diff --git "a/data/dm_maths/full_data/1271_11255.jsonl" "b/data/dm_maths/full_data/1271_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1271_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -6 = 4*k + 5*o, 20 = -3*k - o + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 134 - 2. Suppose 0 = -s + 3 + 98. What is the remainder when s is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*u = 5*c - 354*u + 703*u + 19, 0 = -u + 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/2349 and -68\/271875.\nAnswer: 7340625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -184, -281, -378?\n\"Answer: -97*q - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, u: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150040 is divided by 424?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l + 17 = -5*d - 31*l, 13 + 2 = 5*d + 5*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/8*-2 + -4. Let z = -45 - -50. Suppose 0 = 3*d - 2*d + c - 5, 0 = -z*d + 5*c - 15. Put d, y, -4 in ascending order.\nAnswer: -4, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110891113.\nAnswer: 971, 114203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 8) to base 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9)*0 + -11 + 11. Let i = 7 - 2. Suppose 3*w = 2*w + 6. Solve i*p - 2*p + w = k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81864, -81900, -81996, -82182, -82488?\n\"Answer: -5*b**3 - b - 81858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {b: 2, o: 1, c: 1, r: 1, z: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 99 = 14*k. Let r be (12\/k)\/(-1*(-7)\/(-84)). Let h(c) = 37*c - 4. Let q be h(4). Calculate the highest common factor of r and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from nwnnwnnwww?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 140*u**2 - 117 - 139*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -206, -477, -856, -1343, -1938?\n\"Answer: -54*w**2 - w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252871.\nAnswer: 19, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*r**2 - 28*h**3 + 401*h*r**2 + 1041*h*r + 3*r**2 wrt r?\nAnswer: 8*h**3 + 802*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.2. Suppose 5*p = 6 - 1. Let w be (8\/(-12))\/(p\/(-3)). What is the nearest to b in -1, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115248159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.6 + 36.6. Which is the nearest to 1\/4? (a) p (b) 0.04 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 0.57\nAnswer: 22.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/(4 - 1). Let z = -0.007 - -0.407. Which is the closest to 1\/2? (a) 1\/2 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Suppose 0 = -j*f + 5*f. Which is greater: f or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 10. What is the least common multiple of (-92)\/(-9) - (-2)\/(-9) and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(2\/18*3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*g - 46*g + 10*g + 0*g + 3*g - 4*g + (1 + 2 - 5)*(-3*g + 4*g + g) - g + 2 - 2)*(-g + g + 2*g**3) as s*g**4 + t*g**2 + a*g**3 + z + i*g and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*(sqrt(252) + 1 + sqrt(252)) - sqrt(252)))**2*-3.\nAnswer: -128064 - 4680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(12)*-2) - sqrt(42) - -2*sqrt(42)*-5)\/((((2*sqrt(720) - sqrt(720)) + sqrt(720))\/sqrt(12))\/((-1*sqrt(30))\/sqrt(3) - sqrt(10))).\nAnswer: 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 12697 = 4817. List the prime factors of m.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2458 is divided by 1599?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -972*t + 13603. Let g be j(14). Sort -3, 2, -47, g, 6 in ascending order.\nAnswer: -47, g, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 25690.\nAnswer: 77070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let s = 1 + v. Let m = 3 + s. Which is the biggest value? (a) 0.4 (b) m (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:49 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z\/(z**6*z))))\/z*z*z**(1\/10) assuming z is positive.\nAnswer: z**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -23*y - 1. Let p(n) = 23*n + 2. Let m(g) = -6*c(g) - 5*p(g). Let h be m(4). Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7396 + 7396. Solve 31*n - 26*n - 6 = 2*z, 4*n = w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oww when three letters picked without replacement from {o: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, -226, -1094, -2772, -5530, -9638, -15366?\nAnswer: -22984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0*g**2 - 1\/80*g**5 - 3 - 19\/48*g**4 + 0*g**3 - 5*g. Determine n, given that v(n) = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4088 - -4003.06. Round g to 0 dps.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 + 548*c - 3318. Give t(6).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29314 is divided by 337?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(228)*2*4)\/((-2*sqrt(972) - sqrt(972))*-6))**2.\nAnswer: 7600\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2196\/14274)\/((-35)\/91).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -285*q**2. Let k(a) = -7*a - 3. What is g(k(h))?\nAnswer: -13965*h**2 - 11970*h - 2565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07816 rounded to three decimal places?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1976*s**3 - 731*s**3 - 960*s**3)*(3*s + 2 + 0*s - s).\nAnswer: -7334*s**4 - 7334*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21717 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458554 is divided by 371.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, 5, -6.4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9572343 divided by -17063.\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107568 - 48521. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 236 = 5*w + 293, 5*l = 3*w + 671. Let k(i) = -3*i**2 - 2*i + 16. Let j be k(0). What is the highest common factor of l and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -854*l**5*p**3 - 55*l**4*p**3 + 35482*l**2*p**3 - 2*l**2 wrt l?\nAnswer: -51240*l**2*p**3 - 1320*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3478579676?\nAnswer: 2, 11, 13, 223, 27271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2620 - 2619.5. Which is the third biggest value? (a) -2 (b) -30 (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 4. Calculate p(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k. Let c(w) = -17*w - 4. Let j(x) = -66*x - 15. Let r(f) = -15*c(f) + 4*j(f). What is r(g(d))?\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 20) + 10 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -3*m + n + 5, 0 = 4*m - 4*n + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 - 10*n**3 - 19*n**3.\nAnswer: -34*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 570172013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f)*(1214*f + 37 - 1201*f + 2636).\nAnswer: 26*f**2 + 5346*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595\/187 + 3\/((-66)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114.58 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108298271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18200, 5, 4, -3, 3, 0 in ascending order.\nAnswer: -3, 0, 2, 3, 4, 5, 18200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3, -m - 50*d = -52*d - 10. Suppose 3*x = 8*x - 15. Which is the second biggest value? (a) m (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663 (base 13) to base 7.\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 2. Let h be g(-3). Suppose 3*s + h*v = 0, -2*s - v = -5*v. Let p(j) = j**2 + j + 38. Is p(s) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and ((-215)\/20 + 3 - -7)*-1060.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 10 - (-2 - -9 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/(-40))\/((-7)\/((-560)\/(-8))*-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 4336056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = f - 4*m, 46 = 5*f + 2*m + 39 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byb when three letters picked without replacement from {y: 1, g: 1, b: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*g = 5*g - 30, -x - 4 = -5*g. What is o in -x*o**2 - 3*o + 5*o + 2*o = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 297?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-221)\/(-52) - (-27 - -33 - (0 + 1))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + 2*q - 6. Let i(s) = -3*s**2 + 3*s - 7. Let x(g) = -5*i(g) + 6*z(g). Let k be x(4). Let r = -102 - k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -74, 268.\nAnswer: -74, 3, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -9. Let k be (a + 2 - -2)\/1. Let z = k - -9. What is the remainder when 11 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200618.3 and -13?\nAnswer: 2608037.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*z - 10, 3*k + 36 = 4*z + 31. Which is the third smallest value? (a) 1 (b) k (c) 0.01 (d) 1\/4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8969, 20123, 31257, 42359, 53417, 64419?\nAnswer: 75353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:57 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -4. Let j = d - -3. Differentiate -13 + j + g**2 - 7*g**2 + g**2 with respect to g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 32 - 1516*w**3 + 1535*w**3 + 2*w - 8*w - 5*w**2. Is 34 a factor of g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 560 + -399. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1152 divided by -6\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/6 - 0) + (-2)\/3. Solve 4*c + 3 = -q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(10\/(-12)*486\/2025*5\/(-9))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**2 - 7. Let x(b) = 4 + 0*b**2 - 5 + b**2. Let k(i) = g(i) - 7*x(i). Let n(v) = 7*v**2 + 5*v**2 + 11*v**2 - 21*v**2. Give n(k(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-50))\/(1\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*s - 132 = -87*s. What is the highest common factor of 154 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 611*r + 3*r**2 - 4*r**2 + 14*r**2 + 43*r**3 + 47 - 47 wrt r.\nAnswer: 258*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/30 - (-6)\/(-45). Solve -h + n = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and -0.0984.\nAnswer: 9.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00689988859 to 4 dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 - 7760*j**2 - 8331734*j + 40854453788 = 0. Calculate j.\nAnswer: -2206, 3043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:42 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wywg when four letters picked without replacement from {u: 2, g: 2, a: 3, y: 3, t: 4, w: 2}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 2 - 7*q**2 + 2 + 16*q**2 + 1172*q.\nAnswer: q**2 + 1172*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*r**2 - 195*r**2 - 186*r**2 - 179*r**2 - 70*r**2 + 812*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 256, 214, 100, -122, -488?\n\"Answer: -6*f**3 + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -777, -1842, -3335, -5256, -7605?\nAnswer: -10382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 9*m**2 - 16*m + 14. Calculate a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12615 and 2760.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*b**3 + 153*b**3 - 333*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -19 (b) -9\/4 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1947*s - s**2 + 5*s**2 - s**2 - s**3 - 7932*s.\nAnswer: -s**3 + 3*s**2 - 5985*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59903472, -59903473, -59903474?\n\"Answer: -t - 59903471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - sqrt(1872)*-1 - (sqrt(572)*-1)\/sqrt(11))\/(3*sqrt(4)*-1*5*-4) + 2.\nAnswer: 13*sqrt(13)\/60 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 19*c**4\/4 + 3*c**3\/2 - 5*c**2 - 13*c. Let f be z(-10). What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(-392)\/(-686). Factor b*g**2 + 0 - 4\/7*g.\nAnswer: 2*g*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -21. Is i\/((-1)\/62) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 63*w - 61. Let j be c(-20). Let x = -284 - -14485\/51. Is x less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(0 + 2*m + 0)*(-4 + 4 - m)*(-1886 + 956 + 264).\nAnswer: 2664*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*h = -130*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 159*q**2 + 2*q**3 - 159*q**2 + 7*q**4)*(2 - 4 + 1 + (1 + 2 - 4)*(48 - 14 + 14)).\nAnswer: -343*q**4 - 98*q**3 + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/501 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2317, 1360, -235, -2468, -5339, -8848, -12995?\nAnswer: -17780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-241669374\nAnswer: 120834687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 191*j - 376. Let b be o(2). Let m(w) = 2*w - 7. Calculate m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c00 (base 14) in base 11?\nAnswer: -13156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.6 + 57.1. Let y = 245\/4 - 61. What is the third smallest value in v, -2\/13, -1, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -15\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 4940237.\nAnswer: 4940237.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*(k*k\/(k*(k\/k**(1\/3)*k)\/k))\/k)**(-16)\/((k\/(k*k**0\/k)*k)**(-21)*k\/(k**6*k)*(k**(-5)*k*k)\/k) assuming k is positive.\nAnswer: k**(332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6040 - 6033. Solve -3*v - 2*t = -a, -2*v - 3*v = t - 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f**3 + 1)*(1967 + 173*f - 99*f - 73*f).\nAnswer: -2*f**4 - 3934*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2)\/c*c*(c\/(c\/(c\/c**0))*c)\/c)**(-35) assuming c is positive.\nAnswer: c**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -217 times -38.5\nAnswer: 8354.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/214, -25, -7, 4, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -0.711 (c) 2\/5 (d) -17 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**2 - 155*u - 927. Let o(x) = -11*x**2 - 158*x - 928. Let c(w) = -7*n(w) + 6*o(w). Find the first derivative of c(v) wrt v.\nAnswer: -6*v + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4188639 divided by 322203?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5)\/((-3)\/(-5)). Let v be (6 - -4) + -46 + 32. What is the nearest to v in -0.2, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1133 - 1028. Calculate the highest common divisor of 252 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -21 + 2 - (27 + -38)) + 1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7621968ug to kilograms.\nAnswer: 0.0000000007621968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 2*q**3 - q**3)*(-4*q + 0*q + 6*q + (2*q - 2*q - 2*q)*(2 + 1 + 2) + (-2*q + 0*q - 3*q)*(-4 + 5 + 0) + 3 - 3 - 2*q - 4*q + 3*q + 5*q).\nAnswer: 44*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -127, 12, 6 in decreasing order.\nAnswer: 12, 6, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 602*x + 5. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901679 a multiple of 861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x - 5. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-12)\/7227) - (-6)\/4 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847156077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2, 7.\nAnswer: -2, -1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*(b\/((b**11*b)\/b))\/b)\/(b**3)**(-23) assuming b is positive.\nAnswer: b**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/24 - 7*o**3\/6 + 6*o**2. Calculate l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 53.\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggttgge?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/7 + 8328*h**2\/7 + 99720*h\/7 + 298944\/7 = 0.\nAnswer: -4152, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-4)\/(8\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 4*q**3 - 2*q**3 + 4*q**3 - 4*q**3 + 6*q**3 + (-1 - 2*q + 1)*(3 + 2*q**2 - 3) + 4*q + 7*q**3 - 4*q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837833795?\nAnswer: 5, 167566759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8889, -2074, 4741?\nAnswer: 11556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 6) to base 7\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2\/645, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (504\/189)\/(-3 - 52\/(-12)). Solve -2*l = -v - 11, -28 = -i*v + 6*v - 4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111011011110001001 (base 2) to base 13.\nAnswer: -7940b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120\/79 - 5339\/1738. What is the common denominator of s and -35\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*u + 2*o + 12, 4*u - 12 = 3*o. Suppose -5*v - 2*r + 260 = u, -5*r = -r - 20. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113951 (base 13) in base 3?\nAnswer: 202201201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/(-16) - -4)\/(20145\/544 + -37).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3594211, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, -3, 1 in decreasing order.\nAnswer: 27, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Suppose -d = -u*d. Let g = d + 3. Solve -8 = 3*p - b + 10, -5*p + g*b = 34 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + -0.2. Let n = x - 4.03. Let v = 57448 - 57445. Which is the biggest value? (a) v (b) 2\/3 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 57*n - 525. Let u be x(-51). Which is the second biggest value? (a) 1 (b) 2\/7 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 7.3 (c) -0.1 (d) 41457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47009095 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 + 3270*o**2 - 410445*o + 4112570 = 0. Calculate o.\nAnswer: -763, 11, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**27*p**(-4\/11))\/(p\/(p\/(((p\/p**(-40))\/p)\/p)))**(-5\/19) assuming p is positive.\nAnswer: p**(-3365\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 5*u - 5. Let w = 8 + -10. Let d be g(w). Differentiate -7*l**2 + d - 2 - 4 with respect to l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2370*w - 1. Let x(d) = d**2. Calculate z(x(a)).\nAnswer: -2370*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 79*w**3 - 4*w**2 - 3*w. Let m(i) = i**3 - i**2 - i + 1. Let g(v) = -m(v) + t(v). List the prime factors of g(2).\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 8 + 4. Calculate the smallest common multiple of -12*(-2 - (-8)\/6) and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*x - 449*x + 1815 = -135*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012957808 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 5*p + 1240. What is the greatest common factor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14816.04 millennia?\nAnswer: 148160.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*p**2 - 2*k - 10722162*p**2 + p - 5662625 wrt p?\nAnswer: 2*k*p - 21444324*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 117 and 0.3.\nAnswer: 35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/120 - b**5\/10 - 5*b**4\/24 - 2*b**3\/3 + 2*b**2 + 69*b. Calculate z(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 45. Let w(k) = -13419 - 2*k + 13419. What is w(f(s))?\nAnswer: -6*s - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45357\/308 != 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*h + 21. Let o be 109\/(-15) + 42\/h + 8. Which is bigger: -9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49805.4 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324 + 142. Let z = -90 - a. Let t = z + -93.8. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -132. What is the closest to -2\/3 in -0.1, 0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -723426058 by -2.\nAnswer: 361713029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*12\/(-16)*24\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v)\/v**(-9)*(v*v**(1\/2))**(-5\/8) assuming v is positive.\nAnswer: v**(533\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 289, 504, 837, 1324, 2001, 2904, 4069?\nAnswer: 5532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(12\/13)*r)\/(r*r**3))\/((r\/r**(-5\/9))\/r**17) assuming r is positive.\nAnswer: r**(1798\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111011 + 21012?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+2448156885865\nAnswer: 2448156885865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.8 (b) 1\/4 (c) -576\/5 (d) -4\/3 (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51719862891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-51 + 60) - (0 + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -3\/4, -0.5, 4\/5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 5.8.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909804869?\nAnswer: 3, 7, 313, 96851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - -67 - 82 - (1 + 0 + (2 - 4)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 9. Let t be o(-5). Suppose 2*r + 2*x = 0, 2*r = 4*r + t*x - 6. Is (r\/6)\/(((-18)\/4244)\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -2*x**2 - 2. Let z(r) = -2*r. Let i = -12 - -15. Let m(t) = i*z(t) - 2*s(t). Let j(p) = p**2. Calculate j(m(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12388022*i**2 - 6611260 wrt i.\nAnswer: 24776044*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3015*d - 461. Is o(26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80\/14 + 2\/7. Suppose -3*t - t - 20 = 0, 2*t - 10 = -5*i. Let m = i + a. Calculate the remainder when 18 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**25))\/c)**(-1\/28)*(c*c\/(c\/(c*(c**23*c)\/c)))\/c**(17\/3) assuming c is positive.\nAnswer: c**(851\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-14))\/(-1)*-2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + 35*x - 1. Let j be m(-5). Let k be (j\/(-19))\/(3*-2). What is the closest to -0.1 in -0.07, k, 0.01?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 h, and 1 o when three letters picked without replacement from oxnnfnnoofoofnhf?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*53\/((-2862)\/918).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 27465.\nAnswer: 8\/5493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(0*q**4 + q**4 + 5*q**4)*(-1072 + 45 + 186) to k + u*q**2 + s*q**4 + d*q**3 + j*q and give s.\nAnswer: -10092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b - 46. Let l be r(-7). Suppose -l + 248 = 5*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 3*t + 8*t - 11*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from hohmmhkhhhekwhhkhh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0*u**2 - 7\/20*u**5 + 5\/6*u**3 - 5*u + 0*u**4 + 0. Find the second derivative of z(m) wrt m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and 22\/8595?\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -86, -0.1, -0.03 in ascending order.\nAnswer: -86, -0.1, -0.03, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**3*o**3 - 2*a**3*o + 6*a**2*o**2 - 12*a*o**3 - 1 wrt o?\nAnswer: 24*a**3 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310480724 by 77620181.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10680)\/(-2670)*(-7)\/(35\/18)*5?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drjrrrdjwwrjrjrdjd. Give prob of sequence jj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 9 - 4*j**2 + 44*j**2.\nAnswer: 40*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 28. Let i = -17 + 27. Let g be m(i). Is g + 2 - 9\/(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 0.14, -2\/17, -2 in descending order.\nAnswer: 0.14, -2\/21, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*g. Put 3\/5, -1\/9, g in descending order.\nAnswer: g, 3\/5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) + 522\/(-45). Let y be 9\/z + (-5654787)\/12. Let n = y - -331233. What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 + 824. Calculate the highest common divisor of m and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, -2, -1, 5 in descending order.\nAnswer: 8, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2*1)*0. Let x = 44 + -39. Solve -q + u*q = -x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -4. Suppose p + 7*j + 11 = d*j, 23 = 3*p - 2*j. Suppose -13 = -n - p. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1893*i + 14 = -3*x + 1892*i, 3*x - i + 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 484259102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000349712 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/550 and 31\/350.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-1\/2)))\/v)**12)**(-2\/25)\/(((v**(-4)\/v)\/v*(v**4\/v)\/v)\/(v*v**(1\/3))**27) assuming v is positive.\nAnswer: v**(1012\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 63.768.\nAnswer: 5.10144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 648*n**2 + 23*n - 71. Let m(t) = 324*t**2 + 12*t - 36. Let v(j) = -13*m(j) + 6*y(j). Let s be v(-8). What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 4*d + 4*d)*(-31*d**4 + 51*d**4 + 72*d**4).\nAnswer: -460*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 12*f - 23. Suppose -2*o + 18 = 3*t - 5*o, 15 = 5*o. Let i be z(t). Suppose 0 = -i*q + 4 + 144. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 16 - 20. Let n = c - 13. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2107 + 1051. Let a = b - 679. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 4*i + 13*i**2 + 15*i**2.\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47374 is divided by 724.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -14*s**2 - 173*s + 8. What is y(-12)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 313614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + 212448152956?\nAnswer: 212448152956.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021183426 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 - 0.3. Let v = u + -5.14. Let b = v - -0.140028. Round b to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5.906. Let d = -0.131 + o. Let v = d + 0.0444. What is v rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/4 + 1)*-2. Let o(y) = 232*y + 1851. Let j be o(-8). Put j, n, 5 in decreasing order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/3)*t*t**(-1\/3)*t)\/((t**(1\/8)\/t)\/t**(-5)) assuming t is positive.\nAnswer: t**(-43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.64 - -156.64. Which is the third smallest value? (a) w (b) 7 (c) 1 (d) 1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 5*a + 52, -3*a = -4*b + 132. Suppose -b = -3*f + 4*i, 5*f = -5*i + 19 + 41. Suppose 11*s + 22 = f*s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:54 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/53? (a) 7 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 66*x. Let f(r) be the third derivative of r**5\/60 + 6*r**2 - 6*r. Calculate f(y(j)).\nAnswer: 4356*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-3*(-1*sqrt(18) + 3))**2.\nAnswer: -972*sqrt(2) + 1455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 2. Let n be w(5). Let v be 1 + (n - (-55)\/(-15)). Is -0.2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*u = -54, -2*s + 6*u = 3*u - 31. Solve -2*x = 2*y - s, -4*y - 3*x = -2*x - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40148 + 2*a - 80315 + 40576.\nAnswer: 2*a + 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o + 51*o - 158*o**2 - 26*o.\nAnswer: -158*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 12 = k - 4*j, 2*k - 4*j + 24 = 0. Let n be 222\/(-8) + 3\/k. What is n rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -43190 and 0.4.\nAnswer: -43189.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/4)\/(4\/16). Suppose 0 = t*m - 55 + 16. Calculate the remainder when 24 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 61*y**4\/6 - 8*y**3\/3 - 7*y**2. Does 12 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(7))**2 - (sqrt(7) - sqrt(28)\/(sqrt(4)*1))**2 - (-3*sqrt(7)*-1 + (sqrt(1008)*-2 - sqrt(1008))**2).\nAnswer: -9061 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -36. Let h = p + 7.9. Let c = h + 1.056. What is c rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*-266\nAnswer: -61.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 4*m**3 + 7*m**3 - 1 - 7*m**3 + 1 - 3*m**3 + 3*m**3 - 2*m**3 + 0*m**3 - 4*m**3 + m**3 + (-3*m**3 + m**3 + m**3)*(2 - 2 - 2).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.588468 nanograms?\nAnswer: 0.009588468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15796799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 + -0.22. Let l = p - 10.45. Let t = 2.8 + l. Round t to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 2, -1\/2, 71?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*q + 17, 4*q + 0*q + 5*j + 21 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 37, 58, 83, 112?\n\"Answer: 2*s**2 + 11*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -394*n**2\/15 + 6174*n\/5 - 188\/15 = 0.\nAnswer: 2\/197, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.34 - -4.04. Which is the smallest value? (a) 4 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25460 - -37740. List the prime factors of s.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 6*v + 2*v)*(-50 - 65 + 30) + (2 - 4 + 3)*(13 - 1 - 5)*(-2 + 2 + v).\nAnswer: 177*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 103, 446, 1029, 1852, 2915?\n\"Answer: 120*k**2 - 17*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 + 44.36. Let x = z + 32. Let u = x - 75.9999846. What is u rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66673455?\nAnswer: 3, 5, 73, 60889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-1)*22\/110. Calculate the greatest common divisor of 217 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 11. Let r = j - 6. Suppose 0*y - l - 33 = -4*y, r = 2*y + 3*l - 27. Calculate the remainder when 26 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-30))\/(2\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + u**2 + 5*u**2)*(-22*u - 13*u + 22*u)*(2 - 1 + 1) as l*u**3 + m*u + x*u**2 + w and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.2, 1\/4, 2013\/2, 5, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/20)\/(c\/(c*c**(-5)*c)))\/(c**(6\/7)\/(c\/((c*c**7*c*c*c)\/c)*c)) assuming c is positive.\nAnswer: c**(-1821\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**(-20\/7)\/(((t\/(t\/((t*t**(-2))\/t))*t)\/t)\/t)**15)\/((t**2)**7)**45 assuming t is positive.\nAnswer: t**(-12325\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.220257744 rounded to four decimal places?\nAnswer: -0.2203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3 = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 756 and 40824.\nAnswer: 40824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and 2.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -34706, 0, -840, 3 in ascending order.\nAnswer: -34706, -840, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3) + (1 - 1). Does 17 divide (-17)\/(q\/(-12)*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21840 - 21992 = -19*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81, 155, 223, 285, 341, 391?\n\"Answer: -3*y**2 + 83*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296586124*z**2 + 529529916*z.\nAnswer: 593172248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-42)\/(36288\/180))\/(3\/((-6)\/5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*b - 85, -5*b - 6 - 13 = -2*s. Calculate the least common multiple of s and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.714531 centuries?\nAnswer: 87.14531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.123 * 12\nAnswer: -1.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 35 - 2*k - 3 - k**2.\nAnswer: -k**2 - 2*k + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 - y - 1. Let l(v) = -v**3 - 3*v**2 + v - 1. Let h be l(-3). Let q be u(h). Let k = -57 + q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1847*s**2 + 8*s + 8. Let c(x) = -1231*x**2 + 5*x + 5. Give -8*c(r) + 5*u(r).\nAnswer: 613*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgag. Give prob of sequence gra.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y + 6*y**2 + 8*y. Let p(d) = -d**2 - 1 + 1. What is -3*h(c) - 15*p(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4 + 13*d + 9*d - 20*d. Let l be u(3). Suppose 36 = 2*t + l*t. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.78607 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 3022417510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 - o**2\/2 - o + 84. Let x(u) = -u**3 + 2*u**2 - 2*u - 2. Suppose -6 = 5*k - 1. Give k*x(s) + 2*z(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-3\/22)*(i\/i**0)**(-44))**(-45) assuming i is positive.\nAnswer: i**(43425\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-21 - 29) + 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1032.3 + 1089. Let g = 57 - o. Let c be 2\/4 + (1 - 2). Sort 3, g, c.\nAnswer: c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.49 and 1.7108.\nAnswer: 2.2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 4. Let w = 7 - 6. Let n(t) = 4*t**3 - t**2 - t + 1. Let p be n(w). Determine r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**2 + 6*w. Let x(g) = -19*g**2 + 13*g. What is 9*d(u) - 4*x(u)?\nAnswer: -5*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + l, -5*w = -2*l - 6. Solve -8*z + 3*z = -w*u + 13, -4 = -5*u + 3*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*t = 2*t - 14, 2*r + 2*t - 4 = 0. Which is the nearest to r? (a) -2\/35 (b) 3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827, -3316, -7511, -13412?\nAnswer: -21019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 361869443 and 5?\nAnswer: 1809347215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Let q be t*2 - (-4 - -18). Let b be -1*q\/15*5. Solve 4 = -5*y + b*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 92 = 53*z - 444 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 10. Let i be o(6). Suppose -1984 = 4*d - i*g, -5*d + 2*d = 2*g + 1483. What is the lowest common multiple of 1\/5 - (-4)\/((-100)\/d) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070415 minus 13.4?\nAnswer: -13.329585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1113629 and 66033.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 0.4, -0.1, 5.\nAnswer: -34, -0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-9 - -11 - -5) + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 >= 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(2\/23)*o**(-3)\/o*o**2*o\/(o**(-15\/7)\/o) assuming o is positive.\nAnswer: o**(492\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 175*c + 9666. Determine r(-53).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 18 + 169)*(-209*x - 27*x**2 + 209*x).\nAnswer: -6048*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 - -1160.\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3719*g**2 + 978*g wrt g.\nAnswer: -7438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 3\/8, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -43. Let b = 43 + p. Let d(n) = 3*n**2 + n + 2. What is the units digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let w be u\/1 - (-3 + 1). Put w, 2, 3 in descending order.\nAnswer: w, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**2*v**3 + 4968314*p**2*v + 47217*p**2 + 17*p + 2 wrt v?\nAnswer: 6*p**2*v**2 + 4968314*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 j when four letters picked without replacement from ttjzjdhjj.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224074830 to the nearest integer?\nAnswer: 14969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.801 times 1.2?\nAnswer: 87.3612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 - -68. What is the common denominator of (-10)\/24*l\/(-5) and -33\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403 - -401. Which is the nearest to y? (a) 0.4 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 37.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1355*z. Let o(y) = -y. Determine b(o(d)).\nAnswer: 1355*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 23 - 23 + 17*k in the form v*k + i and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 + 349. Differentiate -12 + 139 - 2*q**2 + r + 15 - 108*q with respect to q.\nAnswer: -4*q - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5 - 39*z - 5.\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -0.03, 2\/7, 3, 2\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2\/(2\/(-1)) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 8. Let v be u(4). Solve 4*j - 4*g + g + v = 0, -3*j - 29 = -5*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6626200 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from mqiihqmmqqhqqimqq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-112)\/(-12)*(-3)\/(-2). Suppose 9 = 17*x - m*x. Solve 4*t = -q, -q - 2*q + x*t - 15 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let y(g) = 0*g**2 - k*g**2 + 0*g**2. Let o(w) = -w - 4*w + 3*w. Determine o(y(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.2 (c) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 <= -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 422837663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 69. Suppose z = 3*b + 4*w - 88, b - 3*b + 68 = 5*w. Let a(g) = 4*g**2 + 3*g. What is the smallest common multiple of a(-2) and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3 + (-71)\/(39050\/(-8500)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 9 = -3*k - 6, -2*k - 10 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 3, -8, -25, -48, -77?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199460, 199462, 199464, 199466, 199468?\nAnswer: 199470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v. Let x be w(1). Let d be (x\/6)\/(-2*1). Suppose -30 = -5*z - 2*g + 1, d = -5*z - 5*g + 40. Solve 8 = z*h + 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, v: 2}. What is prob of sequence vx?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-35)\/15 + 4)*14\/175. Which is the second biggest value? (a) f (b) -6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 19. Let h(y) = 6*y - 6*y + y + 1. Let q(d) = 6*h(d) - s(d). Let u be q(9). Solve 4*w - 21 + u = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6592*h - 6593*h = -4*p + 33, 5*h = -85 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - c - 5, -146*f - 14 = -147*f + 4*c. Solve -3*w = f*u + w + 14, -w = -4*u - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukw. Give prob of picking 3 k and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21236561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874139 and 1654.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9444270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66073.79kg in tonnes?\nAnswer: 66.07379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000788 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:58 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(76) + (sqrt(76) - 3*(sqrt(76) - (sqrt(76) - (2*sqrt(76) - sqrt(76))))))\/((sqrt(484) + sqrt(484)*2 + sqrt(484) + sqrt(484))*5).\nAnswer: 8*sqrt(19)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 24*m**4 + 420*m**3 + 594*m**2 + 293*m + 46. Let r(t) = -48*t**4 - 840*t**3 - 1188*t**2 - 587*t - 91. Let n(l) = -2*r(l) - 5*w(l). Factor n(z).\nAnswer: -3*(z + 16)*(2*z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/((-10)\/(-30)). Let k be 26 + (d - -3) + 2. Solve 4*f - 3*c = 2*c + k, 5*c = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -67987899?\nAnswer: -543903192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 27*d**2 - 21*d + 21*d - 26*d**2. Let c(f) = 6*f**2 - 12. Give c(h(l)).\nAnswer: 6*l**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 37*v**2 + 0*v - 1\/12*v**4 + 0*v**3 + 0. Let b(o) = -2*o**2 + 12 - 4*o - 28 + 16. Give b(f(s)).\nAnswer: -8*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvwvvwwwvvwvvw. Give prob of sequence wv.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d + 20. Let t be l(-15). Let r = 383 - t. Suppose 3*f + 4*z - r = 0, -f - 3*z = f - 101. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)\/(r**7*r))\/(r**(2\/15)*r**(2\/9)) assuming r is positive.\nAnswer: r**(-386\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - j + 3*j + 0*j. Let u(v) = 2*v**2 - v - v**2 - 3*v**2 + 2 - 1. Let t(x) = x**2 - x + 1. Let c(n) = -t(n) + u(n). What is c(k(i))?\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56596\/5 + -11319. Suppose -1\/5*x**5 + 0 + a*x**4 + 0*x + 1\/5*x**3 - 1\/5*x**2 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1278, 2571, 3864?\n\"Answer: 1293*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, 1, -894, -275?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -23*l**3 - 6*l**2 + 7*l - 45. Let u(b) = -20*b**3 - 5*b**2 + 6*b - 44. Calculate -6*h(n) + 7*u(n).\nAnswer: -2*n**3 + n**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72726815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171*w - 533 + 171*w + 5880*w**4 - 850 wrt w?\nAnswer: 23520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715 = -12*m - m. Let y = 69 - m. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 589764.\nAnswer: 2948820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -0.8. Let p = 111.9 + -109. Let a = i + p. Round a to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.4, -0.5, -1.6, -0.4 in decreasing order.\nAnswer: 5.4, -0.4, -0.5, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 26*f + 1. Let r(q) = 3915187 + q - 3915187. What is -l(h) + 4*r(h)?\nAnswer: -22*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-30984231.\nAnswer: 3098423.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-14))\/(21\/((-1470)\/20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -32. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2417 by 33.\nAnswer: 2417\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1465801921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - (-6 - -10) - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + -7.91. Let c = z - -7.99999997. Round c to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3070, -3060, -3026, -2956, -2838, -2660?\n\"Answer: 2*k**3 - 4*k - 3068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.41 and 2139886.\nAnswer: 2139882.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12016 by 7.\nAnswer: -12016\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11.08. Let w = 0.38 - x. Let u = -260 - -264. Which is the biggest value? (a) u (b) w (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:12 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1570095, -3140068, -4710041, -6280014, -7849987?\n\"Answer: -1569973*i - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29112 and 1614503.\nAnswer: 38748072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3*(-1455)\/873.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 19 + 3 = 4*q, 2*c - 18 = -4*q. Is (3\/(-12) - c)\/(3\/72) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 222067, 222090, 222113, 222136, 222159, 222182?\n\"Answer: 23*a + 222044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, q: 2, d: 3, a: 2}. Give prob of sequence dqd.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 4 - 1 - 1. Let z be y(2). Suppose 14 = -p + z*f, p + 4*f - 24 = 2. Solve b = -b - p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from ggiuguigiiuggu.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.437 and -0.3.\nAnswer: -0.1311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 180 = 5*d, -d + 61 = -24*j + 20*j. What is the greatest common factor of 6232 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -120*i + 38 = -82 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -106833*z**2 - 2*z - 106833*z**2 - 10*z**3 + 3 + 213664*z**2 + 27*z**3 in the form o*z**3 + x + d*z + f*z**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 11, -5, -21, 0, 6 in descending order.\nAnswer: 11, 6, 0, -1, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + -c3?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 855*h + 10. Let v be f(4). What is v rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 325?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96356 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: Calculate the highest common divisor of 119 and 5389.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4109 and 54821691?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2057*g**2*z**2 - 9*g**2*z + 3*g**2 + 44*g*z**2 - 20*g*z - 5*g - 13*z**2 + 184*z + 1 wrt z.\nAnswer: 4114*g**2 + 88*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14352 and 1288?\nAnswer: 100464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1413*w**2. Let i(l) = 83395*l. What is i(m(z))?\nAnswer: 117837135*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4672197 to three dps.\nAnswer: 1.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 331 + 329)*(2*u**2 - 2*u**2 + 2*u**4).\nAnswer: 1184*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -3225\/106432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/50160 and -29\/297?\nAnswer: 451440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, 0.2, -0.3, 0 in descending order.\nAnswer: 421, 0.2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4*i)\/(i\/i**(-5))*(i**0)**(-22))**(-3\/8) assuming i is positive.\nAnswer: i**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*d)*(-3279 + 6391 - 3475).\nAnswer: 726*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/(-10))\/(-2)*(-10)\/(-66). Suppose 4\/11 + 2\/11*y**2 - n*y = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (105\/(-45))\/((-70)\/(-120)). Let s(z) be the second derivative of -z**4\/12 + z**2\/2 + 2*z. Calculate s(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 39*u - 1. What are the prime factors of m(8)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d. Let g(s) be the second derivative of -32*s**3 - 2*s - 398. Calculate o(g(r)).\nAnswer: 768*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - 165 - 394 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37703860840*r**3 + 37703860822*r**3 - 4 + 3.\nAnswer: -18*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.61294 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 16*g**3 + 42*g**3 - 351*g**3.\nAnswer: -333*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 5*h**2 + 2*h + 5. Suppose 4*m - 77 = p + 2*p, -57 = -3*m + 3*p. Suppose -3*a - 2*a = -m. Suppose -n - a*n = 25. Determine g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282466 divided by -8?\nAnswer: -141233\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2850 + 3166. Calculate the greatest common divisor of c and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j - 1. What is the remainder when 26 is divided by a(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -11637?\nAnswer: 46548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s - 3*s + 15*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2083372304 < -2083372304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -5 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/480 - 87\/(-120) - 2\/30.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 13*c = -3. Solve -3 = -c*z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36273 is divided by 12089.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1150050 + 553?\nAnswer: 1150633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 250?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-25))\/(2\/20). Solve -z*m - 3 + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -5 + 3 - -3) + 16 + -19.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 240*d - 1757. What is p(7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -725.23 rounded to 0 dps?\nAnswer: -725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -14745*(-2)\/(-20)*(62 + -76)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 22 - 1045\/80. What is the biggest value in 0.01, -0.1, h, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40749, -40790, -40831, -40872, -40913, -40954?\n\"Answer: -41*u - 40708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-176)\/22*(1 - (-69)\/(-24)). Solve 75*f - x = 72*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = s - 1091, 4*r = s + 409 - 1497. Suppose 0 = -4*w - 20, 2*w + 215 = -5*n + s. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from {n: 2, t: 1, f: 1, d: 2, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8) - (-22)\/(-8). Let x be (-4)\/(-8) - (-5)\/s. Let q be (-1416)\/(-30) + x\/10. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-4))\/((-53613)\/(-11914)).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123\/15)\/((-20)\/325)*-1*(-3)\/(-39).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4202 = 4*h - 2*h. Let y = 3320 - h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(2) - sqrt(2)) + 5)**2 + -1.\nAnswer: 90*sqrt(2) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:20 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4113.52 - -156.02. Round k to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 484 in 3, -0.8, 1.5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a factor of 190879480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let p(m) = -4*m + 2. Let n(g) = -1. Let t(b) = -6*n(b) - 3*p(b). What is t(k(c))?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*r - 4*j, -3*r - 4*j - 25 = -103. Suppose -2*x + 0*x + r = 0. Solve -5*u = -x + 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3 = -3*b, -7*b - 5 = -2*b + 4*a. Sort b, -3, -2, 5 in ascending order.\nAnswer: -3, -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15665?\nAnswer: 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2171605 = 4*y - 9*y. Let j = y + 105679. What is j rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 94 = -m, 5*p - 3 - 99 = -3*m. Suppose 77*w - 85*w + 1520 = 0. What is the remainder when w is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z**3 + z - 1. What are the prime factors of r(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 62*i**2. Let f(q) = -13*q**2 - 6*q. Let s(g) = 92*g**2 + 40*g. Let o(y) = -40*f(y) - 6*s(y). Calculate o(v(t)).\nAnswer: -123008*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1893.67558 - -0.42442. Round h to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/548 and 17\/56.\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. What are the prime factors of -3 - d - (-24)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 5, i: 3, z: 3, j: 3}. Give prob of sequence czz.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*o**4 - 59*k**3*o**3 - 25*k**3*o**2 - 987*k**2*o**2 + 118*o**3 wrt o.\nAnswer: -24*k**3*o - 354*k**3 + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.055, -2\/7, 0.09, 11, -9 in decreasing order.\nAnswer: 11, 0.09, 0.055, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.548546 millennia?\nAnswer: 35.48546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -304201 (base 5) to base 12\nAnswer: -58b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-4)\/36 + (-363)\/(-9). Is l > 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226892 - -557775. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3548000 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*-4 + 3.\nAnswer: -20*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 11*f**2 - 12*f - 20. Let r be k(-10). What is the nearest to r in -2\/9, -57, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/19 - 332*k**3 - 4961226*k**2\/19 + 1048456*k - 19945928\/19 = 0. Calculate k.\nAnswer: -1579, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*y - h - 5, 4*h - 20 = -2*y. Suppose 5*l + 3*k = 10, -2*l - 10 = -7*l - y*k. What is the tens digit of (l\/4)\/(1\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d - 2. Let a = 124 - 123. Give u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20186 (base 14) in base 15?\nAnswer: -17cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = -2*t + 2, -4*h = -t + 1. Let c = -6 + 0. Let q be ((-2)\/(-6))\/(2\/c). Sort q, h, 1.\nAnswer: q, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22950 and 40.\nAnswer: 91800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 8*b - 6. Let w be x(6). Suppose 2 = u - 3*i, 0*i = -4*u + 2*i + w. Let y(z) = -z**2 + 4*z + 7. What is the units digit of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 54*h**3 + 2*h - 1. Give i(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 304*b + 304*b - 4*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.12. Let b = j + -0.02. Let d = b - 4.1. What is the smallest value in -1, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8328*a = -8324*a - 14332. Is a equal to 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447727.\nAnswer: 7, 167, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*2\/52*170\/(-425).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6345142 to the power of 1\/2, to the nearest integer?\nAnswer: 2519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/46*(-16)\/18*(-930)\/2480?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 6:40 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2911.9 - 2912. Which is greater: 7\/855 or k?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428 and 2033.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -23. Let g = 201.6 + -202. What is the nearest to m in g, -2\/3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 15110, 1, 0 in ascending order.\nAnswer: -5, 0, 1, 5, 15110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4, 4*a - 12 - 8 = -2*y. Suppose 2*d = 5*i - y, -13 = i - 4*i - d. Solve 3*l = p - 3 + i, -3*p = -3*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.325044 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92136?\nAnswer: 2, 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + (-16)\/24. Let q be 14\/(-18) + (-2)\/(-3). What is the nearest to z in q, 2\/5, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**8\/168 + 31*o**4\/24 - o**3\/3 - 11*o**2. What is the second derivative of d(q) wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 23*x + 80. Let v be t(-4). Suppose -v*j + 7344 = 8*j. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*u - 8 = 0, -4*s + 0*u = 5*u - 35. Let l = s + -15. Suppose 4*z - 3*o + 14 = -o, -2*z = 5*o - 23. Sort l, z, 2 in decreasing order.\nAnswer: 2, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.21 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3294*m - 2 - 3294*m - 89*m**4 wrt m.\nAnswer: -356*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 269*d + 22132. Determine x(335).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107528 and 2.\nAnswer: 107528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {r: 1, c: 1, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 907347 to the power of 1\/2, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 130*v**2 + 262*v - 260. What is q(67)?\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 409075.\nAnswer: 409085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -156180 and -156154 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4345025 and 5755?\nAnswer: 4345025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180301.\nAnswer: 11, 37, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38585, -154332, -347245, -617324?\nAnswer: -964569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -820 less than -1072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131478.4ml to litres.\nAnswer: 131.4784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 287. Let f be (-1)\/3 + (-71)\/3. Let p be (3\/(-6))\/(1\/f). Calculate the greatest common factor of p and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -107, -406, -959, -1844, -3139, -4922, -7271?\nAnswer: -10264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l = 93. Let m = -29 - l. Let w = 112 - 109. Solve 5*u + 12 = w*f, m*u - 1 = 2*f - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 6437.\nAnswer: 45059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseeeeeeesmeeeesssem. Give prob of picking 1 e and 2 s.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, -2572.\nAnswer: -2572, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5)*g)**48)**(-2\/3)\/((g**(2\/7))**(3\/11))**(1\/8) assuming g is positive.\nAnswer: g**(-118287\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**11*q**0)\/(((q*q**(-13)\/q)\/q)\/(q*q**(-7)*q*q)) assuming q is positive.\nAnswer: q**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 79. Suppose -5*k - b = -584, -q*b - 463 = -4*k - 8*b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4579077.\nAnswer: 3, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62667*a - 76*a**3 + 62667*a.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8975 and 7487663?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246361492 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -5) + 10 - 22 - -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -6. Suppose 4*w + 4*h + 8 = 0, -5*w - z = 4*h - 2. Suppose 42 + 26 = 17*u. Solve u*g = w*j - 10, 5*g = -3*j + 3*g - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 6*u - 6. Suppose -3*t - 31 = 7*z - 3*z, 2*z + 4*t = -18. Let x be l(z). Calculate the highest common divisor of x and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = -4*p + 348, 4*o = -p + 80. What is the remainder when p is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -0.276762?\nAnswer: -0.076762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 10*q - 7 - 3*q + 2*q**2. Give j(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 52*s + 511. Calculate q(35).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + c - 4. Let r be n(3). Let z(v) = v**2 - v + 3. Let j be z(0). What are the prime factors of (j + r)*(-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*m + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 626*v**2\/3 + 195938*v\/3 + 61328594\/9.\nAnswer: 2*(v + 313)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) + 160\/120*5\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1bdc6a?\nAnswer: 1bdc68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 32. Suppose -7*v - 4 = -25. Suppose -70 = v*f - 5*c, 0*c + 72 = -2*f - 3*c. Let b be t(f). Solve 0 = 2*s - 2*j - 2, 5*s + 1 = b*j - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by 125?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t. Let f(w) = 37*w. Let a(l) = -f(l) + 2*r(l). Let y(s) = 10*s**2. Give y(a(g)).\nAnswer: 5290*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from mmxxxxmxxxxxxxxmxxxx?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 71*x**4 - 2*x**2 - 4*x + 113. Let v(t) = t**4 - t**2 - t + 2. Let n = 25 + -29. Let m(w) = n*v(w) + g(w). What is the first derivative of m(h) wrt h?\nAnswer: 268*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220215 (base 6) to base 4.\nAnswer: -10130303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 21*o - 30 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.394 + -0.506. Let w = -81.8999623 - u. What is w rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.2, -202, 0.1, 0 in descending order.\nAnswer: 5.2, 0.1, 0, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 115*b**4\/12 - 35*b**2\/2 - 2*b + 26. Find the first derivative of g(s) wrt s.\nAnswer: 230*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(-2 + -2*sqrt(567)) + 4)**2*-4.\nAnswer: -36292 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286704959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 26*d - 183. Let z be o(7). Let n be (-3 - (-1 + 1)) + 1. Which is the closest to z? (a) 2 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2963.6, -4, -1\/6 in descending order.\nAnswer: -1\/6, -4, -2963.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (290\/(-3))\/((8\/(-12))\/1). Suppose 5*o = -4*r + g + 31, 4*o = -r + 44. What is r rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*o**3 + 1182*o**2 - 150*o + 1362?\nAnswer: -690*o + 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -395.058 to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 18, 29, 40, 51, 62?\n\"Answer: 11*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 - 8*d - 13. Let g(n) = 5*n**3 - 31*n**2 - 41*n - 66. Let t(c) = -2*g(c) + 11*m(c). Does 4 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*q**2*v**3*w + 2*q**2*v - 2*q**2 - 2*q*v**2*w - 85*q*w + 223812*v**3*w + v*w + 644*w wrt v.\nAnswer: -672*q**2*w + 1342872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 214, 1\/2, 2\/7, -0.5 in decreasing order.\nAnswer: 214, 1\/2, 2\/7, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/(((t\/t**(-7\/5))\/t)\/t)*t*((t**(-1\/3)*t*t*t)\/t)\/t*t*(t\/(t\/(t**2*t)))\/t)**(1\/11) assuming t is positive.\nAnswer: t**(109\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25884, 51859, 77834, 103809, 129784?\nAnswer: 155759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.65 + 1.15. Which is the nearest to -1? (a) -2\/7 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9808657 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 3, x: 6, r: 2, l: 7}. Give prob of picking 1 x and 1 r.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 + 14*n - 18. Calculate v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(30\/70 - (-8)\/(-84)). Put f, 4, 1, -116 in descending order.\nAnswer: 4, 1, f, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 48 = -4*k. Let t(a) = -a**3 - 15*a**2 + 1. Let s be t(-15). Suppose 0*m + 12 = -f + 3*m, -3*f + 5*m = 20. Solve f = -5*j - s + k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wititiwittiiw. What is prob of sequence twwi?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 - 2*m + 4. Let r be u(-3). Let l = 724 + -742. Let w = l - r. Calculate the greatest common divisor of w and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {h: 6, q: 11, j: 1}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 28 - (-4 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxoololohklllolho. Give prob of picking 1 o, 1 k, and 1 x.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.312617 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11133989?\nAnswer: 89, 125101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9190 = -3*v + 5*u, -5*u = v - 1868. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y = 66*y + 90. Let d(z) = 19*z - 1. Let c(r) = r - 2. Let t be c(3). Let l be d(t). Calculate the greatest common factor of y and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 20*u - 53 + 36 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*w**2 + 51*w - 2067 with respect to w.\nAnswer: 18*w + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 3. Suppose 3*s = -3*q + 18, -t*s = 3*q + s - 21. Suppose 0 = -3*n + 9, 0 = 5*i - q*n - 2*n - 55. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 124355, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1033331 and 1574.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 44*m**2 + 80*m - 158. What is p(-42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16974150 - -46239725. Suppose 5*a - 6*a = -n. Suppose 0 = 4*h - a - 73934425. Round h to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 4125 = 31*n. Suppose -66*s = -61*s - n. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -3\/40*z**6 - z**2 + 16 + 0*z + 0*z**4 + 0*z**3 - 43\/60*z**5. Find the third derivative of n(j) wrt j.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 - 3*f + 1. What is l(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -19*j + 9. Let p(h) = 9*h - 4. What is -6*b(o) - 13*p(o)?\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1312157545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2058509465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - d - 3. Let f(l) = 1 + l - 2*l - 4 + 1 + 2*l**2. Give 2*c(y) - 3*f(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122 or -124?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 4*o**2 - 2*o. Let z be q(-3). Let r = 10600 - 10600. What is the nearest to z in r, -15, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 7*z + 20. Determine r(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -40. Find the second derivative of 2*h + 5*h**2 + 0*h**b - 3*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10767117.72 to the nearest one hundred.\nAnswer: -10767100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.087.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*1*(-18)\/5. Let f be c\/(-15)*10\/3. Which is greater: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -2.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -345*m**5 + 709*m**5 + 762*m**5 + (4*m**5 + 11*m**2 - 11*m**2)*(1 - 5 + 3).\nAnswer: 1122*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:22 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 127905*u - 127900 = 0. Calculate u.\nAnswer: 1, 25580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 19*p - 2*l - 392, 0 = -2*l - 14. Calculate the greatest common divisor of p and 1566.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2466 + 2466 - 1410*s**2 - s to y + h*s**2 + x*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*r = 28*r + 17*r - 1548 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(w**2 + 3*w**2 - 7*w**2) + w**2 - 5*w**2 + 8*w**2 - 5*w**2 + 0*w**2 + 4*w**2 + 3*w**2 + w**2 - 3*w**2 + (-1 + 2 - 4)*(3 - 3 - w**2).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7\/9, -471 in increasing order.\nAnswer: -471, -4, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 + w + 14. Let m be y(0). What is the greatest common divisor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 203 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 757 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 46050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70)*-2*2)\/(sqrt(360)*-2 - sqrt(10)).\nAnswer: 3*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 2:53 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 - 3.3. Which is the nearest to 0? (a) j (b) -4\/3 (c) -6\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 910 and 5440.\nAnswer: 495040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 + 1 = 2*h, -9 = -5*h + j. Suppose 12 = h*q - 0. Suppose -2*t = -5*u + 6 - 20, -3*u = q. Solve -4 + 18 = -t*w + 4*g, 4*w - 2*g = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u - 4. Do -0.1 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221420 rounded to the nearest one thousand?\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-131 + 14*i + 2 + 187)*(-4 + 4 + 2).\nAnswer: -28*i - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -0.5 (b) 3 (c) -34 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdddtdddtddddd. What is prob of picking 1 r and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14880 divided by 62\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 minus -0.4?\nAnswer: -191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 0, -5, -10, -15, -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 - 8*z**2 - 2. Let o(n) = 49*n. Calculate o(i(y)).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140898688 a multiple of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4103, 16401, 36889, 65561, 102411?\n\"Answer: -z**3 + 4101*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134\/9 + 1492\/99. What is the closest to 3\/7 in o, -5, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Let k = -1714660\/9 + 190290. Let m = 228 + k. Which is the third smallest value? (a) -2\/13 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aall when four letters picked without replacement from {l: 4, p: 5, a: 5}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 = 59054*o - 59066*o + 5*d, -84 = 4*o + 6*d for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 9:05 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 8:55 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*u + 5 + 19, 21 = 3*u. Calculate the least common multiple of g and 21402.\nAnswer: 21402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(-1 + 3 + 2)*(3*x + 3*x + 43*x) to the form n + t*x and give t.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-2*-4 - sqrt(112))\/(3*-2*sqrt(4)))\/(-5*((sqrt(64) - (sqrt(64) - (-1*sqrt(64) - sqrt(64) - sqrt(64)))) + sqrt(8)\/sqrt(2)*3 + sqrt(4))).\nAnswer: -7*sqrt(7)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 10 (c) 0.071916\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 0 + (153 - 133) - 14.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63482 - 2b1?\nAnswer: -63773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -1.9 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-4) - 42\/(-56). Let x be y\/(-10) - (3\/5 + -2). Solve 5*z + 2*m = 7, -m + x = 2*z - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 62*f**2 + 73*f + 634. Give z(-63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 343, 690, 1035, 1378, 1719?\n\"Answer: -u**2 + 350*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*c + 68*c - 14 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477 and 45156?\nAnswer: 135468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let s = 1.17 - 11.17. Let n = -9.5 - s. What is the closest to -1 in n, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2553344 and -37\/44883.\nAnswer: 22980096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -903 - -905. What is the first derivative of -11*h**i + 43*h**2 - h + h**2 + 22*h**2 + 24 wrt h?\nAnswer: 110*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008149 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2637137 (base 8) in base 12?\nAnswer: -2b6513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*d + 2 - 21, 1 = d - 3*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (18\/24)\/(5*4\/4*(-1617)\/154)\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4807770395 and 2.18.\nAnswer: 4807770397.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 11*p**6\/30 + 11*p**2\/2 - 11*p. Differentiate z(t) wrt t.\nAnswer: 44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 51. Let n(q) = q + 1. Give n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190492 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2944938, -2944937, -2944936, -2944935?\nAnswer: -2944934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -1\/5, -78 in ascending order.\nAnswer: -78, -1\/5, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2 - 4*l**2 + 5*l**2 - 3*l**4 - 843*l**3 - 5*l - 110 + 843*l**3 + 239*l**5 wrt l?\nAnswer: 4780*l**3 - 36*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/632 and -1\/114076?\nAnswer: 228152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -c + 6*l + 5, c - 5 = 3*l. Suppose -3*h - 698 = -c*o, 3*o + 418 = 6*o - h. List the prime factors of o.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/12 - 283555*l**3\/6 + 80402303797*l**2\/12 + 26801335045*l + 26801524083 = 0.\nAnswer: -2, 283557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1608 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -2 - (-39 - -33). Suppose 3*z + 116 = h + v*z, -228 = -2*h + z. Calculate the greatest common divisor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16242625)\/209)\/(-25) - 4\/(-11).\nAnswer: 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7118 - -7119. Sort -328, v, 1\/7, 5 in decreasing order.\nAnswer: 5, v, 1\/7, -328","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, g: 8, u: 1, r: 5}. What is prob of picking 1 g and 1 v?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570362 (base 8) in base 15?\nAnswer: -1ea719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37394 or 1\/3?\nAnswer: 37394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 886133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**6\/80 + 2*s**2 - 2. Let b(h) be the second derivative of f(h). Factor b(w).\nAnswer: -3*w**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 147066 = 3*g, -g = 4*i - 398510 + 104358. What is the ten thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f**3 + 7*f**2 - 4. Let u(y) = 11*y**3 + 4*y**2 - 3. Calculate -4*n(k) + 7*u(k).\nAnswer: -7*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -27*d**3 - 42*d**2 - 112*d - 206. Calculate a(-3).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a4 + 5a737?\nAnswer: 5a930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(3\/7)\/(((j**(-6\/7)\/j)\/j)\/(j*j**(-2\/5)\/j)) assuming j is positive.\nAnswer: j**(101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -323871*t**4 - 4833900*t**2 wrt t.\nAnswer: -7772904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.228543*-0.4\nAnswer: -0.0914172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3366 rounded to the nearest ten?\nAnswer: -3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*i - 280. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471446552 to the power of 1\/2, to the nearest integer?\nAnswer: 21713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 7*l - 5. Suppose -4*n - 32 = -4*r, 4*r + 8 = -3*n - 16. Let g be a(n). Factor -4*c**3 - 20*c - 2*c**3 + 16*c**2 + 8 + 2*c**g.\nAnswer: -4*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-855)\/6*18560\/23200\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 73. Let c be f(6). Find the third derivative of -19*u**5 - 2 + 2 - 3*u**4 + 2621*u**3 - 2621*u**3 - c*u**2 wrt u.\nAnswer: -1140*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275817824 by 34477228.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 4, d: 10}. What is prob of sequence vdd?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1432453, -1432472, -1432491, -1432510?\n\"Answer: -19*j - 1432434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, -14, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 13 = -g, 2*g + 7 = 3*k - 3*g. Let x be (2\/(2 + k))\/((-3)\/6). Let u(i) = 3*i**2 + x - i**3 - 1 + 0. Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 30\/8. Let m(o) = o**2 - 3*o - 9. Let b be m(6). Suppose 3*c - 15 = b. Calculate the greatest common divisor of j and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 minus 0.431880434149?\nAnswer: -900.431880434149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a**2. Let t(w) = -w - 44*w**2 - w + w + w. Determine t(h(b)).\nAnswer: -3564*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 960 = 6*r. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/2 - (-2 - -4). Suppose 8 = m*p - p. Solve -3*k + p*k + 2 = 0, 3*z + 5 = -4*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + (-1)\/(2 + -1). Let k be x\/6*(-60)\/(-16). Suppose 4*t = -k - 10. Sort 2, -2, t.\nAnswer: t, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/11, 8, -5, -3\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4725887481?\nAnswer: 3, 7, 211, 355517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -538468.91 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/(-12)*9\/(-30). Let u be (-45)\/12 - -3 - 0. What is the nearest to 0 in -5\/3, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.8 + -9. Is c not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 526912020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 2\/7461, 0, 4.2 in descending order.\nAnswer: 4.2, 2\/7461, 0, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101001001101 + 10101011?\nAnswer: 1110101011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 2*m)*(0 + 0 + 2) + m - 5*m + 3*m + 18*m - 1 - 5*m - 12*m.\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o**2 - 6*o**2 + 12*o**2 + (-1 + 1 + 3*o)*(-2*o - 2*o + 3*o) + (0*o - o + 2*o)*(-3*o + o + 0*o) + 0*o**2 - 3*o**2 + 2*o**2 + 3*o - 3*o + o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j + 78*j = -13*j + 1960 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 minus 25089150?\nAnswer: -25089366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 10011100?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 + (-40)\/42. Let z = -14 - -13. What is the second smallest value in v, z, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 8*i - 11 = -3*k, -35 = 5*i - 5*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82\/195 - 4\/15. Which is the third smallest value? (a) l (b) 2\/11 (c) -13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19\/5)*(j\/(j*j**(-3\/16)\/j))\/j assuming j is positive.\nAnswer: j**(-289\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/24 + y**3\/2 + 86*y**2. What is s(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-8 + 0 + 13 + 5 + -12 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.84896 + 0.15104. Let x = -13 - -6. Put -5, g, x in decreasing order.\nAnswer: g, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from nbbeb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*y = 238*y - 156. Suppose 1 + 10 = r. Suppose -y*s = -r*s + x - 71002, x + 70998 = 2*s. Round s to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 o when four letters picked without replacement from {z: 1, b: 2, i: 1, e: 7, o: 3, m: 4}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:06 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -3. Suppose -w + 20 = 5*k, k - 3*w + q*w + 20 = 0. Solve 12 = -3*p + m, 0 = -k*p + 4*m + 6 - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:59 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 27*d + 3. Let u(m) = 2*m**2 - 19*m - 7. Let k(c) = -3*c + 1. Let s(x) = -12*k(x) - u(x). Determine -5*o(i) - 3*s(i).\nAnswer: i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 835379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1895, -7588, -17133, -30530, -47779, -68880, -93833?\nAnswer: -122638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-208)\/39))\/((-78)\/(-16))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k - 5. Suppose -x = 4*y - 9*y - 23, -k = 5*y. Suppose 141*t + 3 = 144*t. Calculate the smallest common multiple of x and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97\/(-1455)*10*1*(-84)\/(-26)\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153.7 - 14.2. Let a = 140 - u. Let s = -0.4 + 0.7. What is the closest to s in -0.4, -5\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = -3*t + 154. Let i = -51 - t. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (8 - 55 - -15 - -15)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 102 in -293, 0.3, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z + 9 = -81*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 781297 divided by -6457\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -39 - h**2 - 10 - 11*h + 26. Let c be f(-4). Solve -2*j + 13 + c = -4*i, -2*j = 2*i + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1858, -1627, -1396?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 3\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -2, 5, 17\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372.2 - -372.5. What is the smallest value in 0.2, 46, p, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83016 by 2306.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + 5*q, 3*i + q = -2*q + 6. Suppose -2*d - 236 = 5*c, 4*c + 0*c - 4*d + 172 = i. Let u = c + 46. Solve a + 3*a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82235 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 9*j**2 - 7*j + 10. Let p be r(-8). Suppose -2*d = -d + p. Suppose -3*m - 4 - 2 = 0. Are m and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5095644 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w. Let p(r) = 5*r - 12. Let d = 271 - 277. Let f(l) = -5*l + 10. Let t(x) = d*f(x) - 5*p(x). Calculate u(t(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, e: 3, f: 1}. What is prob of sequence efe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 2:11 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdl when three letters picked without replacement from {l: 3, u: 2, c: 4, j: 1, d: 2, k: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 9) to base 15.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2771468 is divided by 1385668?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -788 - -787.9. Is f greater than -8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -7)*((-72)\/(-56) + 65\/91).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, 4, -5.\nAnswer: -5, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111010100 (base 2) to base 15.\nAnswer: 2ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.219359 rounded to 1 dp?\nAnswer: -42.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {h: 7, r: 1, o: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iaiaaiiaaiaiiiiaaia.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -93. Suppose -15*p + 8*p + 91 = f. What is the greatest common factor of p and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*m - 37*m - k - 30, 4*m - 3*k = -70. Calculate the common denominator of 9819\/378 - m\/(-14) and 20\/6*(-9)\/132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*m - 10, 2*p - p = -m - 1. Suppose -5*x + 3*c = -277, -2*x + 84 + 31 = 3*c. What is the common denominator of p*6\/x + 1 and -43\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from bbpbbpbpaabpbb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020*k + 192*k = -57512 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1105709, -4422804, -9951295, -17691182?\nAnswer: -27642465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 2*a. Let w = 6 + a. Suppose -5*t + 36 = 4*p - 66, t - 16 = -3*p. Calculate the remainder when t is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5579 + -4?\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 22 + 6 = -4*l, -3*l + s + 5 = 0. Let w be 0\/((1 - l)\/(-1))*1. Solve -10 = 5*z - w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let a(k) = -1620993677*k. Give a(x(h)).\nAnswer: -3241987354*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131181299.\nAnswer: 17, 7716547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*78 + 2 - 3. What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 683 + 83. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4417 and 246669889?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 2. Suppose 0 = 3*x - 2*c - 0*c - 5, 4*x = -2*c + i. Solve 2*a + 19 = -x*m, 5*a - 5*m + 8*m = -25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44837 is divided by 11730.\nAnswer: 9647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*p + 1, 4*a = 4*p + 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1280852, -4, 5 in decreasing order.\nAnswer: 1280852, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0135 and 4.1874.\nAnswer: 0.0565299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 734958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/2)\/(-7)*(1 - 1). Suppose b = -3*i - 9. Let q be (-142)\/27*i + 4\/18. What is the nearest to 0 in q, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2047 - 0.0697. Let r = p - 3.135. Let z = 0.2 - 0.2. Which is the closest to z? (a) 2\/7 (b) r (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/21)*x**(-1)*x*x)**(-13\/2) assuming x is positive.\nAnswer: x**(-286\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 3*b - 2 + b + 0*b. Give g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*h - 15559 - 7275 = 517*h + 25801 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (38 - 18 - 28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170723?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 137733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + (sqrt(1331) - (sqrt(1331) + 0)) + 4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/24417, 1\/4, 1\/2301, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = 4*l - 7. Let p(c) = -3*c - 1. Let g be p(-1). Let s be 2\/(g\/(-4)*l). What is the greatest common factor of 32 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0465 in 58\/7, -3, -2\/11, -3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1251, -1428, -1617, -1824, -2055, -2316, -2613?\nAnswer: -2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2017 - 2008 + 55*x**2 + 4025 as l*x**2 + f*x + s and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Let p be (-3*o)\/(-2) + -3. What is the units digit of (-1 - -7)\/p + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4959047.06559852249732 - -0.06568152249732. Let j = v + 4959054. Let x = 7 - j. What is x rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1)*x)\/x)\/x)**(7\/5)\/(x**17*((x\/x**5)\/x)\/x) assuming x is positive.\nAnswer: x**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 200\/11*r**2 - 18 + 60\/11*r - 60\/11*r**3 - 2\/11*r**4 = 0.\nAnswer: -33, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1183, -12.\nAnswer: -12, 5, 1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g)**(1\/2)\/((g\/(g\/g**(-1\/4)))\/g**(2\/35)))**31 assuming g is positive.\nAnswer: g**(-5177\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 140 = 2*p + 4*f, 3*f - 105 = -2*p. Let b be 12\/p + (-184)\/18. Let n = 62 + b. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(0 - 5 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1258)\/185)\/(-34))\/(2\/(-36))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 9. Let m(p) = -5*p + 4. Let b(g) = 9*g - 7. Let i be 37\/(777\/(-105)) - -10. Calculate i*m(y) + k*b(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -32 (b) -0.25 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-78) + 2*2\/12. Suppose f = 2*x - x - 20. Suppose x = -17*r + 21*r. Solve 0 = -3*l + 6, r*t + l = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0425 minus 0.1?\nAnswer: -0.1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 34 - 14. What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40992 and 1037?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6563, -6556, -6549, -6542, -6535?\n\"Answer: 7*u - 6570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, h: 1, z: 5}. Give prob of picking 3 z and 1 t.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*o - 219*o + 103*o - 852 = 0 for o.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(9 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3385 + 3503. Calculate the greatest common divisor of j and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11136, -3896, 3344, 10584, 17824, 25064?\n\"Answer: 7240*f - 18376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -65. Suppose -3*i = 2*v - d, 4*v = -i - i + 8. Find the third derivative of -50*r**i + 44*r**3 - 44*r**3 - 5*r**6 + 25*r**6 wrt r.\nAnswer: 2400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120100 + 220011?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486421 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829266.\nAnswer: 2, 3, 41, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 1?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 85*g**2. Let k(h) = -720*h - 1120. Let n(x) = -32*x - 50. Let w(i) = 5*k(i) - 112*n(i). Determine w(d(m)).\nAnswer: -1360*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i*p**3 - 3*i*p + 108048*i - 2*p**3 - 4311*p**2 wrt p?\nAnswer: -48*i*p - 12*p - 8622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 2, o: 8, j: 1}. Give prob of picking 1 j and 1 i.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g**(-1)*g)))\/g)**(-9\/2)\/(g\/(g\/(g*g**(-2\/5))*g))**(-9))\/((g\/g**(-1\/5)*g)\/(g\/(g*g\/(g\/g**(1\/3))))*(g**(1\/6)*g)\/g**(2\/7)) assuming g is positive.\nAnswer: g**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 30.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108741698 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 729 = -785. Solve 4*a - u = 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -112.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2895001 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157115, 314227, 471339, 628451, 785563, 942675?\nAnswer: 1099787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -216000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -2.2. Sort 3\/16, -4, s, -0.4.\nAnswer: -4, -0.4, 3\/16, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4682?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 - 7*m**4 + 7*m**4 - 13*m**5 + 4*m**5 + m**5 + (5*m**3 + 0*m**3 - 3*m**3)*(0 + 0 + m**2) + m**5 + 2 - 2 - 6*m**5 + m**5 + 3*m**5.\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 30*x = -5. Suppose -5*t = 3*l - 22, x*t - 2*l + 12 = 7*t. Let q(o) = 7*o - o**3 - 1 + 6*o**t - 6 + 0*o**2. What is q(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12446.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -3*101\/(-105). Let i = l + 51\/140. Let h(g) = g**3 + 2*g**2 + 3*g + 2. Let r be h(-2). What is the nearest to r in -2, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6210)\/(-2415)*63\/261\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 484437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214591 is divided by 214580.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*q - 30. Suppose q*a - 6 = -16. Let k(h) = -11*h**3 + 3*h + 1. Is k(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68493952 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 150*g**2 - 453*g - 914. Determine w(153).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 16*z + 206. Determine r(14).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3\/7, 3\/4, -17056, -156, -0.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 7 + 2*b + 12*b**2 - 7*b + b**3 - 9*b. Let s be j(-13). Let v(q) = q**2 + 4*q + 10. Is v(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -274 divided by 25\nAnswer: -274\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49529431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-20)\/6)\/(4\/(-6))). Let q = -0.01 - -0.01. Which is the second smallest value? (a) q (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 1. Let w(t) = 5*t**2 + t + 3. What is w(r) - 3*z(r)?\nAnswer: 8*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192106213?\nAnswer: 13, 14777401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2309134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esms when four letters picked without replacement from {u: 4, s: 6, e: 2, m: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 303243 (base 8) to base 12\nAnswer: 49a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l**2 - 17*l + 5. Let u(c) = c**2 + c - 1. Determine j(z) + 5*u(z).\nAnswer: -10*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 9616 (c) 0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 37 = 34 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 15 = -5*h + a, -3*h + 5*a = -9. Let m be -2 - (9 + 0)\/h. Let n(c) = -7*c - 2. Let r(y) = y. Give m*r(f) - n(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 1586 = 2*x + 19*r, 2*x + 3*r = 1590. What are the prime factors of x?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142452211?\nAnswer: 3, 773, 923869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(63) + sqrt(63)*-2))\/(sqrt(72)\/(sqrt(8)*-1)) + -1.\nAnswer: -6*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5078198 and 31\/6.\nAnswer: 15234594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-2))\/(15\/40). Let v = h - -47. Suppose -4*g = 2*p - 318, -p + 3*g + 107 + v = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-3*sqrt(55))\/sqrt(5) - sqrt(11) - sqrt(11)) + sqrt(44)\/sqrt(4) + 0)**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/((n**(2\/5)\/n*n)\/n))))\/n)**(-24)*((n**(2\/7)\/n)\/n*n)\/(n**0*n*n) assuming n is positive.