rounded to the nearest 10?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1465 * 0.5.\nAnswer: -732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -13\/3, 3\/20, -4\/23, -3 in increasing order.\nAnswer: -13\/3, -3, -0.5, -4\/23, 3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.9 (b) 5 (c) 9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 12 = 18*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2 - 4. Let r(o) = 7*o - 4. Let p(t) = -15*t + 9. Let z(w) = 6*p(w) + 13*r(w). What is the units digit of z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 112 = -2*f, 2*f + 5*c = -305 + 271. Let v(q) = -q**3 - 32*q**2 - 2*q - 63. Give v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2166 and 2632830.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*p - 0*t + t, -5*t - 88 = -4*p. Suppose -p = -4*s - 10. What is the second derivative of 0*b**4 - 3*b - 4*b**4 - s*b**4 + b**4 wrt b?\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 14*b - 7 - 7 + 0*b. Let u be h(12). Suppose -6*x - 112 = -u*x. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4417.11 hours?\nAnswer: 184.04625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 17. Suppose c = -2*y + 15. Suppose y*n - n + k = 161, 4*n - k = 159. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5 - 1150*x**4 - 7020*x**3 - 14120*x**2 - 9440*x = 0 for x.\nAnswer: -2, 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*w + 1, -w = 2*m + 3*w - 12. Let j(r) = -2 - 5 + r**3 - 2*r + 0*r + m*r**2 + 2*r**2. Calculate the remainder when j(-5) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 - 3*h. Let z(g) = 15*g**2 - 5*g. Let r(n) = -5*b(n) + 3*z(n). Let k(c) = 5*c**2. Determine k(r(d)).\nAnswer: 125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from kmpkmtkykk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 214501?\nAnswer: 4719022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1640*b. Let z(j) = -119*j + 1. What is r(z(c))?\nAnswer: 195160*c - 1640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + 0*w)*(3*w**2 + 0*w**2 + 0*w**2) - 14*w**2 + 14*w**2 + 3*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-30)\/25)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695495 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*h*l*y - 2232*f**2*l*y + f**2*l - 2*f*h*l*y + f*l*y - f*l + h - 337*l*y - 2*y wrt f?\nAnswer: -4*h*l*y - 4464*l*y + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-4)*(-16)\/(-40). Find the common denominator of -23\/2 and 12\/((-25056)\/(-60))*(-11)\/b.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-29 - -6 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4746 to 2 decimal places.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p + 3*y + 180, 72 = 2*p - 3*y. What is the units digit of (-24)\/p - (-526)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -1\/3*j**3 + 1 + 0*j**2 + 8*j. Let k(z) = 59*z**2. Calculate d(k(l)).\nAnswer: -118*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 866 + -717618?\nAnswer: -716642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192 + -182. Let o(l) be the first derivative of -1\/5*l**2 - 1\/15*l**3 - f + 3\/5*l. Factor o(v).\nAnswer: -(v - 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5, 4*h = 3*x + 2*h - 139. Suppose d + x = 5*t, -6*d + 40 = 4*t - 8*d. Let o be -1 + 0 - (0 + -5). Solve -o*k + 7 + t = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (3 - -9) + 3 + (-23829 - -23791)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/5)\/g)\/g)**41*(g*g**(-4)*g*g*g)\/g**(-7))\/((g**(-1)*g)**(4\/11))**(-9) assuming g is positive.\nAnswer: g**(-293\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-30)*(-131)\/(3013\/(-138))*-5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -48. Sort -1.1, n, 0.\nAnswer: -1.1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -14. Let b = q - 34. Calculate the lowest common multiple of 3 and 9 - (b + 6 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 + 0 = 0. Suppose 3*u - 5 - k = 2*z, -2*u - z + 3 = 0. What is the third derivative of 6*r**6 - 2*r**6 - r**2 - r**u wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358232.85 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7992753 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + -1 + 3. What are the prime factors of s\/((-1)\/(-7)) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110003 (base 4) to base 14\nAnswer: -679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -16?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*l + o - 4, -5*l + 2*o + 22 = 0. Suppose 2*h - 3*h = s - 254, l*h - 4 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 2*q)*(6*q**4 + 0*q**4 + 0*q**4) + 3*q**5 + 3*q**5 - 4*q**5.\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-5 + (11 - 4) - (1 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b + 6. Determine y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -10 - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3694)\/(-54))\/(18\/(-54)). Let x = 205 + v. Suppose o + k - 4 = 0, -6*k = -3*k - 12. Is x greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93 - (121 + -67)) + -91.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 2*n**2 - 2*n + 3. Let i be d(3). Solve -i*k + 3*k = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2 + 4 + 8*x**2 + 9*x - 23*x**2 + 9. Let u(f) = 7*f**2 - 4*f - 5. Let l(m) = -6*o(m) - 13*u(m). Factor l(j).\nAnswer: -(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 214.3 + -200. Let b = -14.7 + n. Let z = 12 + -10. What is the nearest to -1 in b, z, -2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 2*h + 4*h. Let m = h - 30. Solve m*x + x = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59137, 236760, 532799, 947254?\n\"Answer: 59208*d**2 - d - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1481.1 + 1481. Which is the smallest value? (a) 10 (b) v (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200956*w - 200956*w + 1682*w**3.\nAnswer: 1682*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2223 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2115 - -2120. Solve -8*o + 5*o = -s - 7, -4*o + 22 = l*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102316732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.3 - -83. Let s(c) = -2*c**2 - 7*c + 6. Let j be s(-4). What is the second biggest value in j, m, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46062 divided by -5.\nAnswer: -46062\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + 65\/(-60)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13587?\nAnswer: 3, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/9)*g*g**(-9\/2)\/g assuming g is positive.\nAnswer: g**(-85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7669982.88 nanoseconds in weeks?\nAnswer: 0.00000001268185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(g + 2*g - 4*g) + 288*g + 634*g - 588*g - 2*g + 2*g + g to t + l*g and give l.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/1440 and -137\/41760?\nAnswer: 41760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2546650 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1370*h - 5082 = -20152 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 - 182. Suppose 4*t - 12 = 0, 2*j + 5*t - g = 11. What is the nearest to 0 in 2, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(5 - 2)\/(-3). Suppose c = 2*x - 2. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653370?\nAnswer: 2, 3, 5, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*2 + sqrt(450) + sqrt(450))\/((sqrt(40)*2)\/sqrt(4)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((2*sqrt(75))\/sqrt(3))\/(sqrt(30)\/(sqrt(6)*-2))*-5)**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*o + 20 - 20)*(2*o + o**2 - 2*o).\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -13*g + 17*g. Calculate the highest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 132 (b) -3 (c) -136 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + z + 25 = 0, 3*z + 19 = k. Suppose k*h = 2 + 126. What is the highest common divisor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 189*j**3 + 305*j - 178*j**3 + 564*j**3 - 195*j**3 in the form i + q*j**3 + o*j + p*j**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35167 from 23172863.\nAnswer: 23137696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -36, -88, -176, -312?\n\"Answer: -2*k**3 - 14*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5608.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987 is divided by 1641?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t. Let s(b) = 31*b. Let f = -923 + 949. What is f*v(r) + 6*s(r)?\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718975 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*h + 2*g, -2*h - 5*g = h + 64. Let w = 12 + h. Let x(t) = 18*t + 1. Calculate x(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 6. Suppose -2*o + 7*o = 4*l + 71, 4*o - 48 = l. Let s = o - d. Solve 2*r + s*u = 4*r + 8, -u = -4*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/33 and -76\/57501?\nAnswer: 632511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1533 and 6351?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 - 34*h**2 - 33*h = 0.\nAnswer: -33, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5090792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.5 + -13. Which is the biggest value? (a) -1 (b) -8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 0 - 3. Let o be (5\/6)\/(-5)*x. What is the nearest to o in 2\/19, -1, -1\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 23*a + 55. Let f be b(-20). Let c be 2*(7 - (f + 5)). Suppose -c*l + 12*l = -22. What is the remainder when 30 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Let q be d(-8). Let k be 0 - (2\/q)\/1. Suppose 2*s - 4 = x + 6, -s = x - 5. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 5*y**3 + 20 + 2 - y**4 - 3*y**2 - 47 + 23 to the form z*y**4 + a + w*y + m*y**3 + s*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13316774 and 15322.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 = 5*x, 0*q - 2*x = -5*q + 23. Let z be 5*((-6)\/q)\/(-2). Suppose -2*o = -z*r + 2*o + 174, -3*r + o = -110. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*x + x. Let t(n) = 26*n**2 + 3*n - 1. Calculate the remainder when t(x) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -199, -411, -663, -973, -1359, -1839?\n\"Answer: -3*u**3 - 2*u**2 - 185*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 19*w**2 + 25*w - 15. What is the units digit of m(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -520, -10, -9, 6, -14.\nAnswer: -520, -14, -10, -9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w = -0*q - q - 54*w + 16, 2*q = w + 32 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33393, 66680, 99967, 133254, 166541, 199828?\nAnswer: 233115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*j + 13, -2*j - 12*r - 4 = -15*r. Put j, 5, -13 in decreasing order.\nAnswer: 5, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + 7*z - 7. Let k(r) = -3*r**2 - 4*r + 4. Let h = -51 - -55. Let l(b) = h*a(b) + 7*k(b). Let s(p) = -2*p**2 + 50*p. Determine s(l(q)).\nAnswer: -2*q**4 - 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/45635144 and 47\/8?\nAnswer: 45635144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + -1) + (sqrt(175) + 2)*-6 - 3*(2 + (-1*sqrt(175))**2 + -6*(sqrt(175) + -1)**2))*-4.\nAnswer: -10484 + 760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*l + 135, -4*l - w = -3*w + 246. Let k = 65 + l. Let c(m) = m + 17. Calculate the remainder when c(0) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*255*752\/235. What is the highest common factor of 51 and p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85099.59ng in kilograms?\nAnswer: 0.00000008509959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7117 is divided by 1777.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-55)\/10 + 5)\/(1\/3). Which is the closest to -1? (a) w (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:12 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -404539009*y**2. Let q(c) = 4*c**2. Calculate i(q(u)).\nAnswer: -6472624144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1549, 1512, 1435, 1312, 1137, 904, 607?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + o**2 + 22 - 25 as n*o + y*o**2 + m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 243488 divided by 2174\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Suppose 0 = 5*s - i*s - 27. Let m = 38 - s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1110 - 690. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.53 and -2656629262.\nAnswer: -2656629262.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*h**4 - 88*h**4 - 1087*h**4 - 481*h**4 + 133*h**4 + 1007 wrt h.\nAnswer: -6472*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -602204.6166264 and 1.\nAnswer: -602203.6166264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*v - 8. Solve 12*j - v = 11*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949263 divided by -5?\nAnswer: -5949263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1109 = -3*m, -i + m + 663 = 2*i. Let u = 242 - i. Calculate the lowest common multiple of 40 and u.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -100*o. Let u(f) = 2*f**2. Determine u(n(r)).\nAnswer: 20000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - w - 5*w + 8*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (24\/16 + -1)*0. Suppose -4*l - 3*o - 2*o + 221 = 0, -5*l = 5*o - 275. Let f = l + -31. Solve 3*x + 5*t + f = y*x, -2*x = -t - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 10, 1\/6, 1\/5, -0.17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, d: 2, f: 5, l: 1}. Give prob of sequence fdsd.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -121*f**6\/360 + 11*f**5\/20 - 3*f**4\/8 - 49*f**3\/6 + 32*f**2. Let u(m) be the first derivative of l(m). Solve u(d) = 0.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-4 - 3) + (-4 + 7 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.21, -3, -4\/3, -0.5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 933329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w - 4*w**3 - 1 + 3 + 2*w**2 - 6*w. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-5))\/((1\/2)\/(225\/(-90))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - b**2 - b + 7. Let c(t) = -t**3 - t**2 - t + 6. Let v(f) = -7*c(f) + 6*z(f). Let g be v(-1). Suppose 168 = g*y + 18. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -83. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -112, -63, 6?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**3\/2 - 5*k**2\/2 - 6*k. Let y(r) = -4*r - 6. Let n(g) = 5*m(g) - 4*y(g). Suppose 0 = 5*t - 10 + 40. Determine n(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252) - (sqrt(7) + sqrt(7) + -1 + sqrt(7))*5*-3)**2 - (4 + (2 + (sqrt(448) - (sqrt(448) + sqrt(448) + 0 + sqrt(448))*5))**2).\nAnswer: -64848 - 1262*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -612 - -2.18.\nAnswer: -609.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 13) + 17 + (-3 - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11\/475, 0.13, 0.09, 2\/3?\nAnswer: -11\/475","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hezjt. Give prob of sequence et.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86308 is divided by 5640.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028 + 0.0655.\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 580083.\nAnswer: 11021577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18 and 5.066968?\nAnswer: 12.933032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/24 + 2*n**3\/3 + 210*n**2. Let b = 188 + -193. Give c(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 4, e: 2, n: 1}. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 26331266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10111100000100110001 (base 2) to base 12\nAnswer: 311981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -56, -2, -187, 6 in descending order.\nAnswer: 20, 6, -2, -56, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:15 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8.14, -3, 1\/5, -1?\nAnswer: -8.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4115*o - 4116*o = -z - 8, 0 = -3*o + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 - 6. Let l be u(0). Let v be (l\/(-9))\/(1\/6). What is the units digit of 18\/v + (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -51c?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154356276.\nAnswer: 2, 288589069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.386289 times 2?\nAnswer: 22.772578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + (-1070)\/(-8). Suppose 6*y = -x - 64. What is the smallest common multiple of 1 and 3\/2 + y\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20448 divided by -426.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(6 + 2 - 3)*(2 + 2*g**2 - 2) + (-2*g**2 - 3 + 3)*(3 + 1 - 7) - g**2 + 0 + 0 in the form u + r*g**2 + n*g and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56359.87 micrograms to milligrams.\nAnswer: 56.35987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/3))**49)**(-43) assuming b is positive.\nAnswer: b**(-10535\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u + 233 = 585 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*-2536 - (-9)\/9. Let x = y - 789. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005546227 to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5430037\/37917 + 92\/3447. Let c = -230 - -87. Let f = t - c. Sort 1\/2, f, 0.1.\nAnswer: f, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 7159.\nAnswer: -1\/7159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23481 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t\/((t**(2\/3)*t*t*t)\/t))))**(-10)*(t**(-1\/4)\/t)\/(t\/((t**(3\/7)\/t)\/t)))**48)**(-20) assuming t is positive.\nAnswer: t**(-19120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**7\/1120 - a**6\/240 - a**3\/2 + 2*a**2. Let i(p) be the first derivative of c(p). Let i(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13704.83 millilitres in litres?\nAnswer: 13.70483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2.6.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9186149 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 - 1\/90*f**6 + 12*f**2 + 0*f - 8\/3*f**4 + 4\/15*f**5 - 11\/6*f**3. Let m(j) be the first derivative of l(j). Factor m(v).\nAnswer: -4*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(5*1*sqrt(171) + 4*sqrt(171)*-2)\/(2*(sqrt(9) + -1*sqrt(1089))))*2.\nAnswer: -9*sqrt(19)\/5 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 20484*k + 3576560 = 0. Calculate k.\nAnswer: -4940, -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930 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 y - 5 = -4*y, u = -2*y + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 + 8*n**2 + 271.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 14*m - 18. Suppose 4*u = -4*t + 68, 2*t = -3*u - 6 + 52. Suppose -2*h = -u - 14. Let j be n(h). Round j to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {p: 3, x: 3, m: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*k**2 + 40*k**2 + 54*k**2 - 7*k**2 + 0*k**2 + 4*k**2 + (0*k**2 - 2*k**2 - 3*k**2)*(-1 - 1 + 0) as d + s*k + f*k**2 and give f.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -1. Let d = -0.055 - 0.945. Let q = -2 - 0. Which is the second biggest value? (a) f (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51063 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = 48. Let p = -19 - v. Determine y, given that -8*y**2 + 6*y**2 - 11 + 3 - 13*y + p*y = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -622125 * 0.3\nAnswer: -186637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-11 - -1)\/5. Solve 4*w = -i + 9, 4*i - w - 4*w - 15 = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 54 = -3*g. What is the greatest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**8\/42 + x**4\/24 + 13*x**2. What is the second derivative of r(l) wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 464.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(4\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/13639612 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 41*j**2. Let p(h) = 7*h**2 - h**2 + 14*h**2 + 27*h**2. Give p(v(d)).\nAnswer: 79007*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 628989370*a + 193749355 wrt a?\nAnswer: 628989370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575237 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617033 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532380 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000001120202021 - -21?\nAnswer: 20000001120202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 1. Let u(m) = -14*m**2 - 3. Let z(k) = 11*q(k) + 4*u(k). Give z(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-6)*(-20)\/60)\/(45\/(-48))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243 - 239. What is the third derivative of 3*i + i**2 + 10*i**4 - 254*i**r - 2*i - 4*i wrt i?\nAnswer: -5856*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**2 - 6*m - 4. Suppose 0 = 14*g - 35*g + 105. Let x(f) = 6*f**2 + 5*f + 3. Determine g*x(q) + 4*i(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -76, -131, -182, -229?\n\"Answer: 2*z**2 - 61*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14*28\/12. Let o = 0.88 + -1.28. Sort -12, 1\/7, l, o.\nAnswer: -12, l, o, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 181*c - 53*c - 75*c - 82680. What is the smallest common multiple of c and 4485?\nAnswer: 35880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 33*b - 37. Give f(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 34*f - 15*f - 142*f + 63. Let i(o) = 61*o - 32. Let z(n) = 9*i(n) + 5*p(n). Let u(c) = 5*c - 2. Determine 27*u(r) + 2*z(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -53, -77?\n\"Answer: -24*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 60 - 129 = 0. Suppose 63 = 3*r + d. Sort 5, r, 3, -3 in decreasing order.\nAnswer: 5, 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031995 = 264*b + 1036219 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3001858?\nAnswer: 2, 1500929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v. Let y(a) = -a + 5. Suppose 0 = -4*n - 4*c - 8, c = -4*n + 2*c + 7. Let m(q) = -1. Let i(z) = n*y(z) + 5*m(z). Give i(l(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*i - 26, 0 = 16*k + 58*i - 55*i - 248. Solve 55*z + 426 = -k for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 35346\nAnswer: -706920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -1\/10 (c) -1\/8 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*a*i*j**3 - a*i*j**2 + 2*a*i + a*j - 90903*i*j**3 - 279*i*j**2 + 206*i*j - 4 wrt j.\nAnswer: -252*a*i - 545418*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.1044 hours to milliseconds.\nAnswer: 11175840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*(v\/((v*(v\/v**(9\/4))\/v*v)\/v))\/v)\/((v\/(((v*v*v**(7\/2))\/v)\/v))\/v)*(v\/v**(2\/5))**(1\/19) assuming v is positive.\nAnswer: v**(3337\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6271497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18*(-39)\/(-2) - -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375 = 5*l - o, 0 = -2*l + 2*o - 18 + 576. Suppose l = v + v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 2*h**3 + 8*h**2 - 20*h**2.\nAnswer: -3*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.44 + 13.44. Which is greater: 2\/227 or v?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = x - 2*b, -4*x - 4*b + 2*b = -104. Let y be -2*3\/(-12)*6. Calculate the highest common divisor of y and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*y = 804, -3*g + 476 = 11*y - 7*y. What is the highest common divisor of 4260 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/4 - 4443*s**4\/4 - 8871*s**3\/4 + 48863*s**2\/4 + 13314*s - 39969 = 0.\nAnswer: -4441, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 3. Let i(r) = -r**2 + 14*r + 13. Let f(j) = -i(j) + 3*y(j). Let d be (1 - (-4 + 4))\/((-2)\/(-22)). Calculate f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 111*d - 6 + 103*d + 3 with respect to d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:49 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3031 is divided by 150.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56416 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4464 and 5580.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 43*g**2 - 157*g + 5. Let f = 36 - 21. What is the remainder when m(-39) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3290\/490)\/((-53)\/742)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 419 + 725 = 0. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - 2*sqrt(170)*1 - sqrt(170)) + sqrt(170) - ((sqrt(170)*-4*1 - sqrt(170)) + sqrt(170)))\/(-4*2*sqrt(360) + (sqrt(360)*-1*2 - sqrt(360))).\nAnswer: -sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0, -97, -3\/4, 1\/3, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**13))\/(i*i*i**(-10)) assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86165874.\nAnswer: 2, 3, 19, 251947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-2) + (-7)\/1. Suppose -40*d - m - 24 = 0. Which is greater: -18\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1) + -3)\/2 - (93 + -8 + -23).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -0.1 (c) -2.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7177, -12633, -18089?\nAnswer: -23545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*h - 20, 5*h - 2*k = h + 10. Let f(a) = -a**3 - 4*a**2 + 7*a - 14. Let u be f(-6). Solve r - u = h*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*(2 + 1). Let f be -486 - (0 - i\/(-1)). What is the units digit of (3\/(-6))\/(4\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x - 1. Let g be c(-1). Let k(i) be the first derivative of 0*i**3 + 2\/5*i**g + 2 + i**2 + 0*i + 0*i**4. Find the second derivative of k(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*z - 25 = 0, -7*z = 5*q - 2*z - 75. What is the remainder when q is divided by (-45)\/(-5) - -5 - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 18. Suppose -6026 = 26*n + 20*n. Let v = n + 123. Calculate x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 19. Suppose -n*q = -j - 19, -3*j - 3*q = -j - 6. Let g(m) = -5*m**3 - 4*m**2 - 4. Is g(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 92, 174, 252, 326, 396?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*p + 608 = 2718 + 410 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 - -134. Let g = 59055311.0000001 - 59055315. Let z = g - v. Round z to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*a = 6, 352*g = 347*g + a - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 120868 and 121196 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 10, q - 2 = -4*d + 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -426.5 + -5.17.\nAnswer: -431.