\nAnswer: n**(-599\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1155 (base 7) to base 14.\nAnswer: -22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - 1.7. Which is the smallest value? (a) 0.1 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 20*h**2 - 244*h + 4313. Give d(18).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)\/(c\/c**(-1)))\/(c\/((c\/((c**(2\/3)*c)\/c))\/c*c)*c**(2\/19)*c) assuming c is positive.\nAnswer: c**(-259\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4\/5 + 64*t**3\/5 + 96*t**2 + 1024*t\/5 + 704\/5 = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3232507 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {g: 2, c: 1, z: 7}.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/8))\/y)\/y**(2\/5))**49 assuming y is positive.\nAnswer: y**(-1029\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 21.25. Let p = 4 - 6. Let h = l + p. What is h rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29792, -29810, -29850, -29924, -30044, -30222, -30470?\nAnswer: -30800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317685019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwvw when four letters picked without replacement from vnnsnwvsswn.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Suppose t*s = 4*s + 5*f + 2, -s - 2*f - 1 = 0. Let a be 5 + (-1 - s)\/2. Solve 22 = a*u - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(54\/486)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1030 + -13388\/13. Let k = -15 - -14.9. What is the third smallest value in g, 6, k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-223)\/(-13) + (-12)\/78 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1575884, -1575834, -1575754, -1575644?\nAnswer: -1575504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5115886146.\nAnswer: 2, 3, 7, 61, 131, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/13)*h))**31)**25 assuming h is positive.\nAnswer: h**(775\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/7 - 57692*p\/7 = 0.\nAnswer: -28846, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 3*f**4\/4 + 4*f**3\/3 + 2*f**2 + 2*f + 5. Suppose 6 = p - 4*p. What is j(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8895, -8904, -8949, -9048, -9219, -9480, -9849?\n\"Answer: -3*j**3 + 12*j - 8904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394968407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 5*t = -6*d + 16, 5*d + t + 17 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/50 of a tonne in kilograms?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor -11045\/4 - 5\/4*n**2 - 235\/2*n.\nAnswer: -5*(n + 47)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**6\/3 + 16*s**5\/5 + 25*s**4\/2 + 76*s**3\/3 + 28*s**2 + 16*s - 1. Factor b(m).\nAnswer: 2*(m + 1)**2*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100214483 rounded to seven dps?\nAnswer: 0.0010021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0*h**3 + 0 - 8*h - 11\/2*h**2 - 2\/3*h**4. Differentiate b(o) with respect to o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 5444*g - 3704642.\nAnswer: -2*(g + 1361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5549 and 537?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**3 + 7*a**2 - 9*a - 76. What is p(-5)?\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168))\/sqrt(3)*2)\/(-4*(sqrt(648)*2 + sqrt(648))).\nAnswer: sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 17, 28, 41, 56, 73?\n\"Answer: w**2 + 6*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7519 divided by 6.\nAnswer: 7519\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 25 - (-4 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from lruuullrluwrrum?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = 6*n + 4*x, -5*n - 2*x = 28. Let u(k) = k. Calculate u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98)\/539 - 144883\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 14*o + 53 + 8*o + 115 + 6*o + 115.\nAnswer: o**2 + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (5420\/(-335))\/4. Let o = 216\/335 - v. Let u be -1*(4 - 2) - 1. What is the closest to -1 in -1\/3, u, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 1049 + 1862. List the prime factors of j.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 805 - 805 + 530*b + (b - 5*b + 2*b)*(-3 - 1 + 2) to the form o*b + f and give o.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y - y + 12*y)*(4*y - 2*y - y) to the form s + i*y + z*y**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 5.09. Let f = 22 - 16.7. Let u = c - f. What is the smallest value in 3\/2, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 25 = 4*k. Let t be ((-4)\/k)\/((-88)\/154). Which is the biggest value? (a) -2\/17 (b) 2\/19 (c) -2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/3, 15, 3155, 0.4.\nAnswer: -1\/3, 0.4, 0.5, 15, 3155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 277 and 34071.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 3*r**2 - 5*r - 9. Let y be t(-3). Find the second derivative of 117 - 59 - y*s - 57 - 57*s**3 wrt s.\nAnswer: -342*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/72 of a week in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -107. Let u be 670\/8 + (-2)\/(-8). Suppose -3*h = 4*j - u, -g*h + 0*j = 5*j - 49. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 632186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8479591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 - 8*m - 4. Let z be c(-7). Find the second derivative of -4*q + 4*q**z + q - q**3 wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*g = -29, -6*l - 3*g - 24 = -9*l. Solve -5*a - 5*s - 37 = -s, -4*a = -l*s + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92*t**2 + 1103*t**2 + 962*t**2 + 87*t**2)*(35 - 9*t**2 - 35) to the form z*t + v + c*t**3 + d*t**2 + x*t**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whwh when four letters picked without replacement from {i: 2, w: 2, h: 2, z: 1, q: 1, u: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let o(r) = 111899661*r**2. What is d(o(w))?\nAnswer: -223799322*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 90*g**2 - 294*g + 320. What is x(-93)?\nAnswer: 1715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 2*h**2 - 4*h**2 - 5 + 324*h - 330*h + h**4 to the form v*h + g*h**4 + n*h**3 + l*h**2 + m and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/12 + n**3\/6 + 27*n**2\/2 - 2*n. Is 9 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603657947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 202 or -0.1?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 46*w + 88. Let g(a) = -46*a - 88. Let h(z) = -3*g(z) - 4*k(z). Is h(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 16.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 3.88?\nAnswer: 4.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 19*z - 26. Give n(-16).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236.3, -1, 0.09, -0.1, -2\/27.\nAnswer: -1, -0.1, -2\/27, 0.09, 236.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -2a?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from essevsvtecvvevtv. What is prob of picking 1 e and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38 + 196 - 32 - 39 - z**2 - 6*z - 62. Determine k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 13. Let s be g(-10). Let t be 16\/14*s\/(-2). Solve t*w - 6 - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 5*j - 23. Is -17 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from {u: 3, d: 5, b: 1, a: 4, v: 1, k: 4}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c + 0*c)*(2*c**4 + 0*c**4 - 7*c**4) + 257*c**3 + 2*c**2 - 256*c**3 - 3*c**5 - c**5.\nAnswer: -19*c**5 + c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50118859, 50118860, 50118863, 50118868, 50118875?\n\"Answer: w**2 - 2*w + 50118860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s. Let z = -6 + 11. Let j be a(z). Suppose -j = -7*c + 6*c. Solve p = -4*p - c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7853 - -9958. Which is bigger: 2102 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/5287155 and -38\/69.\nAnswer: 121604565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -86166237 rounded to the nearest 1000000?\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55838 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 9. Let u = -5 + o. What is the third derivative of 2*b**3 - b**u - b**3 + b**3 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-36)\/(-10))\/6. Suppose -4*x + 72 = 4*v, 4*v - m*v - 2*x = 15. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659113 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4\/7 - 198*f**3\/7 + 420*f**2 + 1782*f\/7 - 26703\/7 = 0.\nAnswer: -3, 3, 23, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**3 - 7*n**2 + 83. Let r(h) = 7*h**3 + 6*h**2 - 82. What is -6*o(j) - 7*r(j)?\nAnswer: -j**3 + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*t - 11 = 0, 1491993*a - 1491989*a - 4*t - 12 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmhmmmmmnhmmm. What is prob of sequence hmm?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -165, -781, -1851, -3375, -5353, -7785?\n\"Answer: -227*s**2 + 65*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*y = 0, -4*l + 3*l = -y. Solve -6*z + 8*z + 10 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w**3 + 27*w**2 - 8*w - 25. Let u(j) = 7*j**3 - 13*j**2 + 4*j + 12. Let q(h) = -6*c(h) - 13*u(h). What is the least common multiple of 9 and q(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 10341302, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2678100 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 22*w - 59. Suppose 5*o + 8 = -g, -7*g + 5*g = 4*o + 4. Solve g*j = w*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nbnbbnnnnnnn?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15180 - 96\/(-12)) + -2.\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*r - 855 + 2409 = -0*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*t**4 + 15212*t**3 - 5*t**2 + 149676 wrt t.\nAnswer: -576*t + 91272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-4*-3)\/((sqrt(40) + (sqrt(40) - sqrt(1000)))\/sqrt(10)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3))\/f**7)**24 assuming f is positive.\nAnswer: f**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1961, -3909, -5833, -7727, -9585, -11401?\nAnswer: -13169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**3\/3 - 4*u**2 + 5*u - 3. What are the prime factors of n(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:48 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 279951 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 410*v + 122. What is g(1)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 2. Let c be v(-2). Suppose c = w - 6. Let b(z) = -101*z - 273. Calculate the smallest common multiple of b(-3) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -435 - -431. Let x = 29 - 12. Let q = -0.1 - 0. What is the closest to q in 5, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 1700.7.\nAnswer: 25510.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853265743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:28 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 9*g - 49. Suppose g*x + 3*o = 168 + 381, 919 = 5*x + 3*o. Is x a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153283814*v + 15929006 wrt v?\nAnswer: -153283814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 6*n + 56. What is the remainder when 1084 is divided by x(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448\/11 + 984\/11*u**2 + 1336\/11*u - 18\/11*u**3 = 0 for u.\nAnswer: -2\/3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 20*b = 164. Let f = -77 + b. What is the second derivative of -27*k - k**3 + k**3 + 639*k**f - 650*k**5 wrt k?\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - -10. Let c be 8\/36 - (-52)\/9. Let f = 20 - c. Calculate the remainder when m is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*o = 21, -5*r + 4*o + 69 = 2*o. Let w be 18\/27*r + -5. Find n such that 0 + 0*n + 3\/7*n**4 + 2\/7*n**w - 1\/7*n**2 + 0*n**3 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256351*o + 80*o**2 - 4 + 256351*o)*(-2 + 3 - 3).\nAnswer: -160*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhkhk. What is prob of picking 1 h and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80985004?\nAnswer: 2, 41, 493811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1775, -2744, -4353, -6602, -9491?\n\"Answer: -320*g**2 - 9*g - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*p**3 - 46089*p**2 + 91026?\nAnswer: -18*p**2 - 92178*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + (sqrt(448)*2*-2)**2.\nAnswer: 8*sqrt(7) + 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t + 37. What is m(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + -13451?\nAnswer: -13411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 17 = -20, 0 = -o + 4*r + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 4*t**2 + 8*t - 13. Let d be g(5). Factor -6*a**4 - 44*a**d - 31*a + 15*a**3 - 18 + 4*a**4 + 79*a + a**3.\nAnswer: -2*(a - 3)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 6*d - 3. Let w be (1 - (-7)\/35)\/(9\/(-30)). Let a(h) = h**3 + h - 1. Determine w*a(o) + l(o).\nAnswer: -2*o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 30937 + 8193. What are the prime factors of v?\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 2. What is c(20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 2*x - 50 = 0, 5*w - x = -137. Let n = -16 - w. Solve -4*t = -7*t - n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*b + 35 = 0, 3*h - 331 + 321 = 5*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 48.6. Let q = -6 - o. Let w = 14.1 - 14.6. Which is the closest to -0.1? (a) -2 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1128 and 126?\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by -139.\nAnswer: -154\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64244, 64665, 65086, 65507?\nAnswer: 65928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 11*l + 13. Let b be o(10). Let v be 9\/(-10) - 2\/(-5). What is the nearest to v in b, -0.06, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 11*v**2 + 12*v + 5. Let l be m(-12). Suppose l*a = -5*t + 127 + 88, a = -4*t + 181. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-1)\/sqrt(6) + (sqrt(931) - (sqrt(931) + 2)).\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 4487 + 27717. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 + u + 8. Let h be s(-8). Put 4, h, -5 in descending order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 7 = -f, 412*f - 14*b = 407*f + 2 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3 + 262892*r**2 - 1051520*r + 1051504 = 0.\nAnswer: 2, 65719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + 0.04. Let k = -0.2 - h. Let u = -0.2 + 0.1. Which is the closest to u? (a) k (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -46.47\nAnswer: 45.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - r - 181 = 0, 3*r + 175 = 4*s - 0*r. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.44 + 0.24. Let y = 0.28 + -3.28. Let d = y - i. Are 1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441 + 453. Let y(h) = h**2 - 11*h - 18. Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b9 - -55?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 8 + 5)*(0*s**2 - 3*s**2 + 5*s**2)*(3*s**2 - 4*s**2 - 2*s**2) in the form a*s**3 + h*s + d*s**4 + j + g*s**2 and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(432))\/(6*sqrt(363)*2).\nAnswer: sqrt(19)\/1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = 2*w - 0, 4 = 3*w + 2*s. Let d = 28 + -26. Solve d*g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4524625 kilometers in centimeters?\nAnswer: 45246.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*b = 4*b + 1307, -5*b = -15. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 smaller than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 + -1)\/2)\/(-2*(-17 + 16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.84676891 to three dps.\nAnswer: -4.847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2657849?\nAnswer: 1511, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 + j**4 + 2*j**4)*(j + j - 4*j + (-1 + 0 + 2)*(-5 - 5*j + 5) + 2*j + 0*j - j).\nAnswer: 12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Let t(z) = 46*z**2 - 18*z**v - 24*z**2. Let n(k) be the first derivative of -k**3\/3 - 1. Give n(t(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1136135 <= -1136144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 124067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 19*z**2 + 2*z + 36. Let u(m) = m**3 + 19*m**2 - 6*m - 35. Let b(k) = 4*l(k) + 5*u(k). Give b(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/24*l**4 + 3*l**2 + 0*l + 0 + 1\/12*l**3 + 1\/120*l**5. Factor o(y).\nAnswer: (y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -75. Let z be (s\/(-665))\/((-27)\/(-15)). Which is the third biggest value? (a) 3 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 40 = -5*g, 3*g - 2*g + 4*p = -28 + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -871 and 93208668.7.\nAnswer: 93207797.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -440 and -0.1758.\nAnswer: 77.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n - 34 - 4 = 148. Sort 13, 0, n, 3 in ascending order.\nAnswer: n, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46494256 to the nearest integer?\nAnswer: 6819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 9. Let s be n(-9). Is (447\/s)\/(8\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/3))\/(q**3\/q)*q\/(q*((q*q**3*q)\/q)\/q)*q*q*q**(6\/7))**44 assuming q is positive.\nAnswer: q**(-1672\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/66 and -157\/2346?\nAnswer: 25806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igi when three letters picked without replacement from ggiggiggggggiggggg?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35, 5, -1, -7 in decreasing order.\nAnswer: 35, 5, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448965549?\nAnswer: 3, 73, 683357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 + 13*s**2 + 1 - 2*s - 16*s**3 - 2*s**2 + 3 as w*s**2 + f*s + t + l*s**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*s**2 + 101*s**2 + 72*s**2 + 147*s**2.\nAnswer: 385*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 44*s**2. Let v(m) = 19*m**2 + 1. Give v(w(u)).\nAnswer: 36784*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*v**3 + 4\/13*v**2 + 2\/13*v + 0.\nAnswer: 2*v*(v + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3665875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.66 + 8.064. Let i = -0.404 + u. Which is the second smallest value? (a) i (b) -3\/7 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 + 3*l - 1. Let g(s) = s**2 - 3 - 7 - 2*s**2 + 9. Let v(r) = g(r) - o(r). Factor v(a).\nAnswer: 3*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376648.\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 + 49 = -31*k. Suppose 5*m - 16*v = -17*v - 16, -k*v - 2 = -m. What is the closest to 2\/3 in 0.2, -2\/27, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 3*a**5\/20 - 144*a**2 + 3*a - 35. What is the first derivative of r(t) wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2555, 5, -6, -0.2, -28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/10 and 133\/87763776.\nAnswer: 438818880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a millimeter in micrometers?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 72) + (-92 - -9).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1.13 (b) 22 (c) 5 (d) 279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 1\/38*w**4 + 0*w**2 + 9 + 8\/19*w - 2\/19*w**3. Determine g so that f(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 146. Let v be j(38). Let x(g) = g**2 - 5*g - 6. Determine x(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 157a - -3b74?\nAnswer: 51ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-7))\/((-42)\/(-147)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 8*d**2 - 10*d + 14. Calculate the remainder when z(-9) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46848823, 46848819, 46848817, 46848817, 46848819, 46848823?\nAnswer: 46848829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 494, 728, 976, 1238, 1514, 1804?\nAnswer: 2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10112, -11106, -12760, -15074, -18048, -21682?\nAnswer: -25976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 12*v**2 - 2*v - 28. Calculate k(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -3)\/((-4)\/(-16)). Let t = m - -11. Let y be 18\/(-8) - 2\/(-8). Which is greater: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22750)\/75)\/(-13)*-7*(-12)\/70?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/13)*f)\/(f\/(f*f\/f**(-2\/9))))\/(f**(2\/7)*f)**(1\/6))**(36\/5) assuming f is positive.\nAnswer: f**(7082\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*v - v**3 + 3*v**3 + 10*v - v**4 + (-3 - v**3 + 3)*(5*v - 2*v - v).\nAnswer: -3*v**4 + 2*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -23*m + 245*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38 and 27039375.\nAnswer: 27039337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 0. Let q = -2 + z. Let c be (3 + -5)\/((-4)\/10). What is the highest common divisor of c and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 5, 4, 12.\nAnswer: -299, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 5. Let r(u) = -7*u**2 + 5*u - 1. Let z(c) = -6*c**2 + 4*c. Let y(b) = -4*r(b) + 5*z(b). Give -3*i(l) + 4*y(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(475))**2*4.\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453798 < -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -636 - -632. What is the biggest value in -3, -43, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 363*i + 143. Let p be m(10). Let r = 14600 + p. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -239844000 to the nearest 1000000.\nAnswer: -240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -314724472*o**3 - 5*o + 18667008?\nAnswer: -1888346832*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -20*m**4\/3 - 2431*m**2. Let v(u) = -4*u. Give v(d(h)).\nAnswer: 640*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r**4\/r)**(-41\/2)*r*r\/(r**(2\/5)\/r)*((r\/((r**5*r*r)\/r*r))\/r)\/r*(r\/r**1)**(-10) assuming r is positive.\nAnswer: r**(-642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 5307*y - 5320*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) 6414 (d) -19 (e) 3 (f) 0.2 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q**3 - 20 + 20 + 4*q**3 - 6*q**3 + 4*q**3 + q**3 + 2*q**3 - 2*q**3 + (-q**2 - 2*q**2 + q**2)*(4*q - 4*q - 2*q) - 11*q**3 + 25*q**3 - 10*q**3.\nAnswer: 23*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 199 and 36417.\nAnswer: 36417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 594 + -442. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 97736\/1929*1\/(-28)*2. Which is the nearest to -1? (a) 0.1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*52\/(2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**9\/12096 + q**8\/3360 - q**7\/3360 + q**3\/6 - 5*q. Let b(c) be the second derivative of a(c). Suppose b(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83250963?\nAnswer: 3, 3083369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11415330.\nAnswer: 2, 3, 5, 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/4 + 19\/12. Which is the second smallest value? (a) 2 (b) g (c) -846\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*j*v**3 + 2*j*v**2 + 19*j*v + 925*j + 1406*v**3 + v**2 - 90*v wrt v?\nAnswer: 96*j*v + 4*j + 8436*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/57 - 43\/399. Let v(m) = 4*m - 3. Let f be v(5). Let y = f - 49\/3. What is the biggest value in u, y, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 12*l**2 + 13*l + 9. Let u be d(-13). Let w = -26 + 26. Solve -3*k - u - 6 = w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107595697 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.12 + -391.27. What is n rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.1 minus -70334963078?\nAnswer: 70334963107.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 413, 905, 1613, 2549, 3725, 5153?\nAnswer: 6845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Let b be ((-2)\/6)\/(a\/(-276)). Suppose 0*f - 3*f + 6 = 0. Solve 5*s + b = -2*h, -4*s + 5*h - f*h = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -520349.7 and 112890.\nAnswer: -407459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 115, 108, 99, 88?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**2*o + 8*n**2 - 568*n*o + 68*n*r - 20*n + 2*o*r - 2*o - 3 wrt o?\nAnswer: n**2 - 568*n + 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 302 - 287. What is the greatest common factor of 20 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777*y - 3*v + 22686 = -776*y, 22680 = y + v. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 12. Suppose g + 2 = 4*b - 7, p*b + 16 = -4*g. Suppose b = 3*y - 2. Solve 5*i - 6 + y = 5*d, 0 = -5*d + 2*i - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106114058551\/23338 - 4546836. Find the common denominator of r and 63\/4.\nAnswer: 46676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.045.\nAnswer: 0.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -1.3. Suppose -13*c + 18*c + g - 15 = 0, -c - 2*g = -3. Let n = 0.06 + 0.04. Put z, c, n in ascending order.\nAnswer: z, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(448) + 0 + sqrt(448) - ((sqrt(70) + -1*sqrt(70))\/sqrt(10) + 0)**2.\nAnswer: -1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1213482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59552122 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 12*t**2 - 2*t - 15. What is the least common multiple of 24 and v(-12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000146 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 5)*((1 + 1 + 0)*(3 - 3 - 2) + 4 - 5 - 1 - 3 + 4 + 0)*(12*w - 10*w - 3*w) in the form i + n*w and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/3 + 526*a**2\/3 - 10304*a - 165048 = 0.\nAnswer: -13, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - i**2 - 2*i**2. Let p(y) be the first derivative of -3*y**2 - 142. Calculate p(t(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2950000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-8))\/((-102)\/408)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90\/12*(-28)\/(-490)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + r**2 - r. Suppose 2*d = -l + 6, -3*d + 6*l = 2*l + 2. Suppose 0 = d*i - 2 + 4. Let x(p) = 8*p**3 + 6*p**2 - 5*p. What is i*x(u) + 6*g(u)?\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**3 - 7*u**3 - 22 + 73 - 51.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19001483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, j: 4, r: 2, v: 2}. Give prob of sequence jc.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-25)*(-170)\/4. Let f = 1123\/11 + u. Let p = -125 - -126. Which is the nearest to p? (a) -0.3 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -135\/304 (c) -0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3361 - -30190\/9. Calculate the common denominator of u and -19\/69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*g + 1 - 159*g - 165*g - 2 + 476*g.\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from uiccuy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 2*q**2 - 3*q + 1. Let c be v(3). Is (-5)\/(-5)*(c + 126) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5607, 11226, 16871, 22548, 28263?\nAnswer: 34022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 1:30 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.5497.\nAnswer: 0.16491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2db - -2d?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 11. Determine i, given that -39 - 5*i**2 + 12*i - 41 + h*i + 5*i = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 + ((-5590)\/(-420) - 12)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*q + 4 + 50, -3*b + 226 = 11*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + k)*(106*k + 1391 - 1391)*((-3 + 5 + 0)*(-2 + 3 - 2) - 4 + 2 + 1).\nAnswer: -318*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 0.5, -4, 1\/4 in ascending order.\nAnswer: -4, -3\/8, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1270 (base 10) to base 9\nAnswer: -1661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3677552 = -13*i - 4*i - 1238732. Round i to the nearest 1000.\nAnswer: 143000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217434 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 118. Let c = y - 55. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 184 - v**2 + 872 - 623*v.\nAnswer: 2*v**2 - 623*v + 1056","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + 1. Suppose -10 = 4*u - c. What is the greatest common factor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 * -1\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902882?\nAnswer: 2, 451441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 7*x + 1. Let a be w(-7). Find the first derivative of -g**3 - g**3 - 2*g**3 - a wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -12*d + 20. Let c(u) = -4*u + u**3 + d*u**2 - u - u + 4. Determine c(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 1. Let q = r + 41.026. Let z = q - 0.02627. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from krrrrrrkrrrkrrrkkkr?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 4, s + 11 = 3*k. Suppose 0*m - m + 3*j + 8 = 0, -k*j + 24 = 3*m. What is the greatest common divisor of 32 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 40. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -22101?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15906*d**2 - 8245*d**2 - 7661*d**2 + 1162*d**3.\nAnswer: 1162*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (38 - 47) + (0 - 1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*sqrt(112)*4 - 3*sqrt(112)*-1).\nAnswer: -1 + 92*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*k - 10 = 3*k, -5*d + k + 56 = 0. Let h(j) be the second derivative of j**4\/4 - j**3\/3 + j. Calculate the remainder when h(3) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 21 in decreasing order.\nAnswer: 21, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3584 and 28042.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030 = 4*g - 510. Suppose x = -5*k + 6*x + g, 0 = -3*k - 4*x + 245. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o**2 - 63*o + 499. What is y(9)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 9*l**2 - 75*l - 243. What is x(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-9))\/(-11)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323004313 (base 5) to base 14.\nAnswer: 27b43d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1576513 and 75249.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5503 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261.9 - 303. Let j = 41 + s. Do -12 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 1\/3*r**3 - 1\/6*r**4 + 0 + 0*r**5 - 1\/105*r**7 + 0*r - 7*r**2 + 1\/30*r**6. Find g such that c(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*s - 269*s + 4797 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 290\/(-88) - (6\/(-81) - 474\/162) and 94\/(-32) + (-1)\/4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 + 302*s**4 - 15588*s**3 + 293804*s**2 - 984410*s + 705894 = 0. What is s?\nAnswer: 1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111010 + -10001110001?\nAnswer: -110111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55464808 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t**2 - 3*t**3 + 39 - 17 + 20*t + 2*t**3 - 19. Let o be s(-10). Suppose 5*k + 0*k = 10. Calculate the highest common divisor of o and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1186, -1164, -1134, -1096, -1050, -996?\n\"Answer: 4*n**2 + 10*n - 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 97 + 38 = 5*s, 135 = 5*s + d. Let g = -392 + 355. Let q = -34 - g. Which is the second smallest value? (a) s (b) -1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 43*c**2 - 29*c - 34. Does 28 divide x(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3333 and 46\/3333?\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/67? (a) 55 (b) -2 (c) -1 (d) 2 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/47)*n*n**(5\/7))**0)**(-2\/97) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 2. Let v be a(6). Suppose -l - 5*c + 5 = -6*l, -2*l + 5*c + 10 = 0. Let z be 5 + ((-144)\/27)\/(-2)*-3. Put v, z, 0, l in descending order.\nAnswer: 0, z, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37044*j + 79301*j + 53237*j - 16375*j.\nAnswer: 153207*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-684)\/(-39))\/(1188\/(-16)). Let q = z + 2\/143. Which is the closest to 1\/3? (a) q (b) 36 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 43. Suppose 4*y + 3*s = 49, 6*s + 15 = 11*s. Calculate the remainder when (1\/((-4)\/(-63)))\/(y\/40) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(396))\/sqrt(4)*5)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((2 - 0) + 0). Suppose 0 = -r + 3 - j. Factor -2*x**4 + x**2 + r*x**2 + 5 - 7.\nAnswer: -2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 291\/428381 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323.1164 - 323. Let h = -138.1836 - a. Let b = 138 + h. Put 0, -13, -3\/2, b in decreasing order.\nAnswer: 0, b, -3\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*2*sqrt(294))\/(sqrt(24)\/(sqrt(8) - -1*sqrt(8)*4)).\nAnswer: 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*j**5 + 1487*j**4 + 9629*j**2 + 14 wrt j?\nAnswer: -5280*j**2 + 35688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -151*h**6\/60 + 163*h**3\/3 + 130*h**2. What is the derivative of g(b) wrt b?\nAnswer: -906*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 33, -3393 in descending order.\nAnswer: 33, -62, -3393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 423 = 3*n, -10*n + 7*n - 1719 = -16*g. Calculate the remainder when 697 is divided by g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-168)*-1*(6\/(-20))\/(9\/(-90))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(133)*2)\/sqrt(7) - ((-1 + sqrt(304))**2 + sqrt(304)))*5.\nAnswer: -1527 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**2\/2 + 8*d - 2. Let q be l(10). Let i be (-108)\/(-195) - q\/(-5). Which is the closest to 3\/2? (a) i (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 - 20*r - 20. Let i(z) = -2*z + 7. Let p be i(9). Let g(y) = -y**2 + 4*y + 4. Let a(c) = p*g(c) - 2*h(c). Factor a(n).\nAnswer: -(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/3 - 4\/6. Suppose 56 = -4*k - 8. Let a = k + o. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-18)*(-12)\/(-32). What is the closest to 0.1 in 9, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -1 - (102 + 84 + -169)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**3 - 6*g**2 + 2*g + 7. Let f be y(6). Let q = 20661\/8 + f. Let b = -801 + 8805\/11. Calculate the common denominator of q and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2\/3 (c) 2\/13 (d) 2 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2*h + 2. Let p be n(3). Let t(z) be the third derivative of -z**4\/8 - z**2. Let o(j) = -4*j. What is p*o(m) - 7*t(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-20)\/8) + (-6)\/15. Suppose 2*m = -2*s + 1 + 11, 4*m - 31 = 3*s. Put m, j, -3 in decreasing order.\nAnswer: m, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 43*y**2 - 80*y - 53. Give j(41).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7063753?\nAnswer: 31, 191, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*22\/(-24) + (-1)\/(-4). Let n(r) = 3*r + 7. Give n(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72139147 to the power of 1\/2, to the nearest integer?\nAnswer: 8493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 5\/4 - 2233\/(-44). Let k be y\/25 + 0 + 0\/(-2). Suppose -g - 4*v - 3559998 = -2*v, -3560002 = g - k*v. What is g rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j - 13*j - 20*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjoobozzlljffoj. Give prob of sequence jbol.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535465, -535466, -535467, -535468?\nAnswer: -535469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*h + 43 = 0, z - 4*h - 32 = 11. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -405, -638, -869, -1098, -1325, -1550?\n\"Answer: m**2 - 236*m - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 41*s - 357*s + 0)*(6*s**2 + 9*s**2 - 6*s**2).\nAnswer: -2844*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1111000?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 18 = -u - 27*r, -6 + 3 = r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35208 + -1056083\/30. Calculate the common denominator of i and -47\/1180.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16102571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0 + 11 - (91 + -87) and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-10))\/((-10)\/25). Let s(h) = h**2 - 2*h - 3. Let n be s(r). Suppose -64 - 45 = -4*k - w, -n*k + 125 = 5*w. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 255 + 258. Let f(b) = -63*b - 9. Let z be f(-6). Suppose -5*c + 5*o = -3*c - 218, p*c + 3*o = z. What are the prime factors of c?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.017 - 0.099. Let q = -0.148 - j. Round q to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20009 >= -20010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3263*m + 1103*m - 6 + 1096*m + 1103*m + 119. Let z(a) = -a. Calculate r(z(s)).\nAnswer: -39*s + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23600653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 + 436 + 174\/(-56)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17417 in -1\/5, 9, -2, 3, 1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 775111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3, 34, -23, -2 in increasing order.\nAnswer: -23, -4, -2, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15043 = 2*z + 8157. Round z to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/4 + (-51)\/34. Let o = 22 - 14. Let t = v - o. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-55)\/132\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10182.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1476, 3, -1, 0, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45669183*m**5 - 3*m**4 + 162216737*m wrt m.\nAnswer: 913383660*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 496*n. Let h(b) be the first derivative of b**4\/12 - 46*b - 288. Let f(g) be the first derivative of h(g). Determine u(f(c)).\nAnswer: 496*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:49 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - (3 - 2))*7 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*y - 200 = 132 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1035157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by 5\nAnswer: 276\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174.1*52.\nAnswer: 9053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5273908 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 45.5.\nAnswer: -682.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101104 (base 5) to base 14.\nAnswer: -12a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.768781 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, -0.15, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40799064 and 65284?\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5888\/6853 + 2\/979. Let s = 11\/76 + 2\/19. Which is the closest to -5? (a) -2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 - 246396*q**2 + 2464260*q - 6160900 = 0.\nAnswer: -61609, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115497 is divided by 6239?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5779*d**4*u - 2*d**3*u**3 - 22122*d*u**3 + d*u wrt d?\nAnswer: -69348*d**2*u - 12*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 246319597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -363*z**7\/5 + 1034*z**6\/25 + 7331*z**5\/50 - 1547*z**4\/15 + 292*z**3\/15 - 8*z**2\/5 + 2*z + 2. Find x, given that a(x) = 0.\nAnswer: -1, 2\/33, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 155*l**2\/4 + 307*l\/4 - 153\/4.\nAnswer: (l - 153)*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36461.51 and 1.3.\nAnswer: -47399.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*w + 290, 2*w - 2*u = 474 - 160. Calculate the greatest common factor of 867 and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12839 * 188.\nAnswer: 2413732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39.7336693 and -0.2.\nAnswer: 7.94673386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 96111?\nAnswer: 14\/96111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104335\/6 + -17392. Let z = -3.3 + 0.3. Which is the biggest value? (a) 3 (b) z (c) -4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.90614 + 5\nAnswer: 10.90614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/75125 and 87\/50.\nAnswer: 150250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 2*t**3\/3 - 26*t**2 + 23*t. Let m be w(-19). Let h = m + 260. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 55 = 14*u. Suppose 7*c = -u + 39. Solve 4*t + c = -4*o, -3*o - 2*o + 5*t - 35 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11)*1 - (-1 + sqrt(11) + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21013300420 + 3?\nAnswer: -21013300412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82.8 and -3?\nAnswer: -248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 162 = -10*l + 26*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371*n**3 + 21968*n**2 + 195064174*n?\nAnswer: 2226*n + 43936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:43 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3163, -7949, -14401, -22519?\nAnswer: -32303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87384 divided by 44.\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 188. Suppose s*q - 55 = -2*n, -12*n - 13 = -2*q - 11*n. Solve q = -2*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 44 - (0 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3*m)*(0 - 6 + 1) + (2 + 4 + 1)*(-5*m + 3*m + 3*m) + (-3 + 2 - 1)*(-2*m - 1 + 1) to the form l*m + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19819 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z - 3839998 = -4*c, -4*c - z = -3840001. What is c rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 136 = y, 0 = -8*h + 21*y - 16*y - 211 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**47\/(z**(3\/2)*z**(-10)) assuming z is positive.\nAnswer: z**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*v - 64, -h - 2*v = v - 9. Let c = 26 - h. Suppose r + c = 26. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44734576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k + 3. Give l(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 6*t - 30. Suppose -2*c + t*d = -4*c + 13, d + 14 = c. Solve -2*j = c - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 4. Let h be w(6). Is (12291 + -5)\/h*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 33 = a. Calculate the common denominator of ((-12)\/30)\/((-20)\/1225) and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*c*j**2 - 5*c*j - 2*j**2 - 456*j wrt c.\nAnswer: 52*j**2 - 5*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.2 - -6.1. Which is the closest to k? (a) -1 (b) 2.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -80. Suppose 3*l = 9, 6*i = 3*i - 2*l + 111. Suppose 5*f - 155 = -i. What is the highest common factor of f and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 458\/8 - (-2)\/(-8). Let i = f + -32. Solve 0*q + i = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 3. Let i be d(-5). Suppose -2*t + i = 0, -5*u + 158 = 5*t - 102. What is the greatest common factor of 144 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p - 24. Calculate x(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 37361*h - 45534*h - 2.\nAnswer: -82895*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**4\/2 + 34*z**3 + 147*z**2\/2 + 20*z - 22 = 0.\nAnswer: -11, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -24*d**2. Let z(y) = -847*y + 1. Determine i(z(b)).\nAnswer: -17217816*b**2 + 40656*b - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43070.\nAnswer: 2, 5, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - 2\/7. Let q be (1\/2)\/((-1)\/(-24)). Suppose -23 = -2*i - 5*b, 0*b + q = 4*b. Put i, t, 2 in descending order.\nAnswer: i, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 6. Let z be (-67)\/(-13) + (-20)\/130. Suppose 0 = z*c + 41 - 6. Let w(l) = 4*l - 5. Determine c*w(p) - 6*v(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104101, 207675, 311249?\n\"Answer: 103574*d + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-144)\/720)\/((-16)\/20). Factor -u*c**3 + 0*c**2 + 3\/4*c - 1\/2.\nAnswer: -(c - 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 3*f**2 + 3*f + 7. Let s be k(-2). Let j(v) = -v**3 + 7*v**2 + 8*v + 11. Let h be j(8). Suppose -h = -3*q - s. Solve d + q*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -128 in increasing order.\nAnswer: -128, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 4:20 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5292 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -769 + 793. Solve -2 = -23*d + r*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 15 + -15 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 25*z**4 + 3135*z**3 + 1225*z**2 - 3135*z - 1250 = 0.\nAnswer: -125, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*v - 319 + 760 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z - 73*z - 17 = -35*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2. Let y(l) = 811*l. Calculate k(y(i)).\nAnswer: -1973163*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1112 - 1466 + 916)*(5 + 2*p - 5) + p + 0*p + p - p + p - 2*p.\nAnswer: -3324*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 - 564*r**4 - 17200*r**3 + 75696*r**2 - 78016*r = 0.\nAnswer: -92, -53, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11698 - 11538. What is the remainder when r is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -223 + 755518618506\nAnswer: 755518618283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 139284 = 8*m + 139500, m + 2*p = 98 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4801, -16262, -35391, -62188?\nAnswer: -96653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 8065914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.11 + -1545966.1.\nAnswer: -1545964.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(78*v - 36*v - 40*v - 28 - 2*v**2)*(-2*v**2 - 7*v**2 + 16*v**2) as k*v + z*v**2 + r + f*v**3 + n*v**4 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 10. Let a be o(-8). Suppose 0 = a*r - r. Let d(l) = -l**3 - 3*l**2 + 4*l + 5. Let u be d(-4). Solve q + r = -u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139.9861 + -0.0139. Let k = a + 142. Is -166 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03383 - -4.03383. Which is the nearest to 0.2? (a) x (b) 0.2 (c) 0.058\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67930514*k**3 + 304*k**2 - 10*k - 1144 wrt k.\nAnswer: 407583084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13685159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 21*b**2 + 46*b + 5. Let t be k(23). Calculate the greatest common divisor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 22*y + 5. Let r be a(15). What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*r - 1022 = 0, 4*d - 2*d - 2*r - 680 = 0. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1248 - 5215\/4. Let k = 56 + f. Is 1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30514 and 2520958.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5424 - -10947. Which is smaller: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 10.1. Let d = k - -0.5. Which is the nearest to 1\/3? (a) 4 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 81 = 39. Suppose 4*t + u = 3*t + 7, 4*u = -2*t + n. Suppose h + 0*h + 4*g = 3, t*h + 5*g = 18. Is h 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 -1\/5, 1\/4, 10768, 0.4?\nAnswer: 10768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72026633 is divided by 256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16538867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 - 1080*u**4 - 4360*u**3 - 6560*u**2 - 4380*u - 1096 = 0.\nAnswer: -1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 19*j + 8. Let n be k(-13). Let f be (n - 0)*1\/2*-2. What is the greatest common divisor of f and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = -5*g, -4*f + 0 = -2*g - 24. What is the second derivative of -18 - 41*c - f + 22 - 20*c**3 wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 261)*(0 - -1). Let g = t - -355. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*s - 9*s + 6622 + 1309 for s.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0239 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 32824 - 9376. List the prime factors of d.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*364.\nAnswer: 6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 2168 (c) 48 (d) 20 (e) -0.03 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 109.4?\nAnswer: -108.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 + 5\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4 and 11864\/1840 + -3 + (2 - 5)?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431121288 divided by 79528.\nAnswer: -5421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -1\/2*q**3 + 8*q - 3\/2*q**2 + 0. Let f be n(-2). Solve f*h - 7*h = -12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 57 (b) 5 (c) 1\/3 (d) 3\/8 (e) 20 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(245)\/(sqrt(5) - sqrt(80)))\/(sqrt(1008) + 6*(sqrt(1008) - sqrt(1008)*2) + sqrt(1008) - ((-2*sqrt(1008) + sqrt(1008))*1 - sqrt(1008))).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g**3 - g**2 + 2*g - 1. Let o be j(1). Put 2, 23, o in decreasing order.\nAnswer: 23, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h. Does 5 divide (h + -2*1)\/(18\/(-531))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:54 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (142\/(-568))\/((10\/(-64))\/(-5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 1, g: 2, e: 1, f: 1}. Give prob of picking 2 s and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8640 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -471*v + 2358. Let z be t(5). Solve y + 2 = f + 1, 4*f = -z*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -47. Calculate the lowest common multiple of w and 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 4910*u**3 + 6017196*u**2 - 24132654*u + 18110547.\nAnswer: (u - 3)*(u - 1)*(u + 2457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(630)*2)\/((sqrt(10) + (-3*sqrt(110))\/sqrt(11))*6))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60995818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1587915 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36514 + 2811616\/77. What is the common denominator of z and 18\/121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**5 + 10548*z**4 + 7610076*z**3 + 865008668*z**2 + 26483207520*z - 27355836816 = 0?\nAnswer: -1253, -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5))**(-10))**(-50)*(g*g\/g**(4\/7)*g\/g**6)\/(g**(-1))**(6\/5) assuming g is positive.\nAnswer: g**(24417\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-10)\/(2\/1) - 1). Suppose 4*r + 2 = -5*o, r = y*o - 0*o - 7. Solve o*n + 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24288.8 micrometers to centimeters.\nAnswer: 2.42888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05764 rounded to three dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 24*s - 3. Let y be 4 + 22 + -3 + 1. Let h be i(y). Let x(c) = 32*c - 27. Let n be x(1). Sort n, -4, h.\nAnswer: -4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 - -1)*225\/400.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 41 + 13 = 0. Sort -4, -21, 4, z.\nAnswer: -21, -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -2\/3 (c) -3\/14 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(7)*1 + -5 + 4 - (0 + sqrt(7) + -4*(-2 + sqrt(7)) + sqrt(7) + 5)**2.\nAnswer: -198 + 58*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 j when four letters picked without replacement from {t: 3, x: 4, j: 3, d: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 7*t**2 - 34*t**2 + 3*t**2 + 10*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 3*d + 90 = 0. Which is the second biggest value? (a) -3 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102124 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58248 times 5\nAnswer: -291240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(60\/4))\/((-51)\/15).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755 + 745 - 1500 + 565*y**2 - 2*y.\nAnswer: 565*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 - g - 1. Let w be x(-2). Let o = -1766 - -14105\/8. Calculate the common denominator of ((-3)\/w)\/((-4)\/(-54)) and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s**2 - 2*s + 32. Let w = -39 + 39. List the prime factors of k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(0*u + 4*u - 5*u) - 5*u + 7*u - 16*u)*(-2 + 0 + 0).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -72.037. Let r = 6.231 + -6.4. Let s = m + r. Round s to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 6*h**2 + 46*h**2 in the form x*h**2 + n*h + w and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*k - 11 = 0, 3*y - 2*k - 12 - 21 = 0. Solve y + 17 = -7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(133)*-1)\/(-6*-1*sqrt(7)) - 3*(sqrt(19) + (sqrt(304)*-2)**2 + 4).\nAnswer: -3660 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 179*s**2 - 537*s - 35628. What is r(183)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*d**6 - 375*d**3*f**2 + 12*d**2*f**2 + 47*f wrt d?\nAnswer: -8040*d**3 - 2250*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559206 is divided by 549?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3855 or 3856?\nAnswer: 3855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 15.07 and -532.72.\nAnswer: -517.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f, 5*r - 2*f - 34 - 47 = 0. Suppose r*i - 60 = 5*i. Are i and 0.03 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -2*s + 8, 0 = 2*l - 5*s - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005453 rounded to 5 dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let o(y) be the first derivative of -17*y**3\/3 - 5. What is t(o(w))?\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-49)*(7 + (-140)\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from ewglhgp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/348)\/((-18)\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 25 = -16. Let b be p\/5 - (-18)\/30. Factor 2\/5 - 4\/5*o**3 + 2\/5*o**5 - 4\/5*o**2 + b*o + 2\/5*o**4.\nAnswer: 2*(o - 1)**2*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -2\/9, -2\/15 in descending order.\nAnswer: -2\/15, -2\/9, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(45\/(-4224)) + 9\/(-3). Suppose -6*b + 2561 = -f. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/51459 and -151\/12580212.\nAnswer: 213863604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 41*f + 593. Let s be w(-12). Solve 33*d + s = -130 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 3 + 206*j + 8 + 1710*j to the form m*j + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:05 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 + 3.6. Which is the biggest value? (a) o (b) -1 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*3*-3.\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 642 - 641. What is the tens digit of (-4 + v + 3)\/(-1) + 727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*p - 293*p - 164*p = -129*p + 48081 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 1, g: 1, o: 2, w: 2}. Give prob of sequence wdr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - u**2 + 0*u**2 + (5*u - 5*u + 7*u)*(-3*u - u + 3*u) + (2 + 1 - 2)*(-u**2 + 0*u**2 - u**2).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 14 = 15*h. Suppose 0 = -h*o - 33 + 1636. What are the prime factors of o?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1558 (base 11) to base 10.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 421*f**2*k*n**3 + 2*f**2*k*n**2 - 35*f**2*k*n + 6*f**2*k - 104*f**2*n + 4*f + 889*n**3 - 2*n**2 wrt n.\nAnswer: 2526*f**2*k + 5334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-12)\/4)*2\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127.6 - 0.8.\nAnswer: -128.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/5)\/((-16)\/10). Let l = -8\/21 - -5\/21. Let m = 0.4 - 0.4. What is the second smallest value in l, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (193\/(44776\/348))\/(6\/(-176))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 a, and 1 u when four letters picked without replacement from nuaaun.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 21*w + 20 + (1 + 2 - 1)*(0 + 0 + 2*w) - 128 - 25*w + 128 to the form z + v*w and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -250 and -67787.\nAnswer: 16946750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 593\/4 - 148. Suppose 0*p + 4*p = -4*c + 32, 2*c - 28 = -5*p. What is the fourth smallest value in z, 3, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 + -1.1. Sort m, 3, 1\/4.\nAnswer: m, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/9)\/(1034\/18612)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14773949 smaller than -14773949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13578 and 3066.\nAnswer: 95046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99169 - -99171. Suppose -3*h - 28 = -0*u + u, 0 = -u + 2. Let c be (h - 0)\/(-2 - 0). Solve 5*t = x*f - 20, -c*f + f = -5*t - 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*q - 4*q. Suppose q - 13 = 4*t. Let k(p) be the third derivative of -p**6\/120 - p**5\/30 - p**4\/24 - p**3\/2 + p**2. Give k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 3:30 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -8. Suppose o*i + 74 = 309. Suppose i = 3*k + k + d, 2*d = -2. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4802 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 + 3*o + 29. Determine m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Let r be 24\/144 - (-10)\/((-2100)\/(-3715)). Factor 16\/7*v**3 + r + 90\/7*v**b + 200\/7*v + 1\/7*v**4.\nAnswer: (v + 1)*(v + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.94 + -0.06. Let y = -13.00062 - n. Round y to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 23*x**2 - 14*x - 22. Let w be s(-12). Suppose 7*i = w*i + i. Solve i = -4*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60384 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - -1.088. Let t = -112.892 - u. Let o = -105 - t. What is o rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27*c**3 - 2*c. Let g(v) = -136*v**3 + v**2 - 10*v. Let w = 2997 - 3008. Give w*f(y) + 2*g(y).\nAnswer: 25*y**3 + 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1716, 3494, 5212, 6870, 8468, 10006, 11484?\nAnswer: 12902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**3 + 12*h**2 + 83*h - 10. Let x(o) = 9*o**3 - 17*o**2 - 125*o + 14. Give -7*n(l) - 5*x(l).\nAnswer: -3*l**3 + l**2 + 44*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + sqrt(500))*-6)*3.\nAnswer: -180*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3299993602 rounded to 4 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 20. Let a be 6\/9 - (-494)\/114. Solve a*x + w = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 83*n + 225. Let a(i) = -i**2 - 55*i - 150. Let u(c) = -7*a(c) - 5*w(c). Factor u(v).\nAnswer: -3*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157090, -628414, -1413954, -2513710?\nAnswer: -3927682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 13*x**2 + 12*x + 5. Let o be n(-12). Let p(h) be the third derivative of 14*h**2 + 0*h - 7\/6*h**3 + 1\/24*h**4 + 0. Give p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 6*c + 1. Suppose 3*w = 3*l - 6, 4*l - 20 = l - 4*w. Let q be h(l). What is the hundreds digit of q\/6*(-808)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674\/7 - 96. Let w = 538 - 538.11. What is the biggest value in -1, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1922 - 12246 = -117*o + 425*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(6\/12)\/1*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 114 = -3*o + 30, -5*o = 3*y - 108. Find the first derivative of -y - 1 + 29*u + 53*u wrt u.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 3*d + d)*(-d + d + 2*d) + 4 + d**2 - 4 + d**2 + 0*d**2 + d**2 + (-3*d - 5*d + 2*d)*(-2*d + 0*d + d) as g + x*d**2 + a*d and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9 - 22) + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-9))**13\/(r**(-1\/22))**34 assuming r is positive.\nAnswer: r**(-984\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-50))\/(153\/5525)*6*1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 99*q**2 + 3*q - 36. Let k(d) = 98*d**2 + 4*d - 48. Let l(n) = -4*h(n) + 3*k(n). Let j(y) = -10*y. Calculate l(j(c)).\nAnswer: -10200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/21))**28\/(v**(-5\/3)*v\/v**(1\/3)*v) assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, o: 7}. What is prob of picking 1 r and 3 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 131. Suppose -257 = 2*i - 6*i + 5*s, -133 = -2*i + s. Let q = i - j. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 21 = l. Let a(r) = 2*r - 15. Let m be a(l). Is 0.1 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(7\/2)\/i**(-11) assuming i is positive.\nAnswer: i**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduiiimwuidiwiw. What is prob of sequence mi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7731 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hysooodo. What is prob of sequence odh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 427085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 4*t**2 + 5. Let h be 510\/119 - (-5)\/(70\/(-4)). Determine v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - q + 8. Let b be c(-3). Let j(d) = 5*d**2 - 8*d + 30. Is j(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*s = -10, -5*s - 16 = 5*y + 4. Let h = 38 + 9. Let m = h + y. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -11. What is the remainder when 123 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*m = 21, m = -2*f + 11 - 2. Suppose -20*r + 14*r = -138. Solve -5*y + r = -f*q, 2*y = 12 - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/(-936))\/((-1)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123.04 + 123.34. Which is the third biggest value? (a) 4 (b) -11\/10 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1096524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:40 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-60)*-8 - 12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1 + sqrt(637)) - (sqrt(637)*-2 + -4)) + -1 - 3*(-5 + sqrt(637)*-1 + sqrt(637) - -3*(sqrt(637) - (sqrt(637) + -1) - sqrt(637))))**2*-6*4.\nAnswer: -1531200 - 33600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:05 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12160 + 2?\nAnswer: 12162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21145830 to the power of 1\/2, to the nearest integer?\nAnswer: 4598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 21*j - 33. Let z(n) = 11*n + 2. Let b be z(1). List the prime factors of x(b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -18*m - 24. Let i be (m\/(-18))\/(35\/21). Which is the closest to -1? (a) i (b) 2\/15 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*h**3 - 6\/7 + 22\/7*h - 10\/7*h**2.\nAnswer: -2*(h - 1)*(h + 3)*(3*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -131098 + 131098 + 4*f**2 - 5*f**2. Let a(c) = 254*c. What is b(a(w))?\nAnswer: -64516*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 70262454\/11 and 6387496 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 45)*(-2)\/3. Let y = -24 + q. Let s be ((-2)\/y - -1)\/(-4). Put s, 1, 5 in descending order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*x - 5*n + 4, n + 17 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -47 in descending order.\nAnswer: 3, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -25191\/83?\nAnswer: -25191\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30e153 (base 15) to base 2.\nAnswer: -1000110111110010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 764401*s**3 - 4*s**2 - 25*s + 28. Let o be t(1). Round o to the nearest ten thousand.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-42) + (-1 - -1))*-6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*t = -4*i - 146*t + 485, -595 = -5*i + 5*t. Which is the third biggest value? (a) -3 (b) 3 (c) 3\/5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 0\/(-7) + ((-126)\/(-2) - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.5, 3, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -1\/10*d**5 - 2 + d**4 + 1\/3*d**3 - 6*d**2 - 44*d. Let i(s) = 0. What is s?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 6 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -3\/133 (c) -11 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1918045 * -0.84.\nAnswer: -1611157.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-13)\/(j\/(j**(7\/5)\/j))*(j**(-3))**43 assuming j is positive.\nAnswer: j**(-713\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50292841407 - 87.6\nAnswer: -50292841494.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 4, -8\/5.\nAnswer: -8\/5, -0.4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(1 + d - 1 + (-2 + 0 + 1)*(-3*d - 2*d + 3*d) + 4 + 3*d - 4 + 4*d - d - d - d + 4 - 4)*(0*d**2 - 4*d**2 - 9*d**2).\nAnswer: 182*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 11:24 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkzkkzkkzkkkk. Give prob of picking 2 z and 1 k.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*k**4 + 9 + 188*k**4 - k + 191*k**4 - 34 - 562*k**4 + 7*k**2 to the form c*k**4 + d*k**3 + y*k**2 + x + t*k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*y - 10 + 450 = 0. Let u(c) = 12 + c**3 + 4*c - c + 8*c**2 + 9*c. Let t be u(y). Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 4*n - 67. Suppose -h = 3, -5*a - 3*h + 90 - n = 0. What is the first derivative of 2 + 5*g**4 - 2 + 9 - a*g**4 wrt g?\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c*c\/c**(13\/4)*c)\/c)**(2\/29)*(c**17)**24 assuming c is positive.\nAnswer: c**(23671\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a minute?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*167981163.\nAnswer: 50394348.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 1232?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20463 is divided by 929?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + -0.6. Let f = -4015\/3 + 1340. Which is the biggest value? (a) -0.1 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(300)*2 + -3.\nAnswer: -2 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -13 + -8 + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let w(s) = -5*s**2 + s + 2. Let p be w(u). Let z = 31 + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-18)*(-2)\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236\/1143 + -2\/127. Which is smaller: y or 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6 and -145\/30678.\nAnswer: 30678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 38*p - 195. Let h be c(30). Solve 16*v = 7*v + h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1188) - -1*sqrt(1188)) + sqrt(99)\/(sqrt(3)*-2)))\/(2*sqrt(66)\/(-1*(sqrt(6) + sqrt(12)\/sqrt(2)))).\nAnswer: 69*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85669 is divided by 904?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 482 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -31*w**5\/4 - 11*w**4\/12 + 3977*w**3\/6 + w - 449. What is the second derivative of p(s) wrt s?\nAnswer: -930*s - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010 - -100001111100100?\nAnswer: 100001101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 18*k**3 - 41 - 2*k + 2*k.\nAnswer: 18*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/5))\/h*h)**(-40)\/(h**(3\/4)*(((h\/(h**(-2\/9)*h*h)*h)\/h)\/h)\/h)*((h\/(h**(-1)*h))**(-41))**(2\/3) assuming h is positive.\nAnswer: h**(-2927\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 23. What is the common denominator of -20\/11 and (a + 2)*6\/15?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 292 + 38 = -2*l, 0 = -5*l - b + 644. Calculate the remainder when 484 is divided by l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.56 - 0.36. Let s = -0.1 + -0.1. Which is greater: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(22)*-2)\/sqrt(2)*6.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(3 - 2 + 1)*(-5 + 5 - n**2) + (143*n - 19261 + 19261)*(-n + 0*n - 3*n) + (n - 2 + 2)*(-n + 4*n - n).\nAnswer: -568*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79550 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1aa?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 153, 174, 193, 210, 225, 238, 249?\n\"Answer: -i**2 + 24*i + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1. Suppose 1 = -2*p + 3*p. Let s(j) = -j - 10. Let m(d) = p*s(d) + 4*l(d). Calculate the remainder when 6 is divided by m(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94396249.\nAnswer: 167, 565247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -14604493.1 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/((n*n**(-7))\/n*n))\/(n\/(n\/(n\/(n*n*n**(2\/5)))))**(-2\/29) assuming n is positive.\nAnswer: n**(1726\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 22*o**2 + 4*o + 177. What is the units digit of f(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5326 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/17)\/((-16)\/(30 + -14)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 262\/85 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 56 = -g - z, 270 = 5*g - 5*z. Let f = -47 + g. Solve 6 + 11 = 5*b + 2*w, f*b + w = 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1)\/i)**(13\/4)\/((i\/i**(-1\/11))\/(i\/i**(3\/5))))**(45\/4) assuming i is positive.\nAnswer: i**(-171\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + 3*x - 3. Let i(a) = -3*a**2 + 2*a - 2. Let w(o) = 3*i(o) - 2*y(o). Let j(g) = -2*g**2 + 4. Calculate j(w(r)).\nAnswer: -2*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -13 - 14. Suppose 0*o + o = -4*n + y, 0 = 2*o + n - 11. Suppose 4*l - 3*m = 51, -10 + o = m. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 158. What is the second smallest value in 1\/5, y, -4\/5, 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6257.\nAnswer: -1\/6257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s - 276*s - 1 - 330*s.\nAnswer: -629*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35, 113, 4, -3, 3 in descending order.\nAnswer: 113, 4, 3, 2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 24. Suppose 26 = -v - o*y, -4*v + 0*y + 3*y - 9 = 0. What is the tens digit of 876\/8*(-4)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 15. Put x, 4, -4 in increasing order.\nAnswer: -4, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29894875 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-396))\/(-1)*126\/(-28). Let n(y) be the first derivative of 1\/22*y**2 + 0*y + i*y**4 - 4\/33*y**3 + 6. Determine g so that n(g) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 136*i**2\/3 - 1274*i\/3 - 380.\nAnswer: -2*(i + 1)*(i + 10)*(i + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/7, 8.5, 1\/43 in decreasing order.\nAnswer: 8.5, 1\/43, -19\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 288*d - 229*d - 826 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - (0 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -183, -397, -703, -1107, -1615, -2233, -2967?\nAnswer: -3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/109?\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33058459 divided by 4?\nAnswer: -33058459\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4842, 19381, 43620, 77559, 121198, 174537?\n\"Answer: 4850*f**2 - 11*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqnqqqqhhkqhhhkkq. What is prob of picking 2 n and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 475 - 473. Suppose 0 + 6\/13*a - 2\/13*a**x = 0. Calculate a.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b. Let d(s) be the third derivative of s**4\/24 + 11*s**2. Give x(d(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 11. What is c(-11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -2 - (-3 + 2). Let m(d) = d**3 - d**2 + 1. Let v be m(2). Suppose 17 - v = 3*l. Calculate the greatest common divisor of l and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 3256319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j - 9 = 60*j + 4*s, -s + 1 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003332 - -111?\nAnswer: 3010103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 4. Let l be ((-4)\/a)\/(2\/(-6)). Suppose -v = 0, l*m = 2*v - 0*v + 16. What is the remainder when 23 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*z - 24*z - 9. Suppose -4*k + 0*k - 4 = 0, z*b + 2 = -5*k. Is 6\/11 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/11, 0.2, 9\/2387, 5\/3 in descending order.\nAnswer: 34\/11, 5\/3, 0.2, 9\/2387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (925 - 981) + (1 - (2 - (4 - 1))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56163.03mg in tonnes?\nAnswer: 0.00005616303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7763.8 - -6014. Round l to the nearest 10.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 5.08. Let i = -59 + 178\/3. Let g = 29\/42 - 5\/14. What is the closest to i in 2, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -6.3. Let g = -3 + 3.2. Is y <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12338)\/155*(-3 - -413))\/(-1)?\nAnswer: 2, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 52. Let y be v(-25). Solve -a + y = -2*m - 0*a, 4*m = a - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 1 - 8\/15*v**3 - 4\/5*v**2 - 2\/5*v. Let p(c) = 0. Calculate c.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2904694 + 72627873\/25. Let q = u - 421. Let c = q - -29\/50. Which is smaller: c or 13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -w - 2 + 10, 0 = -2*w + 3*f + 14. Suppose -3*v = -8*v + w. Find the first derivative of -3 + 3*x - v*x - 2*x wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*o**3 + 23376*o**2 + 2105001*o + 55972134 = 0. What is o?\nAnswer: -246, -477\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2025)\/(-50)*(-1)\/(-6)*4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c - 6\/5*c**2 + 0 - 1\/5*c**3 = 0. Calculate c.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -3, -5, 14, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52601 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*r = 15, 3*d + 7*r = 6*r + 26. Solve -d*m + 2*m - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2108100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -4 + -644 + 707.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.4 - 269.6. Let w = 345.99437 + i. What is w rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lklu when four letters picked without replacement from {a: 1, k: 1, u: 1, c: 2, l: 2, p: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -62588050 divided by -5\nAnswer: 12517610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2. Let n(o) = -2 - 4*o - 4*o + 5*o. Suppose 2*x = 5*x - 12. Let u(y) = y + 1. Let b(z) = x*u(z) + 2*n(z). Calculate j(b(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 - -1254\/5. Which is the closest to -1? (a) -2\/5 (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038018705 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: Let u(j) = 15*j**3 - 15*j**2 + 3*j + 15. Let k(z) = -z**3 + z**2 - 1. Suppose 0 = -7*p + 10*p + 3. Let d(v) = p*u(v) - 18*k(v). Factor d(a).\nAnswer: 3*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 6. Let u(d) = 40*d + 1. Let k be u(1). Suppose 0 = 2*b + t - k, -5*b + 15 + 80 = t. Let g = b + -13. What is h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -229, 4, 5\/6, 0 in decreasing order.\nAnswer: 4, 5\/6, 0, -3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.5 - 5.5. Let k = 2\/83 - -160\/249. Which is the third biggest value? (a) o (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {c: 2, o: 2, m: 4, e: 3, k: 3, y: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 163. What is the highest common factor of 7372 and n?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dds when three letters picked without replacement from {o: 3, m: 3, h: 1, j: 2, s: 2, d: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122\/14 - (-2)\/7 and -14 + 5 + 5 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*c + 159, 2*c + 7*v - 2*v = 52. Suppose -2*w = 3*q - 264, -12*w = -8*w + 3*q - 510. What is the remainder when w is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*h**2 + 81*h + 1?\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28067*h - 301*h - 171043 = 226257 + 538844 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 406 - 403. Suppose -q*d - 4710 = -5*v, 3*v - 2830 = 3*d - 2*d. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -433*r**3 + 4*r + 434*r**3 + 40*r**2 + 153*r**2 + (-2*r + 0*r + r)*(3*r**2 - 3*r**2 - 2*r**2).\nAnswer: 3*r**3 + 193*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -18 (b) 6.5 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69881211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16892463 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r**(3\/2)))\/r*r)*r\/r**(2\/5))**(2\/59)\/((((r*r*r*r**(-1\/2)*r)\/r)\/(r*((r**(-1\/5)\/r*r)\/r)\/r))\/r**(-2\/29)) assuming r is positive.\nAnswer: r**(-62689\/17110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(704) - sqrt(704)*1)*2)**2*-3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2870958 = 4*q + 4*m + 65182, 0 = 4*q - 2*m - 2805752. What is q rounded to the nearest one thousand?\nAnswer: 701000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 4) + 3 + 36. Suppose 0 = -2*j + 3*j - d. Let s = -18 + j. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 5*f + f. Suppose -b = -126 - f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/9))\/(t\/(t*t**(-5)*t)))**(-21) assuming t is positive.\nAnswer: t**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 9*p**2 - 9*p + 11. Suppose 2*i = -i + 24. Let u be q(i). Solve 0 = u*d - 6, -5*b - 5*d - 17 + 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2 - 104445*c - 9004458 = 0. Calculate c.\nAnswer: -86, 34901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 greater than or equal to -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.689.\nAnswer: 2.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00718309 to four dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*3*-3 - sqrt(99)) + (sqrt(99) + 3*-2*sqrt(99) - sqrt(99)))\/(-4*2*sqrt(900) - 5*(sqrt(900) + -2*sqrt(900))))**2.\nAnswer: 704\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-800)\/500)\/((-28)\/(-10))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6)*(5 + -3). List the prime factors of 29 - (g - (-2 + 2)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let x be ((-44)\/(-2))\/(11*(-14)\/(-40579)). Let l(c) = x - 5797 + 234*c. What is l(z(h))?\nAnswer: 234*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-37 + 7)\/((-3)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/10 - (-2 - 24\/(-10)). Let j = g + -6. Let -4*q**3 - q**4 + j*q**4 - 168*q**2 + 163*q**2 = 0. What is q?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85622 - 297162748?\nAnswer: -297248370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*x + x. Suppose -5*q - n + 37 = -0*q, -3*n = -q + 17. Suppose -13*r + 20 = -q*r. Solve x*s - 15 = 0, r*t + 2*s = 2*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/11 + 6850*l**2\/11 - 1032074*l\/11 + 38059718\/11 = 0.\nAnswer: -3571, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -100, -4, 4263, 2\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*n - k + 377, -4*n + 361 = 3*k. Calculate the greatest common factor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pff. What is prob of sequence pf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -19.\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 4. Let i(m) = -3*m + 348. Determine i(z) - 4*w(z).\nAnswer: z + 364","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a + 3*j, 2*a - 4 = 3*j + 3. Suppose 3*b + s = 616, a*b + 0*s = -5*s + 428. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in 10, -0.86, -2, -2\/3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 118*c**3 - 7*c**2 + 99*c + 5. Let q(z) = 60*z**3 - 4*z**2 + 49*z + 3. Let t(x) = -10*q(x) + 6*y(x). What is the second derivative of t(i) wrt i?\nAnswer: 648*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931689 is divided by 1941.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/177962929 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - 1. Let b = -4 - n. Let j = 0.5 - 2.5. Is j at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-336)\/3480)*(-7 - 9\/60*-46)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 139? (a) 2\/7 (b) -77224 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/15*(-12)\/(-42)*23\/276*-49\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -12.2.\nAnswer: 85.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-34)*z*((z*z\/(z**30\/z))\/z*z)\/z assuming z is positive.\nAnswer: z**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**3 - 3*c**3)*(-3 + 3 + 2 + (5 - 3 - 3)*(3 - 1 - 1) + 8 + 24 - 5 + 4 - 2 - 9)*(0 + 1 + 1).\nAnswer: -126*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -330541 + -0.2\nAnswer: -330541.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/c*c**0)**(-1\/15)\/(c\/(c\/(c\/c**(1\/5)*c))*c*((c\/(c\/(c\/(c\/c**(-4))*c)))\/c)\/c*c*c*c**(-1)*c*c*c**(-5)) assuming c is positive.\nAnswer: c**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + m - 3 = 0, 5*p + 5*m + 15 = m. Let v be (1 + 0)*(0 + 0). Let a = v - p. Solve -a*y - 8 = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 33930.\nAnswer: 33932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 112, 144, 200, 286, 408?\n\"Answer: r**3 + 3*r**2 - 2*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 3, m: 2, w: 1, q: 8, p: 1}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by 28\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s + 8. What is n(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 14. Let r(g) = -6 + 2*g + 0*g - 3. Suppose -18*x - 7 + 60 = -37. Determine x*q(c) + 8*r(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65155 is divided by 918?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let m be w(1). List the prime factors of ((-11)\/m)\/((-5)\/20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-62)\/2511)\/(18\/1161).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 786.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 80595171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (5 - 7))*-13. What is the greatest common factor of 130 and p?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 219 = 183 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-616)*10 - 2\/(-11)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 629 + 141 = 0. Calculate the greatest common factor of 1188 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 4. Let c be -2*(20\/(-8))\/i. Let f be c\/2 - (-44)\/40. Is f at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 217 + 215 = 0. Calculate the common denominator of -67\/50 and 1 + (-2)\/(x\/194).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 31\/9, 4\/7, -7\/24 in decreasing order.\nAnswer: 5, 31\/9, 4\/7, -7\/24, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 13*m + 19. Let g be c(14). Calculate the common denominator of g\/(-40)*298\/3 and 89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41583, 83138, 124693?\nAnswer: 166248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 232 and -2.147.\nAnswer: -498.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40205, 40215, 40229, 40247, 40269, 40295, 40325?\n\"Answer: 2*r**2 + 4*r + 40199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74761*d**4 - 2562*d**2 - 1.\nAnswer: 1794264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*r = 60 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 15?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019439 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/30 + (-34 - -28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*j + 13*j**2 - j - 43*j**3 + 14*j**2 - 26*j**2 wrt j?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137338875 and 30375.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 2*r**2 + r - 3. Let y = -1 - 2. Let o = -6 - y. What is the units digit of f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111538859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + 2) - (4 - 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3*u - 23, -14 = 12822*s - 12821*s - 2*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 2*y + 33, -4*y = -o - 2*y - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/2 + 4*z**3 + 15*z**2 + 16*z - 28. Factor s(m).\nAnswer: -2*(m - 8)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-920)\/(-32) + 12\/(-16) + 4. Let k = p - -19. Does 51 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 6 - 1, -29 = 4*j + d. Let t = j + 6. Which is the nearest to t? (a) 1 (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (445\/(-105))\/(((-1)\/1)\/(-4)). Let a = m - -109\/14. Find the common denominator of -35\/2 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**3*y**3 + 36*g**3*y + 5*g*y**2 - 4*y**3 wrt y?\nAnswer: -48*g**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-3)\/((-18)\/(-39)). Let o = 296\/183 + 3\/61. Let m = 4.03 + -0.03. Which is the nearest to -1\/3? (a) o (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:11 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -313, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 4*t + 2*t)*(3 - 4 - 2*t + 5).\nAnswer: 6*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304225601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 2) - (10 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 + 3 - 0)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p - 8. Let s(z) = z + 1. Let h(c) = -a(c) - 5*s(c). Let j be 8\/(-5)*5\/(-2). What is the units digit of h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syxssyxyxss. What is prob of sequence xxss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -18116409068?\nAnswer: -18116409068.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 - 178460*j\/7 - 7961992900\/7.\nAnswer: -(j + 89230)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:24 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 - 24024*o + 72144072 = 0. Calculate o.\nAnswer: 6006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 46*t - 542. Calculate w(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/13, -2955, -1, -0.12.\nAnswer: -2955, -6, -1, -2\/13, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -943050 divided by -6\nAnswer: 157175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 13*r**2 - 967*r - 4893. Give v(79).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f - c = 6, 9 = -3*f - c. Let y = 36.6 + -37. Suppose -2*m - 3 = -7. What is the closest to m in 0, f, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 9:26 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.09328, -3, 2\/7 in increasing order.\nAnswer: -3, 2\/7, 6.09328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15*x. Let z(y) = -y**2 - 4*y - 4. Let t(h) = -2*h**2 - 3 + h**2 - 2 - 3*h - 2*h. Let o(g) = 4*t(g) - 5*z(g). Give q(o(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 20 - 14)*(-37*h**3 - 6*h**4 + 37*h**3) - 2*h**3 - h**3 + h**3 + h**4.\nAnswer: -119*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116589 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foutctctcf. What is prob of picking 1 u and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 749, 1747, 3185, 5081, 7453, 10319, 13697?\nAnswer: 17605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1958 - 1539. Is p at most as big as 418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i**2 - i)*(2*i + 2*i + 2*i + (0 + 0 + 2)*(2*i + 3 - 3) + 1 - 1 + 2*i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) -0.951 (c) -0.7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Let d be (v\/(-4))\/(3\/(-1)). Let w(g) = -g**2 - 11*g. Let q be w(-11). Solve d*j - 2*j - 6 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 3) + -10 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2403323104 (base 5) to base 3\nAnswer: 101101210010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288\/125 - 9411\/2750. What is the common denominator of -91\/20 and g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329477684 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o*o*o*(o\/(o*(o*o**(1\/39)\/o*o*o)\/o))\/o*o*(o*o**25*o)\/(o\/o**22) assuming o is positive.\nAnswer: o**(1754\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 1, s: 2}. Give prob of sequence srp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2762937911?\nAnswer: 47, 4019, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 190\/(-45) - (-66)\/54.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + y. Let c be m(1). Suppose -6 + 1 = -5*n. Let f = n - 0. Is c equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*p - 3293 = 8081 - 3142 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 326?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/324 and -43\/29403.\nAnswer: 117612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17014 or -5325622\/313?\nAnswer: -5325622\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92\/371 + 2\/53. Let z = -99 + 94. What is the closest to u in -3\/7, z, 5\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1271 = 5*f + 317, 5*f = -3*g + 718. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51, 52, 53, 54?\n\"Answer: a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwr when three letters picked without replacement from wwwwrwr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-18)*154\/4235*-33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 26. Suppose 2*w + 9 = -3*u - 3, w + 5*u = -i. Solve -d + 1 = -w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2774 and -2700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p - 2. Let z be m(-4). Let x be 101 - (z + -2 + -2). Suppose 4*h + 23 = x. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855819796*u**2 - 855819796*u**2 + 917*u**3.\nAnswer: 917*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -848430*o**4 - 543026*o**2.\nAnswer: -20362320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335907 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 700, 5, 3, -7.\nAnswer: -7, -2, 2, 3, 5, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 24*d**2 + 24*d - 17. Let z(f) = -f**2 + 12*f - 12. Let g be z(13). Let r be n(g). Put r, -4, -5, 0 in descending order.\nAnswer: r, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -422?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/8, 0.1, -0.19, -2\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7924 + 1?\nAnswer: -7923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 11*v**5 - 3*v - 3*v**3 - 3 + 3 + v**5 wrt v?\nAnswer: -200*v**3 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.3. What is the nearest to 0 in -2, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13407 = -24*t + 13623 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((-2 - -3) + ((-495)\/(-39))\/(-15)). Let f(y) = -24*y + 301. What is f(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-57)*(-18)\/66.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 11) to base 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -6323213?\nAnswer: -6323223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.58 - 32.08. Let j = 0.58 + -0.18. What is the closest to -6 in 3, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -37*j**6 - 9*j**3 + 32*j**2 - 9. Let z(r) = -9*r**6 - 2*r**3 + 8*r**2 - 2. Let m(o) = -2*y(o) + 9*z(o). Find the third derivative of m(g) wrt g.\nAnswer: -840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 + 343*f**3 + 60 + 229*f**3 + 57 + 0*f**3 + f**3 + 0*f**3 + (-f - 4*f + 3*f)*(-8 + 7*f**2 + 8) to the form t + g*f**3 + w*f**2 + u*f and give g.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.061 and -23423.\nAnswer: -23423.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*f + 39713, 11*f - 2*o + 19858 = 13*f. Is f a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1016882052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11001*f**2 + 5503*f**2 + 5502*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 2334 and 365.3238.\nAnswer: 2699.3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.033 and -9072.15231.\nAnswer: -9072.11931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-20 - -31) - -29?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*r - 26, 4*r - 2*r + 34 = 3*k. Suppose 4*o + k = 0, 0 = 2*x + 3*x + o - 27. List the prime factors of -2*9\/x - -38.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73083*l**5 + 2*l**2 - 978*l - 3 wrt l.\nAnswer: 4384980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1000011111111?\nAnswer: -1000100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(4*sqrt(1573)*-2)**2.\nAnswer: 2416128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.052*-27547\nAnswer: -1432.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 2:23 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*w = -4*f + 8, -5*f + 16 = 3*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + a4?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 - 2*h + 4. Let w be a(-5). Suppose -4*i = q + 2*q - 220, 4*q + 192 = 4*i. Let j be 4\/14 + i\/w. Put -4, -3, j in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84835?\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 17*t**2 + 36*t + 24. Let n be r(-18). Let d = 502 + n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11334 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -165. Round a to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -351714?\nAnswer: -351704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9 + -6. Let z = -1.8 + 1.4. Which is the closest to 0.1? (a) -3\/7 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) - (-156)\/(-48) - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/40593124 and 3\/394108.\nAnswer: 40593124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 55*i + 125. Let l be d(3). Solve -l + 294 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1152 and 73\/25854.\nAnswer: 4963968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1078 - -1077.99998006. Round r to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 7. Let d be y(-1). Let u be (-2)\/(-1 + 0)*-2. Is (u\/12)\/(d\/(-558)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*(-16)\/400)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 2*i**3 + 8 + 4 + 4*i**3.\nAnswer: 2*i**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.66622 + -219.7.\nAnswer: -221.36622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14993 rounded to the nearest one hundred?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753670 is divided by 80?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**2 + 4 + 0*d**2 + 5 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5. Let a be 4 - 2 - -1*v. Suppose 7*n = a*n + 248. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 17. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -43501.\nAnswer: -43500.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*(t**(7\/5)\/t)\/t))\/t**14*(t\/t**(-3))**(1\/2) assuming t is positive.\nAnswer: t**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-1))\/(6\/(-4)). Let c be (1*-2)\/h*15. Suppose 3*j = 4*z - 0*z + 18, 5*z = c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 5, n: 6}. Give prob of sequence nnm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -8*u + 12*u. Let n = u + -24. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/4))**(-19))**(-2\/47) assuming y is positive.\nAnswer: y**(57\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 3, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/9 + (-4)\/6. Let v(o) = -o**3 - 3*o**2 + 2. Let b be v(z). Suppose -5*a = -y - 9, -b*a = -2*y + y - 3. Is y smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 7\/6*q**3 + 0*q**6 + 7*q + 0 + 0*q**4 - 1\/21*q**7 + 0*q**5 + 0*q**2. Find the second derivative of s(h) wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/27)\/(g*g**9\/g))\/(g**(-1))**26)**(10\/3) assuming g is positive.\nAnswer: g**(4570\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 23, 4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -896 - 786a?\nAnswer: -8655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 811440, 811445, 811448, 811449?\n\"Answer: -c**2 + 8*c + 811433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1431, -5783, -13067, -23283, -36431?\nAnswer: -52511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 16*h - 63. Give t(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 73831017?\nAnswer: 221493051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 354982 divided by 2\nAnswer: 177491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(-z**3 - 3*z**2 + 3*z**2) + (2 + z - 2)*(-4*z**2 + 6*z**2 - 4*z**2).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2585 divided by 5.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 11*t**2 - 19*t - 12. Let h be m(11). Suppose -r - h = -16*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1793, 4, -1, 1, -3, 0, -792 in increasing order.\nAnswer: -1793, -792, -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001010010011 (base 2) in base 8?\nAnswer: 241223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/6 + 4*i**4\/3 - 9*i. Find the third derivative of g(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a microgram in nanograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122? (a) -4 (b) 5 (c) 3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 2970*y**2 + 5413056*y\/5 - 481800704\/5.\nAnswer: -2*(y - 176)**2*(y + 7777)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 613817257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -24, -71, -156, -291, -488, -759?\n\"Answer: -2*v**3 - v**2 - 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -21816*v + 5. Let m(a) = -3*a. Calculate s(m(i)).\nAnswer: 65448*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(0 + 2*n**3 + 0)*(34 + 49 + 38)*(-4 - 5*n + 4) as z*n + o + s*n**2 + r*n**4 + q*n**3 and give r.\nAnswer: -2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -2. Suppose -9 = -3*v - i - i, -5*i - o = -2*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*q - 10. Let b = -1 - q. Suppose 14 = b*y - 1. Solve -4*v + 10 = y*o - 22, 1 = v - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 378.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**4\/4 - 3*w. Let t(v) be the first derivative of 7*v**3\/3 - 94. Calculate t(h(j)).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4731*a**3 + 209*a**2 + 209*a - 209. Let v(y) = 91*y**3 - 4*y**2 - 4*y + 4. What is 4*p(g) + 209*v(g)?\nAnswer: 95*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 346*b + 2084. Calculate h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-30) + 51\/(-15). Let f(p) = -p**3 - 4*p**2 + 2*p + 6. Let t be f(b). Are -3 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 - (2 + 0)) - (5544 - 5546)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/((-3)\/(-24)*-6)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -58*d**3\/3 + 2912. Let l(x) = 5*x. What is g(l(a))?\nAnswer: -1450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-21)*d**(-3\/5)*(d*d\/(d\/d**(-9)))\/d)\/(d*d**4\/d*d*d**0\/d)**(-3) assuming d is positive.\nAnswer: d**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2168 and 13286.\nAnswer: 14402024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*(1 - (-5 - -10)). Suppose 3*p = m + 356, 5*m = -z*p + 3*p + 600. Suppose -4*b = -289 - p. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/59? (a) 0 (b) 1\/3 (c) 0.351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -11377*z + 11345*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17)*-2 - sqrt(17)) - sqrt(85)\/(sqrt(5)*-2))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.2 (c) -78 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -365 - -368.02. Let s = k - 0.02. Which is the biggest value? (a) -1 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 129\/4. Suppose -2*c + 4*c - 8 = 0. What is the closest to 0.1 in -0.01, c, t?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - 13 - -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41968376 by -2468728.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, y: 2}. What is prob of sequence yd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795428841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -480, -952, -1416, -1872?\n\"Answer: 4*x**2 - 484*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11218 is divided by 74?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*5.678.\nAnswer: 102.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 18. Let d(l) = l + 5. Let i(k) = 9*d(k) - 2*q(k). Let z(w) = -2*w - 4. Calculate 4*i(o) + 9*z(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2969 is divided by 738.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -370 + 370.783. Round g to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 61*l**2 + 30*l + 166. Give v(-5).\nAnswer: 1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/2)*p*p*p)\/((p\/(((p*(p\/((p\/(p*p\/(p\/p**3)))\/p))\/p)\/p)\/p))\/p))\/((p*p\/p**(-1))\/(p\/p**6*p*p*p)) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*w - 1914*w = -943*w + 442 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/9 - (5 - 3). Let a = -5110.6 + 5110.3. What is the closest to 1\/2 in a, -3, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 6884 + 4936 = 0. Let h(d) = -b + 591 - 2*d - d. Let i(r) = -18*r**2. Calculate h(i(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2163583?\nAnswer: 3\/2163583","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 185*r + 13. Let w = -3 - 21. Let o = 30 + w. Is l(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.129 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2850204669?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 927.0443 + -0.0443. Let g = x + -927.0001987. Round g to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11222 or -987?\nAnswer: -11222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 162*q**2 - 2*q - 7. Calculate the remainder when k(-5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13289319?\nAnswer: 3, 331, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1787 - j**3 - 2*j + 1779 - 6*j**2 - 6*j. Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-7010)\/(-25))\/2)\/(5\/(-5)). Is g at least -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = 3*d. Solve -3*n - r - d = -0*r, 0 = -5*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 39*r + 1. Let y(w) = 14*w. What is t(y(h))?\nAnswer: 546*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(3 + 27\/(-12)). Let t = 1 + 1. Let g(n) = -4*n**3 - 12 + 9 + 3*n + 3*n**t + j*n**3. Give g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 3*q - 3*r - 7*r = r + 8*r - 20*r + 26, -2*r + 32 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12\/7)\/((o\/o**(-20))\/o*o*o)*o**(-8)*o**(-2\/23)\/o assuming o is positive.\nAnswer: o**(-5281\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7741727, -7741726, -7741725, -7741724, -7741723?\n\"Answer: u - 7741728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 93104786 and 93104788 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j = 89*j - 1872. Let s(b) = 13*b**2 + 2*b + 2. Let n(r) = -754*r**2 - 117*r - 117. Determine j*s(q) - 4*n(q).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 26*v + 2. Let q be a(-13). Suppose -5*c = z + 13, -3*c + 1 = q*z + 3*z. Let l(n) = 38 - 17 + n**z - 1. Let d(b) = -2*b. Calculate d(l(x)).\nAnswer: -2*x**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11520473 + 114?\nAnswer: 11520607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.085572 * 109.\nAnswer: -9.327348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/46385 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433*r + 387*r + 138 = 0. Solve -2*i + r*s = 10, -5*s + 21 = -0*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 19 = -49. Suppose 0*s + 12 = -t*v - 4*s, 3*v - 15 = 5*s. Suppose v = -10*n + 6*n. Solve -5*b + 0*b + 25 = n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000362260?\nAnswer: 2, 5, 67, 107, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.9164668 or -67?\nAnswer: 0.9164668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:53 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042 * -118.\nAnswer: -4.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*j**2 - 39*j**2 + 111*j**2 - j + j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/((-1323)\/108)*93\/12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 312, 656, 1184, 1896, 2792, 3872?\n\"Answer: 92*k**2 + 68*k + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 4*z - 1)*(-20*z**3 + 21*z**3 + 30*z**3)*(0 + 3*z + 0).\nAnswer: -372*z**5 - 186*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 5*u**2 - 13*u + 79. Let w(d) = -2*d**2 + 6*d - 39. Determine 2*q(n) + 5*w(n).\nAnswer: 2*n**3 + 4*n - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -234294 and 100950486.\nAnswer: 100716192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-2 + sqrt(2) + 0 - sqrt(2)))**2 + -1.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 2*a**4 + 2*a**4)*(-99 + 35 + 302)*(0 + 2 - 4)*(-5*a + 2*a + 5*a).\nAnswer: -2856*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-9))\/((-3)\/(-198)). Let o = 7 - 15. Let n = 3 - o. Calculate the highest common factor of n and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**4\/12 + j**3\/6 - 3*j**2. Suppose -5*d = -0*d - 10. What is the units digit of f(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404 and 216.\nAnswer: 21816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*o**3 + 180*b**2*o**2 + 465*b**2*o - 3*b**2 + 43*b*o**3 - 133*b*o - 2*o**3 + o wrt b?\nAnswer: 4*o**3 + 360*o**2 + 930*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 112*h - 8357. Give q(75).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-14) - (-21)\/49\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**3 + 38*l**2 - 38*l. Let c(p) = p**2 - p. Give 38*c(w) - m(w).\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*u - 2*t, -4*t + 0*t = -u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + 11*z + 6. Let k be w(-4). Let b(h) = -3*h + 5. Let f be b(-5). What is the highest common factor of f and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -350*p. Let l(g) = 5*g + 10. Let o(k) = 11*k + 25. Let s(v) = 15*l(v) - 6*o(v). Give b(s(z)).\nAnswer: -3150*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*f = -155, f - 51 = -0*s + 2*s. Let q = -63 - s. What is the common denominator of q and 0 - -2*(-6)\/22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(6\/(-30)) - 1. Sort c, -2, -3.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4949917296 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.747485 micrograms?\nAnswer: 0.007747485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66760 rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/2, 772, -256?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11218521*v**6 + 15993567*v**2 wrt v.\nAnswer: 1346222520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2. Suppose -2*k - 14 = -4, -2*p + k + 11 = 0. Let u(j) = 10*j - 4*j + p*j. What is t(u(l))?\nAnswer: -405*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, r: 1, l: 1, k: 2, q: 2}. Give prob of sequence kk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 1, -1\/15, 0?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -662, -1547, -2848, -4601, -6842, -9607, -12932?\nAnswer: -16853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 20*i + 65. Let b be n(8). Let a = b - -364. List the prime factors of a.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 354484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y - 909 = 1443 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -719\/6. Let u be ((-22)\/(-55))\/((-6)\/5). What is the closest to -1\/2 in j, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/910 and -5\/4.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -6, g - 3*b + 7 = 0. Suppose -u + 3*w = -g, -5*u + 0*w = -5*w - 80. Suppose n - u = -n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -70. Suppose -12*a = 1441 - 1513. What is the smallest common multiple of p and a?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 184*t**2 + 182*t.\nAnswer: 2*t*(t + 1)*(t + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46515411 to the nearest integer?\nAnswer: 6820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-2 + -2) - (6 + (-6)\/1). Solve -c*g - 15 = 5*f, g = 7*f - 4*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-70)\/(-3))\/2)\/(10\/30). Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = 3*u - 265429 - 171621. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 2000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 30881653 + 42618344. Let j be 8\/(-56) - v\/7. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/9 (c) -8\/7 (d) -7 (e) -0.3 (f) 133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 720 divide 10966521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522452 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -159*-5*(-5)\/75. Let h = -46 - -9. Let l = h - a. Calculate the remainder when 79 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2505*0.5.\nAnswer: 1252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnslggsivlgls. What is prob of picking 1 s and 2 l?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200002012 (base 4) to base 10.\nAnswer: 917638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 12 + 4*a**3)*(15*a + 13*a - 2*a + (-1 + 0 - 1)*(-2*a - 3*a + 3*a)) to k*a**2 + z*a**3 + g*a**4 + v + h*a and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**2 + 5*h - 4. Suppose -2*s + 17 = 3*c - 0*c, 5*s + 45 = 5*c. Let m(u) = 2*u**2 + u - 1. Give s*t(p) + 9*m(p).\nAnswer: 2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*13117468.\nAnswer: 91822276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45579151 and 18015?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 - 22*a**2 + 21*a - 196. Determine o(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 913 - 616. Suppose -2*b - b = -x. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*n**2 + 21212*n + 1678740 = 0. What is n?\nAnswer: -571, -735\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(40\/(-84))*34\/1904*-12\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h - 3. Let t be v(-7). Let d = -242 - -201. Let j = d - t. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -489.09 less than 14.3?\nAnswer: 503.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/4 + (-9)\/(-27)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003796 to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.66*-10767.7\nAnswer: 7106.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/288021 and 105\/49552.\nAnswer: 4608336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-72)\/(-24))\/(3\/1). Put -124, 5, b in increasing order.\nAnswer: -124, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i = -10. Suppose 0 = v + 3*q - i, 2*v = -3*v - 5*q. Which is the nearest to v? (a) 0.2 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**3 + 3*l**2 - 3*l - 1. What is s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*w**2 - 3*w - 1333*w**3 + 7*w + 1394*w**3 as p*w + c*w**2 + v + a*w**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-98)\/8)\/((-7)\/(-28)). Let f = m - -74. Let w = -40 + 63. Solve -j = 5*l - 2*j - f, 3*j = 2*l - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.46 - 4.51. Put -3\/7, l, -1\/23 in decreasing order.\nAnswer: -1\/23, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 + (-3 - -8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqz when three letters picked without replacement from erzznzqznrr?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 + 50)*(-1)\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 9*d + 30*d - 16 - 17*d - 20*d.\nAnswer: 2*d - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-39)*((-119)\/(-14))\/17.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 762\/7, 0.4, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - x**2 - 8*x. Let o(g) = -35*g**3 + g**2 + 67*g**3 + 9*g - 26*g**3. Determine -5*i(u) - 4*o(u).\nAnswer: u**3 + u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 2.601.\nAnswer: 1.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -7.615 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/85 and 27\/2386783.\nAnswer: 11933915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-15))\/(-1)*(-735)\/(-294)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748 + (8 - (-1 + -9)*24\/(-80)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4466, -4709, -4982, -5291, -5642, -6041, -6494?\nAnswer: -7007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47418247.44087894 - -783595704.4408795. Let g = v + -736177426. Let u = g + -31. Round u to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -973431*s. Let v(k) = -239*k. What is v(n(y))?\nAnswer: 232650009*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -19, 2\/17, 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, 1\/10, -13578, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.2 (c) -17 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 0.05182941.\nAnswer: -0.14817059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36780 and 2859420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 3\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 161 = -17. Let v = s - 16. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4 - 2 + 3*h + 0*h + 3. Give s(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/9, 1\/5, -2\/17 in ascending order.\nAnswer: -5\/9, -2\/17, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 135*y + 4485. Let s be q(-76). Which is bigger: s or 1\/2273?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*t + 13, -2*t - 3*s = -0*t - 10. Calculate the least common multiple of 4 - t\/((-4)\/(-16)) and 2 + 0 - (-17 - -13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 1967*f - 137982. Give q(73).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13285307.8 minus -0.032012?\nAnswer: 13285307.832012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -39.9?\nAnswer: 518.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2864 and 85\/103104?\nAnswer: 103104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 - 27*m**4 + 233*m**3 + 1203*m**2 + 1604*m + 660 = 0. What is m?\nAnswer: -33, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 361?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.103575 to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-60)*(-100)\/(-40)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*j + k, -2*j + 4 = 5*k - 10. Suppose w + 3*r + 16 = -1, 3*w + 31 = -4*r. Let m = 9 + w. What is the remainder when j is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 34*i**3 - 1539*i**2 + 25088*i - 8202. Let m(s) = 16*s**3 - 770*s**2 + 12544*s - 4100. Let t(d) = 2*b(d) - 5*m(d). Factor t(q).\nAnswer: -4*(q - 32)**2*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/(-12)*(-18)\/5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -8. Calculate the common denominator of (a\/10)\/((-64)\/40) and -3 + 1 + 117\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5314, -4235, -3160, -2089?\n\"Answer: -2*y**2 + 1085*y - 6397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6120\/1870*44\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 19*u**2 + 3576*u + 299. Give w(-70).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23482.\nAnswer: 2, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w + 2*v + v, v = -w - 1. Suppose 0 = 3*q + 4*i - 8, 4*q + 4*i = -w + 8. Determine m so that 4\/3*m**2 - 4\/3*m + q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 226?\nAnswer: 226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6380, 6466, 6554, 6644, 6736, 6830, 6926?\n\"Answer: x**2 + 83*x + 6296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 946 and 243853.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -2\/231591107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8848 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-40 + -3 - (7 - -3)) + (-1 - -14)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -55*x + 18*x + 187 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26988 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*b + 3)*(-b**2 - b**2 + b**2) + 0*b**3 + 4*b**3 - 2*b**3 + (-7 + 7 - 10*b)*(-3*b + 4*b**2 + 3*b) as h*b + f*b**3 + g + j*b**2 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1)*340\/(-51). Solve -i = -4*g - 5*j, -5*g + j + 20 = 6*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2270.48?\nAnswer: 6811.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.085 - -67.915. Let j = 72 - w. Sort j, 2\/7, -5 in descending order.\nAnswer: j, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721520?\nAnswer: 2, 3, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18363509 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 + o**3 + 2*o + 4*o**3 + 7*o**2 + 4*o**3 wrt o.\nAnswer: -240*o**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55660668 and 61740?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6))\/(1\/(-36)). Let f be (-544)\/(-18) + 4\/u. Suppose -f = -2*x + 2. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 12)*((-6)\/(-50))\/((-30)\/320). What is the second smallest value in 0, s, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4)*(-16 - 60\/(-10)). Let d(j) = -j**3 - 9*j**2 - 5*j - 6. Let a(p) = -p**3 - 8*p**2 - 6*p - 7. Let i(k) = q*a(k) - 6*d(k). Give i(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4515960 and -151\/4920.\nAnswer: 185154360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1089218, -2178365, -3267512?\nAnswer: -4356659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**3 + 15*l**3 + 19*l**3 + 8*l**3.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(7) - (sqrt(7) + 1) - sqrt(7)).\nAnswer: 4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -556*t - 421 wrt t?\nAnswer: -556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/97272 and -33\/112?\nAnswer: 194544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-3) + 3\/(-9). Suppose 0 = q*i - 90 - 309. Calculate the remainder when 169 is divided by i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14446.83ns to minutes.\nAnswer: 0.0000002407805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + d - 192 = -5*q, -3*d - 32 = -q. Suppose z + z = q. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.9 - 62.07. Let m = 9.01992 + y. Let u = 0.15 + m. What is u rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -4291924?\nAnswer: 3\/1072981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - g**2 + g. Let d(n) = -3 + 4*n**3 + 8 + 0*n**2 - 6*n**2 + 5*n. Let v(c) = d(c) + 3*s(c). What are the prime factors of v(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2414 - -5853. Suppose -13*t = -v - 27. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79805.24 years to centuries.\nAnswer: 798.0524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-8 - -17) - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 3, -4, 437, 4, 88 in descending order.\nAnswer: 437, 88, 14, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 48. Suppose 0 = -b, 20 = g + i*g + 3*b. Let f(l) = 12*l - l**2 + 0*l**2 - 9 - g*l + 2*l. Give f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let i(r) = -3*r**2 + 3*r**2 + 2*r**2. Calculate x(i(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 0 + (-2 - -2). Suppose 0 = -2*s - 2*n, 16 = 3*s + 3*n - l*n. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i - 14. Let n(x) = -4*x + 6 - 7 + 3*x. Let p(z) = -2*b(z) + 28*n(z). Determine p(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 8*n**2 + 12*n + 23. Let g be i(-9). Let m = -5 + 3. Let u be g\/m - (-9)\/(-4). What is the second biggest value in 1, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1834.17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/26)\/((-3597)\/4796)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4764, -4761, -4758, -4755?\n\"Answer: 3*r - 4767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17092326317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*t + 5*t + 5*v, 3*v + 54 = -5*t. Suppose -a + 37 = 5*d, 4*a + 3*d = 54 + 9. List the prime factors of t\/3*a\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22137740 (base 8) in base 16?\nAnswer: 48bfe0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 2. Let x(z) = -z**3 + 9*z**2 + 15*z - 12. Let w(c) = -3*k(c) + x(c). Let h be w(9). Calculate the highest common factor of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 30. Let i be r(16). Suppose 6*g = -i + 8. Let k be -2*(-5)\/10 - g. Which is bigger: k or -3\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -46. Let a be (1\/s)\/(22\/132). What is the third derivative of 16*j**2 + 2993 + 11*j**a - 2993 wrt j?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 3. Let p be 2\/4 + 28\/8. Let o be g(p). Solve o = -5*i + 4*m, -4*i + 4*m - m - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m + 3. Let q(r) = -13*r + 5. Let y = -19 + 13. Let g(v) = y*q(v) + 11*z(v). What is g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m = -43*m + 1008 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1443102123214 - 10?\nAnswer: 1443102123204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/20 and 3\/(-5) - (-8 + 2538\/330).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40460 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20328 and 71148.\nAnswer: 142296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4969.0010539 - 4969. What is a rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 7*r + 160 = 0. Calculate the highest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044534639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 1. Let y(q) = q**2 - q - 11. Let r(s) = -4*t(s) + y(s). Give r(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81.9 * -0.161.\nAnswer: -13.1859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 79.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*g + 3, -3*g + 10 = q + 3*q. Suppose 0 = 2*m + g*s - 20, 4*m + 16 - 84 = 3*s. What is the remainder when 26 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -c - 2, -7*c = -4*c + 3*j - 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -22, -22, -16, -4, 14, 38?\n\"Answer: 3*t**2 - 15*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/15*(-205)\/(-164)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((612\/1122)\/(8\/11))\/(64\/(-16))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*-3)\/3*51\/(-714)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1621 - -1.0621. What is the nearest to a in -0.141, 5, -2\/5?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2*v + 3. Let k(z) = z**2 + 3*z + 4. Let t(s) = 5*k(s) - 6*n(s). Let a(h) be the second derivative of -h**3\/6 + 2*h. Calculate 2*a(i) + t(i).\nAnswer: -i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -211021 (base 4) to base 5\nAnswer: -34002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1825 = 2*p, -3*c + 775 + 294 = -4*p. What is the greatest common factor of 33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/638033 - -251210975\/5742297. Let d = v - 293\/11. Is 18 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2952 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -5\/8, -3\/25, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13498239 take away 11?\nAnswer: -13498250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, -0.18, -620, -0.1, 0.3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 2508?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -39*d - 36. Let p(x) = -11*x - 10. Let r(y) = 5*i(y) - 18*p(y). What is r(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 7:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2 - -66) + (-28 - (-84 + 53)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 1. Suppose 4*u - m - 37 = 0, u - 10 = -2*m + 3*m. What is the least common multiple of u and w(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -457.2*-0.8\nAnswer: 365.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 - 7*m - 9. Let b be g(-5). Put -4, -3, 3, b in increasing order.\nAnswer: -4, -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:29 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18531, -18529, -18527, -18525, -18523, -18521?\n\"Answer: 2*j - 18533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:59 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - (-106)\/(-6). Let t be (-86)\/z - (-2)\/9. Suppose -t*u + 13 = -2. Solve q + 2*q = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1425a2 (base 14) to base 11.\nAnswer: -437545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -257, -265, -299, -371, -493, -677?\n\"Answer: -2*u**3 - u**2 + 9*u - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493247 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c6 + -36?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -26*9146\/(-9) + 7*(-8)\/(-252).\nAnswer: 2, 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -627 - -a?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213634817?\nAnswer: 83, 919, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 706524, 706516, 706508, 706500?\n\"Answer: -8*m + 706532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 89. Calculate the remainder when 20 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-9) + -3)\/((4 - 3)*1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 4*v. Let m(y) = -4*y**2 + 5*y. Suppose -13 = -4*k + 7. What is k*s(p) - 4*m(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*a**2*h**3 + a**2*h**2 + 4*a**2*h - 1191*a**2 - 27*a*h**2 - 16*a - 2*h**3 + 20402*h**2 + 2*h + 3 wrt a.\nAnswer: 82*h**3 + 2*h**2 + 8*h - 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31689 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -52 + 3 + (-8)\/2. Let h be (4 + -1)\/3 - r. Suppose -9 + h = 9*q. Solve 0 = -i - q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 1, h: 1, l: 1}. What is prob of picking 1 l and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, e: 5}. What is prob of sequence eze?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 215*f - 207*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2601891?\nAnswer: 3, 289099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.3835 + 0.0165. Round b to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6970 and -113\/10?\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -20258*p**3 - 14*p**2 - 31*p + 7. Let g be f(21). Let m = -249904815551\/1332 - g. Let l = -2772\/37 - m. What is the common denominator of 61\/4 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -8 + x + 1\/3*x**3 + x**2. What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-10)*(-79135)\/(-98). Calculate the highest common divisor of m and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 280 = 8*d. Let j = d + 707. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmy when four letters picked without replacement from {n: 1, y: 2, s: 3, m: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) -0.51 (c) 0.029 (d) 225\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a)\/((a\/a**11)\/a*a*a)*(a\/(a\/(a\/(a\/(a*a**(-2))))))\/(a\/(a\/(a*a\/a**6*a*a)*a)*a) assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*u + 6085 - 6085 as w + y*u and give y.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -196263 divided by -340\nAnswer: 196263\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -10*l - 7. Sort 8, l, -4\/7 in increasing order.\nAnswer: l, -4\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 79\/2 of a hour?\nAnswer: 2370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**5 - 21*i**4 - 27*i**3 + 201*i**2 + 384*i + 180 = 0.\nAnswer: -2, -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-40))\/(7\/(-21))*2\/(-2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.2. Let r = -0.34 + o. Let j = -0.46 + r. Which is the third biggest value? (a) -4 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 - 7 = 5*d, -2*q = -5*d - 23. Suppose v - q*g - 267 = 0, -4*v + 3*g = 450 - 1557. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 43*t = 126. Solve -2*z - 13 = -t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/13, -0.4, -4\/33, -4?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3466985 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 16 + 9. Let d be h*(-2)\/10*-2. List the prime factors of (d - -1) + (3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -444 - 2?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/72, -1\/7, -33\/5 in increasing order.\nAnswer: -33\/5, -1\/7, 13\/72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3065 + -3066.6. Put -7, -3, l in decreasing order.\nAnswer: l, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) 2\/7 (c) 0.16 (d) 7\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -9, 45, 1 in decreasing order.\nAnswer: 45, 5, 4, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121.000053 - 121. Round y to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 3 = 4*a. Suppose 5*t - a*t = 2. Let i(d) = 8*d**2 + 12*d - 23. Let z(h) = -3*h**2 - 4*h + 8. Let l(f) = 6*i(f) + 17*z(f). Give l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20773062804+-44\nAnswer: -20773062848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.44924586 rounded to three dps?\nAnswer: -192.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -2. Suppose 6*l + 5 = 17. What is the units digit of -2*j*1\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(4\/5)\/n)*n**(2\/21)*n)**(2\/49) assuming n is positive.\nAnswer: n**(482\/5145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 4920 = -4*k. Suppose -4*a - 37*a = -k. Solve 5*z + 25 = a*x, -z - x + 2 - 7 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.6, -4, -108?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21768384 divided by 1978944\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -23, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200021120012221 + -1?\nAnswer: -2200021120012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:34 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105)\/(-2) - (-98)\/196. Suppose o*l = 66*l. Let q be (-1 - 4\/37) + 1. Is l bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -515\/4 + 128. Suppose 1 - 2 = -w. Let c(o) = -o - 2. Let h be c(0). Sort h, i, w.\nAnswer: h, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxcxxxqqxxc. What is prob of sequence xxx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17863*z + 3888 = -18079*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13061633 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: Suppose -2*s = -m + 6*m - 17, m + 1 = 0. Let i = -24 + 29. Suppose i*b - s = 4. What is the remainder when 3 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -3, -1\/1813, 0.1, 0.3, 1?\nAnswer: -1\/1813","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/((-2)\/10). Suppose -g*h - 12 = 4*t, -t = -2*h - 0*t - 7. Let n be (-1)\/h - 6\/88. Which is the second smallest value? (a) -2\/5 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17474, 34925, 52376, 69827?\n\"Answer: 17451*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 637?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 40865.58 nanograms?\nAnswer: 0.00004086558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) + 1 + -2)**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(136) + (sqrt(136) + 1*sqrt(136)*-1 + sqrt(136) - sqrt(136) - sqrt(136)))*2)\/((3*sqrt(72)*1 - sqrt(72))\/(sqrt(225)*1)).\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-180)\/126 - (-3 + -1 - -3). Let w = 0.0226 + 0.0774. What is the smallest value in 24.1, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5793 - -1a9?\nAnswer: -55ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 920.2067 millilitres to litres.\nAnswer: 0.9202067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(63))**2*-6.\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -31*b - 58. Let p(w) = 2*w**3 + 3*w**2 - 3. Calculate p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -24*l**2 + 526*l + 2105. Calculate b(-4).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119143 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 165\/21 + -2 + 210\/1470. Solve 0 = d - t + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 15\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -8*y**4\/7 - 198*y**3\/7 - 72*y**2\/7 + 1832*y\/7 + 2496\/7 = 0.\nAnswer: -24, -2, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/((-286)\/39). Let u = 2 + 1. Put -0.5, u, q in decreasing order.\nAnswer: u, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 50736.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5605533 (base 8) to base 9.\nAnswer: 2751578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 46. Suppose -4*g + 12 + 0 = 0. Suppose 2*v = g*v - f. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(((g*g\/g**(3\/11)*g*g)\/g*g)\/g)*g**28\/g assuming g is positive.\nAnswer: g**(278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/20 - (-46)\/8. Suppose 2 = 2*q - r. Solve d + d - q = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 7. Suppose 0*q - 9 = 3*q. Calculate the least common multiple of j(5) and (4\/(-6))\/(2\/q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 101*d - 761. Calculate w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4)*(-332)\/747)\/((-5)\/((-390)\/16))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 65*h**2 + 26. Let b(k) = -2*k. Give b(n(s)).\nAnswer: -130*s**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.10294185 rounded to 0 decimal places?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 25*a - 2654. Calculate g(105).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/4 - s**3\/2 + 2*s**2 - s. Suppose -1134*u + 54 = -1152*u. What is y(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22779584 divided by -3008?\nAnswer: 7573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, -6, -406 in decreasing order.\nAnswer: -6, -145, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 653140 and 10115.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 116*k**3 + 170522*k**2 + 2882*k - 85267. Determine j(-1470).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10371.2 - -10371. Let j be 3 - (2 + (-1 - -1)). Let u be 2\/8 + j\/(-36). What is the closest to u in -1, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2, 0.47, 1\/1716?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8549.71 - 8489. Let z = w - -17.39. Let q = z - 78. Which is the closest to 0? (a) -2\/9 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 1030?\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 3*a - 10*a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7. Let 3*t - 2*t + y + t**2 + 0 + t = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12512 = 372*m - 389*m. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2806*s**2 + 12*s + 675. Let l(d) = -d**2 + 2*d + 10. Let z(n) = a(n) - 6*l(n). What is the derivative of z(c) wrt c?\nAnswer: 5624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 1, e: 3}. What is prob of picking 1 f and 2 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11601 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + 137. What is the remainder when u is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340.410484 - -312.4104866. Let i = 26.17 - -1.83. Let q = i + h. Round q to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.3, 0.5, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1177750, -1177772, -1177794?\nAnswer: -1177816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*z - 44, 4*x - 23 - 33 = -z. Suppose 5*o - 199 = 126. What is the highest common divisor of x and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:58 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4251, 8506, 12761, 17016, 21271, 25526?\n\"Answer: 4255*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7344)\/1920*-20*6\/27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 - -687. Calculate the greatest common divisor of 304 and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-128)*(-8)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00948 and 0.7.\nAnswer: -0.006636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-2310)\/112)\/((-14)\/(-16))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 10244991?\nAnswer: 6146994.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 13) to base 5.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 14*t + 2. Let y be b(-14). Factor -22 - 5*f**3 - 10 + 96*f + 0*f**3 - 32*f**y - 19*f**3 + 10*f**4.\nAnswer: 2*(f - 2)**2*(f + 2)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 4}. What is prob of picking 3 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -3, -0.02, -4\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96586182 a multiple of 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20501669, 41003348, 61505037, 82006742, 102508469, 123010224, 143512013, 164013842?\n\"Answer: w**3 - w**2 + 20501675*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 43*r - 40068. What are the prime factors of r?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180538 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87064 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, q: 2, c: 1, l: 3}. What is prob of picking 2 f and 2 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9968, 9987, 10026, 10085, 10164, 10263?\n\"Answer: 10*d**2 - 11*d + 9969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -43. Let g(y) = -3*y + 1. Give g(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q - 45*q - 210434 = 0. Let j = 10201 + q. Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-5))\/((-2)\/(-6)). Let d(p) = p**2 + 603*p + 2990. Let n be d(-5). Solve n - 6 = -q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32606 and 120788927.\nAnswer: 241577854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-32 - (29 + -67)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*t = 3*l - 141, -l - 3*t = -31. Let b(p) = 0 + 0*p - p + 3. Let i(n) = -6*n + 17. Let h(v) = l*b(v) - 6*i(v). Let c(k) = k**2. What is c(h(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-32 + 9 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a - -7?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = 0. Let w = 8529.3 + -8529. Let l = -227\/5 + 45. Which is the closest to l? (a) -0.07 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -233*p**6\/2 + 101*p**3\/3 - 4*p - 792. What is the third derivative of n(w) wrt w?\nAnswer: -41940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 56, 185, 460, 935, 1664?\n\"Answer: 9*i**3 - 8*i**2 - 2*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -357.485 - -357. Let p = 3.485 + z. Is p != -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 2) + 92 + (0 - 19) + -11.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2024103 minus 23.4?\nAnswer: -2024126.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*t + 122*t + 169*t - 65*t as j*t + w and give j.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3850132356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/30 and -143\/8802.\nAnswer: 44010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.84 - -64.84. Let u = j + -66. Suppose 4*h - i = -2*i + 33, -38 = -5*h + 2*i. Which is the nearest to h? (a) -0.4 (b) -1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 912136.1nm?\nAnswer: 0.0009121361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2 - 3674 + 64*b + 3930 + 2*b**2 + 3*b**2 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184926, -369826, -554724, -739620, -924514?\nAnswer: -1109406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/276*(-3)\/(6\/(-8)). What are the prime factors of l\/21 + 10141\/21?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 1, 44, -9, -23 in ascending order.\nAnswer: -23, -9, 1, 44, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 31. Let l(m) = -2*m. Let t be l(h). Let f(v) = -v + 19. What is f(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m + m - 8*m. Let u(g) = 11*g**2 - 6*g**2 + 5*g**2 - 7. Let h(a) = -9*a**2 + 6. Let q(r) = -7*h(r) - 6*u(r). Determine j(q(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**4 - 3*y**3 - 3*y**2 - y. Let c(o) = -3*o**4 - 2*o**3 - 2*o**2 - 2*o. Let p(a) = -3*c(a) + 2*q(a). Find the second derivative of p(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 32 = 2*o + 16, 2*j + 4*o = 22. Let x be -1*((-12)\/(-10) + -1). Sort j, x, 2\/3.\nAnswer: x, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 9) in base 10?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*h + h. Let g be (-20)\/(-16) - 6\/h. Suppose 0 = g*q - 7 - 1. Let i(j) = 2*j - 4. Calculate i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -0.17, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7662 = -13*h + 7847. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d)\/d)**(-46)\/(d**(-1\/4)*d**(-3\/2)))\/((d**(-1))**(-1\/2)\/((d*d\/(d\/(d**2*d))*d*d)\/(d\/d**3*d))) assuming d is positive.\nAnswer: d**(769\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 170. Solve 366*u - 3*u**2 - 11537 + u**2 - u**2 - v + 544 = 0.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 39*w + 68 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*s - 3*s + 18, 0 = q + 4*s + 3. Let b be ((-6)\/20)\/(q - 204\/30). Factor 1\/6*g**2 - b + 0*g.\nAnswer: (g - 1)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 2*s)*(-126805 + 126805 + 6387*s)*(-s**3 + 4*s**3 - 4*s**3).\nAnswer: -6387*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 133*q**5\/120 - q**4\/24 + 19*q**3\/3 + 9. Let g(d) be the third derivative of s(d). Is g(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - w = -8*w + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4897888093 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*d + 187 + 159 - 346.\nAnswer: 654*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zktxzfu. What is prob of sequence kxu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by -7.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/((w**(-7)*w)\/w))**(4\/9)*((w\/((w\/(w**(-1)\/w))\/w))\/w**(-5\/2))\/(w**(-1)*w**(-2)) assuming w is positive.\nAnswer: w**(89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 6. Let x = 5.7 - k. Let y = 4 + -3.7. Sort y, -1, x in decreasing order.\nAnswer: y, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.1 (c) 0.5 (d) 13 (e) -6 (f) 2.876 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 14443?\nAnswer: 14439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = -0*i. Suppose -2*t - 4*g = 10, i*g + 1 = t - 6*t. Solve 2*k = -t*k + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 81. Let c(u) be the first derivative of u**3\/3 - 2241. What is x(c(i))?\nAnswer: -3*i**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2444*q**3\/9 + 19558*q**2\/9 + 39152*q\/9 + 32\/3 = 0. Calculate q.\nAnswer: -4, -3\/1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*y - 1750 = 0, -1635 = -4*m - y - 230. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 32521*y + 195062. What is d(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 103524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.15 + -22.35. Let p = u + 24. What is the biggest value in -1\/9, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 2\/5*c**6 + 19*c - 35\/3*c**5 - 13*c**4 - 5*c**2 + 0 + 30*c**3. Factor b(m).\nAnswer: 4*(m - 15)*(3*m - 1)*(4*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/1972*51)\/((-2)\/((-4)\/9))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7872651 is divided by 168.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 + 165815*y**2 + 1372821855*y - 31662679635 = 0. Calculate y.\nAnswer: -16593, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22989 + -22988.999984012. What is r rounded to seven decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 98 + -40 + 1 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v*v**0\/v)\/v)**(1\/17)*(v**1\/v)**(2\/61))**(-40) assuming v is positive.\nAnswer: v**(-80\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from wofwu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -818048 + -8?\nAnswer: -818056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -68, 0.821 in descending order.\nAnswer: 0.821, 4\/5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/10*((-988)\/(-57) - -16). What is the highest common factor of 416 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -324. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 97 = -4*n, 0*d - 2*d = 5*n - 127. Suppose -n*r + 30*r - 29090850 = 0. Suppose 0 = 3*k + 808170 - r. Round k to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/4 - 14\/(-56). Let q(r) = -9*r - 2. Let c(f) = f**2 + 5*f - 2. Let b be c(-5). Let w be q(b). Calculate the greatest common factor of o and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 298 - 491 = 642. Calculate the greatest common factor of f and 13674.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1692760 and 8888.\nAnswer: 18620360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*r + 5*o - 23, -o = -r + 10. Solve 3*x + 22 = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 16. Let s = 0 - -2. Suppose -f - i*q = 4, -16 = -5*f - s*q - 0*q. Solve -3*w = f*p - 6*w - 10, -w + 3 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11012101012 (base 3) to base 16\nAnswer: -142dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.01 (b) -0.2 (c) 48 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o + 2*j = 0, -6 = -3*j. Suppose -o*q + 9*q = 90. What is the smallest common multiple of 5 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dldddldllldd. Give prob of picking 2 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151 - 68*u + 304 - 151 to the form p + n*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1779206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 9, v: 1, p: 3, k: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2394?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Suppose -2*r - 3*r = w. What is the second derivative of -k**5 + r*k + 5*k**5 + 2*k wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 349 = 5*k, -5*k + 4*x = -306 - 31. What is the highest common factor of 15 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1630*h**6*i - 174*h**4*i**2 + h**2*i**2 - 188560*h**2*i wrt h.\nAnswer: 195600*h**3*i - 4176*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k + 6. Let s be u(5). Let w = -0.18 + 0.38. Which is the smallest value? (a) w (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usvst. Give prob of sequence st.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 14210495.\nAnswer: 14210501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517.763 litres in millilitres?\nAnswer: 6517763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l + 33. Let i be f(6). Let z(j) = -3*j**3 + 4*j**2 + 3*j + 6. What is the units digit of z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 - 6 - 9 + 0 + 5 as a + m*l**2 + j*l and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 10.9. Let k = v + -11.00023. What is k rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 23*a - 16. Let n(v) = 5*v - 19. Suppose 3*d + 32 = 7*d. Let f be n(d). Is y(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - 8209*i**2 + 8021*i**2 to u + t*i + b*i**2 and give b.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -79, -191, -339, -517?\n\"Answer: f**3 - 27*f**2 + 4*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110011111000010100 - -10001?\nAnswer: 11110011111000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 381409979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5437 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 473, 734, 995, 1256, 1517?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let w(i) = -i**2 - 4*i - 4. Let a be w(-4). Sort a, d, 4.\nAnswer: a, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l - 3*r, 8*r = 4*r. Suppose 0 = q - 3*o - 8, 3*q - o = 53 + 3. Let k be q\/(-3)*(-6 - -3). Solve 5*f + 0*m - k = -5*m, -m - l = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/3 + 27*z**2\/2 + 18*z + 4. Let h be 2\/7 + (-174)\/21. Let g be o(h). What is the greatest common divisor of 44 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 1278.\nAnswer: 41\/1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 5*s**2 + 0*s**5 + 11\/24*s**4 + 1\/2*s**3 + 0 - 11\/210*s**7 + 1\/120*s**6 - 7*s. Find the second derivative of m(z) wrt z.\nAnswer: -132*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30624621 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(396)*2*-5 + sqrt(396))\/sqrt(11))\/(sqrt(588)*-2 + (-2*sqrt(768) + sqrt(768) - sqrt(12))))**2.\nAnswer: 243\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46541677 to the power of 1\/2, to the nearest integer?\nAnswer: 6822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -m + 2*m. Let k = m - -222. Suppose 3*w + 5*p - k = -w, -2*p = -3*w + 115. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 815770 and 708122?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2. Let v(c) = -c - 14. Let i be v(-9). Let j be -14*(-45)\/6*(-12)\/(-9). Let m(l) = -l**2 - 140 + j + 3*l**2. Determine i*z(q) - 4*m(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus 217568140?\nAnswer: -217568120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 255?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75332 divided by 13.\nAnswer: 75332\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32383058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 55. Let a be u(-11). Let w be (-12)\/27 + (-4)\/(-6). Is a > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**8\/42 - 2*d**7\/15 - 109*d**5\/60 - 147*d**2 - 3. Find the third derivative of u(m) wrt m.\nAnswer: 480*m**2 - 672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*l - l - 16*l)*(l + 2*l + l).\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/9)\/(4888\/(-234) + 21). Calculate the greatest common divisor of d and 1048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0.3. Let g = 370 - 371. Sort g, j, -0.2.\nAnswer: g, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1991 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2529 and 0.349.\nAnswer: 2529.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - a + 4*a - 4*a - 4*a**2 to x*a + u + i*a**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 844 and 844 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34392190 and 4760?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 5483?\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 3072*g + 24720. Calculate l(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 487 or 3?\nAnswer: 487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1200939.82000011 - -1200939.9. Let c = 0.08 - v. Round c to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -l - 3*l + 60, -b + 2*l + 22 = 0. Let h = 54 - b. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5000 divided by 2\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273720 - -344?\nAnswer: -273354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 575344?\nAnswer: 7479472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/(-175))\/((-1)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/22916 and -16\/4381?\nAnswer: 297908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100 (base 4) to base 14.\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51018\/231 - 135 - 22\/(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19482*l**3 + 468 - 468.\nAnswer: 19482*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 2*d - 8. Does 16 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 2 - 35*p + 136*p**2 + 75*p**2 - 1 wrt p.\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749 = 49*x + 112 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*x - 920*x + 2 - 6 + 3 - 596*x.\nAnswer: -463*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.3, -3, 0.149?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37029.65 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.4 + -1.4. Let b = -1 - -1. Let s = b - 0. What is the closest to s in -1\/2, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -33311\nAnswer: 1\/33311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/6 and 47\/18867?\nAnswer: 37734","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3*d**3*f + 106*b**3*d**3 - 1714*b**2*d**3*f + 14*d**3 wrt f?\nAnswer: -b**3*d**3 - 1714*b**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383, -1374, -1365, -1356, -1347?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9589 - 101*j + 131*j**5 - 9589 wrt j.\nAnswer: 2620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 4443381.\nAnswer: 8886762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:07 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**6 + 20*b**6 + 5*b**5 - 120 + 5*b**2 + 16*b**6 - 3*b**2 wrt b?\nAnswer: 3960*b**3 + 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**2 + 29*j + 0 + 1\/6*j**3. What is the units digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(931)*-5*-4)**2 + (sqrt(209)*-2*4)\/(sqrt(88)\/sqrt(32) + sqrt(11)).\nAnswer: -16*sqrt(19)\/3 + 1489600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23226 and 5117462.\nAnswer: 15352386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.7 - 6. Let j = 1.964 - -0.036. Is j at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110295964*o**4 + o**2 + 214119249*o wrt o.\nAnswer: -1323551568*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4699, -18783, -42249, -75091, -117303, -168879, -229813?\n\"Answer: q**3 - 4697*q**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 22. Let p(h) = 4*h + 33. Let n(i) = 5*p(i) - 7*r(i). What is the lowest common multiple of n(-9) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4550, -0.4, 0.4, -0.2, -54?\nAnswer: 4550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Suppose 0 = -o + u*c + 25, 0*o = 3*o - 3*c - 15. Suppose -3*x - x = o. Solve 2*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -122 - 5?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**10\/15120 + l**6\/72 - l**4\/8 + l**2. Let p(g) be the second derivative of d(g). Find the second derivative of p(x) wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 times -4813.66?\nAnswer: -1554812.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:24 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21930756 divided by 2\nAnswer: -10965378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/8)\/((-588)\/84*3\/(-42)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 11*w**6\/15 + w**3\/6 - 24*w. Find the second derivative of g(x) wrt x.\nAnswer: 264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1306 - -2003. Suppose 3*u = -4*w + 143, 3*w = -w + 20. Calculate the highest common factor of c and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -217*a**2 - 3*a - 22. Let g be f(-5). Let w be 1\/(-5) + g\/40. Let q = w + 190. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -fe6326?\nAnswer: fe6327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82222470 divided by 15870.\nAnswer: -5181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 1 + 14*x**3 + 4*x**3 + x**3 - x. Let u be i(1). What is the greatest common factor of 140 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*c - 228. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v - 0*v - 45 - 108 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = 1750. Suppose a = 4*h + h. Suppose -c = -6*c + h. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24388142.\nAnswer: 2, 23, 530177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 48*j**2 - 102*j - 55. What is m(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32882)\/12423 - (-7)\/(-3)) + ((-20)\/(-2))\/2.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -36c?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -90 + 115 - (0 - -8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/4 (c) -129 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -531*q - 6211. Let k(x) = 133*x + 1552. Let j(m) = 9*k(m) + 2*w(m). What is the derivative of j(a) wrt a?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1551, 2\/11, 456, 0.87?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, x: 2}. What is prob of sequence xaxa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 262517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4420396 + 1240*b**2 + 4420396.\nAnswer: 1240*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2007 - -2993. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2379 and 73424.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 28 - 1. Suppose t + 0*t = 0. Suppose 3*o - i = -t*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 5*n**2 + 2. Calculate u(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15881.991344 + 15882. Round i to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1503, -1468, -1423, -1362, -1279, -1168?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 + 356 = -8*q. Let k = -0.03 - -0.43. Let p = k - 0.3. Which is the second smallest value? (a) q (b) p (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14607\/7 or 2088?\nAnswer: 14607\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 10 + 2*-3. Let b = m + 6. Suppose 0 = 2*v, 2*w + b*v = -v + 6. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1625 + 1629. Put -1, -3, 2\/11, h in descending order.\nAnswer: h, 2\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 29 + 31. Calculate the remainder when u is divided by 5\/(-3 - -3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**2 - 121*m + 1583. Calculate o(13).\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-276)*(-26)\/2*(-30)\/130*-2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 18.7. Let v = 0.1 + -3.1. Which is the closest to 1? (a) 4 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 1927?\nAnswer: 7708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g**2\/2 - 1793805*g\/2 - 306257 = 0. What is g?\nAnswer: -43751, -14\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**2 + 3*g - 2. Let u = -2 + 2. Let d = -3 + u. Let o be j(d). Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 5316135?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 280372063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26143012 a multiple of 2191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(576)\/(sqrt(12)*-1))**2 - (-1 + sqrt(48) + -4)**2).\nAnswer: -100 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/9 - 4*j**4\/3 - 8*j**3\/9 + 12*j**2 - 10*j = 0.\nAnswer: -3, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 5*b**3\/3 + b**2 + 49*b + 89. What is the tens digit of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1. Let s be c(3). Suppose s*f = -1 - 3. Is f < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmzmuzu. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7*x - 5*x - 10 = 0, -3*h + 2*x + 4 = 0. Suppose 5*l - 4*s + 6 = -s, 4*s = 4*l + 8. Suppose l = 4*b - b + 15. Sort h, b, 0 in descending order.\nAnswer: h, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*x = -33*x + 3024 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1 in decreasing order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 14183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -80, 4, -0.0325?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221744, 443679, 665616, 887555, 1109496, 1331439, 1553384?\nAnswer: 1775331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12 - (-10)\/3. Let x be ((-12)\/((-8)\/f) - 4) + -3. Suppose 9 = -3*r - 6. Sort 4, x, r.\nAnswer: r, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in 2\/5, -1151, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2. Let k(a) = -7*a - 7. Let l(u) = -3*u - 3. Let j(v) = -2*k(v) + 5*l(v). Let c(f) = -10*f - 9. Let r(x) = 4*c(x) - 36*j(x). What is r(z(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 61. Let s(q) be the first derivative of -q**4\/4 + 2*q**3 + 7*q**2\/2 + 4*q - 51. Calculate s(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-147)\/(-28) - 1*4. Which is the closest to -5? (a) -5 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -86. Suppose 4*p = f*a - 77, -2*a + a + 59 = -3*p. Is p bigger than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001982776 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 3112 = 28*t. Let m = -380 + t. Solve 11 + m = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -36) + -5 + 16 + 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h + 7. Let b be k(6). Calculate the common denominator of (-4)\/30 - b\/55 and -115\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3449 take away 0.202831831?\nAnswer: -3449.202831831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by -5\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let x = -608 + 605. What is the closest to 6 in 1\/4, x, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 3. Let l be d(-4). Let a = -620 + 620.5. Sort -4, -3\/5, a, l in ascending order.\nAnswer: -4, l, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152fbe (base 16) to base 6.\nAnswer: 45432050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5095, 20210, 45347, 80506, 125687?\n\"Answer: 5011*t**2 + 82*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485186853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/18 and 125\/2292?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 + 236. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4629 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033481739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 + 2*s + 4. Suppose 2 = p - 1. Let c be q(p). Let t = -44 + c. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 9*r - 135*r = -r - 11748 for r.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(110) + (1*sqrt(110) - sqrt(110)))*2)\/sqrt(10))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 416.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 5*h - 3. Let w(i) = i**2 - 6*i + 4. Let z be w(4). What is j(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88 - 81) + (3 - 26)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*q**4 - 3*q**3 - 48*q + 1.\nAnswer: 912*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/(-240)*((-12)\/(-10))\/((114\/20)\/19).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:45 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 + 4*g**2 - 4*g + 2. Let k(i) = 11*i**3 - 9*i**2 + 9*i - 3. Let h(n) = 4*k(n) + 9*y(n). Find the first derivative of h(v) wrt v.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 2:29 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from dddddjjdjijdjjddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26054080 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378406652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 419 (base 10) to base 7\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5137620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:03 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, 35 in descending order.\nAnswer: 35, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490\/8085*(-1551)\/8.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*29803.\nAnswer: -1668968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29716437?\nAnswer: 3, 19, 23, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 9)*(-1)\/3. Suppose -3*l + 2*k = -l - 20, -d*l - 3*k = -40. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q + 60. Let s be m(5). Sort s, 51, -3 in descending order.\nAnswer: 51, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1792)*3 + (sqrt(1792) - sqrt(1792)*-4) + 4 - ((-2*(2 + 2 + sqrt(1792)))**2 + 0).\nAnswer: -7228 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 551683\/114 - 41727\/19. Let x = -2634 + h. Calculate the common denominator of -2\/9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 12*c**2 - 3*c + 28. Calculate k(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 - y + 83. Let s be q(0). Let f = -104 + s. Which is smaller: f or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (0 - 2 + 0)*(-6 + 1 - 5))*(-4*c - c + 4*c + 8*c - 10*c + 7*c + (-3*c + 3*c - c)*(3 - 4 + 2))*(c**2 + c**2 + 0*c**2 + 2*c).\nAnswer: 108*c**3 + 108*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-1 - 1 + 0) + 11 + 0 + 4 - 43 - 7 + 4)*(-2*v**2 + 2*v**2 + v**2).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((-2*sqrt(700)*-1 - sqrt(700)) + 2 + (sqrt(700)*2 + sqrt(700) + sqrt(700))*-6 + 5*(sqrt(700)*-2 + sqrt(700)))**2.\nAnswer: -2195216 + 4480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 9. Give z(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 0.4048.\nAnswer: -11.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45\/14 - -12\/7. Let y be ((-1)\/7)\/(2\/(-7)). Which is the biggest value? (a) v (b) -1\/6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35665006831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**5\/4 - 13*y**2 + 34*y + 28. Let b(o) be the first derivative of q(o). Differentiate b(k) with respect to k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lovl when four letters picked without replacement from {l: 2, o: 1, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 156*f**2 - 152*f + 147. What is v(-77)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135148 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -535?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 126*f**2 - 131*f + 445. Calculate z(125).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 47. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 s when three letters picked without replacement from {s: 3, r: 2, e: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1746121*p**3 - 448914*p**2 + 2*p wrt p?\nAnswer: -10476726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -237.3586 and 0.368?\nAnswer: -87.3479648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 3*i**3 + 2*i**3 + i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2441840, -4883680, -7325520?\nAnswer: -9767360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 175 + 4?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((1\/1)\/1). Let k(q) = 5*q**2 + u*q**2 - 6*q**2 + q**2. Let b(x) = x. What is k(b(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 755594.9867 to the nearest ten thousand.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3867*p - 11616. Calculate x(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 2*r - r + 2*n, 3*n + 234 = 3*r. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 - -527?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b + 4. Let j = -6 + 19. Let h(r) be the third derivative of -r**4\/8 - r**3\/3 - 1257*r**2. What is j*h(i) + 6*c(i)?\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 916 = 104*o - 100*o. Let v be (-45)\/(-60) + o\/(-220). Let s = -177\/110 - v. What is the common denominator of s and 131\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265*n**3*q**3 - 7*n**3 - 10*n**2*q**5 - 6*n*q - q + 108 wrt q?\nAnswer: 1590*n**3*q - 200*n**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 4*r + 0*r)*(-2*r + 2 - 2) + (2*r + 0*r - 3*r)*(r - 2*r - r).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*q**2 + 65*q**2 - 144*q**2 + (-q - 3*q + 0*q)*(-7 + 7 + 8*q).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 21. Let r = w + -24. Suppose -r = 4*g - 68. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13468, 3, 1, -2, 5, -1 in increasing order.\nAnswer: -13468, -2, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((192\/(-30))\/(-4))\/((-3)\/((-19140)\/8)). Calculate the highest common divisor of 1856 and m.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -275, -1113, -2509, -4463, -6975, -10045?\n\"Answer: -279*i**2 - i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24905, 90761, 197569, 345329, 534041, 763705, 1034321?\nAnswer: 1345889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p - 72*p - 72*p = -788. Let w = -509 + 745. Calculate the least common multiple of w and p.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/10 - 5*r**5\/12 + 7*r**2. Find the third derivative of y(i) wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 (base 8) in base 15?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*n + 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/(-4) + 2)\/((-27)\/72). Suppose 4*g + d - 44 = -18, 5*d + 2 = q*g. Solve -g + 18 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-23)\/(l*l**(3\/10))*l*l*l**(-7\/3)*l**(-16) assuming l is positive.\nAnswer: l**(-1219\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9037693?\nAnswer: 7, 17, 173, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000049787 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 2*s - 191. Let h be p(13). Solve -2*l = h*m - 0*l + 16, -5*l = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1341 = 4*p + 153. Let v = -1333 + 3250. Let a be v\/72 + (-3)\/(-8). What is the highest common divisor of a and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 - 4. Let m be l(-3). Suppose 8 = f + 2*w, 4*f - 7 - 13 = -m*w. Suppose f = 4*i - 3*i. Solve i = -4*s + 8 + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(13)*-2 + (-1 + sqrt(13))*-2 - (sqrt(1573) + (-5 + 2*sqrt(1573) + sqrt(1573) - sqrt(1573))))**2.\nAnswer: -406*sqrt(13) + 10982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1120 - 1260.8. Let b = 141 + z. Put 5\/4, b, 5 in ascending order.\nAnswer: b, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4994 + -4984. Solve 0 = -2*s - f*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 59. Let v = k - -35. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*16\/6*(-11202)\/(-9335)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -400.7 + 404.7. What is the nearest to -2\/17 in -1\/5, 0.1, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 902.2232 centuries?\nAnswer: 9022.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 92. Let d = k + 31. Solve -d*j + 0*j + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363083?\nAnswer: 7, 51869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/45980 and -127\/41800.\nAnswer: 459800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1544022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46127*i**3 - 42347*i wrt i?\nAnswer: -276762*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1) - 0\/(0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose n*a - 10 + 2 = 0. What is the lowest common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7045029.\nAnswer: 3, 19, 31, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 3*a**4)*(3 - 2 + 1).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 - 10*k + 8. Let b be r(7). Suppose 23*i = 6*i - b. Let g = -58 + 60. Put -4, i, 31, g in ascending order.\nAnswer: i, -4, g, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 69358647\nAnswer: 4\/69358647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by (-21 - -2)*-1*(2 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4133 (base 5) in base 13?\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005686291 to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 107 = 3*l, -4*m + 39 = l. Suppose 139 = 5*n + 4*f + 12, n + 4*f = l. Solve -n = 5*z + 2*g, 5*z - 3*g - 5 = 2*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/226 and 79\/16.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 - 15*u**2 - 24*u - 15. Suppose -16 = -5*n - 6. Let t = -5 + n. Let q(i) = i**3 + 1. Let p(r) = t*q(r) - c(r). Find y, given that p(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.48 * 3430.\nAnswer: -1646.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12 - 1 + 46082*c**3 - 188882*c**3.\nAnswer: -142800*c**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.33, 5, 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-6445)\/(-2250)) + -50 + (-58656)\/(-1175).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7180 is divided by 171.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 894 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.8 and 8507.41.\nAnswer: 66357.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (10 + -1 + -6 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w = -6, -w = 3*i + 12. Let n(u) = 243203*u**2 + 4*u - 55. Let d be n(i). What is d rounded to the nearest one hundred thousand?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.09 (c) -0.5 (d) 0.3 (e) 30\/71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 - -130. Let i = m + 81.5. Which is the closest to 2\/5? (a) i (b) -2\/3 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -930, -3709, -8334, -14805?\n\"Answer: -923*v**2 - 10*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4180.47 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12733 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 18*c - 95 - 2, -5*m = -0*c + 4*c - 15 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, c: 7, p: 7}. Give prob of sequence pcpc.\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 87 in increasing order.\nAnswer: -4, -2, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 + h**3)*(5795 - 5795 + 1625*h).\nAnswer: 1625*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -1.2 (c) 1 (d) -873\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87345761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8260\nAnswer: 8258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1980525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/2843712 and 67\/1421856?\nAnswer: 2843712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h + 199 = -5*s, h + 155 = -4*s. Let u be 2\/(-1) - (s + -2). Let k = u - 25. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:52 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -1, -16, -0.1, 1\/84 in ascending order.\nAnswer: -16, -1, -0.1, 1\/84, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15*x + 20*x - 1 = 0, -3*w - 7 = -5*x. Suppose 3*b = 5*r + w, 11*r = 9*r. Sort 8, b, 3.\nAnswer: b, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-3 - 0) - (-9 - -23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 26*d + 21. Let r be b(-11). Is -1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -40191 at least as big as -120571\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021985 to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)*y*y*y*(y\/(y\/(((y*y**(-2\/7)\/y*y*y)\/y)\/y)))\/y*(y\/(y**(-3\/5)\/y))\/(y*y**3*y))**(7\/3) assuming y is positive.\nAnswer: y**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 2618?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -627080, -1254161, -1881242, -2508323, -3135404?\nAnswer: -3762485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(-5 + (sqrt(448) - 2*sqrt(448))) - (4 + -1*sqrt(448) + (sqrt(448) - ((-2 + sqrt(448))*3 + sqrt(448)))))**2 + 2.\nAnswer: -720*sqrt(7) + 4255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1040 by -4.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/17)*q*q**(-1\/8))\/(q**(2\/5)*q*q\/(q\/q**(-4))*q) assuming q is positive.\nAnswer: q**(3123\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - 3) - (-8 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -13233\nAnswer: 7\/13233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-3))\/((-25)\/10))\/((-17)\/85)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.21 less than 13?\nAnswer: -152.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55937311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k - 11 + 2*k**3 + 109*k - 11 + 9*k.\nAnswer: 2*k**3 + 100*k - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-4 - (-39)\/9)*-15. Let f be 38 + 5\/u + -4. Solve -5*r - 5*c = -5, 2*r = 7*r - 5*c - f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (6 - 4)\/(-1 + 0). Suppose -2*p - 5*r + 23 = -3*p, 0 = -4*p + 3*r - 7. Suppose -h*z + 2*t + 159 = -z, p*t + 66 = 2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 + 21*u + 358. Let m(r) = 11*r**2 - 37*r - 717. Determine -4*m(z) - 7*p(z).\nAnswer: -2*z**2 + z + 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 1512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 2*s - 9. Let m(n) = -5*n**2 + 2*n + 8. Let c = 6006 + -5999. Give c*m(t) + 6*a(t).\nAnswer: -5*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141378 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -103211 (base 5) in base 2?\nAnswer: -110111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112893539834*r**2 - 10 + r**3 + 112893539834*r**2.\nAnswer: r**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -23. Let n = 4 + 0. Calculate the least common multiple of v and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 15\/((-225)\/(-70)). Let m(w) = -4*w + 16. Let s be m(z). Suppose 4*p - 3*x - 13 = s, -4*x - 7 - 1 = 4*p. Solve -y + p + 0 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxpxopqvppmpxqq. Give prob of sequence xq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23339?\nAnswer: 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22110 + 310301230?\nAnswer: 310330000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11467 + -5695. List the prime factors of m.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403728 = -97*a + 3603661. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 15) to base 4\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 28. Let p(z) be the first derivative of 0*z**5 - 1\/3*z**3 + 0*z + 0*z**f - 2 - 1\/3*z**6 + 0*z**2. What is the third derivative of p(o) wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 101 + 108 - 4*l**2 + 97.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*r*y**2 + 2*r - y**4 - 37 wrt y?\nAnswer: 96*r*y - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20518 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 45068?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(72) + 0 + (sqrt(72) - (4 + -2*sqrt(72))) + (-1 + sqrt(72))*-2 + 2)*-1)**2.\nAnswer: 384*sqrt(2) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**40\/(u**(-2\/5)*u**(-3))*(((u**2*u)\/u)\/((u\/u**(-4\/3))\/u))\/((((u\/(u\/(u**(-2\/5)*u))*u)\/u)\/u)\/((u*u**5*u)\/u*u)) assuming u is positive.\nAnswer: u**(772\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8*f + 6*f - 1142, 752 = 2*h + f. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -9. Suppose -j = 3, 0 = 3*w + 5*j + 40 - 484. Suppose x + w = 4*x. Calculate the remainder when x is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1 + 205*u - 467*u + 143*u + 149*u. Let a(n) = n + 1. Calculate 3*a(q) - 3*t(q).\nAnswer: -87*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1413555\/156 + 5\/(-4). What are the prime factors of 3\/(-12) + s\/16?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56672055 by -405.\nAnswer: 139931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwrcjrqwywwwccw. Give prob of picking 1 j, 2 r, and 1 y.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 3*r + 8. Let h be y(4). Suppose 10 = 5*b - 3*v, h*b + 13 = 5*v + 34. Is b at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9053 + 795.0947. Let h = -0.955 - -883.155. Let b = h - f. Round b to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 15\/151 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44503 divided by 3\nAnswer: 44503\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266010132?\nAnswer: 2, 3, 31, 41, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 157823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 9. Let v be a(-5). What is the remainder when 0 + 34 - (v - -2) is divided by 6\/3 + (-10)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*k - 16430 = -540*k + j, 4*k - j = 13145. What is the remainder when k is divided by 1638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 56 = 3*i, 5*p = -i - 2 + 15. Let n = 1 + 31. Let k be n\/12*(-1)\/i. What is the nearest to -0.1 in 0, k, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 0.1 (c) -8 (d) 406\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 180141.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/12 + 33*c**3\/2 - 89*c**2. List the prime factors of d(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**3\/6 + 3170*a. Let x(h) = 112*h - 21. Calculate p(x(j)).\nAnswer: -112*j + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u. Suppose 4*n = -n + 80. Let t(z) = -2*z - n + 16. Determine t(x(o)).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 7827 - 7593. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvtcxvvtxutvxttt. Give prob of sequence uxvv.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i**4 + 294*i**3 - 33*i**2 - 1626*i + 1320 = 0. Calculate i.\nAnswer: -5, -4, 1, 22\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4 (c) -0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 531 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u + 3*t, -2*u - 5*t + 24 = -0*u. Suppose -3*d - u*v = -26, 2*d - 7*d + 35 = -5*v. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -10, -9, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (1 + ((-4*(sqrt(128) + 0 - sqrt(128)))**2 - (2*sqrt(128))**2*2))*-6 + 2)*5.\nAnswer: 30683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 4 + 3*u + 6*u - u + 2*u**2. Let a be x(4). Solve -2*o - 8 = -a*n + o, -2*n - 3*o = 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 2*a**2 - 4*a. Calculate n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**3 - 3*m**2 - 3*m + 3. Let z be i(-3). Suppose 0 = -h + 4*h - z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006727 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -16. Suppose -g*q - 8 = -11*q. Suppose -5*h + 31 = z, 2*h - 5*z - 5 = q. What is the remainder when 22 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1184.576 to the nearest ten.\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 57293*l + 8001423. Give b(140).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4683 = -362*h + 7625 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 4, a: 1, r: 3, g: 1, j: 2}. What is prob of picking 1 e, 1 g, and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*r**3 - 8*r**2 + 38*r**3 - 17*r**3 wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 60. Suppose 3*d - 5*p - r = 0, -5*d + 0 = -3*p - 30. What is the third derivative of -83*t**4 - t**d + t**3 + 39*t**2 + 98*t**4 wrt t?\nAnswer: 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/42*4*2\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196*m**5 + 95*m**2.\nAnswer: -11760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 77.\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 42*h + h**2 + 17*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183 + 2?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u - 50 + 9*u - 2*u as v*u + r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 12b5c?\nAnswer: 12b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*z = 0, 0 = 4*f - 3*f + 5*z - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 4. Suppose 3*j = 2*g - r, 0*j - 3*j + 10 = 4*g. Sort 3, -3, g.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -412 + 854. What are the prime factors of w?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 488 = 1472. Suppose s - 130 = -7*q. Suppose 2*g - 7 + 1 = 0. Sort g, q, -3, -2 in descending order.\nAnswer: g, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 50 - ((38 - 3) + -24 + 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4100 and -193\/3690.\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**3*q))**(-2\/53))**(-5\/6) assuming q is positive.\nAnswer: q**(-5\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -90. Suppose 0 = -9*n + 4*n + u. Let b = n + -6. Calculate the least common multiple of 5 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (14260\/(-651) + 22)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Let z = -0.1 + t. Let i = z + 0.51. What is i rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2)\/sqrt(6) - sqrt(11) - (-2*sqrt(11) + -1))**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13\/c**(-4))**(1\/4)*(c\/(c**(-2)\/c))**(16\/7)*(c*(c*((((c*c**(2\/5))\/c)\/c)\/c)\/c)\/c*c)**24 assuming c is positive.\nAnswer: c**(-141\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 5*b + 9*b + 8, 0 = -4*s - 4*b + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/449 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-18)\/(-8)))\/((-284)\/(-639))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + 1412240?\nAnswer: 1413012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33534 and 6354693?\nAnswer: 12709386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 327, 407, 487, 567, 647?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.8643?\nAnswer: 0.17286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/612)\/(3\/(-54))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -143.5. Let m = -1.242 + 1.272. What is the second smallest value in 0.2, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90.499567 + -90.5. Round b to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8320 divided by 16\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(104)*-2 + sqrt(104)))\/sqrt(8).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -22\/1523, -2\/25, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2 - (-40)\/5. Suppose 3 = -3*y + b*y. Let c be -1 - (2\/y - 3). Solve c*o = 4*o, -4*o = 5*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 19 - 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*y = -670 - 276 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721565406 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + q = 515, 19*a + 864 = 24*a - 4*q. Let b = a + -863\/5. Suppose -2*v = y - 2*y + 8, -5*y - 30 = 4*v. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7820926, -7820931, -7820938, -7820947, -7820958?\n\"Answer: -b**2 - 2*b - 7820923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**2))**43*(c*c**(-2\/31))\/c**(-6))**(2\/21))**(-1\/15) assuming c is positive.\nAnswer: c**(1634\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from mummmmmmmmmmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-676)\/104*(-24)\/26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3*(x\/x**(-17))\/x*(x**(1\/8))**(-21\/8) assuming x is positive.\nAnswer: x**(1259\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125343587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 50*q**2 - 267*q - 4021. What is the tens digit of c(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 24*l - 8. Let r be (0 - 8)*l\/16. What is the derivative of 662*b + 29 - 662*b - 8*b**r wrt b?\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.96 - 5.04. Put 1\/2, 3\/7, a in increasing order.\nAnswer: a, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1039 (base 15) to base 6.\nAnswer: -23513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 3*l**2 - 2*l - 1. Let j = -9 + 0. Let w be (-1)\/(((-15)\/j)\/(-5)). Give z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58215235.\nAnswer: 5, 13, 229, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -613 + 613 + 15*g**2 - 13*g**2 - 1210*g as b*g + v*g**2 + r and give b.\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100 + 97 + 0 + -15 - -3) + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Let r = 16 - l. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**5 + 4130*u**4 - 144380*u**3 + 1732280*u**2 - 7978880*u + 12387200 = 0?\nAnswer: 4, 14, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) + 6\/21. Suppose 4*x - 4*w - 40 = 0, -4*w = 89*x - 86*x + 19. Solve -4*z - 5*f - 3 = m, x*z + 11 = -0*z + 5*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(847) + sqrt(847) - ((1*sqrt(49))\/sqrt(7))**2.\nAnswer: -7 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8510078?\nAnswer: 2, 4255039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21508266 divided by -1311.\nAnswer: -16406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -667*y + 673*y - 198. Let h(b) = b**3 - 26*b**2 - 40*b + 8. Is h(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269568.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -279 + 280. Calculate the lowest common multiple of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**2\/12 + 163*x\/12 + 23\/6.\nAnswer: (x + 23)*(7*x + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 107*f**2 - 2100*f + 21. Calculate z(17).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 1:55 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16*8\/(-6). Let n = 173 + -173.2. What is the nearest to n in v, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 3 + 3 + (0*a + 2*a - 5*a)*(-2 + 1 + 3))*(-3*a + 3*a - 3*a**2) as p*a + b + s*a**2 + x*a**3 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 38*x + 1. Let r be j(1). Let i = r - 20. What is the greatest common factor of 19 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-27))\/((-2)\/138). Which is greater: x or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m**0*m)))\/m*m*m\/m**(-2\/5))**(-47))**3 assuming m is positive.\nAnswer: m**(-2397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:28 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - 6*(sqrt(130) + sqrt(130)*1 - sqrt(130)))\/sqrt(10))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66.9983 + -67. Round x to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 + 7 + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*v - 139*v + 32. Let z be (10\/v)\/(3\/24). Solve -5*g = -2*o + 4, -5*o + 0*o = -5*g - z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 1, g: 1, r: 6}. What is prob of sequence rga?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -12. Let m = h + 6. Solve -m*v = q + 21, 0*q = -4*q + v + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**2 + 91*k - 99. Let h be v(14). Let u = 1.34 - 0.34. Which is the third smallest value? (a) h (b) 19 (c) -5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 168. What is r(23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (893\/(-95))\/(3\/(-30)*2). Suppose 15*o - 12*o - f = 2*w, 3*w = -5*o + 91. What is the highest common factor of 425 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -0.9, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-912)\/19)\/24*8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.098428 and 3.1.\nAnswer: 3.001572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oare when four letters picked without replacement from {o: 1, r: 2, a: 1, e: 2, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 2*z = 5*l + 29, 3*l = -3*z - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**4 + 55*v**3 - 55*v**2 - 5. Let l(m) = 3*m**4 - 24*m**3 + 27*m**2 + 2. Let j(f) = -5*l(f) - 2*x(f). Let j(y) = 0. Calculate y.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87102 and 783918.\nAnswer: 783918","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)\/w**(4\/3))**(-15\/2))**(-47) assuming w is positive.\nAnswer: w**(-705\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 + 202*v**2 + 116*v - 1113. Calculate d(51).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-5)\/k))\/(k\/(k\/k**(1\/13)))*k**(1\/6)*(k*k**(-3))\/k)**42 assuming k is positive.\nAnswer: k**(2233\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m - 3. Let n be (m + 4)\/((-6)\/4). Let j(b) = b + 9. What is the units digit of j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 - x - 1. Let m be w(1). Let q = m + 25. Solve 4*t - 6 = -2*k + 10, -3*t + q = -2*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 211631, 423179, 634737, 846311, 1057907?\n\"Answer: d**3 - d**2 + 211544*d + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7)*c)\/c**(-9)*(c\/(c*c**9))\/c**2)\/((c*c**(-1))**(-2\/39)\/((c**2*c)\/c**3)) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, z: 1}. Give prob of picking 1 v and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2)*8*(-1)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -2\/7, -1\/36.\nAnswer: -3, -2\/7, -0.1, -1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2. Let a(t) = -62*t**2 - 19*t - 51. Let w(h) = -a(h) - 3*k(h). What is the units digit of w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001 (base 3) to base 16.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -3. Suppose -5*q + 15 + 26 = 4*v, -q + 3*v - n = 0. Let p(l) = -7*l + 325. Let u be p(46). Solve q*f + 11 = -u*r, 3*r - 6 - 3 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62061037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 4*d - 6. Suppose -3*o + 6 = -o + 4*x, 5*o - 15 = -4*x. Suppose o*b - 23 - 4 = 0. Calculate the remainder when b is divided by f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -14. Let c(r) = -r + 1. Let i be 30\/4*(-10)\/15. What is the remainder when g is divided by c(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose -5*d - 53 = -x*v, -2*v + 20 + 11 = d. Suppose 0 = -3*q + 97 + 86. What is the remainder when q is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/7 (c) 1 (d) 2\/267 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 5. Let c(s) = s + 4. Let v(h) = -5*a(h) + 6*c(h). Calculate v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/6 + 4*z. Let w(d) = 30*d**2 - 10. Let s(m) = 10*m**2 - 1. Let g(x) = 10*s(x) - w(x). Give g(b(q)).\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:24 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2025))\/(sqrt(45)*6)*-2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2682 + -2649. What is the least common multiple of 1347 and y?\nAnswer: 14817","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let a(d) be the first derivative of 3 + d - 1\/6*d**3 + 0*d**2. Let v(i) be the first derivative of a(i). Give v(h(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2 and -83\/10226.\nAnswer: 10226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 13*s + 18. Let z be o(-14). Let x be 27\/36 + 5\/z. Let t = -2 + 4. Solve -t*g + x*b + 2 = -6*g, -3*b = 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 15 = 48*w - 43*w, 2*t - 3*w = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-378)\/63 - 1052\/(-8)*(-2)\/(-47). Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -8 - (1 - (3 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -26. Suppose -3 - 1 = 4*p. Let t = p + 5. Solve t*d + n = 2*a, -4*a + 6 = d + 2*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + 238. Suppose a = 22*x + 120. Solve 2*w = -o + 3, 5*o - 3*w - x = -0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 134124?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100383925 is divided by 91?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = -7. Solve -t = -4*l + 14 + 6, 2*l - 10 = -a*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 16, c: 4}. Give prob of picking 1 c and 1 h.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let l(g) = -4*g - 2. Let i(f) = -f**2 - 6*f + 4. Let o be i(-7). Let m(j) = o*v(j) + l(j). Let a(p) = p. Let h(t) = 5*a(t) + m(t). Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -4. Suppose -5*y = -c - 19. Calculate the highest common divisor of 15 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mmmmxmx.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 6*r**2 + 4*r + 11. Let u be d(-5). Let c = -2 - u. What are the prime factors of c?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -43, -62, -81, -100?\n\"Answer: -19*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15990 + 19772. Is 61 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - w**3 - w**3 + 2 - 38*w**2 + 34*w**2 to the form m*w**3 + g*w**2 + b + z*w and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - -2 - -12*4\/(-12). Suppose 4*j + 2*h + h = 16, l = 2*j - 5*h. Solve -10 = -j*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q - 80. Suppose -231*j = -230*j - 11. Let g(h) = 3*h - 28. Let w(c) = j*g(c) - 4*b(c). What is w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*v + 284*v - 131*v - 8 to x*v + m and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210629446*j*p - 3408627*p - 12 wrt j?\nAnswer: -210629446*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1 + 1) - 1. Let d = -1515.023 + 1519. Let b = 0.023 + d. Which is greater: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.713 and 0.5.\nAnswer: 11.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 22 = -5*m - 7, 3*i = -3*m + 27. Let g = m + 2. Solve 0 = -4*j + 24 - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*r - 5892 = -227*r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/7)*k\/(k\/((k*k*k**(-2\/5))\/k))*k*k**(-1\/10)*k\/(((k\/(k**(-6)*k*k*k))\/k)\/k) assuming k is positive.\nAnswer: k**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3589 = -493. What are the prime factors of x?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28849, 115221, 259123, 460555?\n\"Answer: 28765*d**2 + 77*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -51.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267028 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 + 5*z - 7. Let q(r) = r**2 - 1. Let m(g) = 2*j(g) - 14*q(g). Find the second derivative of m(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+1837\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 6*x - 3. Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6564 and 0.14?\nAnswer: -0.091896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1983 + 1985. Let p be 4 - 2*(-2)\/(-4). Suppose -2*i - p*c + 67 = 3*i, 0 = -4*c - 4. What is the highest common factor of i and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 401643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m**3 - 2*m**2 + 1. Calculate b(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 1. Let o(x) = -2*x - 3. Let w(u) = -o(u) - 3*r(u). Let j(c) = 2*c**2. What is w(j(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -135\/4. Let q = -267 - -266.922. Let o = q + -0.322. What is the third smallest value in u, o, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 28*f**2 - 12*f**2 - 8*f**2 - 56*f**3.\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*u + 7 + 79*u + 77*u to m + x*u and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 3781203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(1*(-3)\/(-30)). Solve -b*j - 4*v + 11 = 43, 0 = -2*j - 5*v - 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104601427 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121 + 5?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69579626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + 1 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33802111 and 1372?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1947, -3750, -6863, -11286, -17019, -24062?\n\"Answer: -655*n**2 + 162*n - 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeawwfaaeaaeaaeaa. Give prob of picking 2 e, 1 f, and 1 w.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 135. Suppose 2*v - p = -s - 0*s, 0 = s + v - 36. What is the remainder when 129 is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2486, -2611, -2962, -3653, -4798?\n\"Answer: -19*q**3 + q**2 + 5*q - 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 48. Let j be p(-25). Does 9 divide 1\/(-4)*j*(-2 + 110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**5)\/z*z**(8\/5))**16 assuming z is positive.\nAnswer: z**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 39639.17g?\nAnswer: 39639170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/2 of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1563 = 135*q - 130*q + h, h = 3*q - 941. Solve -q = t - 308 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -3 - -102 - -3. Let t = w + -47. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717639 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cbf8 (base 16) to base 8.\nAnswer: -145770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s - 14*s - s - 2*s**3 wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 84 + 96. Let f be (-625)\/(-10)*(b\/(-5) + 0). Is f at most as big as 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-100))\/(4\/((-16)\/(-3)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-207)\/(-6)*(4 + -3 + 1) is divided by 91\/5 + (-1)\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33800*c**3*i**3 - 15954825*c**3*i + 31*i**5 wrt i?\nAnswer: -202800*c**3*i + 620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 2345, 3494, 4587, 5606, 6533, 7350?\nAnswer: 8039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 30*r - 101*r + 12.\nAnswer: -131*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2480881*q - 4872476 wrt q.\nAnswer: 2480881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 17*k + 21. Let w be o(-18). Sort 5, w, -5, 1 in decreasing order.\nAnswer: 5, w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -3 + (-2 - -2) + (-4 - -8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23679?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/12 + (-7875)\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 20*p**2 - 78*p - 32. Calculate l(11).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -178831, -42, -13 in descending order.\nAnswer: -3, -13, -42, -178831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (790\/(-6162))\/((5\/(-150)*-25)\/(3\/(-27))).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22790d (base 14) to base 9.\nAnswer: 2177620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -15820\/13 and -1218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/730 and -53\/1168.\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010102111 (base 3) to base 7.\nAnswer: -121444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -3. Calculate the highest common divisor of 132 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42054.296 less than -4398?\nAnswer: -46452.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 7*d**2 + 10*d + 3. Let y be z(-5). Suppose -y*p = p. Suppose -3*v + p = -210. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2665690 divided by -2\nAnswer: -1332845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/28)\/((-3)\/21 - 0). Suppose 2*i = 4*i - 2, -r*z - 5*i = -121. Let u = -62 + z. Sort 5, 0, u in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(8)\/sqrt(4)))\/((sqrt(110) + sqrt(110)*-3)\/sqrt(10)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwiwwiww.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-3 + 54\/15). Solve k = -5*o - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 1\/60*a**4 - 1\/30*a**3 - 2*a**2 - 1\/300*a**5 + 0*a + 4. Let u(y) be the second derivative of r(y). Factor u(s).\nAnswer: -(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.32? (a) 0.2 (b) 23 (c) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/(22\/33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3 - 4476808*x**2 + 13430396*x - 8953592 = 0.\nAnswer: 1, 2, 1119199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 74*p**3 - 5. Let m(x) = -1110*x**3 + 74. What is -74*j(a) - 5*m(a)?\nAnswer: 74*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3754 is divided by 186?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (945\/(-315))\/((-1)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {t: 1, z: 2, n: 2, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000534 to seven dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 2095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 2*t - 8. Let b be z(-6). What is the highest common divisor of 144 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 10030333?\nAnswer: -10031010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.72, -1, 33, 5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -76 - (200 + -276).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 2*l + 16, l = -5*a + 2*l + 24. Solve -a*m - n = 2*n + 4, 0 = 2*m - n + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -9. Let o be 5 + p + -4 - (-5)\/(-7). Which is the closest to 0.2? (a) o (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c7 + 2?\nAnswer: 5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 759881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 19. Let t(f) = f**3 + 3*f**2 + f - 2. Calculate t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*p + 25*p + 25*p + 6*p + 23*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v - 9. Let x(p) = p + 1. Let f(i) = -2*x(i) + y(i). Let c be f(-6). What is the highest common divisor of 185 and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029340539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/((j\/(j*j**(-3\/2)))\/j)*j**12*j*j\/((j*(j*j\/j**12)\/j*j)\/j)*j*j*j*j**(-3\/4) assuming j is positive.\nAnswer: j**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/9 + 16558*v**3 + 3374654*v**2\/3 - 21291118*v\/9 - 10422020\/3 = 0?\nAnswer: -74443, -70, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171927 times 6?\nAnswer: 7031562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 8*c + 129 = 0, 35*a - 84*a - 72 = -48*a + 5*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n. Let t(y) = -2*y**2 + 10*y + 3. Let g(v) = -t(v) - 3*u(v). Let r(b) = -b - 1. Let w(a) = g(a) - 4*r(a). What are the prime factors of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 7 - 6)*(0*p - 4*p + 2*p) as h + s*p and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12\/11)\/n)**33 assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1017\/5*i - 3\/5*i**2 = 0. Calculate i.\nAnswer: -339, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 = -5*s, 4*s + 3*i - 2 = 3*s. Let p = s - 0. What is the second derivative of -6*t**2 + 6*t**2 + t**p + 4*t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 339, 0.03, 0.29, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:27 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 71*y + 3 + 6 = -73*y, -27*r + 2*y - 17 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyruhrxjhrruy. Give prob of picking 1 j and 2 y.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2402 + 2492. What is the highest common divisor of q and 4392?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 1 - (1 - 17). Let a(p) = 7*p**2 + 36*p - 2. Let i be a(-6). What is the greatest common factor of i and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - -9 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*a**2 - 1036*a + 1036*a - 110*a**2 + 223*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/153)\/(17 - (-392)\/(-24)). Put 3, 0, m, 2\/39, -5 in descending order.\nAnswer: 3, 2\/39, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 18 = -4*w. Let n = 13 - w. Suppose 4*h + 3*d - 577 = 448, -2*d = -n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*t + 55*t - 1021 + 384.\nAnswer: -2*t - 637","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 47*s**3 - 21*s**2 + 26*s - 8. Let z(a) = 4*a**3 + 2*a - 2. Determine -r(v) + 12*z(v).\nAnswer: v**3 + 21*v**2 - 2*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 8628. Is (-2)\/(4 + (-8634)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 4*t + 28, -33 = -4*u + t. Suppose 2*q - 395 = -3*q. Suppose -9 = 5*g - q. Calculate the remainder when g is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 24. Let v be z(6). Let g be (-1 - 11)\/((v\/4)\/1). Suppose -g*i = 2*i - 1770. List the prime factors of i.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26500 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4.5. Let k = -0.9 + i. Which is the nearest to -1? (a) k (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (12\/(-2))\/3. Suppose -10 = -6*j + 14. Suppose s*f - j = -f. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -4. Suppose m*r - 3*r - 20 = 0. Suppose 378*s - 9537 = -1599. Calculate the remainder when s is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 7*k + 3. Let i be s(-7). Suppose -o + i*o - 84 = 0. Let z = -19 + o. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 42\/56 + -146*1\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -2220341?\nAnswer: -2220344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 27*p - 7515 - 32505. List the prime factors of p.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 2, o: 3, m: 2, g: 1, q: 3}. Give prob of sequence qgt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 33*n + 243. List the prime factors of m(31).\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/((-290)\/20))\/(16\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from srsssssrssssssssssss?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v - 17. Let w(o) = -4*o - 8. Let j(t) = -4*t - 9. Let h(p) = 2*j(p) - 3*w(p). Let d(b) = -4*b**2 + 8. Let z be d(2). Calculate z*h(a) - 3*l(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284911632*h**2 + 89750697*h wrt h.\nAnswer: -569823264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5491 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 - 74 = -5*g. Let q be -1 + -3 - 16\/(28\/g). Do -15\/26 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - -4 - (-10 - -4) - 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Suppose 0 = -4*s + k + 3. Suppose 5*j + 14 = 4, 2*j = 3*z - 16. Solve -z*t - 3 = s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*h. Suppose -h*k - 3*v + 21 = 0, 0 = -4*k + 3*v - 6*v + 24. Solve k*x - 1 - 17 = 3*z, 4*z = -3*x - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76260?\nAnswer: 2, 3, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 310*p**3 - 4*p**2 + 3. Determine v(-1).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r + 10. Determine n(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 + 499*c**3 - 30396*c**2 - 471308620*c.\nAnswer: 24*c**2 + 2994*c - 60792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from eebebeceb?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 104. Let w be l(0). Let z = -178 - w. Let k be z\/(-3) - 6\/9. Solve -16 = -x + 5*t, -k = -x + 5*x + 2*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200084 + 983*x**2 + 200084.\nAnswer: 983*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62.157 and -1674.8.\nAnswer: -104100.5436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 7*l**2 + l - 2. Let u be (-42)\/(-18)*6\/2. What are the prime factors of v(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.512, 1\/6, 3\/5, 2?\nAnswer: -0.512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -68\/5, 8, -1\/257?\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:31 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmxxmmmxmxlmll. Give prob of sequence mxll.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -0.3732?\nAnswer: -4.8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 4 - (-1 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1509*f**8\/56 + 423*f**4\/4 - 1418*f. Find the third derivative of l(d) wrt d.\nAnswer: 181080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Let n be -3 - (-1 - 5\/(15\/12)). Is n less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 19*q**2 + 5987*q - 23625. Give r(-319).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/540 + (-3 - -4 - 2129\/2030) and 98\/1305?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**4 - f**3 + f**2 + 1. Let p(c) = 18*c**4 + c**3 - c**2 + 13*c - 1. Let g(l) = -p(l) - t(l). Find the second derivative of g(r) wrt r.\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0 - 1\/12*f**4 - 1\/6*f**3 + f**2 + 6*f. Suppose p(i) = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z = -46*z + 6 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 39*v + 3. Let q(h) = 49*h + 4. Calculate -6*l(n) + 5*q(n).\nAnswer: 11*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 - 170 = -32*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8*l = 10*l + 111, 3*u - 93 = l - 5*l for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(-517*n - 2262*n + 873*n).\nAnswer: -5718*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.77 - -15269120.\nAnswer: 15269202.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 12*j - 258. Let k be ((-1)\/(-5))\/(36\/j). Is -1\/14 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*i - 28 = 0, 13 + 58 = -5*v + 4*i. Let a(h) = h**2 + 3*h - 38. Is a(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.144882 micrometers to meters.\nAnswer: 0.000002144882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by (-4)\/38 + -9832*15\/(-380)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*k + 45*k + 4. Suppose 0 = 3*u + u + 12. What is the units digit of (k - -5)\/(u\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 78, 193, 364, 597?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.26, 0.2, -2\/11 in ascending order.\nAnswer: -9, -2\/11, 0.2, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 232, 13, 1381 in descending order.\nAnswer: 1381, 232, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 + 3*n. Let f(z) = -z**2 - z. Let d(m) = b(m) + 3*f(m). Let k be d(3). Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 55. Factor 361*i**3 - 5*i**a + 5*i - 16*i**2 - 366*i**3 + 20*i**4 + i**2.\nAnswer: 5*i*(i - 1)*(i + 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61120, -122041, -182740, -243217?\n\"Answer: 111*h**2 - 61254*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 30 = -3*p, -12*g + 9*p = -9*g + 30. Let n(h) = 2*h**2 + 11*h - 30. Calculate n(g).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -6 (c) 3195\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21296\/7 - 2\/7*w**3 - 2904\/7*w + 132\/7*w**2.\nAnswer: -2*(w - 22)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935 - 37*v**3 - 72*v**3 - 5*v**3.\nAnswer: -114*v**3 - 935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 922 - 1214. Let j = c + 250. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 2*y**2 + 8*y - 10. Let v be u(3). Solve -v*n + 28 = 3*x, 20 = 4*x - 9*x + 5*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -9. Calculate the common denominator of m\/6*(-189)\/60 and ((-219)\/(-2))\/(-3) - (-88)\/(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6069 divided by 4\nAnswer: -6069\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664010 (base 8) to base 7.\nAnswer: 1616563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from zzzzzzszzzzzzszszszz.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b. Suppose b*n = 2*n. Let t be 4\/14 + (-24)\/35. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1140\/(-1425)*(30\/1932)\/1.\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -13187?\nAnswer: -13180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4493698174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -7 - (1 + -6) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1809 > -432186\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -4973*k**5\/60 + 5*k**2 + 207. Let i(z) = 2*z. Determine i(c(r)).\nAnswer: -9946*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.403 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365\/5 - 8\/6*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-14))\/(25\/35). Let q(u) = -8*u - 126. Let h be q(-16). Which is the closest to 1? (a) d (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8259\/5 - -1652. Let z(a) = -a**3 + 5*a**2 + 6*a - 9. Let q be -5*-1*18\/15. Let p be z(q). What is the biggest value in 2, k, -0.2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 8:33 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 557. Let f = z - -823. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k - 16. Let t(f) = -f. Let i(y) = m(y) - 3*t(y). Let o be i(8). Let n = o - -124. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/4*30\/9. Let j = o + 156. Let x = -101 + j. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1573) + sqrt(1573) + 3)**2.\nAnswer: 132*sqrt(13) + 6299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -30794400 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -848.2 + 1407.1. Let i = -598 + p. Let g = i + 42. Round g to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -2014501?\nAnswer: 2014500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than or equal to 5373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 5060.\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*b + 2, 0 = -11*a + 7*a + 5*b - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 92. Calculate l(9).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 253?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2.25 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 469\/315 + 6\/(-10). Let m = 5799 - 104335\/18. Let z = m + k. Calculate the common denominator of z and 56\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*h - 2*h + 3*h)*(2*h**2 - h**2 + 0*h**2)*(2 - 4 + 5) in the form a*h**2 + s*h + x*h**3 + g and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/132 and -139\/8703420.\nAnswer: 8703420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-321)\/63 - 10\/525*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 1691*y\/3 - 564.\nAnswer: (y - 1692)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -15789?\nAnswer: -15786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, k: 6, f: 1}. Give prob of picking 2 k.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13370 - -13369.7. Sort 4, v, -340.3.\nAnswer: -340.3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 363 + 147. Let t = -87 + m. What is the remainder when 40 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/53 and 29\/636?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -4*n**5\/35 + n**4\/21 + 8*n**3\/21 - 2*n**2\/7 + 2*n - 84. Factor o(q).\nAnswer: -4*(q - 1)*(q + 1)*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -5*1\/(-3). Put -0.2, k, 2\/15 in descending order.\nAnswer: 2\/15, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-45)\/(-12))*3. Let b(v) = v**3 - 6*v**2 - 39*v + 117. Let n be b(9). Put i, -5, 3, n in decreasing order.\nAnswer: n, 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 - l**4\/24 - l**3\/3 - 4*l**2. Let y be c(2). Suppose -i + 15 = 5*h, -7*i + 15 = 5*h - 2*i. Solve y = 3*j - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 - 156. Let m = 373 + -2243\/6. What is the closest to m in w, -3\/5, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -70?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13 - (165\/11 - (-604)\/(-39))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1)*c)\/(c**5*c) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 i when three letters picked without replacement from piippipippiippippb?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -g - 2, 0 = -4*l - 4*g - 8. Let m = 0 + 2. Suppose -t + l*t - m = 0. Put 5, -6, t in increasing order.\nAnswer: -6, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480961583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450 + -524?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k - 7 - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 10. Let l be v(5). Let c(k) be the second derivative of 13*k + 7\/2*k**2 + 1\/2*k**3 + 0. Determine c(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(420\/32)*561\/2992.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19253 + 346441\/18. Calculate the common denominator of j and -1 + -4*(-34)\/132.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -37. Let l = -79.8 - k. What is the closest to -0.1 in -1.1, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6181, 24763, 55743, 99127, 154921?\n\"Answer: w**3 + 6193*w**2 - 4*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -939 - -5345760898.\nAnswer: 5345759959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*k - 18 = 0, -14*k = -s - 13*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1577, 1550, 1469, 1304, 1025, 602, 5?\n\"Answer: -5*g**3 + 3*g**2 - g + 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31553582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 1. Let b be (1161\/21 - -2) + (-2)\/7. Let w(n) = -b - 2*n - 2*n + 59. What is 2*f(j) + w(j)?\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 48*c**2 + 2*c - 1. Let i be v(1). Let q = i + -74. Let r = -6 - q. What is the greatest common factor of r and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.552 times -1.7?\nAnswer: -424.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 8) to base 5.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(36) + sqrt(144))*5 - (sqrt(288) + -1*sqrt(288))\/sqrt(8))\/(sqrt(144)\/(-2*sqrt(12))*-2).\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/11 (b) -4891 (c) 142\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850073831?\nAnswer: 11, 809, 320269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -27*x**2. Let d(i) = -129*i**2. What is u(d(g))?\nAnswer: -449307*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.2 (b) 428 (c) 0.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -972 - -977. Solve -t*c = -6*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/14 - (-2)\/7. Suppose -4*g = 5*z - 42, -p*z + 3*g = -52 - 4. Solve z = -5*i, 5*i = -2*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let w(f) be the second derivative of f**4\/6 + 6*f. Give l(w(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144.1 - 141.1. What is the third biggest value in g, 0.0163, 1?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 10*w**2 - w + 10. Let t be 3\/((-12)\/(-10) + -1). Suppose 0 = -18*j + t*j + 30. Let v be k(j). Solve 0 = -4*p - 8 - v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 178*b - 53*b = 6819 - 20131 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 + 6 = -2*t, -2*f - t + 8 = 0. What is the remainder when ((-3)\/(-2))\/(f\/40) is divided by ((-48)\/(-20))\/(6\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1110446 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274322.\nAnswer: 2, 3, 7, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = s - 114, -4*k - 236 = -2*s - 0*k. Suppose -13 + 33 = 2*x. Calculate the highest common divisor of x and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:03 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + 0 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 18\/(-3) + 3. Let a = -7 + 4. Sort a, -2\/7, q in decreasing order.\nAnswer: q, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-835 + 385 + 715)*(4*h - h - h)*(0*h - 2*h + 3*h) as t*h + x*h**2 + g and give x.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from fcffffffcfcffffcfffc?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 2*h - 8. Let x be m(0). What are the prime factors of (180\/x)\/((-3 - -1)\/12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:25 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(32))**2 + (0 + sqrt(98))**2 - ((sqrt(2) - (4 + sqrt(4)\/sqrt(2))) + sqrt(18)\/(-3*sqrt(9))).\nAnswer: sqrt(2)\/3 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r**2 + 6679*r - 40981. Calculate f(-674).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:38 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -19*c - 1. Let x(h) = -35*h - 2. Let d(k) = -11*t(k) + 6*x(k). Let n(s) = -4*s - 3. Give -6*d(f) + n(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 1587*r + 441532\/3.\nAnswer: -(r - 91)*(r + 4852)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 38. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -2, -2\/15 in increasing order.\nAnswer: -2, -2\/15, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -2*a - 4*p, -4*p + 3 = a + 118. Suppose 0 = -80*r + 81*r + 3*q - 149, 2*r - q = 326. Let j = a + r. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*1\/((-5)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1772, 6946, 15568, 27638, 43156, 62122, 84536?\n\"Answer: 1724*g**2 + 2*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/6*(-100)\/(-15). Let r = g + -27. Factor 2\/9*f**5 - 4\/9*f**r + 2\/9*f + 0 + 0*f**2 + 0*f**4.\nAnswer: 2*f*(f - 1)**2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - 0. Let t(g) = g**2 + 20*g. Let k be t(l). Let m be ((k + -1)\/2)\/((-4)\/56). Solve 0 = 2*x + 2*z + 4 - 18, 4*x - m = 3*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(143) + 1*sqrt(143)*1 + sqrt(143))\/(2*sqrt(44)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011239 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 4 (b) -1 (c) 0.07 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 475*z + 7. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 59*v - 175. Let s be z(3). Solve 15 = 2*m + g, s*m - 6*g = -5*g + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1131 = -619. Let d = x - 554. Let c = d + 430. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 + p + 20*p - 11*p - p - 10*p.\nAnswer: -p + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:05 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579748869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((6 - 0) + -4) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1776)\/222)\/(29*-4).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 62*s = 315 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 11, n: 1, z: 1, x: 1, h: 4}. What is prob of picking 1 s and 1 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2946487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-36) - 88\/(-144)*8. Let c be 4\/(-10) - 17\/(-5). Suppose c*w + 36 = d*w. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -9\/2*a**2 - 23\/6*a**3 + 1\/20*a**5 - 2*a + 0 - 23\/12*a**4. Let m be b(24). Solve 4*h - 3*c = -19, -4*h - c = -0*c + m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 20*f - 238. Calculate v(24).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4201434 and 933652?\nAnswer: 8402868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, -17 in increasing order.\nAnswer: -17, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 6.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -i + 24 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Let v = o - -2. Let l be (360\/24 + -15)\/((-1 - 1) + -1). Which is the nearest to l? (a) -2\/21 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:28 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 9522\/119. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -6. Let g(a) = -a**3 - 3*a**2 + 3*a - 3. What is the units digit of g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18833620 to the power of 1\/2, to the nearest integer?\nAnswer: 4340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 + -26189a0?\nAnswer: -2618954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 6865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 3*g. Let a be g\/(-10)*4\/6. What is the second smallest value in a, -7, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -303\/115 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 66 - 62 + 75*b**2 + 128 in the form x*b + r + z*b**2 and give z.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:01 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d + 61*d = -42. Solve d*x = -17*x + 23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -70*p**2 - p + 1. Determine s(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6978.\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756238 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 4*i**2 + 4*i + 2. Let s be b(-2). List the prime factors of ((-2)\/s)\/((-2)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 = 4. Let f be 14\/(-10) - -1 - 26\/10. Sort o, f, 3 in ascending order.\nAnswer: o, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.09 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**5 + 0*v**3 + 43 + 2*v + 1\/12*v**4 - 131\/30*v**6 - 35\/2*v**2. What is the third derivative of k(s) wrt s?\nAnswer: -3144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 8*l**4\/9 - 184*l**3\/9 + 398*l**2\/3 - 1760*l\/9 - 3146\/9 = 0.\nAnswer: -1, 11\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -7, -157, -397, -721, -1123?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*t + 1. Suppose t = c + c. Suppose b = c*b - 8. Is b greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323443 (base 5) in base 13?\nAnswer: -c237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (1870\/26 - 3). Let t = 72 + d. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21861*b - 21859*b = -k - 67, 0 = 5*k + 4*b + 329 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1339 = 5*h - 3*k - 9365, -5*h + 5*k + 10700 = 0. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13*h*h**(3\/13) assuming h is positive.\nAnswer: h**(185\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9)*(4929\/106 + -54)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 5, g: 3, i: 3, f: 2}. Give prob of sequence af.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 180 = 34*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1 + (-3 - i + 3)*(0 + 0 + 1) + 10*i - 7*i - 13*i - 2*i - 3*i + 6*i)*(-3*i**4 + 2*i**4 + 5*i**4).\nAnswer: -32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054370453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001022 to 7 decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587361373?\nAnswer: 17, 23, 1502203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*8\/(-30) - 1) + 414\/207?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + t + 54 = 226, 4*a + 5*t = 125. Let c(p) = a*p - 16*p - 18*p. Determine c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/(-100)*(-2*2\/81)\/2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -2*s - 4*k = -4 + 2, -8 = -2*s - i*k. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2049, 7777, 17315, 30657, 47797, 68729, 93447?\n\"Answer: -m**3 + 1911*m**2 + 2*m + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470, -518, -598, -722, -902?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 = -34. Let u = 3.78 - -1.12. Let v = u - 4.8. Is v > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 - 2955*p + 2958 = 0.\nAnswer: -986, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:02 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 34, -2, 2\/5, -3.1, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164256 and 6088608?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2174426, -4348847, -6523268, -8697689?\n\"Answer: -2174421*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 - 6*l**2 - 6*l + 7. Let y(h) be the third derivative of h**6\/12 - 13*h**5\/60 - 13*h**4\/24 + 5*h**3\/2 - 11*h**2 + 16*h. Give 13*s(k) - 6*y(k).\nAnswer: 5*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 12*t = 460. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2753*f + 463715 = 7696*f + 2969*f - 11005 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 14*r - 12. Calculate t(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l + 4*r = -50*l - 12, 3*l - 12 = 2*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7422 times 0.02?\nAnswer: -148.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-164)\/40 + 4). Suppose -7*j = -5*t - 10*j + 7801, 0 = a*t - 2*j - 7791. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 10*u**2 - 6*u + 1. Determine y(-6).\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.583645912 and 4.\nAnswer: -6.334583648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 3\/(3\/(-731)). What is the units digit of 1\/(3 - g\/244)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 16*n - 54. Find the second derivative of 2*c**2 - 2*c + n*c - 14*c**2 + 27*c wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 1 - 1)*(-25*j + 0*j + 0*j)*(2*j + j + 6*j) to b*j**3 + w*j + r + l*j**2 and give b.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 + -156. Suppose i = m - 11 + 8. What is the second derivative of 3*o + 43*o**3 - 92*o**3 + 35*o**m + 4*o wrt o?\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6590595 divided by -3245.\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*w = -7, 2*x - w + 8 = -5*w. List the prime factors of (-2)\/(-4) + (-125)\/x + -5.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/18 - 13*k**2\/6 - 169*k\/6 + 42. Solve b(q) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 2*g**2 + 5*g**2 + (1 - 1 - g)*(-2*g - 2*g - 19*g).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m + m + 4*m)*(-3 + 1 + 3).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.05 - -1. Let t = 1.7 + 1.35. Let g = x + t. Sort 0.04, g, -4.\nAnswer: -4, 0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 - 10*p - 49. Let n(l) = -23*l**2 + 28*l + 145. Let d(k) = 17*c(k) + 6*n(k). Let q be d(0). Solve 0 = i - 4*s - 15, -i = 4*s + q - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*0.019.\nAnswer: 0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 18\/5227573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 10393224 divided by -6?\nAnswer: -1732204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271*m - 68580 + 52057 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3 + 2*x**2 - 10*x + 128. Suppose 17 = 5*d + k + k, 4*k + 31 = 3*d. What is the remainder when y(d) is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 - ((4 - 4) + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3218 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Suppose -2*y = -g*y. Let k(t) = t + 2. Let f be k(2). Solve -4*z + j + 12 = y, f*j + 3 = z - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*g - 12, 0 = -2*q + 4*g + 10 - 26. Suppose 33*h - 20*h = 39. Let f be (-21)\/(-56) + h\/(-3). Is q greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89.47194 centuries?\nAnswer: 107366.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4\/2 + 6*s**3 - 11*s**2\/2 - 3*s.\nAnswer: s*(s - 1)*(s + 3)*(5*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 + (-53)\/(-3). Suppose 0*y + 6 = 3*y. Suppose y*w - 4 = 20. What is the greatest common factor of w and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42777 = -3*k + 3*i, 0 = -67*k + 66*k - 5*i + 14283. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1*(1 - 0). Let k be 5*(-136 + -1 - z). Round k to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.6 + -64. Let a = h - -48. What is the second smallest value in 8, a, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**24\/(i**23*i))\/(i**11*i)**(40\/7) assuming i is positive.\nAnswer: i**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919.655ns to milliseconds.\nAnswer: 0.000919655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 3*p + 2 + p. Let c = 272 + -275. What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70339, -1116, 5, 2, -1 in decreasing order.\nAnswer: 5, 2, -1, -1116, -70339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-252))\/((-2)\/6)*-2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/171 and 42\/832295.\nAnswer: 7490655","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1605, -1613, -1633, -1671, -1733, -1825, -1953, -2123?\nAnswer: -2341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 8*i. Does 24 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*j + 69, -2*v + 182 = -j - 2*j. Suppose v = -0*l + 5*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -2. Let w = c - -2.9999984. What is w rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12978?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2334254.\nAnswer: 2, 13, 89779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 0, -4*w + 5*l = -23 + 8. Let o be -1 + 5\/2 - 1. Sort -1\/12, w, o.\nAnswer: -1\/12, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*q - 44. Let f(m) = -m**3 - 12*m**2 - 20*m - 10. Let o be f(q). Are -14 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24994 and -0.06803.\nAnswer: -24994.06803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16268*f - 97605. Calculate z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)**(-45))**(-47)\/(d**1\/((d*d\/d**(-2\/7)*d)\/d)*d**(2\/9)\/(d**(-1\/10)\/d)) assuming d is positive.\nAnswer: d**(-1332473\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, h: 1, s: 1, z: 1}. Give prob of sequence hzd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + (-49082)\/115. Let d = 440 + u. Solve -5*c - 2 - d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 2*g. Suppose -5*n + 6 = -2*n. Calculate c(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5 = 5*s - 3*a, 10750*a - 10756*a - 6 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 0*o + 2*o - 4*o + 3. Let s be k(9). Let l(u) = -5*u - 27. Does 2 divide l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 + 5 - -2)\/(-2). Suppose -d*q - 2*q + 201 = n, -3*n = 4*q - 559. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3462*441.\nAnswer: -1526742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8 + 6 - 212831*m + 4.\nAnswer: -212831*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28668365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*k*r*t - 10*k*r*v - 88*k*t*v**2 - 2*k*v**2 - k - r*v**2 - t*v**2 + 3*t - v wrt v.\nAnswer: -176*k*t - 4*k - 2*r - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a689 + 7?\nAnswer: -a682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017509 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19724098 is divided by 5354?\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 7*c - 10)*(-4 + 2 + 3)*(-6*c - 3 + 3) + 11*c**2 - 4*c**2 - 6*c**2 + 10 to i*c + u + j*c**2 and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 5*l**3\/6 - l**2\/2 + 9. Factor w(v).\nAnswer: v*(5*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 30 = 0. Let n = 9 - c. Suppose n*o = -i - o - 7, o - 2 = -i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(180) + ((sqrt(180) - sqrt(180)*2) + -2 - sqrt(180)) + 5*(sqrt(180) + -1*sqrt(180)).\nAnswer: -6*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257127 to the power of 1\/2, to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-2))\/(-1 - -2). Let c be -2*2\/4*m. Solve c*k - k = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = u - 51 - 51 + 118, 28*u - 362 = -25*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -59. Suppose 2*h + 5*o - 8 - 73 = t, -4*h - 5*o + 157 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1\/5 (c) 1582 (d) 3.401 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 157?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyii when four letters picked without replacement from qieiiiyqyiiiiyieqzq.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(25\/2)*o)*o**(7\/9) assuming o is positive.\nAnswer: o**(-211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8614, 5, 66.\nAnswer: -8614, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -80.6?\nAnswer: -80.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 668*g - 1142853. Calculate k(-786).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 22. Suppose -6 = 2*l + l, 5*l + 46 = 3*x. Suppose -x*q = -48 - 132. Calculate the remainder when d is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4 (b) 0.03 (c) -0.05 (d) 9 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31020.62 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*y - 59*y - y**2 + 41*y - 35*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11424 - 5*f**2 - 11424. Let i(b) = -2*b**2 + 92*b. Give i(k(g)).\nAnswer: -50*g**4 - 460*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h**2 - 6*h**2 + 7*h**2)*(3 - 24 + 3)*(2 - 2 - h) as d*h**2 + q*h**3 + k + t*h and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-5))\/((-108)\/(-90)))\/(5\/(-495)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-120))\/((-2)\/(((-45)\/3)\/(-3))).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5150.804t to grams.\nAnswer: 5150804000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 3*u + 3*u)*(2*u - 14*u + u) + 0*u + 0*u - 3*u**2 - 2*u**2 - 4*u + 4*u + (-1 - 2*u + 1)*(1 + 2*u - 1) - 4*u**2 - u**2 + 3*u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 180*h**2 + h - 180. Let o(n) = n**3 - 90*n**2 - n + 90. Let r(x) = -2*d(x) - 5*o(x). Find s such that r(s) = 0.\nAnswer: -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m + 45*m + 51*m - 117*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -14*h + 4*i - 6, -2*h - 51*i - 1402 = -1459 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2 - 56*d - 58 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 29. What is the least common multiple of 5 and v(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*v + 60*v - 223*v - 305*v.\nAnswer: -605*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1bb3b?\nAnswer: -1bb39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzh when three letters picked without replacement from hlwsz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*l + 947 = 4*c, -2*c = 3*l - 381. Suppose k - 6*k + c = 3*y, 2*k - 78 = -2*y. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1.8\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 945, 1941, 3603, 5937, 8949, 12645, 17031, 22113?\nAnswer: 27897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 120\/18*3\/2. Solve 4*g = -g + f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116.533 weeks in days?\nAnswer: 21815.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-5 - -35) - (1 - (-30 + 0)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/9 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 800, 795, 790?\n\"Answer: -5*d + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 79*k - 856. Calculate l(90).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 8 = 3*f - 24, 2*f + 37 = -5*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, 26, 8.\nAnswer: -1\/3, 4, 8, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516272 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s + 4 - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i**2 - 23*i**6 + 2*i**6 + 10*i**6 + 2*i**4 wrt i?\nAnswer: -1320*i**3 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let d be 537\/183 - 1 - f. Let u = -94\/427 + d. What is the second biggest value in 1, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l - 4 = 0. Suppose 4*q - 1326 = -l*n, -q - 4*q + 5*n = -1650. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (9 + -8 + 7 + 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 3*s = -46, q + 18 = 5*s. Let z = q + 10. Suppose z*m - 25 = -3*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*z = 8, 8*c - 4 = 6*c - z. Determine m so that 5\/2*m**3 + c - 13\/2*m**2 + 2*m = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 188 - 340 = 0. Calculate the least common multiple of b and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0494598673 to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from {l: 4, g: 3, h: 1, s: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8296 + -16591\/2. Let 1\/6*v**2 + 0 - y*v = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 76. Suppose -10 = 3*p + 2*v, -5*v - 5 - u = 0. Is p less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*t - 622081*t - 7666*t.\nAnswer: -630046*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -2ca0?\nAnswer: -2c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {p: 2, c: 5, n: 2, r: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by 96?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9032 + 10684854\/1183. Let i = h - -1201\/10647. Which is the nearest to -0.1? (a) 1 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbgbbggb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*f**2*n + 285*f**2 - 221*f - 1739*n wrt n?\nAnswer: -5*f**2 - 1739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v + 489 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -26403, -146, 2 in increasing order.\nAnswer: -26403, -146, -49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -545*g + 547*g + f, 16*g + 3*f = -11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.05 and -579?\nAnswer: -607.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69309 at most as big as 69310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 647566 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*z + 4, 2*z = 2*s - z. Is 2 a factor of (-6 + s)\/(6\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42067, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 582887705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394617576, 394617577, 394617578, 394617579, 394617580, 394617581?\nAnswer: 394617582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583*q*w**6 + 8315*q*w**3 - 139839*q*w**2 - 1519*q - 4*w**4 wrt w.\nAnswer: -69960*q*w**3 + 49890*q - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:28 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*v = -10, 4*d - 3*v + 9 + 18 = 0. Put d, -4, 3 in ascending order.\nAnswer: d, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38242.57cm in nanometers?\nAnswer: 382425700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18840900 is divided by 1265.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*m - 34 = 0, -3*c + 0*c = 2*m + 17. Let q = -113 + 81. Find the common denominator of q and 78\/16 + 14\/c - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3 + 646*t**2 - 11931*t + 11286 = 0.\nAnswer: 1, 18, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {a: 5, s: 7, o: 1, q: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57842 - 57388. Let x = 26 - -31. Calculate the remainder when b is divided by x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7485, -9439, -11393, -13347, -15301, -17255?\nAnswer: -19209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.57, -0.06, 11.8, -0.3, -5.\nAnswer: -5.57, -5, -0.3, -0.06, 11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -9*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 14*c + 2. Let o be (-18)\/8*-4 + (1 - 4). Let b be j(o). Is -10 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (205\/(-35) + 1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 24*i**2 - 330*i + 968.\nAnswer: -(i - 22)**2*(i - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 1.\nAnswer: 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*x - 3*y, x - 5 = -507*y + 502*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15)\/(2*sqrt(3))*-2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -992*w + 4953. Determine x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2)\/4 + (-3)\/(-1). Suppose 5*w + 3*j - 1664 = 0, 4*w - j + q*j = 1327. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.011 - 12.489. Let h = -0.5 + q. Let a = h + 16. Is a not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 - 1476*i**4 - 10492*i**3 + 46176*i**2 + 10490*i - 44700 = 0.\nAnswer: -10, -1, 1, 3, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 14\/(-63))*6\/(-16). Let v = 14.1 + -14. Which is the second biggest value? (a) 3 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*(-1 + 11). Let p be 2\/6 - 2944\/12. Let v = -135 - p. What is the highest common factor of f and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**3 + 352*q**2 - 1676*q + 1328 = 0.\nAnswer: 1, 4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 540*m**2 + 1656*m.\nAnswer: -4*m*(m - 3)*(m + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 7803439 and -10.\nAnswer: 7803429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from iniwxennwwewenww.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-26 + 8 + -24 - 5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 35*u**3 - 20*u**2 + 60*u.\nAnswer: -5*u*(u - 1)*(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2225, -8109, -17915, -31643, -49293, -70865?\n\"Answer: -1961*t**2 - t - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:19 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.2? (a) -0.04 (b) -2 (c) -3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.57 - -24.43. Let g = f + -21.7. Let n = -3.3033 + g. Round n to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(((-30)\/10)\/(12\/(-1))). Solve 0 = 3*v + t*g - 16, -3*v + 2*g - 14 = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 5, b: 4}. What is prob of picking 1 p and 3 b?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.52? (a) -3\/2 (b) 1\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 39 = -47 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 4, t: 3}. Give prob of sequence tt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1833421708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z - 26*z - 12*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 257*y**2 + 9*y + 4. Let h(d) = 58*d**2 + 2*d + 1. Let f(q) = -9*h(q) + 2*m(q). Let o = 4 + -3. Calculate f(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1\/5, -0.7, 0.4, 172?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 362 - 92. What is the greatest common factor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30153*n - 37274*n**2 + 10056*n + 10048*n + 10049*n as t + f*n + w*n**2 and give w.\nAnswer: -37274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.051, 34 in increasing order.\nAnswer: -6, 0.051, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(147) - 2*sqrt(147)) - sqrt(24)\/sqrt(2))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251 (base 9) to base 2.\nAnswer: -11010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k**(-1\/5)))*k**(-2)*(k*k**(-1))**25 assuming k is positive.\nAnswer: k**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3 = 4. Suppose y + i + 2*i = -8, -4*i = -2*y + 4. Put -1, 0, y, u in increasing order.\nAnswer: y, -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - b**3 - 34*b - 8*b + b**2 + 43*b.\nAnswer: -(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -140052366 and -1?\nAnswer: 140052365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*q - 119*q - 28861. Calculate the highest common factor of 133 and q.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21b3b0 + -7?\nAnswer: 21b3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:26 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1462623 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(1408 + 1645*g - 713 - 688).\nAnswer: 1645*g + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o**2 - 156*o. Let f(j) = -4*j. What is f(n(r))?\nAnswer: 76*r**2 + 624*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2201.84 + -2344. Let u = n - -142. Put 0.5, u, 3, 1\/4 in descending order.\nAnswer: 3, 0.5, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than -1902?\nAnswer: -1901.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 62 = -5*v, 2*v - 186 = 5*x - v. Let j = x - -37. Suppose -b + 0 = -j. Which is greater: b or 3\/19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 7 - 5 + (0 + 0 - 3)*(-3 + 3 + 3))*(-33*s - 44*s + 27*s) in the form o + r*s and give r.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 30*n - 7. Let s(m) = -m**2 - 20*m + 5. Let t(p) = -7*s(p) - 5*w(p). Let y = -4 - -12. Is t(y) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (0 - (-4)\/(-6))\/((-2)\/74466*7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/4845 and -29\/2020.\nAnswer: 1957380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000708 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -l + 5, 5*l - 23 = 7*h - 3*h. Suppose -s - 8 = -l*s. Suppose s = n - 4. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 57*g. Let n(a) = -3897*a + 346. Calculate f(n(v)).\nAnswer: -222129*v + 19722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-7 + 13 - 8) + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c + 1. Let n(h) = -14*h - 76. Let f be n(-5). Let j(k) = 5*k**2 - 9*k + 5. Determine f*m(x) + j(x).\nAnswer: -x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 3 (c) -1542\/13 (d) -16 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1788 = 1772. Let w(s) = 1. Let q(m) = m - 16. Give r*w(h) + q(h).\nAnswer: h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*j + 85*j - 42. Differentiate -7*f**4 + j + 8*f + 7*f**4 - 75 + 4*f**4 wrt f.\nAnswer: 16*f**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/11 or 1\/954348?\nAnswer: 1\/954348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*b + 62, -2*j + 5*b = 2*b + 42. Does 12 divide (-18)\/j + 97\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 84. Let p(l) = -294902*l - 1. Determine p(t(y)).\nAnswer: 294902*y**2 + 24771767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f**2 + 36*f**2 - 96*f**2 + 31*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -42, -39, -18, 27, 102?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0 + 31*g + 3\/4*g**4 + 0*g**3 + 3\/2*g**2. Differentiate m(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505018848 to the nearest integer?\nAnswer: 22473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 3*d**2 - 2*d. Let q = 3 - 1. Let p be v(q). Solve p = 2*o + 4 - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6968 and 44\/25961.\nAnswer: 13915096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334568551?\nAnswer: 17, 199, 98897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 7 - 15 + y**2 + 58. Let r be (-4)\/(-14) - (-6)\/(-21). Let b be x(r). Round b to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2572 = 311*b - 7069. Solve 17 + b = 8*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let j(g) = -31 + 2*g + 31. What is b(j(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 28 = 3*h - 7*h, 4*u - 23 = -3*h. Let b(x) = -11*x - 1. What is the lowest common multiple of b(-1) and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 21, 0, -2, -1, -5 in decreasing order.\nAnswer: 21, 0, -1, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:15 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238132667 rounded to four dps?\nAnswer: 0.2381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 1. Let x be m(-2). Suppose -2 = a - 2*g, x = 2*g + 1. Let v(d) = 4*d**a - 284*d - 5*d**2 + 2 + 281*d. Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-8 - (-89)\/11). Suppose -79526 = -23*x - q*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 83*i**2 - 1216*i.\nAnswer: -i*(i - 64)*(i - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/(-18) - (-6)\/(-162)*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 21 = -9*b - x, 4*b + 2*x + 6619 = 6607 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d**2 - 11*d + 6. Let m(c) = 7*c**2 - 4*c + 2. Let l(f) = -8*m(f) + 3*t(f). Let h be l(1). Factor z - z**2 - z**2 + 2 - z**3 + h*z**2 - 5*z**2.\nAnswer: -(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnwlwwdlhlwlwdw. Give prob of picking 2 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 3.8\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3)*-3 + 0)\/(-3). Put 1, -1\/26, t in decreasing order.\nAnswer: 1, t, -1\/26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298792080 divided by -345?\nAnswer: -866064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/(78\/273)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 889*l - 8893. What is u(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 12. Let q(j) = 3*j**2 - 3*j. Let r be q(2). Let z = r + n. Calculate the highest common divisor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 356\/(-420) - 24\/(-504).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/3 - 17\/15. What is the nearest to 2\/9 in 2, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -301, -520, -739?\n\"Answer: -219*a - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 11. What is r(-19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66521 = -14*c + 61999. Round c to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27477.7 + -27478. Which is the second smallest value? (a) 0 (b) 177 (c) 2\/11 (d) v (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1805 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1699297.3 from 0.22.\nAnswer: 1699297.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from nlaaoannannaannaan.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -6) + (61 + -82 - (-40 - -6))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnvvvnnnvnnnvvvkn. What is prob of sequence vknn?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 4782480*b - 47824300 = 0.\nAnswer: -956486, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-6)*u**2*(u\/(u*(u*u\/u**(-1))\/u*u)*u*u)**15 assuming u is positive.\nAnswer: u**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-2\/3)))**26*(o**1)**(1\/13))**25 assuming o is positive.\nAnswer: o**(-16825\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 18323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123 + 58 - 51)*(-2*x - 5*x + 6*x) + 0*x + 2*x - 6*x to i + f*x and give f.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32023012 + -300223?\nAnswer: 31122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from jvcebnev?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*a + 185. Let x = -31 - a. Put -4, x, 4 in decreasing order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 1218?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53337.5 litres to millilitres.\nAnswer: 53337500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 6) to base 7\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -34510994.4 to the nearest 10000.\nAnswer: -34510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*v + 21 = 555*v. Solve -v*q + 62 = 53 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 46*f. Let b(m) be the second derivative of -11*m**4\/12 + 99*m + 1. Calculate z(b(i)).\nAnswer: -506*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 9*b + 4. Suppose 19*j - 15 = 22*j. What is the smallest common multiple of 15 and t(j)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5647306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647162967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73.8 - -71.8. What is the smallest value in q, 0.7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.296 + 0.004. Which is the third smallest value? (a) v (b) -4 (c) 2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1376\/9113 - -2\/701. Let o = 0.05 - 3.05. Let f = -6 - o. Put f, 0.3, t in descending order.\nAnswer: 0.3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 900 - 529. Calculate the greatest common factor of u and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*s + 295*s + 18 + 313*s + 0.\nAnswer: -4*s + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 14*x**2 + 18*x**2 + x**3 - 7*x**2 to g*x**3 + l*x**2 + y*x + s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5\/1172 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 66.\nAnswer: -3, -2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43255 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4\/6 + 15*a**3 - 705*a**2\/2 - 3780*a + 52920.\nAnswer: 5*(a - 12)**2*(a + 21)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 + 19*l + 13. Let f = -39 - -30. Let i be v(f). Solve 2*x + i*c - 12 = 0, 4*x - 5*c = -0*x + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k - u, -3 = -3*k + 7*u - 5*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468074549 and 8313.\nAnswer: 2771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2 (b) 47 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 36*z + 26. Give k(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y. Let g(d) = -d**2 + 4*d + 1. Let j(m) = -4*g(m) - 3*r(m). Give j(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 7 - 3 + 6 + 6*t - 2. Let z be p(4). Suppose 10 = -3*r + r, 2*m - 145 = -3*r. Calculate the highest common divisor of z and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/70*-96*-10. What is the greatest common divisor of 64 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 - (6 + (-1454189)\/99) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + h - 1. Let q be o(1). Suppose -246 = -4*s - 4*i - 30, q*s - 224 = -2*i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*y + y - 370, -5*i + 448 = -y. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*t**3 + 22*t**2 - 22*t**2 - 463*t**3.\nAnswer: -681*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a + 2*v - 18, 5*v + 21 = a. Let k(j) = -3*j**2 + j - 4. Let z(y) = 15*y**2 - 6*y + 21. Determine a*k(u) + 2*z(u).\nAnswer: -3*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 20 - 14)*(3*i - i - 3*i).\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 + 3.81. Put -1\/4, x, -1 in decreasing order.\nAnswer: x, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5756416 and -3551305?\nAnswer: 2205111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 4*t + 4*t + (4*t - 2*t**2 - 4*t)*(4*t - 4*t - 2*t) + 1179*t**2 - 1179*t**2 + 70*t**3 + (t - t + 2*t**2)*(2*t - 3*t + 0*t).\nAnswer: 74*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 6*j**2 + 9*j**2 - 24*j**2 - 11*j + 3*j**2.\nAnswer: -3*j**2 - 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3947, -3884, -3821, -3758?\n\"Answer: 63*q - 4010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -336 - 290 - 7925*g + 626 to d + j*g and give j.\nAnswer: -7925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -21 (b) -0.02 (c) -3 (d) -1\/5 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnov when four letters picked without replacement from {n: 6, v: 2, o: 3, d: 4, g: 2}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3660 and 6405?\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 12 = 2*c, -5*d - 18 = -3*c. Let s(o) = -8*o**2 - 4*o + 6. Let n(v) = 9*v**2 + 5*v - 7. What is c*n(h) + 7*s(h)?\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 + 15*l + 2. Let m be d(-5). What is the highest common divisor of 1917 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -234 - 1 - 616\/(-44). Is -216 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let c be o(-5). Suppose c*v = 289 + 326. Suppose -y - 2*w = -293, -5*y = -5*w - v - 1387. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*y + y = 9, 0 = -2*a + 5*y + 7. Suppose 3*v - 2*n + a = -15, 0 = 5*v - 4*n + 37. What is the biggest value in v, -0.5, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 6415844 + 247073 + 1288235 + 9768*u.\nAnswer: 3*(u + 1628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-110)\/30 - 182\/(-18)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1592*a**3 + 2970*a**3 + 2.\nAnswer: 4562*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-72))\/((-1)\/3*30\/(-8)). Which is the nearest to -0.1? (a) -2\/7 (b) 2\/5 (c) -1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:30 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 12 - 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -289 + 64. Calculate the greatest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -86, -130, -192, -272?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191\/99 + 10\/9. Let u = -11233\/5190 - 2\/865. Find the common denominator of b and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423 (base 6) to base 3\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2262 + -2262.50064. Let p = -1.5 - -1. Let n = l - p. Round n to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**3*y**3 - 65*f**3 - 6*f*y**4 + 2*y**2 wrt y.\nAnswer: 114*f**3 - 144*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1616 and 200182?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -3*y**4\/2 - 4*y**3\/3 - 3*y - 247. Let z(f) = 5*f**3 + 3*f**2 + 3. What is -3*r(h) - 4*z(h)?\nAnswer: -2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q + 13*q + 11*q - 53*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1602 + -0.1602. Which is the third biggest value? (a) -0.55 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 1 a when three letters picked without replacement from qazzzaqqazaqaqzazaq.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -542618 at least 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(4\/2) - -4. Suppose k*q - 24 = q. What is the third derivative of 6*z**5 + 160*z - 160*z - q*z**2 + 2*z**2 wrt z?\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 254423463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:06 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 676 + 611 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 371636315?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-11*130\/3718)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let u be (m + -2)\/2*-4. What is the third derivative of 8 + 2*i**2 + i**6 - u wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 8. Give i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103203033 + 120?\nAnswer: 1103203213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/10 - 17*i**4\/45 - 4*i**3\/9 + 2*i**2 - 5. Let s(p) = 0. What is p?\nAnswer: -10\/9, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 - 4*b**2 - 11*b. Let l(m) be the first derivative of h(m). Let w(g) = 28*g. Calculate l(w(c)).\nAnswer: 56*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*w = -11518 - 8495 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 4 (c) 3 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.1. Let i be (-98)\/28*(-1)\/7. Suppose 4*j - 8 = 12. Which is the third smallest value? (a) r (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**4 + n. Let u(l) = -12*l**3 + 2*l - 3*l**3 - 9*l**2 - 3*l**4 + 21*l**3. Let k(t) = 10*i(t) + 5*u(t). Factor k(r).\nAnswer: -5*r*(r - 4)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(17)))**2 + -5.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38404129*o**3 - 85*o + 57186 wrt o.\nAnswer: -230424774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9234939 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 10*a**2 - 73*a + 717. Let n be o(8). Sort -4, n, -17, 51 in descending order.\nAnswer: 51, n, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-164)\/(-2)*1\/(-2). Suppose c - 40 = 3*d + 47, -278 = -4*c - 2*d. Let a = c + u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -219726, -439658, -659590?\n\"Answer: -219932*d + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/(2\/(-6)). Let g(t) = 2*t - 5. Let u(i) = 5*i - 16. Let n(o) = -3*g(o) + u(o). Determine n(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -18, 70, 11, -16.\nAnswer: -18, -16, -4, 0, 11, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/19288 and -107\/56.\nAnswer: 135016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:52 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9436 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/2 + 18665*p\/4 - 718413 = 0.\nAnswer: -9484, 303\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-3*v + 2*v**2 + 3*v) + (-47*v + 217*v + 250*v)*(-142 + 142 - 22*v) to the form q + o*v + y*v**2 and give y.\nAnswer: -9236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26668, 26661, 26654, 26647, 26640, 26633?\n\"Answer: -7*z + 26675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-5*-1*sqrt(162))\/(sqrt(864)*-2*-1))**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine sixths of a hour?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - 4*a**2 + 3*a - 10. Let z be q(4). Suppose 5*x + 0*x = z. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6818 and 812?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:19 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14) - (-1 + 0\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.39418 and -2371683.\nAnswer: -2371678.60582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7111 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82483534 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -271 - -273. What is t in -197*t + 3*t**2 + 185*t - 40 + t**l = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scxxullu. What is prob of picking 1 l and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -9*s**5\/4 - 101809*s**4\/2 - 418112*s**3 + 6423008*s**2 + 1447424*s = 0.\nAnswer: -22616, -16, -2\/9, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.37 + -19.47. Which is the biggest value? (a) -2\/7 (b) 6 (c) 0.3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 11*l + 1. Let q be r(13). Suppose 0 = -3*m + q + 763. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -21 - -2*(-12)\/8. Let p = k + 64. Let w be (-2)\/(-2)*(16 - 8). What is the greatest common factor of w and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/((-4)\/(-39)). Let g = -1121 + 1119. Is y >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345961785 divided by 5\nAnswer: 69192357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + y = -2*i + 6, 12 = 5*i + 4*y. Let g(u) = -8*u - i + 4 + 1. Calculate the remainder when 16 is divided by g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**3 - 2*d + 1. What is q(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2645 - 905. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((3 - -1) + -2 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 < 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 + 5*v**2 - 13*v. Let c(y) = -y**3 + y**2 - 3*y. Give 18*c(s) - 4*x(s).\nAnswer: -2*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2875587, -2 in descending order.\nAnswer: -2, -4, -2875587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(15)\/sqrt(3))*4)**2.\nAnswer: -96*sqrt(5) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -25590.98, -2\/9, -1\/6 in descending order.\nAnswer: 2\/7, -1\/6, -2\/9, -25590.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489376 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367.68063428 + -358.680634. Let d = j - 9. What is d rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*f**2 + 1 + (12*f + 0*f - 2*f)*(-f - 4*f + 3*f).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*h - 9, -8162 + 8179 = 4*h - 3*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 57*w**2 + 448*w + 35. Calculate the remainder when 3552 is divided by p(64).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4248*w - w**4 - 12 - 12749*w + 179*w**3 + 4246*w + 4245*w wrt w.\nAnswer: -12*w**2 + 1074*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/3 - (-21 + 1). Let n be 2\/7 - p\/(-7). Suppose -2*k + 10 = n*k. Solve 0*i = 3*i - 3*b - 15, 4*b = -5*i - k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:42 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1600*u = -1602*u - 10, 2*f - 5 = 3*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-8)\/(-3). What is the highest common divisor of 28 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -211*b - 120. What is the units digit of r(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118932969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 + 3. Let v = -33 + 34. What is the nearest to v in 0.5, -2, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-240)*(-5)\/(-6)*6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(2\/2)\/(-1). Find the third derivative of 2*g**2 - 3*g**2 + n*g**6 - 2*g**6 + 0*g**2 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/11222 and -91\/72762.\nAnswer: 2255622","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16\/9, 0.4, 0.2, -2\/3, 0.5, 111, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 341122 (base 5) to base 6\nAnswer: 131421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/4)\/(1\/(-2)). Suppose l + 115 = 5*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6\/7))**(-23)\/(q*(q**(8\/3)\/q)\/q*q*q*q**(-13\/2)) assuming q is positive.\nAnswer: q**(-1675\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/9 (b) 15.8 (c) -64 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/3 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1996 and 4491?\nAnswer: 17964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.883375 decades to millennia.\nAnswer: 0.00883375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u - 2 + 14*u**4 - 20*u + 0 - 16*u**4 to the form c*u**3 + t*u**2 + l*u + g*u**4 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318101, -318099, -318097, -318095, -318093, -318091?\nAnswer: -318089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 377 + -352. Which is the closest to o? (a) -0.1 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-55)\/22)\/(3\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.46 + 87.54. Let i = 82.73418408 + 6.26581446. Let v = g - i. Round v to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(72) - sqrt(19))**2*-5.\nAnswer: -380\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**2\/2 + 5*r - 10. Determine p(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/30 + 79*i**4\/3 + 9427*i**3\/6 - 2*i**2 - 2*i + 1. Find the first derivative of o(s) wrt s.\nAnswer: -12*s**2 + 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0, 646 in increasing order.\nAnswer: 0, 32, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.3, 107 in increasing order.\nAnswer: -0.3, 2\/7, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 17*n**2 - 16*n + 37. Let x be d(-18). Put -3, 0, -1, x in decreasing order.\nAnswer: x, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 0*v**3 - v**3 - 3*v**3 + 304 - 304 - 11*v**2 + 0*v**3 + 0*v**3 - 2*v**3 + (0*v + v + 0*v)*(-v**2 - v**2 + 0*v**2) - v**3 + v - v.\nAnswer: -9*v**3 - 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22 - 12) + (1\/(-6) - 420\/72). Solve 5*i - 21 = -509*z + 508*z, -v*z + 9 = 5*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6299830?\nAnswer: 2, 5, 19, 71, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - y**3 + 2 - 1 - 6*y**2 - 3. Let t be k(-6). Suppose -3*q = -4*l - 4, -t*l = -3*l - 2. What is the biggest value in -0.2, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17)*l**26*(l\/l**(-7)*l)**(-42))**(-5) assuming l is positive.\nAnswer: l**(29930\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n = -39*n. Suppose n = 37*s - 24452 - 597. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18349, 18175, 17893, 17503, 17005, 16399?\nAnswer: 15685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 226184.2.