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 5*j - 3. Let a = -16 - -19. Let o be p(a). Solve -g = -o*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 13*h**4 - 29*h - 2*h**3 + 7*h + 23*h - 6*h**2 in the form w*h + c*h**4 + j*h**2 + t*h**3 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4139 = -443*u + 3444 + 5264 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -24. Let a(n) = 73*n**2 + 4*n - 1. Let g be a(3). Suppose 128 - g = -5*f. Calculate the highest common divisor of u and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauaeaaaaaae. What is prob of sequence ea?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34332*c**2*x*y - 78*c**2 - 278*c*p*x*y + 349*c*p*x - 61*c wrt y.\nAnswer: 34332*c**2*x - 278*c*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38454.\nAnswer: 2, 3, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*x = 81*x. Let g be (-10 - x)*2\/4. Let l(j) = -j**2 + j + 4. What is l(g)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2086 - 20811\/10. Find the common denominator of 14\/3 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13586000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 4944 = -232*z - 7*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2 - 608*l + 7172 = 0.\nAnswer: -163, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1196.5516 + -1202.1. Round n to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -14*s**5\/5 + 11*s**3\/3 + 10*s**2 - 10*s + 659. What is the second derivative of k(i) wrt i?\nAnswer: -168*i**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8014344 and 83\/2632162?\nAnswer: 536961048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5906424 and 5906424?\nAnswer: 5906424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-6))\/(4\/6). Suppose 0 = 5*r - 149 + 39. Suppose r = 5*d + 2*t - 3*t, 2*t - 1 = d. What is the nearest to a in 0.4, 4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710112 is divided by 295.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7078601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -20*x - 1. Suppose -4*n - 5*z - 6 = 0, -10*n + 12*n - 6 = 2*z. Give m(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -138, -194, -250, -306, -362?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 616*x - 595*x - 63 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8575)\/(-1715) + (1 - 3 - -1 - (-35 + 0))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*l = -84*l + 75. Suppose -k + 19 = 5. Let g = k + l. Is g >= -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21625729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*k = 44, b + 46 = 9*k - 21. What is the remainder when 537 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -b - 2, -3808*u + 3813*u + 14 = 12*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/418710 and 67\/80?\nAnswer: 3349680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/15037372 and 67\/20266?\nAnswer: 15037372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - sqrt(76)\/sqrt(4)) + (2 + sqrt(2299))**2.\nAnswer: 44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278268 is divided by 34763?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, 1 e, and 1 r when four letters picked without replacement from hrrhtlllsslleest.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17860765 bigger than -17860766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:11 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5915 + -5828. What is the remainder when 712 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*g + 2*g - 9, 2*d = 9*g + 47. Sort 65, 1, g.\nAnswer: g, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 55 = -3*f + 237, 3*v = 5*f - 484. 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: b\"What is the rth term of -32977348, -32977347, -32977346, -32977345, -32977344, -32977343?\n\"Answer: r - 32977349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368195501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 19*w**2 + 56*w - 11. Determine s(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - -26. Let s(u) = 2*u**3 - 44 + u**2 - u - k + 90. Calculate the remainder when 86 is divided by s(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45744.69033 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 17 = 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601861061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -373*p**2 - 25*p + 12. Let v be q(12). Round v to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 2. Let n be q(11). Suppose n*o - 144 = 6*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 5. Let u be x(3). Let r(w) = -6*w + u*w + 6*w + 1. Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 1. Let k(x) = -x + 8. Let c be k(10). Let y = -2 - -8. Let t(l) = l**3 + 3*l**2 - 3. Give c*t(f) + y*o(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (100775\/(-58))\/(3\/(-6))?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -15)*1\/1. Let v(p) = p**3 + 11*p**2 - 3*p - 4. What are the prime factors of v(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + -4 + 1*((3*(sqrt(605) + 0) + (sqrt(605) + (sqrt(605) - (5 + -1*sqrt(605))) - sqrt(605)))*-1)**2.\nAnswer: -550*sqrt(5) + 15154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24997267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -20, -40, -78, -140, -232?\n\"Answer: -h**3 - h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 1, -9, -19?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)\/c**(1\/3))**4*c**(2\/7)\/c*c**(-6)*c**(2\/7)\/c**(-2\/9) assuming c is positive.\nAnswer: c**(-286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13))**(-1\/10)\/(b**(-3)\/(b\/((b\/(b**(-3\/5)\/b))\/b))) assuming b is positive.\nAnswer: b**(31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*(-3 + -4 + (sqrt(136)\/(sqrt(8)*2) - sqrt(17))))**2)*2.\nAnswer: 56*sqrt(17) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1245172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*q = 28, -5*q = -h - 3*h + 1. Calculate the least common multiple of h and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {h: 4, w: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.78909553 to four dps.\nAnswer: -1.7891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262 + 373. What is the least common multiple of r and 474?\nAnswer: 17538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -28*u**3 - 13*u**2 + 15*u + 13. Let t = 3633 + -3620. Let j(l) = -14*l**3 - 6*l**2 + 7*l + 6. Give t*j(s) - 6*f(s).\nAnswer: -14*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = g - 52, -5*q + 5*g + 27 + 33 = 0. Let r(s) = -4 + s**3 + 4*s**2 + 7*s**2 + q*s - 2 + 0*s**2. List the prime factors of r(-7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 103. Calculate the highest common divisor of f and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**3 + 33*s - 7*s**3 - 33*s.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 4*a**3 + 2*a**2 - 4*a**2 + 2*a**3 + 2*a - 2*a + 0*a**3 + 2*a**3 - 3*a**3 + (0*a + 0*a - 2*a)*(a**2 + a**2 - 4*a**2) - 2*a**3 + a**3 + 2*a**3.\nAnswer: 10*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13560192 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 304*x - 1938. Is 63 a factor of o(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 15, 4*n + 3*s + s = 128. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86800702?\nAnswer: 2, 19, 2284229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*v + 8\/3*v**2 + 2\/3*v**4 + 20\/9*v**3 + 2\/9.\nAnswer: 2*(v + 1)**3*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -2307467?\nAnswer: 2307470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12696*o**2 + 75*o + 10. Let s(d) = 6349*d**2 + 35*d + 6. Let k(u) = -5*s(u) + 3*y(u). What is the second derivative of k(m) wrt m?\nAnswer: 12686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**(-50)*(f**(-2\/15)*f)**50 assuming f is positive.\nAnswer: f**(730\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 316320.8mm in nanometers?\nAnswer: 316320800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 4. Determine d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(-1 + 2). Let y(o) be the first derivative of 1\/3*o**3 + 0*o + 1 + z*o**2. What is the second derivative of y(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13394 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152101 is divided by 76042?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 28. Suppose 14*q - 5*q - v = 0. Solve 11*r**3 - 12*r**2 + 9*r**3 - 4*r**q - 4*r**4 + 0*r**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(10\/7)*640\/1120?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1212*m**2 + 146*m + 7. Is k(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38933 - -39068. Suppose 0 = 3*s + 2*s - 350. Calculate the remainder when t is divided by s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 3045 + 1003 = 0. What is the common denominator of (6\/(-28))\/((-158)\/t - -1) and (-116)\/(-56)*4\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -772 + 613. Calculate the common denominator of (t\/9)\/((-490)\/15 + -4) and -13\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 53*k - 30 = 0. Calculate the remainder when 76 is divided by 26*5\/(k\/9).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3796894 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20307647 divided by 89461\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 8*n + 7. Give h(-6).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 3, 12, -0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (2 - 4) + 4. Suppose -6 = 2*o - x*o. Find the third derivative of -29*j**2 - 4*j**6 + 0*j**6 + 0*j**o - 10*j**6 wrt j.\nAnswer: -1680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.8 times -1.418\nAnswer: -64.9444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*u**2 + 11864448547 - 11864448547.\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 8. Let o = -2 + c. Let m(x) = x + 1. Calculate m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-45)*-1*(-15)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -5*g + u + 3*u = -18, -3*g = u - n. Suppose -5*v + 2*v + 5*v + g*v**2 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*a + 300 = 6*x, 3*a = -x + 89. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4))**(-7\/6))**45 assuming z is positive.\nAnswer: z**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50668201 to the power of 1\/2, to the nearest integer?\nAnswer: 7118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2153189848 from -0.04333.\nAnswer: 2153189847.95667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o\/o**(-1\/11))\/o)\/o)\/o)**20*o**(-2\/29)*o**(-3) assuming o is positive.\nAnswer: o**(-6779\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + f**4 - f**4 - 2*f**5 - 4 + 4 + (2 + 2 - 2)*(4*f**4 + 3*f**5 - 4*f**4).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(5 + (1 - 48522\/8088))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - q + 28, 15*b - 5*q = 19*b - 117. Let i(v) = -103*v. What is the remainder when i(-2) is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 2*sqrt(85)*6)*-6*-3)\/((sqrt(495)\/(-2*sqrt(9)))\/(sqrt(55)\/sqrt(20))).\nAnswer: 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.0638\nAnswer: 0.00638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 50*c**2\/3 + 388540*c\/3 + 754816658\/3 = 0?\nAnswer: -19427\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from {x: 11, e: 2, d: 1, p: 2, l: 3}.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36333145 (base 7) to base 14\nAnswer: 60305c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.3. Let q = -0.2 + 2. Let d = -0.2 - q. Which is the closest to d? (a) s (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 1. Let z be x(-4). Let l = z - -26. Which is the second biggest value? (a) -18 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -27 - 13 - -8 - -51.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*o = 4*v + 451*o + 22, 0 = -3*v - o - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 7*n + 11. Calculate m(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -22*l + 90 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88.2 + 92. Let s = 5.8 - l. Which is the closest to 0.2? (a) -4 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025 equal to 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 2*k - 9. Calculate l(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a hour in minutes?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810189324 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -5*u**8\/336 - u**7\/6 - u**6\/6 + u**5 - 158*u**2. Let f(r) = 0. What is r?\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xff when three letters picked without replacement from {g: 2, z: 3, x: 1, k: 2, f: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1 + 1. Suppose 2*n - i - 38 = 0. Suppose n = 4*k + k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -17. Let r = 2.5 - 4. Let d = p - r. Which is the nearest to 1? (a) 1 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/3 + 63*t**3 + 367*t**2\/3 - 435*t + 748\/3 = 0.\nAnswer: -187, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2548)*2 + sqrt(2548) - sqrt(2548))\/(3*sqrt(4)*1 - sqrt(4)).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100110111111100 (base 2) to base 9\nAnswer: -30342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 116. Suppose 0 = -d - 2*t + m, -d - 2*d = 5*t - 208. Suppose 4*n = 5*n - d. Calculate the remainder when n is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 4*k - 2*c + 12 = 0, -2*c - 24 = 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 4*u - 3*u)*(690 + 22032 + 541 + 315 + 9140)*(2 + 1 - 1) to the form j*u + h and give j.\nAnswer: 327180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005548797 rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/284182339 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19246\/35 or -550?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 670.1076 millimeters?\nAnswer: 0.6701076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(4\/2 - 0). Suppose 1 = -v*m + 5. Factor m*b**4 - 3*b**4 + b + 3*b**2 - b**3 - 2*b**2.\nAnswer: -b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 46.4. Let s = 51.3 - x. Let y = -4.300007 + s. What is y rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -44*j**3 + 4*j**2 - 3*j - 9. Let q be l(-7). Round q to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 14) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26160309 to the nearest integer?\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 7*w + 9 - 6*w + 4*w in the form y + r*w and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*t - 6447 + 5719 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-26 + 12)) + 6 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 17 = -5*v. Let o(m) be the third derivative of 0*m - 1\/6*m**3 + 3*m**2 + 0 + 1\/24*m**4. Determine o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.75327107 + -7.7527. What is x rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwnnsssnsnnnn. Give prob of picking 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/11 - 766*v**4\/11 + 30318*v**3\/11 + 62926*v**2\/11 + 31844*v\/11 = 0.\nAnswer: -419, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318008 is divided by 2118?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3353 - -3.6795.\nAnswer: -3349.3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 44 - 70 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2567035 is divided by 576.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:15 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4907.253 nanograms to kilograms.\nAnswer: 0.000000004907253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t - 1. Let m be z(0). Let s = 9 + m. What is the remainder when (1 - 2)*(-12 + -2) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 4) to base 11\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 958 and 380102?\nAnswer: 182068858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -3 + 2*u**3 + 0*u**2 + 6\/5*u**5 + 0*u**4 + 0*u. Find the third derivative of j(x) wrt x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d - d)*(6 + 7 + 0)*(4*d - 3*d + 2*d).\nAnswer: -117*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493046 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2313022 (base 4) to base 16\nAnswer: 2dca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.2 - 70. Suppose -154 = -10*v - 204. Which is the closest to -2\/7? (a) f (b) -1 (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/16 and (-142)\/12*(-21)\/14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13241?\nAnswer: 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127595453.\nAnswer: 347, 6131399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6848 divide 234626176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -776*r - 17030. Determine j(-22).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 315*x - 92957 + 78467 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 222*l + 164. Let p be s(0). What is the greatest common divisor of p and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2\/13, -12, -1\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-12) - 14\/(-30). Let r = 0.114 + -0.014. Let f = -0.2 - -0.3. What is the closest to f in 0, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 34 = 54. Suppose -3*n - 2*h + 20 = 0, -4*n - 6*h = -c*h - 8. Solve n*w = p - 2*p - 1, 5*p + 5 = -w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 11 = 13*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -612\/4139 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 909*z**2 - 68988*z + 68076.\nAnswer: 3*(z - 62)*(z - 1)*(z + 366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*l + 108, -l - 4*g + 53 = 17. Let x = l + -23. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 1. Let c(o) = -o**2 - 4*o + 9. Let d(m) = -c(m) + 3*v(m). Is d(-8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epc when three letters picked without replacement from epecpppj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(0 + 2 - 1) + (65 + 70 + 34)*(-4 + 3 - 1))*(d - d - 2*d**3).\nAnswer: 680*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 880533253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/542 and 61\/9?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.21 * 10.937.\nAnswer: 13.23377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/270 and 131\/2484?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2736 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 222 = -186. Let l(k) = -3*k - 1. Let s(y) = 2*y + 2. Determine w*l(h) + 2*s(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 36 (c) 3\/2 (d) 1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 518, -2\/13, 5, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 18 = -24. Let n be -13 + 4 + (x - -4). Let c be (-2)\/9*30\/n. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617.733 hours in days?\nAnswer: 150.738875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuur when four letters picked without replacement from rurrrrrrurrrrrurrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 533 - 8*c - 286 - 130. Let k be s(15). Let w(h) = h**2 + h + 5. Determine w(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 2*j**2 - 4)*(-2*j**3 - 3*j**3 + 3*j**3)*(-356 - 1350 - 50).\nAnswer: 7024*j**5 + 7024*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 - 4*x**3 - x**3 + (-96*x + 173*x - 91*x)*(2*x**2 - 3*x**2 + 0*x**2).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 + 11 = 0. Suppose -3*s = 5*q + 1, -2*s - 9 = -k*q + s. Let x(r) = -r - 1. Let u(n) = 2*n + 7. Calculate q*u(v) + 5*x(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7767851.\nAnswer: 7, 13, 85361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -26\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -37*b**3 + 11*b**2 + 41*b + 97. Does 11 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24065 - -8?\nAnswer: -24056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, -6, 0.1, -173, -16\/11, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llltsyu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2128 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 591.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/42*4)\/(12\/(-798)). Suppose 9*n - 153 = 207. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 1 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1378, 2750, 4120, 5488?\n\"Answer: -j**2 + 1375*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846 at least as big as 6758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 - 226. What is the third derivative of 13*n**k + 18*n**5 + 9 - 4 - 70*n**5 - 12*n**2 wrt n?\nAnswer: -3120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 88?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v + 1. Suppose 2*q + 4*n = 34, -4*n = -4*q + 29 - 9. Let u(b) = 302*b + 300*b - 586*b + 4. Determine q*l(z) - 2*u(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8731.777 minutes?\nAnswer: 523906620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1424, 1424, 1446, 1490, 1556, 1644, 1754?\n\"Answer: 11*y**2 - 33*y + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -473, 3 in decreasing order.\nAnswer: 22, 3, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzdg when four letters picked without replacement from {z: 1, i: 1, k: 2, o: 1, d: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + 0*c**2 + 2*c**2)*(-1 - 2 + 4)*(-3 + 3 - 10*c)*(2*c + 2*c - 2*c) as s*c + u*c**2 + r*c**4 + w + q*c**3 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 277183, 554365, 831547, 1108729, 1385911, 1663093?\n\"Answer: 277182*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3320 + 804?\nAnswer: 4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(6)*-1)\/(sqrt(180)*-3)*4)**2.\nAnswer: 8\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Is 11 a factor of 171\/15 + x\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2309755 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452845 is divided by 452833.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 2*o**2 - 2*o + 3. Let h be z(3). Let s = 23 - -82. Calculate the greatest common factor of h and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 = -16. What is the least common multiple of -1 + 4 - (-4 + 2) and y\/(-14) - 123\/(-7)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539*d + 251*d + 288*d - 4 - 10*d**2.\nAnswer: -10*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66081.762 rounded to the nearest 100?\nAnswer: -66100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -10. Let q be (p\/8)\/(3\/24). Let t be (27\/q)\/((-3)\/(-8)). Solve -5*g = -t*h + 18 + 9, -2*g + 3 = 3*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(2\/29)*n*n)\/(n\/(n*n**(1\/6)))*((n*n**(2\/7))\/n)\/(n\/(n**(-6\/11)\/n)*n))**23)**(-11) assuming n is positive.\nAnswer: n**(-300725\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -52*i**2 + 103*i + 18. Determine l(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 154. What is the highest common divisor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -6*n + 494. Calculate the highest common divisor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/1 + 4 + -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 685*u + 2323*u - 30576266*u**4 + 30576266*u**4 - 3597*u**5 wrt u.\nAnswer: -71940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 37*i - 327. Solve -3*l + 6 = -i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 2 + -31 + 36 + 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3036 = 17*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -7*g**4\/24 - 2*g**3\/3 - 35*g**2. Give h(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 66. Let x be w(21). Let d = -43 + x. Solve y = -d + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*l + 12*l + 35*l)*(-22 + 8 - 3*l + 2) in the form t*l + y + z*l**2 and give t.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21993587.\nAnswer: 7, 11, 285631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-17)\/3. Suppose -2*r + 4*y - 8*y = 0, -h*y = -4*r + 26. Suppose -r*m = o + 2, 3*o - 2 + 1 = -5*m. Is o > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 9*b**2 - 24*b - 14. Determine o(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1111*n**2 - 1877*n**2 + 3.\nAnswer: -766*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4536)\/(-135))\/(-14)*15\/2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.7741846 rounded to one decimal place?\nAnswer: -114.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(28\/168)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161327?\nAnswer: 3, 1387109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 470893 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3313121210 (base 4) in base 14?\nAnswer: -1c5420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-1 + sqrt(11) + 0))*2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17443172 is divided by 917?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14345 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4163595 micrograms in nanograms?\nAnswer: 416.3595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 59735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10614 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:32 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5797 = -282*j - 245*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(133) + sqrt(133))\/sqrt(7).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 - 860*c**3 - 26865*c**2 = 0 for c.\nAnswer: -27, 0, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**8\/1680 + r**7\/210 + r**6\/90 + r**4\/3 + 6*r. Let q(x) be the third derivative of p(x). Factor q(k).\nAnswer: 4*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -903.80018109 + 903.8. What is g rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**7\/35 + 8*u**6\/9 + 101*u**5\/10 + 259*u**4\/6 - 392*u**3\/9 + 120*u**2 - 6. Suppose j(v) = 0. Calculate v.\nAnswer: -7, -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n - 2. Let w be t(-2). Suppose -7*d + c = -2*d - 40, -5*d - 3*c = -w. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 24*h = 3*u + 120224, -2*u - 2*h = -60238. List the prime factors of u.\nAnswer: 2, 5, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/2115 + 11831\/1410. Let f = -3373 + 101201\/30. Calculate the common denominator of o and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from llslclsllplsspplplpl?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:11 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 4, 0, -18, -56?\n\"Answer: -o**3 + 2*o**2 + 5*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(30)\/(sqrt(486)*-2 - sqrt(486)) + 3 + ((0 + sqrt(80))*4 - sqrt(80)).\nAnswer: 4 + 323*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425225 is divided by 424519?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11198 - 11196. Let i(m) be the first derivative of 1\/3*m**6 + 13*m**4 - 18\/5*m**5 - 33 - 10*m - 68\/3*m**3 + 21*m**q. Find s such that i(s) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3\/3 - 125*k**2\/2 - 358*k. Let c(a) = -3*a. Give r(c(i)).