\nAnswer: -678552.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73025 divided by -3175.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.9 (b) 0.3 (c) -22259 (d) 4 (e) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 >= 621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 26. Calculate the highest common divisor of y and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3942436 and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 210*o**3 + 395*o**2 + 210*o - 400 = 0. What is o?\nAnswer: -1, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5623488 and 273.\nAnswer: 39364416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -58 - q**2 - 2 + 2*q**2. Let l(c) = -27*c**2 - 2. Give l(z(n)).\nAnswer: -108*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*l = 270*l - 2741317. List the prime factors of l.\nAnswer: 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 + 6)\/(-6 + 48) - (-27)\/(567\/6)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1080 divided by -360\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/60 + j**5\/30 + j**4\/8 - 4*j**3\/3 - 77*j**2. What are the prime factors of m(3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1183*o - 9. Let b(d) = 595*d - 6. Let w(t) = -2*t + 1. Let n(f) = -b(f) - 2*w(f). Let p(m) = 3*i(m) + 5*n(m). Is p(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:41 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-896)\/336*(38\/(-8) + -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/2 + 60*f**3 + 533*f**2\/2 - 226. What is the second derivative of y(t) wrt t?\nAnswer: -12*t + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19713694 divided by -14?\nAnswer: -1408121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:34 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -650104*s - 33805412. Calculate j(-52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 97) + (-2261 - -2317).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = h. Let q(f) = -2*f + 5. Let u be q(-2). Calculate the highest common factor of h and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/10 + 19*k\/5 = 0. What is k?\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g. Let j be (-1 + (g - 0))*-4. Determine i so that 4\/7 + 2\/7*i**j + 18\/7*i**2 + 2*i + 10\/7*i**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734563.\nAnswer: 47, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5 + 219*s**4 + 442*s**3 = 0.\nAnswer: -2, 0, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + 0*b**5 + 3*b**2 - b**2 + (-13*b**2 + 13*b**2 - 4*b**5)*(4 - 2 - 4).\nAnswer: 7*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4257?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**1*u*u)*u))\/u**(2\/25))\/(u**1*u*u*u)**(-38)*(u\/u**(-1\/4))**36\/(u**(4\/5)\/(u*u\/(u*((u*u\/u**(-4\/5))\/u)\/u))) assuming u is positive.\nAnswer: u**(4958\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-108)\/10)\/(6\/(-75))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36596397*k**4 + 53592608*k - 2 wrt k?\nAnswer: 439156764*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-48))\/((-12)\/(-9)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12512 and 103\/816.\nAnswer: 37536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-66)\/429*(884\/40 + 2\/5)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/4, -35, -0.48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -1 - sqrt(99) - sqrt(99)) + sqrt(11))**2 - (-1 + sqrt(539)).\nAnswer: -3*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 2, g: 4, v: 3}. Give prob of picking 4 g.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398 = 4*x - 15*a, -255*x + 259*x + 9*a + 226 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 97*o - 79*o = 225 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**3 + 3*s**2 - 4*s + 2. Let u be t(2). Calculate the remainder when 4*(u\/8 + 1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/(-189)*-3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 32337*h + 129378. Calculate b(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-2)*(4 + -1)*18\/(-108)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*l**3*q**4 + 304*l**3*q**3 - l**3*q - 5*l*q - 18337*l wrt q.\nAnswer: 1392*l**3*q**2 + 1824*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (1 + -2)) + 521. Let q = 50198 - 50140. Calculate the greatest common divisor of c and q.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -1.3.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**2. Let h(a) = 10788*a. Give c(h(z)).\nAnswer: -931047552*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b + 2 = 73*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 7. Let p be u(5). Let z = p + 8. Suppose -3*t - 7 = -q - 5*t, -z*q = -t - 79. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v - 14. Let x be 14 + -1 + (0 - 0). Let d = v + x. Calculate the greatest common factor of d and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15511568 is divided by 1962.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6795, -0.1, -8, 1.5 in descending order.\nAnswer: 1.5, -1\/6795, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(6)\/sqrt(3) + -2 - (sqrt(32) + -2)*5)**2 + 0.\nAnswer: -304*sqrt(2) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z + 1, 27 = 5*g + 2*z. Suppose -30 = 4*q + g*w, -q + 5 = -4*w - w. Which is the fourth biggest value? (a) -1 (b) q (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 14*i + 12. Let c be d(-13). Suppose -x = -3*k - c, -x + 2 = x. Is -6 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1665 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 13*w**2 + 2*w + 2. Let f be x(12). Suppose 0 = -i - g - 56 + f, i = 2*g + 117. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 333 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 137632 to the nearest one thousand.\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 greater than or equal to 370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*a - 573*a = 895*a + 31506 - 5401 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4))\/((-2)\/(-2)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89 + 1)*1190\/(-6545).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + z + 3, 2*m + 3 = -4*z - 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4651061922.\nAnswer: 2, 3, 13, 59, 336887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -117 (b) 0 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*b - 2 - 2, 5*y = 2*b + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 42 = -24. Which is smaller: j or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5 + 39\/(-45). Let y = 0.339 - -112.661. Let x = y - 118. What is the nearest to -5\/3 in 0.4, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 976?\nAnswer: 12688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.12, -9, 157 in ascending order.\nAnswer: -9, 1.12, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.8 (b) 2 (c) -0.5 (d) -4.1 (e) -3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99056, -199763, -300470, -401177?\nAnswer: -501884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009238033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22031 + -30?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -580353*n**2*z - 11*n**2 - n*z + 270287575*z wrt n.\nAnswer: -1160706*n*z - 22*n - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 - (2 + -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-84) + 2\/8. Suppose x*i = 8*i - 16. Let y(o) = -o**3 + 3*o**2 + 2*o - 1. Let m be y(3). Solve 8 = 4*r, r + 1 = i*g - m*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -537, -624, -717, -816, -921, -1032?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 + 6575*u\/9 - 4382\/9 = 0 for u.\nAnswer: 2\/3, 2191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11*r = 1610. Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.012 + -0.012. Let x = 0.5 + -1. Which is the third biggest value? (a) -1 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by ((-79)\/(790\/(-660)))\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315028 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5 + 8. Suppose -4*a + 28 = -0*a. Let i = b - a. Solve 0*j - i = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 12*l**2 + 6*l + 4. What is the units digit of v(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21021 (base 6) to base 3.\nAnswer: 10212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 904 - -2045. Let i = 5110 - v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 + 4*y + 7. Let j be q(-1). Suppose 0 = -5*h - 3 - 2, 2*h = 4*g + 122. Sort j, 0.5, g, -3 in decreasing order.\nAnswer: 0.5, j, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 1231057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348959?\nAnswer: 13, 17, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*m**3 + 9*m - 398 wrt m.\nAnswer: -174*m**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 421, 797, 1173, 1549, 1925?\n\"Answer: 376*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -38. Let q(c) = -c**3 + 5*c**2 + 6*c + 3. Let j be q(5). What is the greatest common divisor of z and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from {u: 5, r: 3, e: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(-3)\/p)\/p)\/p*p)**(-11\/5)*(p\/(p\/p**(9\/4)))\/p**(-4))**(-3\/11) assuming p is positive.\nAnswer: p**(-903\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8481192ng in grams?\nAnswer: 0.0000000008481192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 7, 9, 49, 0 in descending order.\nAnswer: 49, 9, 7, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-9))\/(6\/9) - -1848 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 3*w**2 - 4*w**2)*(-3*w - 3 + 3).\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-27)\/(-66))\/(-9) - -5 and 1\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -291, -652, -1151, -1782, -2539, -3416, -4407?\nAnswer: -5506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -119*k + 1313. Determine r(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9326.124 micrograms in nanograms?\nAnswer: 9326124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 - 2*f + 1. Let x be g(1). What is the third biggest value in 3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 233398293 - 233398293 + 8*o**2 - 191*o**3 as c*o**2 + h*o**3 + d + f*o and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b*b**0*b*b))\/b*b)**(1\/50))**(-9\/7) assuming b is positive.\nAnswer: b**(9\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l)**4\/((l*l**7)\/(l**(-2\/17)\/l))*(((l\/(l**(2\/9)*l))\/l)**25)**6 assuming l is positive.\nAnswer: l**(-47647\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.00386593 to 3 decimal places.\nAnswer: 44.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + (0 + sqrt(432) + 1 + sqrt(432) - -1*(sqrt(432)*2 + sqrt(432))))**2 + -1*((sqrt(432) - (1 + sqrt(432) - sqrt(432))) + -2)*-2).\nAnswer: -64860 - 3024*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 + -6868?\nAnswer: -7088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*x + 56*x - 4*x - 7 + (-4 + 5 - 2)*(1 + 2*x - 1).\nAnswer: -4*x - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:50 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 3*y + 3*y - 1)*(188 + 188 + 52*y - 373) to the form v + n*y**2 + s*y and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640862.\nAnswer: 2, 3, 91159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 649621 equal to 649622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7105.06946 + 7105. Round b to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42306.\nAnswer: 2, 3, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 141 = -4*z - 19*z + 4*w, w = 707*z - 707*z - 5 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8*n - 238 = 0. Suppose -n*m = -366 - 552. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 81*o - 2434. Calculate a(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 175*o**3 + 2*o**2 - 3*o + 2. Let d be m(1). Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:12 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236.6 - -211. Let f = -26 - p. Let m = 0.2 + 0.3. Which is the biggest value? (a) -5\/4 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749825, 749773, 749675, 749525, 749317, 749045, 748703?\nAnswer: 748285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 214\/(-428)*13\/(-3)*(-12)\/(-10)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 13*r**2\/4 - 226*r - 437.\nAnswer: (r - 38)*(r + 2)*(r + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-16)*(-996)\/(-54). Find the third derivative of o*g**4 + 38*g**2 - 18*g**4 + 76*g**2 wrt g.\nAnswer: 1560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(9)\/sqrt(75).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 20*a**2 + 71*a - 517. Determine h(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 1. Calculate r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11836 + 255?\nAnswer: 11a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 42*b = -o + 88, -10*b + 10 = -4*o - 9*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23935317*g**2*n - 14870*g*n - 8*g - n + 7 wrt g.\nAnswer: 47870634*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 105210*a - 2767286025.\nAnswer: -(a - 52605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 13 = -11. Let b be 44\/12 - 1\/(-3). Let u be b\/y + 16\/(-6). Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41139 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1704306 is divided by 90?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27*(-198)\/22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -74013247.\nAnswer: -2\/74013247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -767, 30, -2, 0, 14, 7.\nAnswer: -767, -6, -2, 0, 7, 14, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let p(r) = r - 4. Let h(u) = -10*u + 35. Let i(t) = 4*h(t) + 35*p(t). What is i(z(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*x + 3 = 0, -5*r = 35*x - 30*x - 5. Put 9, r, -3, 1 in descending order.\nAnswer: 9, 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000122235 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -72, -109, -146?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5645*t**2*v + 6304*t**2 + 32275756*t - 4*v - 2 wrt t.\nAnswer: -11290*v + 12608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b. Let j(f) = -45*f. Let u(g) = 4*g. Let t(n) = -5*j(n) - 54*u(n). Let z(k) = -3*t(k) - 8*v(k). Let d(r) = -16*r**2. Give z(d(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 9*q**3 - 6 - 1 - 26*q**3.\nAnswer: -17*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -6. Let s = -1.16852 + 4.16852. Which is the smallest value? (a) w (b) -0.3 (c) s (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + g)*(49 + 100 - 11)*(579 + 53*g**3 - 579) as a*g**4 + i*g + f + x*g**3 + z*g**2 and give a.\nAnswer: 7314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -99*k - 2. Let a(h) = 5*h**2. Give n(a(d)).\nAnswer: -495*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3724 - -4?\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b**3 - 4*b**2 + 2*b + 2. Determine w(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 2 = 4*f. Suppose -3*m + 1 + 2 = 0. Let p be m + 9 + (-4 - -1). Solve 0 = 3*n - 2*n + 3*c + p, -n - 15 = f*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-42))\/((-17)\/((-153)\/(-15))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51030686 divided by 1\nAnswer: 51030686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104738 is divided by 554.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b - 5. Let f(d) = d - 1. Let y(z) = 5*f(z) - h(z). Let j(t) = 3*t. Let r(p) = -2*p. Let v(k) = -5*j(k) - 8*r(k). Determine y(v(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 304*u**2 - 326*u + 56. What are the prime factors of n(-6)?\nAnswer: 2, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139586129 to the nearest integer?\nAnswer: 33758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2427*a - 2430*a + 35 = -4*n, 2*n - 35 = -9*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of ((-2093)\/182)\/((-2)\/3336)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483874023 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 3:08 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 3*u)*(-5*u**3 + u**3 + u**3) - 2*u**2 + 2*u**2 + 2*u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 167086492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 118, -48.\nAnswer: -48, -5, 13, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 6251*y**4\/4 - 160*y**3 + y + 4849. Find the third derivative of k(f) wrt f.\nAnswer: 37506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f**2 - f + 1. Suppose 8*l + 48 = 11*l. Calculate the lowest common multiple of l and v(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3314422?\nAnswer: 2, 17, 71, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = 10. Let v = -3 - z. Let h = v + 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876464 divided by 16.\nAnswer: -54779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/24 + 61\/4. Suppose -s + n = 4*s, -s = i - 94. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/20*5\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.88, -0.3.\nAnswer: -0.88, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/11 (b) -23 (c) -2\/5 (d) -1 (e) 2\/117\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000032156343 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 2*u**3\/3 - 2. Let g(v) = -16*v + 10. Let b(d) = 5*d - 3. Let y(p) = -10*b(p) - 3*g(p). Give y(j(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4502 + -42424?\nAnswer: -51330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + (-4*(1 + sqrt(176)))**2 + 2*(-2 + sqrt(1331)).\nAnswer: 154*sqrt(11) + 2828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 291897000 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 98672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1271 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t = 0. Suppose t = -0*x + 4*x - 8. Let q = -19 - -35. What is the highest common factor of q and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (15 - 18) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-7)*11\/16*1160\/145.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -31*o**2 - 151*o + 19. Let w be n(-5). Let z(y) = 6*y + 19. Let l(a) = a - 1. Calculate w*z(r) + 4*l(r).\nAnswer: -2*r - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -247 + 207 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -14. Suppose 0 = 4*j - b - 12, -x*b = -3*b. Solve -j*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*z + 19, -z + 1 = -2*l - 0*z. Solve 8 = -l*x - 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 841, 843, 845, 847?\n\"Answer: 2*g + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/13423 or 1?\nAnswer: 11\/13423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/((o\/((o\/o**8)\/o))\/o)*(o*o\/((o**(2\/19)\/o)\/o)*o)\/o*o**(-1\/8)*o*o\/(o**43\/o) assuming o is positive.\nAnswer: o**(-6419\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10165, 10166, 10167, 10168?\n\"Answer: b + 10164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290\/147 - -10814\/49. Let i = p + -15017\/66. Find the common denominator of i and -75\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110101101 (base 3) to base 15\nAnswer: 15287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/5)\/t*t*t**(1\/3)*t*t**(-4)\/(t*t**5*t*t) assuming t is positive.\nAnswer: t**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 2.66, 2, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -198*f + 18. Suppose 0 = 3*y + 2 - 11. Let n be c(y). Round n to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3372836 is divided by 1442.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 2*n + r + 4*r, 354052*n + 1 = 354051*n + 3*r for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3216*x**3 + 3103*x**3 - 6315*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 49 + 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 350*p - 14. Let h be c(-1). Let m = -32 - h. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-660)\/45)\/((1\/(-3))\/(-1)). Let i = 46 + u. Let j(x) = -12*x + 3. Calculate j(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4008 = -2*t, 3*h + 2*t = 8*h - 10008. Calculate the highest common divisor of 80 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from okkqff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.149282ns in microseconds?\nAnswer: 0.005149282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -29, -28, -27?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2355068 and 2355069 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2453502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03056349 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2)\/((-12)\/8). Sort 1, m, 0, 4 in decreasing order.\nAnswer: 4, m, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -28, -21, 10, 77, 192?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - c = 940, 0*r + 2*r + c = 383. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than -13.68218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w**3 - 43*w**3 - 2*w**2 - 108*w**3 - 28*w**3 + w**2.\nAnswer: -78*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6 = 7*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360.1 - -2230174810?\nAnswer: 2230173449.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 49*n**2 - 2*n + 561169. Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 8281?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + -0.17. Sort 0, y, 0.3.\nAnswer: y, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24240.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4722 and 420876582?\nAnswer: 4722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12232*p**3 - 3*p**2 + 5. Let o(r) = -6114*r**3 - r**2 + 2. Give 5*o(h) - 2*z(h).\nAnswer: -6106*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:00 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/38 + 5\/(-15). Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(-5*sqrt(252) + sqrt(63) - sqrt(504)\/(sqrt(16)\/sqrt(2)) - 4*(sqrt(252) - 1*sqrt(252) - sqrt(252))))**2.\nAnswer: 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, 0.2, -73.59?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2134*m + 16704. Calculate p(-8).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2539*w = 2538*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 2, k: 1, u: 1, r: 1, v: 11}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 1. Let w = 11 - 14. Let g(n) = 5*n**2 + n - 1. Calculate w*v(a) + g(a).\nAnswer: 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36878 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76.9267 - -89.58666. Let c = b + -12.59. Let a = c - 0.07. Round a to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -28, -48, -74, -106, -144?\n\"Answer: -3*p**2 - 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -3411?\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -17913.\nAnswer: -17913, -14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30738853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.6298455 hours?\nAnswer: 2267443800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfnbfcfbbffuuun. Give prob of picking 1 n and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7274, -7279, -7286, -7295, -7306, -7319, -7334?\n\"Answer: -v**2 - 2*v - 7271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-19 - -89) - (-1 - 12 - (-2 - 1))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1229612 and 584.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58320579*b**2 + 1572416*b - 2 wrt b?\nAnswer: -116641158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - -13.06. Let n = x + -14. Which is the second biggest value? (a) 0.03 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72 and 0.0729438.\nAnswer: -5.2519536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 3*j - 17*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38\/753 - 210277\/3765. Sort t, -0.3, 0.1.\nAnswer: t, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/14 and 4 - (26\/40)\/1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 13*o**8\/560 + o**6\/18 - 10*o**3 + 1. Let x(j) be the third derivative of m(j). What is the third derivative of x(t) wrt t?\nAnswer: 936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36484140887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:07 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 18 - 47. Solve g = 4*i + c, -5*i + c - 4 = 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52932 (base 14) in base 7?\nAnswer: -1460162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1540 = 4*u - 5*m, -m = 3*u - 749 - 425. What is the smallest common multiple of u and 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(162))*-5*3 + (4*(sqrt(162) + 0) - (-5 + (-1 + sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162))))**2 + 3.\nAnswer: 2106*sqrt(2) + 27462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*p + 99*p - 170*p = -73*p + 7654 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 15 = -3*k, -4*k - 4*t + 31 - 19 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -17. Suppose -r*g - 67 = -2*t, -1 - 3 = 4*g. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43259 times 0.4\nAnswer: -0.173036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002002022100000 + -222?\nAnswer: -1002002022100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -7. Let x(p) = -p + 12. Let l be x(m). Let r(n) = 21*n**2 - n. Let v be r(1). Solve -k + z + 2*z = -v, -4*k = -l*z - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-39)*u*u**(-1\/41)*u*u)\/(u**(-29)\/(u*u**(-8\/3)*u)) assuming u is positive.\nAnswer: u**(8771\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 15*s**5 + 355*s**4 - 405*s**3 - 52195*s**2 - 247170*s + 88200 = 0?\nAnswer: -15, -14, -7, 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.69*-0.111.\nAnswer: -0.74259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a - 2*a**2 - 13*a - 39*a**2 + 14*a**2 + 159*a**2 + (4 - 4 + 1)*(-20*a - 2*a**2 + 20*a) to the form l + u*a**2 + y*a and give u.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -47*i + 2. Let o be y(2). Let r = 485 + o. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*o + 331*o + 344*o + 10*o - 149*o to p*o + h and give p.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/27)\/(z\/z**(-20)))\/((z*z**(-14))\/z**27) assuming z is positive.\nAnswer: z**(511\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170.98 - 145. Let x = j - 26. Let p = x + -5.78. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28369181, -56738361, -85107541, -113476721, -141845901?\n\"Answer: -28369180*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -173*l**2 + l - 1. Let v be f(-2). Do v and -696 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2753 + 0.0247. What is the biggest value in 0, 0.61, f, -1\/9?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83333.46 grams in tonnes?\nAnswer: 0.08333346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(24)\/(sqrt(4) + sqrt(8)\/sqrt(2))))\/(sqrt(36)\/(sqrt(12) - (sqrt(12) + -2*sqrt(1728)))).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16562 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 4*z. Let s = z + 5. Let j = -216 - -219. Solve -x - 5*i - 7 - 22 = 0, j*i = x - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55508178 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 187260776693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.374072 meters to nanometers.\nAnswer: 1374072000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 169, 254, 339, 424, 509?\n\"Answer: 85*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40 + (7 - (7 - 6)). Suppose -5*u - 70 = -5*s, 3*s + 4*u - y = 10. Is s at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(725\/(-50))*(747\/2)\/9?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 32 - 30 - 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4086.\nAnswer: 5\/4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 7*l - 48. Suppose r = -r + 30. Let a = r + -3. Calculate the greatest common divisor of l and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -644552 - -644582.00056. Let c = 25.5 - -4.5. Let m = c - n. What is m rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-10) - -3) + 76\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*y + 18, 4*r + 81 - 87 = -22*y + 48 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 310?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*u**3 + 13*u - 19\/2*u**2 + 0 = 0. Calculate u.\nAnswer: 0, 2, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 20. Let r = p - -7. Suppose 95 = -0*u + r*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17*p - 137. Give l(15).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -20 - 23 + 4*o**2 + 50 - 10*o - 36. What is the units digit of l(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747581?\nAnswer: 83, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/90 + p**4\/6 + 7*p**3\/9 - 103*p**2. Find a such that q(a) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 2*g**5\/5 - 207*g**4\/4 + 813*g**2\/2 - 528. What is the second derivative of d(o) wrt o?\nAnswer: 24*o**2 - 1242*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 99861888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 339*540\/(-243)*84\/5. What is v rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -1\/4 (b) -4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 10*y**2 - 24*y - 1. Let j be a(-12). What is the common denominator of 7\/2 and j*(4 + (-1602)\/552)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-410)\/(-738))\/((-8)\/24)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444458466 a multiple of 2169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -h - 17, 20*h - 2*q - 947 + 453 + 456 = q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 10 + 14*u**2 - 3 - 7.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 588 and 686.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1930*r. Let t(w) = 4*w**2. Give s(t(j)).\nAnswer: -7720*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.1 and 4305.\nAnswer: 159715.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7130 = -241*u - 28*u - 1750 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1569*w - 441*w - 1374*w to t*w + n and give t.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, i: 1}. What is prob of picking 2 g and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = -6*t. What is the remainder when 39 is divided by (9\/t)\/((-3)\/28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -402104411?\nAnswer: 402104420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a = z - 152, 5*a + 102 = 25958*z - 25955*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1436989\/(-51372) + (-2)\/72?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-30) - (-24)\/5. Suppose 10*b = s*b + 250. Calculate the greatest common divisor of b and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8000 - 2736 = -11*u. Let v = 1503 - u. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240923 and 213853.\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.245 + -0.345. Which is the closest to -1\/9? (a) v (b) -1\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4054 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-3 + 3 - z) + z + 3*z - 3*z + (-4 + 4 - 1)*(2*z - 5*z + z) + 4*z - 2*z - z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 39*b**2 + 541*b + 448. Give c(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -236 in descending order.\nAnswer: 6, -2, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 8 = -3, 5*o = 4*c + 23625. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68956*r + 68849*r + 5029 = 0 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5\/3 - 6745*d**4\/3 + 505860*d**3 - 1456900*d**2\/3 - 12167920*d\/3 + 6043520 = 0. Calculate d.\nAnswer: -3, 2, 284, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 361. Let j(s) = -812. Let k(l) = -9*i(l) - 4*j(l). Let b(f) = f + 40. Calculate b(d) - 4*k(d).\nAnswer: d + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -31. Let o = -222 + 224. What is the remainder when j is divided by (-1)\/o - 110\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1888 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(49)*-2*-1)\/sqrt(7).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 656 and 655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8620 - -26996. Let c = -23729 + f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - -13. Suppose -3*a + k = -4*b, -b = -4*a - 0*b + 107. List the prime factors of (-229)\/(-2) + 14\/a.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from dufruuf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*y - 4*x, 3*y = 18*x - 19*x + 64. What is the remainder when 657 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -617*c**2 + 1104*c**2 + 1 - 598*c**2 - 4*c**3 - 7*c**3 as k*c + x + f*c**3 + u*c**2 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 7 - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 23*t**2 + 96*t + 1. Let o be v(5). Suppose -4*i - 304 = -0*i. Let m = i - -108. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 g when three letters picked without replacement from iiigggiighggigchiiig?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/6628 and 3\/1239436?\nAnswer: 1239436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1518571 meters to micrometers.\nAnswer: 151857.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -29*i**8\/4 + 65*i**4\/3 + i**2 + 2*i - 366. Find the third derivative of d(v) wrt v.\nAnswer: -48720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-47))\/(-8*(-4)\/8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65533632?\nAnswer: 2, 3, 341321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 - 2*f + 1. Let r(c) = c - 6. Let z be r(9). Suppose 0 = -x - 2*u + z, -u + 3 - 2 = 0. Determine m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45600023 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*3*1\/3. Suppose 42 + 188 = l*b. Suppose 0 = -i + 3*z + b, 0 = 2*i + 5*z - 176 + 62. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -32. Let k(n) = -11*n - 7. What are the prime factors of k(u)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 - 396 + 192 = 46*s. Suppose 3*m + 17 = 5. Sort 2, m, s in descending order.\nAnswer: 2, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40727 divided by -34\nAnswer: -40727\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfnx when four letters picked without replacement from {g: 2, l: 2, n: 4, x: 6, f: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-12) - (-2 + 3 + (-75)\/45). Sort 10, 4, 0, 34, p in ascending order.\nAnswer: p, 0, 4, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -450, 5, -4.\nAnswer: -450, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1450535875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v - 14 = -o, 0 = 5*o + 4*v. Let q be 2\/(o - (-6)\/(-1)) - -1. Suppose 3*l - 3*w - 6 = q, -l - 4*w - 2 = -3*l. Solve -4*j + l = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14*r*r**4)**35\/((r**(-5))**(-9))**(16\/11) assuming r is positive.\nAnswer: r**(6595\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251376923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by 74440\nAnswer: 23\/14888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*c + 26, -3*p + 5*c + 6 = -7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 1039 = 79*j, 0*h - 9 = -h + 21*j - 22*j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekeeeeeeeek. Give prob of sequence ek.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foom when four letters picked without replacement from fmfffomflfflof.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3239 - -493. Suppose 8*y - 11*y + 5*v = -f, -3*y - 4*v + 3759 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*a - 40, -51*h + 46*h - 26 = -a. Sort -3, -5, -65, 1, h in ascending order.\nAnswer: -65, -5, h, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, t: 17}. Give prob of sequence lttt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:55 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21316896 to 4 dps.\nAnswer: -0.2132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015243157 rounded to five dps?\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 7*j = -126. What is the remainder when 36 is divided by 180\/(-42)*j\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24119 by -2995.\nAnswer: -24119\/2995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 622731600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -2\/3*r**3 + 3*r**2 + 0 + 23*r + 1\/12*r**4. Determine o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/3 - 6625*o\/3 - 8828 = 0. What is o?\nAnswer: -6621, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3*f**5 + 5*f**5 + 6*f**5) + (1 + 2 - 1)*(-88 + 48 + 46)*(-2*f**5 + 2*f - 2*f).\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*d - 7 = 0, 4*q = -4*d + 2*d + 58. Suppose -l + q - 2 = 0. Solve 3*i + l = 6*x - 4*x, -2*i - 11 = -3*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1283540*k + 876802?\nAnswer: -1283540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4 - 10. Suppose -10 = -n - n, 2 = 2*b - v*n. Solve -b*g - 5 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2326 - 1552 = -2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963 is divided by 152.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*w - 2*r**3 + 138*r**2*w - 1517*r**2 - 3*r*w - 1989285*r - 16*w wrt r?\nAnswer: 6*r*w - 12*r + 276*w - 3034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/8 (b) 10\/23 (c) -26\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62221475.\nAnswer: 5, 1543, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.02501\nAnswer: 0.07503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -1.1. Let t be -3*2\/(-6) - 5. Let w be (t\/(-50))\/(3\/(-5)). Which is the closest to u? (a) 0.2 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16454, 32910, 49366, 65822, 82278, 98734?\nAnswer: 115190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (10 - (0 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*b = -96*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 4. Let k(l) = -5*l - 9. Let o(v) = -6*k(v) + 13*w(v). Calculate the lowest common multiple of o(4) and 51\/5 - (-3)\/(-15).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9*d = 36. Let f be (d\/(-12))\/(3\/12). Factor -4*t**3 + 4*t**3 + 0*t**3 + t**3 + f*t**2.\nAnswer: t**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -9*o**4\/4 - 4*o**3\/3 + 9*o**2\/2 + 5321. Let q(c) = 4*c**3 + 2*c**2 - 5*c. Determine -13*q(s) - 6*z(s).\nAnswer: 2*s**3 - 2*s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*o + 94*q - 92*q, -5*o = -5*q + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1351 + -726. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(80)*2*6 + (1*(sqrt(80) + 0 - sqrt(80)) - sqrt(80))**2.\nAnswer: 78 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7821 and -0.1.\nAnswer: 782.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*m + 14. Let q be 3*m*4\/(-18). Which is the nearest to -1? (a) q (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 45 + -38 + 1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110 - 75 + 35)*(5*w - 12*w - 9*w)*(-1 - 2 + 1) in the form r + m*w and give m.\nAnswer: -4800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5412387 to the nearest integer?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 42. Let x be g(-9). Solve -l + 5*c = c + 13, 3*l - 4*c = -x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 9. Let j = 669 - 672. Let s be (-8)\/a + j\/5. What is the highest common divisor of s and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 928 - -7?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*c - 1. Let a(h) = -1 + 6*h + h**c - 4 - 3. List the prime factors of a(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-441)\/6111*50\/70?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.2147.\nAnswer: -0.02147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3844\/9*j + 1847042\/9 + 2\/9*j**2.\nAnswer: 2*(j - 961)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 39 + 297 = 0. Let m(i) = -i**3 - 4*i**2 - 3*i - 4. Calculate the lowest common multiple of u and m(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41462, -82927, -124406, -165905, -207430?\n\"Answer: -u**3 - u**2 - 41455*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 2:17 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 68 = -2*o + 3*i, 2*o - 67 = 3*i. Let q = -20 + o. Suppose -v = 3*v - q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 102 = -2*h, 4*n = -68*h + 73*h + 67 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -26. Suppose -r = -2*r + n. Let q = r + -84. What is the common denominator of -28 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a = 19*a - 65 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*n = -13, 16 = 5*v + 4*n - 37. Suppose -h + 3*h - 24 = 0. Suppose h*a**3 + 3*a**2 - 6*a**2 + a**2 - v*a**3 = 0. What is a?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1257 and 25.93?\nAnswer: 25.8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -7, -3, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - 3. Let m = 22 - 25. Sort 0.04, z, m.\nAnswer: m, z, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 16558\/13343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71040 divided by -40.\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 11*o**2 + 5*o + 19 - 8*o + 3*o - 32.\nAnswer: 11*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/20)\/((-72)\/180*3\/(-15)*-5)?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416823 and 57?\nAnswer: 7919637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (156\/(-390))\/(2\/(-160)). Put j, 0, 1 in increasing order.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 861 and 189.\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -70 + 4. What is the remainder when 36 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 12*x**2 + 11*x - 15. Let n be c(11). Let r be (n - -9)*(-1 + -31). Suppose p - 4*p = -r. What is the remainder when p is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/90 - (-2 + -2). Let t = -16\/3 + g. What is the third biggest value in t, 2\/13, 0, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*x + x + 4*x + 2 + 3*x wrt x?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3446 + -1077. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32933360 to the nearest 10000.\nAnswer: -32930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 1441, 2988, 5097, 7774?\nAnswer: 11025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14835830 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41206, 82392, 123578, 164764, 205950?\n\"Answer: 41186*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2102 - -3754. Is v a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/20)\/(2\/(-120)). Suppose 2*q = 6, 2*a - q + 3*q = d. Solve o + a = 4*f, -2*f - 25 = o - 7*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265*k + 28 = -5*i - 1263*k, -k = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 4*x. Let a be 3*1*(-1 - 25\/(-15)). Let i be k(a). Solve 2 = -3*h - i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582279267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) -1277591 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (72 - 58)) + (2 - -23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/66*((-1344)\/28)\/(-16)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975*q**2 - 32*q**2 - 4 + 4 + 530*q**2.\nAnswer: 1473*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1788 and 83\/2384.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 13) in base 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001725 to 5 dps.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -2 (c) -4.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbmbwwymmmbm. What is prob of picking 1 y and 1 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4466?\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45, -24, -316 in descending order.\nAnswer: 45, 5, -24, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1*-4*1. Let b(d) = -12*d + 41. Let f be b(3). Suppose -a*g - 11040 = -u + f*u, -4*u - 11040 = 2*g. What is u rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 26 - 45) + (-3 + 2 - -3) + -27.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j + 2. Suppose 5*n + 1188 = -13*n. Let d = -61 - n. Is d at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/10*275\/(-22). Let z(p) = -1 - 4 + 4 + 6 - l*p. Is z(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-85))\/(15141\/(-10815)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 - t**5\/30 - 5*t**4\/24 + 5*t**3\/6 - 2*t**2. What are the prime factors of n(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 13*v**2 - 16*v + 58. Let m be n(14). List the prime factors of (2072\/10)\/(13 + (-378)\/m).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 14) to base 12\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2167, 4334, 6501, 8668?\n\"Answer: 2167*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + y + 380, -4*y = -18 - 2. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeweeeee. Give prob of picking 3 e and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 140?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -24568*r**3 - 2*r**2 - 18*r - 30. Let x be b(-2). Differentiate -41*k**3 - 196542*k**2 + 214 + x*k**2 wrt k.\nAnswer: -123*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/12*-1 + 8216\/32 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (493 + -494)*(4 - (-192)\/(-28)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 16532*x**2 + 2604960*x + 5143824.\nAnswer: 4*(x + 2)*(x + 162)*(x + 3969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1523 - -1512. What is the closest to 0 in 3, y, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(1900))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62\/13, 0.89, 39\/116?\nAnswer: 39\/116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 12 + (2 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and 2?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 213. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.27 - -0.03. Let t = 1.3 - u. Let o = t - 1.00000032. What is o rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -219 (b) 41 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -0.4 (c) -0.1 (d) -6358\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {h: 1, x: 1, l: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2982 and 229\/984060.\nAnswer: 984060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a947c (base 16) to base 12.\nAnswer: 1351850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 14. Let z be y(-4). Suppose z*f + 37 = 675. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 65293*s**2. Let r(h) = 2*h. Give y(r(w)).\nAnswer: 261172*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140616 and 3968.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - (1 - -2))\/(-2). Sort -8, x, 3 in decreasing order.\nAnswer: 3, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13241 + -5?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/2 of a millennium?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -2\/9 (c) 16 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.5. Suppose -125 = 7*p - 132. Put p, m, -4, -0.1 in descending order.\nAnswer: p, m, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3887 + 5187 - 5649)*(3*c - 3*c - 2*c) in the form q + k*c and give k.\nAnswer: -6850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153197, -306405, -459613, -612821?\n\"Answer: -153208*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((120\/36)\/(5\/(-30)))\/((-2)\/44). Solve k*r = 429*r - 88 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29042065 - 315*n**2 - 29042065.\nAnswer: -315*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -110503, -0.5, 5, -39 in descending order.\nAnswer: 5, -0.5, -39, -110503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 44*n**2 + 3*n - 10. Let x be (-1 - ((-64)\/12 - -3))*-3. List the prime factors of w(x).\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 - (22\/2 - (-1859)\/(-165))\/((-28)\/(-210))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + f + 11393, 2*f + 3556 - 11138 = -2*j. Suppose -q + 4*x + 755 = 0, -12*q - j = -17*q - x. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f - 4*f)*(-3 - 2 + 4 + (2 + 7 - 3)*(37 + 13 + 14)).\nAnswer: 383*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9107 divided by 350?\nAnswer: 1301\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-6)\/4)*0. Suppose r + r - 12 = v. What is the remainder when ((-2052)\/1140)\/(2\/(-10) + 0) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwyy when four letters picked without replacement from ydywi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -7*v**4\/12 - 7*v**2\/2 - 6*v - 9. Let z(o) be the first derivative of g(o). Find the first derivative of z(h) wrt h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220212222002 - 11?\nAnswer: -1220212222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*m + 371 = -113*m. Suppose 1 = 2*k - m. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = c - 6. Let n be (c\/10)\/(7\/35). Is (15\/n - -3)*94 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in -0.1, -4, 2\/15, 9\/10, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 13. Let y(x) = 2*x + 27. Let l(h) = -10*i(h) + 6*y(h). Does 9 divide l(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -107*r + 1811. Let x(w) = 18*w + 1. Calculate -n(c) - 6*x(c).\nAnswer: -c - 1817","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3448387079 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45869.33 days in seconds?\nAnswer: 3963110112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 + 602*f**2 - 45600*f + 45000 = 0.\nAnswer: 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 14) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33866?\nAnswer: 2, 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-566)\/(-3)*9\/(-6). Let h = g - -163. List the prime factors of (7 - 1)*h\/(-36).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*i - 995*i + 1 + 501*i.\nAnswer: -38*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321507694 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81.2? (a) 0.2 (b) 25 (c) 329 (d) 0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17467 * -0.5.\nAnswer: -0.087335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5, 2*z - z = -4*u + 23. Solve 0 = z*g - 0 - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 2 i when four letters picked without replacement from {w: 2, i: 10, l: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 48 = -16 + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4076 and -17\/8152.\nAnswer: 8152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/12 + c**5\/15 - c**4\/4 + 4*c**3\/3 + 4*c**2 + 76. Let d(w) = -w**3 + w**2 - w + 1. Determine 6*d(h) - f(h).\nAnswer: 4*h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**2 + 103*b - 15. Let g = 516 - 528. What is the remainder when t(g) is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2418105 and -0.3.\nAnswer: 0.07254315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = 5*w + w - 1682. Calculate the remainder when 10485 is divided by w.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113 (base 8) to base 13.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(2673)*3*-1)\/(sqrt(132)\/(-6*sqrt(36)\/sqrt(3))))**2.\nAnswer: 1259712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(405)*6.\nAnswer: 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-159)\/(-1) + 136\/17. Suppose -b = 4 - 6. Suppose -b*v - 5*i + 93 = 0, -4*v + v - 2*i = -k. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100010111?\nAnswer: -100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 - 8*k + 5. What are the prime factors of s(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -41, -49, -57, -65?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n - 37*n - 62 + 14 = 10222*b - 10214*b, -3*n - n = -4*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 37*i**3 - i + 114. Let u(m) = 36*m**3 - m + 113. Let f(z) = -4*r(z) + 5*u(z). What is the derivative of f(n) wrt n?\nAnswer: 96*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:08 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/15? (a) 7 (b) -4\/7 (c) 0 (d) 2\/693\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aooo. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 5. Let q = -3 + 3. Suppose q*m + m = 0. Suppose 5*v = -m*v. Calculate t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 18. Suppose -4*i - 6 + 18 = v*m, 6 = -3*i. Suppose -m*s + 0*z = 3*z - 18, 5*z + 5 = 5*s. Calculate the highest common factor of s and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940\/160*(-22)\/(-517)*-424.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163957\/5558 - 2\/2779. Let t = 29 + j. Let w be (9\/12)\/((-54)\/16). Which is greater: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/((-171)\/72)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/78 and 137\/162084?\nAnswer: 162084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126278149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**6\/45 + x**5\/30 + x**4\/18 - x**3\/9 + x. Let j(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(931) - (sqrt(931) + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/57 in 2\/3, -0.2, -26, -0.3, 21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, b: 1, t: 3, d: 1}. What is prob of picking 1 d and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8146, -16293, -24440, -32587?\nAnswer: -40734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.66 + -0.06. Let a = t + -6.5. Let q = 1.1 - a. What is the second smallest value in q, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 13*t + w, 0 = 713836*t - 713833*t - 2*w + 54 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -12. Let t = -5 - a. Let k = t + 7. Sort -0.3, -4, k in ascending order.\nAnswer: -4, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0*a**3)**41*((a**1)**42)**(3\/29) assuming a is positive.\nAnswer: a**(4882\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + 0.05. Let b = -55.215 - -55. Let r = b + o. What is r rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11723967?\nAnswer: 3, 434221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1674 and -1700 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/7, 0.1106, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193 + 204. Suppose -4*x - a + 13 = 0, -3*x + 5 = 2*a - f. Suppose -4\/7 - x*i + 8\/7*i**2 = 0. Calculate i.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8763609, 8763610, 8763611, 8763612, 8763613, 8763614?\nAnswer: 8763615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, -96, -1, 0 in ascending order.\nAnswer: -96, -1, 0, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 5*t**4\/24 - t**3\/3 - 4*t**2. Is z(6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76857*h**3 + 27*h**2 - 2*h + 5 wrt h?\nAnswer: -461142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144910442 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-24)*((-348)\/(-8) + 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107429 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {x: 1, y: 1, v: 1, b: 1, t: 1, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21556.\nAnswer: 2, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 568164, 1136325, 1704480, 2272629, 2840772?\n\"Answer: -3*t**2 + 568170*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 271*d**2 - 647*d**2 + 429*d**2 + d**3 - 1750 wrt d.\nAnswer: 3*d**2 + 106*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01140694181 rounded to 5 dps?\nAnswer: 0.01141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 5*u + 5. Let f be n(2). What is h in 2*h**5 + 2*h + 2*h**3 - 4*h**3 - f*h**3 + h**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(((-540)\/(-100))\/(18\/(-60)))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*o - 7 - 1 = 0, b + 4*o = 8. Let v be 15\/120*(1 - (-63)\/(-61)). Let y = 205\/9516 - v. Is y greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1446.483 * 6.\nAnswer: 8678.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccc. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*f**3*j**3 + 5*f**3*j**2 - 7*f*j**2 wrt j.\nAnswer: -312*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33261887 rounded to 2 decimal places?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 - 20*b - 2226*b**3 - 2238*b**3 + 4467*b**3.\nAnswer: 3*b**3 - 20*b**2 - 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4864152.5 rounded to the nearest 10000?\nAnswer: 4860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14634 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4553.\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11657461 (base 9) to base 6.\nAnswer: 322153131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42308535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3553807\/5 + 710761. Let d be (-5)\/(-6) - (0 - -1). Put -0.2, -5, b, d in decreasing order.\nAnswer: d, -0.2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-38)\/4 - 7\/(-28))*-4. Suppose 0 = 8*u + 13 - q. Solve f = -2, -u*c - 2*f - 29 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.3, -0.1, 2\/37, 2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*l + 4167*l - 1038*l - 12 - 1048*l - 1041*l.\nAnswer: -9*l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2608\/15 - -174. Let c(x) be the first derivative of -2 + 0*x**2 + 2\/5*x - u*x**3. Factor c(v).\nAnswer: -2*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**3\/3 + 4*g**2 + 14*g. Give c(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -2 - (-24 + 13 + 17).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -179823 divided by -1?\nAnswer: 179823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278*i*v + 414*i - 88907*v + 2 wrt i?\nAnswer: 278*v + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 8 + -5 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2. Let u(s) = s**2 + 4*s - 2 - 5*s + 1. Let x(c) = 2*c**2 - 3*c - 3. Let h(y) = -3*u(y) + x(y). What is h(a(n))?\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/49, -2, -2\/15?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*m = 13, 2*w + 0 - 12 = 4*m for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 10 + -15 - (5 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93007815445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2202?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 544370599 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1902c - 9?\nAnswer: -19035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p**2 - 24*p - 11. Give v(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-14))\/((-47)\/((-26320)\/120))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -17 + 36 + (0 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 67. Suppose -7*b - p = -10*b. Solve -4*f = -3*j - 8 - 2, b*f + 5*j - 26 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 997 - 700. What is the remainder when n is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 2 - (sqrt(20)\/sqrt(10) + 0).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from uubuk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-45)\/b**36 assuming b is positive.\nAnswer: b**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + 10. Let m = 446888\/11 + -40626. Which is the smallest value? (a) m (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 58. Let n be m(-18). Let s be (-15)\/(-5) + 0 - (2 - n). Solve 0*g + s*x - 23 = g, g - 12 = -2*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**(1\/60))**(-16\/7) assuming s is positive.\nAnswer: s**(1\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/51 - -10\/17. Let p be 6\/4*14\/(-7). Let m = -0.36 + -1.64. Which is the closest to 0.2? (a) p (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = 4*j, -v - j + 11 = 9. Suppose -y + 2*y - 48 = 0. What is the greatest common divisor of v and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5913*q + 216. Let l(z) = -275*z + 10. Give -108*l(c) + 5*r(c).\nAnswer: 135*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(0 + 1\/1). Suppose -28 = -2*p - 4*c, i*c + 37 = 2*p - 5*c. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (17 + -56 - -12).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f = 64*f. Suppose 0*q = -3*q - 4*l + 1979, -2*q - 3*l + 1321 = f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273102797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 932 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*n - 29, -549*b + 557*b + 4*n = -76 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/189845 + 73660049\/11960235. Let q = 2\/7 + t. Find the common denominator of q and -53\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259887126*j**3 + 330972480*j**2 wrt j?\nAnswer: -1559322756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**3 + 4*f**4)*(-2 + 1 + 2)*(-4*f - 7*f + 5*f).\nAnswer: -24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5885 - 31.8785. Round r to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:28 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 6. Suppose b*j - 1 = c, 2*j = -j + 6. Differentiate 4*a**c - 1 - 5*a**2 + 5*a**2 - 2 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**3 - 2*r**2)*(0*r + 0*r - r) - 3*r**4 + 15*r**4 - 2*r**4 + (-4 - r**3 + 4)*(-r + 3*r + 0*r) + (0*r + 0*r - 2*r**3)*(-30*r - 23*r + 12*r).\nAnswer: 89*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(17) + sqrt(17)*1 + sqrt(17))*-1*1 - (sqrt(17)*2*6 + -1*sqrt(1088))))**2*-1.\nAnswer: -834 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 58184\nAnswer: -5818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5620 + 8047. List the prime factors of j.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 330966\/96347 + -244\/71. Let p = a + -16262\/14927. Let j = -80\/33 - p. What is the closest to 0.3 in j, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfhw when four letters picked without replacement from wffwhwffwwhw.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2065\/(-1035))\/(219\/1314)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 507 + -207. Calculate the least common multiple of 60 and x.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**7\/735 - v**6\/84 + 4*v**5\/105 - v**4\/21 - 4*v**2 + 7*v. Let f(a) be the first derivative of g(a). Factor f(k).\nAnswer: 2*k*(k - 2)**2*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/21)\/l**(-12))**(1\/43) assuming l is positive.\nAnswer: l**(254\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:51 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/18 and 99\/12110?\nAnswer: 108990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 4*t - 19. Let s be a(-7). Solve -s = -5*p - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 - 3 - 5*u + 3*u**3 - 2*u**4 - 1 + 3 to the form y*u**3 + q*u + a*u**2 + i*u**4 + p and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/324*-12)\/(29\/6*-1).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3780, -17, -2 in ascending order.\nAnswer: -17, -2, 3, 3780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-4)\/10*344\/(-32). Let z be 6\/15 - 284\/(-70). Let c = l + z. Calculate the common denominator of c and -87\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000011111 (base 2) to base 11.\nAnswer: 11a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10310*w + 10400*w - 1800 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1287*i + 2*i**2 - 401 + 866*i - 2153*i.\nAnswer: 2*i**2 - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3344 and 1672?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 4*m**2 - 2*m - 2. Let h be j(2). Let k = 4 - 3. Suppose -5*s = 2*u + k - 5, -4*u - 16 = -h*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 106 - 142)*(2*x + x - 2*x).\nAnswer: -230*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -39.23. Let q = n - -0.37. What is the nearest to q in -4\/5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + 8. Let a be -1 + (-56)\/(-1 + 0). Let u = a - -59. Calculate the least common multiple of u and n.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1410 and 0.3.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*j + 330 = -0*x, 0 = 5*x + 2*j + 566. Let y = 221 + x. What are the prime factors of y?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - 5*(sqrt(68) - (sqrt(68) + 1)**2).\nAnswer: 12*sqrt(17) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + y - 2 = 0, -2*s + 5*y = -151 + 161 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.74414 rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 27*p - 36. Let g(f) = -1. Suppose 13*h - 5*y = 9*h + 139, 4 = 4*y. Determine h*g(s) - o(s).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/19? (a) -0.2 (b) -4 (c) -499.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2334*r**2 + 10003*r**2 + 10285*r**2.\nAnswer: 17954*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 304\/(-20)*(-15)\/6. Suppose -13*b + u + 53 = 0. Solve b*a + 10 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2 - 4 + 2 - 4*m**2. Let u(a) = -a + 1. Let l(z) = -2*z + 3. Let w(b) = -l(b) + 3*u(b). Give w(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 30 = -4*d. Let l be (-2)\/d + (-2136)\/(-60). Find the second derivative of -17*z + 15*z + l*z**2 + 0*z + 31 wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 - 4 + 2*c**3 + 3*c - 4*c**2 - 2*c. Calculate s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 12 - 20)*(-f**2 + 5*f**2 - 3*f**2).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p + 234 = -106. Let g(b) be the second derivative of -7*b + 1\/3*b**4 + 1\/5*b**p - 8*b**2 + 0 - 8\/3*b**3. Factor g(o).\nAnswer: 4*(o - 2)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/18)\/((-2)\/8). Suppose -2 - i = 2*x. Let f(c) = c**2 - 3*c - 3. Give f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 + 11*s + 45. Let n(i) = 4*i**3 + 16*i**2 + 47*i + 180. Let j(d) = 2*n(d) - 9*t(d). Determine j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088\/(-952) + (-44)\/(-42)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5614 - -5294.1. Let t = p + 320. Which is the closest to -10? (a) -5 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4194 and 22771323.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*u + 2 = 0, x - 16 = 3*u + 3. Solve 3*m = 6, -2*t + 5*m - 24 = -x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108.53 from -74.3737107.\nAnswer: -182.9037107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 24. Let r be i(-4). Let n be 4\/r + (0 - (-17)\/4). Suppose -7*p = -n*p - 168. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-2) - 1)\/((-252)\/(-48)). Suppose -6\/7*i**4 + 0*i + 0 - 2\/7*i**2 - s*i**5 - 6\/7*i**3 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)*((l*l**(1\/9))\/l)\/l)**(38\/5)*l*(l\/(l**(-1\/3)*l))\/l*l*l*l*l**(-2\/11)*l*l*(((l**7\/l)\/l)\/l*l)\/(l\/(l\/(l**(-2\/9)*l))) assuming l is positive.\nAnswer: l**(-3618\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 21*r**2 + 12*r - 13. Let u be z(10). Suppose -3*f = u*f - 220. What is the highest common divisor of 88 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 860928 or 861284?\nAnswer: 861284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5510235651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -19. Suppose -4*c = 2*y + 38, -y = -o*y + 5*c - 56. What is the common denominator of 1\/4 + y*(-3)\/8 and 41\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let z be 0\/((2 - 0)\/(-1)). Suppose -i + z*i = -g. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, 5, 0, 4, 182.\nAnswer: -30, 0, 1, 4, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) -1.46103 (b) -4\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zui when three letters picked without replacement from zxaaixaxxzaixxu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147408 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -73 + (31 - (9 - 14)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-32)*4\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.58 - 27.02. Let u = -35.2 - w. Is u greater than or equal to 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 28, -894, 208 in decreasing order.\nAnswer: 208, 28, 4, 1, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79*a**4 - a - 63 wrt a.\nAnswer: 316*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-8)\/60*-6 - (-188)\/(-44)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.5. Let t = 2709\/11 + -245. Let m = t - 67\/44. Which is the closest to m? (a) -5 (b) 3\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 61\/(-15) + -15 + (-8362)\/(-555)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnln. Give prob of sequence ln.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + v. Let t = -126 - -127. Let m(l) = -5*l**3 - 6*l**2 - 4*l. Calculate t*m(n) + 6*a(n).\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a - 1. Let h be 27\/18*a\/9. Sort -4, h, 4 in decreasing order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208296 divided by 2104?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49416, 49415, 49414, 49413?\n\"Answer: -x + 49417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 5:20 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 5 + d - 19 - 9 in the form x + h*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2713*v + 4500 = 2723*v. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 3\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/78678 and 59\/21432?\nAnswer: 5979528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1960 = 37*f - f + 62*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 522995.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 11*g = 55. What is the biggest value in -2\/15, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256804?\nAnswer: 2, 19, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(98) - ((2 + sqrt(98))*2 + sqrt(98) - sqrt(98)))**2.\nAnswer: 784*sqrt(2) + 19224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {y: 7, p: 1, u: 7, s: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or 1481?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:21 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/19)\/r**4*r**(-5\/7)*r**(-2\/3) assuming r is positive.\nAnswer: r**(-2021\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/5 - 604*x\/5 + 91204\/5 = 0. Calculate x.\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2.74.\nAnswer: 0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*((6\/(-4))\/((-27)\/(-9)))\/((-21)\/(-28)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:20 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 7*n - 6. Let w be d(8). Suppose y - w*y + 199 = -5*o, 3*y = -5*o + 617. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -330301022?\nAnswer: -330301102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.880414 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, r: 2, q: 5, y: 1, w: 1}. Give prob of picking 2 r and 2 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -7, 17.\nAnswer: -7, -5, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 26271931 to the nearest one hundred thousand.\nAnswer: 26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 6. Let n = -7 - i. Let h = 0 - -0.2. Is n <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + z - 3*z)*(0*z - z - z) + 4*z**2 - z**2 - 4*z**2 + (3 + z**2 - 3)*(-1 + 2 + 1) - 27*z**2 + 142*z**2 - 23*z**2 - z**2 - 3*z**2 + 2*z**2.\nAnswer: 73*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f - 1. Let b(q) = 1. Let v(r) = 24*r. Let d(h) = -3*b(h) - v(h). Let l(z) = -2*d(z) + 7*m(z). Give l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 2*n - 3. List the prime factors of a(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-8)\/m)*m*m**(-1\/3))**(-41) assuming m is positive.\nAnswer: m**(-1312\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6396338*a**2*x**3 - 4*a*x**3 + 4*a + x**3 + 425*x + 3 wrt a.\nAnswer: -12792676*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23375 - 20446. Calculate the remainder when m is divided by 974.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157 and 817343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763492791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + 1)**2*3.\nAnswer: -48 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40444753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1164 - 1177. Let z = 0.7 - 0.8. Let h = -2\/25 - 8\/25. Which is the smallest value? (a) o (b) z (c) h (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w + w)*(0 + 1 - 2)*(-58*w**3 + 114 + 4*w - 116 - 6*w).\nAnswer: -58*w**4 - 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1130*q + 372. Calculate the remainder when u(-1) is divided by 138.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 877035 and 1770.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.63871 and -561.\nAnswer: -919.31631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2) + 1 - -1. Suppose -3*u = -b*u - 2. Suppose 2*y - 2*f + u = 3*y, 10 = 3*y + 4*f. What is the remainder when 10 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 537 times -0.5761\nAnswer: -309.3657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, -49, -86, -141, -220, -329, -474?\n\"Answer: -f**3 - 18*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452601, 452601, 452613, 452643, 452697, 452781?\nAnswer: 452901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12\/25 of a millennium?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 - 0.11. What is the second smallest value in -6, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 210. Let m = 1109672 + -1109518. What is the highest common divisor of m and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 + 3*p**2 - p - 3. Suppose 3*v - 2*v - 2 = 0. Let z(o) = o**3 - o**2. Let l(u) = v*z(u) + s(u). What are the prime factors of l(2)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Suppose -2 = -k - 8. Let i be f(k). Suppose 4*h = -3 - i. Let c(y) = y + 1. Determine c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26571 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 0 + -621 + 595?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15)\/(5*20\/750).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-86)\/36 - (-1)\/(-2). Let p = 49\/18 + i. Suppose -m + 3*m - 3 = -r, -4*r - 5*m + 6 = 0. Which is greater: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37, -36, -35, -34, -33, -32?\n\"Answer: g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/63 - 228\/42?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x + 3*g - 236 = 2*g, 115*x = 112*x - 2*g + 10 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 19410*a + 2525040.\nAnswer: -5*(a - 4008)*(a + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -234142?\nAnswer: -234140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.246 times -4.98\nAnswer: 16.16508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10969?\nAnswer: 7, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22295.2 - 22295. Which is the closest to -1? (a) -3 (b) -44\/9 (c) o (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-50)\/((c**(-5)*c*c)\/c*(c\/(c\/(c**(-1\/3)\/c)))\/c))\/(((c*c**(-2\/13)\/c)\/(c\/(c*c**(3\/4))))\/(c\/(c\/(c*c**(1\/5)\/c))*c**(-2\/5))) assuming c is positive.\nAnswer: c**(-34681\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 657 = -2*t + 2304, 2*t = 4*i + 1650. Suppose 0 = p - 4*x - 43, -261 = -4*p - 5*x + 16. What is the greatest common divisor of p and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -352. Let p = 12 - 20. Let s = -11 - p. Do k and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u - 30. Let y be w(-5). Suppose -y*h + 471 = -17*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 582889840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5511 - 4950. What is the remainder when k is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 14*j + 102*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3\/3 - 2*p**2 + 3*p + 9. Let u be h(3). Let r = 0.5 - 0.8. Which is the closest to r? (a) u (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(3*(sqrt(3) + (sqrt(3) - (sqrt(3) + sqrt(108))))))\/((2*sqrt(80))\/sqrt(8)*-5) + 2)**2.\nAnswer: 2*sqrt(5)\/75 + 18001\/4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040448637 to six dps.\nAnswer: 0.004045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let c(p) = p**3 + 12*p**2 - p - 10. Let v be c(-12). Let s(a) be the second derivative of 0*a**3 + 0*a**v - 1\/4*a**4 + a + 0. What is x(s(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17308*h**2 + 35197*h wrt h.\nAnswer: -34616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 139*k**2 + 0*k - 71*k**2 - 70*k**2 + 0*k. Let j(s) = -231*s - 2. Give b(j(p)).\nAnswer: -106722*p**2 - 1848*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.85 + -1.8. Let z = -0.11 - c. Let d = z + 6.16. Is -2\/3 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -11232111?\nAnswer: -11232111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 27.23. Let g = t - -0.13. Let j = g + 5.1. Which is the closest to j? (a) -0.5 (b) -1\/8 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 15 + 37 = 140 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70834529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271083.08 rounded to the nearest one hundred?\nAnswer: 1271100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27879 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -331203371550 and -0.0101.\nAnswer: -331203371550.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3*x**2 + 3*g**2*x**2 + 3*g**2*x + 457*x**2 wrt g.\nAnswer: 6*g**2*x**2 + 6*g*x**2 + 6*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*o + 2*o, o - 1 = 3*f. Sort 4, o, 211 in ascending order.\nAnswer: o, 4, 211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1824 - -1824.1. Which is the closest to 1? (a) 1 (b) 2127 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, -7\/3, -7, -32, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 2, c: 2, u: 7, g: 2, r: 1}. What is prob of picking 1 b, 2 u, and 1 r?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -16*f**2 + 14*f - 11. Let n(b) = 8*b**2 - 7*b + 4. Let j(z) = -3*h(z) - 5*n(z). Let q be (-2)\/11 - (-230)\/55. What are the prime factors of j(q)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 5 - 4)*(26*h - 3209 + 3209) - 6*h - 3*h + 0*h + h + 0*h + h)*(h**2 + 2*h**2 - h**2) as s*h + u*h**3 + i*h**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -w - 40. Suppose -52 = p - w*p. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaak when four letters picked without replacement from aaakkaaaak?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Suppose -20*w + 19*w + 14 = -2*s, -8*w + 3*s = -47. What is the highest common divisor of u and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - z**3 + 2*z**3 + 8*z**2 + 6 + 0*z**3. Suppose -8*q = -2*q + 54. Let b be n(q). What is the second smallest value in b, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -8\/527441271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -130, -263, -520, -901, -1406, -2035?\n\"Answer: -62*n**2 + 53*n - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*x**3 + 23976*x - 69984 - 435\/2*x**2.\nAnswer: (x - 216)**2*(x - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**3 - 6*s**2 + 4*s + 23. Let d(t) = -t**3 - t + 1. Let u(h) = 6*d(h) - x(h). Let w be u(-7). Solve -7*n + w - 11 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 119*i**4\/24 - 8*i**3\/3 - 22*i**2 + 2. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**3 + 5*c**2 + 9*c**2 - 1 - 77*c**3.\nAnswer: -56*c**3 + 14*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.443*-0.1075.\nAnswer: -0.1551225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23022 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 7 = 36*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s + 22. Calculate the smallest common multiple of 10 and o(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/167 or -0.1?\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(19\/2))**(-41)\/(d**(1\/10)*d**(3\/19)) assuming d is positive.\nAnswer: d**(-37027\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - b - 12*b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 44. Let x be u(22). Let c be (-1040)\/32*(-4 + x). Suppose -r + 5*f + 96 = 0, -2*r + 34 + c = 4*f. What are the prime factors of r?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-4 - 3*(-2 + sqrt(2)) - (3 + sqrt(16)\/sqrt(200))) + 1.\nAnswer: -96*sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(234)*-6 + sqrt(182)\/sqrt(28))\/(6*3*(sqrt(2)*-1 - sqrt(2))).\nAnswer: -35*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/70 + 38\/437 + (-54)\/92 and (2\/(-140))\/((-2)\/(-124))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -272.\nAnswer: -5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 + -2079385212\nAnswer: -2079385211.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 673 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s + 5113 + 3*s - 230528*s**2 + 141*s**5 + 230548*s**2 wrt s.\nAnswer: 2820*s**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 422121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 3*a**2 - 1. Let l be u(-2). Suppose l*h = 47 + 40. Suppose 2 - h = -3*b. Calculate the remainder when 15 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from hhhhyyyo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let x be -3 + (0 + -5692)\/(-4). Let c(s) = 45*s + 1420 - x. Give c(b(f)).\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306 = 31*x + 159 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 8709 in descending order.\nAnswer: 8709, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*d = 8, 29 = -5*d + 9. Let g(o) be the first derivative of 0*o**2 + 2 + 1\/4*o**4 + 0*o**n - 2*o. What is the derivative of g(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 2149122*w**3 + 2149125*w**2.\nAnswer: -3*w**2*(w - 716375)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(6\/(-4) + 2). Suppose m = c - 2, 2*c + 0*c = m. Does 7 divide (4 + c)*(7 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3079 - 3730 = -21*w. Solve -12 + 12 = -w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12351 + 14108. Is i less than or equal to 1757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47840481*q - 115759661?\nAnswer: 47840481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*l + 13*l**3 + 127*l + (4*l**3 - 2*l**3 + 0*l**3)*(-4 + 0 + 3) + (-1 + 0 + 10)*(3*l - 3*l - 2*l**3).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 2\/75 (c) -207 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 8. Let l be (-201)\/(-6) + (-4)\/y. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x + 2. Let c be r(-1). Let z(a) = 3*a**2 + 14*a + 1. Let v be z(c). Let q = 151 + v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119031 and 9504.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 8*s - 107. What are the prime factors of s?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3521, 14089, 31707, 56375, 88093?\n\"Answer: 3525*z**2 - 7*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-42)*(-40)\/1. Suppose -16 = o*c - 22*c. Solve 0 = -2*k - c + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*5\/405*9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/1339 + -1099331\/5356. Let j = r - -205. What is the nearest to 0 in 3.1, -0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1085, -8638, -29133, -69038, -134821, -232950?\nAnswer: -369893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 34397561.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12452491820 rounded to the nearest 1000000?\nAnswer: -12452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.01, -2\/7, 1, -1\/2, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**3\/6 - 2*u. Let z(l) be the third derivative of -7*l**4\/24 + l**3\/6 - 4*l**2. Give 6*w(g) + z(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95\/364 - 3\/28. Which is the closest to -2? (a) q (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 + j**4\/2 - 7*j**3\/6 + 5*j**2\/2 + 26*j. Let z be i(-7). Solve 2*w - 3*t = -3*w - 1, 4*w + z = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 9*p - 1. Let n(u) = -113377*u - u**2 + 1 - 1 + 113373*u. Give 3*l(y) + 7*n(y).\nAnswer: -y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.12276 decades to centuries.\nAnswer: 2.612276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/11 + 18*n\/11 - 4 = 0. Calculate n.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27075 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -390993 + -285037?\nAnswer: -676030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 3, l: 8, m: 2, r: 4, n: 2}. What is prob of sequence nlr?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 4*r**2 - 4*r - 5. Let k be h(5). Suppose -5*d - 20 = -k*d. Let i be (-526)\/(-5) + d\/20. Calculate the highest common divisor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let d be (-31)\/2 - 6\/4. Let y = 14 + d. What is m(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 11, f: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20445 and 8126.\nAnswer: 166136070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -921 (base 12) to base 10.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:32 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15196, 60418, 135778, 241270, 376888, 542626, 738478?\nAnswer: 964438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0440838832 rounded to 5 decimal places?\nAnswer: -0.04408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0336 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/7)*n*n)\/n**(2\/15) assuming n is positive.\nAnswer: n**(391\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g - 49*g + 2952 = 0. Calculate the greatest common factor of g and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -122, -4, -11 in increasing order.\nAnswer: -122, -11, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15 and 0.089147?\nAnswer: 14.910853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 30*o - 84 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 11*t**2 + 25*t - 9. Suppose -48 + 191 = -11*w. Calculate the lowest common multiple of 38 and u(w).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0161428492 to four dps.\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -124*u + 264*u - 110*u. Let n(f) be the second derivative of f**4\/12 - 68*f. Determine n(a(j)).\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -407*b - 45*b + 138*b to the form w*b + k and give w.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 2*i - 7. Let v(d) be the third derivative of d**5\/20 - d**4\/12 + d**3 + 17*d**2 + 2. What is 6*n(b) + 7*v(b)?\nAnswer: -3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 106 - 26 = 0. Calculate the lowest common multiple of 10 and 40\/6 - (-22)\/a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40\/11, -3, -4\/57, 0.3?\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1)*g)\/g)**(-2\/31)*(g\/((g*g**(2\/3))\/g*g))**45)\/((g\/((g\/g**6)\/g))\/(g\/g**(1\/4)))**23 assuming g is positive.\nAnswer: g**(-21537\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 18*j - 19. Let a be b(14). Let l = 33 - a. Which is bigger: -8\/3 or l?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 80. Let d = q + 86. Sort d, 3, 2, 0.5 in decreasing order.\nAnswer: 3, 2, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3873 - 3880. Sort -1\/5, d, -0.4, 0.0159 in increasing order.\nAnswer: d, -0.4, -1\/5, 0.0159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84751485 to the power of 1\/2, to the nearest integer?\nAnswer: 9206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let x(a) = 9*a + 6*a + 10*a. Determine k(x(i)).\nAnswer: -1250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q - 128*q - 36 + 65*q.\nAnswer: -q - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1197045 and 50?\nAnswer: 11970450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11 + 0*h - h + 26 - 8 - 2*h. Let a(b) = 3*b - 6. Determine -4*a(l) - 3*z(l).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29476 or 0.3?\nAnswer: 29476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2993 is divided by 2978.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1267128 and 58\/1108737.\nAnswer: 8869896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -13461449 equal to -40384348\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13582 = -743*w - 535 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1288\/(-36) + (-6)\/27. Is 22\/99*549\/(-6)*y a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366.2 - 365.7. Which is the nearest to -1? (a) -5 (b) k (c) 0.04 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*l**3*t**3 + l**3*t - 249*l**3 - 15*l**2*t**3 - 2*l*t**2 wrt t?\nAnswer: 72*l**3 - 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12933*q**3 - 2*q**2 - 75893*q?\nAnswer: 77598*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 3679.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-11 + (-40 - -29))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 293238606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 - 1989*n**4\/2 - 27773*n**3\/2 - 117231*n**2\/2 - 166707*n\/2 - 17388 = 0. Calculate n.\nAnswer: -483, -8, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12558312 is divided by 2511659.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 0*f**2 + 5*f**2)*((4 + 0 - 2)*(2 - 4 + 3) - 3 + 3 + 1 + (-88 - 72 + 53)*(0 + 0 - 2)).\nAnswer: 434*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1863 divided by -9\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 8:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from leslsofslleoolp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4, -3, 25\/13, -1\/3, -18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 2. Suppose -a + 6 = -7*p + 6*p, a + 12 = -5*p. Let o be q(p). Suppose -14 - 56 = -o*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348300 divided by -9675.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 5 + 17, -3*k - 5*t = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i - 55361 = -133142. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 556 and 170243308.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15501599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 1, p: 10, f: 1}. Give prob of picking 1 f, 1 y, and 1 d.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42 + 0.52. Let q(g) = 13*g. Let k be q(3). Suppose 5*x = 9 - k. What is the second smallest value in 0, x, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 8*y**2 - 13*y - 7. Let g be z(-5). Suppose 5*n = -6*n + g*n. Put -4, n, -17 in decreasing order.\nAnswer: n, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2566*l - 2412*l = 2299*l + 480282 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - 5) - (2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137664 (base 8) to base 5.\nAnswer: 3032301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.841117 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -24 - -13 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129750 and 945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 188.43?\nAnswer: -753.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v\/(v\/v**(-17)))\/(((v\/v**(-7\/2))\/v)\/v)**(-23) assuming v is positive.\nAnswer: v**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 11. Let j = -0.99999994 - z. What is j rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (0 + 0 + 4). Suppose -u = -4*n - 0*u + 1525, -v*n = 2*u - 770. Is (-15)\/6*n\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16 + 0)\/4 - -2. Let a be (-12)\/9*(-261)\/f. Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1617)\/(-66) + -25)*66.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -60284388*m - 32796161?\nAnswer: -60284388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a**2 - 856*a + 2. Let o be g(-107). Solve 2*n + 3*i - 12 = 8*i, -2*n = o*i + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 + 22*b - 2. Let x be s(-3). What is the lowest common multiple of 1362\/16 - x\/32*1 and 90?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*y. Let n be (-12 - -11)\/(y\/8). What is the third derivative of n*d**5 + 3*d**2 - 15*d**5 + 16*d**5 wrt d?\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26981\/87 + -967\/3. Which is greater: -11 or c?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 9360.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 + 27*h - 27*h + (10 - 6 + 3)*(-2*h**3 + 4*h**3 - 3*h**3) - 2*h**3 + 0*h**3 + 0*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/260832 and -119\/384?\nAnswer: 1043328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2\/131?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*m + 268954 = 265588 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s**5 - 8 - 8*s - 46*s**3 - 18*s**2 - 3*s**5 + 76*s**2 + 0 - 10*s**4 = 0. What is s?\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*z - 112 = 106*z. Suppose 1 = 3*c - 5. Does z = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 + v**2 - 3*v. Let l be s(0). What is the first derivative of d**4 + 0*d**4 + l*d**4 - 1 wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -1, -9, -5, -51, 2 in decreasing order.\nAnswer: 2, -1, -5, -9, -31, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10985 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 0 - (-113 + 108)) + (4 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/3 + 1\/3. Suppose 5*k + 1 - 8 = q, -2 = -q - 4*k. Let b be (i\/(-4))\/(q\/8). Solve -u = b*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 673209 and 3?\nAnswer: 673209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h - 2. Let t be p(1). Suppose -t*j + 9*j = -384. What is the greatest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/24 + 3*h**3\/2 + 2*h**2. Let z = -601 + 617. Suppose 9*w - 4*w = 10, 2*s = -3*w + z. Calculate m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 4, 178, -23 in descending order.\nAnswer: 178, 4, 2, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -748 - -3349. What is the greatest common factor of n and 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -12*x + 1. Calculate u(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -30. Let r = c + -9. Calculate the lowest common multiple of r and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8542737 millilitres to litres.\nAnswer: 0.0008542737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20348, -40339, -60332, -80327?\n\"Answer: -f**2 - 19988*f - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3494769647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-15)\/5)*-2. Suppose 0 = a + 5*w - 39 - 9, a - y*w = 69. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Let m(g) = 6*g**2 - 2*g - 5. List the prime factors of m(x).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23431 not equal to 23352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 46*u - 42*u + 1826, u + 911 = r. What are the prime factors of r?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 560.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/738 - 2021\/6273. Calculate the common denominator of i and 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 20714*y + 622320.\nAnswer: -(y - 20744)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2672*a + 10519*a - 237438 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (45\/2820*-47)\/((-3)\/(-256))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Is i\/(111\/55 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(-1\/14)\/(m**(2\/3)*m**(-5\/4)) assuming m is positive.\nAnswer: m**(95\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 0.8, 5, 96, 2 in descending order.\nAnswer: 96, 5, 2, 0.8, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -1717, -4731, -10575, -20191, -34521, -54507, -81091?\nAnswer: -115215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:13 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 163*t**2. Let z be 4*(-5 - (-245)\/20). Let a(d) = -z*d**2 - 28*d**2 + 53*d**2. Calculate h(a(s)).\nAnswer: 2608*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - 12\/(-30). Suppose c = -h*c - 3*j + 2, -4*c = 5*j - 29. Solve -4*d + 0 = 5*q - 2, 3*d - c = q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531956846.\nAnswer: 2, 265978423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-7) + 8\/(-7). Let i = p - -1. Suppose 3*b + b + 3*m - 21988 = i, -b + 5504 = -m. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caccxcxxsxatstsxct. Give prob of sequence txcc.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8136)\/(-904))\/(-1*6\/10)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 7) to base 15\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((4\/10)\/(-1*10\/25)). What is j in -338\/5 + 52\/5*j - 2\/5*j**i = 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 81. Suppose 4*h = 5*l + 26, j + 3 = 2*l. Solve h = -3*d - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -101. Is -12 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*j = 0, 70*j = 3*p + 73*j + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 4 (c) 0.002 (d) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117161 and 36021682?\nAnswer: 396238502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 8c2b?\nAnswer: 8c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 7) in base 11?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-60))\/(0 + 2\/(-30)). What is the third biggest value in r, -3\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/57*(-30)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 37 = -9. Suppose l + l - 12 = 2*a, -a + 18 = 5*l. Calculate the least common multiple of l and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177216.\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21271 is divided by 1256?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, 7 in decreasing order.\nAnswer: 18, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*f + 3*m, f + f = 2*m + 18. Let k = 44.955 + -45. Let z = k - 0.155. What is the nearest to z in 1, -4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -6080072.\nAnswer: -6080071.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.4539 litres in millilitres?\nAnswer: 91453.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 12 + 288. Let g(p) = 20*p**2. Let z(n) = -n**3 + 3*n**2 + 4*n - 1. Let d be z(4). Let b be g(d). Calculate the highest common factor of b and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) 1\/61 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, -3, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2 and -3 + -17 + (-972575)\/(-48500)?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-7 - -5)) + (-2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let b = 2 + 9. What is the remainder when 21 - p\/(-1) - 2 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 4, -8, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 183 = -4*i. Let u = 105 + i. Suppose q = 2*q - 11. What is the highest common factor of u and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 5*b + 338. Calculate x(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -19. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 - (112\/22 + -2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -297637672.\nAnswer: 297637674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101617, 101621, 101625?\n\"Answer: 4*x + 101613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81b9 (base 14) in base 13?\nAnswer: -a203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by 2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1103837 centimeters in meters?\nAnswer: 0.001103837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 48, 146, 334, 642, 1100, 1738, 2586?\n\"Answer: 5*z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4) + 5\/10. Let m = l - -8. Calculate the remainder when 23 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, m: 1, t: 1, l: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*t + 55*t - 61*t)*(5 + 1 - 2)*(-2 - 7 + 4)*(3 - 2 - 5)*(4 - 4 - t) to the form z*t**2 + p + i*t and give z.\nAnswer: 5120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1 + 17*q**2 + 3 - 5*q - 15*q**2 + 2*q. Let f be o(2). Suppose 5*s = k + 17, -2*s - k = -0*s - f. Solve 5*g - j + 2 = 4*g, -2*j = s*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 2480 = -21*n. What are the prime factors of n?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - 124\/6. List the prime factors of c\/(-3)*(-54)\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l**2*s**2 + 47*l*s**2 - 159*l - 1425*s**2 - 75*s with respect to l.\nAnswer: -18*l*s**2 + 47*s**2 - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. Suppose l*h = h - 2*d, 5 = 3*h - d. Suppose -4*n - 2*m + 278 = 0, -h*n - 3*n + m + 351 = 0. What is the highest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241434114 (base 5) in base 9?\nAnswer: 2103204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-201*t**3 + 647*t**3 + 720*t**3)*(-4 - 3 - 17) to the form l*t + p + n*t**3 + x*t**2 and give n.\nAnswer: -27984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 104*m**2 - 205*m - 676. Give n(-50).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14*-5*(-88)\/2310\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3562 + 1563719\/439. Let h = 15793\/4829 + d. Find the common denominator of -39\/5 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/5)\/(11\/770)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:42 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*j**3 - 21*j**3 + 69*j**3 + (-j**2 + j**2 + j**2)*(2*j + 0*j + 0*j) - 7*j**3 + 2*j**3 - 4*j**3 + j - j + 2*j**3)*(2 - 2 + 2*j).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/84 and 151\/66?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1509, 1506, 1495, 1470, 1425, 1354, 1251?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*f**2 - f - 3*f + 108 + 14*f**2 + 2*f - 10*f**2 to x*f**2 + g + q*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 51 = 16*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137, -29, 269, 853, 1819, 3263?\n\"Answer: 16*f**3 - f**2 - f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n**2 + 2*n - 1. Let t be v(2). Let m be -1*3*(-2)\/t. Let y(z) = -3 + 1 + 4*z - 2*z**2 + 0*z. Calculate y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Let v(x) = -128252*x. What is t(v(b))?\nAnswer: -256504*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -3. Is 2\/7 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 9933462?\nAnswer: 49667310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23538 - 23543. Let j = 1231\/11 + -112. Which is the smallest value? (a) n (b) 2\/11 (c) -0.2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {e: 1, y: 1, s: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 3 in ascending order.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33871377 - -2?\nAnswer: 33871379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 5. Let s be w(0). Let m be (-3)\/(-7) - (125\/(-35) + 1). Suppose 11*n = -m*n. Put n, -3, s, 4 in decreasing order.\nAnswer: s, 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*q + 1, 5*c - 40 = 2*q - 7*q. Let t = c - -1. Is (18 + t)\/(4\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -11 - -10 - (-1 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14eac (base 16) to base 11\nAnswer: 59408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41406 is divided by 20539?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185512.\nAnswer: 2, 23189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + 3*o)*(0 + 0 + 4)*(-16*o - 36 + 36 + 379*o).\nAnswer: 1452*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + s - 2. Give a(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 3325?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/4, 18 in decreasing order.\nAnswer: 18, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + u)*((4*u**3 - 4*u**3 - 3*u**3)*(-3*u + u + 3*u) - 3*u**4 + u**4 + u**4)*(1 + 0 - 2).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 15*y - 12*y**2 + 13*y + 12*y**2 - 5 in the form w*y**3 + i + g*y**4 + k*y + n*y**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60985888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.4 + 30.1. What is the fourth smallest value in s, 3, -2\/17, -0.18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2 - -5 - 178\/60). Solve -5*k - u = 5*v, -v - 2*k - 22 = 3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -18)*12 - (-53 - -7).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5374 + 8182. Suppose -27*w - t = -33*w. What is the highest common divisor of w and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315980.\nAnswer: 2, 5, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**2 + 4*n**2 + n**2)*(2*n - 2*n - n) + (-4*n**3 + 0*n**3 + 5*n**3)*(2 + 3 - 7) to the form s + g*n + v*n**3 + j*n**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*t + 254 - 18 = 0, 2*t + 262 = 5*m. Calculate the remainder when m is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*s + 60*s - 23 - 7 + 64*s to the form y + g*s and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 11*l. Solve -t = -5*y + 2, 4*y + t - 7 = -l*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(18\/(-24))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3 (c) 7 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 + 244. Suppose 2681 = g*t - 0*r - 3*r, -3*t - r = -4049. What are the prime factors of t?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -499, -423\/5, -8 in decreasing order.\nAnswer: -8, -423\/5, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69955472 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0427 and 1.\nAnswer: 0.0427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 41 + (38 + 304 - 376).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**2 + 3*w - 9. Suppose -2*d + 9 = -5*z, 3*d - 4*z - 2 = -8*z. Let s be c(d). Let t = s + -27. Solve -3*n - 2*o = 0, 4*n = -o - o - t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3513 is divided by (-8328)\/(-45) + (-355)\/5325?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2 + (-8)\/(-2). Let w(y) = -4*y + d - 8*y + 2 - 3. Let p be w(-9). What is the highest common factor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 325*v - 2281. What is the remainder when 423 is divided by p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1731, -0.19, 1\/3, 4\/9.\nAnswer: -1731, -0.19, 0.1, 1\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -9, 2864, -5, 5, 1 in descending order.\nAnswer: 2864, 5, 4, 2, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -55933 = -35*f - 423. What is the least common multiple of f and 20?\nAnswer: 15860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 29*b**2 + 970*b**2 - 37.\nAnswer: 999*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 6*m + 4. Let p be f(-4). What are the prime factors of (p\/5)\/(-1)*(-99 + -21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-13)\/(1\/1). Suppose 0 = s - r + u - 59, 0 = 3*s + r - 146. Calculate the remainder when s is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*q - 487 - 527 + 143 - 276 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*w)*(4*w - 4*w + 2*w)*(126 - 56 + 97) as h*w**2 + l + z*w and give h.\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 d, 1 g, and 1 o when four letters picked without replacement from {x: 2, s: 2, g: 1, d: 1, o: 1, r: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174660625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*p + 3092, -1279 = -4*p - m + 1798. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114266 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(2\/5)\/t*t)\/t)\/t**(4\/5))\/((t\/(t\/(t*t**9)))\/(t*t**(-1))))**(-2\/13) assuming t is positive.\nAnswer: t**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 13, -2, 39 in increasing order.\nAnswer: -4, -2, 1, 13, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15)\/((-2)\/(-40))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 26 - 47. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46688661 rounded to three decimal places?\nAnswer: 0.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and -29\/682934.\nAnswer: 4097604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 = -5*n - 2*b, 2*n + 4*b = -2*n + 628. List the prime factors of n.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(297)\/(-1*sqrt(11)) - (sqrt(3888) + (sqrt(3888) + sqrt(3888)*1 - sqrt(3888))))\/(sqrt(1296)*-1 - (sqrt(441) + sqrt(441)*-1 + sqrt(441))))*6.\nAnswer: 150*sqrt(3)\/19 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125.748 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44355.97l in millilitres?\nAnswer: 44355970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from ekkeekee.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Solve 3*b + q = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1284, 1535, 1786, 2037, 2288?\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47366 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*x - 38*x + 32. Solve -x + 1 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q + 6. Let z(y) = -3*y + 5*y - 5 - 8*y + 0*y. Give -4*j(v) - 5*z(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*b - 16. Calculate the remainder when (23*(b - -4))\/1 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58\/3*3*(-6 - -7) and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569406 (base 10) in base 3?\nAnswer: 1001221002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -11. Let c = q - 0. Let y = 0.2 + 0.3. What is the nearest to 2\/5 in 4\/7, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7047075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let w(f) = 279533*f**2. Determine h(w(u)).\nAnswer: 156277396178*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3 - 3*h**2 - 2*h - 14. Let c(a) = 6*a**2 - 11*a - 4. What is -4*c(t) + 7*x(t)?\nAnswer: -3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 314503+-9.1\nAnswer: 314493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*g - 36, 4*g - 28*z - 52 = -26*z. Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.187 and -0.8.\nAnswer: -0.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 0 - s**2 + s**3 - 10*s - 1\/12*s**4. Let h be c(5). Put 5, 8, h in decreasing order.\nAnswer: 8, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -0.057, 4, -1, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-3 + 2 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {l: 5, x: 1, w: 3, p: 3, z: 6, v: 1}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13)*-2*-4 + sqrt(13) + sqrt(468) + 1.\nAnswer: 1 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4128 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 13*z + 27. Let o be b(-2). Solve -o*u = -9*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p**2 - 6*p + 18. Let k(j) = 23*j**2 - 11*j + 34. Let q(l) = -11*c(l) + 6*k(l). Let v(d) = -4*d**2 + 5. Give 5*q(r) - 6*v(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2500) - sqrt(2500))\/(1*sqrt(720))*3)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208375133 to the power of 1\/2, to the nearest integer?\nAnswer: 56643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Determine s so that 8 - 5 - 3*s**2 + h*s + 0*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*g + 3*v, -g + 6 = -3*v - 4. Let f = 9 - g. Solve 3*b + 7 = s - 0*s, f*s + 1 = b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 74. What is the first derivative of 5*x**4 - 2 + 0*x**2 - x**4 + j*x**2 - 6*x**4 wrt x?\nAnswer: -8*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -469, -941, -1421, -1909, -2405, -2909, -3421?\n\"Answer: -4*j**2 - 460*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -153. Let v = b + 62. Let f = 405 - 409. Put f, 0, v in descending order.\nAnswer: v, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m + 121 - 121)*(-6 + 1 + 2 + (-2 + 1 - 1)*(0 + 0 - 1) + 0 - 1 + 2 + 5 - 2 - 4 - 3 + 3 - 2) - m + 0*m + 2*m + (4 - 6 + 1)*(m + 4*m - 4*m).\nAnswer: 123*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**4 - 14*z**3 + 5*z**2 + 10*z - 4. Let t(r) = -4*r**4 - 41*r**3 + 15*r**2 + 30*r - 11. Let q(m) = 11*i(m) - 4*t(m). Factor q(x).\nAnswer: 5*x*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10.08 times 65\nAnswer: -655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -73*x**2 - 10*x**2 - 60*x**2 + 27*x**2 + 13*x**2. Let k(w) be the first derivative of 0*w**2 + 1\/3*w**3 + 0*w + 4. Determine k(h(g)).\nAnswer: 10609*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 3*o + 5. Let s be q(-1). Let h be (-16)\/8 - (-10)\/s. Which is the second smallest value? (a) h (b) -2 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 1. Let y be r(4). Suppose -m - 14 - 8 = 3*z, -y*m - 42 = 3*z. Let g be (-4)\/10 + (-124)\/m. Calculate the highest common factor of 84 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000100010 + 10101?\nAnswer: 1001000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32091289 to the power of 1\/2, to the nearest integer?\nAnswer: 5665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 311082\/(-30) - -2*(-7)\/(-35). Let b = 342152\/33 + c. Let t = -3\/3043 - 94288\/45645. What is the common denominator of b and t?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 37 - 103 + 90 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = v - 11, 5*v = 3*v + 3*i + 17. Suppose w + 7 - v = 0. Solve -3 = -t - 1, -f - w = t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 26*b = 654. What are the prime factors of b?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 - f + 22. Let d(a) = -a**3 + 5*a**2 + 5. Give -d(n) - 5*o(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-3))\/(c\/((c*c**(2\/17))\/c*c)*c*c)*((c**1*c)\/c)**(4\/11))\/((c**0)**(2\/23)\/(c**3\/((c\/(c*c*c*c**(3\/2)*c))\/c*c))) assuming c is positive.\nAnswer: c**(4107\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + 83. Suppose -2*f = -0*f - w. Let b be 12\/f + 1\/(-18)*13. Which is greater: -3\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*(-1)\/3*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 4, 4.5, -22, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2*s**2 + 3. Calculate the remainder when 17 is divided by b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + d + 13. Let u be f(4). Let b = -20 - u. Put 0, b, 5 in descending order.\nAnswer: 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 11*i + 13. Let c be b(10). Suppose 3*j - 4 + 82 = 5*z, c*z - 42 = -3*j. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819173491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j + 0*j)*(349*j**2 + 34 - 426*j**2 + 100*j**2) - 5*j**4 + 2*j**4 + j**4.\nAnswer: 21*j**4 + 34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347358 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637737 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14484.4 - 14483. Which is the third smallest value? (a) -1\/4 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 8. Let h be a(-9). Suppose -h - 9 = -v. Suppose v = 4*i + 2. Solve i*s = 2 - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 771866 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*6*(-5)\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b**2 - b + 15. Let a be c(0). Solve 2*r = -3*v + 5, v - 4*r + 2*r = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.6 - 27. Suppose 5*t - 30 = 5*z, 0 = -t + 3*z + 10 + 4. Let s be (1 - -3 - t)\/1. Which is the third biggest value? (a) 1\/4 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1283 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/25))\/k**(-18\/13))**19 assuming k is positive.\nAnswer: k**(20406\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -19672?\nAnswer: 19693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.9634 + -40. Round u to three decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 2*n - 4, -2*m = n. Let i = -347 + 346. Let l be (-32)\/32 + (-12)\/(-28). Which is the closest to i? (a) m (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 2*i**3 - 3*i**3 - 2*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669390 bigger than 22669391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/6 + 389*c**4\/6 + 805*c**3 - 11434*c**2\/3 - 200180*c\/3 - 112800 = 0 for c.\nAnswer: -376, -10, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263648869*b + 263648912*b + 3999 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5762 - -5805) + (1 - 85).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 46*n + n - 216. Sort 12, n, -5, 1.\nAnswer: -5, 1, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 0.4 (c) -2\/5 (d) 12.5 (e) 3\/7 (f) 417\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071*-629428.\nAnswer: 44689.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**18)\/g**(2\/11) assuming g is positive.\nAnswer: g**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - 11*q - 55. What is h(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d - 30. Let v be x(0). Let j be (-6)\/2*v\/3. Suppose -3*b = -j - 39. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdjgdddjd. Give prob of sequence jgd.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10962 = 9*f - 0*f. Suppose 5*z + 2*m = f, 0*z - m - 733 = -3*z. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315122 is divided by 3315087.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 1247930*y.\nAnswer: 1247930*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let k be o(0). Let a be 1\/(3 + (-2 - k)). Let b be -1 + a - 4 - -10. What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhhhhhehhhehhhh.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202807701 and 90913797.\nAnswer: 2636500113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-1.063.\nAnswer: 53.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 157908 + 0.06723116\nAnswer: 157908.06723116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 2*y - 4*y**3 + 34*y**2 - 29*y**2. Let l(v) = 5*v**3 - 6*v**2. Calculate 6*a(b) + 5*l(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*i + 34. Let u = -6.655 - -4.655. Let r = -0.3 - 0.7. Which is the closest to 0.1? (a) u (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c**2 + 255*c - 1642. Calculate h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (13 + -19 - (28 - -107))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**3 - s**2 + 4*s + 1. What is the hundreds digit of u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68\/7 - 678\/77. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 172 (c) -3.1 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 857*t**6\/3 + t**4\/2 + 2798*t**3\/3 - 2469. Find the third derivative of n(v) wrt v.\nAnswer: 102840*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136374 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + 14*j - 10. Let g be w(-7). Let q = g + -37. Let h(o) = 11*o**2 + 5*o - 7. What are the prime factors of h(q)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + (3 - 1792\/120). Which is smaller: o or -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 571106 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = 0, h - 3*m - 5 = -2*m. Let c = 93 - h. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4419, -19500, -47943, -92454, -155739, -240504?\n\"Answer: -451*h**3 - 3975*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14419 - 129775\/9. Sort v, 0.2, -3\/26, 0, -1\/6 in decreasing order.\nAnswer: 0.2, 0, -3\/26, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmz. Give prob of picking 1 m and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68628 divided by 14.\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 + 35. Let d(g) = -1 + 1 + 28*g - u*g. Let x(v) = -v + 1. Let h(b) = b**2 - 3*b + 3. Let p(i) = 2*h(i) - 6*x(i). What is p(d(c))?\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1564 + 1.21. Let f = h - 0.05360442. What is f rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 - 0.045. Let u = j - -0.153. Let t = u + 0.14. Round t to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233.3065 at least -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 5200*c + 2406576.\nAnswer: -4*(c - 1662)*(c + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19 + -25 - (1 + 0). Let n(s) = s**3 + 6*s**2 - 6*s + 2. Let r be n(o). Let j(p) = -2*p + 7. Calculate j(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 94*i = 186*i + 147 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 7*p - 15. Let u be t(9). Solve -8*r + u*r = -20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 4*l**2 - l**2 + 1)*(25*l**3 - 12*l**3 + 59*l**3).\nAnswer: 216*l**5 - 72*l**4 + 72*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 + 3. Let j be t(7). Let g be (0 + j)\/(-15)*-54. Let h = -811\/70 + g. What is the common denominator of h and 125\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 602.\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 0 - (24 + -32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14605 != -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 151578*t = 151581*t - 5, t = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 9:58 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 468 - 438. Let k = 8 - 4. Suppose 3*w + 12 = k*w. Calculate the lowest common multiple of w and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12228 and 109\/690084.\nAnswer: 703195596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190704 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, d: 5}. Give prob of picking 3 d.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 17, 55, 99, 143, 181?\n\"Answer: -p**3 + 12*p**2 - 3*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 20*q**2 + 1280*q - 6400.\nAnswer: -5*(q - 8)**2*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*6*4\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 2\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62456985 + 614932.\nAnswer: -61842053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 378266 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9516 times -3928\nAnswer: 37378848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 3. Let o(j) = -2*j + 1. Let c = -22 + 17. Give c*o(p) - 2*u(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*r - 167. Let b = 105 + r. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -460*a + 408. Let r = 394 - 530. Let h(m) = 20*m - 18. Let t(q) = r*h(q) - 6*f(q). Let b(d) be the first derivative of -d**2 + 1. What is b(t(j))?\nAnswer: -80*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a day in minutes?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 + 0*i**3 + 103*i**2 + 0*i - 1\/12*i**4. Let u(q) = 0 + 13*q + 0. Calculate u(y(k)).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 9*h - 3. Let q be p(-8). What is the remainder when 16 is divided by (-97)\/q - 6\/(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3))\/(-1))\/(8000\/13500)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816 is divided by 407.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -60 + 64 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.004\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 minus 305.95?\nAnswer: -522.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/5)\/(t\/t**(2\/5))*(t**(2\/5))**(-6\/13)*(t*t**0*t)**17*t**(-2)\/(t*t**(-1\/5)*t) assuming t is positive.\nAnswer: t**(1899\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 5*m + 0*m + (2*m + 0*m - 4*m)*(2 - 6 + 3).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49400 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.1, -1\/11, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2346 + 2344. What is the closest to 1\/4 in x, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(99))**2 + sqrt(11) + sqrt(88)\/(sqrt(24)\/sqrt(3)))*-4.\nAnswer: -412 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(1088)*2)*4)**2 + -4 - (4*(4 + (sqrt(1088)*-2 - sqrt(1088)) - (sqrt(1088) + (2*sqrt(1088) + -3 - sqrt(1088)))))**2) + -1.\nAnswer: -365957 + 11520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/1791 and 20\/15639.\nAnswer: 9336483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 7. Suppose c - 4*c = 15. Let a be d(c). Let x(z) = -37*z + 2. Is x(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22120112222202 (base 3) to base 4.\nAnswer: 101120232011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.624288 millilitres in litres?\nAnswer: 0.008624288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/22 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 8*q - 6. Let y be n(9). Let t = y + 2. What is the biggest value in 0.3, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.2 greater than or equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36))\/(((-25)\/(-90))\/((-80)\/(-168)))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851.\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - 7*m. Let x(u) = -2 - 2*u + 2*u - u + 2*u. Let a be x(-5). Let f(o) = o**3 - 2*o. Give a*f(g) + 2*s(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -7, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2877164 and 73684.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 1, g: 1, d: 2, e: 2}. Give prob of sequence gqe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 4*w + 3. Let f be h(-4). Let g = f + 13. Which is bigger: g or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201274751?\nAnswer: 83, 2424997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 7. Let z(n) = -5*n - 6. Is z(a) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a10 + 27?\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-42 + 42 - 4*g)*(1 + 2 - 2) - 9*g - 36*g - 10*g)*(2 - 2 + 2*g).\nAnswer: -118*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02901844 + -0.02913. Round g to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5538.2 + -5538. What is the closest to 4 in -0.15, -1\/6, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 102. Let s = q - 21. Let u be 46\/40 - 6\/s*-3. What is the third smallest value in -1\/3, u, 5, 1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eci when three letters picked without replacement from {j: 1, i: 5, e: 3, c: 6, t: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 706496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425612 is divided by 6808.\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-73 + 22 - -101)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/14 + (-90)\/(-21) + -4. Let v(f) = -2*f - 21. Let t be v(-15). What is the greatest common factor of y and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 3*m**5\/20 - 28*m**4 - 2*m**3 + 672*m**2 + 6160*m + 1. Find p such that i(p) = 0.\nAnswer: -2, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -0. Suppose i*t + 59 = m + 4*m, -3*m + 29 = -5*t. Let l = -3 + m. Calculate the smallest common multiple of l and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5570 + 5572. Solve -a - 14 = -5*b, 60*b - 63*b + f = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 248, 3, 56 in descending order.\nAnswer: 248, 56, 34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**5 - 167025*b**4 + 1440771210*b**3 - 766729083530*b**2 + 105739687420785*b - 104974398941445 = 0 for b.\nAnswer: 1, 279, 16423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000052749619 to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -211432102 less than 23?\nAnswer: 211432125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94956240*c**2 + 11858690*c + 3.\nAnswer: -189912480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58.4477005 + 0.066951.\nAnswer: -58.3807495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 164 + 75 + 13*t + 91. Give u(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - m**3 + 0 + (-2*m + 0*m + 6*m)*(-177*m + 69*m - 47*m + (-6*m + 3*m + 2*m)*(-1 + 1 - 1))*(-m + 0*m + 2*m) as f*m**3 + a*m**2 + q*m + p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**2\/13 + 18990256*d\/13 + 12660168\/13 = 0.\nAnswer: -3165042, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -106599000 to the nearest one hundred thousand.\nAnswer: -106600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/57885 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 2:40 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -397*(-504)\/52 - (-40)\/260?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638*p = 657*p - 38. What is the greatest common divisor of 358 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 116, 209, 338, 515?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u - 5*h - 40, 5*h = 3*u - 46. Let t be 0 - -185 - u\/3. Let i = t + -109. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*g**4 + 2331*g**3 - 25*g**2 - 19733715*g.\nAnswer: -168*g**2 + 13986*g - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Suppose -5*o - 12 = k, 3*k + 3*o - 2*o = -36. Let x be (-20)\/15 + k\/(-9). Sort x, -5, f in decreasing order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101116 and 170.\nAnswer: 505580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 35*d. What is the tens digit of i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90374617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/9 + 4\/6. Which is the third smallest value? (a) 2\/31 (b) y (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(1\/2))*n)**8*n**(-1\/7)*(n\/n**(-2)*n)\/n*(((n*n**1)\/n)\/((n\/n**(-3\/7)*n*n)\/n*n))**30 assuming n is positive.\nAnswer: n**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 + 3*a**2 - 2 to the form z*a + y*a**2 + j and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 32124*t**3 + t**2 + t + 2. Suppose 5*l = -j + 7 + 9, -3*j + 2*l = 37. Let n = 11 + j. Let v be w(n). Round v to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075954?\nAnswer: 2, 3, 7, 73237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*c - 307, -c + 474 = -3*q + 173. Let b = -97 - q. Is (-40)\/(1\/((-4)\/8*b)) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20 + (344\/(-5))\/8. Put -2, -18, q in decreasing order.\nAnswer: -2, q, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3011457 divided by 1.\nAnswer: 3011457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/390 and 67\/234999?\nAnswer: 30549870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, -0.14 in descending order.\nAnswer: 10, 3, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 16) in base 11?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -149 + 33. Let i = b - 47. Suppose 0 = -i*t + 5*t + 144. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-18))\/((80\/10)\/224).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -19 - (174\/(-870))\/(1\/95). Suppose -2*o + 2*j = j - 56, 2*j = -3*o + 98. Solve v = -17*x + 11*x + o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6 + 10\/3. Suppose -j*z - 6 = 0, 2 = 3*r - z - 1. Suppose r = -4*x - x + 130. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2. Let l(w) = -242328*w. Determine v(l(k)).\nAnswer: 176168578752*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4374 + -4374.0000011308. What is x rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12716 - -12715.8. What is the third biggest value in -7.2, 2\/9, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*a + 14 = -x, -3*x + 5*a = 19. Factor 2*q**2 - 2*q - x*q**2 - q**2 - 2*q**3 - 3*q**2.\nAnswer: -2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {t: 4, o: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, 0.3, -3, -0.5, -10, -1\/14132, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -915 or -916?\nAnswer: -915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -806, -375, 786, 3043, 6762, 12309?\nAnswer: 20050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**7\/126 - v**6\/90 + v**5\/30 - 9*v. Factor n(z).\nAnswer: -z**3*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142 is divided by 1063.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 + 28*y - 415. What are the prime factors of s(26)?\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/9)\/(a\/(a*a\/a**(-4)*a*a))*(a**(-1\/3)*a)\/((a\/(a\/(a*a**(2\/13))))\/a))\/((a*a\/a**(-1\/4))**0*a\/a**(-6)*a**(-3)\/a) assuming a is positive.\nAnswer: a**(476\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 29 = 2*o + 5*w, 4*w = -2*o - 20. Sort -2, 4, o in increasing order.\nAnswer: o, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5\/7 - 2356*j**4\/7 + 4696*j**3\/7 + 8*j**2\/7 - 4700*j\/7 + 2348\/7 = 0.\nAnswer: -1, 1, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -3*s - 6, -4*s + 3*c = 31 - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2371 and -0.0612602365.\nAnswer: -2371.0612602365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjt when three letters picked without replacement from {t: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11132*d - 2058*d + 1345380 for d.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/4))\/u)**34)**45*(u\/(u**(4\/5)\/u))\/((u\/u**(-4\/5))\/u)*(u**2)**27 assuming u is positive.\nAnswer: u**(-3281\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 15*m**2 - 2*m + 117. What is the remainder when t(-14) is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 3)*(0*c**4 + 2*c**4 - c**4 - 3*c).\nAnswer: -7*c**4 + 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from haavthtvahah.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 - k**2 - 3*k**2)*(-13 + 0*k + 12 + 14*k) as p + d*k**3 + f*k**2 + o*k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21679262 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 20 = 6. Suppose 1 - k = -3*n. What is the third derivative of -2*a**n - 32 + 3*a**4 + 32 wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.048 + -67.048. Let p = 67 + d. What is the nearest to p in 21, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260.1085544 + 26\nAnswer: 286.1085544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-1 - 2)\/3). Suppose -2503 = s*k + 5*w, -2*w = -0 - 10. Let h = k - -264. What is h rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*z - z**2 + 13*z - 18*z - 11*z**5 wrt z.\nAnswer: -220*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 38*b**3 - 11*b**2 - b - 2. Let l be r(5). Let x = 1 + -1. Suppose 19*n - 15*n - l = x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 + -273. Solve -h + s = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -3071\/43. Let g = 975\/2021 - m. Is g greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 divided by -3?\nAnswer: 692\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 11*w**2 + 8*w - 80. Let u be t(-13). Let a = -1002 + u. What are the prime factors of a?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 379535 divided by 5\nAnswer: 75907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322469076 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 9 = 12*v + 4*v, 0 = 2*n + 5*v + 189 for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 3*v + 10*v - 24 + 22. Let q(o) = 3*o - 1. Let w be (2 + -5 - -1)*7. Let t(u) = w*q(u) + 4*b(u). What is t(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 417677.8g to milligrams.\nAnswer: 417677800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4688\/502788)\/(3\/99).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -426\/53 + 17639\/2544. Let p be 32\/80 - 10\/84. Let z = -667\/105 + p. What is the common denominator of z and o?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t + z - 22, t = z + 3. Suppose t*f = -0*p + 4*p + 42, -p - 21 = -3*f. Factor 3*u**3 + 5*u**3 - 11*u**3 + f*u**2.\nAnswer: -3*u**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (0 + (-5 - (-9)\/3)). Suppose 0*d - g = -d. Solve d*k - 9 + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q + 4. Let h be i(0). Find the first derivative of f**h - 26 + 21 + 2*f**4 wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) -115 (b) 2\/3 (c) -5 (d) 1 (e) -6\/7 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18100262 is divided by 5371?\nAnswer: 5363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 2*f + 2. Let v be s(2). Is (-1)\/(v\/34)*15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 11*b**2 - 4*b - 16. Suppose 0 = 4*i - j + 22, -4*j = 5*i - j + 36. Let q = -17 - i. What are the prime factors of o(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*z**3 + 2*z + 469*z**3 + 0*z - 4*z - 160*z**3.\nAnswer: 59*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41339251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 7 - (4 - 6). Suppose v*o + 51 - 656 = 0. Round o to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millisecond in microseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -10. Does 21 divide (q - -1)*4 + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7193 + -7189. Which is the biggest value? (a) 221 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/25 - 42211\/85. Which is smaller: i or -499?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-34 + (11 - (8 + -11))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/2 + 15. Let n = -2 - -1. Which is the third biggest value? (a) n (b) -2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -32 + (15\/10)\/(-3*7\/(-98))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183727\/4 < 45933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -280136976?\nAnswer: -280136978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 35 (b) 5 (c) -0.3 (d) -0.009 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + 8*h - 17. Suppose 0*j - l + 22 = -4*j, j + 2*l = -1. Let i be o(j). What is the greatest common factor of 248 and i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(1124\/(-280) - -4). Let a be (63\/j + 2\/(-10))\/(-3). Solve -8\/3*r + a*r**2 + 8\/3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*5\/(-15)*3\/3\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171218519 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 192\/18 + 2\/(-3). Let x(a) = -4 - a - 6 + 1 + i. What is x(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f - 4*r, f + 3*r = 2*r + 3. Let c(a) = -a**2 + 10*a + 1. Let u be c(10). Let k be (6\/8)\/(u\/12). Solve k + f = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k*k**(-2))**49\/((k**1)**(3\/10))**0 assuming k is positive.\nAnswer: k**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01015926374 rounded to six dps?\nAnswer: 0.010159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*t + 130, 4*t + 80 = 5*n - 2*n. Let c = -11 - -13. Let v be 8 + (-2 - 4)\/c. Solve -4*f = d + n, -2*f + 2 = -v*d + 2*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*r - 4 = 2*k, r = 4*k + 20. What is the nearest to -11 in 2, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.60162088 rounded to 2 dps?\nAnswer: -67.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18278 + 18548. What is the remainder when 836 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/10 - 369\/205. Put -0.2, -2\/9, -2, p in descending order.\nAnswer: p, -0.2, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193740 - -1547451\/8. Let c = 309 + m. Calculate the common denominator of -1 - (-98)\/64*-2 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.072 (b) 0.2 (c) -11 (d) 2\/15 (e) 1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84012 (base 11) in base 13?\nAnswer: 43985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5536266 <= -5536286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m - 5*g - 22, 0 = 3*m + 5*g + 76. Let r be m\/(-6)*8\/6. What is the units digit of 14\/6 + (-2)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388580 at least as big as 388994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2412 - 1151 + 3*x + 3142.\nAnswer: 3*x + 4403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 442117.5 litres?\nAnswer: 442117500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2205 and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 10*d**2 - d + 10. Give b(-4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -3.\nAnswer: 178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.59, -0.07, 3, -11, 4?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214839737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5711.81 - -5686. Let v = r + 25.79273. What is v rounded to four dps?\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 247, 0, -1, 31, -5 in decreasing order.\nAnswer: 247, 31, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-32)\/10)*(-23)\/((-575)\/170)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 126. Give m(-29).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3427, 3426, 3425, 3424?\n\"Answer: -j + 3428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*j**4*w**3 - 5*j**3*w**2 + 5*j**2 + 2*j*w**3 + 41*j - 4*w**3 wrt j?\nAnswer: 168*j**2*w**3 - 30*j*w**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (46*3\/6)\/1. What is the highest common factor of 46 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210107, 840138, 1890175, 3360206, 5250219, 7560202, 10290143, 13440030?\nAnswer: 17009851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(1088))*5 - (sqrt(1088) + 1 + 3))**2 + (sqrt(1088)*2 + 2)*-1*-2.\nAnswer: -69632 - 224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3082 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -422.85 + 423. Sort 2, 2\/7, i, 1\/7 in descending order.\nAnswer: 2, 2\/7, i, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times 1.5\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n + 1. Suppose -4*h + 18 = -2*v, -2*v - 2*h + 2 + 4 = 0. Let x(z) = -1. Calculate v*c(l) - 2*x(l).\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11011101010011011111?\nAnswer: 11011101010011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*g - 183, -5*g + 169 + 376 = 3*r. Calculate the lowest common multiple of r and 16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788 - 753 = 7*o. Solve 2 = o*s + 2*q - 2, 4*s - 4*q = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -801 + 861. Let x be 15\/(-18)*6*(-8)\/m. Factor 0*k + 0*k**2 - x*k**3 + 0 - 4\/3*k**5 - 3*k**4.\nAnswer: -k**3*(k + 2)*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -22, -19, -10, 5, 26?\n\"Answer: 3*k**2 - 12*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 314*v - 4019. What is the hundreds digit of u(57)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387 a factor of 113344858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 - -1692\/11. Is v less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182.481 * -0.08\nAnswer: 14.59848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 36. Let d be u(16). Let x(k) be the third derivative of k**6\/120 + k**5\/15 - k**4\/24 + 2*k**3\/3 + k**2. Determine x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1*6\/(-3). Let v(x) = -4*x**2 - 7*x + 7. Let g(w) = 19 + 26 - 2*w - 65 - w**2 - 2 + 24. Calculate t*v(l) + 7*g(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66062?\nAnswer: 2, 17, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:22 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 + 94*f + 211. Let g be k(-13). What is the closest to 0 in g, 5, 0.1618?\nAnswer: 0.1618","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479295390 divided by -20838930\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + 8*5\/(-10). Let n(t) = -11 - z + 97*t + 21. Is n(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 11. Let g be f(-7). Let x be (5 + (-22)\/g)\/((-2)\/184). Calculate the greatest common factor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1204249707 to the nearest integer?\nAnswer: 34702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 29 - 55)*(-o + 3*o**2 - 8*o + 3*o).\nAnswer: -243*o**2 + 486*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 13*v - 3 = 0. Solve -2*s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000131724083 to 7 decimal places.\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let k(c) = -13*c - 14. Let h(d) = k(d) + 4*x(d). Determine h(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8510 + 8515. Solve k*z - 50 = -5*b, 5*b - 20 = -10*z + 11*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -11 - ((21 - (38 + -37)) + -39).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 81. Let n = -45 - x. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 + 156\/9. Let y = 36 - d. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177936 + 177899 - 309*v + 41*v to g + s*v and give s.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 19*t**2 - 25*t - 234. What is q(-14)?\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/11)\/(c\/((c**(-4\/15)\/c*c)\/c)) assuming c is positive.\nAnswer: c**(-329\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17 + 19 + 794\/3 + -2. Is 265 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176095041 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 805946\/421 < 1914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 13 - (-3 + 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k + 5. Let t(p) = 4*p + 3. Let y(c) = -c + 9. Let f be y(4). Calculate f*o(h) - 8*t(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 3*c**3\/2 + 7*c**2\/2 - c. Let r = 191 - 198. Let k(a) = -4*a - 3. What is r*k(l) - 3*o(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j. Let l(w) be the first derivative of -21*w + 5\/6*w**4 - 8 + 0*w**2 + 0*w**3. Let z(t) be the first derivative of l(t). Give z(f(x)).\nAnswer: 90*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 55 = 38*o. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 10 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 259 - 277. Let l = -1 + 5. Sort 1, s, l in descending order.\nAnswer: s, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 7*m - 3*m)*(0 + 0 + m)*(-4 + 4 - 3).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 12\/25 of a second?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843*n + 782*n + 1954*n.\nAnswer: 1893*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + 696?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*m - 4*c, -4*m - m + 3*c = -1. Let v be 0\/m*(20\/8)\/5. Solve 5*j = -v + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = r - 4*d, -3*r - 3*d = -6*r. Let z be 4*(180\/88 + -2). Let m = 19\/44 - z. What is the third biggest value in r, -2\/3, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44146747+347\nAnswer: 44147094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95299967551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 20 + 148 = 52*l. Let m be (2\/6)\/(3\/135). Calculate the remainder when 925\/m + (-2)\/(-6) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*l - 30, 2*l + 27 = -2*u - 5. Calculate the remainder when 27 is divided by (-4)\/2 + (-1 - u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12285 and 2520?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by (33\/(-11) - -6) + (-39)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584052016 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 182. Suppose 9*c + 3*u = 11*c + 100, c = -4*u - 28. List the prime factors of g(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:24 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*l = -0*m + 83, 5*l - 68 = -2*m. Suppose m = 2*t - 27. Differentiate t - 2*y**2 + 23*y**2 - 17 wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 + 454. Let i be (-50)\/84 - (-66)\/m. What is the nearest to -2\/33 in -1, -2, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*p + 1975, -j - 5*p - 454 = -29. Let t = -21 - j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30765356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/2 + b + 17. Let h(j) = -8*j. Calculate k(h(v)).\nAnswer: -384*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 + 992*p**4 + 2000*p**3 + 8*p**2 - 1996*p - 1000 = 0?\nAnswer: -1, 1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2542683, -5085373, -7628063, -10170753, -12713443?\n\"Answer: -2542690*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002201 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*f + 36586 - 36540 = 0, 2*f = 3*q - 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 z, and 1 u when three letters picked without replacement from zuzmzzzrznzdzzrdrzzz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l - 162*l + 5*h + 45 = -86*l, h + 9 = 41*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = a - 57, -4*a + 6*a = 3*k + 79. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44044 (base 9) in base 15?\nAnswer: 89ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 595706641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 101.83 and 3.\nAnswer: 104.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 776998037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 16 = 2*m + 5, 3*l + 3*m - 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257 - 251. Let d(c) = 8*c + z*c**2 - 3*c**2 - 5*c - 2*c**2. Let t(r) = 3*r. Determine t(d(f)).\nAnswer: 3*f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -901, -1186, -1187, -808, 47, 1474?\nAnswer: 3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcld when four letters picked without replacement from {d: 4, l: 6, i: 6, c: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 13. Let n = -34 - j. Sort n, -0.2, -4\/7 in increasing order.\nAnswer: n, -4\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 42*z**2 - 33*z + 10. What is i(-3)?\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492602896 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -4, -10, -16, -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnpnllnppp.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 713*i**3 + 62*i. Let h(w) = -57*w**3 - 5*w. Determine 62*h(b) + 5*z(b).\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2812392 by -1.\nAnswer: -2812392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22638168 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3420611 + 651?\nAnswer: 3421562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 - -1) + 3)\/8. Let h = -9 + -17. Let q = h + 15. Is x bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16108 = -2*j, 19*j - 4*k = 21*j - 16106. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6. Let t(q) = -2*q**2 - 14. Let x(p) = -14*j(p) - 6*t(p). Let r(n) = 2*n. Calculate x(r(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.448*113.4.\nAnswer: -617.8032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15255 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x - 12 = -17*x. Which is the fourth smallest value? (a) x (b) -1 (c) -0.9 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -614 or 10?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 4*g**7\/7 + 4*g**5\/5 - 22*g**3\/3 - g**2\/2 - 130. Find the third derivative of s(p) wrt p.\nAnswer: 480*p**3 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5582803 + -313\nAnswer: 5582490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*-2*(sqrt(500) + 1 + sqrt(500) + sqrt(500))*-5*-1)**2.\nAnswer: 54000*sqrt(5) + 4050900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 + 39 = 0. Let j = -239\/2 + 136. Let k = w - j. Put -2, k, 2\/7 in ascending order.\nAnswer: -2, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025 (base 7) in base 11?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -590e?\nAnswer: -5912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a2 (base 13) to base 12.\nAnswer: 18a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(275) + 0 - (5 + sqrt(44))*1) + -4)**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.11, 0.02, 0, -1304, -3\/10?\nAnswer: -1304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 32. Solve -l = 4*h - p, -21 = -4*h - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50242 (base 7) to base 4.\nAnswer: 2331211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 8. Let d(j) = 9. Calculate 2*a(k) - 3*d(k).\nAnswer: 2*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -12. Suppose 37*p - 372 + 76 = 0. Is 173 + u - p\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = 0, -5*l = 2*m - l - 14. Suppose m + 27 = 4*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*k**5 - 1173*k**4 + 2*k**3 - 255*k**2 - 278*k wrt k.\nAnswer: -600*k**2 - 28152*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -350 + 324 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639891?\nAnswer: 3, 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46789 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.3 (c) -1\/94 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (21 + -12)\/((-3)\/(-6)). Put -2, v, 1, 3, -5 in decreasing order.\nAnswer: v, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 668*n = 677*n - 52, 48*u + 4*n = -1188 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/83 or 0?\nAnswer: -30\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.7117 microseconds to milliseconds.\nAnswer: 0.0087117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/665)\/(105*(-60)\/14700).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 127?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (-3 - 0 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - ((-9 - (13 - (9 + 17))) + -6) - 3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 534561 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*11012\/8 + -3. Suppose 0 = 6*y - x - 4048. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1189*t**4 - 1703*t wrt t.\nAnswer: -14268*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -235, -242, -261, -298, -359, -450?\n\"Answer: -q**3 - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)*(-4)\/2 + 42. Let q(w) = 44 - x + w. Let m be q(5). What is the greatest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168*l + 92*l**3 + 46*l**3 - 71*l**3 + 53*l**3 wrt l.\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*v + 1097*v - 486 = 3286*v - 1081*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/30 - 14*g**3\/45 - 8*g**2\/15 + 32*g\/15 - 2. Factor p(i).\nAnswer: -2*(i - 1)*(i + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:59 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = o + 13, -3*q = o - 17. Suppose -o*z + 22 = -z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 9*v - 6*v + 507*v**2.\nAnswer: 507*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*j + 277160 = -2278*j - 1585*j - 3404*j for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0) + -5 + 11. Let j = d - 2. Let n be (-3)\/2*420\/(-18). Solve 14 = 3*x + j*t + 3, -5*x + 5*t - n = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33390 - 0.18129\nAnswer: -33390.18129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let n(q) = 159*q + 4. Let h(f) = 636*f + 15. Let t(v) = 4*h(v) - 15*n(v). Determine u(t(x)).\nAnswer: 50562*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 12*c - 10 = -j, 5*c - 2*j - 10 = 0. Solve -2*h = 5*g + 5, -c*g + 0*g = 2*h + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5076.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/(-3))\/(4\/(-504)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 146*f - 19. Let q(b) = 48*b - 7. Calculate -8*q(z) + 3*w(z).\nAnswer: 54*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 13. Let f = j - 4. Solve -3*s = -0*s + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -84 (b) 0.5 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651685451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 13009 = -3*i + t, i = -2*t + 3261. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.317 in -0.05, 5, 0.1, 80?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/(((z*z*z**(-3\/20)\/z)\/z)\/z))\/z)\/z**(-15\/7))\/(z**(-8\/9))**(-21\/2))**(2\/73) assuming z is positive.\nAnswer: z**(-29\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7 - -9 - -2) + -5 + 10 + 16.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18669 times 0.11?\nAnswer: -2053.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1401905 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + n + 6. Let p be d(5). Suppose 2*k - 144 + 134 = 0. Suppose -62*m = -p*m - k. Solve 0 = -3*w + m*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 165 - 39. Is (1765 - o)*(0 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 0.5 (c) -634 (d) 3 (e) -2\/3 (f) 0.09 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245.9226ug to nanograms.\nAnswer: 245922.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.123 * 2.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -328.976273082484 + -0.023728407516. Let s = -329 - d. What is s rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggiaigagiy. What is prob of sequence iy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -2*g + 1, -g = -5*m - 26. Let z = 9 + m. Suppose 0 = -8*q + z*q + 28. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 - 629 = -232*o + 676. Let i(u) be the third derivative of 0 + 0*u + 23*u**2 - 5\/24*u**o + 0*u**3. Let n(s) = s**2. What is i(n(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*r - 84 = -4*x + 198*r, 0 = -2*x - 5*r + 47 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11449 + -114381\/10. Suppose -c = s + 12, s + c + 3*c = -3. What is the common denominator of ((-321)\/s)\/(28\/(-10)) and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -446, -1765, -3974, -7079, -11086, -16001, -21830, -28579?\n\"Answer: -b**3 - 439*b**2 + 5*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2. Let t be o(1). Suppose 0 = 6*l - t*l - n, -l = -2*n. Let j(d) = -d. Let c(a) = 4*a + 5. Let q(w) = -c(w) - 3*j(w). What is q(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4511 is divided by 750.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 2*x + 1. Let d(i) = i**3 + 2 + 3*i - 2*i + 2*i**2 - 3*i**2 + 0. Let k be d(0). What is the units digit of r(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 2*c**4 - 4*c**4 - 4*c**4 + c**4 - c**4 + (-5*c**2 + 5*c**2 - c**3)*(0 + 0 - 2*c) + 2*c - 2*c**4 - 2*c.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjjp. Give prob of sequence hjhp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-1 - -1) - (-2300 + 2292).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166376459 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:18 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzlllzlzz. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -21 (c) -5808 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8282888 tonnes in nanograms?\nAnswer: 828288800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -244 + -2?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124161 is divided by 1214?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmpmmppmpm. Give prob of sequence mm.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116\/13099 - -175554770\/222683. Let a = y + -788. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 11:54 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-304)\/(-133) + 9\/(-7) + 1. Let n(h) = 44*h + d*h - h + 15*h. Let t(f) = -5*f. Determine 3*n(q) + 35*t(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28228, 28241, 28254, 28267, 28280?\nAnswer: 28293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 46. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4375074 to 3 decimal places.\nAnswer: 1.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7561 - -30509\/4. Let a = -38 - 29. Let c = k + a. What is the smallest value in -0.1, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) + (-24)\/(-10). Suppose -3*t = q*n - 61 - 9, -3*t + 140 = 4*n. Suppose -4*l = -n - 45. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from pcpppcpcpppppppppppp?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -24. Suppose -m*n - 5 = 5*c, c + c = 6. What is the nearest to -1 in -1\/4, 2\/7, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Let s = 79 - 315\/4. Let h(o) be the second derivative of o + 0*o**3 + 0*o**2 - s*o**4 + 0. Give t(h(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799252?\nAnswer: 2, 199813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -0.46841129.\nAnswer: -5.46841129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-38)*44*4\/(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 4) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 1013, -0.4?\nAnswer: 1013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w. Suppose -1174 + 433 = -19*r. Let q(x) be the first derivative of 3*x**2\/2 + 1. Determine r*q(o) - 6*n(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 31. Let q(b) = 2 + b + 0 - 6. Let y be q(t). What is the greatest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*i + 48 = -707*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -ab4d (base 15) to base 3\nAnswer: -1211210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 - t**2 + 28*t**2 - 2*t**3.\nAnswer: -2*t**3 + 38*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/13 (c) -1 (d) -308 (e) 5\/506\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133628?\nAnswer: 2, 11, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20699 - 16794. Calculate the smallest common multiple of 44 and y.\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 41*q**3 + q**2 - q - 5. Let k be g(5). What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 0.17, 0.3, -2, 2\/21, 0, -2254?\nAnswer: -2254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 6*m + 6. Let o(z) = z - 1. Let b = 41 + -47. Let k be o(b). Let j be n(k). Let q(x) = 2*x**2 - 2*x - 1. What is q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/27*-3*-1. Let n(l) = l**2 + 8*l - 6. Let j(v) = v**2 + 7*v - 6. Let h(s) = -3*j(s) + 2*n(s). Determine h(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 63. Suppose -12*b + 177 - 21 = 0. Let r be i(b). Determine s, given that 0 + 4\/7*s**r + 4\/7*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 + 25*h**2 + 16*h - 38. Let b be f(-16). Let a = -1696182 - b. What is a rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z - w = 22, 5*z - 37 = 2*w. What is the common denominator of 338\/100 - (z - 5) and 3\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - 26\/(-12) - -2 and -89\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155.1 + 164. Let v = b + -8.802. What is v rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-216)*-7*3\/(-6).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -254*g - 46. Let x(t) = -224*t - 43. Give -6*p(v) + 7*x(v).\nAnswer: -44*v - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14\/(-91) - 2381\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 996 and 492074 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 0.151, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/60 - g**2. Let i(y) be the third derivative of 0*y**3 - y**2 + 0*y + 0 - 1\/24*y**4. Determine u(i(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29243886 divided by 2.\nAnswer: 14621943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 509 - 307. Which is smaller: n or 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083116 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.3, 1.46, 2\/3, 0.1, 23.\nAnswer: -0.3, 0.1, 1\/2, 2\/3, 1.46, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1573 = -5*n, -4*n + 1181 = 3*t + n. Suppose -392 - t = -8*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)*-2)\/sqrt(2))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Suppose 84*b - 81*b = 3. Let a(q) = -q - 1. Let m(t) = 14*t - 3. Let f(y) = b*m(y) - 3*a(y). Calculate p(f(j)).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)\/(4 + -6). Let s(i) = -i**3 + i**2 - i + 2. Let y be s(t). Solve -3*m + 1 = -2*l, y*m = 5*l + 3*m - 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 21*q = -84. Suppose q*u - 15 + 9 = 0. Solve 4*y - 4*m = -20, 15 - u = -2*y + 3*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 77*l - 131. Let r be h(4). Suppose r*x = 191*x + 14. Put 2, x, 75 in descending order.\nAnswer: 75, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(105\/(-54) + 2). Let g = a - -31. Suppose 5*d - 280 = -4*z, 10 = -3*z - 2*d + 213. Calculate the greatest common factor of z and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 36130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u + 6. Suppose -2*p - 4 + u = 0. What is the least common multiple of 3*((0 - -1) + p) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210*o**5 - 2*o**4 + 25*o**3 - 39452*o**2?\nAnswer: 12600*o**2 - 48*o + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 1)*(4 - 2*c**4 + 0*c**4 - 2).\nAnswer: -8*c**4 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31073 divided by -161.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-5)*(-55)\/88*-8. Solve g = -2*y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**3 - 23*v**2 - 17*v - 26. Let j(m) = 6*m + 11*m**2 + 542 + 4*m**3 - 259 - 3*m**2 - 274. What is 17*j(t) + 6*s(t)?\nAnswer: 2*t**3 - 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 + 84248*f**2 + 144*f - 3032928 = 0. Calculate f.\nAnswer: -6, 6, 21062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*l - 54 - 45. Find g such that 1\/3*g**4 + 2*g**l + 4*g**2 + 8\/3*g + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 14)\/(-4)*(-1)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6507323896?\nAnswer: 2, 691, 1177157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2, 2\/27, -0.154, 0, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20655?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -523.078 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0436 >= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -205 - 296. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j + 2*j - 3*j + 6*j**2 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 + 126.3. Which is the third smallest value? (a) -0.1 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 5 + a)*(72 - 145 - 31*a + 74).\nAnswer: -31*a**2 - 123*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 5*v + 5. Determine k(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6277765 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 + 131 = 3*z, -3*u = -5*z + 210. Let x(o) = 5*o - 6. Let r be x(4). What is the greatest common factor of z and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 1, m: 1, g: 3, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0 + 56. Let x(c) = 5*c - 2. Let m be x(1). Suppose 3*f = -0*f - m. What is the closest to f in 0.5, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1239, 2485, 3731, 4977, 6223, 7469?\n\"Answer: 1246*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 + 20406.\nAnswer: 20405.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 1:28 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.0376096 months?\nAnswer: 0.01698008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 19*q + 18. Let y be s(18). Suppose -4*g = -i + 4, y*g - 2*g - 4 = -i. Suppose g*c - c = -125. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-8)\/16*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19216437 less than -107.28989?\nAnswer: 19216329.71011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 3*c**2 + 3*c - 2. Give u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d. Let o(z) = z**3 - 3*z**2 + 2*z + 3. What is -2*l(g) + o(g)?\nAnswer: g**3 - g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30336 and 9006?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 2*v)*(-4 + 1 + 2) - v + 2*v - 2*v - 1 + 359*v - 8 - 358*v.\nAnswer: -v - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + (-2 + 5 - (4 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8684 is divided by 4341.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*0.03927\nAnswer: -0.031416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**4 + 2*v**3 + 2*v + 1. Let c(a) = 34*a**4 + 14*a**3 + 6*a**2 + 12*a + 3. Let t(w) = c(w) - 6*h(w). What is the third derivative of t(k) wrt k?\nAnswer: 672*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 2105*g**2 - 78470*g - 216600.\nAnswer: -5*(g + 3)*(g + 38)*(g + 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 5 - (11 + -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349375 - -349376. Let d = -5.3 - -5. Which is the second biggest value? (a) d (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) + sqrt(270))\/sqrt(3))\/(-1*sqrt(80)))**2*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 26 = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5 (c) 4 (d) -105\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (6 - (-4 - (-6 + 5 - 2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/55027?\nAnswer: 4\/55027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9839, -9850, -9875, -9920, -9991, -10094, -10235, -10420?\n\"Answer: -r**3 - r**2 - r - 9836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q = 234 + 188 + 42 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k**2 + 9*k. Let v(y) = 2*y**2 - y - 4. What is d(c) + 6*v(c)?\nAnswer: c**2 + 3*c - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6306 is divided by 783?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*sqrt(513))\/sqrt(9))\/sqrt(3) - (sqrt(19) + -2*sqrt(2299) - (sqrt(19)*1 + 3)).\nAnswer: -2*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/1323 and 107\/54.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 8, -2.\nAnswer: -284, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4060*4\nAnswer: 16240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1002490 divided by -29485\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 46456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.252492 + -22.452827. Let v = -22.2 - y. What is v rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/360 + q**5\/15 - 4*q**4\/9 + 207*q**2. Factor h(d).\nAnswer: -d*(d - 8)*(d - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*u + 5, 0 = -3*t + u + 15 - 0. Let f be (396\/60)\/(-11) - (-28)\/t. Solve -5*i - f = -0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17342110?\nAnswer: 2, 5, 103, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*2*2\/8. Suppose -5*h + m = -2*h. Suppose h - 6*l + l**2 + 3 + 4 + 0*l = 0. Calculate l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 14, -2\/11301, -13?\nAnswer: -2\/11301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511800 and 3000?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -3 - -1) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 9*y**3 - 69*y**2 + 99*y - 42.\nAnswer: 3*(y - 2)*(y - 1)**2*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 158*n - 4 + 136*n + 353*n in the form f*n + u and give f.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Suppose 0*y = h - 3*y + 7, -5*h - y = 3. Which is the nearest to -0.1? (a) -0.1 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhrhhhhrhhh. What is prob of picking 3 h?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20254137, 40508276, 60762415, 81016554, 101270693?\n\"Answer: 20254139*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6561*w**3 + 1595 wrt w.\nAnswer: -19683*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**34*o**(-18)*(o*(o\/(o\/(o*o*o*o\/o**(2\/5))))\/o)\/(o*o**(-28)*o) assuming o is positive.\nAnswer: o**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818 is divided by 573?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 2)\/(-4 + 5). Let o(d) = -d**3 - d**2 + 2. Let u = 2 - 2. Let s be o(u). Solve -4 = -q*w - s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1252477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716621447.\nAnswer: 716621447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2 + i + 2*i)*(-1 + 1 - 6).\nAnswer: 6*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 100\/11, 0.3, 1 in descending order.\nAnswer: 100\/11, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 39894.5 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21 - 3*v**2 + 20*v - 8 - 8*v + 4*v**2. Let q be d(-10). Let k(m) = m**3 + 6*m**2 - 4*m + 10. Determine k(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.04 (b) -12 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 62 = -8. Let f be (x - -1)\/((-10)\/(-610)). Calculate the greatest common divisor of 61 and f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241687.13 rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(40)\/sqrt(8) - (sqrt(20) - sqrt(140)\/sqrt(7)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3624*g + 3623*g - 2 + 10. What is the remainder when 179 is divided by v(-23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899508432 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 241.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2695)*-2)\/((sqrt(720) - (1*sqrt(720) + sqrt(720)))*-1 + sqrt(720) - sqrt(720)).\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -57?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188 - 1314\/7. Let r = -146.9 + 147. Which is the nearest to l? (a) 2 (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -121\/2. Let g = -1012.02 - -1006. Let m = g + 4.02. Which is the closest to 1\/2? (a) k (b) m (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12496*r = x + 12501*r - 13, -5*x + 134 = 2*r for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 90*c + 12*c + 31 - 58 = 39, -c - 7 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - -156. Suppose t*j = 222*j + 6. Suppose -8\/7*d + 6\/7*d**2 + 0 + 2\/7*d**j = 0. Calculate d.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 38133?\nAnswer: -38137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -11709, 5, 3, -20 in descending order.\nAnswer: 5, 3, -6, -20, -11709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-60) - (8 + 162\/(-10) + 7). Let y(i) be the first derivative of h*i**2 - 11 - 1\/3*i**3 + 0*i. Factor y(w).\nAnswer: -w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 15*g + 21. What is k(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(2)*-2)**2*1)*-6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))**(-36)\/(m\/(m**(-1\/9)\/m*m))**(-1\/67) assuming m is positive.\nAnswer: m**(21718\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -d + 8, 3*d - 5*y - 58 = -d. Let c be 0*(-4)\/d*1. Which is smaller: 24\/23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -23*m**2\/2 + 9*m - 11. Differentiate h(i) with respect to i.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.0142937 microseconds in weeks?\nAnswer: 0.00000000021001040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from -31812.056.\nAnswer: -31812.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17485 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + (1 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -5\/33738082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -117. What is the third smallest value in -0.2, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-1\/3)))**(-50)*(o**(1\/2))**(-1\/19) assuming o is positive.\nAnswer: o**(-7603\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + sqrt(1216)) - (sqrt(1216) + -1 + 4) - ((sqrt(931) - (sqrt(931) - -2*sqrt(931) - sqrt(931))) + 3 + 2)) + -4)**2.\nAnswer: 750*sqrt(19) + 12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*o = 157*o + 150. Suppose 18*z - 1284 = o*z. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*g - 20 = 0, 343*g = 4*j + 345*g + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.902*584.8\nAnswer: 3451.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 12, -38, -124, -258?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -8.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89756 and 714505?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i + 10. Put i, -5, -2 in decreasing order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/3 + 8616*s**2 + 51689*s\/3 - 25846 = 0.\nAnswer: -25846, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/3, -4, 4\/5, 1 in descending order.\nAnswer: 1, 4\/5, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27699 or 26860?\nAnswer: 26860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 29023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 116, 149, 160, 143, 92, 1?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 (base 4) in base 9?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5466*t**3 - 2*t**2 + 17*t - 2 wrt t.\nAnswer: 32796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(539)*2 - -5*sqrt(176)))**2.\nAnswer: -340*sqrt(11) + 12741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 23*i - 38. Calculate t(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - l**3 + 4*l + (l + l - l)*(-2*l**2 - 9*l**2 + 2*l**2).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4642 + 6957. Let j be (w - 1)\/(-4) - 0. Round j to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1904 - 233. Suppose 3*w - 18031 = 2*s, -4*w - s + 22352 = -q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3682.729 + 3670. Let s = z + 18.828. Let x = s - 0.099. Which is the closest to x? (a) -2 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (41 - 21) - 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/91 - (73\/(-13) - -5)\/((-1)\/(-28))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5125 (base 7) in base 13?\nAnswer: a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2018531398, 2018531396, 2018531392, 2018531386, 2018531378, 2018531368, 2018531356?\n\"Answer: -v**2 + v + 2018531398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26611351 (base 7) to base 5.\nAnswer: -1112103444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 4. Let j be w(8). Let i be (-3324)\/(-60) - j\/10. Calculate the greatest common divisor of 385 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -10. Solve v*a = 4*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - 0.23. Let j = s + 0.02. Let g = -0.059981 - j. Round g to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*j + 8720, -41 + 49 = -2*j. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22324 (base 5) to base 11\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -17*h**2. Let d(w) = 35*w + 319. Let b be d(-9). Let t(k) = 735*k - k**2 - 735*k - b*k**2. Determine c(t(p)).\nAnswer: -425*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-5 + 3 - -11 - (-76 - -78))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 231665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 319*z = 159*z - 18408 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12971 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30234*w**4 - 2*w**2 + 10*w - 64000?\nAnswer: -362808*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -9. Which is smaller: n or -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**4 - 128740*s**3 - 368296530*s**2 - 351150270900*s + 117091016905.\nAnswer: -5*(s + 2861)**3*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4021*j + 2196 = -4387*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -38*w + 30 + 21*w + 16*w - 5. Let v be m(4). Calculate the highest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/120 - p**5\/12 - 7*p**4\/24 - 2*p**3 - 19*p**2. Let u be t(7). Let w = -36 + u. Which is smaller: -1\/62 or w?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 2*f. Let k be l(0). Suppose k = 4*g + g + 45. Let x be (-2)\/6*(-9 - g). Is x equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -20 + (30 - -23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -26. Suppose -24 = -7*n + u*n - 2*k, 0 = 2*n + 4*k - 18. Factor 0*o - 2\/3*o**4 - 2\/3*o**3 + 0*o**2 + 0 + 4\/3*o**n.\nAnswer: 2*o**3*(o - 1)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 33*v - 26 = 29*v, 45 = 5*v. Calculate the greatest common factor of 2232 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24408626 minus -4960.9?\nAnswer: 4961.14408626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(19*c + 14107 - 14107).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = -0*v. Put -5, -4, v in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 121?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1352 = -12*x. Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 47. Calculate the remainder when 237 is divided by (4 + -1 + 0)*q\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 i when three letters picked without replacement from pittprjifirtiiijrrj?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + (-19)\/(-7). Suppose 53 = 3*y + 17. Suppose 4*l = -y, -m = h*m - 5*l - 27. Which is the third smallest value? (a) 5 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30787243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(297))\/(sqrt(15)\/(sqrt(5) - sqrt(80))) + 5.\nAnswer: -18*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 68*l - 1904. Let s be i(28). Solve 25*y - 28*y = -2*x + 19, -5*x - y + 22 = s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -323.1?\nAnswer: 484.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13*h*h\/(h*h\/(h**(2\/55)*h))*h*h)**(-40) assuming h is positive.\nAnswer: h**(-7056\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 3392192.\nAnswer: 10176576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.50313112 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*s = 149*s + 3*g - 67, 7*s - 517 = 9*s - 111*s + 2*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098269235 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*q + 10, -3*w + 0*w + 6 = 0. Suppose 0 = -q*y - 3*y. Suppose t = -2*t + 3. Solve 3*x + 14 + t = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4295279, 17181060, 38657361, 68724182?\n\"Answer: 4295260*g**2 + g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i**2 - 15241*i - 61028. Give a(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + g**4 - 4*g**4)*(1273 - 269*g - 1273) + (-g**3 + 5 - 5)*(0*g**2 + 0*g**2 - g**2).\nAnswer: 270*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**18)**(1\/15) assuming b is positive.\nAnswer: b**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*3 - (-64 - 2). Let k = -42 + x. Suppose 0 = 7*z - 2*z - 20. Calculate the lowest common multiple of z and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15419940 divided by 5.\nAnswer: -3083988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(-2\/7)*j*j))**(-13)*j**(-10)\/(j\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.15 + -61.15. Let l = -59.99926 - y. What is l rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 4*x**2 + 3*x + 12. Let m be t(5). Solve 2*l + m*c - 4 = 0, -l = -5*c + 6 - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4226*q - 10 = -4233*q + 214. Let f be 6\/21 + 7386\/21. What is the highest common divisor of f and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) + 4)*-4 - (sqrt(1300) + 3) - (sqrt(936)*1)\/(sqrt(288) - sqrt(288)*-2).\nAnswer: -31*sqrt(13)\/6 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299.1 - 299. Is m at least as big as 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1079*c**2*i + c**2*u**3 - 10*c*u**2 - 36*c*u - 2*i*u**3 wrt c?