\nAnswer: -6*i - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*p + 244, 3*p = b - 29 + 397. Suppose 2*d + p = 3*a, -2*d = 3*a - 5*d - 126. What are the prime factors of ((-32)\/a)\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 11655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8728 and 378577.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4152*f. Let t(a) = 570*a**2. Give t(j(l)).\nAnswer: 9826289280*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + v + 108 + 74, -5*i = -3*v + 942. Let r = 106 + i. Is r greater than -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78727800 divided by -2?\nAnswer: 39363900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -19*p**4\/24 - p**3\/6 + 3*p**2 + 104*p + 4. Determine m(6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 6. Let y(i) = 2*i - 17. Let h(g) = -17*k(g) + 6*y(g). Let w(f) = 11*f + 4 - 4. Let o(p) = -9*h(p) - 4*w(p). Let r(s) = s. Determine o(r(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/47205 or 0?\nAnswer: -2\/47205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/(-58)*21\/(-5))\/6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyytyqtqyq. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 27. Suppose 3*p + 1 = 3*f + 94, 92 = -2*f - 4*p. Let r be (-2)\/6 + 6\/f. Which is the closest to 1\/7? (a) r (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 - (-1 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*s + 2*j + 258, -852*j = 5*s - 850*j + 63 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) -0.0822 (c) -0.4 (d) 0.2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14265425 divided by -1975?\nAnswer: -7223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*a - 252 = 0, -3*a + 288 - 791 = -4*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53.4 * -145917\nAnswer: -7791967.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 64.9. Let h(x) = 2*x - 7. Let g be h(6). What is the third smallest value in g, t, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1306, -8194, -26878, -63256, -123226, -212686, -337534, -503668?\n\"Answer: -983*b**3 - 7*b - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 882570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(128) + -2*sqrt(128))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -6*x**3\/5 + 21*x**2\/5 - 9*x\/5 = 0?\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31356 and 355770?\nAnswer: 9250020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 11, 17\/226.\nAnswer: -4\/3, 17\/226, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m - 0. Let x be (0 - m) + 0*2\/(-6). Let r be 9 + (-9)\/x - 4. Solve h + h + r = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 59222*z**2 + 59281*z**2 + 2.\nAnswer: 59*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 6*c - 6. Determine m(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 82670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-6))\/(q\/q**(-7)))\/((q**(-2)\/q)\/(q**4*q)) assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/20 + 5*w**4\/12 - 2*w**3\/3 - 8*w**2 - 72*w. What is the hundreds digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 213 - ((-1)\/(-4*4\/128) - 11). What is the greatest common factor of 376 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 94*p**3 - 29*p**2 + 2*p + 1. What are the prime factors of d(3)?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 6 (b) -0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/21412 and 58\/14443.\nAnswer: 3061916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83723.15kg in micrograms?\nAnswer: 83723150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 845, 0.4, -2, 2\/15, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/54 and 119\/18090.\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/90 + (-12)\/(-5). Let t = i - 5. What is the remainder when (-1 - -8)*(t + 9) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 + 4*n - 2. Let i(m) = m**3 + 4*m**2 - 5*m + 3. Let d(c) = -3*a(c) - 2*i(c). Suppose d(q) = 0. Calculate q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(22\/3)*f**(-1)*f*f\/f**(-1\/9))\/(f*f*f**(-3\/7)*f**2)**43 assuming f is positive.\nAnswer: f**(-9143\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 387\/7, -2\/135, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3332 and 644?\nAnswer: 76636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 2. Solve 0 = 2*v + 3*b + 18, -2*b + 1 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108366, 216720, 325076, 433434, 541794, 650156, 758520?\n\"Answer: w**2 + 108351*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161 + -168 + (-6 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111100111110110011 (base 2) to base 11.\nAnswer: -4155426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (3 - 1))*1. Let m = -780 - -801. Suppose l = h - 12 + 6, 0 = 3*h - 4*l - m. Which is bigger: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 3. Let y be l(-3). Let w = 6 + y. Solve -5*h + q = -w*q + 24, q = -h - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 + 168. Sort -33, -1\/9, c in descending order.\nAnswer: c, -1\/9, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967*k + 1374 = 5*o - 1984*k, -430 = 5*o + 5*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4\/4 - 5*s**3\/3 + s - 194. Give j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**4*p**2 + 145*c**3*p**2 - 2*c**2*p - 4*c**2 - p**2 + 12 wrt c.\nAnswer: -168*c*p**2 + 870*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.69 and 1402438725161.\nAnswer: 1402438725160.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 2*u + 48 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 31*b**2 + 0 + 0.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-5)\/y)\/y**(-5)*y\/((y**(-2\/7)*y)\/y)*y**(-2\/13)\/y*y**35\/(y**(2\/3)\/y*y\/y**2) assuming y is positive.\nAnswer: y**(9955\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/(-310))\/(4\/(-20) - -3)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -64\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*w**6 + 106*w**2 wrt w.\nAnswer: -21600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(29 + -34)\/(-4 + 1). Suppose -u + 2*u = -w*y + 2305, y + 5*u - 437 = 0. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -960, -2018, -3072, -4122, -5168?\n\"Answer: 2*t**2 - 1064*t + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + 3 - 4. Put 7, y, 0.2 in increasing order.\nAnswer: 0.2, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13293 is divided by 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158587671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 15. Let c be q(13). Let m(k) = 2 + k**2 + 4*k**c + 8*k + 2*k**2 - 6*k**2. What is m(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5259*p = -5033*p + 2034 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177637*f*h**2*v**3 + 169334*f*h**2*v + 4*f*v**2 + h**2*v**3 - 2*h**2*v**2 + 10*h*v**3 wrt v?\nAnswer: 1065822*f*h**2 + 6*h**2 + 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 7:35 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 6, r: 1, x: 1}. Give prob of sequence xy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -70. Let t = 173 - 1212\/7. Which is the closest to 0.6? (a) t (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.84179um in meters?\nAnswer: 0.00000984179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 0.3, -0.14, -1\/22, -4\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791551517.\nAnswer: 791551517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -2*sqrt(84)*4 - sqrt(84))\/(sqrt(243)*1))\/((2*sqrt(196) + sqrt(28)\/(-2*sqrt(7)))*-5).\nAnswer: -16*sqrt(7)\/1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-2*2\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5265, 5273, 5293, 5331, 5393, 5485, 5613?\n\"Answer: h**3 + h + 5263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*m**3*r**3 - m**3 + 2414*m**2*r**2 + 333*m*r**3 - 2*m*r - 906*r - 1 wrt m.\nAnswer: -900*m*r**3 - 6*m + 4828*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a = -59*a + 4095. Let o = a - -317. Suppose 3*r**3 - 3*r**o - 3\/4*r**4 + 0 + 0*r = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2. Let x(u) = -746*u**2 - 32*u + 16. Let f(a) = -149*a**2 - 6*a + 3. Let n(r) = -16*f(r) + 3*x(r). Calculate n(h(v)).\nAnswer: 3650*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -6) + (1 - -1) + 3. Suppose -v*a = 170 - 803. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-3))\/4*0. Suppose 5*k - 4*x = n, 5*k + x = -0*k. Suppose k = h + j + 4*j - 87, 183 = 2*h + j. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1119? (a) 0.1 (b) 3\/4 (c) -1 (d) -13\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -13, 5.\nAnswer: -13, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26207\/99360 + -29\/2484. Calculate the common denominator of 1\/128 and s.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-1))\/9)\/(1\/876*(495 - 499))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 118432, 474200, 1067148, 1897276, 2964584, 4269072?\n\"Answer: 118590*n**2 - 2*n - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.1, 7, -167.71, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-42) - 522\/(-42). Sort a, -9, -3 in increasing order.\nAnswer: -9, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-13 - -7) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(44) - (-2*sqrt(132))\/sqrt(3)))\/((-2*sqrt(1152))\/sqrt(2)).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 5)\/(4 + -2 - 0). Let p = -11.1 + -0.9. What is the second smallest value in p, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42))\/((-3)\/(-18))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 144 - 143 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*6\/27)\/(1\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39\/4 - -10. Find h, given that 1\/4*h**3 + 1\/4 - q*h - 1\/4*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c (base 13) to base 7\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-24) + (262\/4)\/1. Let g = x - 30. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**4\/8 - a**2. Let b(p) = -17*p. Let m(t) = -4*t. Let x(i) = 6*b(i) - 26*m(i). Calculate x(h(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 4*k**2 + 4. Let a be p(-3). Does 10 divide (-3)\/(1 + a\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 - 150192*z + 1879803072 = 0. Calculate z.\nAnswer: 25032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110110 (base 3) to base 7\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*562\nAnswer: 56.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + h - 8*h - 3*h as c*h + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1557707202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397263039 to the nearest integer?\nAnswer: 19931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 20*m + 40. Let g = -53 - -133. Calculate the lowest common multiple of q(-2) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2460353 + 257?\nAnswer: 2460632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-22)*2 - (-5880)\/88. Let f = s - 57. Solve -f = -w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19495 and 0.03.\nAnswer: 0.0058485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -154 + 149 - (-4)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 0*q + q = 5, 5*q - 3 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 512121, 512120, 512119, 512118?\nAnswer: 512117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302485975.\nAnswer: 5, 11, 509, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 166.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i\/(i*i\/i**(2\/9)))*i*i)\/i)\/i)**(-1\/21))**(-22) assuming i is positive.\nAnswer: i**(550\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + -3 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 5*a**2 - 1683\/4*a**5 + 1\/4*a**4 + 0 + 11*a - 2\/3*a**3. Let w be j(15). Round w to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(f + 13 + 6 - 20).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6489*b + 10*b**3 - 13638*b + 7149*b.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7 = -h, -j - 34 = 5*h - 25. Which is the biggest value? (a) -293 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 - 7 - -9) - (-2 - 25).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o**2 - 6*o + 4*o**2)*(2*o**2 - o**2 + 0*o**2).\nAnswer: 3*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -b - 2*b - 4*n, 2*b - 4*n = 84. Calculate the lowest common multiple of b and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:41 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 - -209. Is q a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 4*i**3 + 3*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence offf when four letters picked without replacement from oofojffjjjff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 276 + -273. Suppose j*i = -8*i. Solve 4*h - 20 = -i*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 + 687*i**2 + 690*i = 0.\nAnswer: -1, 0, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -213356015 greater than -213356014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17950163 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:00 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -35\/2. Let g(f) be the second derivative of 0*f**3 + y*f**2 + 0*f**4 + f + 0 - 3\/20*f**5. What is the first derivative of g(h) wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3963*u**2 + 6*u**3 - 12174*u**2 + 4248*u**2 + 3963*u**2.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5\/6, 5, -33, -0.5 in descending order.\nAnswer: 5, -0.5, -5\/6, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + -1*sqrt(304) + sqrt(19)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*t + 14 = -t, 0 = 2*m + 2*t + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -472*h**2*v**3 + h**2*v + 11*h**2 + h*v**3 + 135*h*v + 4*v**2 + 32*v wrt h?\nAnswer: -944*v**3 + 2*v + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -228077622.\nAnswer: 5\/228077622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42231.84mg to tonnes.\nAnswer: 0.00004223184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14549742.1 rounded to the nearest one hundred thousand?\nAnswer: 14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156733273.\nAnswer: 23, 229, 219619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuuuttuttuutut. Give prob of sequence uttu.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 171 + 27 = -t, -k + 5*t + 34 = 0. Calculate the remainder when 113 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*l - 39*l - 1400602 = 25*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/38 - 1 - 582\/(-114). Suppose 3*f - 2*t = 17, 5*f + s*t - 11 = 4*t. Solve -b - 10 = -f*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 4*f**2 + 3*f**2 + (-3 + 0 + 1)*(f**2 + 0*f + 0*f) - 6*f**2 - 5*f**2 + 5*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 12*f - 4. Let j be d(10). Let a be j*(-1 + (-3)\/2). Let p be a\/(-9)*325*-36. Round p to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b, -2*b = -4*h + 2*b - 32. Let d be (-24)\/h - (-2)\/2. Sort 0, -15, d in descending order.\nAnswer: d, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94.05 - -52. Let h = y - -41. Let v = h - -1.0543. Round v to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 134\/7 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + c + 12 - 1 - 10*c + 1.\nAnswer: -9*c + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/12)\/((-11)\/1320 - 0). Calculate the greatest common divisor of m and 1720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38371 + -15346. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.2 - 0.8. Let c = -18 - r. Is c >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001197 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f - 45 = 0. Solve 3*m = -0*m - f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1300)) - (0 + 1 + sqrt(1300)))**2.\nAnswer: -160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -258, -295, -352, -429, -526, -643?\n\"Answer: -10*i**2 - 7*i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42407046.\nAnswer: 2, 3, 11, 214177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from hcjhjcchhh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w + 37. Determine t(3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 46 = -57 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 10) + (-27 - -33 - -31).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**8\/4200 + v**7\/1050 + v**6\/900 - v**3 - 4. Let m(o) be the third derivative of w(o). Find g such that m(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153123087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose -6*d + 393 - 39 = 0. Let h = 64 - d. Solve 0 = h*s + l - 13, -2*l - 13 = -m*s - 5*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/14 - -8 - 4\/14. Let d(v) = -v**2 - v - 6. Let x(m) = -2*m**2 - 3*m - 12. Let l(o) = -9*d(o) + 4*x(o). What is l(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01168 - 4.82632. Let b = 0.162 - d. Let l = -0.34 + -0.06. What is the third biggest value in b, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**49*(u\/(u\/(u\/(u*u**(-4)))))\/(u**4*u*u) assuming u is positive.\nAnswer: u**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*c + 644 - 1343 = -457*c - 9971 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2460417*o**5 - 158611*o**2 + 3 wrt o.\nAnswer: 147625020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 9\/5 (b) 1\/5 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from ttrretrzorrtrztzrer.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -215442533 (base 6) to base 2\nAnswer: -1110111010011011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002374812 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 1. Let h(b) = 4*b + 1. Let c be ((-3)\/(-3))\/(6\/84). Let i be 3\/21 + 40\/c. Suppose -5 = i*j - 23. Calculate j*a(o) - 5*h(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1302 and 88764718?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.217*-1647.9.\nAnswer: 357.5943","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {s: 2, n: 3, c: 4, e: 1, y: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3482 + -3478. Sort 0.08, 2\/3, 2\/47, -2, h in decreasing order.\nAnswer: h, 2\/3, 0.08, 2\/47, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -28*z**2 - 9. Let r(t) = 57*t**2 + 18. Let c(l) = -5*p(l) - 2*r(l). Let h(b) = 13*b**2 + 29 + 26 + 27 + 36 - 114. Give 4*c(x) - 9*h(x).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -22*o**2 - 4*o + 11. Give i(-5).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**2*z**2 + s**2 - 131861*s*z + 27*z**2 + 5*z + 13174 with respect to s.\nAnswer: -8*s*z**2 + 2*s - 131861*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*f = 22, o + 3*f + 8 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 141*r**2 - 1 + 1453*r - 1451*r - 4 to the form m*r**2 + k + j*r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 - 11?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03049867 rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 6:26 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 - (-100 + 90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.51434 * 0.5.\nAnswer: -8.75717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032137 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 11) in base 14?\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216283891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p**4\/7 + 544532*p**3\/7 + 11850892*p**2\/7 + 1206532*p - 408660 = 0. What is p?\nAnswer: -21, -1, 1\/4, 34055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2072*x**2. Let q(k) = 25*k**2. What is q(u(f))?\nAnswer: 107329600*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1099 or -1?\nAnswer: -3\/1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10266692.\nAnswer: 2, 2566673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/15*700\/(-60). What is the highest common divisor of y and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 19. Let z be -2 + 2*(30\/4 - 2). Suppose -i = 5, 0 = -g - 5*i - 0*i - z. Calculate the remainder when q is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 12) to base 13.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/2 - s**4\/6 - s**3\/3 - 7*s**2\/2 + 11*s. Find the second derivative of a(m) wrt m.\nAnswer: -60*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**10\/1008 + l**6\/90 + l**3\/3 - 4*l. Let k(w) be the second derivative of c(w). What is the third derivative of k(t) wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**6*j**(-6) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 plus 747943883532?\nAnswer: 747943883529.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264418 is divided by 16451?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 14. Let s be (8\/14)\/(o\/63). Solve -2*w + s = 5*f, -4 = -2*w + f - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239 + 370. Let s = -88 + a. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2689048 is divided by 9638.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7528 not equal to 7551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24451947?\nAnswer: 3, 13, 208991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 27*f + 425 - 1946 = -5*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2068, -2083, -2132, -2233, -2404, -2663, -3028, -3517?\nAnswer: -4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4510\/66)\/(24\/(-432)*30)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.801207 to three decimal places.\nAnswer: -0.801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 0*d + 0*d**3 + 5\/2*d**2 + 3\/2*d**4 - 5. What is the second derivative of j(y) wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 5. Suppose r*o - 6 - 19 = 0. Suppose o*a - 25 = 10. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 13*l + 5*l. Solve -3*z - 6 = l, 18*k - 15*k - 15 = 3*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*l + 2*l - 19 = 0, 5 = -h + 5*l. Find the third derivative of -18*u**6 - 171*u**h + 171*u**5 + 40*u**2 wrt u.\nAnswer: -2160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 27*t**3 - 2*t**2 - 25*t - 66. Let l be k(-5). Is l != -3366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/60 + z**4\/8 + z**3\/2 + 2*z**2. Let k(i) be the first derivative of b(i). What is the derivative of k(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7517 - 7513. Are 3\/2 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 184\/9 - (4 + (-224)\/63). Solve -i = -5*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31186806 divided by -42.\nAnswer: -742543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/50)\/((-39)\/845).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x. Let f(l) be the first derivative of -l**2\/2 - 3*l - 5. Let m be f(2). Calculate the remainder when 33 is divided by t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813900 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 272 + -171?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16968387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2137, -1\/7, -2\/7 in increasing order.\nAnswer: -2\/7, -1\/7, 1\/2137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let d(q) = -5 - 1 + 4*q + 4 + 4. Let u(f) = -d(f) - 2*l(f). Let j(g) = -g**2 - 18*g. Calculate -2*j(t) + 18*u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**2 - 16*r**3 - 2 + 53*r - 53*r to the form v*r**3 + z*r**2 + o + n*r and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(7\/8)\/(m\/m**(-9)) assuming m is positive.\nAnswer: m**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 - 5. Let u be 3\/(-1) - (-1 + -6). Are k and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c**4 + 14*c**5 + 130*c**3 - 2205*c - 38*c**5 + 19*c**5 - 48*c**4 + 840*c**2 = 0. Calculate c.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*o**3 + 57*o**3 + 53*o**3 + (1 - 1 - 4)*(2*o**3 + 3 - 3) + 3*o**3 - 2*o**3 + 0*o**3 as h*o**2 + c*o + m + r*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7048201 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u + u**4 + 11*u + 2*u + 6*u + 4*u**2 to j*u**4 + d*u**3 + t*u + y + f*u**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 + 304 - 304.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**37\/(c**(2\/13)*c*c*c**8\/c))\/((c**(-1)*c)**(-8))**(-48) assuming c is positive.\nAnswer: c**(-1081\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3052 - 0.0278. Let f = n + 0.16. Let v = f + 0.17592. Round v to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (5 - 0) + 1. What is the first derivative of z*t**4 - 3*t**4 + t**4 + 3 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - 3, 0 = 2*m + 2*g + 2. Let s be (-36)\/378 - 332\/42. Let d be -1*(-2)\/s*(5 + -9). Sort 10, m, d, 2 in increasing order.\nAnswer: m, d, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21.46402 grams?\nAnswer: 21464020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 35, -5*z + z - 5*v = -997. Solve z*b = 239*b - 114 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1693, -6717, -15087, -26803, -41865, -60273, -82027?\nAnswer: -107127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 38, 56, 74, 92, 110?\n\"Answer: 18*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122444829 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 818440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -152214 * 6\nAnswer: -913284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-22)*w*w)*w**2 assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p - 30. Calculate i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) + 1)*-3 - 5*(sqrt(2736) + sqrt(2736) + (sqrt(2736) - (2 + sqrt(2736)) - sqrt(2736)))) + 3 + 2)**2*2.\nAnswer: -4608*sqrt(19) + 350496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - 4*g**2 + 5*g - 4. Let w be j(4). Suppose -80 - w = -4*d. Suppose 3*t - 69 = -4*y + d, 50 = 2*y + 4*t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b29 - 1406?\nAnswer: 5723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 12. Let y = 6 - 4. Suppose 5*q = -5*g + b, -4*g + 24 = 5*q - y*q. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*q - 20, 1 = 5*p + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*m + 10, -4*m + 25 = 2*n + 3*n. Let q be (5\/(-4) - m)*(-4 - 0). Suppose -2*k + q*k = 60. Solve -4 = g - l, -5*g = -g + 5*l - k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.8 + -8.1. Let w = 5.1 - 1.1. What is the closest to b in 1, -5, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 29658*y. Let d(o) = 5*o**2. Determine u(d(z)).\nAnswer: 148290*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = p + 3*d + 26, -3*p = 4*d - 141. Suppose -3*g - p*k + 13 = -53*k, -4*k + 14 = 2*g. Calculate the lowest common multiple of g and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + ((sqrt(187) + sqrt(187)*1)\/sqrt(11) - sqrt(17))*-5*-4)**2.