\nAnswer: 2158*i + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -639549*s - 8314064. Determine a(-13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383 is divided by 1274.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2179*u**2 + 4*u + 211. Let d(w) = w**2 - w - 9. Let s(b) = -4*d(b) - m(b). Let j(v) = -25*v**2 + 2. Calculate 175*j(p) + 2*s(p).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8536706 to 2 dps.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 2. What is the closest to -2 in -5, 1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12277 + -12273. Solve -h*m + 2*s = 10, 8*s + 15 = 3*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + o - 2. Let p(g) = -2*g**2 - 2*g + 2. Suppose -18 = -i - 3*m, 10 = -5*i - 0*m + 5*m. Determine i*b(x) + 4*p(x).\nAnswer: x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z - 356*z - 8149 = 0 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 17 = 5*n, 5 = -19*n + 22*n - 0*q + 2*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 890, 1611, 2324, 3029, 3726, 4415, 5096?\n\"Answer: -4*d**2 + 733*d + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.5, -3\/7, 5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, g: 4, m: 1, h: 5, z: 1}. What is prob of picking 1 g and 1 z?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094779877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g + 0*g**4 + 0*g**6 + 0 - 1\/840*g**7 + 0*g**5 + 80*g**2 + 0*g**3. Factor p(u).\nAnswer: -u**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53902204, 53902217, 53902230, 53902243?\nAnswer: 53902256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 715 and 8?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 0 (c) -0.5 (d) 16849\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**17\/(a*a**(1\/3)*a) assuming a is positive.\nAnswer: a**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22873 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:39 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2. Determine y(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 17*f**2 + 21*f - 1190. Let z(j) = 7*j + 4. Give -2*h(p) + 11*z(p).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*l**2 + 65*l**2 - 208*l**2)*(4 + 3 + 0).\nAnswer: -1841*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 87, 114, 123, 108, 63?\n\"Answer: -x**3 + 46*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740363327?\nAnswer: 11, 241, 317, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2798 = -7*z + 33185. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + (-33)\/(-15))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -4*i**2 + 37*i - 67. Let d(z) = -7*z + 35. Let h(g) = 6*d(g) - 5*l(g). Determine h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 10*b - 15. Let x(s) be the first derivative of -s**3 + 15*s**2\/2 - 22*s - 74. Let l(a) = -8*r(a) + 5*x(a). Calculate l(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121683 at least 1633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(28) - (sqrt(112) + (sqrt(112) + -1 + sqrt(112) - sqrt(112) - sqrt(112)) + sqrt(112))**2).\nAnswer: -54*sqrt(7) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 12) to base 8\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-16)*(l**(-2)*l)\/l assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1047 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 2*i - 4*i - i - 2*i + 5*i + 3*i - 5*i + 3*i + (0*i + 4*i - 3*i)*(-3 + 1 + 3) - 2*i + 1 - 1 + 8 - 9*i - 3 - 7.\nAnswer: -8*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.0034 - -0.0034. Let d = -1.2 + 0.1. Are d and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:45 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 55. Let h be v(24). Let m = -23 - h. Let q(a) = a + 22. Let l be q(m). Is l greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -201*t - 494. Does 73 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -798, -3314, -7514, -13368, -20846?\n\"Answer: 5*c**3 - 872*c**2 + 65*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 63130 = -5*l + 5*b, -5*b = 5*l - 63090. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.849 and -6.45364434?\nAnswer: 5.60464434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-21)*c)\/c))\/c*c\/c**(-12)*(c\/((c\/(c**(-1\/26)\/c))\/c))\/((c*c*c\/(((c*c\/(c\/(c**(-2\/53)\/c))*c)\/c)\/c))\/c) assuming c is positive.\nAnswer: c**(42613\/1378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*p**2 + 4*p - 99*p**2 + 0*p**4 + 5*p**3 - 2*p - 3*p**4 to the form i*p**4 + y + j*p**3 + l*p**2 + q*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6264.7 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 44*m + 224.\nAnswer: 2*(m - 14)*(m - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2. Let c(b) = 20*b**2 + 3*b. Calculate c(s(z)).\nAnswer: 320*z**4 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z - 2 = 0. Suppose -z - 1 = -v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a3527 (base 11) to base 6\nAnswer: -25013401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/15)*o)**9*o**(-20\/7)*(o**(-4\/5)\/o)\/o assuming o is positive.\nAnswer: o**(201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -318*c**2 + c - 8. Give n(-2).\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -56*j + 9. Give t(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = k - 5*t + 3*t, -5*k = -5*t - 695. Suppose -5*c = -k - 65. What is the remainder when c is divided by (-1 - 0) + (12 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*j - 11 = 0, 5*u - 10 = -2*j + 11. Let x be u + 0 + (-721)\/147. Put -2, 2, x, 0.1 in ascending order.\nAnswer: -2, x, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 - 5*p - 4. Let i be (1*-2)\/(0 + (-3)\/(-6)). Let c be w(i). Suppose -24 = -3*o - c*o. Solve -2*s = -o*g + 4*g + 6, -s = 2*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/52 and 29\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 33121 = -1164. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293854801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -857, -861, -865?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 3. Let u(q) = 5*q + 11. Let t(y) = -9*a(y) + 2*u(y). Let d be t(7). Solve -w - d = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + 2*i - 3*i)*(1 - 1 + 2*i) - i**2 + i**2 - i**2)*(-1 - 3 + 5)*(7 - 3 - 5).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.343ml in litres?\nAnswer: 0.067343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 1. Let c(t) = t**3 + 11*t**2 + 6*t - 4. Let u(h) = -c(h) - 6*v(h). Let i = 53 - 58. What is u(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -16.5. Let y = -143\/175 + 24\/25. What is the nearest to -0.08 in y, b, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 50 - 68. Suppose -a*i - 486 = -12*i. What is the highest common divisor of 54 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7007*m**2 - 20968*m**2 + 6955*m**2 + 6998*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 14 + (-11 - -27) + -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1367188283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 5 = -2*g - 53. Let l(z) = -z**2 + 3*z + 15. Determine l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (69\/4)\/((-12)\/(-32)). What is the units digit of 3 - (2 - m)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20a (base 13) to base 6\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/(155 + -2))\/(-14*1\/12). What is the fifth smallest value in 1\/3, -0.3, j, 0, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 4*o**3 + 2*o**3)*(13 - 1 - 2)*(0 - 13*o + 0).\nAnswer: -260*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(3\/(-9)). Let r(y) = 58*y - 664. Let b be r(12). Calculate the greatest common factor of m and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 18\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -237*g**5\/4 - 91*g**4\/12 - g**2 - 1078*g. Find the third derivative of y(a) wrt a.\nAnswer: -7110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + -0.07. What is the third biggest value in w, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18 - (-16 - -2)*(-4)\/7. Solve -m + c + 2 = 8, 3*c - s = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*a - 151502 + 152082 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3 + 0*g**2 + 0*g**3 + 1\/10*g**5 + 1\/6*g**4 + 2*g. Let y(n) be the first derivative of k(n). Solve y(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-18)\/(-15)*(-50)\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 2. Let q be l(2). Let f = -6.06 + 6. Let j = f - -3.06. Which is the third biggest value? (a) 0.2 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**5 + 2*h**5 - 4*h**5 + h**3)*(-41 - 89 + 35).\nAnswer: -95*h**5 - 95*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.19 rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2 - 2. Let l(v) = -v**3 - 3*v**2 + 3*v + 5. Is l(m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/95*112\/32*5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28021979, -28021958, -28021937, -28021916, -28021895, -28021874?\n\"Answer: 21*v - 28022000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27273.51 microseconds to milliseconds.\nAnswer: 27.27351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1365, 1184, 1005, 828, 653?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4888*a - 2800*a**2 - 4888*a + 2802*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(650)*-4 - sqrt(650) - sqrt(650))\/(sqrt(20)\/(sqrt(110)\/(sqrt(66)\/sqrt(6)))).\nAnswer: -110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 14674 = 113*m - 810944. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -597 - -209. Round i to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + 4*q**3\/3 - 5*q**2\/2 + 2*q. Let o be y(5). Let v be (8\/o)\/(2\/(-10)). Sort 4, -5, v in ascending order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-2)**2 + 5.\nAnswer: 6341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.05 + -0.05. Let h = -2753468280.00000285 - -2753468221. Let w = g + h. Round w to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 5*s + 26, 18*b = 21*b + 3*s - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1401\/4 - 4207\/12. What is the nearest to 3 in z, -2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 - 5*u**2 + 4*u**2)*(0*u - 4*u + 6*u) in the form w*u + s*u**3 + d*u**2 + m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5786676 divided by -252.\nAnswer: 22963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 3. Let l(i) = i**2 - 4. Let d be ((1 - 2)*-1)\/(27\/(-162)). Determine d*m(h) + 7*l(h).\nAnswer: h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13280 is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, 4\/5, 0, -2.\nAnswer: -2, 0, 4\/5, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*o**3 - 21 + 35 + 11462*o - 14 - 22919*o + 11459*o.\nAnswer: 208*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -161, -0.5, 120?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 28. Which is the nearest to 1? (a) 1\/4 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*a - 12. Let t be 1 + (16 - 2\/a). Does 5 divide (-30)\/t*(1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**6\/12 - 3*z**5\/16 - 5*z**4\/24 + 10*z + 7. Let c(j) be the first derivative of o(j). Let c(y) = 0. What is y?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.07, -2, 2\/15 in descending order.\nAnswer: 2\/15, 0.07, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o + 20. Let u(r) = 11 + 31 - 2 + 0*r - 11*r. Let c(x) = -9*p(x) + 4*u(x). Calculate c(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -448?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -76.2 (b) -2\/121 (c) -2\/7 (d) -2 (e) 0.2 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 90*-3857\nAnswer: -347130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5412.466 centuries to months.\nAnswer: 6494959.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 2. Let v(c) = 84*c**3 - 49*c**2 + 7*c - 14. Let u(o) = -28*k(o) - 4*v(o). What is the third derivative of u(r) wrt r?\nAnswer: -2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + 4*p - 6. Let s be a(6). Suppose 0 = 4*c + 3*f - 4 - 1, -2*c - f + 3 = 0. What is the greatest common factor of s and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 515*r - 510*r - 12*n - 65, 4*r - 71 = 3*n for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (-3 - -1 - -5). Suppose 4*y = 2*r + p, -2*y - r = r. What is the first derivative of y - 2 + 8 - 2 - v**3 wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 6\/13, -4, -2\/11, 1\/854, 4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -768.056 + 822. Let k = -54 + t. Round k to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Suppose 3 = h*s - 2. Suppose -g + y + 10 = 0, y + 43 = 3*g + 25. Are g and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -5) + -9 - (-3 + (3 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:12 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*y - 5*y. Let d = -24 - y. Let o = d + -14. Solve -o*z = -5*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-84))\/((((-135)\/20)\/9)\/(48\/224))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13363302 (base 7) in base 14?\nAnswer: 244b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 30. Let v = r + 15. Solve -3*c - c - v = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33110.936 rounded to the nearest 10?\nAnswer: -33110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222022101 (base 4) to base 16.\nAnswer: 2a291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11220457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 215 = 5*c + 263, 0 = -5*c + 20. What is the remainder when i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-4\/9))**(2\/3)\/(((g**(7\/4)\/g*g)\/g)\/g**(-1))**(-46) assuming g is positive.\nAnswer: g**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21945 divided by 627.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*u - 3. Let f = -48\/119 + 2\/17. What is the second biggest value in f, u, 5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100011000000100011000001?\nAnswer: 100011000000100011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 26\/935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 3852d5?\nAnswer: 3852d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*c - c. Suppose -7 - 3 = c*b. Let o = 10 + -5. Put 0, b, o in descending order.\nAnswer: o, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*w**3 + 1 - 50*w**5 - 2*w**4 + 2*w**3 + 32*w**3 + 104*w - 800*w wrt w.\nAnswer: -1000*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1958 + -1939. Suppose 0*h + 3*h + 12 = 0. Let o = 6 + h. Is n > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*m**2 + (1 - 2 + 0)*(2*m**2 - 3*m**2 + 2*m**2) + 0*m**2 - 4*m**2 + 2*m**2 + (-292*m + 131*m + 128*m)*(-3*m + 1 - 1).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4045*s + 1500*s + 21 - 717*s.\nAnswer: 4828*s + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28 + 0*5\/10. Suppose 8*o - y - 4 = 0. Solve -20 = -4*s + 2*g, -2*s - o*g + 3*g + 2 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k - 2 - 7 + 5. Let s be p(-3). Calculate the greatest common factor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6557, 6393, 5953, 5099, 3693, 1597, -1327, -5217?\nAnswer: -10211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttbb when four letters picked without replacement from bttbt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099140*r**2 + 2198020*r**2 + 0*r + 0*r - 1098856*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 355 - -653. Calculate the highest common divisor of 63 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 3 + 21 - 10 - 28*p.\nAnswer: -28*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 494*(-3)\/(-534) - (0 - -3) and 34?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 + 197.92. What is the closest to l in 0.4, -2\/3, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - 8. Suppose 4*q - 16 - v = 0. Suppose 4*y = -3*d + 235, q*d - 3*y - 543 = -161. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -85*i**3 - i**2 - 2*i - 7. Let n = -13 + 11. Is a(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aayy when four letters picked without replacement from {b: 5, v: 2, a: 2, y: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, 5*c + 5*u - 7 = 8. Let t(d) = d**3 - 2*d**2 - 5*d + 3. Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188134983 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r. Let b(x) = 13*x - 428744. Calculate b(g(f)).\nAnswer: 39*f - 428744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23880 - (32 - 13) - 3?\nAnswer: 2, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/17 (b) -3 (c) 2026.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.9 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 11*r**2 - 1445*r - 508. Calculate m(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 - 5*f**2 + 13*f - 29. Let u be p(9). Suppose 2*z - 2*o - 218 = -54, -o + 333 = u*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 20*x**2 + 55*x - 1357. Give v(19).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 83*x - 201. What is the remainder when 896 is divided by t(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320 + 33424?\nAnswer: 34244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 883936 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 12 = -4*q, 0 = 4*l + q + 20 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 2. Let p be j(-2). Factor -3*q**3 + 3*q**5 + 0*q**5 + p*q**3.\nAnswer: 3*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144 + -159 - (1 + -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 11\/12, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 0.076 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173008833*u**3 + 4*u**2 - 12298592 wrt u?\nAnswer: -1038052998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:31 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09724 + -79540228.\nAnswer: -79540228.09724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 14. Let g be f(11). Suppose -5*n + 16 = -4*n - g*y, n + 2*y = -9. Put n, -4, -1 in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 65 + 82)*(8*v + 3012 - 3012)*(3*v + 2*v - 3*v).\nAnswer: 2256*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-111)\/(-36) + -3). Let w be (o\/10)\/((-6)\/20). Calculate the remainder when (-18)\/(-4)*w\/6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4771327929*u - 5*u**3 + 7*u**2 + 4771327929*u.\nAnswer: -5*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -4*l. Suppose -3*y + 2*i - 6*i + 986 = 0, 3*i + 1348 = l*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275663917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 - 23*l**4\/12 - 3*l**3 - 7*l**2 - 2*l. Let z = 387 - 363. What are the prime factors of r(z)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4436885 divided by -5.\nAnswer: -887377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 5*u**2\/2 - 8*u - 9. Let g(h) = -h + 10. Calculate 7*d(k) - 3*g(k).\nAnswer: 3*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = 2*o. Let d = 0 + -2. Let z = -2 - 2. Sort d, z, o.\nAnswer: z, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Let n be (1\/p)\/(3\/(-180))*3. Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*t + 1688 = 0, -49*u - 2132 = -54*u - 3*t. Calculate the greatest common factor of u and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26630285, 26630286, 26630281, 26630264, 26630229, 26630170, 26630081, 26629956?\n\"Answer: -r**3 + 3*r**2 - r + 26630284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*q**3 - 66780*q**2 + 243*q - 87727 wrt q?\nAnswer: -228*q - 133560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 less than 1749362?\nAnswer: 1749472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n - 2*n**3 - 2 - 5*n + n**3 - 2*n. Suppose z - 4*z = 3. Let s(q) = q**3 + q + 1. Determine z*v(u) - 2*s(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 - 84*r**2 - 112*r - 29. Calculate a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32769, 65531, 98293, 131055, 163817?\n\"Answer: 32762*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -74a68?\nAnswer: 74a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 5. Let y be v(5). Suppose y*l + 2*l - 8 = 0. Solve -l*t - f - 2*f = -7, 2*f - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9 + 28\/3. Let h = -19 + 24. What is the highest common factor of h and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10392 and 916.\nAnswer: 2379768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3421985*k**2 + 3421206*k**2 - 2*k + 4.\nAnswer: -779*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136123884 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*h = -9*h + 755, 3*h + 1249 = 5*a. Is 2260\/9 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 25 = 0. Suppose 27 = 2*a + q. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12569917*o - 12569590*o - 2943 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/((-11016)\/36))\/(111\/18 - 3).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -3736 + 3736. Let l(p) = p - 60. Give l(h).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 63944181?\nAnswer: 63944176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 266434 or 265957?\nAnswer: 266434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1035 by 5.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*40\/60\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 + 10*f - 24. Let h be q(9). Which is bigger: h or 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2621*-271918.\nAnswer: 712697078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(20 + 4) - 8\/48. Solve y = -9*d + 10*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(780 + 25*q - 780 + (2*q - 3*q - q)*(-3 + 4 - 3) - 2*q + 0 + 0) + (q - 2*q + 0*q)*(5 - 1 - 2))*(-14*q**2 + 6*q**2 + 23*q**2).\nAnswer: 780*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1601142*s. Let v(m) = -m. Give v(o(a)).\nAnswer: 1601142*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxtcxtcxxtxxxtx. What is prob of sequence ttxt?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 132*p**2 + 400*p + 336.\nAnswer: -4*(p - 7)*(p + 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/3 - 8)*(-4)\/10. Let j(h) = -h**3 + 4*h**2 - 5*h + 6. Determine j(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + 5) - 1. Let z = 10 - 6. Suppose 3 + l = 2*w, z*b + w = 15. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -15) + (-2 - -17) + 10 + -14 + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) 2\/3 (b) 3\/8 (c) -5 (d) -0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 2. Let q(c) = 4*c - 6. Let i(x) = 7*h(x) + 2*q(x). Let u be i(6). Suppose 0 = -w + u + 5. Solve -5*d + w = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - f - 8*f**3 + 2*f + 10*f**3 + 5 to g + c*f + q*f**3 + p*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -479 - -1438\/3. Let w = -5 - -10. Which is the closest to -0.4? (a) w (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.279675 rounded to one decimal place?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26*((-11)\/2 + 6). Calculate the greatest common factor of 2509 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v - 162*v = -2102310. What are the prime factors of v?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 4253, -1.065, 0, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 942, 1898, 2834, 3720, 4526?\n\"Answer: -5*b**3 + 20*b**2 + 931*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -5, 14, 49, 106, 191, 310?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 7. Let z be b(-4). Let x = 3 - z. Calculate the remainder when (-8)\/20 + (-57)\/(-5) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16789\/8 + -2108. Find the common denominator of (-9)\/(-54) + (-148)\/33 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhcddhhdvgvegcg. What is prob of sequence ge?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4648750.568 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*c + 13, 3*g + 288*c - 291*c = 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1542004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*s - 20 = 8*u, 3*s - 35 = 7*u. What is the nearest to 0.02 in 0.3, -0.4, u, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3599 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiynwiqqiiiiw. Give prob of picking 1 w and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(4\/7)*w*w)\/w**(-2\/3)*(w**(-1))**(1\/57) assuming w is positive.\nAnswer: w**(2083\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039830323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -58. Solve -4 = -2*s, 5*s - 3 - g = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:21 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -2, -4, -3 in decreasing order.\nAnswer: 99, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 47*z + 3 = -46*z, -d - 6 = -2*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 0, -c = x + 2*x + 25. Let p(f) = -2. Let b(y) = 7*y - 3. Let o(t) = -b(t) + 4*p(t). Let d(l) = 8*l + 6. Give x*o(s) - 6*d(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5195090 to the nearest ten thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3235390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 1920?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > 40192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.3, 7, 4\/33, -1\/5 in ascending order.\nAnswer: -10, -1\/5, 4\/33, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -2\/3, -24, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 4. Suppose -7*q = -24 + 3. Determine r(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*q - 13 = 0, -u - 4*q - 17 = q. Let t(a) = -6 - 2*a - 2*a + 2*a. What is the units digit of t(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9434, -18767, -46968, -75169?\nAnswer: -103370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*a - 8*a + a**5 + a**5 + (3*a**5 - 2*a**5 + a**5)*(-24 + 57 - 3).\nAnswer: 62*a**5 + 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*n = 9*w - 33, -416 + 393 = -5*w + 3*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.583252 rounded to two decimal places?\nAnswer: -3.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3, 12*p = 11*p - 2*f + 6. Suppose -3*n - 39 + 14 = -b, 70 = 5*b - p*n. What is the greatest common divisor of b and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102841459123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4\/3 + 28*h**3\/3 + 313*h**2 + 4522*h\/3 - 5488\/3 = 0.\nAnswer: -14, -8, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -53555043 divided by -3\nAnswer: 17851681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3999.465974 from 1.1.\nAnswer: 4000.565974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340978 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 107268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 9) to base 13\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-2 + 1 + 3). Suppose -4*c - a*b = -2 + 34, -2*c = -5*b - 14. Let o(k) = -3*k**2 - 9*k - 5. Give o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 993*k**2 - 760*k + 28. Let m(g) = -1985*g**2 + 1522*g - 49. Let r(a) = -4*m(a) - 7*u(a). What is the second derivative of r(n) wrt n?\nAnswer: 1978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 51*i**2 + 7*i + 9. Let l be s(9). Let g be l - (-5 - 3\/(-3)). Let d be g\/35 + (-4)\/20. What is the highest common divisor of d and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 143 + (7 - (-3)\/(-1)). Let z be (k\/49)\/(2\/(1*6)). Let t(r) = r**2 - 9*r. What is t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 70*t + 2022. What is x(-29)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -712 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -31, -39, -27, 11?\n\"Answer: a**3 + a**2 - 32*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5288 and -0.06845?\nAnswer: -361.9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2509850064 - -0.582?\nAnswer: 0.8329850064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/13 (c) 0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vklql. What is prob of picking 1 k and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228 - 5221 - (-86)\/9*(-6)\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgxxgxxxxx. Give prob of sequence gxgx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -20, -2*f = -5*r - 0*f + 12. Suppose -2*w - r = -4*w. Suppose 4*m = 3*b - 9, -4*b + 5*b = w*m + 1. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -298 and -44.27?\nAnswer: 253.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 11:32 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1128\/32 + (-2)\/8. Let o = -33 + c. Suppose 4*y = -o*l + 110, 2*l - 13 = 2*y - 53. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3291, 126, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -19 - 94*h + 30*h + 47. Let u(r) = -7*r + 3. Suppose 0 = -21*b + 224 - 161. Calculate b*o(s) - 28*u(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*s**3*x**2 + 42*s**3*x + 3*s**2*x**2 + 4*s*x**2 - 433*s - 13*x**2 wrt s?\nAnswer: -696*s*x**2 + 252*s*x + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-70) - (7 - 330\/42)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*g - 1325*g + 442*g + 115*g**2 + 432*g + 15*g**2.\nAnswer: 130*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(225))\/((-1*sqrt(35))\/sqrt(7)))\/((sqrt(576)*-1*1 - sqrt(576) - sqrt(576)) + 1*sqrt(576)*-2).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/1 + (19 - 13). Suppose -1\/6*w - 1\/3*w**2 + 1\/3 + 1\/6*w**s = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1*4)\/1. Let a = t - -7. Suppose 3*g - a = 4*g, -o = -4*g - 10. Solve 3 + o = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.117 + -2808.228312.\nAnswer: -2808.345312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3*(-21)\/36))\/(-1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 7*p + 0*p)*(-3 - 3*p - 2*p + 4*p)*(0 - 2*p + 0).\nAnswer: 6*p**3 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*w = -6*w - 139, 104 = j + 4*w. Suppose 999 = 133*a - j*a. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9221, 73689, 248665, 589403, 1151157?\nAnswer: 1989181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g + 136. Suppose 2*m - 5*p = -43, 5*p + 9 = -3*m + 7. Calculate the remainder when 328 is divided by x(m).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1041326 and -418.\nAnswer: -1041744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -44\/1421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 95?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/26 and -107\/13032306.\nAnswer: 169419978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 8199*c + 32793\/4.\nAnswer: 3*(c - 10931)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1385 = -5*i + 2*y, 4*i - 944 = -2*y + 182. What are the prime factors of i?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.2 - -18. Which is the nearest to p? (a) -4\/3 (b) 3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 18\/3 - 4. Suppose i = -4*u - 2*w + 316, 0*w - 314 = -4*u - w. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 95?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (8 - 4 - 3). Let o be 2 - r*(-3 + 7). Let v be ((-70)\/(-4))\/(-5)*o. Solve 0 = 5*j + 3 + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8 + 1)*-286. Let m = -717\/5 + q. Are -3 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 569*l**2 - 118*l + 7. Let r(o) = -3*o. Give b(r(t)).\nAnswer: 5121*t**2 + 354*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 8*o - 8. Let b(h) = -14 + 23*h + 10 - 5*h**2 - 18 - 2. Let w(y) = -3*b(y) + 8*m(y). What is the lowest common multiple of 10 and w(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/11 (b) -3\/2 (c) -26 (d) 0.029 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19389098, 19389097, 19389096, 19389095?\n\"Answer: -p + 19389099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*r - 34, -12 - 21 = -y - 3*r. Calculate the lowest common multiple of y and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86213 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 25*n + 5. Give h(-18).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 2. Let c(g) = -7*g + 6. Let b(n) = -3*c(n) + 8*z(n). What is b(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3235*m + 242 + 3235*m - 482*m**2 wrt m.\nAnswer: -964*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2\/3, -0.025, 0.2 in ascending order.\nAnswer: -20, -0.025, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1390 divide 171701140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + h + 32 = 3*h, 0 = -2*h - 10. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3338 - -21902. Is y a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 249, 1631, 5369, 12639, 24617, 42479?\n\"Answer: 196*z**3 + 2*z**2 + 4*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 0.3, 14, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 4*u + 1. Let t = 9 - 12. Calculate b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 370, 769, 1168?\n\"Answer: 399*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 342 = 164. Let r = 2679 - i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from mealeef?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.1. What is the closest to 1 in x, -4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 61. Is (-5)\/n*(-44220)\/150 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, j: 1, l: 2, n: 1, d: 2}. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 - x - 1. Let q(g) be the first derivative of s(g). Let v(i) be the first derivative of i**2 - 262. Give v(q(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((-1*sqrt(2)*6 - sqrt(2)) + (-1 + sqrt(2) + -2)**2).\nAnswer: -13*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9616 by -63.\nAnswer: 9616\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -13, -4\/3, -1.461, 2\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/1360)\/(6\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-275)*22\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-168)\/16)\/((-1)\/(-2)). What is the units digit of (-6)\/z - (-220)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101175 and 4845.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 o, and 1 w when four letters picked without replacement from wwkgookkkogkokogk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13122 - 13117. Which is the biggest value? (a) 1\/3154 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2791.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46922, 93845, 140768, 187691, 234614?\nAnswer: 281537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -60 + 18.28\nAnswer: -41.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 257 (base 8) to base 16\nAnswer: af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a - 9. Let k(p) = 3*p + 5. Let u be k(-4). What are the prime factors of y(u)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 712\/(-16)*(0 - (-4)\/2). Let w = y + 97. Is w equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 0.17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30082 or -29988?\nAnswer: -29988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2524 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m. Let n(f) = -12*f + 1. Determine -8*b(i) + 3*n(i).\nAnswer: -4*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:41 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -53. Suppose 2*r - t + 16 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (-4 - 1 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39455664576 - 19727832288 + 13*p**3 - 19727832288.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let q(v) = 2*v**2 - 1. Let c(z) = -3*q(z) - 7*r(z). What is the first derivative of c(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -115. Is -1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**13\/(b*b\/(b\/(b\/(b**(-9)*b)))))\/(b**(-2\/11))**(10\/11))**(-4\/27) assuming b is positive.\nAnswer: b**(-1532\/3267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Let y be 18\/x*(-6)\/(-9). Solve -2*a + f + 6 = 0, 2*a - y*f = -2*a + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12447*1389 - (-4)\/(-12). Is 0 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - 54\/(-17 - -8). Let f(a) = 0*a + 0 - 5 - 2*a. Calculate f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8703337 micrograms?\nAnswer: 0.0000000008703337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16271, -32541, -48811, -65081?\nAnswer: -81351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 24, 35, 44, 51, 56, 59?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125819\/87504 - -2\/5469. What is the common denominator of z and -33\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51103283?\nAnswer: 7, 11, 31, 79, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -1\/3*n**3 + 0*n**4 + 2 - 11\/5*n**5 + 0*n**2 + 0*n. Find the third derivative of l(d) wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -113. Solve -k - u = -6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169880*m - 169820*m + 720 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + d - 2*d - 616, 8 = -2*d. Solve -2*v - q = -300 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 + (241 - 271) - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859807 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a89 + -28?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (12 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 10 = -38*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -1\/4*a**4 - 4*a + 9*a**2 + 0 + 0*a**3. Let q(o) = 1. What is -18*q(n) + r(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0 + 1\/5*u**5 - 3*u**2 - 5\/4*u**4 - 4*u + 17\/6*u**3. Find x, given that f(x) = 0.\nAnswer: 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msessmsymsnyme. Give prob of picking 1 n, 2 m, and 1 y.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(567))**2*-2 + sqrt(42)\/(sqrt(96)*-1).\nAnswer: -1134 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139340.62 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0.5 (c) -2\/19 (d) -1\/26 (e) -1\/2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o - 8. Let u(x) be the second derivative of -19*x**3\/6 - 17*x**2\/2 + 6*x. Let n(j) = -13*h(j) + 6*u(j). Find the first derivative of n(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28055?\nAnswer: 5, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6169*t - 6134. Determine v(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 288*m**2 + 11*m - 6. Let x be s(-3). Let d = -14 - -8. Is (-5 + 3)\/(d\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(442\/(-1014) + 6\/9) + 4. Let h = 0.5 + -0.2. Which is the closest to 1? (a) h (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (-20 + (34 - 15)) - (0 - (-1 + 12))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/445344 and 91\/39190272.\nAnswer: 39190272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47b1d (base 15) to base 10.\nAnswer: 228628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 53139?\nAnswer: 1594170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**5\/60 + x**4\/24 + 2*x**2. Let v(u) = u**3 + 5*u**2 - 3. Let s be v(-5). Is 6 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-3)\/3)\/((-27)\/3)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(80) + -2*sqrt(80) + sqrt(80))\/sqrt(4))\/(sqrt(640) + -1*(sqrt(640) + 2*sqrt(640))) + -2)*-6*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19851 (base 12) to base 16\nAnswer: 927d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2 + 275106*d - 6604272 = 0. Calculate d.\nAnswer: -91726, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.46?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v**2 - 6. Let w(j) = 14*j**2 + 5. Let o(y) = -5*t(y) - 6*w(y). Let g(m) = -2*m. Calculate g(o(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1504*h**4 + 66 + 225 - 1499*h**4 + 2*h + 14 + 78 - 6*h**2 wrt h?\nAnswer: -72072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.168 + -4.168. Which is the closest to -1? (a) n (b) -5 (c) -1\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 16, v = -4*j + 3*j. Solve v*m = 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30967, 62758, 94549, 126340, 158131?\nAnswer: 189922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(15\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -111, -84, -37, 36, 141, 284?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**4\/4 - 2*w**3 - 7*w**2\/2 - 3. Let k be v(7). What is the third smallest value in -4\/3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1310 + 500103?\nAnswer: 476573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 1349568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7166 + 0.756638. What is r rounded to four dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 5. What is the units digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -6. Let a(r) = 2*r + 2*r**2 - 3*r - 5 + v + 0*r**2. What is a(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9619, -38484, -86593, -153946?\n\"Answer: -9622*h**2 + h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1 (b) 4 (c) -101 (d) -0.2 (e) -39\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1196193 or 1196192?\nAnswer: 1196193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Suppose l - 4*l = -y*i + 126, 5*i = l + 222. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196765.6 plus 4370163?\nAnswer: 4566928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3754 = 2*d, 4*d - 322*l = -321*l + 7552. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 3455\nAnswer: -9\/3455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3409a3?\nAnswer: 3409a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/5 + 5104*h**3\/5 - 1324699*h**2 + 56282380*h + 57608100 = 0 for h.\nAnswer: -1, 45, 2530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21243 divided by -21243\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5))**(-9))**(-45) assuming r is positive.\nAnswer: r**243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4 - a + 3*a**2 + 2*a**2 + 4 - 1. Let p be j(-1). Is 40 - (p - 2) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -0.06. Let i = m - -1.96. Which is the nearest to 0.2? (a) -4 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4276*g + 46987. What is y(-11)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2127\/(-27651) + 46\/(-78)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*y = 12, 3*y - 3 = b - 12. Suppose -2 + b = -2*h. Let j(c) = 4*c**2 - c + 1. Let d be j(h). Solve -5*v + m = -d*v + 3, -v + 9 = 2*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**3 + 44*d**3 - 4*d**3)*(-19 + 562*d - 564*d - 9 - 2*d**2).\nAnswer: -64*d**5 - 64*d**4 - 896*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9492081 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -102292*m + 1125265. What is i(11)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**13*t**(-19))\/(t**20\/t*t*(t\/((t\/(t**(1\/13)\/t*t))\/t))\/t) assuming t is positive.\nAnswer: t**(-339\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*sqrt(500) + 1 + sqrt(500))*2 + (sqrt(500) + 1)*-5*-6)**2.\nAnswer: 14080*sqrt(5) + 243027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 13) to base 3.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 19. Let d(s) = 20. Let y(z) = -d(z) + k(z). Let i(m) = -20*m + 1. Give -i(c) - 3*y(c).\nAnswer: 23*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugm when three letters picked without replacement from gmigugumuu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -76, -148, -256, -406, -604, -856?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/42 and -27\/34492.\nAnswer: 724332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 1. Let v be y(1). Let u be ((-30)\/4)\/(4\/(-8)). Suppose 0 = -g - 4*g + u. Solve 4*l = 3*c, l + v = -g*c + 4*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/31 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76576 and 51552.\nAnswer: 123363936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 1. Let l(c) = 5*c**3 + 2*c**2 + 2*c - 2. Let x be (5 - -1) + -9 + 7 + 0. Give x*q(a) - 2*l(a).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a57c (base 15) in base 7?\nAnswer: 2006253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)\/((-2)\/4). Let w(a) = a**2 + a + 2*a**2 + 3 - 3*a - a. What is w(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/24 + 2*n**2. Let l(j) be the first derivative of -j**3 + 1. Calculate o(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - 19. Let p = 24 + k. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 13. Let f be ((-14)\/(-8))\/(s\/24). Let u = 19 + f. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -52.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**5 - 612*u**4 - 304*u**3.\nAnswer: -4*u**3*(u + 76)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 258*l + 210*l = 152*l + 8554 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 13*w + 3. Suppose -5*b - 38 + 88 = 0. List the prime factors of y(b).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 times 0.3?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5659316030.\nAnswer: 2, 5, 233, 2428891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 233004777 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830592 is divided by 3627?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 198. Suppose 0 = w*p - 67*p + 53. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:02 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n - 148. Determine p(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*b. Suppose 0 = -6*i + b*i - 6. Let o(d) = -7*d**3 + 5*d**2 + 5*d + 4. Is o(i) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -102. Suppose y = -0*y + k. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13846*t. Let u(i) = -82*i**2. Calculate u(d(f)).\nAnswer: -15720360712*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 3*v**2 - 1. Let y be -4 + 4\/(3 + -1). Let p be (1 - (1 + y)) + 1. Let q(t) = -3*t**3 - 7*t**2 - 2. Give p*q(m) - 7*s(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.6 + -107.6. Let s = b + 96.9999943. What is s rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w + 1. Find the common denominator of -2*705\/72*18\/45 and w\/2 - 30\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 55, -2\/7, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*x = -2*x + 737. Solve 2*h + x = 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -2, 5 in ascending order.\nAnswer: -2, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, m: 4, f: 4}. What is prob of sequence mmm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185*v**2 + 135472*v - 135472*v.\nAnswer: -1185*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38713, 38759, 38835, 38941, 39077, 39243?\nAnswer: 39439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 30.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3190 + 13539. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617299 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q + 30 = 0. What are the prime factors of (10\/q)\/((-3)\/(-306))?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/44*(-2)\/(-48). Let y = a + 213\/44. Let r = 10314 + -103041\/10. Find the common denominator of y and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 414663645 - 5?\nAnswer: 414663640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {o: 6, s: 1, y: 2, k: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/120 and 2\/(3381\/411 + -7).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12297*i + 12279*i = 396 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 4*c. Let x be u(-5). Let k be 0 + 0 + x\/(-30). What is j in k*j**2 + 8\/3*j + 8\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 - 5*v + 19. List the prime factors of g(-8).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -2*g + 5*y = -45, -g = a*g - 3*y - 125. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6047 is divided by 253.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u**2 + 2*u)*(2*u + 0 + 0) + (18*u - 18*u + 14*u**3)*(1 + 3 - 2).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 9:26 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + -1 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*k**3*w**3 - 2*k**3 + 2*k**2*w**2 + 2*w**6 - 7*w**5 + 47*w**2 wrt w?\nAnswer: 120*k**3 + 240*w**3 - 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25417 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 290\/73981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2592 * 5.\nAnswer: -12960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 0.1. Suppose -4 = -j, 0 = v - 4*v - 2*j - 4. Suppose -2*a - d = -3 - 1, -2*d = 5*a - 10. What is the closest to a in y, -5, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63947066*z - 93736824.\nAnswer: -63947066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 61, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let y(c) = c**2 + 4*c + 3. What is 3*x(q) - y(q)?\nAnswer: -q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422 - 424. Put -40, 5, u in ascending order.\nAnswer: -40, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*q + 1382 = -2*q - 746. What is the smallest common multiple of q and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*i - 34*i + 62*i - 3*i**3)*(-3 + 2*i + 3) as o*i**2 + f*i**4 + m + d*i**3 + r*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37720 - -4974. Is p a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) 25\/134 (d) -7 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/20 - 11*n**4\/12 - 5*n**3\/3 - 17*n**2\/2 - 7*n. Let y be i(12). Solve y*s = 2*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210.38234 - -0.16\nAnswer: -210.22234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 3 + 89133*i**2 - 88956*i**2.\nAnswer: 177*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14978776*o**3 + 2*o**2 + 325510*o - 2 wrt o?\nAnswer: 89872656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*h**2 - 1082*h**2 - 1078*h**2 + (-3 + 3 - 2*h**2)*(4 - 2 - 1) - 2*h**2 + 0*h**2 + 5*h**2 to the form j*h + i*h**2 + u and give i.\nAnswer: -2098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10}. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 19725. Let m = 12733 - q. Let g = -3048 + m. Round g to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 5*n - 1. Let u be f(-5). Let v(q) be the second derivative of q**3\/6 - 45*q. Let y(g) = 4*g + 1. Determine u*y(r) + 2*v(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*12\/(-112)*-4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47613)\/472)\/(-269) + (-22)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.711, 3, 0.2, 2 in descending order.\nAnswer: 11.711, 3, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v**1*v))\/v))\/v**(-7)*(v\/((v\/v**(2\/13))\/v)*v)\/v*v**(-11)\/v assuming v is positive.\nAnswer: v**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 21 = 4*f + 2*w, 4*w - 9 = -f. Suppose 0*i = 5*i - 20, -11 = f*r + i. Let l be (-13)\/r + 15\/(-45). Solve -q + l*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from simmimimms. What is prob of picking 1 m and 2 s?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siisosssssosoiio. What is prob of sequence sooo?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48522595?\nAnswer: 5, 11, 31, 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 13. Let k be 4*3 - c\/3. Let d = k - 0. Calculate the lowest common multiple of d and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 - 5*g + 1. Suppose 0 = -2*s + i + 7, 5 = 3*i + 2. Suppose 2*n + 2 = s. Let k(w) = -5*w**3. Let v be k(n). Calculate b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 21. Let z be f(-5). Solve 3*n + n - z = -x, -10 = -5*n - 5*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2398*h**4 - 2*h**3 + 381*h**2 - 66089256*h wrt h?\nAnswer: -28776*h**2 - 12*h + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 642122, 642102, 642084, 642068, 642054?\n\"Answer: p**2 - 23*p + 642144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + -43. Let v = -71 - d. Let a be 1 - (-6)\/(1 - 3). Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:44 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.12, -1\/3, 4.1, -2\/161?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 8*j - 3. Let a(u) = -11*u**2 + 17*u - 7. Let f(x) = -6*a(x) + 13*n(x). Let y be f(0). Solve 5*h + 14 = -4*k, -y*h + 4 - 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 1157. Let m(s) = -134*s. Give m(y(a)).\nAnswer: 268*a + 155038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136)\/204)\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 0, a - 16 = -3*a - 2*v. Suppose d = 4*u - 4*d + a, 3*d = 2*u + 4. Suppose u = -2*k, -q + 4*k = 4*q - 83. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 124*u - 71. Let l be a(7). Let w = -480 + l. Suppose -4*s + w = -627. What is s rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46946 divided by -215.\nAnswer: -46946\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/12)\/(3\/6). Let x = 52.1 + -52. Which is the nearest to x? (a) t (b) 1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 1\/22 (c) -0.3 (d) -7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -37230*o + 259858. Calculate t(7).\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 2*s**2 + 3*s + 2. Let c be b(3). Suppose -c*a = -2 - 6. Let r be ((-24)\/52)\/3 - (-4)\/26. Put r, a, -2 in descending order.\nAnswer: a, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1079, -3, 2 in descending order.\nAnswer: 3, 2, 0, -3, -1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3)*2\/4. Let l be 1 + w + 48\/(-2). Is -1 - 2 - (l - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 137?\nAnswer: 3\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1401 from 4.\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*7\/((-21)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 139 + -10 - 55.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhthhhhhhhhthhh?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(539)*2 + 4)**2 + (sqrt(891) + 1 + sqrt(891) + 2)**2).\nAnswer: -11490 - 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.949 plus 0.2?\nAnswer: 1.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 27 = 7. Let v be (-180)\/(-32) - (-24)\/64. Let k be (-1)\/16*(1 + 1). Which is the second biggest value? (a) w (b) -3 (c) v (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172*g**2*s**3 - 57*g**2 + 2*g*s**3 + 44*s**3 - 857*s**2 wrt g.\nAnswer: 344*g*s**3 - 114*g + 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -660, 0 in increasing order.\nAnswer: -660, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5197140 divided by 433095?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090 (base 10) in base 8?\nAnswer: 17632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 2*z. Let b(j) = -4*j**2 - 3*j. Let o(s) = -4*b(s) + 6*u(s). Let r(k) = 3*k**2 - 2*k. Calculate o(r(p)).\nAnswer: -18*p**4 + 24*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -184*i + 7364. Let o be t(40). Suppose 2*k + 2*r = -6, r - 10 = 3*r. Solve -k*s = -o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1627807856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 373 and 913114.\nAnswer: 340591522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + 20. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295127 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e (base 16) to base 12.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - ((-49232)\/(-192))\/17)*(-1296)\/32?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8149 (base 13) in base 5?\nAnswer: -1032211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5613*w**2 - 48*w + 27. Determine z(1).\nAnswer: -5634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y = 5*j - 1, 4 = y + 5*j. Let q = 0.4 + 0.1. Which is the nearest to 2\/13? (a) q (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 5) in base 6?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -968 divided by 5.\nAnswer: -968\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150829 and 812?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -75587?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -420, -1031, -2214, -4149?\nAnswer: -7016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*c**2 + 73*c**2 - 9*c**4 - 20*c**4 wrt c.\nAnswer: -696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48878, -5, 39, 4, -6 in descending order.\nAnswer: 39, 4, -5, -6, -48878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + (-42 - (38 + -41)) - -126.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2351*m = 2*q + 2352*m - 2, -4*q + 2 = -3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 46*p - 1 + 20*p + 24*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4067 times -0.57\nAnswer: 2318.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*11\/((-1584)\/(-40))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 15*b**2 + 10*b + 11. Determine c(14).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 43\/4 of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 2940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 442149978 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -289a3 (base 15) in base 4?\nAnswer: -133311330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 - 4. Determine x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6527, -7563, -8599, -9635, -10671?\n\"Answer: -1036*s - 5491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*o**2 + 13*o**2 + 12*o + 16*o**2 + 71*o**2 wrt o.\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 19*t - 17*t, 0 = -3*v - 2*t + 755. What is the remainder when v is divided by 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -110, 0.1, 11, -3, 0.5, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 2, u: 6, e: 2, k: 4, y: 4}. Give prob of picking 2 n, 1 y, and 1 m.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144217483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123208046 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/2 + f**2\/2 - 13*f - 2. Let k = -486 + 496. Let c(b) = 7*b + 3. Calculate k*o(v) - 4*c(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -94. Sort -1, q, -4 in descending order.\nAnswer: -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 20, 3*m + h - 13 = 1. What is the third derivative of m*d**5 - d**2 + 5*d**2 + 0*d**5 wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50303949\/1280 - 39300. Find the common denominator of -95\/1248 and k.\nAnswer: 49920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2) + -1)\/((-2)\/(-4)). Let n be (-1)\/(1 + k)*440. Suppose 15 = 5*t - n. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 + 0.08704026716\nAnswer: 85.08704026716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - 1) - (-4 - -1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 336696?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 5*s**2 + 40*s**2 - 4*s**2 - 5*s**2 - 9*s**2 - 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 33*x - 56 = 28. Let j(p) be the third derivative of -10*p**x + 1\/6*p**3 - 1\/8*p**4 + 0*p + 0. Give j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 835 - 847. Which is the smallest value? (a) -1\/6 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -7. Suppose 144*y - 137*y = 1442. Let k = -184 + y. Calculate the highest common divisor of s and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:10 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1339, 1035, 531, -173, -1077?\n\"Answer: -100*m**2 - 4*m + 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -17*v + 183. Let u be j(11). Let p = -6 - -1. Which is the second smallest value? (a) p (b) 2\/11 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 152, 219, 270, 299, 300, 267, 194?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 0.036\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103359 is divided by 321.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1391229, -1391109, -1390989, -1390869, -1390749, -1390629?\n\"Answer: 120*d - 1391349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -116 (c) -0.2 (d) -2\/13 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101011221 (base 3) to base 6\nAnswer: -54211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jirnrj. Give prob of sequence rij.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -745393680 divided by -72\nAnswer: 10352690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - 4 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 97932102 - 97932096 + 5*y.\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7313 + 7023. Which is the fourth biggest value? (a) u (b) 5 (c) 2\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6955.10052053 - -6955.1. What is l rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145201 is divided by 2416?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(336)*2)\/(5*(sqrt(363)*3 + sqrt(363))))**2*5.\nAnswer: -448\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 1\/20 (c) 0.3 (d) 0.5 (e) 0.4 (f) -2.3587\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3 - 9*b**2\/2 + 50*b - 4125. Calculate h(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -20*q**5 - 228152*q**4 - 224634976*q**3 + 2429914490816*q**2 - 2269273684262208*q + 907320701768832 = 0.\nAnswer: -7186, 2\/5, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-6510)\/(-75))\/(-31))\/((-7)\/(-140))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a = 46*a + 144 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 3\/2 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7230)\/(-225) - (-4)\/(-30). Let s = a - 33. Let h = 0.03 + 0.27. Is h != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1115925686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273440*d**3*h**3*r**2 - d**3*r**3 + d**2*h**2*r**2 - d*h**2*r**3 + 2*d*h**2*r**2 + 97*d*h**2 + 2*h**3*r - 7*r**3 wrt d.\nAnswer: 1640640*h**3*r**2 - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 25*h**5 - 2*h**2 + 35*h. Let f(o) = 25*o**5 - 3*o**2 + 35*o. Let c(u) = 2*f(u) - 3*y(u). What is the second derivative of c(a) wrt a?\nAnswer: -500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 1. Let j be m(2). Let y(r) = 3 + 7 - 3*r + 6. Let q be y(4). Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 880*p**2. Let z(l) = 13*l. What is d(z(g))?\nAnswer: 148720*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 46*y**3 + 2*y**2 - 2*y + 4. Let d(l) = -185*l**3 - 9*l**2 + 9*l - 18. Determine 2*d(g) + 9*i(g).\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*z + 249, 4*y - 307 = -z - 0*z. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -75, -0.1, -2\/5, 2\/31 in ascending order.\nAnswer: -75, -0.8, -2\/5, -0.1, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13888296 a multiple of 1937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -2 - (-8 - (-25 + -32)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -993 - -1455. Factor 928*f + 4*f**2 + f**3 - 465*f - h*f - 6.\nAnswer: (f - 1)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:13 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 + -220. Which is the third biggest value? (a) s (b) 0.2 (c) -5 (d) 2\/5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-3\/2)*y\/(y\/(y*y**(-9\/2)*y))*(y\/(y**(-4\/7)\/y))\/(y\/(y*y**(-2\/3))) assuming y is positive.\nAnswer: y**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**22\/c)\/c)\/(c\/(c\/(c\/(c**7\/c)))) assuming c is positive.\nAnswer: c**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18946066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023\/5 less than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 8*q + 12 = 0. Suppose -q = 3*v - 5*v. Suppose v*g - 176 = 5*k, 3*g + 0*g + k = 152. What is the highest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 10789*f - 843088. What is t(76)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 466636686 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3700*z + 0 - 24*z**3 - 3702*z - 2 + 2.\nAnswer: -24*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -117 and 37.97733.\nAnswer: -79.02267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = 17, 0 = p - 2*v - 14267. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29317*x**2 - 5*x**3 + 29317*x**2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {a: 2, n: 3, w: 10}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6494 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97813.62 + -441699.\nAnswer: -539512.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 10\/3. What is the second smallest value in -1\/2, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 618, 612, 600, 582, 558?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -410080*o**2 + 2067060*o - 2?\nAnswer: -820160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) 2\/11 (c) 0 (d) 1588 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9889871 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593175.2 seconds in hours?\nAnswer: 1275.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2\/(a\/(a*a**(-2\/9)\/a*a)))\/(a**2)**(1\/2))**(2\/77) assuming a is positive.\nAnswer: a**(2\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207\/((-78)\/(-126) + (-4)\/14).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52 and 1.3?\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176*d**2 + 3 - 3 + 1138*d**2.\nAnswer: -38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (378\/(-156))\/7. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 0 - 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r. Let c be (8\/3)\/(0 - 4\/(-6)). Let z(x) = 4*x + 2. What is c*u(h) - z(h)?\nAnswer: 4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l**2 - 55*l**2 + 109*l**2 + 2*l + 186.\nAnswer: -l**2 + 2*l + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 + 35*q**2 + 21*q + 13. What is the least common multiple of k(-11) and 2094?\nAnswer: 8376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6280*i - 6075. Calculate p(1).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/70 + 17*a**4\/24 - 671*a**3\/6 + 395*a**2 - a. Differentiate s(b) wrt b.\nAnswer: -12*b**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(13) + (sqrt(13) - -1*sqrt(13)) + sqrt(13)) + -5)**2.\nAnswer: 192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + -2*sqrt(343)*-4 + 5)**2.\nAnswer: 630*sqrt(7) + 27808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - (-7158)\/252) + 6\/63 and -73\/68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 - 1\/(-2)*8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14879 - 3?\nAnswer: 14876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 690 and 8970.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(8\/7))\/w**(1\/9)*w*w*((w**(-12)\/w)\/w)\/w*w*(w\/(w\/(w*w*w**27\/w*w)))\/w)**(-11\/2) assuming w is positive.\nAnswer: w**(-5456\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 - 30*d**2*m**3 + 2*d*m**3 + 17*d*m**2 - m**3 wrt d?\nAnswer: -6*d - 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 0*n + n**2 + (-116 + 162 - 96 - 2*n)*(3*n - 4*n - 2*n) in the form s + o*n**2 + z*n and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -4 + (86 - 86). What is the closest to 0.2 in 0.5, -71, -0.2, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811?\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = 3*i + 99. Suppose -142 = -10*d + i. Is 28 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 23, 1, 4, 0, 273 in decreasing order.\nAnswer: 273, 23, 13, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15b44 (base 12) to base 9\nAnswer: -46477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/21 (c) -15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:58 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 776297199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - (22 + (-4 - (-9 - -16)))) + (-26 - -38)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 19.3. Let t = -3.1 - o. Let r = t - 0.2. Which is the second biggest value? (a) r (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*v**2 + 3*v**3 + 11*v**3 - 19*v**2 wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 39. Calculate the remainder when (-1 + 106)*(-4)\/h is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -28819.\nAnswer: 115276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Let b = -4613 + 4608. Is b < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 44182*f + 44184.\nAnswer: -2*(f - 22092)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -962468*a**2 + 5*a - 27754 wrt a?\nAnswer: -1924936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from ahwaapwawkwwwwwpkwp.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -717*x**4 - 4359*x**2.\nAnswer: -17208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58098 by -842.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -22 + 4 + 3 + -9 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**3 - f. Let w = -6 - -6. Suppose 2*v + 4*u = 28, 4*u - 20 = -w. Let t be 8 + -8 + v + -3. Give s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 880 - 834. Sort b, -5, -1 in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-10 - (-14 + 7 + 6 + (55 - 8)))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.18922 to one decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684232113?\nAnswer: 3, 67, 139, 163, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + -14831435.\nAnswer: -14831432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -6. Suppose a - 7 = -l*x + 4*x, 2*a - 2*x = 2. Let g(c) = c**2 - 3*c. Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 680?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 257 + 593 = -4*g, -114*g + 0*a + 386 = -4*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d + 13. Let s(m) be the second derivative of m**3\/2 + 3*m**2\/2 - 22*m. What is -9*s(g) + 2*x(g)?\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (2 - 2) + -6 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 28 = 259. Let c = 292 - o. Solve -5*a - l + c = 4*l, 0 = 2*a - 4*l - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-6)\/(-9)*(-1)\/(-2). What is the closest to 0.2 in 3\/5, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + s**3 - s**2 + 7*s**3 + 24 - 5 in the form g*s**2 + j*s**3 + q + l*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 4, 0.2, 1\/6, -1\/9 in ascending order.\nAnswer: -45, -1\/9, 1\/6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 5435 = 5231 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4423473390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 113.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -1461\nAnswer: 2\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z. Let b(d) = 11*d - 194. What is b(i) + 6*k(i)?\nAnswer: -i - 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1786 and 145559.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*f + 1617*f**2 + 1279*f + 1275*f - 3826*f.\nAnswer: 1617*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13214560 - -1?\nAnswer: 13214561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m\/(m*m**(-3)*m)*m)\/m*m)**(9\/7) assuming m is positive.\nAnswer: m**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + -1 + (sqrt(112) - sqrt(112)*4) + -4 + -3))**2.\nAnswer: 1944*sqrt(7) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -5, 0.09, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 317576 and 136528?\nAnswer: 14608496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*c - 240. Is 61 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-3)\/(-11) + (-2737)\/19635. Let a(l) be the first derivative of -1\/3*l**2 + g*l**5 + 0*l - 2\/9*l**3 + 1\/6*l**4 + 18. Find d, given that a(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let d = 2 + w. Which is the smallest value? (a) 6\/7 (b) d (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - 3*p**3)*(12 + p - 12).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6*n = 3*n + 101, -5*z + 125 = -5*n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b + 4*h + 47, -3*h = 21. Calculate the smallest common multiple of b and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2 + 0 + 2*n - 1 + 3. What are the prime factors of f(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/1459? (a) -6 (b) -12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2208 and 1196?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22297 - 156083\/7. Let m = 0 - -2. Let y be ((-2)\/12)\/(m\/8). Which is the second smallest value? (a) y (b) o (c) -0.4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68640)\/832)\/((-10)\/4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*q**2 + 3*q + 4*q - 21*q**2 - 3 + 2*q**4 - 2*q to b*q + s*q**3 + i*q**2 + g*q**4 + p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 157, 480, 1107, 2140, 3681, 5832, 8695?\nAnswer: 12372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 3*i + 1. Let k be j(-3). Which is greater: 11 or k?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/300)\/((-104)\/(-120) + 8\/(-12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 3*c + 3. Let l(a) = -5*a + 4*a + 1 - 6*a - 2 + 4*a**2 - 6. Let k = 14 + -21. Calculate k*b(v) - 3*l(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*u - 234 + 115 + 119 to the form c*u + t and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovsosv. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000951758031 to 7 dps.\nAnswer: -0.0000952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = n - 17, 2*h - 32 = -5*n. Find the common denominator of n\/44 + (-1 - (-3114)\/(-2244)) and 3\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 789936, 789943, 789956, 789975, 790000, 790031?\nAnswer: 790068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 8*k + 3*k - 1.\nAnswer: 14*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(833) + 0)*-2)**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 25*a + 14*a = 0. Solve a = -0*t + 2*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*(-4)\/(-10))\/(4\/(-20)). Calculate the lowest common multiple of 11 and w\/(13\/((-65)\/10)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.46 + 0.46. Let q = 135741521.9999982 - 135741506. Let g = s + q. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 + 416*j**2 + 420*j = 0. Calculate j.\nAnswer: -1, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 878*x - 877*x - 5. Let h = -10 + 21. Solve -31 + h = x*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*x**4 - 33*x**2 wrt x.\nAnswer: -720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73959 is divided by 18237.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -503*i**2 + 24122*i + 937. Determine g(48).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - 2.3. Suppose -2*j + 3 + 3 = -l, -j + 9 = l. Let m = 80 - 79.5. Which is the biggest value? (a) l (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 45 = 4*n. Let g(z) = -z - z - 5 + n. Determine g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 265542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + 3*r**2)*(13 - 25 - 14) + (17 - 53 + 216)*(1 - 2*r - 1)*(0 + 0 + 2*r).\nAnswer: -746*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*h - 2, 5*b - h - 13 = h. Suppose 0 = 3*a + 2*a - 55. Let y = a + -10. What is the lowest common multiple of y and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2925851, 2925836, 2925821?\nAnswer: 2925806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 5*g - 11*l, -4*l - 14 - 15 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6159.629 to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/1064)\/(48\/(-2912)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*x**3 + 3376*b*x**2 + 19*b*x - 3*b - 3316074*x**3 with respect to b.\nAnswer: -2*x**3 + 3376*x**2 + 19*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -32\/32278031 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343868.\nAnswer: 2, 7, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5076\/7*d - 5072\/7*d**2 - 4\/7 = 0?\nAnswer: -1, -1\/1268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -256647 - -256641.26492. Let o = -5.73 - z. What is o rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 8 = 5*h. Let w be ((-16)\/h)\/((-2)\/(-25)). Suppose -v + 20 = 5*n, -w = -5*n - 2*v - 2*v. Which is greater: 9 or n?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6*(-6*2 - 0). Let k(s) = 14 - q - 8 + s**2. Let y(z) = 2*z**2. Give -8*k(d) + 5*y(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**8\/6720 - v**7\/1680 + v**6\/1440 + v**3\/6 - 5*v. Let n(f) be the second derivative of a(f). Suppose n(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 minutes after 6:45 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 15, 8, -1, -12, -25, -40?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**33\/o**(3\/8))**(-2\/55) assuming o is positive.\nAnswer: o**(-261\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 5, x: 1, h: 1}. Give prob of sequence ha.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 - -1283\/6. Let j(a) be the first derivative of 2\/3*a - 2 + q*a**2 - 7\/9*a**3. Let j(d) = 0. What is d?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 11:55 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/7)\/((12\/(-60))\/(((-126)\/15)\/(-6)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*o + 15. Suppose 5*c + 9 + o = 0. What is the tens digit of (17\/2)\/(c\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5175 divided by -15\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -16*t**2 + 3*t + 1. Let x be h(-2). Let c = x - -111. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*j**2 + 103*j**2 - 2 - 249*j**2 - 142*j**2 in the form r*j**2 + x + p*j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7770 is divided by 277?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171236, -171234, -171232?\nAnswer: -171230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 217\/3. Let s be (2\/2)\/((-52)\/8). Which is the second biggest value? (a) -1\/7 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-8 + 1 + 3). Let q(h) = 5*h**2 + 0*h + 2*h**3 + h**s + h. Let p(u) = -2*u**3 - 5*u**2 - u. Give -4*p(y) - 3*q(y).\nAnswer: 2*y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12166)\/17556 + (1\/(-7) - 51\/(-63)).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -624, -1254, -1884?\nAnswer: -2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + (sqrt(363)*-1)**2 + 1 + -2 + -2.\nAnswer: 11*sqrt(3) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 231*c**2 - 1571*c - 26. Give j(-7).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121740956923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(1\/6)))**17\/(k**(-3\/4)*k*k\/(k*k**(-12))*k) assuming k is positive.\nAnswer: k**(-329\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50576302*-5.\nAnswer: 252881510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbgbgbxgpbptb. What is prob of picking 2 p, 1 g, and 1 x?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/2 - 5*a**4\/2 + 4*a**3 - 2*a**2 = 0 for a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*q = 151*q + 5208. Is q at least -433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*h - 6, -3*h = -6*y + y - 18. Let a(f) = -f**2 - 4*f - 1. Let d be a(y). Let c(i) = -3*i**d + i**2 + i**2. Let k(r) = r. Calculate c(k(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (-98)\/(-6) + (-2)\/6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.62354 rounded to one dp?\nAnswer: 522.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -5. What is the tens digit of (-3 + -1 + 2)*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7980\/156 + (-3)\/(-1 - 38)*-2. Let l = -2 - -2. Suppose l*n = -3*n + 102. Calculate the greatest common divisor of n and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971142518 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 11660 = -9*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by -361.\nAnswer: 249\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.81 + -0.19. Let y = m + 3. Which is the third smallest value? (a) -5 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4441\/2 - -2219. What is the closest to 3 in a, -0.3, -14, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhlhkhkk. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i*(i**(4\/3)*i*i)\/i*i*i)**(-11) assuming i is positive.\nAnswer: i**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*u + 40 = 0, -2*u = -3*w - 2*w - 100. Suppose 0 = -4*z, x + 4*z = -152 - 503. Let q = w - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 5. Let r = m - 7. Let q(j) = 5*j**2 + 5*j + 3. Is q(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 6)\/(2\/(-2)). Let s = -3 + 5. Which is the closest to g? (a) -4 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2784 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j**3 + 5*j**2 + 5*j + 8. Determine a(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -674, 210, 0.5 in descending order.\nAnswer: 210, 0.5, -674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*o**4 - 5*c*o - 100*c + 11*o**2 wrt o?\nAnswer: -8*c*o**3 - 5*c + 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = 57*q - 52*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*k**2 - 16*k**2 - 4*k**3)*(-13*k + 0*k - 14*k) to the form l*k**4 + g*k**2 + t*k**3 + m*k + y and give l.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5847*z**4 - 8385 wrt z?\nAnswer: -23388*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**0\/b)\/b))\/(b\/b**0)*(b\/(b*b**(2\/17)))\/b**(-2) assuming b is positive.\nAnswer: b**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5\/2 - 193*d**4\/2 + 2247*d**3\/2 + 581*d**2\/2 - 3173*d - 2244 = 0.\nAnswer: -204, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 3*l + 3. Let p be k(2). Suppose -3 = -x - 5*r + 39, -x + p*r = -92. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 75*s**2 - 190*s - 720.\nAnswer: -5*(s - 9)*(s - 8)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -117 - -32a?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1061*z + 119 + 142 + 1010*z. Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9\/16 + 13\/16. Let r = -1.1 + -3.8. Let m = r + 5. What is the third biggest value in b, 5, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-36)\/(-8)) - -2. Let l(w) = -w + 4. Let a be l(i). Solve 3*q = d - a, q = -d + 3*d - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*r + 125, 2*r + 8*g = 6*g + 100. Solve 13*q - r = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-305)\/(-30) - 6 - 2\/12. Suppose 0 = q - 3*g - 15 - 12, -81 = -3*q + 4*g. Suppose -3*h + q = -y - f, 4*y = 2*h - 24. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 693 - 1216. Let a = x - -534. Solve -p + 6 - 1 = 0, -2*p + a = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22445405 (base 6) to base 11\nAnswer: -431a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 197314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21100 - 1?\nAnswer: 21033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089297 is divided by 358.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + (-10)\/(650\/665). Suppose -2*m + 13 = 3. Which is the closest to -2? (a) 0.2 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 3464?\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*i + 10 = 0. Suppose 15 = i*z - 39. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d - 22*d - 12*d + 56*d. Let y(x) = -x. Determine f(y(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -954 - -966. Solve -a = -x - 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymp when three letters picked without replacement from {p: 1, y: 4, b: 2, m: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -260 in 30, -11, 68?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/12 - k**3\/6 + 1959*k. Let z(h) = h**2 + 3*h. Calculate -4*m(r) - z(r).\nAnswer: 3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144234640*g**6 + g**2 - 7820076*g - 2 wrt g?\nAnswer: 17308156800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*h**3 + 3*h**3 + 28*h**3 + (-4 + 0 + 2)*(-5*h**3 + 5*h**3 - h**3))*(3*h - 2*h + 2*h) in the form m*h**3 + f*h**4 + a + k*h**2 + l*h and give f.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4) + (-3 - (0 - 11)) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/4 - 5*x**3\/3 + 3*x**2 - 3*x + 1. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 12. Suppose 0 = -4*k - n - 26, 2*k - 9*n = -12*n - 8. Give o(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46611143, 93222283, 139833423?\nAnswer: 186444563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6259*g + 6232*g + 10935 = 0. Solve -7*l + g - 412 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, 3, 9, 82 in decreasing order.\nAnswer: 82, 9, 5, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68851702331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196695873.\nAnswer: 3, 11, 563, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n*n*n**15)\/(n\/n**7*n*n**18) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1999*o**2 + 6*o - 13. Let m(h) = 1999*h**2 - 5*h + 12. Let s(v) = 7*m(v) + 6*z(v). Let p be s(3). Round p to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70323 is divided by 104?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -445\/6 - -74. Let c = -0.004 - 0.296. Put n, 2, c in decreasing order.\nAnswer: 2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**21*g**(-3\/5)\/(g*g\/(g\/(g\/(g*g\/(g*g**(-3)))))))**(-7\/4))**(6\/25) assuming g is positive.\nAnswer: g**(-1176\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 3377 from -0.06.\nAnswer: -3377.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.1325\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 219 = -4*t. Let k = -40 - t. Suppose -3*j = -b + 3, j + 3 = b - 0. Calculate the highest common factor of b and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1375 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -19*s + 6*s + 42*s - 5*s. Calculate x(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -2*z. Let t = -110 - -142. Let d = 37 - t. Solve z*p + d = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + -135. Let a = 198 + o. Suppose 0 = x - 55 - 14. Calculate the remainder when x is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -1454, 2\/17, -2\/13, 0.1, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -86, -105, -142, -203?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -122, 66, 444, 1072, 2010, 3318, 5056?\nAnswer: 7284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllylylllllll. What is prob of sequence lyly?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 30\/13 (c) 11 (d) -1762 (e) -4 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 1005, 2252, 3995, 6234, 8969?\nAnswer: 12200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(12))\/sqrt(6).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 25*j + 11384. Let u(b) = -3*b - 1423. Let a(h) = 6*d(h) + 51*u(h). Let c be a(0). Let g = 17165\/4 + c. Find the common denominator of g and 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -68.1. Let k = 6267 + -6197.971. Let c = z - k. Round c to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let r be (-174)\/(-30) + 1\/o. Suppose 3*l + d = 20, 0 = 3*d - r*d - 3. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (21 + -63 + -13 + 12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 0*r - 2*r = 3*r - 45, 21*r = 38*r - 13*r for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d + 5. Let t = 147 - 143. Let r(z) = -5*z + 8. Let c(v) = t*r(v) - 7*y(v). Let l(h) = -2*h + 5. Calculate 5*c(p) + 3*l(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 116*p**2 + 58*p + 6586. What is c(115)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1, 4, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 837*s**3 - 189*s**2 + 189*s + 189. Let y(a) = 167*a**3 + 5 - 5*a**2 + 656*a - 84*a**3 - 61*a**3 - 651*a. Determine -5*f(h) + 189*y(h).\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 1 - 1)*(-49 + 49 + 7*a + (1 - 2 - 1)*(1 + 2*a - 1) - 1 + a + 1).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -28*u - 4 + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 88.8. Sort -2\/3, f, -2\/7, 1\/4.\nAnswer: -2\/3, -2\/7, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 0. Suppose o - 9 = -3*k + 3*o, -8 = -4*k + 4*o. Let x = 3 + k. Calculate the lowest common multiple of z and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 1 + 32 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/7 + 12381*z**4\/7 + 18465408*z**3\/7 - 2172346991*z**2\/7 + 153188100*z + 154507500 = 0. Calculate z.\nAnswer: -3150, -1\/2, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -12360.\nAnswer: -135960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1158 (b) -0.4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 28 = b - 4*g, -5*b - 2*g - 38 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -429?\nAnswer: 428.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 - n + 1. Let m be i(1). Solve -w - m*w + 35 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 6*o + o**3 - 133 + 0*o as i*o + l*o**3 + f + j*o**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42666 and 624?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:10 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = 5*r, 3*r + 2*z - 4 = 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**3 - 2*v**2 - 2*v - 1. Suppose 88*i + 198 = -36*i - 50. What is a(i)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 37 - 73 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10368 (base 10) in base 3?\nAnswer: 112020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6569 - 15776 - 1862 - 14766 - 16980 + 5026)*(2*g - g + 0*g) as m*g + l and give m.\nAnswer: -37789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97899363.\nAnswer: 3, 881, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4968072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 7000. What is u rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.08 (c) -287\/12 (d) 2 (e) 1\/7 (f) 4 (g) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {l: 6, w: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (864\/(-294))\/12*910\/195\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 - 12055*p + 145323025\/2 = 0. What is p?\nAnswer: 12055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2162594.3 * 3\nAnswer: 6487782.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1056960818 + -1056960794.99999948. Let p = z - 23. What is p rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -445*x**3 - 2240*x + 2*x**4 + 33*x**4 - 63 - 737 + 1830*x**2.\nAnswer: 5*(x - 5)*(x - 4)**2*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49 - -50)\/(0 - (-1)\/4). Let r(v) = v - 2. Give r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + f + 3404 - 3398, -17*l + 2*f - 83 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0.04 in decreasing order.\nAnswer: 0.04, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q. Let a(c) = c**2 - c + 1. Let h(b) = -b**2 + 7*b - 1. Let x be h(6). Let z(g) = 2*g**2 - g + 1. Let j(s) = x*z(s) - 5*a(s). Determine o(j(y)).\nAnswer: 65*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/((2\/(-8))\/1). Suppose -12 = 4*x - 7*x. Suppose 7*q - 2*q - x*b - 24 = 0, 2*b = -5*q + 48. Calculate the highest common factor of k and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/15)\/((-38)\/(-284)). Let b = k + 3167\/342. What is the common denominator of b and -67\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciiiccicii. Give prob of sequence ci.