\nAnswer: -40*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*q**4 - 282*l*q**2 - 24*l*q - 5*l - q**3 wrt q?\nAnswer: -24*l*q**2 - 564*l - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and 5388.77.\nAnswer: 5395.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 4)*(5 - 4 - 2)*(-19*a**2 + 11*a**2 + 10*a**2) to x*a**2 + g + s*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*(-6 + (-390)\/(-66)). Is 0.1418 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -864.95 + 921. Let i = g - 56. Which is the second biggest value? (a) i (b) 0.3 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 6:57 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*h - 7. Suppose -3*m - 494 = -2*k, 4*k - h*m = 163 + 825. What are the prime factors of k?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.079 + 0.059. Let z = 0.02 + d. Let y = z + 1.08. Which is bigger: 1\/4 or y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31456*n*o**4 - 4*n*o + 2*n + 24*o - 2 wrt o.\nAnswer: 377472*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8) + 4 - (-44 + 63 + -22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:54 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:03 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*a + 215. Suppose 4*x = 5*v, 5*v = -3*x - 11 + a. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnyynnyznzhn. Give prob of picking 2 n and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/15*(-6)\/(-2). Let x(g) = -f - 8*g + 19*g**3 - 18*g**3 - 4*g - 4*g**2 + 5*g. What are the prime factors of x(6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 546516.\nAnswer: 1639548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 50 = -2*g, 5*h + 24 = g + 74. Let f = -5 + h. What is the remainder when 13 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0891 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115089947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4698\/145)\/((-54)\/(-27)*(16\/(-20))\/(-4))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -23 - 1)*(-1302)\/(-84) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8 + 6 + 5*j + j**2 + 3 + 4. Let g be x(-4). Let v = g - 7\/8. What is the third smallest value in 0.2, v, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-805) - 9\/21?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) + 1)*6.\nAnswer: 6*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.370305kg?\nAnswer: 2370305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(95) + sqrt(95))*-2)\/(sqrt(40)\/sqrt(32) + sqrt(45)*5).\nAnswer: 32*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*v**3 - 32*b**2*v**2 + 239*b**2*v - 2404*b**2 + 2*b*v**3 - 5583113*v**3 wrt v?\nAnswer: -6*b**2 + 12*b - 33498678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5980 is divided by 5803.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 7*c**2 + 8*c - 7. Determine m(7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(-5*sqrt(1100)*-2 + sqrt(1100)) - (sqrt(220)\/sqrt(100))\/(sqrt(320)*-2)).\nAnswer: -26401*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2061 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t*t*t**(-6)*t)*t))**50 assuming t is positive.\nAnswer: t**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 845, 848?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iidgidixiddki. What is prob of picking 1 x and 1 d?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2. Suppose -f - 3*v + 22 = -0*v, 5*f = 4*v + 15. Let h(y) = -61*y + f*y**2 + 61*y. What is g(h(w))?\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - -3)*(-6)\/(-4). Let o = -13 + p. Solve -o*i + 3*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/52 - 336\/(-520))*300. Let n = 751 - i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**4 - 4496*t**3 - 276190*t**2 - 1806556*t - 678720 = 0 for t.\nAnswer: -48, -7, -2\/5, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*q + 11861 = 82*q + 3045 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -2059\nAnswer: -13\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-54)\/4950*5.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -944 >= -1090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -413*m**3 - 11*m**2 + 9*m + 1. Calculate l(1).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*l = 0. Suppose -g = l, 23 = -f + 2*f - g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.1025 to 1 decimal place.\nAnswer: 33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 301*k + 1492. What is s(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11095775393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -647, -1311, -1979, -2651, -3327, -4007?\n\"Answer: -2*f**2 - 658*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9902*x**2. Let g(h) = -4*h**2. Calculate g(k(l)).\nAnswer: -392198416*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 7:25 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:13 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -513\/19004 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5451\/(-1106))\/(-69))\/(8\/(-2)).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1996*d + 903*d + 48092 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + -13.98. Let o = -14.2 - c. Sort 0, 0.3, o in descending order.\nAnswer: 0.3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11044 + 13?\nAnswer: -11031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by 23\nAnswer: -67\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*j + 86 = 0, -5*z - 2*j = -102 + 121 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.2 + 56.9. Let q = 22.9 - 3.9. Let o = q - h. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 156*j - 3042.\nAnswer: -2*(j - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -97 + 96 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*t - 26 + 33 = 0, 0 = -5*t - 15. Put 2, -6, d, -1 in decreasing order.\nAnswer: d, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19953 is divided by 6637.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3281157 is divided by 740?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 48 - 209. Suppose -174 = -2*m - 3*j + 183, m - n = -5*j. Suppose -7*c - m = -10*c. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - -3. Suppose 3*z - u - 14 = w, -2*w - 26 = -2*z. Solve -6*m = -3*m - z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10121946787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:10 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/5 of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 232.1 - 232. What is the smallest value in -39, s, -2\/7?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 4*r + 121. Let n(h) = -h**3 + 7*h**2 + 13*h - 354. Let v(g) = -7*a(g) - 2*n(g). What is the derivative of v(p) wrt p?\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2. Let n(h) = 971*h**2. What is p(n(r))?\nAnswer: -3771364*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:17 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5532324 to the power of 1\/2, to the nearest integer?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 143 = 97. Let l = g + 6. Suppose 2*i - l = -r + 45, -2*i - 83 = -r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(144))\/sqrt(8) + sqrt(126)\/sqrt(7)*-5)\/(2*sqrt(384)*-6 + sqrt(384) + 6*(sqrt(384) - -2*sqrt(384)) + sqrt(384)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 + 6*s + 5. Let d be j(-6). Suppose d*y + 0*y - 5 = 0. Put 2, y, 3 in ascending order.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 6*k = -119500. Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q\/q**(3\/5)))\/q))\/((q*q**(-8)\/q*q)\/q*q))**(-12)\/((q**(-3\/4)*q*q)**(-25))**(3\/17) assuming q is positive.\nAnswer: q**(-32397\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 436 = -2*f, 2*f + 454 = 4*f + 2*i. Suppose -14200000 = 219*p - f*p. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*f**5 + f**3 + f + 424 wrt f?\nAnswer: 3500*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3478319\/360 - -9662. Calculate the common denominator of k and -83\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 8 - 1 + 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 11*s**2 + 33*s - 11. Let t be n(6). Solve -t*j = 3*j - 40 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.93 + 23. Let z = q - 0.04. What is z rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = h, -h - 13*g = -8*g - 5. Put 3, -121, -2, h in ascending order.\nAnswer: -121, -2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103*f = -1083*f + 2149*f + 481 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430 = -23*b - 71*b + 380*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Let u be m(-3). Suppose u*k - 5*k - 3*j = -63, 3*k - j = 47. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j*j*j**(2\/7)*j*j)\/j))**(4\/11)*(j**(1\/2))**32)**(-1\/22) assuming j is positive.\nAnswer: j**(-598\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7711 = 618*c - 629*c. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(-7 + (-64)\/(-10)). Let t be (1 + 46\/g)\/(20\/25530). Round t to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*g - 4*g = 10, g = -t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13))*-4 + sqrt(91)\/(sqrt(7)*1) + 2.\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/6967 - -13732\/703667. Let s be ((-9)\/(-6))\/((-63)\/(-84)). Suppose 4*z = -12, s*f - 6 = 5*f + 3*z. Which is greater: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (39\/(-52))\/(2\/(-8)). What is the tens digit of (2\/x)\/(4\/96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -d?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4435 + 1090 = 323*f - 7395 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 4 (c) -4 (d) -13 (e) -9\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840 and 19?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*d + 1798*d**2 - 152*d.\nAnswer: 1798*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -28d4?\nAnswer: -28d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137604699 or 137604700?\nAnswer: 137604699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -37046?\nAnswer: 50\/18523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259694 and 2624.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*1\/((-2)\/(4\/6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*f - 69 + 78, f = 3*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -632 divided by -158.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171567512 to the nearest integer?\nAnswer: 13098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/10 - 12*b**2. Let r(p) = 2*p**2. Determine r(q(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 306?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:26 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 4*w - 2*w**2 - 2\/3*w**3 + 0. Let n be r(-11). What is the greatest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 5.1823\nAnswer: -5.0823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*i - 541, 4*u = -3*i + 489 + 247. What is the highest common divisor of u and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*m - 23. Suppose -m*t = -9 + 3. What is the tens digit of t*(-1)\/3 + (-2400)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 605318068*v**2 + 559311871.\nAnswer: 1210636136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -5 (c) -6\/13 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1106, -4420, -9942, -17672, -27610, -39756?\nAnswer: -54110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjkjjjjjj. What is prob of picking 4 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:16 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 661 + -661. Let d(a) be the second derivative of a**6\/120 - a**5\/60 + 5*a**3\/6 - a**2\/2 + a. Let z(b) be the first derivative of d(b). What is z(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 34. Let i = -66 - -71. What is the highest common divisor of i and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.773, -50, 0.06, 0.09 in descending order.\nAnswer: 0.09, 0.06, -0.773, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 625 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*y + 8*o - 2461, 3*y - 3700 = 4*o. List the prime factors of y.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*l - 34*l - 65*l + 2*l**2 - 69*l as z + i*l**2 + t*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43358, 43352, 43346?\nAnswer: 43340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78689\/42 + -11243\/6. Let w(d) = -d**2 + 3*d - 1. Let l be w(3). What is the fourth smallest value in g, -4, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22189, 22187, 22185, 22183?\n\"Answer: -2*y + 22191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42 - 0.4208. Let p = 2.1708 + d. What is p rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11380 and 22760?\nAnswer: 22760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 4\nAnswer: -139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 578 and 578 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/(-30)*(-7 + -2). What is the highest common divisor of i and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -k + 22, -26 = -2*a - 3*k - 8. Suppose 0*u - a = -2*u. Suppose -3*z + 6 + u = 0. Solve 3*b + z*n = -10, 2*b + 2*n + 0*n + 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {k: 1, n: 3, i: 2, b: 3, h: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 4*q + 7. Let a = 164 - 146. What is the remainder when o(5) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 0 (c) 7.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) -5 (c) 0 (d) -0.011 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 93 = 19*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/66*6*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70\/9 - 1208\/153. Let j(a) = -101*a**2 + 2*a - a + 4 + 100*a**2. Let c be j(0). Sort d, 0, c in increasing order.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527862, 527498, 527134, 526770, 526406, 526042?\nAnswer: 525678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-36) - 1\/4. Suppose 3*b + 111006 = -3*k, w = 4*b - 4*k + 88378 + 59614. What is b rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*t**3 - 1114*t**2 + t wrt t?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.573 + 13.673. Is x > -7623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13530 divided by 66\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6451, -6339, -6215, -6073, -5907, -5711?\nAnswer: -5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2. Let z(h) = 293*h**2 - 92*h**2 - 214*h**2. Let b = 9 - 14. Calculate b*s(v) + z(v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpbvpbbpp. Give prob of picking 4 p.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 5, 8, -1165.\nAnswer: -1165, -6, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*g - 25, -3*u - 26*g = -24*g + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5 - 2385*z**4 - 6349093*z**3 - 3067344911*z**2 - 6115652088*z - 3054653884 = 0.\nAnswer: -862, -1, 4111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -4, 0, -3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752 = -74*p - 1149 - 1305 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47680393, 47680379, 47680377, 47680393, 47680433, 47680503, 47680609?\n\"Answer: z**3 - 21*z + 47680413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5. Let p be g\/(-3 + (-6)\/(-3)). What is the remainder when 14 + p + (1 - 2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 13*s + 64 = 0. Let p be 5 - (s + (6 - -3)). Suppose p - 1\/5*n**2 - 1\/5*n + 1\/5*n**4 + 1\/5*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-286987 + 286987 - 202*m)*(0*m - 3*m - 3*m)*(4*m + 0*m - 5*m)*(-4*m + 2*m + 4*m).\nAnswer: -2424*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 24*o - 29*o = 1363, -z = 4*o + 445. Let y = 648 + z. Suppose 5*u = 4*b + 11 + 78, -u - 5*b = -12. What is the highest common divisor of y and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2. Let z(y) = -63237*y - 3. What is z(u(j))?\nAnswer: 189711*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 131*r + 1781. Let x be v(77). Solve -2*m - 4*q = 14, 0 = -m + q + x - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -108 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*k - 990 - 326 = 21*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 33 - 113. Let w = m + -8. Let p(r) = -4 - 4*r - 4 + 3. Let k(q) = -6*q - 8. Determine w*p(f) - 5*k(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 11. Let f(u) = 2*u + 6. Let w be f(k). What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/22 and -103\/376?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7260785 and 1190.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 199*k**5\/5 - k**4 - 359*k**2\/2 + 1982. Find the second derivative of u(m) wrt m.\nAnswer: 2388*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7374300 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 350222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*k + 76*k - 360 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33 - 49*h**2 - 23 - 73*h**6 + 56 wrt h?\nAnswer: -8760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/5 - 62*f**2\/5 - 12*f = 0.\nAnswer: -5, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 481\/30*y**3 + 0 - 47*y + 1\/210*y**7 + 23\/150*y**6 - 43\/6*y**4 + 47\/50*y**5 - 169\/10*y**2. Solve q(x) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 6*r - 1. Let j be k(-5). Suppose s - 6*s = -15. Suppose 2*f + 3*f - 5*w - 15 = 0, 0 = -f + j*w - s. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8 = u - 0*k - 60, -40*k - 78 = -43*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65039 and 0.2.\nAnswer: 13007.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74017.74524 - -73589.7452661. Let j = -74 - -502. Let f = j + l. What is f rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1080) - sqrt(1080) - sqrt(1080) - sqrt(1080))\/(3*sqrt(6)*1).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:10 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 o, and 1 p when four letters picked without replacement from {j: 3, v: 7, y: 2, u: 2, o: 1, p: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*x + x. Let u = 10 + x. Let d = -13 - -29. Calculate the highest common divisor of u and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2358027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177638 or -177637?\nAnswer: -177638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.058, 21.26, 8?\nAnswer: 21.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 13\nAnswer: -50\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from ooxgxxoxgxpxxppxo.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 12751 = -12637 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1133*s - 10192. Give o(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhabyhhaaaaayaaah. What is prob of sequence ky?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/30 and -161\/55406130.\nAnswer: 55406130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 - 4*p**3\/3 + 4*p**2 - 6*p + 75. What is the tens digit of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 410833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*v - 1318*v - 638*v - 60*v - 95*v + 107*v.\nAnswer: -2233*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26481\/(-873))\/(8 - 543\/63)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 94*v\/5 + 528\/5.\nAnswer: (v - 88)*(v - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187523843.\nAnswer: 13, 47, 306913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 270 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiiidid. Give prob of sequence iiu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78141445, -78141442, -78141439, -78141436, -78141433?\nAnswer: -78141430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 8) to base 3.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 133, 1, 4, 3, -1\/9, 18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -1354\/13. Let l = 5.193 + 0.107. Let u = -5 + l. Sort z, -4\/5, u.\nAnswer: -4\/5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 0.66 (c) 2\/3 (d) -416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -432 (b) 2\/5 (c) -1\/5 (d) 2\/11 (e) 3 (f) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*k + 18239, -2 = 3*c - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5370500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 12*u - 6. Suppose 2*j = 5*l - 72, 0 = 5*l + 2*j - 87 + 19. What is the tens digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2058, 6244, 13244, 23076, 35758, 51308?\nAnswer: 69744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 1\/140*k**5 + 3\/7*k**2 - 1\/21*k**4 - 4 - 14*k + 1\/42*k**3. Factor a(l).\nAnswer: (l - 3)*(l - 2)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1092? (a) -5 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 898*o - 23*o + 30077 - 2077 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 + 2*s. Let c be l(-5). Let m be ((-42)\/c)\/(1\/35). Calculate the highest common divisor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 1100?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237336 is divided by 2414.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (115436\/30324)\/1 - (-10)\/(-15). Let t = b + 1\/361. Let h = -15581\/6 - -2587. Calculate the common denominator of t and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277860 is divided by 1349?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276994 = -2335*f + 59839 for f.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-1 - 4))*-1. Suppose i + 6*i = -i. What is the closest to 0 in w, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/12 - 4*o**3\/3 - 3*o**2 + 7*o. Let y = -3 + 12. Let f be v(y). Solve -3*t = z - 2*z - 4, t - f = 2*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 - 413*t + 459. What is v(40)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g + 17*g - 308 = 48*g. Let y = -1.7 + 1.77. Let u = 0.03 + y. Which is the second biggest value? (a) 6\/5 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) 2\/11 (c) -1\/2 (d) -0.38 (e) -3 (f) -0.086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u. Let m(a) = -3*a + 5*a - a. Let p(h) = h + 2. Let n be p(-10). Let y(q) = 3*q. Let t(r) = n*m(r) + 3*y(r). Calculate t(l(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {e: 12, h: 5, p: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -99. Suppose -a*s + 8465 = s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*y = -2*m + 40, 60 = 4*m - 3*y. Suppose -6*n + 217 = -287. What is the highest common factor of n and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w**3 + 299*w**2 + 48*w - 193. Calculate v(-27).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -237.732 - 0?\nAnswer: -237.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-235)\/(-10)*(-156)\/286?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 263\/5. Put -3\/4, -2, b, 5 in descending order.\nAnswer: 5, b, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.91381 litres to millilitres.\nAnswer: 84913.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) + sqrt(68)*-1)) + sqrt(68))*-2)\/(sqrt(24)\/(sqrt(6) + sqrt(18)\/sqrt(3))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325372301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1f (base 16) to base 7\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 27. Suppose -7*w + 710 = 94. Calculate the highest common divisor of w and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 3*d - 3*b = -27, -4 = -b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*y + 6*y - 3, 8 = -4*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = 0. Let f be -1*3\/3*k. Suppose f = 2*v - 64 - 54. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -25. Suppose -3 = -2*v + 1, -42 = 2*j + 4*v. Let k = x - j. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -660, -967, -1256, -1521, -1756?\nAnswer: -1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*y + 204 - 72, -4*t - y = -105. What is the remainder when 1247 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 68058.67 micrometers?\nAnswer: 68.05867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-36)\/j**(-1)*(j\/(j\/(j**23\/j*j*j)))**(6\/29) assuming j is positive.\nAnswer: j**(-871\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.143*-52.6.\nAnswer: 112.7218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 2, -551, 3 in descending order.\nAnswer: 3, 2, 0.01, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3297492*p**3 + 1090262*p**2 - 2*p + 1.\nAnswer: -19784952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*j + 311*j - 188 = 0. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 42*x**2 + 2*x - 30. Let z be t(21). Solve -h - 2*h = z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x. Let o(s) be the second derivative of -2*s**3\/3 + s + 385. Calculate b(o(t)).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.26 and -3086511.96?\nAnswer: 3086513.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 l when four letters picked without replacement from {g: 4, d: 8, l: 8}.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose -2*b + 9 + 1 = u. Suppose 2*j + b*d = -2*j + 49, -4*j - d = -45. Calculate the greatest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**2 + 1. Let v(u) be the second derivative of -u**4\/6 - 265*u. What is r(v(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.0418 + 3.3418. Which is the second smallest value? (a) r (b) -50 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + -5 + 1\/(-1). Suppose -d + i*d + 29 = 0. What is d rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.073*0.2.\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4245 to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-12))\/((10\/6)\/5). Solve 3*k = 8 + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 13) to base 11\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -837? (a) 2 (b) -5 (c) 3\/4 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 2, l: 6, g: 1, n: 1, s: 1}. What is prob of sequence ngs?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/219089 (b) 0.01 (c) 2\/333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5 + 2940*q**4 + 37640*q**3 + 152730*q**2 + 204275*q + 86250 = 0. What is q?\nAnswer: -575, -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 814 - 171. Let l = s - -44. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -201 (b) 152.099 (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:28 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:02 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27545 + 23061 = 76*v for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -59180, -118360, -177540, -236720, -295900, -355080?\n\"Answer: -59180*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 8 + 8)*(-4*o - 48*o - 18*o).\nAnswer: -630*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 24227067?\nAnswer: 24227060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 1 e when three letters picked without replacement from {e: 4, m: 1, u: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 1 - 3*j**2 - 5 + 6*j + 5*j**3 + 3. Let c be u(2). What is the highest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-7) - 1353\/21. Let t be i\/(-4) + -3 + -1. What is the highest common divisor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -682*x**2 - 8*x + 351. Let t(i) = -2046*i**2 - 28*i + 1055. Let k(o) = 7*p(o) - 2*t(o). Find the first derivative of k(z) wrt z.\nAnswer: -1364*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 5*v + 7. Suppose -i = 2*i + 12. Let w be u(i). Let g = -505\/3 - -167. Which is the second smallest value? (a) g (b) 3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 24. Suppose 0 = w - 8 + 4. Suppose -c = 2 - w. What is the lowest common multiple of c and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v + 4*p = -87*v - 14, 2*v = 2*p - 8 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -48. Factor 3*s**2 + t*s**2 + 5 - 10*s - 12 - 8.\nAnswer: 5*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067040 < 2067043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1104 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1002.5.\nAnswer: -997.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(24\/11)\/z)*z\/(z\/(z\/(z**(-6)\/z))) assuming z is positive.\nAnswer: z**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 5*t**2 - 8*t - 12. Let m be v(-6). Calculate the lowest common multiple of 16 and ((-852)\/(-33) - m) + (-10)\/(-55).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1969, 6, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22442 + 157112\/7. Factor l - 15\/7*p - 3\/7*p**2.\nAnswer: -3*(p - 1)*(p + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/145*(-820)\/184992. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, -4, -0.5, -390, -1\/3, 0.019?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 18320?\nAnswer: 18320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, -44, -100, -178, -278, -400?\n\"Answer: -11*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*h + 2, 0 = 3*h - 73*v + 72*v - 4. Factor -6*c**2 + 10\/3*c**h - 2\/3*c**4 - 4\/3 + 14\/3*c.\nAnswer: -2*(c - 2)*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*44\/2*(-257)\/(-2827).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460*s - 455*s - 42935 = 0. Is s a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-180)*-1*(-9 + 10)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9127*s - 127778. Determine m(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12.00000034. What is n rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 300854 - 650721 = 0. List the prime factors of f.\nAnswer: 17, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5184 and 2405808.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/14 and -101\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**3 + 5*i**2 - 5*i - 5. Let a(p) = -p**3 - p**2 + p + 1. Suppose 4*c + 2*r + 20 = 0, 5*c + 2*r = 3*c - 10. Give c*a(y) - f(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 + 0*j + 3*j - 4*j. Let t be l(1). Let s = 4 - t. What is the nearest to -1 in -4, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -5, -1, -5, -23, -61, -125?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 5*r**2 + 23*r - 393. Determine f(9).\nAnswer: 3135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*s = 25, 2*g - 4*s = -3*g + 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + 22\/3*9\/(-60).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6702 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 8*h + 10. Let s = 2 + -1. Calculate the remainder when o(9) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36ba9 (base 15) in base 12?\nAnswer: -85173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1675, -3215, -4623, -5899, -7043, -8055, -8935?\nAnswer: -9683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20561 and 5191?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 243166666 a multiple of 554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f + 122. Let u(d) = -d**2. Determine v(u(g)).\nAnswer: 8*g**2 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -47, -92, -137?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*a = 14, 3*f + 661 = a + 714 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077*g + 1130*g - 3327*g + 1122*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/((-30)\/(-40)). Find i such that -9*i**3 + 13*i**2 - 15*i**3 - 32*i**2 - 3*i**4 - 29*i**o = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 18*h**4 - 72*h**3 + 162*h**2 + 2\/15*h**6 + 0 - 35*h - 12\/5*h**5. Factor g(z).\nAnswer: 4*(z - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -0.050741.\nAnswer: 5.949259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 + 9*v - 66)*(-3*v**3 + 2*v**3 - v**3).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 4*d + 4*p - 24 = 0, 2*d + 4813 = 3*p + 4802 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111011101000101111011 (base 2) to base 7\nAnswer: 22416202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/(-8)*3\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31127615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-34) + 4096\/(-10880).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23284997 - 23284996.89399949. Let u = -0.9 - -1.006. Let y = u - q. What is y rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-198) + 18\/11 + -1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 2*y + 16, q + 459 - 447 = -2*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(204 - 1)*(-7 - -14). Suppose 19*p = -30*p + h. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*l + 98. Suppose -g + 84 = l*g. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + -4*(2 + sqrt(405)) + -2*sqrt(405)*-1)**2 + 0.\nAnswer: 144*sqrt(5) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164824490, 329648982, 494473474, 659297966, 824122458?\nAnswer: 988946950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/4 + 189*y**3\/2 - 12279*y**2\/4 + 5859*y - 2883 = 0.\nAnswer: 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369 - 369.3. Let f = 0.22 + -0.66. Let d = 0.04 + f. Sort v, d, -0.5 in increasing order.\nAnswer: -0.5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21344575 to the power of 1\/2, to the nearest integer?\nAnswer: 4620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 2*o**2 + 1. Let c(r) = 16*r**3 - 9*r**2 + r + 5. Let t(a) = 2*c(a) - 11*u(a). Let x be t(5). Let s = -14 - x. Solve -2 = -s*f + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116380787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 189 and 0.321.\nAnswer: 60.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 718, 1230, 1734, 2230?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.08, -0.2, -1922.6, -3 in ascending order.\nAnswer: -1922.6, -3, -1\/3, -0.2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 997124 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or 3369\/127?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 4*a - 2. Suppose 4*r = 3*r + 2*d + 1, 6 = 2*r - 5*d. Let i(p) = -p**3 - 7*p**2 - p - 3. Let c be i(r). Give m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16546 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: What is the third root of 39211 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*v**2 - 171*v - 14*v**2 + 171*v - 24*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = -8. Suppose 2*x - 4 = c. Let v be (-5)\/x + 1\/3. Sort v, 3, 0.1 in increasing order.\nAnswer: v, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 3, f: 8}. What is prob of sequence fsf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -79. Let j(h) = h**3 + h**2 - h - 1. Let s(g) = -3*g**3 - 2*g**2 + 2*g + 2. Give i*s(t) + 2*j(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9576 = -10*f + 81854. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*v + 80*v - 5*a + 10 - 36, 2*a = -79*v + 150 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6166589, 6166588, 6166587, 6166586?\nAnswer: 6166585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 545 divided by 545\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from wkwwkkkkkkkkkw.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4 - 92*n**3\/3 - 44*n**2 - 665. Factor i(c).\nAnswer: -4*c*(c + 1)*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 15 = f, -6*f + 2*f + 8 = -k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025517.759 rounded to the nearest ten thousand?\nAnswer: 5030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -57. Suppose c*i + 10 = 5*o - i, 5*i + 26 = -o. What is the nearest to 0 in -1\/5, 2, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 1319*o - 992 + 1327*o - 5*o**2 - 2645*o as u*o**2 + q*o + z and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z*z**(-26)\/z)*z*z*z)\/(z\/z**(-18))*((z\/z**9)\/z)\/(z*z**16) assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490405158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015664 rounded to six decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*i**3 - 956012*i - 116037458.\nAnswer: -192*i**2 - 956012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1078 + 1090. Calculate the greatest common factor of 1296 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5350322 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11\/(a**(-1\/4)\/a))\/((a*((a*a\/a**11)\/a)\/a)\/a**(-2\/43)) assuming a is positive.\nAnswer: a**(3819\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/5 (b) -1\/2 (c) -8280 (d) 772.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+17.774\nAnswer: 17.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65, -73, -93, -131, -193, -285?\n\"Answer: -j**3 - j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -224? (a) 3456 (b) 1\/16 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -271.9705. What is d rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:12 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h\/((h*h**(2\/9))\/h))\/h)\/h*h)\/h**(-1\/2)*h**(-2\/17)*h**(4\/3)*((h\/(h*h**(-2\/13)))\/((h*(h\/(h**(-9)\/h))\/h*h)\/h))**(-1\/4) assuming h is positive.\nAnswer: h**(41411\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*h**2 + 276*h**2 - 160*h**2 + 5*h + 282*h**4 in the form y + l*h**2 + r*h**4 + s*h + z*h**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 784 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (94815\/59)\/1. Let j = -1607 + u. Let b = -65\/177 + j. Put 1\/7, 1, b in increasing order.\nAnswer: b, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -182072446, -182072447, -182072448?\n\"Answer: -z - 182072445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Suppose 209*c = 205*c - 16. Suppose -1 = -3*t - 7. Sort t, c, o in increasing order.\nAnswer: c, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/320*-16)\/((-2)\/(-180)*4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24240 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20111 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agg when three letters picked without replacement from gga.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**15*(u*u**(-1\/3))**(-47) assuming u is positive.\nAnswer: u**(-139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/56 - ((-114)\/(-14) + 344\/(-43))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 49*c**2 - 10*c - 39. Let h be a(5). Calculate the highest common factor of 71 and h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9) - (-1 + (0 - -2)). Suppose l + 0*l + 3 = 0. Let y = 1473 - 1472. What is the closest to b in y, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 20*z**2 - z + 25. Calculate the remainder when 87 is divided by m(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 1\/3*z**3 + 0 - 7\/24*z**4 + 0*z - 8*z**2. What is the derivative of y(b) wrt b?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 9 + 63. Let o(f) = -f**3 + 6*f**2 + 4*f - 6. Calculate the lowest common multiple of l and o(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-55 - -51)) + 1 + -1 + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:48 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 19*u = -2656. What are the prime factors of u?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -717 - -716.9. Which is the closest to 1\/5? (a) -15\/14 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -20*r. Let w be d(-2). Suppose -f + 16 - w = 0. Let o be (3\/4)\/((-1)\/f). Solve 2*a = 5*s - a + 21, -4*s + 3*a = o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:50 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79006*b + 105 + 1045 = -79005*b. What is the highest common divisor of 552 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 85 = 5*q, 6*q - 4*t - 86 = 3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -717\/2 - -356. What is the biggest value in y, 5, 0, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*f + 1420 = 0, 2*f = -2*o - 2*f + 592. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 944.\nAnswer: 10384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5731.233 months to millennia.\nAnswer: 0.47760275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p - 30. Let t be b(-3). Let d(c) = -c**3 + 4*c**2 - 3*c - 4. What is d(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6 and 287\/270 - 9\/((-1125)\/50).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.87 - 0.13. Let u = q - -12. Put -1\/4, 2\/5, u in increasing order.\nAnswer: -1\/4, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0\/w)\/w**(-7\/5))**23*(w*w**(-1))**(1\/78)\/(w**(-1\/4))**(-5\/6) assuming w is positive.\nAnswer: w**(3839\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*u = 70, 0*z - 37 = -2*z + u. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3536, -7078, -10614, -14144, -17668?\nAnswer: -21186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1102010200?\nAnswer: 1102010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b - 8 = 4*o - 24, 4 = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h + 4 - 3 - h**2 + 5. Suppose -349*z + 2224*z - 9375 = 0. What is c(z)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a - 371 = 2*i, -a + 5*i + 102 = 0. Let f = 326 - a. Suppose 4*g + c - 466 = -77, -2*g + f = 5*c. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 9. Suppose x = -y - 2, -s = y + 10. What is the closest to -0.1 in s, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(8 - -9) - (-4753)\/280?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -3\/5, -11 in increasing order.\nAnswer: -11, -3\/5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, 15, -1 in decreasing order.\nAnswer: 15, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -60. Calculate the greatest common factor of w and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 199*c**3 - 10*c**2 + 194*c**3 + 15*c**2.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5405227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 1761, 3891, 6811, 10485, 14877, 19951, 25671?\nAnswer: 32001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-10 - (-8 + (5 - 3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -2*i, 2*i = 4*s + 4 + 4. Let c be 1 + (0 - i) - -234. Suppose c = 3*l + 19. Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**9\/504 - q**6\/10 - 7*q**5\/60 - 2*q**2 + 2*q. What is the third derivative of z(l) wrt l?\nAnswer: 120*l**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-165))\/(7\/455)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35426*h + 2*j = -35431*h - 169, -5*h = j + 167 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174226 and -0.5?\nAnswer: -87113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2 - 6. Let k(j) = 3*j**i + j**2 - 2*j**2. Let r(v) = -3*v**2. Determine k(r(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -12*y + 352. Give c(37).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -16416406 in decreasing order.\nAnswer: 2, 0, -16416406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.377103 and 98.\nAnswer: -36.956094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*q = 2*q - 16, -5*q - 25 = -5*z. Solve 2*i = -5*v - 17, v + 0*v = z*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429985 is divided by 601.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/11 (b) -2\/7 (c) 872\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 2. Let c be v(8). Let d be (-804)\/(-45) - (-4)\/c. What is the greatest common factor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 22*o - 12. Let w(a) = -9*a + 5. Let m(n) = -5*k(n) - 12*w(n). Let u(f) = 4*f. Determine m(u(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 5. Let r be v(-5). Put -3, r, 1, -4 in descending order.\nAnswer: 1, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 15. Suppose -g + 10 = u, u - 4*g = -j*g + 2. Suppose -3*i + u = -5*w, 0*w = -w - 3*i + 6. Let r(b) = -b + 1. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 12*h - w = -5, -5*w = -5*h - 25. Solve -4*g + 25*g + 42 = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1860 - -1865. Which is the second smallest value? (a) 3\/2 (b) 1\/18 (c) s (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*z + 197*z + 175 = 0. What is the highest common divisor of z and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-7))\/(8\/28). Suppose 1 - 11 = -5*l. Suppose j - l*j - 4*j**2 + j**3 - 3*j**4 - 2 + 9*j**c = 0. What is j?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/7*w**3 - 62\/7*w**2 + 0 - 2\/7*w**4 + 6*w.\nAnswer: -2*w*(w - 7)*(w - 3)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 12*s**2 - s + 11. Let y be g(12). Let w be ((-2)\/(-3))\/(y\/(-3)). What is the nearest to 0.1 in w, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -38 - 25. Let r = d + 28. Solve 3*w - r*w + 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 3*a**2 + 3*a + 1. Let y be l(3). Suppose 3*s - 3 = -4*u, -2*s + 41 - 46 = 5*u. Solve -7 = -2*m + z, 5*z - y = -s*m + z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 20*m = 2. Solve y = 3 + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 14400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 706660 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121401091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -130 (b) 1\/2 (c) 338454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - 142?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273855154?\nAnswer: 2, 41, 751, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.4 - 18.1. Let v = -10.9 + o. Let d = -0.3 + 0.5. Which is the closest to 0? (a) 5 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/8*3*-771. Let w = c - 866. Calculate the common denominator of (-404)\/24 - (2 - 2) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - x + 3 = 0, 0 = 10*l - 12*l - 3*x + 1. Does 9 divide 4\/20*95 - l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110.7 - -111. Let r = 113 + -567\/5. What is the closest to z in 3, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 7326, -5, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/50 and 27\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 - -169. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 4. Let f be p(0). Suppose 4*w = 23*w - 589. Suppose -w*v = -33*v + 12. What is the highest common divisor of v and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 11) + 3 + (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*l - 17 + 26, -l + 9 = 3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 10667.\nAnswer: 96003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -11. Let j = q - 4. Suppose -108*a = -110*a + 2. What is the smallest common multiple of j and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14 - 17 = s, 0 = -2*a + 2*s + 14. Calculate the least common multiple of a and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6)*9 + (-87)\/58. Sort -2\/17, g, -1870 in descending order.\nAnswer: g, -2\/17, -1870","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000839901799 rounded to 7 dps?\nAnswer: 0.0008399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 2*r**3 - r**3 + (3*r + 2*r**2 - 3*r**2 - 2*r)*(6*r - 2*r - 13*r) in the form x + a*r**3 + l*r**2 + c*r and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 73*v**2 - 40*v - 6. Let f be 12\/48 + 290\/(-8). Calculate the lowest common multiple of o(f) and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17314 and 0.3.\nAnswer: -5194.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/160 and 181\/1647030.\nAnswer: 26352480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2376*o - 89 + 169 - 78)*(0*o**3 - 2*o**4 + 0*o**3).\nAnswer: -4752*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 - 36614*n**3 - 213663*n.\nAnswer: -12*n**2 - 219684*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -2*sqrt(130))*-4 - -4*sqrt(130)*2)\/(4*sqrt(10)*1*-2)*6.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6*n + n = 0. What is the second smallest value in 0.428, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1.5, 3.\nAnswer: -1\/2, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 15. Let d = o + 6.9. Let w = -557 + 559. What is the nearest to -3\/5 in -1\/5, d, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, -21 in ascending order.\nAnswer: -21, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194 by 3.\nAnswer: 194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18.332, -2\/5, -0.9, 1\/4, 2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:31 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -24. Suppose 2*q - 487 - 556 = 5*d, f = -4*q + 3*d + 2093. Suppose -5*u = -u - q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 581.6.\nAnswer: 584.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3*t + 8*s**3*w**2 - 18*s**3*w - 2*s**2*w + 16*s**2 - 12*s*t*w**2 wrt s.\nAnswer: -12*t + 48*w**2 - 108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0788, 2\/53025, 4\/5?\nAnswer: -0.0788","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.133913 days to nanoseconds.\nAnswer: 11570083200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/4444596 and -73\/81?\nAnswer: 40001364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88040570?\nAnswer: 2, 5, 971, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -0.2, -1\/232.\nAnswer: -9, -3, -0.2, -1\/232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**3 - 6*l**2 - 12*l - 5. Let r(q) = 4*q**3 + 2*q**2 + 4*q + 2. Determine -17*r(n) - 6*y(n).\nAnswer: -2*n**3 + 2*n**2 + 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, 4, -1 in ascending order.\nAnswer: -4, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119.9999622 + 120. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.1. Let t = 60593 - 60596.6. What is the second smallest value in -2\/5, b, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2464279?\nAnswer: 2464275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*g**3 - 152288 + 152288 - 2*g**4 + (6*g**3 - 3*g**3 - 11*g**3)*(5 - g - 5).\nAnswer: 6*g**4 - 71*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/(35\/(-2205)*-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 + 25*v**2. Let f(a) = 24*a**2. Calculate y(f(n)).\nAnswer: -576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2 - 3)*(-19 - 18 + 7)*((0*q - q + 2*q)*(4*q**4 - 3*q**4 - 2*q**4) + q**5 - q**5 - 2*q**5 - 6*q**5 + 0*q**5 + q**5).\nAnswer: 2160*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 19*v**2 - 4*v + 16. What is n(19)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66272*x**3 + 66278*x**3 - 2006*x**2 + 2006*x**2.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.81 - 11.11. What is the fourth biggest value in -0.03, -0.2, u, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 536980284 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by 4\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 396, 4 in decreasing order.\nAnswer: 396, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828*-15.088.\nAnswer: -12492.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(17) + -4 + (sqrt(17) - (-1 + sqrt(68)\/sqrt(4))) + 1.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*i**2 - 37349014*f**2 + 2*f*i + 19*i**2 - 64191*i wrt i?\nAnswer: 2*f**2*i + 2*f + 38*i - 64191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 500*j + 762 wrt j.\nAnswer: 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123.482 + -122.3. Round i to two decimal places.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.776 + 0.83. Let i = 115.946 + j. Let m = -115.88 + i. Round m to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 19911.\nAnswer: 19907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 1:14 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**3 + 7*o**3 - 5*o**3 + o**3 - 2*o**3 + 2*o**3 + (0*o**2 - 4*o**2 + 5*o**2)*(-2*o + 6*o - 2*o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 467 - 397.9. Is m not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -88358\nAnswer: -2\/44179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -924599 + -5.5022582?\nAnswer: -924604.5022582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 205396*j + 1865105.\nAnswer: 205396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:51 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 divided by 10294.\nAnswer: -75\/5147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 8)*((2 - 2 + t)*(-t + 2*t + 0*t) + 7*t**2 - 2*t**2 - 3*t**2) in the form g*t + d*t**2 + b and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 758, 656, 554, 452?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 5*p + 3. Let g(c) = 4*c**2 + 4*c - 2. Suppose -8 = -35*v + 31*v. Determine v*j(r) + 3*g(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3922643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5714 - -6069. Which is smaller: 1\/2 or b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -156*d + 348. What is z(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310666 is divided by 512.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 0 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 14) in base 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:20 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 3. Suppose -h = -2*q + 3. Suppose 0 = -5*t + 23 + q. Sort t, -4, 4 in ascending order.\nAnswer: -4, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((9\/(-2))\/(-3))\/(4\/(-8)). What is the units digit of 1 + 0 + t + 0 + 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 33 = -57 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (114\/42 - 0) + (-2)\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356176953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4296\/7 + 614. Which is the third biggest value? (a) 0.5 (b) h (c) -2\/5 (d) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**2 + 92969666*w - 58779899 wrt w.\nAnswer: -2*w + 92969666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359827.\nAnswer: 13, 89, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3682866, -3682848, -3682818, -3682776, -3682722, -3682656?\n\"Answer: 6*z**2 - 3682872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**2 + 886*u - 404. What is x(127)?\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (438\/(-1460)*(-5)\/(-3))\/26*(-16)\/10.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2869299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4873350 divided by 15.\nAnswer: 324890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2164279\/22 + 98342. Let k = 69341\/2010 + 2\/1005. Let d = k + g. Which is the third biggest value? (a) -3 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 11:09 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 19 = -702*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o + 6 = 31*o. What is the least common multiple of o and 19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r)**(-29\/4)\/(r**(-1\/2))**(1\/19) assuming r is positive.\nAnswer: r**(-1101\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(77) + sqrt(77)*4)*3 - (sqrt(77) + -4*sqrt(77))*-6)\/((sqrt(1331) + (sqrt(1331) - (sqrt(1331) + (-2*sqrt(1331) + sqrt(1331))*-6)))*-2).\nAnswer: -3*sqrt(7)\/110 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Suppose 0 = -4*j + h*u + u + 24, -5*j = -u - 19. Solve -2*q + j = o - 2, -3*o = q + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -4.1. Let m = 18 + -18.2. Which is the nearest to -0.3? (a) r (b) m (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 389*t**2 - 393*t**2 - 2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101313233 + 13?\nAnswer: -101313220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + -136. Suppose t - 663 - 59 = -5*x, 0 = -4*x - v*t + 586. Is x a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.549372 microseconds to seconds.\nAnswer: 0.000003549372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 3*p)*(13 - 3*p - 13).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021200 + -2102011?\nAnswer: 212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 660*p + 9. Let j = -158 + 159. What are the prime factors of v(j)?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 2*j**2\/7 + 68*j\/7 - 16.\nAnswer: -2*(j - 4)*(j - 2)*(j + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-1\/2)))\/v)\/v)**(-13\/5) assuming v is positive.\nAnswer: v**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 2*f**2 - 18*f + 49 - 10 + 42 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1960\/784)\/(5*1\/(-68))*1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492 less than or equal to 3524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077978.46 take away -1380?\nAnswer: 2079358.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*w - 2 + 18 = -12, 0 = -31*w + 4*w - 85 - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13376071 to the power of 1\/2, to the nearest integer?\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 6*p - 2*p + (5 - 2 + 2)*(-2*p - 5*p + 6*p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -42*x**2. Let r(j) = j**2 - 223. Determine r(c(m)).\nAnswer: 1764*m**4 - 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(19) + 1 + -1).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2 + 1092*j + 2177. What is a(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 3 + 3*w - 4*w)*(-51 + 6*w**4 + 51).\nAnswer: -6*w**5 + 114*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47768 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 15. Suppose 2*x + 3*x + 2*f = 135, 4*f + 78 = 2*x. Let q = x - h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-21 + 17 - 13) - (-15 + -77)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + (sqrt(320) - (sqrt(320)*-2 + -4)) + 2)*-6)**2.\nAnswer: 13824*sqrt(5) + 185616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -349161.7874 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239074*18.\nAnswer: -4303332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -884*q + 1903. Calculate the least common multiple of 40 and s(-3).\nAnswer: 36440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -5022\nAnswer: -91\/5022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 30. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j*j*j\/(j\/(j*j**(2\/7))*j)*j*j*j\/((j**(1\/2)*j)\/j)*j*((j*j**8*j)\/j*j)\/j assuming j is positive.\nAnswer: j**(291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100 (base 3) in base 6?\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47034 divided by 603.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let u(f) = 9*f + 539. Let k(n) = -4*n - 217. Let r(p) = 5*k(p) + 2*u(p). Give -4*d(a) + r(a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/(64600\/(-22610))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404878 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176673.\nAnswer: 3, 1058891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f**2 + 172*f + 15. Determine r(10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 168 = 48*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 6129 = -13*n. Solve 6*d = -203 + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 6*f - 1. Let k be q(4). Let b be (k + -5)*1\/2. Let s = 13 + b. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173185, 173189, 173191, 173191?\nAnswer: 173189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*d - 1407 + 281, 0 = 5*f + 4*d - 1375. Calculate the greatest common factor of f and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - 263 + 477 - 30*f**3.\nAnswer: -30*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -85565, 1, -3 in ascending order.\nAnswer: -85565, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2015835230 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23*53)\/(-5 + (-4 - -8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/1 - 1) + 7. Let j be (4\/o - 1)*1. Suppose -18 = 10*t + 2. Put t, j, 2 in decreasing order.\nAnswer: 2, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 + -1523\/9. Let m = 2103 - 2102. What is the closest to 1\/3 in f, m, 15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*h - 153 + 369. Solve -11 = -i + 5*w, -h*i + 61*w - 1 = 63*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, j: 4, a: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 920168.3s to microseconds.\nAnswer: 920168300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 4987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*x + 3*x. Suppose 4*j + j = x. Suppose 2*y - 234 = 3*i, 15 = -4*i - j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 - -224. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -223790 equal to -223790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -30 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - 1. Suppose g + 5*b - 12 = 15, 6 = -2*g + 2*b. Let a(c) = -4*c**3 + 3*c**2 + 5. Calculate g*a(q) + 6*f(q).\nAnswer: -2*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4636 and 19532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5313, 5352, 5419, 5514, 5637, 5788, 5967?\n\"Answer: 14*f**2 - 3*f + 5302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745640 + -24.9?\nAnswer: -2745664.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - 3*f**3 + (0*f - f**2 + 0*f)*(-3*f + 0*f + 2*f) + 21 + 12*f**3 - 21.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(2 + 1 - 4)*(-15 + 4 - 12)*(2*h - 6*h + 2*h).\nAnswer: 184*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -24*v - 16. Let w(z) = 5*z + 3. Let g(h) = 3*q(h) + 16*w(h). Let l(k) = -2*k**2. What is l(g(s))?\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/11 (b) 3 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4222177785?\nAnswer: 3, 5, 7, 1669, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 568*w**2 + 567*w + 275. Calculate n(-283).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooooozzozzfvoozz. Give prob of picking 1 s and 2 z.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:16 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -366 + 5131 + a**2 - a - 536 + 6222 - 7204*a**3 + 4927*a**3 wrt a.\nAnswer: -6831*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 45. Solve -10 = -i - k*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-556)\/(-695))\/(-1 + (-204)\/(-200))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/25 - 8*a**3\/5 - 36*a**2\/25 + 8*a\/5 + 38\/25 = 0. Calculate a.\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z. Let m = -2 + 7. Let t(s) = -12*s. Let l(w) = 35*w. Let x(a) = l(a) + 3*t(a). Let f(k) = m*x(k) + 2*v(k). Let y(u) = 8*u**2. Determine f(y(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 - 0.07. Let v = h - -0.06. Let s = v - 0.1000022. Round s to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 13*y = 52068. Let b = 2917 + y. Round b to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9 - 4 + u**2 + 0*u**2 + 6*u. Let y be 759\/55 - (-2)\/10. Let k = 9 - y. What is s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99088961.\nAnswer: 99088961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3 (c) 1\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:49 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 314, 762, 1524, 2612, 4038, 5814?\n\"Answer: 2*t**3 + 145*t**2 - t + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 70906.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.663418 millennia in centuries?\nAnswer: 16.63418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9345 times 42.03?\nAnswer: -392770.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.4, 0.5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1764 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57, 136, 363, 738, 1261?\n\"Answer: 74*k**2 - 143*k + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9613 + -0.2859.\nAnswer: 9612.7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 + b. Let x(t) = 5*t**3 - t**2 + 2*t. Give 2*h(r) - x(r).\nAnswer: -3*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162891791.20000065 + 162891786. Let t = 5.2 + r. Round t to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309918 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 100993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11262137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 6 - 3*z - 6*z. Let r(g) = g - 9. Let a be r(2). Is t(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805474 is divided by 279.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Suppose -2*t + 3*v = c, -3*t + v - 2*v = -19. Solve t*r + j = 2*j - 9, 2*j = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 less than 594?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13651.41212676133 take away 0.4?\nAnswer: -13651.81212676133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 + 120 = 0. Calculate the least common multiple of t and (1 - -20) + -1*1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 20. Let h be t(5). Let m be -1 + (-2 + h - -4). Suppose -3*z + 18 = -0*z. Is m at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/5 - 2\/(-5). Suppose m - 1 = 2*w. Suppose w*b = 8 + 10. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223288 and 90896?\nAnswer: 10271248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000033446 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - u = 4*u + 50, -5*u + 34 = 2*f. Suppose -2*y + f = y. Sort -2, y, -4 in decreasing order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -39. Let p be (-6)\/z*(56 + 6). Let a = p + -65. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -1.9. Let d = -0.4 - -0.8. Which is the nearest to o? (a) -3 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*f - 692*f + 126*f - 27 + 27.\nAnswer: -839*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88198.5 micrograms to milligrams.\nAnswer: 88.1985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0 - 10 = 0. Let p be (7\/3 - f) + -1. Let d = -5.3 + 1.3. What is the nearest to 2\/3 in d, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5308901 and 232661.\nAnswer: 58397911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*i - 2304 = -1034*i + 2014*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -113.\nAnswer: 10\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 191462 and 10?\nAnswer: 957310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 + 754*p**2 + 601 - 185 - 228.\nAnswer: 754*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 75 (c) -23\/6 (d) -7\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qew when three letters picked without replacement from {e: 3, q: 1, w: 12}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j = 70347 - 2731. Is 116 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-2)\/(-3) + 1. Suppose 5*o = p*s - 1, -3*o + 3 = -s + 2. Which is the nearest to 0.1? (a) 0.1 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c - -64921?\nAnswer: 64a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/7714 and -89\/152?\nAnswer: 30856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10899 = 407*v - 19446 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 929*v**3 - 5*v**2 + 68*v - 5. Let x(u) = 1859*u**3 - 9*u**2 + 139*u - 9. Let t(s) = -9*o(s) + 5*x(s). Find the second derivative of t(w) wrt w.\nAnswer: 5604*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/4 + -1\/4. What is the third biggest value in -4, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1189*o + 1192*o - 153 - 17*o**3 + 13*o**3 in the form r + p*o + w*o**3 + h*o**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68272 + -477901\/7. Factor 4\/7 - 8\/7*g + 2\/7*g**3 - 1\/7*g**4 + d*g**2.\nAnswer: -(g - 2)*(g - 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -5, -1, -13 in descending order.\nAnswer: 30, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1131, -2186, -3211, -4194, -5123, -5986, -6771, -7466?\nAnswer: -8059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 7:23 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v + 36430*v**3 + 33*v + 38*v + 34*v.\nAnswer: 36430*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 6 = -2*s. Let y(k) = k**3 + 18*k**2 + 32*k - 2. Give y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12992.96ml?\nAnswer: 12.99296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21450)\/(-20))\/(-33)*161\/115*(-12)\/(-14).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.359 - 252.641. Let a = i - -253.081. Which is bigger: 2\/3 or a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/2)\/((-5)\/(-205))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -358*n - 4 - 3 + 7 - 437*n as b + f*n and give f.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(75\/(-20)). What is the second smallest value in q, 4, -1, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2487211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q**3 - 8*q**2 + 44. Let d(o) = o**3 - 2*o**2. Let m(j) = -4*d(j) + u(j). Find the first derivative of m(l) wrt l.\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + 4*v**2 - 12*v**2)*((2*v + 0*v + 0*v)*(-2*v**2 + v - v) + (-8 + 8 - 11*v**3)*(2 - 4 + 1)).\nAnswer: -21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -57. Let v(u) = 18*u**2 + 14*u**2 - 35*u**c. Let b(d) = -9*d. Give b(v(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 11*o**4 - 5)*(-90 + 3*o + 38 - o).\nAnswer: 22*o**5 - 572*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 7. Let x be n(-6). Suppose -4*s - 5*d = 23, -4*d + 9 = -s - 2. Let b = s - x. Solve -r + 6*r = b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*((sqrt(114) - (sqrt(114)*-3 + sqrt(114)))*-6 - sqrt(114))\/(sqrt(6) + sqrt(6) + sqrt(36)\/(sqrt(216) + sqrt(6))) + -5).\nAnswer: -133*sqrt(19)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.89 + 22.900796. Round a to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66632659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3*m + 4*m)*(4*m**3 + m**3 - 2*m**3) - 4*m**4 + 2*m**4 + 0*m**4 + 2 - 2*m**4 + 1 - 2.\nAnswer: -m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1958 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1283*b - 7503. What is n(-8)?\nAnswer: 2761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let d(z) = 3*z**w + 1 + 3*z - z**3 + 2 - 6. Give d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.7 + -135.7. Let j = z + 111. Which is the nearest to 0.1? (a) 0.21 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/10)\/(9*1\/30). Suppose -3*r + 84 - 24 = 0. Suppose -2*x = 3*c - r, -5*c + 0*x + x + d = 0. Sort 0, c, 3 in descending order.\nAnswer: c, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -b + 8773, -4*b - 15451 = 2*d - 50513. Is 75 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*h - 3426 = -18417, -8*c - h = -59859. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 277140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -19 + -7 + 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14060242?\nAnswer: 2, 7, 1004303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0026 - 0.0726. What is the third biggest value in 2\/33, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/6*(2448\/56)\/17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 + 3 = -y, c + 5*y - 7 = 0. What is the third derivative of c*i**2 - i**2 + 6*i**2 + 3*i**3 - 2*i**2 wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2554 is divided by 96?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*g + 16 = -0*g, q + 2*g - 1 = 0. Suppose q*u - 9 = 16. Suppose -1 = -r + u. Solve -3*o = -r - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*d + 0*d - 3*d)*(-5 + d**4 + 5) - 24*d**2 + 24*d**2 + d**5 + d**5 - 3*d**5 + 4*d**5 + (4*d**4 - d**4 - d**4)*(0 + d + 0).\nAnswer: 6*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, -1585, -3163, -4669, -6079, -7369, -8515?\n\"Answer: 4*o**3 - 1654*o + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**3 + 2*w**3 - 29*w**3 + (-w + 0 + 0)*(w**2 - 2*w**2 + 5*w**2) + 6*w**3 - w**3 + w**3 to p + l*w**2 + k*w**3 + n*w and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 18\/710861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768255811 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -21124?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 4*b**2 + b + 6. Let r be u(-4). Let m(t) be the first derivative of -3\/2*t**r + 0*t - 1\/3*t**3 - 1. Find the second derivative of m(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 23852*o**2.\nAnswer: -4*o**2*(o + 5963)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 338, 662, 992, 1334, 1694, 2078?\n\"Answer: v**3 - 3*v**2 + 326*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8 + 130. Let q = -78 + i. List the prime factors of ((-9)\/(-4))\/((-12)\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1209.413 millilitres to litres.\nAnswer: 1.209413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -6*t + 4*t. Suppose -t = 5*l - 40. Suppose a + l*s = -3*a + 233, -2*a + 3*s = -121. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3629 by -34275.\nAnswer: 3629\/34275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + l - 1. Let j(y) = -5*y**2 - y + 2. Let p(o) = -5*j(o) - 8*z(o). Is p(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.246765 and 3236.3?\nAnswer: 3236.053235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5 in descending order.\nAnswer: 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112012102 + -1?\nAnswer: -112012103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3 - 8*t**2 + 9*t**2 - 8*t - 2*t**2. Let v be p(-8). Find the third derivative of -6*h**2 - 3*h**4 + 3*h**3 + h**v - 4*h**3 wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*z - 15, -2*z = -7*z - 5*g + 15. Which is the nearest to -6? (a) z (b) -2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066 times -17?\nAnswer: -0.1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.375 + -3.675. Which is the nearest to p? (a) 4 (b) 2\/7 (c) -54 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1434080)\/(-100) + (5\/25 - 0)?\nAnswer: 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1289.98621 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*r**2 + 37*r**2 - 103*r + 39*r**2 - 169*r**2 to the form y + i*r**2 + l*r and give l.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -15 - 12 - (-2 - (-3 + -2)). Let v be (-27)\/(-18)*(-28)\/(-3). Solve -g + 5*a - v + z = 0, 5*g - 5*a = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*g + 3, 3*t + 555 - 1105 = -5*g - 548 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 499, 443, 359, 253, 131, -1?\n\"Answer: t**3 - 20*t**2 - 3*t + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -439*z**3 + 5*z**2 + 60*z - 62. What is j(1)?\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -6, 0, 20, 60, 126, 224, 360?\n\"Answer: w**3 - 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 6 - 6*p - p**4 + 5*p**4 to d*p**3 + g*p**2 + q*p + f + c*p**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n. Let a be x(-2). Suppose 16*b + 3*v = 17*b - 669, 4*b + 2*v - 2746 = 0. Calculate the highest common divisor of a and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:25 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*g + 96, 9*h = 6*h - 9. Calculate the lowest common multiple of g and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 24482208?\nAnswer: 24482208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698*y + 77 = 709*y. Suppose y*u = -1851 + 4707. Does 30 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (382\/(-4966))\/((-12)\/585).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2)*1\/(-9)*-3. Let y be (3\/54)\/(2\/(-8)). Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-56) + (3 - 25\/10))*-3\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = 2*m. Calculate the lowest common multiple of 33\/m - 1\/(-3) and 41\/3 + (-2)\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29907?\nAnswer: 3, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 118*a - 3. Suppose 0 = -2*k + 5*b - 29, 4*b = -5*k - b + 15. Let m(n) = -59*n + 1. Let s(w) = k*z(w) - 5*m(w). What is the units digit of s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27454 (base 10) to base 9\nAnswer: 41584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q + 4. Let o be s(0). Let t be (-2 - o)\/(3\/(-260)). Suppose 95 = -5*r + t. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407164 is divided by 5655.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(2048) - 1*sqrt(2048))*6)**2 + sqrt(2048) + sqrt(2048)*-2 + -4 + 2*(0 + sqrt(2048))*-6).\nAnswer: -2496*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 407 = -99. What is the remainder when 769 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3851\/1213 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/180)\/((-2)\/(-6))*-2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 2184250.\nAnswer: 24026750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 102*m**2 - 11*m + 8. Let c(l) = 153*l**2 - 17*l + 12. Let f(o) = -7*b(o) + 5*c(o). Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45466077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5011*d**3*p**4 + 12*d**3*p + 88*d**3 - 2*d*p**4 wrt p?\nAnswer: 60132*d**3*p**2 - 24*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 114?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + ((sqrt(1088) + sqrt(1088)*-2)*-6 + 5)**2)*-3.\nAnswer: -470256 - 5760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/((-13662)\/(-36)))\/((2\/(-9))\/(9\/108))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 2027580.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 - -210 - (12 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - c + 1. Let s(p) = -30*p**2 + 55*p - 75. Let q(w) = -57*w**2 + 108*w - 153. Let x(j) = 4*q(j) - 9*s(j). Determine -126*h(b) + 2*x(b).\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191 - -137. Let h be 2\/7 - n\/(-42) - -31. Calculate the highest common divisor of 45 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**2 - 5*n - 4. Let h(x) = -x**2 - 2*x + 4. Let c = -11 + 7. Let r be h(c). Calculate q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.189 + 83.189. Let u = -77 + y. Let p = u + -5.7. Which is the closest to -0.2? (a) -1 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 1, b: 1, x: 2, e: 1, n: 1}. What is prob of picking 1 e, 1 v, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - m - 17 + 0*m + 5*m. Let a be n(7). Solve 0 = a*w - 5*p - 17, -10 = -5*w + 5*p - p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107\/14 - 549\/70. What is the smallest value in g, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -m + 3*m. Let u be 1\/3 + 8\/m. Let s(p) be the first derivative of 14*p**3\/3 - p**2 - p + 3194. What is s(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let u(s) = 16*s - 15. Let k be u(1). Is (k\/j)\/((-14)\/(-1484)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6*z - 190, -13 + 55 = -m + 2*z. Let b be m\/(-112) - (-36)\/21. Put -4\/9, -3, -0.09, b in decreasing order.\nAnswer: b, -0.09, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**3\/3 + 5*n**2 + 25*n - 37. Let g be b(-7). Let r(v) = 2*v**3 + 5*v**2 + 8*v - 19. What are the prime factors of r(g)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3 - -5)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3\/4, -1\/26, -40.6, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*h = -5 + 19, 4*h + 2 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/31 + -19\/124. Let z = 5.8 + -6. Let i = -28.9 - -31.9. What is the closest to -1 in i, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/76669 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddfdz. Give prob of sequence df.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10082*n**2 - 1. Let x(l) = -2*l. Determine x(r(h)).\nAnswer: 20164*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -19*o**3 + 62*o**2 + 125*o - 1140. Let b(s) = 59*s**3 - 187*s**2 - 376*s + 3420. Let x(q) = -8*b(q) - 25*h(q). Determine z, given that x(z) = 0.\nAnswer: -5, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/10 + 2*j**2. Let z(t) = 2*t**2 + 13. Let v(l) = l**2 + 6. Let k(p) = -13*v(p) + 6*z(p). What is k(u(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - 1. Give l(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 58886814.\nAnswer: 176660442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/((-63)\/(-8)) - (-6583808)\/196.\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9120)\/(-2090))\/((-174)\/(-2871))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -0.5, 0.2, 0.1, -49 in ascending order.\nAnswer: -49, -18, -0.5, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4428716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 3*r**2 - r**2 + (0 - 6 + 0)*(54 + 7*r**2 - 54) + (-13*r + 11*r - 17*r)*(2*r - 2*r - r) + 1 - 1 + 2*r**2 as m + p*r + l*r**2 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1088) - (-1 + (sqrt(1088) - (sqrt(1088) + sqrt(1088) + -2))**2)) + (sqrt(1088)*-1)**2*-2 + 4).\nAnswer: -13052 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, and 2 h when four letters picked without replacement from wwwhphwmmhwwmwwmwwww.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16*i - 16. Let f be o(3). Suppose -8*t = -0*t - f. Put t, 1, -7 in descending order.\nAnswer: t, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 51*h = 78 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 6*s**3 - 10*s**3 + 10 - 5*s**3 + 2*s**3 + 0*s**3 + (-43*s**2 + 24*s**2 - 5*s**2)*(4*s - 5*s - 2*s) to r + u*s + c*s**2 + w*s**3 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 1602455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 - 2. Let h be p(-4). Let y(x) = 9*x**2 + 2*x - 1. What is the remainder when y(h) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-6 + 13))\/(2 + -1). Put 10, p, 2 in decreasing order.\nAnswer: 10, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 88*q = -290*q - 9841 + 97 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11864 + 12048. Calculate the remainder when x is divided by 106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 952.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 242, -139, -1140, -2761?\n\"Answer: -310*a**2 + 549*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43617?\nAnswer: 3, 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*74\/(-28) + (-85 - (-69 + -22)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:55 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 0.2, 5\/8, 2\/9, -23.6, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 7*i + 42. Let k be x(12). Let s be (16\/12)\/(34\/k). Suppose 3*g + 7 + 0 = -f, 4*g = -2*f - 8. Solve a + 3*j = -2*a - 30, f*j = -s*a - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {t: 1, s: 4, l: 5, c: 1, p: 1, k: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -704332694, -704332693, -704332692, -704332691?\n\"Answer: r - 704332695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1765*j - 564791. Give s(-320).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**3 + 4*k**3 - 4*k**3 + (-2 + 3 + 0)*(859 + 103 - 258 + 463)*(2*k**2 + k**3 - 2*k**2) as l*k**2 + a*k**3 + y + t*k and give a.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-4 + -3)**2 - (-4 + sqrt(2)*1).\nAnswer: 23*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 6:10 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0641306l to millilitres.\nAnswer: 64.1306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -12 (c) 2734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*l)\/(l\/(l\/(l\/l**(-10\/9)*l*l*l))) assuming l is positive.\nAnswer: l**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 262 + -261. Let r(h) = h - h**2 - 4 + 3*h**3 + 2 + 1. Give r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7380.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.3 + 19. What is the closest to -3\/8 in 1, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(693)*-1*5)\/sqrt(11) + 4 + 4 + sqrt(252) + -1.\nAnswer: -54*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:49 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2143 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940403 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.42 + -24.42. Which is the nearest to 1? (a) q (b) 0.06 (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/5)\/(-3)*-18. Let w(o) = -o**3 + 7*o**2 - 6*o - 6. Calculate w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15015 and 624?\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 58. Solve 0*s + f = -5*s - c, -3*f + 6 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0106223 to 4 decimal places.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*r + 4*r - 3640, -4*r = -5*m - 14561. Let j = 43703\/12 - r. Calculate the common denominator of j and -17\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138953270 rounded to the nearest one million?\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:35 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2085*(-15)\/((-315)\/(-14)).\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g + 36182 = j, 0 = -j - 1. Let k = -7619 - g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/27 (b) 2\/5 (c) 2 (d) -1\/12 (e) -2\/11 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2588815 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.5, 135, 5, 5\/64?\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-105 + 111 + (-6 - -1) + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70993783 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: Is 41\/54511 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13664 and 672?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 - (-5 + -9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 + 1 + sqrt(108))**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*u + 1\/2*u**5 - u**4 - 3\/2*u**3 + 2*u**2.\nAnswer: u*(u - 2)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354481 by -412.\nAnswer: -354481\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 531693 to the power of 1\/2, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-35)*(-24)\/((-4752)\/33)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/5806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -32834572627993.\nAnswer: -32834572627991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 5857*z + 4763856.\nAnswer: (z - 4881)*(z - 976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*z + 0 + 0)*(0*z + z - 3*z) - 7*z**2 - 12*z**2 - 19*z**2 as d*z + p*z**2 + g and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15 - 10*p**2 + 11*p - 3*p - p**3 + 16 - 7. Is 8 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347216?\nAnswer: 2, 3, 13, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 2 = 11*q. Let a(o) = -q*o + 19*o - 12*o. Let x(i) = -41*i**2. Calculate x(a(m)).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 158.8*-1081.9.\nAnswer: -171805.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11918930.\nAnswer: 2, 5, 239, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1\/4, 1, 1.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6873*h + 40265*h - 10410*h + 11837*h + 5354*h)*(-3*h**2 + 0*h**2 + h**2).\nAnswer: -107838*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**2 - 14*p + 35. Let q be v(3). Suppose -q = -3*i + 4*y, 5*y - 55 = -5*i + y. Solve 0 = 5*d - 2*s - i, 2*d - 9 = -2*s + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135013\/20 + 40947\/5. Let s = y - 1423. Calculate the common denominator of 7\/3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50141 and 0.07173?\nAnswer: 50141.07173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010111011001111 (base 2) to base 5.\nAnswer: 21111243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 + 4*y**3\/3 - 4*y**2. Suppose 5*f - 13 = 4*o, -26*f = -28*f - o + 13. Let v(c) = 1. Give f*p(n) - 40*v(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (1*sqrt(1331))**2)*-4 + (sqrt(198)\/sqrt(441))\/(sqrt(2) - sqrt(18)\/sqrt(36)).\nAnswer: -5312 + 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**38*(z\/z**(-43))\/z*z*z*z*z*z)\/(z\/z**(-1))**13)**(-3\/14) assuming z is positive.\nAnswer: z**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1148556 at most as big as -1148559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l + 14. Let k be y(9). Let j = -37.2 - -37.3. Which is the closest to j? (a) k (b) -0.4 (c) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 133. Let v(j) = 4*j**2 + 24*j. Let k be v(c). Suppose -9*m + 5*m + 784 = k. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129942 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -1, -2, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let u be f(1). Suppose 89 + 127 = 3*x. Let m = 358\/5 - x. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54767 is divided by 17926?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77*(8\/(-4) - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39\/1150, 1054, 4, 0.1?\nAnswer: 1054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*x**3 + 216*x - 216*x + (0*x + 2*x + 0*x)*(2*x - 4*x + 4*x)*(2 - 2*x - 3 + 0).\nAnswer: 103*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + 15*x**2 - 29*x - 12. Give u(5).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 16*w**5 - 337 + 337 - w**3. Let j(v) = -v**5 - v**3 - v**2 - v. Let x(a) = -g(a) + j(a). What is the second derivative of x(o) wrt o?\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2214454 + 4429111 - 2214657 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4086a84 (base 12) to base 3.\nAnswer: -211210211220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 7. Give s(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2733 - -2743. Sort -4, -3, w, 54 in decreasing order.\nAnswer: 54, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12229033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.4663mg in tonnes?\nAnswer: 0.0000005394663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16*h. Let b(a) = 2*a - a + 6*a - 6*a. Give v(b(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285 - -298. Let g(m) be the first derivative of 2*m**6 - 2\/5*m**5 + 2*m**3 - 11\/2*m**4 + 5*m**2 - 4*m - y. Determine a, given that g(a) = 0.\nAnswer: -1, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -65. Let m(h) = -2*h + 32. Let p be m(v). Let j(l) = -13*l - 6. What is the lowest common multiple of 11 and j(p)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2017 + -4787?\nAnswer: -4788.2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-446)\/60 - 8\/(-60)*-3. Are w and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 2241?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 16*c**3 + c**3 + c**3. Let k be q(1). Let o = k + -16. Solve 4 = a + o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 3*a + 42, 5*z = -2*a + 56. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11188509, -22377086, -33565663?\nAnswer: -44754240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/58926 and -17\/40510176.\nAnswer: 2471120736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s. Suppose -5*q - o + 1 = 0, 1 = -4*q + 2*o - o. Suppose -3*m + q + 12 = 0. Let y(d) = 4*d - m*d + d + 2*d. What is l(y(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 43*n - 2 = 5*h, 4*h = -2*n + 4*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2211 - 124414010?\nAnswer: -124421221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -100, 5 in increasing order.\nAnswer: -100, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3838*d**5 + 7*d**3 + 9*d**2 - 189*d - 109259 wrt d?\nAnswer: -76760*d**3 + 42*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*l*p**2 + 37*l*p + 85986*p**2 wrt l.\nAnswer: 269*p**2 + 37*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + c + 9 = -5*d, 0 = 4*d + 2*c - 14. Put 3, d, -6 in decreasing order.\nAnswer: d, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, l: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -131401, -262757, -394091, -525391, -656645?\n\"Answer: 2*m**3 - m**2 - 131367*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -200 + 47. Let x = -49 + w. Solve 0 = -h + x*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7974855*k**2 + 6708246 with respect to k.\nAnswer: -15949710*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -45*v + 2. Let w(j) = -2*j. Calculate -l(o) - w(o).\nAnswer: 47*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 719098*l**2 + 1438193*l - 719096.\nAnswer: (l - 719096)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13*y = -8*y + 35, -5*v + 4*y + 32 = 0. Let o be -6*((-3)\/2 - -2). Put v, -47, o, 5 in ascending order.\nAnswer: -47, o, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*u - 4*m, 5*u = -0*u - m + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676522 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45958802*p**4 - 3*p**3 + 28407206*p**2 wrt p.\nAnswer: 1103011248*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.897 + -3.685. Which is the third biggest value? (a) 0.01 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -0.4, -2\/7 in ascending order.\nAnswer: -14, -4, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 13641684?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-3 - 1))*-1. Let m(q) = -q**3 + 5*q**2 - 9*q + 16. Let k be m(4). Sort 5, k, z in descending order.\nAnswer: 5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 - (7 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 40 = 5*d + 3*l, 3*d + 4*l = -11. What is the closest to 1 in 3\/8, -0.1, d?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1420 + -4?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:05 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:30 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -424 + 202. Let w = o + 733. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -602421798 by -194.\nAnswer: 3105267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 706835957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20162738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/5*(-2)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 8*x**2 + x + 8. Let u be y(8). Let m(r) = 2*r + 9. Let t be m(-6). Let g be u\/((t - -5)\/2). Solve -3*q - w + g = -0*q, -q = -3*w - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 808100 to the nearest ten thousand.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 825, 7, -4\/5, -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -442 - 25434?\nAnswer: -25876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:18 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/3, 319, 0.01, 113, 2?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2680, 2684, 2686, 2686, 2684, 2680?\n\"Answer: -s**2 + 7*s + 2674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x**3 + 33*x**2 + 297*x. Let v(y) = 6*y**3 + 18*y**2 + 149*y. Give -6*p(f) + 11*v(f).\nAnswer: -6*f**3 - 143*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 4 + 34\/17. Suppose v*p - 77 = 391. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/4 - 2765*p\/2 - 7645225\/4 = 0. What is p?\nAnswer: -2765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6874.5645758 and -0.67.\nAnswer: 6873.8945758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y - 32. Let t(c) = -9*c - 13. Let s(v) = -5*d(v) + 12*t(v). Let m be s(0). Differentiate -25*f**4 - 2 + 42*f**m - 3 with respect to f.\nAnswer: 68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0 - 3 + 617*t as q + g*t and give g.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 863884 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 6 + -5 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13661 + 3.86339. What is the nearest to 0.05 in u, -4, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 6:05 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2. Let l(p) = p**2. Let n(x) = 2*g(x) + 7*l(x). Let i(m) = 23*m - 5. Let y(j) = -11*j + 2. Let z(c) = -2*i(c) - 5*y(c). Determine n(z(h)).\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-10)\/(-81)*-12*(-18)\/30.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-4)\/(-5))*15. Suppose 10*k - 11*k = -w. Let t = -11 + k. Let u(z) = 5*z**2 + z. Calculate u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/30 - 4\/15. Which is the closest to 0? (a) 1 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b02a (base 13) to base 8.\nAnswer: -416317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73967.52 kilometers to centimeters.\nAnswer: 7396752000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 22. Let u = 300\/17 + -9413\/544. Find the common denominator of 855\/72 - w\/(-2) and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a - 8 = -2*q, -5*q + 4*a + 19 = 0. Let o be -1 + q - 4\/2. Suppose 4*f + o - 22 = 2*v, 5*v - 1 = 3*f. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/16? (a) -2\/9 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 4. Let s(z) = 4*z - 12. Let c(a) = -7*h(a) - 2*s(a). Suppose -1 - 3 = l. Calculate c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1038*n**3 + 3329.\nAnswer: -3114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21950900 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*1)**2 + -5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21905732, 43811462, 65717192?\n\"Answer: 21905730*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 2*t)*(-t - 2*t + 6*t) + t**2 - t**2 - t**2 + (2*t + 8 - 8)*(-9*t + 5*t - 10*t).\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201021 (base 3) to base 16.\nAnswer: -a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 134, -68, -280?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:20 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 26*n - 58. Determine r(26).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r - 139*r - 60*r + 17*r - 36*r.\nAnswer: -183*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 4. Suppose 12*c - 2*x - 15 = 9*c, -2*x = -c + 9. Let o(b) be the second derivative of -2\/3*b**3 - c*b**2 + 0 - 2*b. Give -7*d(f) - 5*o(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/27*-3*((-3)\/135)\/((-44)\/495)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 58. Suppose 2*a = 4*a - r. Find p, given that 40 - 8 + 48*p + a*p**2 - p**3 + 5*p**3 + 14*p**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/59 (b) -1750.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/44 + (-1620)\/(-198)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3617550, -7235110, -10852680, -14470266, -18087874, -21705510?\nAnswer: -25323180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - (-42)\/(-15))*2525\/(-10)?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 728\/36 + (-2)\/9. Suppose -3*t + p = t. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + 14. Let q = v + -27. Let w be (1\/(1\/2))\/(q\/(-518)). Which is greater: w or -38?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) 860\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -541, -584, -621, -652, -677, -696, -709?\n\"Answer: 3*g**2 - 52*g - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, 768, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546*q = 557*q - 5907. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 111.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34513 + -55?\nAnswer: -34601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2542184*r**6 - 135*r**2 - 831 wrt r?\nAnswer: 305062080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 + 58*v + 54. Determine y(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121173 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 186. What is the remainder when 734 is divided by x(13)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 3*x - 1. Let t be h(4). Suppose -5*g = t*w + 2, -3*g = w - g. Let f = 3 + 0. Which is the third biggest value? (a) f (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 2*o + 2. Let n be j(3). Suppose -r + 2*c + 2*c - 18 = 0, 4*c = 16. Put -4, r, n in decreasing order.\nAnswer: n, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 997028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581002, -581001, -581000, -580999?\nAnswer: -580998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -100*d**4 + 145*d**3 - 100*d**2 - 55. Let t(z) = -11*z**4 + 16*z**3 - 11*z**2 - 6. Let y(j) = 6*o(j) - 55*t(j). Factor y(s).\nAnswer: 5*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 2*p**6\/15 - p**4\/3 + 38*p**2. Find the second derivative of n(w) wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/16891733 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:52 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 147.7, -97555?\nAnswer: -97555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/16 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 2:05 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*c + 2*l, -15 - 12 = 2*c - 3*l. Let w(y) = -y**2 - 7*y + 27. Calculate the common denominator of w(c) and -57\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 31*l**2 + 7*l + 761. Let f(u) = -22*u**2 - 5*u - 507. Give 7*f(o) + 5*y(o).\nAnswer: o**2 + 256","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -11. Let g = s - -120. What is the highest common divisor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c - 3*x + 1, 3*x + 4 = 4*c. Suppose l + c + 2 = -3*a, 13 = l - 5*a. Suppose -l*d + 2*d + 95 = 0. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 9:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467990 is divided by 2645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0 - p**2 - 1\/2*p**4 - 1\/10*p**5 - p**3 - p. Let t(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -27. Calculate the least common multiple of d and 3.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4972 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 2*k + 0*k + 4*k**3)*(-155*k - 62*k**2 + 155*k).\nAnswer: 62*k**5 - 124*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 24*w**3. Let a be y(1). Let v = 31 - a. Is (78\/v)\/(2\/14) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19672 is divided by 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**16*(t\/((t*t**(-18))\/t*t))\/t assuming t is positive.\nAnswer: t**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 18120001 = 3*v - 19820005, 0 = 2*v - 4. Round m to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118*i - 553*i = -1041*i - 645*i + 72032 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.63708 millilitres?\nAnswer: 0.05263708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*j = -6 - 17, 5*i - 20 = -2*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81721 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/(((z\/(z*(z**21*z)\/z))\/z)\/z*z))\/(z\/((z\/(z\/(z**(1\/10)*z)*z))\/z))**(-1\/35) assuming z is positive.\nAnswer: z**(7369\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150731444 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - k - k**2 - 46*k**3.\nAnswer: -46*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 124 = -4*g + 104, -2*g - 66 = 10*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 959 - 957. Solve -l = -f*i + 6, -2*l - 2*l = -i + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1799*t - 438*t - 2542 + 1718*t**2 + 2542 - 514*t**2 wrt t?\nAnswer: 2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-4 - 1 + 6) + 4 + 3 - 1)*(-b + 2*b + 3*b).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1 + 4*l + 2 - 3*l - 4. Give o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 120445.\nAnswer: 5\/24089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -62273736 divided by -198324?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3528, -7032, -10510, -13962?\nAnswer: -17388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*c + c - 2812, 4*r + c - 2812 = 0. Suppose 0*x - 4*x + 699 = o, 0 = 4*x - 3*o - r. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbgiipi. What is prob of picking 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 910 - 621. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(-7))**7\/((i**1*i)\/i*i*i**1*i*i**(-5)\/i**(-2)) assuming i is positive.\nAnswer: i**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 + 3*n + 14. Let r(a) = a**3 - 6*a**2 - 4*a - 13. Let d(u) = 4*r(u) + 3*z(u). What is the units digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 5:55 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 53941?\nAnswer: -53941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 328\/1476*315\/3080\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12) + (-1*sqrt(1200) - sqrt(1200))) + -3)**2 - (-4 + sqrt(171)*-2*5).\nAnswer: 248\/19 + 576*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5729.8 decades?\nAnswer: 57298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1133, -14388, -39779, -77306, -126969?\n\"Answer: -6068*v**2 + 4949*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:20 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -122. Suppose j - k*d = 58, 2*j - 80 = -0*j + d. Calculate the remainder when 111 is divided by j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**3 - 11*n**2 - n + 13. Let q(f) = 7*f**3 - 22*f**2 - 2*f + 24. What is 8*q(t) - 15*r(t)?\nAnswer: -4*t**3 - 11*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -93 - (-1 + -28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 51905\/6, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 986 divided by 5028.\nAnswer: 493\/2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-9)\/(-90)). Let a = 39 + i. Solve -r + a = -5*p, -3*p = -r + 18 - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1267652.\nAnswer: -5\/1267652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.83 in 9, 4, -3\/4, -3, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 + 2 = -4*s, -3*x + s + 13 = 0. Solve x*p - 25 = -v, 5*p + 2*v = p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2 + d - 3\/2*d**2 = 0. Calculate d.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.1, 16 in ascending order.\nAnswer: -0.1, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 3*w - 486. Let n(i) = 3*i**2. Calculate y(n(d)).\nAnswer: 18*d**4 - 9*d**2 - 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4)\/(44\/(-12) + -2 + 110\/30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 30. Suppose 4*y + 0*n - 17 = -n, -3*n = -y - 12. Suppose -y*d + d = -4*q - 34, 3*d + 4*q = 21. What is the least common multiple of d and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1149373796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623?\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 4*z**3 + 3*z**3)*(0 + 4 - 2 - 2666 + 4164 - 5639 + (0 - 1 - 1)*(-2 + 2 + 2)).\nAnswer: -4143*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.3 (c) -1\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*b**2*c**2 - 4*b**2*c*w**2 + b + 3*c**2 - 5*w**2 wrt b?\nAnswer: 252*c**2 - 8*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let z = -0.5 + y. Let u = -413\/6 - -69. What is the biggest value in u, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478051274?\nAnswer: 2, 23, 10392419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 452 and 1299274?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 - -453 - (23 - 0) - 33?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 3*j**4 + 27 + 74)*(-155 + 155 - 9*j).\nAnswer: 27*j**5 - 711*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510734 is divided by 454.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 102087, 816458, 2755419, 6531264, 12756287, 22042782?\n\"Answer: 102049*a**3 + a**2 + 25*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479695070 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13485541 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*145\/348*(174\/(-15) - 4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*(-5124)\/(8 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/75 and 37\/3250.\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1720 and -13\/166195.\nAnswer: 1329560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -244245\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -12.9. Let p(g) = g**3 - 5*g**2 + 3*g + 5. Let d be p(4). Which is the second smallest value? (a) s (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/5)\/(71\/70 + -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 809 + 800 - 3*y**2)*((-3 - 2 + 4)*(2 - 2 + 3*y) - 3 + y + 3).\nAnswer: 12*y**3 + 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {i: 3, m: 1, s: 3, j: 1, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(832)*5)**2 - (sqrt(78)\/sqrt(6) + 0)**2).\nAnswer: 20784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1007, 811, 631, 473, 343, 247, 191?\n\"Answer: h**3 + 2*h**2 - 209*h + 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 4, k: 7}. Give prob of sequence rkz.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 8*r + 3*d, 2*r - 18 = 31*d - 33*d for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72807 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s - 110 = -64*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792355?\nAnswer: 3, 5, 186157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d\/(d**(1\/3)\/d)))))\/d**(-11)*((d\/(d*d**(-16)))\/d)\/(d\/(d*d*d**(-1\/19)\/d)*d) assuming d is positive.\nAnswer: d**(1441\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 3\/5, -3\/7, 4, -127, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9) - (-155 + (-111279)\/(-1323)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**4\/3 - 3*o + 1. Let x(h) = -7*h + 4. Let g(m) = 13*m - 7. Let u(l) = 4*g(l) + 7*x(l). Calculate u(c(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-1)\/(-2))*(-2312)\/51. Suppose 3*p + 4*y - v = 0, 2*p + 0*y + 2*y - 42 = 0. Solve 0 = -d - 3*d - p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80459.\nAnswer: 61, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -44*p - 227. Calculate i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 859*y - 13.\nAnswer: 859*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 123098.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjqddjjqjq. Give prob of picking 2 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4443 - -4445. Let t be (-1 - 1) + 7 + -2. Suppose -5*x = -5*f + 3685, -b*f + 6*f - t*x - 2950 = 0. What is f rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 128. Calculate the greatest common divisor of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 9 + 11 - 2. Calculate c(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**2\/2 + 2*c - 5. Let k(a) = a + 1. Determine -6*k(s) + 3*z(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3 = -6 + 19 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5183 = 6*c - 1189. Let s = c - -105. Is s 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 -127117421, -127117422, -127117423, -127117424, -127117425, -127117426?\nAnswer: -127117427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0261 - 4.0271. Let k = q - -4. What is k rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45590?\nAnswer: 2, 5, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {n: 1, l: 1, y: 2, v: 1, o: 1, u: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**7\/735 + v**5\/105 - v**3\/21 + 3*v**2 - 1. What is z in n(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 - 2*o. Suppose -b + 1 = -3, -32 = -3*r - 5*b. Give s(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1321*q**2 + 8. Let r(u) = 40*u - 154*u + 33*u + 40*u + 39*u. Determine o(r(s)).\nAnswer: -5284*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 340, 3 in descending order.\nAnswer: 340, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-574471)\/276*-6)\/(3\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/120 - r**5\/60 + r**4\/24 + 11*r**3\/6 - 17*r**2. What is the remainder when 38 is divided by s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.1715 minutes to seconds.\nAnswer: 17830.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 8:22 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/4 + 5*m**3\/3 - 2*m**2 - 156. Determine x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - -4 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -541034 + 934367. Suppose -7 + 13 = 6*r. Let x be r + -1*h*-3. What is x rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 54 = -5*i + 8*i, 4*i + 15 = -3*c. Let z = -0.02 - -0.12. What is the closest to z in 0.4, 4\/3, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y. Suppose -s = 2*v - 68, 5*v + 0*s = 4*s + 183. Let k(b) = 34*b + 15 + 20 - v. What is l(k(t))?\nAnswer: 170*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 25 = -19. Suppose -q = m, -2*m + 2*q + 24 = f*m. Solve 2*a = -d + 4, -m*a - a = d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-12))\/((-18)\/(-8) + (-23 - (-2259)\/108)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524244 and 4740?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/(-20) - 1 - (-8)\/20. Factor 1\/4*b**3 + 3\/4*b**r - 1\/4*b - 1\/4*b**4 - 1\/2.\nAnswer: -(b - 2)*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36341 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -3*p - 2*p, 5*c = -3*p - 15. Suppose p = -2*f + 3*h + 31, -4*f - 7*h + 2*h = -117. Let k = -19 + f. Solve 3*d - 8 = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -169\nAnswer: 35\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 4*g**2 + 2*g**4 - 2*g**5 + 2*g**4 + 8*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 438 or 6151\/14?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2) - (567\/(-48))\/(-3). What is the closest to 1 in 0.5, s, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 634417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -312813?\nAnswer: -31280c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**5\/20 + 11*x**4\/24 - 1411*x**2. Give a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 12 = 3*p, -3*p - 5*i - 15 = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = y - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4 - 4*v**2 + 2*v + 3*v**2 - v + v**3. Let r be n(0). Solve r = -5*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -20*u + 147 - u**2 + 84 + 2*u**2 - 190. Let s be z(18). Solve 0 = s*l + 2 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24540*r - 12. Let j(k) = 3*k. Give c(j(u)).\nAnswer: 73620*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 33. Does 38 divide z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 11*l. Suppose -5*i = 2*v - 36, -3*i = -0*i - 5*v - 3. Let p be n(i). Let m be (615\/2)\/(p\/40). What is m rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206241 = 2*p + 21759. Round p to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjnjnjjjjjjnjjj.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 41. Let k = -2 - -1.95. Let h = k - f. What is h rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 - 2*f. Let w be d(-4). Suppose -2*v + 6*v - 8 = 0. Let u = w + v. Solve -u = -o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000100110010110010100 (base 2) to base 7\nAnswer: 156314451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -20. What is the smallest value in -5, 5\/6, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 - 937\/4. Factor 0 + 3\/4*f**2 - k*f.\nAnswer: 3*f*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40973 and 4.\nAnswer: 40977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by -2?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1036*q**4 - 4*q**2 + 1086*q**3 + 1084*q**3 + 3*q**2 - 2170*q**3 + 1 in the form c*q + w*q**2 + v*q**4 + j*q**3 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.04. Let j = 20 + -15. What is the third smallest value in 0.2, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isxxxxxcxxxxscsxsxx. Give prob of sequence sxss.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from seeeeessseeswwseeee?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -1 - (2043 - 1996).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2016 by -5460.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -10, 3, 4, -120, -2 in descending order.\nAnswer: 4, 3, -2, -10, -29, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 21*c**2 + 23*c + 61. Is u(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 2*k**2 + 2*k**2)*(-11 - 14 + 4)*(-6 + 0 - 4 - 4 + 3 - 1 + (4 + 0 - 3)*(3 + 0 - 5) - 2 - 2 + 2).\nAnswer: -672*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1383 and 27503721.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-12))\/(1\/4). Suppose 2*b + 26 = 2*g, -3*b - d - 2 = -g. Let f = g + -4. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 2. Let j be a(-3). Sort j, -3, -2 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 235.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 223999, 0.3, -3 in ascending order.\nAnswer: -3, 0.3, 223999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4504\/5 - -897. What is the common denominator of l and 19\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3810 or 26662\/7?\nAnswer: 26662\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 116*z**2 - 2*z. Does 6 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 569984 and 876.\nAnswer: 1709952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 27 = -4*b, -4*v + b - 13 = 4*b. Put 1\/5, v, -10 in descending order.\nAnswer: 1\/5, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*104*(-1)\/(-2). Let m = z - -80. Which is the closest to m? (a) 3 (b) -8 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31182903781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3698768007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 61*l**2 + 76*l**2 + 52*l**2 - 73*l**2 - 5*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 - -0.553?\nAnswer: -263.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 309 + -267. Calculate the highest common factor of 392 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**5\/3 + 8*i**4 + 24*i**3 - 448*i**2\/3 - 140*i + 600 = 0.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 40. Find the second derivative of -i*u - 87*u**4 + 81*u**4 + u wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02363533 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 27, 37?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 23. Let c be r(-7). What is the second biggest value in -2\/19, c, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(832) + -2 + 2 + 2 + sqrt(832).\nAnswer: -8*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1)*(2939452 - 416*p - 2939452).\nAnswer: 1664*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040) + sqrt(5040)*1)\/((sqrt(640) + sqrt(40))\/sqrt(8)).\nAnswer: 24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8 - 8 + 2*l - 3*l. Let m(v) = 31*v. Calculate m(y(x)).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 731320 to the nearest 10000.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101039 take away -4?\nAnswer: -101035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 p when three letters picked without replacement from {p: 2, y: 1, e: 1, o: 2, x: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 0.87?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1370*b**3 - 3*b + 4. Let i be -1 - ((-5)\/((-10)\/(-4)))\/1. Is o(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 5. Let v be w(2). Which is bigger: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 5, b: 4, s: 8}. Give prob of picking 1 s and 2 a.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -10*(1\/((-6)\/987) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 365 - 1346 = 0. Let n = -68 - o. Calculate the remainder when 80 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 1. Let f = 11.6 - s. Put 4, 2\/17, f in ascending order.\nAnswer: f, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/8)\/c)\/(c**(-8)*c))\/(c**1*c*c*c*(c*c*c*c**8\/c*c*c)\/c))\/((c*c**(-2\/9)\/c)\/c**(-11))**27 assuming c is positive.\nAnswer: c**(-2391\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145479501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104860228 and 8456470.\nAnswer: 524301140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-242)\/(-4) - 2\/(-4). Let b = i + -46. Calculate the remainder when 55 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46984 is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {g: 1, d: 3, w: 3, x: 2, e: 1, q: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -634525 + 0?\nAnswer: -634525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37204\/1533 + 35\/219. Let b = -1080 - -1105. Is j at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1201 + 1201. Let h = -44 - -41. Sort -2, h, f in decreasing order.\nAnswer: f, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (44 - 44 - (-1 + -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ea4 - -38?\nAnswer: -3e6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let s(l) = -4568099*l**2. Give a(s(b)).\nAnswer: 4568099*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65819, -131631, -197449, -263273, -329103, -394939, -460781?\n\"Answer: -3*d**2 - 65803*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 5 + (3 + 2 - 6)*(0 - 2 + 0) + 3 - 5 + 3 - 8 - 4 - 28)*(-4*k + 4*k + 2*k) as b*k + z and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 72. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*g + 3 + 61*g**5 - 2 + 9*g wrt g?\nAnswer: 1220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97.5, -9, 5, 0.7 in descending order.\nAnswer: 5, 0.7, -9, -97.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/2)\/s)\/s*s)\/((s\/(s\/(s\/(s**(-2\/27)\/s))))\/s))**(-1\/51))**(-28) assuming s is positive.\nAnswer: s**(-70\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - 4.16. Which is the third smallest value? (a) -5 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96196, -192473, -288770, -385093, -481448, -577841, -674278?\nAnswer: -770765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 2)*(0*c**3 + 2*c**3 - 4*c**3) to the form a*c + b*c**2 + d*c**3 + q and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d - 644. List the prime factors of d.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 582.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3 - 9*j**2 + 3*j + 9. Let n(z) = -5*z**3 - 4*z**2 + z + 4. Let t(c) = 9*n(c) - 4*r(c). What is the second derivative of t(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4911 and -4911 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 + 201 = -b. Solve -4*a = -13 + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 27*q + 131. Let t be n(-5). Let g(c) = 4*c + 13. Give g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121349 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(162) - (5 + sqrt(162) + (sqrt(162)*1 - sqrt(162)))) + -6*2*sqrt(162))*4*-4)**2.\nAnswer: 6912000*sqrt(2) + 149459200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-4 - -4))*-1. Factor 0*x + 1\/5*x**n + 1\/5*x**3 + 0.\nAnswer: x**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 18*i - 5. Let g be m(17). Suppose 0 = 3*t - 4*c + 11, c - 20 = -3*t - 2*t. Solve 2*b - 2*k = -k - 4, -g = -t*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 17 = 2*n - 5*p, -2*n - 2*p = -12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 11*p**2 + 6*p + 5. Suppose 94*u = 88*u - 30. Is g(u) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296391 and 66681?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5515272 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 + 2 + 10*i**3 to z + k*i + l*i**2 + q*i**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000298219141 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let k(z) be the second derivative of 7*z**4\/2 - z**3\/6 + 1219*z. Calculate k(b(t)).\nAnswer: 168*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 3, s: 2, j: 3, d: 3, b: 2}. Give prob of sequence gs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 96 = d, 0 = -2*i - 6*d + d + 171. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/72*-12*-3. What is the nearest to -52 in 2, 0.5, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 9*g**4 + 27807*g**3 + 581058*g**2 + 3315060*g + 2761800 = 0.\nAnswer: -9206\/3, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648320 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13938\/35 - -398. Find the common denominator of 47\/105 and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -57*h**2. Let r(n) = 67175 - 67175 + 2*n. What is z(r(s))?\nAnswer: -228*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704557593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j + 18. Let r be k(6). Solve r = -4*f + 3*x + x - 20, 0 = -4*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 41*t**2 - 42*t - 1. Let j be r(42). What is the units digit of (j - 2)\/(111\/(-26566))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 7.3. Let l = 5.7 - x. Is l less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22747 divided by -3.\nAnswer: 22747\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26810 and 18767?\nAnswer: 187670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -10)*(-4)\/76?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1580)\/1896)\/(-3 + 2\/(-1))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let o(j) = -j**2 + 2*j - 14. Let t(f) = 2*i(f) - o(f). Let p be t(0). Suppose -36 - 44 = -2*d - 5*z, -p = -d + 4*z. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-147)\/(-49) + (-2 - 126708\/(-1)))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 4. Suppose -1 = w + 1. Suppose 16 = 2*q - 2*h - 2*h, -5*h + 15 = 0. What is the remainder when q is divided by z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*8*7\/21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -96. Suppose 5*n + a - 226 = 0, a = 5*n + j - 302. What is the remainder when n is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 6*n**3 - n**3 + (2*n - n - 3*n)*(4*n**2 - 2*n**2 - 4*n**2) + 2*n**3 - 5*n**3 + 2*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j*j\/(j\/((j\/(j\/(j**(-1)*j)*j)*j*j)\/j*j))*j*j**(2\/13)\/(j*j*(j\/j**(2\/5))\/j) assuming j is positive.\nAnswer: j**(-224\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1428.21864 to the nearest integer.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 238 and -3546006556686.\nAnswer: -3546006556448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t - 8213*d - 126 = -8214*d, -2*t + d - 27 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*((-3*(-2 + 1 + sqrt(325) + -5*sqrt(325)*1 + -1))**2 + 4).\nAnswer: -46843 - 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -111, -211, -311?\n\"Answer: -100*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from izxps?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 840 or 1?\nAnswer: 840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1852219 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -7 + 38) - (-41 + 30)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2250 and 1662600?\nAnswer: 24939000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oojhoyhyyzy. Give prob of sequence yozz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 32. Let t be c(16). Suppose -t = z - 5*z. Find the second derivative of -z*o + 24*o - 13*o - 28*o**2 wrt o.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540210*p**3 - 12*p - 2267969*p**3 + 12*p - 1434398*p**3.\nAnswer: -3162157*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6 - 11. Let i(m) = m**2 - 2. Let y be i(-2). Suppose 4 = -3*j - j - 5*g, y*g + 12 = j. Solve 9 = -4*z + w*z + 3*q, z - 11 = -j*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 303*k + 289*k + 0 as u + l*k and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 12430963157.56.\nAnswer: 12430963166.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.067594 to 0 decimal places.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 2, r: 9, s: 1, v: 1, l: 6}. What is prob of sequence lr?\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -993, -19055.\nAnswer: -19055, -993, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (1*-3)\/(-1). Is (-234 + (-2)\/p)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k*k**(-3)*k))\/k**(-5\/3))\/((k\/k**(3\/4)*k)\/k**(2\/5)) assuming k is positive.\nAnswer: k**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/5 - 18*c + 176\/5 = 0 for c.\nAnswer: 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866848?\nAnswer: 2, 3, 29863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5578720 or -5578693?\nAnswer: -5578720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(17) + sqrt(17) + sqrt(833))*-2 + (-4*sqrt(85))\/sqrt(5)) + -1.\nAnswer: -1 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*f + 519 = -381, 459 = x + 2*f. Which is smaller: 454 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44023619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 255*q + q**3 + 4*q**2 + 0*q**2 - 3*q**2 - 223*q in the form p*q + s*q**2 + a*q**3 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3*u**2 + 4*u + 2. Suppose j - 29 = -27. What is the least common multiple of t(j) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 11. Let z be i(-4). Let m(w) = -w + 1. Let o(k) = -k + 12. Let p(b) = -2. Let y(u) = -o(u) - 6*p(u). Determine z*m(f) + 5*y(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5478979 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**4\/12 + r**2\/2 - r. Determine o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.58*-55.2\nAnswer: 197.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2856\/7)\/12*-1 - (-1 + -3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23955 is divided by 11976.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 - 12.09. Let z = -7 - g. What is the nearest to -0.1 in -2, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-5))\/f))\/f*f)\/f**(2\/17)*(f*f**0*f)**(-4\/29) assuming f is positive.\nAnswer: f**(-2166\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5, -3\/1484?\nAnswer: -3\/1484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34*(98\/(-5))\/((-52)\/65). Let y = n + -538. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*w**2 + 98*w**2 - 197*w**3 + 3 + 105*w**2 - w + 3 - w in the form z*w**2 + c + d*w + x*w**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 394*c - 81596. Calculate s(-150).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q**3 + 662649*q**2 + 11380728*q + 1878381 = 0.\nAnswer: -17, -1\/6, 36831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (150\/200)\/((-8)\/((-448)\/9))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**3 + 4*a**2 + 3*a + 14. Let y(n) = 13*n**3 - 9*n**2 - 7*n - 29. Give -9*s(p) - 4*y(p).\nAnswer: 2*p**3 + p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsmbxxxsxxbx. What is prob of picking 1 m and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 933593 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 12. Let s be u(6). Suppose 48 = 3*c - s*c. Let h = c + -12. Sort -3, 0, h.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9128334 times -23\nAnswer: -209951682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/((-132)\/2907560))\/(6\/9) - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) + sqrt(600)*-3)*-3 - sqrt(600)) + sqrt(600) + sqrt(600))\/(sqrt(1452)*-5*-4).\nAnswer: 7*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*s = 44928 + 111480. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/6897 - -103457\/13794. Factor -z*t**2 + 0 - 9*t + 3\/2*t**3.\nAnswer: 3*t*(t - 6)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -36*y**2 + y + 186. Let v(h) = -161*h**2 + 3*h + 745. Calculate 2*v(o) - 9*w(o).\nAnswer: 2*o**2 - 3*o - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -222011 (base 3) in base 12?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*v**2 + 414*k**3*v - 11*k**2*v + 79805*k*v**2 + 3*k*v - 3*v**2 - 10 wrt v.\nAnswer: 2*k**3 + 159610*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -1, -3, -2 in decreasing order.\nAnswer: -1, -2, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 98082*s - 588600.\nAnswer: 3*(s - 32700)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 15*v + 9. Let l(s) = -16*s**2 + 79*s - 47. Determine 2*l(c) + 11*t(c).\nAnswer: c**2 - 7*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3495)\/(-8155)*238\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 2. Let v be x(-2). Let k be (-2 - -1)*v\/2. Put -1, -4, k in descending order.\nAnswer: k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, a: 5}. What is prob of sequence aa?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igihiipgo. Give prob of sequence pi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 40. Let o be b(-7). Let u(j) = j**3 - 2*j**2 - 7*j + 3. Let l be u(5). Let a = o + l. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h + 24. Which is the biggest value? (a) 4 (b) -1\/6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 + 7*r**4\/24 + r**3\/6 + 8*r**2. Calculate the remainder when 74 is divided by q(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in years?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25703449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-925248)\/(-1264)*1\/12?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 8*u + 70. Suppose -m + 4 = 3*m. Let t be m\/((-1)\/3) - -10. Calculate q(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34125 by 2625.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 4, 9*n + 5*a = 19*n - 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3\/4 - 80*i**2 + 315*i\/4 = 0. Calculate i.\nAnswer: 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3168 and 396.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16411401.129 - 0.01?\nAnswer: -16411401.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 148665823955890 - -0.4\nAnswer: 148665823955890.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13335 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.82 + 44.975. Round j to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 118. Let j(g) = 10*g. What is x(j(v))?\nAnswer: -100*v**2 - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 576 = -207. Are j and -27 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 10 - 1, -o = 5*h - 27. Suppose 0 = -h*a - 771 + 207. What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56914*-3\nAnswer: -170742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ememeemeee. Give prob of sequence ee.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 0.21, 21, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2034148*n**2*v**2 + 6*n + 97496*v**2 wrt n.\nAnswer: -4068296*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 61925031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 8:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -401*u + 397*u + 16. Solve u*p - 3*p = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1292 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00527958014 to five decimal places.\nAnswer: -0.00528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-4) + -1 + 75. Suppose -3 = 3*k, 3*v - x = k + 310. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59760, 65552, 71346, 77142?\n\"Answer: k**2 + 5789*k + 53970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264676975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 51*s. Put 0.06, 2, -5, s in descending order.\nAnswer: 2, 0.06, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c - -a9d?\nAnswer: b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, s: 5, m: 3, j: 1, w: 1}. Give prob of sequence mws.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 26*j - 222. Let s be t(-19). Which is the closest to s? (a) 3\/5 (b) 1 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6977 + 3267 = -394*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}