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.2 (c) 14\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/6105 and -127\/2019534?\nAnswer: 10097670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 18*m**2 - 29*m + 53. Let p be n(-16). Suppose 5*r = 2*r + 9, -p*r + 14636 = w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1252 - 19*j - 13*j - 4*j**2 - 12*j + 46*j as z + r*j + k*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(2) + (sqrt(242)*1 - sqrt(242)) + sqrt(2))*1)**2 + (sqrt(288) + 2)**2 + 1.\nAnswer: 48*sqrt(2) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t + 56. Determine k(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101010110110 (base 3) in base 11?\nAnswer: -792377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -17*j + 9*j. What is the remainder when j is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f**3 - 3*f + 0*f - 2628*f**3.\nAnswer: -2673*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -298.711399792 and 0.0427.\nAnswer: -298.668699792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*25\/((-900)\/(-8))*(-3)\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s)\/((((s\/(s**(1\/5)*s))\/s)\/s)\/s*s)*(s**2\/s)**22*((((s*s\/(s\/(s*s**(-5\/3))))\/s)\/s)\/(s*s**14))**27 assuming s is positive.\nAnswer: s**(-8511\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) 0.4 (c) -0.5 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908127603 to the power of 1\/3, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**7\/70 - 3*w**6\/50 - 3*w**5\/50 + w**4\/10 + 3*w**3\/10 + 3*w**2\/10 - 9*w. Let j(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462725 divided by 2075?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/((-585)\/(-25)))\/(20\/(-8)))\/(8\/(-6)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4987 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -3*q**5\/5 - q**3\/3 - 6. Find the third derivative of z(f) wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 - 175. Suppose -7*b + w = -47. What is the highest common divisor of 196 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.058.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 358, 402, 446, 490, 534?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/106792844 and -87\/10.\nAnswer: 533964220","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -1\/3 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16, c - 2*c - q + 1 = 0. Suppose -s - 24 = -4*r, 4*r - c*s = -s + 12. Suppose -5*t = -i - 30 - 11, -r = t - 4*i. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 1 - -5 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2864016489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -609 + -58.1. Let f = b + 627. Let q = -35 - f. Round q to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:11 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhhrhhrrh. Give prob of picking 3 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x - 4*x + (2*x + 1 - 1)*(0 - 1 + 2) - 3*x - 2 + 2)*(20*x**3 + 14*x**3 + 5*x**3).\nAnswer: -117*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/890 and -13\/267?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/((-5130)\/(-126))*2\/35.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 22 = -4*s + 51, -5*v - 19 = -3*s. Let n(z) = -3*z**3 + z**2 - 1. Let u be n(-1). Solve -u*d - s = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15320, -15319, -15318, -15317, -15316?\n\"Answer: j - 15321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 26075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {z: 1, g: 1, f: 1, k: 1, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153 - 5*u**2 + 153 - u**3 to p*u + x + m*u**2 + y*u**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 17417 - 5807 - 5803 + 5*v**2 - 5807. Let m(d) = d**2 - d + 1. Let h(k) = 10*k**2 - 12*k + 12. Let l(i) = h(i) - 12*m(i). Determine b(l(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*p - 10*p**2 - 421*p.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82688 by -4.\nAnswer: -20672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302 - 297. Factor 1\/3*d**y - 2\/3*d**3 - 1\/3 + 1\/3*d - 1\/3*d**4 + 2\/3*d**2.\nAnswer: (d - 1)**3*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3022893169 + -3022893145.10000153. Let g = z + -23.9. Round g to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeekmmcmmeccekkm. What is prob of sequence kmm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/95 - -2\/19. Let y = 2 + -6. Let i = -4 + 3.5. Which is the second smallest value? (a) i (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2 - 6*s**3 + 18*s**3 + 14 - 2 + 4 wrt s.\nAnswer: 36*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c. Let x(g) = -3*g - 2*g**2 + g + 7*g + g**2. Let z(y) = -y. Let u = 4 - 9. Let w(v) = u*z(v) - x(v). Calculate o(w(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*l + 49*h**4 + 5636*h**3*l - 16*h**3 - h**2*l - 2347374*h*l - 2*h wrt h?\nAnswer: 24*h*l + 1176*h + 33816*l - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3725, -4041, -4373, -4727, -5109, -5525, -5981, -6483?\n\"Answer: -j**3 - 2*j**2 - 303*j - 3419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/13 - 70*l**4\/13 - 82*l**3\/13 + 366*l**2\/13 - 216*l\/13 = 0. What is l?\nAnswer: -3, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574380811 to the nearest integer?\nAnswer: 23966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 154 = -2*j, -2*j = -u + 3*u - 150. Calculate the remainder when j is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -3. Let l = -1.7 - i. What is the biggest value in -4, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -35*b + 3. Let z be t(-30). Calculate the greatest common divisor of z and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 791 and 5.\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2175255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -97.7 in ascending order.\nAnswer: -97.7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-6\/7))\/b*b\/(b**10\/b))\/((b\/(b\/(b*b**5)))\/((b**(-5\/7)\/b*b)\/b)))**(-1\/9) assuming b is positive.\nAnswer: b**(104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 325*z**3 - 1277*z + 1985. Find the first derivative of w(o) wrt o.\nAnswer: 1950*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -127.1. Which is the closest to 2? (a) -2 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58818*q + 19520*q + 19506*q + 19804*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 - -2999. Calculate the greatest common divisor of k and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239\/20 - 81\/4. Find the common denominator of -125\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90537687 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 560 + -558. Let n be (2\/4)\/((-18)\/8). Which is the third smallest value? (a) -2\/5 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 2*c**2 + c + 1. Let x be w(2). Suppose -x*u + 28 = -26. Let m = u + -9. Solve -5*j + 2*j = m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 24*d + 72. Let u(g) = 3*g**2 + 48*g - 144. Let r(o) = 7*i(o) + 4*u(o). Factor r(v).\nAnswer: -2*(v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*75\/18*(11045\/25 - 5). What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 - -100. Let h = -68.98 - k. Round h to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(13)) + -2 - (sqrt(1053) + sqrt(1053) + sqrt(1053) + -2 + -2))**2.\nAnswer: 100*sqrt(13) + 8129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*d - 138 + 13, 2*d + 4*m + 80 = 0. Suppose -13*b + 3*b = 55*b + 7670. Let c = d - b. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g = 58*g + 2. Factor 3*m**2 - 10*m**4 - 15*m**2 + 15*m**3 + 7*m**g.\nAnswer: -5*m**2*(m - 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*k + 4*d, -54 = -5*k - d + 20. Let j = k + -7. Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*p - 62*p + 974*p - 38*p - 204*p.\nAnswer: 1281*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -316276, -632550, -948824, -1265098, -1581372?\n\"Answer: -316274*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -5*q + 4*n, 4*q = n - 13 + 255. Let g = -36 - -60. Calculate the highest common divisor of g and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 95*g - 98*g - 1251 = 0, b + 417 = -5*g. Is b at most as big as -417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 24*d - 24. Is 20 a factor of h(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 787 divide 22609509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u**4 - 5*u**3 - 6*u - 10. Let a(d) = -8*d**4 - 3*d**3 - 3*d - 6. Let l(r) = 5*a(r) - 3*p(r). What is the second derivative of l(c) wrt c?\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 - 49. What is the remainder when (-258)\/(-731) - 3*(-10177)\/51 is divided by j?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 555 and 2953913130.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -a829a (base 11) to base 7\nAnswer: -1223630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -3*u**5\/100 - u**4\/10 + 15*u + 5. Solve k(n) = 0 for n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 71 + 71)*(11 + 4 - 11).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18631 and 140461.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32781, 65561, 98341?\nAnswer: 131121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 26*o - 153. Calculate v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, 183244 in descending order.\nAnswer: 183244, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/13 (c) 0.085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + e?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069208427 rounded to four decimal places?\nAnswer: -0.0692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 1. Suppose -213 = 36*o - 105. Let k(n) = -4*n - 2. What is o*v(s) + k(s)?\nAnswer: -7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 7, 23, 53, 103, 179, 287?\n\"Answer: t**3 - 2*t**2 + 7*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*p = 10, 13*g = 15*g - 2*p + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*p + 7676*p**2 + 25*p - p**3 + 39*p + 29*p - 124*p as z*p**3 + d*p + m*p**2 + w and give m.\nAnswer: 7676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3297, -13125, -29411, -52077, -81045, -116237?\n\"Answer: 13*m**3 - 3307*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from fhpkbpmkbbkppb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9865, 10648, 11951, 13774?\nAnswer: 16117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 - 78*w + 3. Let k be p(0). Which is the third smallest value? (a) 169 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.222 + 0.058. Let p = -7.22 + l. Let g = p - 0.06. Which is the second smallest value? (a) 2\/21 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023266 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 18 = v + 3*j, 0 = 4*j. Suppose v + 4 = 2*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**5 - 3*f + 0*f**2 + 1\/30*f**6 + 1\/2*f**3 + 0*f**4 + 0. What is the second derivative of h(y) wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 25*v + 42)*(6*v - 11*v - 1 + 7*v).\nAnswer: -50*v**2 + 25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 2*d**3 + 0*d**3 - 6*d**3 + 3*d**3 + d**3 + (249*d**2 - 108*d**2 - 105*d**2)*(-5*d + 4*d - d).\nAnswer: -76*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 12*y**2 + 15*y + 43. Calculate the remainder when 20 is divided by t(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iittiitititi. What is prob of picking 3 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24436 = -10*s - 22*s + 24404. Let w be (2\/3)\/(1\/24). Put 3, 1, w, s in ascending order.\nAnswer: s, 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 56 + 44. Is ((-860)\/v)\/((-1)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14 = -s. Is s less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2 - 2*r + 4. Let l be (-116)\/(-30) + (56\/(-60))\/(-7). Determine p(l).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16831.674 months in years?\nAnswer: 1402.6395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*n - 48*n + 146*n + 101*n + (-11 - 10 - 8)*(0*n - 4*n + 3*n) - 1 - 2*n + 1.\nAnswer: 264*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18285 + -0.4.\nAnswer: -18285.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**3 - 6*w**2 - w - 6. Calculate the smallest common multiple of y(-2) and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -129*f + 1141. Give x(-12).\nAnswer: 2689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 1, 0, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 51 = 3*h, -6*i + 3*i + 56 = 4*h. Let a(r) = -r**2 + 6*r - 3. What is the smallest common multiple of a(3) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + l + (4 - 3 - 4)*(0*l + 4*l - 2*l))*(0*l + 3*l + 2*l) - 3*l**2 + l**2 - l**2 + (-2*l**2 + 6*l**2 - l**2)*(1 + 0 - 2).\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 31\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1521\/(-117)*1296\/(-28). Which is smaller: g or 603?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.81 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**6\/360 - t**4\/3 + 8*t**3\/3 + 5. Let s(m) be the third derivative of x(m). Differentiate s(b) with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f - 1. Suppose -2*b + 0 = 3*w - 1, -3*b - 3 = 0. Let c(p) = 14*p**3 + 5*p**2 + 8*p + 10. Let g(k) = w*c(k) + 4*r(k). Is g(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -4) + (-1 - -7) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 161, 220, 261, 278, 265, 216, 125?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 - 4*j**3 - 20*j**2 + 20*j**2.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, 3, 98, 195, 294?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 675 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14*(-2 - -3). Let o = m - 183\/28. Find the common denominator of o and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1732712 and 826.\nAnswer: 12128984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**3 - 4*b**2. Let y(z) = z**2. Let k be (-2)\/(-4)*(-224 - -222). Let r be ((-8)\/10)\/(1\/5). Calculate k*u(f) + r*y(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -25322323?\nAnswer: -25322325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 23*p**2 + 52*p + 19. Let h be s(25). Find the third derivative of 2*o**5 + h*o**2 + 107*o**2 - 111*o**2 + 4*o**4 wrt o.\nAnswer: 120*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/6)\/((-3)\/(-18)). Let m be 8\/2 + w\/(65\/15). Solve -5*p = -4*z + m, p + 2*p + z = 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 224 + 52 = 0. Let n = l - 23. What is the highest common factor of n and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.171, -172, 2\/7 in increasing order.\nAnswer: -172, 0.171, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 8*f + 6. Calculate z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 24. Let u(c) = -2*c + 48. Let m(z) = z**2 - 31*z - 262. Let s be m(38). Determine s*u(o) + 7*n(o).\nAnswer: -o + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**3 - 3*y + 2*y**2 - y - 10*y**3. Let n be d(4). Let j = -33 - n. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let m = 1 + a. Solve -m*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, 1, -0.3, 0.2, 0.013?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + 130*n + 26. Let i be o(12). Find p, given that 0 + 1\/7*p**5 - 1\/7*p**4 + 1\/7*p**i - 1\/7*p**3 + 0*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2\/4 + 5500*n - 2953155 = 0.\nAnswer: 626, 3774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j - 1. Suppose 0 = i + t, 5*t = -3*i - 8 + 2. Let k(q) = -q**3. Calculate i*l(w) - k(w).\nAnswer: -2*w**3 - 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 2)\/((-1)\/(3 - 1)). Suppose -173 - 115 = -q*v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v = -62*v - 5. Let k(i) = -i**3 - 4*i**2 + 6*i + 7. What is the remainder when k(-5) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + -13 + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1)*a)*a\/(a\/a**0*a))**(-35\/2) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let r(n) = -8*n**2 + 11*n - 11. Let o(y) = y**2 - y + 1. Let b(c) = 22*o(c) + 2*r(c). Determine u(b(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-168)\/540*(-6)\/7. Let r(s) be the second derivative of -2*s + 1\/30*s**4 + t*s**3 + 4\/5*s**2 + 0. Find o, given that r(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/(d*d*d\/((d**(-9)\/d)\/d)*d)*d*d)*d*d**(-9)*d*d**1\/d*d*d*d\/d**5 assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**3\/6 - 3*f. Let j be g(-2). Let p(v) = j + 2*v - 2 - v. Let l(u) = 2*u. Calculate p(l(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1307 + -908. Let v = -221 + g. List the prime factors of v.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*i, -164*t - 2*i + 19 = -167*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.663493 minus 19.9?\nAnswer: -20.563493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194271 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -590*d + 446*d - 262*d + 2*d**3 - 1742*d to c*d + f*d**3 + x*d**2 + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2540242400 rounded to the nearest one million?\nAnswer: -2540000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 0.06\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*n + 24, 0 = j - n - 3*n - 8. Let v = 0 + 0. Let z = -5 + 8. Solve 0 = l - v*y - y + j, -z*y = l - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-52)\/(-6)) - (546\/1365)\/((-429)\/(-539)).\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -44\/203?\nAnswer: -44\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262158149 and 43604?\nAnswer: 10901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -204 (b) -1 (c) 3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 - 15*t**2 + 4993*t - 3 + 3 + 2*t**3.\nAnswer: 2*t**3 + t**2 + 4993*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39817259 divided by -1.\nAnswer: 39817259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1496 and 5.\nAnswer: -7480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/231 - k**6\/33 + k**5\/22 + 5*k**4\/66 - 2*k**3\/11 - 19*k. Let v(s) = 0. What is s?\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 63 = -4*o, 4*o - 60 = 56*l - 60*l. Let -3*r - 8\/5 - 6\/5*r**2 + 1\/5*r**l = 0. What is r?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23622213 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*-1*116544\/33992.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710993 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 199432.061 * 1\nAnswer: 199432.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2\/7 (b) 0.1 (c) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7469640, 7469639, 7469638, 7469637, 7469636?\nAnswer: 7469635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 26. Sort l, -3, -24, 5 in decreasing order.\nAnswer: 5, l, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.5625 rounded to zero dps?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 365.405ug?\nAnswer: 0.000000365405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j**2*n**2 + 5*j**2*n + 9704*j**2 - 40*n**2 - n wrt n.\nAnswer: -8*j**2*n + 5*j**2 - 80*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let a(s) = s + 4. Let i(o) = o**2 + o - 22. Let x be i(4). Let l be a(x). Let y(v) = -2*v + 16*v + 6*v - l*v. Give y(p(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7 + 5)*(-1 + 4 - 5)*(-d + 1 - 1).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18018 and 4341260?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 42. Let b be p(0). Suppose -4*d + 36 = 2*j, -5*j + 3*d - d + b = 0. What is the units digit of (-2 - -4) + (j - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*u - 81*u - 84*u - 85*u + 500*u**2.\nAnswer: 500*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 5*z = -139, -4238*l + 4*z = -4240*l + 110 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/96 and -41\/216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 846, 1806, 3150, 4878, 6990, 9486?\nAnswer: 12366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - 8 - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.6. Let o = -0.6 + f. Let p = o - -1.3. What is the third biggest value in -1\/4, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14652 less than or equal to -14651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let f(q) = -303*q**2. What is r(f(w))?\nAnswer: 303*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 16 + 24. Suppose -f + p = 2. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkkzazkkkkzzza. Give prob of picking 1 k and 2 a.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 26 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5226.53 * -108.\nAnswer: 564465.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 729 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 - 80*k**2\/13 + 250*k\/13 + 12500\/13.\nAnswer: 2*(k - 25)**2*(k + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y. Let t be g(-1). Let s be (-55)\/(-33) - (-2)\/((-300)\/(-11)). Let n = s + -6\/25. Put n, -0.4, 0, t in decreasing order.\nAnswer: n, 0, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5188077?\nAnswer: 3, 17, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:04 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.912 - -1.382. Let r = -0.02 - 0.05. Let p = y + r. Which is smaller: p or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 2*w**2 - 2*w + 1. Let r be o(1). Suppose 0 = s - r - 3. Suppose 0 = -s*y + 3 + 6. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 8*x + 9.\nAnswer: -(x - 9)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.90223 + 10?\nAnswer: 165.90223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -5.965.\nAnswer: 0.5965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 776*q - 70565. Calculate i(242).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5974 - 65818\/11. What is the closest to -0.1 in b, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 8.281743.\nAnswer: 7.881743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/(sqrt(8)\/sqrt(2) + sqrt(4)))\/(sqrt(252) - -3*sqrt(252) - sqrt(252) - sqrt(7)))**2.\nAnswer: 7\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(275) - (sqrt(275) + 2))**2 + -6*(-3*sqrt(275))**2 + -4.\nAnswer: -14878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -29*p + 39. Let h(u) = 11*u - 14. Let i(w) = 8*h(w) + 3*s(w). Determine i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h + 3. Let p(j) = 19*j - 10. Let b(w) = -2*p(w) - 7*u(w). Let l be b(-3). Let o = l + 21. Solve z = -z - o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -30, 0.2, 4\/5 in descending order.\nAnswer: 4\/5, 0.2, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.482800468 rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2\/4 - 21804*h - 158471472 = 0.\nAnswer: -14536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54813 = 12*z + 31400 - 14405. Is -5983 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 - 2*h**2 + h**2)*(-1 + 4 - 2) + 41*h**2 + 3 - 50*h**2 + 0 to the form y + q*h**2 + n*h and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110, -187, -278, -383, -502, -635?\n\"Answer: -7*t**2 - 56*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 5 - 6)*(-41*v**3 - 21*v**3 - 39*v**3) to t*v**2 + y*v**3 + a + s*v and give y.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**2\/2 + 14*w - 2. Suppose -150 = -5*p - 4*o, -3*o - 88 = -3*p - 25. Calculate the remainder when p is divided by m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h + 178 = 27*h. Which is bigger: h or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18*n**2 - 11*n - 15. Let u(z) = 12*z**2 + 7*z + 9. Calculate -5*p(m) - 8*u(m).\nAnswer: -6*m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 3*m, 3 = -2*v + 5*v. Suppose -26*f + 110 = -37*f. Sort 0, m, f in descending order.\nAnswer: 0, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/153 - 12\/255*49300\/136.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/115 or -5?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2 + 11 + 3 + (3 + 0 - 1)*(-2 + 5 - 5))*(0 + 0 + h)*(-2*h + 3*h - 3*h) to c*h + o + w*h**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 + 844*u**3 + 15*u - 149?\nAnswer: 24*u**2 + 5064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-84))\/((630\/(-56))\/(-9)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 933381235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 - 14 = 3*i, 5*i + 10 = 0. Suppose 4*h = m + y, 2*h - 4 = m - 2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {g: 2, i: 2, b: 2, w: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(10)) - sqrt(450) - sqrt(14)\/(sqrt(21)\/(3*sqrt(3))))**2.\nAnswer: 1369\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/140 and ((-3)\/10)\/(174\/(-5075))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 - -143. Suppose 67 = 5*j - b - a, 3*b = -6. What is the greatest common divisor of j and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221180?\nAnswer: 2, 5, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkxd when four letters picked without replacement from {d: 1, k: 2, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011010010011111 (base 2) to base 6.\nAnswer: 21344423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5206123 millennia in years?\nAnswer: 520.6123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {h: 4, s: 6, y: 2, z: 1, t: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137811993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16955 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.25. Let b = -2.05 + c. Let t = b + 2.16. Round t to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 41 = -3*q - 3*j, 0 = 2*q - 2*j + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) - (-2)\/(-4)*9396\/(-1458)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 - 1089*x - 1633016\/3 = 0. Calculate x.\nAnswer: -2651, -616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*m**5 - 244*d**2*m**4 + 11*d**2*m**2 + 6*d**2 wrt m?\nAnswer: -60*d**2*m**2 - 5856*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - 0. Let d = 1344.8499 + 0.1501. Let x = 1348 - d. Which is the second biggest value? (a) x (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 2.4. Let y = -31.597 - v. What is y rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127762413.2088 minus -0.308?\nAnswer: 127762413.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**3 - 958*y**2 + 117078*y\/5 - 112338\/5.\nAnswer: 2*(y - 1)*(5*y - 237)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3\/7 (c) -2\/167 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609671.7ns in seconds?\nAnswer: 0.0006096717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -o, 5*o - 20*p + 18*p = 9. Solve -l = -o*a - 10, -l + 4 = 14*a - 15*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 11:28 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 2\/2 - -3*3\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-4)))\/f*f)**(-13\/4) assuming f is positive.\nAnswer: f**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + g**2 + 2*g - 3. Suppose 5*v + 3*p = -19 - 1, 0 = v + 5*p + 4. Let z(s) = -s**3 + s**2 + s - 2. Determine v*q(a) + 6*z(a).\nAnswer: 2*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/20 + h**4\/4 + 19*h**2. Solve i(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117 and -41.\nAnswer: 4797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4\/7))\/(j*j*j**(-9)\/j))**(3\/41)\/((((j*j**(-2\/3)\/j)\/j)\/j**(1\/3))\/(j**(2\/7))**(-41)) assuming j is positive.\nAnswer: j**(-373\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246441\/7 + 35308. Let m = b + -102. Let h = 1453\/7 - 207. Which is bigger: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 107*z + 837. What is the hundreds digit of q(-72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**3 - 3*r**2 - 2*r - 2. Let n(i) = -13*i**3 - 7*i**2 - 4*i - 4. Give -3*n(h) + 7*z(h).\nAnswer: -3*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -5*z + 16. Is (-7)\/(z\/(-8)) + 48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 676687 - 3?\nAnswer: 676684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319512 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -212 - -223. Let z be (-2)\/(-16) + (-146)\/16. Let m = z + p. Calculate the least common multiple of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:54 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:05 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -65*s - 1. Suppose -3*r = -r - 4, 3*u - 3*r = 0. Let c(g) = 11*g**2 + 15*g**u + 2*g**2 - 26*g**2. Give c(d(p)).\nAnswer: 8450*p**2 + 260*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - b + 36 = 0, -160*g + 38885 = -2*b + 36169 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 9 = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -128, -396, -902, -1718, -2916, -4568, -6746?\n\"Answer: -12*d**3 - 11*d**2 + 15*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 224*n - 223*n. What is the remainder when n is divided by (32\/3*1)\/(2\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13724897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -24*r - 11. Give d(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 + 14977 - 30*o**2 - 29945 + 14968.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 93041 + -26295?\nAnswer: 66746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10861*p**2 + 5297*p**2 + 5404*p**2.\nAnswer: -160*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let f(k) be the first derivative of -8*k**3\/3 + 26. Calculate f(c(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 227607*y - 11380335. Give s(50).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (91\/13)\/((-1)\/15). Let u be y\/28*(-5)\/(-125)*4. Let z = 4.9 + 0.1. Which is the third smallest value? (a) -1\/10 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Suppose -f = 5*i - 4*f + 9, -5*i = 3*f + 21. Let r = i + 3. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/(y*y*y\/y**(-3\/7))*y*y)\/y)\/y*y)**(-5\/2)*y**(19\/3)\/(y**(-33)\/y) assuming y is positive.\nAnswer: y**(1739\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 84 - 13. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1505*x**2 - 2330*x - 1254*x + 326*x + 2114*x**2 - 528*x wrt x?\nAnswer: 7238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-490*m - 454*m + 944*m + 10498*m**4)*(-3 + 1 - 3) to the form o*m**2 + z*m**4 + h*m**3 + w + f*m and give z.\nAnswer: -52490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/6*(-1)\/(-1)*5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17370611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -103 + 229 - 11.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035*i - 72 = 1027*i. Sort -2, -0.04, i, 5 in decreasing order.\nAnswer: i, 5, -0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/125*140*(360\/(-48))\/((-36)\/7)?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 7581350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - (6 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Let d(c) = -2*c - 19. Let g be d(-11). Suppose 0 = -g*t + i + 5, -5*t - 5*i + 26 = -3*t. Let v be w(t). Solve -4 = -v*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavavaavavva. Give prob of sequence vaaa.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let m(x) be the third derivative of 0*x**4 + 0 + 1\/30*x**5 + 0*x - 3*x**2 + 0*x**3. Determine z(m(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {i: 3, f: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 26*i + 16. Let u(s) = -s. Let m(b) = -4*b - 3. Let v(d) = m(d) + u(d). Determine 3*h(t) + 16*v(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.210386 millilitres?\nAnswer: 0.006210386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106\/17, -3\/19, -3 in decreasing order.\nAnswer: 106\/17, -3\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1047*s**3 + 68*s. Let i(g) = -1046*g**3 - 52*g. Calculate -4*i(f) - 3*j(f).\nAnswer: 1043*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 10:26 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 2*z. Let b be (-2 - (7\/(-6) - 1))*6. Let l be p(b). Solve 0 = 4*a - l*d + 6, 0 = 5*d - d - 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -198, -203, -208, -213, -218?\n\"Answer: -5*w - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 21 = -2*m. Let f(s) = s**2 - 5*s + 1. Let v be f(m). Suppose -w = -0*w - v. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 303?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from avvvvaavvas?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 5*i. Let f = -249 + 254. Let s(p) = -2*p**2 - 4*p. Calculate f*s(n) - 4*x(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*m + 766*m + 27 = -7*c - 9, -5*c - 16 = -m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 335402 + -335403.290087. Let c = -1.29 - z. What is c rounded to 6 decimal places?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -8. Is 9 a factor of 37 - (0\/4 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51442947, -102885893, -154328839?\nAnswer: -205771785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161618, -161621, -161624?\nAnswer: -161627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:57 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -368 (b) 2.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 640, 1296, 1972, 2674, 3408?\n\"Answer: f**3 + 4*f**2 + 637*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1680 and 61\/1050.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 20*v**2 + 21*v + 28. What is k(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 1, g: 2, f: 1, v: 1, a: 1}. What is prob of sequence fg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - v + 1. Let t(g) = g**3 - 3*g**2 + 4*g - 3. Let n(y) = -y**2 + 6*y - 3. Let x be n(5). Let k be t(x). What is h(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 896*p + 345857. Give j(-386).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 89737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1)**2*-4.\nAnswer: -3728 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*k = 99*k + 99*k + 264 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -3. Which is the third biggest value? (a) i (b) -4\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)*j)**(-1\/24))**(-28)\/((j*j**6)\/j**(-3)*(j\/((j**(2\/7)\/j*j)\/j*j*j))**(-1\/28)) assuming j is positive.\nAnswer: j**(-7457\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695 divided by 15?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18010080.44 rounded to the nearest one thousand?\nAnswer: -18010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let h = q + 0.36. Let w = h + 0.04. Which is the closest to 1\/3? (a) w (b) 2\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27999 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316221 = -n + 773779. Round n to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/7 - 17210*n**2\/7 + 103322*n\/7 - 86110\/7 = 0.\nAnswer: -8611, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -93\/16?\nAnswer: -93\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 8*c - 14. Let a = 882 - 890. Let n(i) = i**2 + 3*i + 5. Calculate a*n(d) - 3*p(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.815507 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by -1 - -52 - (24\/6 - 10).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j - 2*j - j - 27 with respect to j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8865 rounded to the nearest 100?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -958647864*l**3 + 228043*l**2 - 128 wrt l?\nAnswer: -5751887184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/(-4*4\/72) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - 4 - (2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 4*x**2 - 4*x + 9. Give c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325)*6)**2 + 4 + (sqrt(13) + 2 - sqrt(13)) + sqrt(13) + ((3 + sqrt(468)*5)*-5)**2.\nAnswer: 4501*sqrt(13) + 308656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*a = -36, -2*s - 16 = s - a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 64.5. Let q = -14 - z. Let w(j) = j**3 - 4*j**2 - 5*j. Let f be w(5). Which is bigger: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j**3 + 6*j**3 + 0*j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(24)*-2)\/(sqrt(56)\/(2*sqrt(7)))*2.\nAnswer: -40*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ollollollo. Give prob of sequence oll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 - -2.2. Let u = w + 0.6. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 192?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -16a293?\nAnswer: 16a293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48a (base 14) to base 3.\nAnswer: 1020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2)\/sqrt(11) + 0 + -2 + sqrt(275)*3.\nAnswer: -2 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1. Suppose 17*q + 1 = 16*q. Let d(y) = 5*y**2 + 38*y + 1. Let s(u) = q*b(u) + d(u). What is the second derivative of s(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770949422 to the power of 1\/3, to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (-588)\/18. Suppose 5*m + 7 = d. Solve -m*w + 8 = f - 2*w, 2*f - 3*w + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 40*m = 4*y - 50, y = -m + 8. Calculate the remainder when 81 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3932070 to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 230\/(-1449)*(2 - 7\/5). What is the second smallest value in q, -1, -8, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-150)*(-190)\/228 - 303\/10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 42*a + 243. Calculate y(46).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - d - 48, -30 = -b - 5*d - 0. Suppose -47*c - 46 = -b*c. What is the remainder when 159 is divided by ((-3)\/6*c + 0)*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 122 = -278. Let w be (3 - 5)\/(5\/t). Suppose -10*o = -5*o - w. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10341\/2 - 5169. What is the closest to -2\/5 in 121, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/17, 0, -25.\nAnswer: -25, -2\/17, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 26*o - 349. Let g be s(14). What is the third smallest value in 0, -1, g, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 25 = 5*x, -x - 4*q = 3 + 2. Suppose 5*t - t - 6 = -o, -3*t = -x*o - 12. Suppose -25 = 3*p + t*p. Let y(a) = a**2 + 7*a + 6. Determine y(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97 in 0.2, 112, 3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50261, -50163, -49995, -49751, -49425, -49011, -48503?\n\"Answer: s**3 + 29*s**2 + 4*s - 50295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 16*f**2 - 7*f - 10. Let d be v(6). Let c be 209\/d + 3\/(-7). Let j = -6 + 3. What is the third smallest value in j, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314 and 706679294.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2304 and 8028.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 15. Let c(j) = -1023*j - 87. Give -c(a) + 6*t(a).\nAnswer: 1035*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6144 is divided by 268.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413293 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1666557 = 94*h + 864241 - 20883578. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 15*p - 157. Let a(i) = 13*i - 157. Let b(o) = -5*a(o) + 6*c(o). Is b(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4, 2, 93166?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8400 and 29\/235200.\nAnswer: 235200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 + 40*l - 38 = 0. Calculate l.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 484 * 22652.\nAnswer: 10963568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2946.2 - -2941.2. What is the closest to 3 in u, 0.3, -94?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2217? (a) -2 (b) -9 (c) -0.2 (d) 2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from shnnhhhhsnnnh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 5*r - r)*(-5*r + 3*r + 4*r) + 101*r**2 - 4558*r + 4558*r - r**2 + 3*r**2 - 16*r**2 as u*r + d + c*r**2 and give c.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from {o: 4, h: 8, f: 1}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1480, 2961, 4442, 5923, 7404, 8885?\n\"Answer: 1481*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:35 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26238 - 26278. What is the smallest value in 1.7, i, 0, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360737126*j**3 - 66013*j**2 + 3916*j wrt j.\nAnswer: -2164422756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z + 5130 = -98*z. Let q be (-9)\/(z\/(-483)) + -1 + 5. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:47 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*r - 36. Let j be (-1 - (-72)\/16) + (-2)\/(-4). Suppose j*n = -0*n + r. Solve 0 = 4*m - n*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134*u**2 + 13 + 6 + 11 - 23*u**2 + 4 wrt u?\nAnswer: -314*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 17, 38, 67?\n\"Answer: 4*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63825 divided by -7?\nAnswer: 63825\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1111001?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 24*j**3 + j**2 + 4 + 29*j**3 - 3 - 9*j**2 in the form i*j**2 + k + y*j + o*j**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0209 + -0.0791. Which is the closest to 1\/5? (a) -3 (b) 1\/5 (c) v (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629 is divided by 1204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 22045726.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 7)*(-2*n**3 + 0*n + 0*n - 1 + 1 - n**3 + (-3*n**2 + 3*n**2 + 2*n**3)*(-2 - 1 + 1) + 3 - 2*n**3 - 3 - n + n - n**3).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(9\/(-15))*9.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 44495.52ml?\nAnswer: 44.49552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3285729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**22\/j**(-6\/11)*(j*j*j\/(j*j*j**(2\/119)))**(16\/7) assuming j is positive.\nAnswer: j**(227176\/9163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24141, -48280, -72419, -96558, -120697?\nAnswer: -144836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 3438842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.919 to one decimal place.\nAnswer: 52.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 886660 - 1?\nAnswer: 886658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = -5*k. Is (2\/k)\/((-3)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135\/4 - 1\/4*a**2 - 3\/2*a.\nAnswer: -(a - 9)*(a + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + (-2 - (-4 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -33. Suppose 5*b = q - 160. Let a be b\/((-2)\/(4\/3)). What is the highest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 3*y - 2*y)*(-4*y**2 + 2*y**2 + 3*y**2) - 6*y**3 - 2 + 3*y - 2*y + 2*y.\nAnswer: -5*y**3 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -481\/5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 47, 126, 267, 488, 807?\n\"Answer: 3*n**3 + 4*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -176, -246?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226.8 - -208299394.\nAnswer: 208299167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 206993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*11 + 23688\/168 + -134?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z + 26*z = -27*z - n - 16, 4*z + n = -25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 - 98 + 17)*(-z**4 + 5*z**3 - 5*z**3).\nAnswer: 185*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4428?\nAnswer: 1\/1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -264 (b) -24 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 15*w**2 + 6*w - 18. Let u be a(-15). Let v = -168 - u. Find the common denominator of 51\/4 and (8\/2)\/((-25)\/v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 23 + 3. Let b be 74\/14 + -1 + n\/14. Suppose -6 = -b*q - 38. Let j(u) = u**3 + 9*u**2 + 9*u + 4. Give j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/4 + 10*p**3\/3 + 23*p**2\/2 + 17. Does 33 divide d(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 + 199. Let z = d - 59. Suppose -z*t - 28 = -48. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, w: 1, g: 2, s: 5}. Give prob of picking 1 w and 1 s.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13204432 (base 5) to base 16\nAnswer: -2031b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55499 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - 0.8. Let a = -4 + o. Let k = -2 - a. Which is bigger: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 54, 35, -18, -117?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985178*p - 5*z - 48 = 985182*p, -4*p + 4*z - 12 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 3*q + 133, -5*p + 4*q + 167 = 0. Let k(f) = 2*f**2 - 1. Let i be k(1). Let x = p - i. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 325067 + -3250649\/10. Suppose 13\/5*b**3 + x*b**5 + 5*b**4 - 7\/10*b - 6\/5*b**2 + 1\/5 = 0. Calculate b.\nAnswer: -1, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -375237 - -2717841595\/7243. Let x = -470731\/115888 - m. Let z = -1891 - -3697\/2. Calculate the common denominator of x and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -261.5 - -262. Which is the smallest value? (a) 1\/9 (b) y (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.4. Let c = 1.2 - p. Let t = c + -0.6. What is the second biggest value in 2, -1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 180 = -5*c, c = -4*k + 52. Let y = c + -27. Suppose y*j = 6*j. Which is smaller: -2\/71 or j?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/6*50\/350.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5467, 0.03576, -1 in ascending order.\nAnswer: -1, 0.03576, 5467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (4 + -1 - (7 - 8)). Let b(z) = 1 + 3*z**3 - 35*z - 4*z**m + 0*z**3 + 37*z - 3*z**2. Suppose 3*u = -0*u - 12. What is b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141108 and 125073.\nAnswer: 5503212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -42 + 2*c**2 - c**2 - 36 + 2*c + 106 - 38. Calculate p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0273306mm?\nAnswer: 0.00273306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -36, -77, -134, -207?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 7*t. What is the tens digit of j(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 6 - 6*t**2 - 6 + 0 as i*t + a + o*t**2 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43cd (base 16) to base 15.\nAnswer: 5222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.3 + 11.4. Let m be 9\/6*(-1)\/3. Which is the closest to p? (a) -0.1 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 145 = 133. Suppose 800 + 6646 = i*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l + 3. Let u be h(0). Suppose 0 = u*g + 52 + 65. List the prime factors of (-3)\/(-2)*(-364)\/g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 53*n - 54*n. Let a be (-45)\/(-9) - (-2)\/n. Solve 3*s - a*j = 25, 0 = -4*s - j + 9 - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u = 60*u - 13557*x + 13563*x - 20, -5*u = -x + 50 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 2*h**2 - 96*h**3 + 7 + 97*h**3. Let x be y(-3). Solve -x*g + 25 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 40*f + 73. List the prime factors of o(11).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*k = -0*k + 12, k = 5*j - 39. Let w be (2 - 1) + 2328\/j. Suppose n - w = -2*o - 0*o, 3*o = 2*n + 452. Is o a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -5*b + 4*b. Let s = b - -63. Suppose 92 = -4*m - 3*d + 256, 0 = 3*m + s*d - 124. Is m a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/148770970 and -79\/60?\nAnswer: 892625820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, f: 15}. What is prob of picking 2 w and 2 f?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (5 + 6 + (-12 - 2) + 10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + (sqrt(3) - sqrt(192)*4) + -5 - 6*((-1*sqrt(27))\/sqrt(9) - (1 + sqrt(3) + 0))))**2.\nAnswer: -152*sqrt(3) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*o - 111*o = 413715. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -84\/39647 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6893*k = 29806 + 73589 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 6. What is the remainder when 40 is divided by w(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 30*k + 68*k - 423 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, y: 2, b: 2, t: 3, x: 2, g: 3}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 394760735 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:29 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-8))\/(-5)*36. Suppose -5*s = -29 + p. What is the second derivative of s*c**3 - 6*c - 17*c**5 + 27*c**5 - 4*c**3 wrt c?\nAnswer: 200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 12*g + 13. Let m be n(11). Let l be 1*-1*-5 + 0. Let o be 2\/(-20)*l\/(-2). Which is the closest to o? (a) 1 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) 45\/16 (c) -4 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 131 + (-1 - -4)\/(-15 - -16). What is the third derivative of -134*q**3 - 3*q**5 + b*q**3 + 25*q**2 wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571282*o - 570893*o = -17505 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*j = 31 - 2, -5*o = -3*j - 3. Put o, -4, 5 in decreasing order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*b**4 + b - 46 wrt b?\nAnswer: 1152*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 6. Let a = 31 - 24. Let v = a - -23. Suppose 28 = -3*q + 2*s + 9, -4*q + 5*s - v = 0. Calculate m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(1584) + sqrt(1584) + 0))**2 + sqrt(1584) + -4 + (-1 + sqrt(1584))**2 + 1 + (5*(sqrt(1584)*1 + -5 + 5))**2.\nAnswer: -12*sqrt(11) + 269279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130133 (base 5) in base 13?\nAnswer: 23ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 233.2475 years?\nAnswer: 2.332475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1826782 divided by 4?\nAnswer: -913391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7116415*k*o**2 + 16062618*o**2 - 2*o - 1 wrt k?\nAnswer: 7116415*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000461244551 to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.1 - 16.6. Let f = -324.59 + 323. Let w = f + 0.59. Which is the nearest to w? (a) u (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 21*d - 8. Let m be g(-16). Let z(x) = 5*x**2 + x + 1. Let f be z(-1). Suppose -5*l = 3*t - m - 15, -5*t = f. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18039184897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**2 + 5*g + 1. Let f = 8 + -4. Suppose f*u = u. Suppose 0 = 5*w - u*w - 15. Let i(t) = -7*t**2 + 9*t + 2. Give w*i(z) - 5*k(z).\nAnswer: -z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/10 (b) 10 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**6\/120 + s**5\/15 - s**4\/6 + 2*s**3\/3 + 3*s**2\/2 - 17*s. Let d(j) be the first derivative of o(j). Give d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**2 + s - 3*s + 2*s.\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2791\/264 - -21\/88. Find the common denominator of (-6)\/10*(2 + 9) and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6684227 and -28631.\nAnswer: -6712858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1710 by -342.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7730579 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15473.66 nanometers?\nAnswer: 15.47366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6047696?\nAnswer: 2, 377981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 269?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2\/(-9) - ((-1185)\/(-135) + -6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14127a + 129?\nAnswer: -141151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0 + 0*d - 1\/60*d**5 + 0*d**4 - 11*d**2 + 0*d**3. Let v(o) = 39*o. Calculate s(v(m)).\nAnswer: -1521*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649 and 1593.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 14 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*a**2 - 4*a - 335 wrt a.\nAnswer: 68*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 16. Let z be w(-8). Let g be (3 + 52\/(-16))*z. Factor 1 + 3\/2*a + 1\/2*a**g.\nAnswer: (a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2 + 2\/4. Let d(p) = 0*p**2 + 0*p**o + 2*p**2. Let w(a) = 0*a**2 - 6*a**2 - 5*a**2 + 8*a**2. Give w(d(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 12*w - 18. Let i(m) = -m**2 + m - 1. Let c(u) = 2*i(u) - t(u). Let z be c(9). Suppose -3*q - 1 = -z. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (25 + -20) - (-5 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -4*k - 25. Suppose 5*z - 2*m = k, 3*z - 4*m = -1 + 17. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14068, 14122, 14178, 14236, 14296, 14358, 14422?\nAnswer: 14488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 125597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237933707.\nAnswer: 11, 21630337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16180*r + 104010 wrt r?\nAnswer: 16180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*a + 27. Let k(d) = -d - 1. Let n(t) = t**3 - 7*t**2 - 7*t + 13. Let y(z) = 2*k(z) + n(z). What is the units digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, v: 3}. What is prob of picking 2 v and 1 x?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*g + 10 = -3*s, -4*g = -2*s + 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*y - 2 = 0, 2 = -3*l + 47*y - 45*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 596621648 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - 1.718. Let h = -241.218 + 241. Let l = d - h. Which is the nearest to -4? (a) 0 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -10) + (2 - 0). Suppose -u + h*u = -t - 3, 0 = -2*u - 4. Is 3 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/(-33)*1)\/((-1)\/6). Suppose 3*s + k*v = -0*s - 66, -3*v = 3*s + 63. Is 7 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*l - 18 = 0, -2*l + 2 = 5*d - 0*d. Solve 2*a + 2*y - 5*y - d = 0, -5*a + 4*y = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*o - l + 113*o - 9 wrt l?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7163991323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.36 + 0.888. What is i rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 7*p + 4. Let o be w(7). Find the third derivative of -80*u**4 + u**5 + 80*u**o + 9*u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491674 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*c - 137*c = -4*d + 5342, -5*d = -3*c - 6686. What is the highest common factor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -299\/2134 + 294353\/2938518. Find the common denominator of b and 52\/567.\nAnswer: 9639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 30 + 46 - -38\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3.3, -1\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1467406, -1467376, -1467346?\n\"Answer: 30*g - 1467436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (229948 + 0)*((-450)\/(-40) + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:38 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-390)\/4680 - 949\/132).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 538\/1752637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3131 + 3131. Suppose -p - 4*t - 17 = 0, p - 5*t = 17 + 2. Sort z, p, 1, -5.\nAnswer: -5, p, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39301051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3492 by 97.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 0.3 (c) -1.8 (d) -0.712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 12*f**2 - 16*f + 34. Let s be u(13). Let q be 2\/s*(-11 - 9)\/4. Suppose -4*h = -6*g + 2*g + 4, -5*h = 0. Solve -c + g = -q*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60851*u**2 - 20298*u**2 - 20304*u**2 - 20288*u**2.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -42310 times 0.4\nAnswer: -16924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 1055496.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 262, 594, 1048, 1624, 2322?\nAnswer: 3142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + (-6 - (-5 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3101002 (base 5) to base 4.\nAnswer: -30033033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 + -232. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 935, -5, -34, 0, 5, -37 in descending order.\nAnswer: 935, 5, 0, -3, -5, -34, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 21 = -4*x, 3*u - 28 + 33 = -2*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/390 + d**4\/39 + d**3\/13 - 3*d**2 + 20*d. Let o(f) be the first derivative of b(f). Solve o(n) = 0 for n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 - 8 - 12 + 0*c**2 + 9*c**2 with respect to c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 656721 and 454653?\nAnswer: 5910489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43c + 1?\nAnswer: 43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5463481473?\nAnswer: 3, 607053497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s**3 + 27*s**3 - 38*s**3 + 0*s**2 - s**2 in the form l + p*s**3 + o*s**2 + k*s and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 139849.614.\nAnswer: 139854.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 273104839 times -1\nAnswer: -273104839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210253 (base 8) to base 6.\nAnswer: -1255055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 31*v = 22. Let g(l) = 7*l**3 + 7*l**2 - 2*l + 1. Let y(k) = -8*k**3 - 8*k**2 + 2*k - 1. Let p(a) = 7*g(a) + 6*y(a). Give p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407 - 405. Sort 0.1, j, -10\/3 in ascending order.\nAnswer: -10\/3, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*n**4 + 92*n**2 + 160*n - 4343*n - 35*n**4 - 674*n wrt n.\nAnswer: -36*n**2 + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 - -2) + -5 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -73*t + 55*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 less than -946?\nAnswer: -946.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let i(a) be the third derivative of -18*a**2 + 0*a**3 + 0 - 7\/4*a**4 + 0*a. Give x(i(w)).\nAnswer: -3528*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -59 (b) -2\/3 (c) 1\/19 (d) 80 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i\/i**1)**(-12\/17)*(i**(1\/2))**(-2\/93))**(-2\/119) assuming i is positive.\nAnswer: i**(8962\/188139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2316, 2301, 2286, 2271, 2256?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 741122 at least 741122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147270 is divided by 164.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 7}. What is prob of picking 2 r and 1 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 74*s**2 - 3170*s - 619. Give h(43).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4102 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/2 - 8278*r**2 + 33106*r - 33104 = 0. What is r?\nAnswer: 2, 16552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.4, -1\/5, 8.74, 2, -42?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2082606 and 2088?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4525 divided by -905?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000136 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 1, e: 4, w: 4, v: 3, a: 2}. What is prob of sequence ev?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18 - -30) + -2 - -26) + (-17 - -4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004788 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from ppppptttdt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78757900, -78757903, -78757906, -78757909, -78757912, -78757915?\n\"Answer: -3*k - 78757897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -o - 213, 0 = 4*a - 2*o - 284. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/4 + 33*x**4\/2 + 99*x**3\/2 - 264*x**2 - 1353*x\/4 + 1071\/2 = 0. What is x?\nAnswer: -17, -7, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 4. Let j(v) be the third derivative of -v**4\/6 + v**3\/2 + 28*v**2 + 10. Determine -6*j(r) + 5*t(r).\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142.941 + -0.059. Let u = -142.8 - j. Which is the second biggest value? (a) -0.2 (b) -43 (c) 2\/15 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298571.\nAnswer: 3, 432857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -272 - -291. Suppose -20 = -i*n + 16*n - y, -n = 3*y + 4. Let j(h) = h**2 + 4*h + 1. What is the smallest common multiple of n and j(-7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = -6. Let i be (2\/4)\/((-38)\/32). Let b = i + 73\/38. What is the biggest value in 0.2, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*w + 78*w + 3*i = 24, 0 = -2*w - 4*i - 28. Let m be -5 + (-5 - -13) + w + 4. Suppose 0*z + 3*z - 9 = 0. Put z, 1, m, 15 in descending order.\nAnswer: 15, z, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o - 1. Let q(u) = 11*u**3 + 4*u**2 - 4*u + 4. Let v be (3 - (-30)\/(-6))\/(-2). Calculate v*q(z) + 4*g(z).\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -8*f**6\/15 + 31*f**4\/12 - 41*f + 29. Let d(b) be the first derivative of u(b). What is the third derivative of d(o) wrt o?\nAnswer: -384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54653, 109307, 163959, 218609?\n\"Answer: -p**2 + 54657*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 14) to base 13\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/8466 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -25*b**3 - 30*b**2 + 6*b + 28. What are the prime factors of t(-9)?\nAnswer: 13, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7654809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2691 (base 10) in base 11?\nAnswer: -2027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 2*b**2 - b - 2. Let p be n(2). Suppose 14*w = 11*w + 339. Suppose 5*h + i = w, p*h - 4*i = 67 + 33. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a81 (base 16) to base 13.\nAnswer: -15007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = 0, 0 = 5*z - 3*v + 1 + 98. Is ((-3)\/(z\/(-188)))\/(12\/(-54)) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*p + 6 = -k, -p + 12 = -5*k. Suppose -47 = 5*m - 32. Suppose -10*c - 17456 = -17476. Put k, m, c in decreasing order.\nAnswer: c, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 151*r**3 + r**2 + r - 1. Suppose -k - s = 4, -2*s + 0*s - 5 = 5*k. Let j be f(k). Suppose -5*o - 37 = -j. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t + 2. Suppose -j + 12 = t*j. Which is the nearest to -2\/7? (a) j (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.6, 2, 9, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from gskzkzk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 190 + -196 - (0 + 1 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1100)\/(-1800)*(-30)\/110.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 89*i**3 - 3*i**2 - 16*i - 7. Let w(f) = -89*f**3 + 2*f**2 + 14*f + 7. Let n(h) = 5*v(h) + 6*w(h). Is n(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1505 and 109\/860.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26160 = 12*u + 4*u. What are the prime factors of u?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 31 - 13*j + 14)*(-14 - j**3 + 2*j**3 + 17).\nAnswer: -13*j**4 - 2*j**3 - 39*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 411 and -2.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.563281 litres in millilitres?\nAnswer: 6563.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.03? (a) -0.4 (b) 5 (c) 4 (d) 669 (e) 0.5 (f) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 35. Suppose -b*g - 4*o = -21, 2*g = 3*g - o. Let t(a) = a**2 - a - 2. Let p be t(0). Put p, g, 2 in ascending order.\nAnswer: p, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(700) - (sqrt(700) + 2))**2 + (sqrt(567)*-2)**2 + 4.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*j + 1500 = -10663, 0 = -2*i - 3*j + 24370. What are the prime factors of i?\nAnswer: 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.083, 1057, -5, 0.4, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4418*s**4\/5 - 3426112*s**3\/5 + 663353024*s**2\/5 + 339403776*s\/5 + 43356672\/5 = 0. Calculate s.\nAnswer: -12\/47, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 836*f**2 + 39292*f + 125. What is p(-47)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 + -112. Let o = -18.97 + 18.87. Which is the third smallest value? (a) z (b) -0.01 (c) -1\/6 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.57+4\nAnswer: 5.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:24 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3356, 3311, 3196, 2975, 2612, 2071?\n\"Answer: -6*k**3 + k**2 - 6*k + 3367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -0.03?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*v + 37, -7 = -v - 4*x + 10. Suppose z - 4 = 0, v*i - 149 = -5*z + 176. Suppose -t - 6 = -l + 5, 0 = 5*l + t - i. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 389 = 5*u + 3*f, -5*f = 2*u + 148. Let t be ((-18)\/(-12))\/(6\/(-326)). Let i = t - u. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -45. Let i be (-2 + u\/5)*-30. What is i rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822847 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -15, 21, -24, 6, 93 in decreasing order.\nAnswer: 93, 21, 6, -4, -5, -15, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.37 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by 54\nAnswer: -205\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 10184.\nAnswer: 10189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -7, -1, -3, -5 in decreasing order.\nAnswer: -1, -3, -5, -7, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 + 22*m - 16. Is 62 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.9 rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 1059*f**2 + 4215*f - 5275.\nAnswer: (f - 1)*(f + 5)*(f + 1055)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p + 58*p + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030072 and 10592?\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4*q**2 - 16*m**4*q + 2*m**3*q**2 - m**2*q**2 + 21*m**2 - 3*q**2 wrt m?\nAnswer: 24*m*q**2 - 384*m*q + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from ckkkrnhyhnhhyc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 10*u. Let f be h(10). Factor f*r - 18*r**2 + 6*r - 2*r**2 + 2*r.\nAnswer: -4*r*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*h = 0, 2*l - 3*h + 7 = 27. Solve 0 = -l*r - 2*s + 14, -3*s = 3*r + r - 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) -2 (c) -9 (d) 3164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:37 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) 290 (c) 23 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 + 16 = 5*k, 5*d - 2*k = 35. Solve 5*c + 0*f + 2*f = d, -2*f = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(1792) + 0 + 0 + (-3*sqrt(1792))**2*4).\nAnswer: 96*sqrt(7) + 387084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/21)\/(7 - 23155\/3311). Which is smaller: t or 90?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, k: 1}. Give prob of sequence ck.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 157*f**2 + 766*f - 906. Determine o(152).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25231279 or -25231278?\nAnswer: -25231279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -27 + 7*h + 27 - 9*h. Let d(s) = -2*s + 1. Suppose -4*b + 20 = 24. Let v(w) = w**3 - 5*w**2 - 6*w + 2. Let y be v(6). Give b*k(g) + y*d(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 164831.3 nanometers?\nAnswer: 164.8313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 6785.\nAnswer: -36\/6785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*b + 109*b = -2*k - 10, -4*b = -3*k - 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 13. What is the biggest value in a, -0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43905 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 1459 = -3769. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.2019 - 0.1907. Let h = 8 - g. What is h rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 3*r**2 + 101*r + 10*r**2 + 338*r - 439*r.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 7, c: 2, d: 3, v: 4, x: 1}. Give prob of picking 4 v.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 5110185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j = 33*j - 2*w + 7, -9*w + 4 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158337214.\nAnswer: 2, 7, 67, 168803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34850 divided by -25?\nAnswer: -1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l)\/l)**(11\/3)*l**(-8)*l*l**(2\/19)\/l assuming l is positive.\nAnswer: l**(-1886\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, z: 2, c: 4, k: 1}. Give prob of picking 2 i.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from swgdwgtwsvssdss.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from oooyocacajcraycjcca.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 1820*t - 3727*t - 2316*t - t**3.\nAnswer: t**3 - 4223*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 555 - 168 - 144 - 2*m**2 - 187 - 76*m - 130.\nAnswer: -2*(m + 1)*(m + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7153\/36)\/((-612)\/29512). Let r = q - -9581. Find the common denominator of 4\/3 and r.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**3 - 201*u**2 - 21*u + 7. Let i(x) = 2*x**3 - 23*x**2 - 2*x + 1. Determine -5*i(r) + q(r).\nAnswer: 3*r**3 - 86*r**2 - 11*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 251624 and 9808.\nAnswer: 308491024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - m - 3*m - 122 = 0, -19 = -f - 3*m. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8675 + -8656. Calculate the remainder when 702 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, 2107, 5973, 11385?\nAnswer: 18343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30167632 to the nearest integer?\nAnswer: 5493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 2 * 5.5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 306 = 250. Let t(w) = w**2 - 4 + 2 + 3 - 2*w. What is the remainder when h is divided by t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/13 - 2836*i**2\/13 - 218*i = 0.\nAnswer: -1417, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2. Let a(n) = 2 + 0 + 4*n + 0*n. Let s = 2 - 0. Let m(x) = 13*x + 7. Let g(v) = s*m(v) - 7*a(v). Give l(g(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -13 + -15 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -21. Let j = w - -6.1. Let s = -0.1 - -0.2. Do j and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836) + 2*sqrt(1836) + sqrt(1836) + sqrt(1836))\/(-5*sqrt(3)*-3).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*n**5 - 11*n**5 - 22*n**5 + (5*n - n - 5*n)*(2*n**4 + n**2 - n**2) + (2*n**4 + 2*n**2 - 2*n**2)*(-2*n + n + 0*n).\nAnswer: -61*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2*v + 18*j**2 - 4172*j*v - 132714*j - 20980*v wrt v?\nAnswer: -j**2 - 4172*j - 20980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b - 8. Let n be (-2)\/b - 3\/(-4). Suppose n + 15 = 2*r. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3\/5 + 104*j**2\/5 + 236*j\/5 - 336\/5 = 0.\nAnswer: -3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let s be 50\/4*(1 - (t - 2)). What is the second derivative of 2 - 2 - s*x**3 + 18*x**3 - 10*x wrt x?\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 n when four letters picked without replacement from {k: 3, g: 1, e: 4, m: 3, u: 2, n: 3}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (594 + 22*v**2 - 594)*(6*v**2 + 5*v**2 - 5*v**2).\nAnswer: 132*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6265)\/(-28)*4 - (2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 108. Suppose 5*z = z + m. Let 3\/2*d**5 + 3\/2*d**4 - 15\/2*d**3 - 6 - 3\/2*d**2 + z*d = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, v: 7}. What is prob of picking 2 v and 2 n?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**3 + 149*h**2 + 43*h - 455. Determine l(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260697*q**6*t - 15*q**4*t**2 + 12001*q**2*t**2 - 3*q*t**2 - 52*t**2 wrt q.\nAnswer: -31283640*q**3*t - 360*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 18 = 4*x + 3*a, 4*x + 5*a = -15. Let c(u) = 2*u**2 + u + 4. Let y(t) = -4*t**2 - 2*t - 9. Determine x*c(b) - 2*y(b).\nAnswer: -2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/5 (b) -2 (c) -301 (d) -1\/4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7*i = 0. Suppose 2*g = -2*y + 3*y - 12, 2*y = -5*g - 12. Suppose i*z + 8 = y*z. Calculate the highest common factor of z and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 14*h + 14. Let t be w(-10). Suppose 5*y = 2*y + 5*z + t, z = 3*y - 66. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*t - 26, -t + 4*x - 5 = -15. Let h(f) = f**2 - 2*f - 5. What is h(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*z + 18 = 0, 12*f - 3*z = 10*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 5 = 20*m. Suppose -2*s + 21 = -7*s - 3*n, -5*s = -m*n + 5. Let z(r) = -4*r**2 + 4*r + 7. Let w be z(s). Which is smaller: -40 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 = i - 6*i, -2*i = -2*k + 14. Suppose -59 + 3 = -k*h. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/11597940 and -35\/1116.\nAnswer: 359536140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or 2783?\nAnswer: 2783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23b2b0 (base 12) to base 3\nAnswer: 1002102122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*((-258)\/(-42) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-24))\/((-66)\/9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15390)*-38*4\/((-8)\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1134512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w + 8 = 0, 5*h - w - 17 = 0. Suppose -4*j = -5*y + 33 + 99, -2*y + 50 = -h*j. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6) + -1)*4 + (sqrt(2) + (sqrt(50))**2)*-3 + sqrt(18) + (sqrt(18) + 0)**2 + sqrt(18).\nAnswer: -136 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1645.042 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62719*n**3 - 86*n**2 - 18504699 wrt n.\nAnswer: 188157*n**2 - 172*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-320)\/57)\/16)\/((-4)\/(-15) + (-248)\/(-620))?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2282, 2284, 2286, 2288, 2290, 2292?\n\"Answer: 2*q + 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/40)\/25*-28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/320 + ((-54)\/(-10) - 9\/(-45))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41195.04 centuries to millennia.\nAnswer: 4119.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -21. What is the greatest common factor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + (13 - (1 - -6 - -2)) - 20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048927712 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*s = -49, -5*s + 23 = g - 10. What is the remainder when 23 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623426 divided by 1?\nAnswer: 623426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*v**3)\/(v**(1\/4)\/v**(-2\/35))*((v*v**(5\/2)*v)\/v)\/v**5*v*(v\/(v**(1\/6)\/v)*v)\/v*v**2 assuming v is positive.\nAnswer: v**(27001\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((9 + -5)\/492). Let o = i + -112. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 242 - 230. Does 49 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2877 + 218 = 4*h - l, 4*l - 20 = 0. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 3*r**2 - 1. Let u(b) = -2*b**3 + 2*b**2 - 1. What is 3*f(g) - 4*u(g)?\nAnswer: 5*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1479825800 to the nearest one million.\nAnswer: -1480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 6730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -48. Solve -2*z + 30 = o*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2728, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, 21, 5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 194023 = 3*o, 3*o = -5*r + 204999 - 1175078. Let v = r + 354014. Round v to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*y - a - 21, -2*y - 2*a - 14 = 0. Let h = -3 - y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + (-21 - (11 - 28)) + 11 + 5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -63*m**2 - 36*m. Let f(y) = 9*y**2 + 5*y. Determine 5*b(q) + 36*f(q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 20*c + 42. Give y(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 107\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 7*p**2 - 8*p + 7. Let w be o(6). Put 2, -3, w in descending order.\nAnswer: 2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064 minus -68.635401?\nAnswer: 68.699401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 37?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*-2*4 - 1*sqrt(156))\/((sqrt(72)\/sqrt(4)*6)\/sqrt(6)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 13*g = 6. Let p be (-1)\/(1 - (-6)\/(-5)). Suppose x + g*z = 67, 0 = -p*x + 4*z + 300 + 111. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/22 - (-14)\/77. Let z be (-334)\/(-6) - i\/(-12). Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + r + 4*r - 81 = 0, -4*r + 48 = 2*h. Let k(t) = -11*t**2 - 6*t**2 + h*t**2. Let x(g) = 5*g**2 + 8*g**2 - 3*g**2. Give k(x(i)).\nAnswer: -300*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i. Let s(r) = -r. Let f = -6 + 1. Let w(v) = -v**2 - 4*v + 3. Let q be w(f). Let c(d) = -2*d - 2. Let t be c(q). Determine t*s(p) + z(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6)\/9 + 2359933\/87?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -123754*m. Let j(w) = 2*w**2. Calculate t(j(i)).\nAnswer: -247508*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(90))\/sqrt(3))\/((sqrt(40) + sqrt(10))*6))**2 + -4 + 3 + sqrt(48) + -2.\nAnswer: -80\/27 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73605563 - -4?\nAnswer: -73605557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/6 - 14099*i**4\/2 - 74462040*i**3 + 5149074400*i**2\/3 = 0.\nAnswer: -21160, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, 1, 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 4\/5, 9\/7 in decreasing order.\nAnswer: 8, 9\/7, 4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 11*l**2 + 9*l + 16. Let a be d(10). What is the greatest common factor of a and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 2*l + 3. Let y(h) = -5*h**2 - 3*h - 5. Calculate -8*g(b) - 5*y(b).\nAnswer: b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13*d**2 - 142*d + 108. Determine y(-12).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878164644.\nAnswer: 2, 79, 5943559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 158871 = -3*s, -4702 = -j - 4*s + 48270. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.155 - -0.955. What is the third biggest value in -1, -5, i, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p. Let y(w) = -44*w - 42*w + 85*w. What is y(b(f))?\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 45982702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(3 + -1 + -4). Let h be (-20)\/(-100) + (-1)\/r. Solve h = 2*k - 2*a + 7*a - 24, 2*k - 2*a + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by ((-1)\/(-2))\/((-4)\/(-144))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 24 = q, -3*q - 20 = -4*q + 4*u. Let y be (q\/6)\/(12\/27)*4. Suppose y*t - 1225 = 77. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = 49*u + 3034. Let d = 1415\/2 - 747. Is u at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169281 to the power of 1\/2, to the nearest integer?\nAnswer: 2678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31057 by 2167.\nAnswer: -31057\/2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u + 3*u + 13*u + 4*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 20 - 5. Calculate the remainder when 5 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6177 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 15*q = 0. Suppose 5*y - 386 - 179 = q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2715 + 133715. What is q rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17077, -5, 4, -2 in descending order.\nAnswer: 4, -2, -5, -17077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*u + 34 = x, u + 4 = 3*x. Suppose -30 = -x*s - 2*s. Suppose -41 = s*k - 7*k. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 10 = -1406*b + 1401*b, 10 = -5*b - r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -209 + 29. Let q be (8\/(-10))\/((-6)\/l). Let j = q - 4. Solve 2*z + 6 = -4*x, z = -5*x - 11 + j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {q: 8, r: 4, k: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 18. Solve -3*y - 2*y + 4*j - 32 = 0, -2*y + p*j = 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 4, -54, -146, -278, -456?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1980)\/sqrt(5))**2 + sqrt(11))*-1 + -2*-4*(sqrt(11) + -1*sqrt(176)).\nAnswer: -392 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:53 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:13 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 359 + -357. Which is the closest to -0.2? (a) 0 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 58099, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 814481861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*o**2 - 3)*(4 + o**2 - 4) + (-o**2 - 5*o**3 + o**2)*(0 - 9 - 4 - o).\nAnswer: 7*o**4 + 65*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 112.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 - 20) + 18 + 17 + -36.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 888600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 24*q - 20*q. Let c = q + 33. Sort 2\/5, c, 2\/17.\nAnswer: c, 2\/17, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7430 (base 8) to base 12\nAnswer: -22a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -702914, -702917, -702924, -702935, -702950, -702969, -702992?\n\"Answer: -2*a**2 + 3*a - 702915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13410560 - -5350560. What is j rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3970.5 + -3512.5. Which is smaller: -14\/13 or f?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136874 + 5*l + 642*l**3 + 136874.\nAnswer: 642*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 43642 = 3*a - 43711, 5*a + 3*z + 17 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let h(o) = -o**3 - 8*o**2 - 8*o - 7. Let f be h(-7). Let d = f + 7. Let n(r) = -7 - r**2 + d + 5*r**2. Determine n(v(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0925862 rounded to 4 dps?\nAnswer: -0.0926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)**(1\/32)*n**(-2\/21)*n\/n**(-10\/3) assuming n is positive.\nAnswer: n**(1445\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385824019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -21613*q + 7913*q - 17066*q + 408*q + (2*q - q - 3*q)*(-1 + 2 - 2) in the form k*q + b and give k.\nAnswer: -30356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 13*u**4\/2 - 4*u**3\/3 - 5. Find w, given that f(w) = 0.\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1584) + sqrt(1584) + -2) + (3*sqrt(1584) - sqrt(1584)) + -1 + 2 + 2)**2*-4*-3.\nAnswer: -19008*sqrt(11) + 685740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6609, 2\/265, 0.2 in increasing order.\nAnswer: -4, 2\/265, 0.2, 6609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12411)\/756 + 25\/(-20)*(-3 - 86\/(-30)).\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9117)\/14895 + (-6)\/(-10). Let c = -4614\/1655 + r. Calculate the common denominator of c and 18\/16 + 1 + -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502.3+-4\nAnswer: -506.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -82. Let g be 0\/(-2) - 1 - -4. Suppose -54 = -3*b + g*a, -a = -6*a + 20. What is the greatest common factor of b and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(119)\/(sqrt(7) - (sqrt(7) + sqrt(175))))**2 - (sqrt(102) + (sqrt(102) - -2*sqrt(102))*-6)\/sqrt(6).\nAnswer: -58\/25 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 681?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, k: 4, v: 1, b: 7, j: 3}. Give prob of picking 1 v and 3 k.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 divided by 1?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 126*b**4 + 414202*b**3 - 104031076*b**2\/3 - 33124664*b\/3 - 736688 = 0. What is b?\nAnswer: -3369, -2\/9, -2\/21, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -165 + 167. Let k be (-1 + 4)*(-4)\/(-6). Suppose -5*i - 23 = -5*y + y, 2*i = -4*y + k. Solve -w*z + 5*z - 4*b = -20, 2*b = -y*z + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*i**3 + 7*i**2 - 135121.\nAnswer: 297*i**2 + 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 - (2 - (-25)\/(-9)). Put -1.4, k, 2\/9 in decreasing order.\nAnswer: 2\/9, k, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 763 - 771. What is the common denominator of 4214\/567 + 56\/h and -17\/3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1047 - -1059. Let c be 6\/15 + ((-4272)\/20)\/(-6). Calculate the highest common factor of z and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1285 divided by 79.\nAnswer: 1285\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 794*g + 7155. Let n be q(-9). Solve 5*t - 15 = 0, 0*v + 2*v - 5*t = -n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 445385 = -1969435. What is d rounded to the nearest 1000?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8741*o - 44860 = 53255 - 980956 for o.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 467663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -12. Let z be 76\/y - 2\/(-3). Solve -2*j + z*j = 4*v, 5*v = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16783 + 16575. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/((a*a*a**(-1)\/a)\/a)))))**(-26)*a*(a**(2\/7)*a)\/a*a**(2\/27)\/a assuming a is positive.\nAnswer: a**(4982\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -4. Let n = i - -2.905. Let a = n + 0.0949899. Round a to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20121110 (base 3) to base 2\nAnswer: -1001011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) -5\/21 (c) -198\/5 (d) 2\/11 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*q - 389 = 3*i, 0 = i + 3*q + 193. Let c = i - -211. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 3755032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttngwwgttggntnt. What is prob of sequence nw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7)\/(b\/b**(-2\/5)))\/(b**(-2\/7))**(-8)*(b*(((b*b**2\/b)\/b)\/b)\/b)**7*b\/b**(2\/19)*b\/(b**(-1\/3)\/b)*b assuming b is positive.\nAnswer: b**(1367\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.7, -2\/11, -5\/4, -3 in descending order.\nAnswer: -0.04, -2\/11, -0.7, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(2\/9)\/u*u)*u*u*u\/(u*u**(-1)*u)*(u\/(u\/(u*u*u**(2\/3)))*u)\/u*(u*u**(-1\/3)*u)\/u*((u**(-2)\/u)\/u*u\/(u**(-5)*u))**46 assuming u is positive.\nAnswer: u**(469\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*a = -82, 5263*d = 5258*d + a + 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 498, 815, 984, 957, 686, 123, -780, -2071?\n\"Answer: -8*q**3 - 26*q**2 + 451*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u + 16524 = 57*u. Suppose -5*x + 586 = -u. List the prime factors of x.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -634 + 638. Suppose p*o + 1 = 3*n + 21, -2*o = -4*n - 10. Solve -2*z - 9 = -x, n*z - 25 = 5*z - 3*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + -1.97. Let i = h - -2.06. Let w = i - -1.94. Sort w, -1\/6, -3\/4 in decreasing order.\nAnswer: w, -1\/6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11013*g*j**2 - 5*g*j + 6*j**2 + 10779 wrt j?\nAnswer: -22026*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 70\/9 (b) 2\/7 (c) 2 (d) 7.4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*y - 310*y + 66*y + 0 - 2 + 79*y + 76*y.\nAnswer: -22*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -56*f**2 - 5*f - 5. Let p(w) = 27*w**2 + 2*w + 4. Let a(i) = -4*d(i) - 7*p(i). Let b(k) = 12*k**2 + 2*k - 3. Calculate 6*a(n) - 17*b(n).\nAnswer: 6*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from mtgt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m. Let a(i) be the first derivative of -3 - 5\/2*i**2 + 0*i. Calculate a(f(h)).\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22955 and -0.1.\nAnswer: -22955.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11*(2\/(-9) + (-550)\/198). List the prime factors of (-60)\/(y\/(-24) + 7\/(-56)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3377*t + 27011. Determine o(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32.94 and 4.\nAnswer: 36.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-22))\/((-340)\/374)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 + s**4\/3 - 2*s**3\/3 - 2*s**2 - 42*s + 2. Calculate l(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) -2\/75 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**7\/5040 - f**5\/20 - 2*f**2. Let c(w) be the third derivative of g(w). Let d(v) = 2*v. What is d(c(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {r: 3, k: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-14)\/4*((-420)\/(-49) - 12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 271330916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -8. Solve 10 = a*q - 8*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104 - 91 + 69 - 53 + 6*d - 101 to the form v + y*d and give v.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (26\/4 + -1))\/((-637)\/1092)*-7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -120*q**2 + 30*q - 27. Calculate j(1).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**4\/8 + u**3\/2 - 12*u**2. Suppose -l + 9 = 2*l. Let t = 8 - l. Let n(b) = -4*b + 4. Give t*n(p) - 7*h(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(1573) - (sqrt(1573) - sqrt(1573)*-1)**2) + -3 + sqrt(1573)*2 + sqrt(1573) + 2 + -5 + -5) + -5.\nAnswer: -37823 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(136) + -1*sqrt(136))*4)\/(sqrt(8)*-1*6 - sqrt(288))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11425\/11 < -1038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 681971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/75 and 2*(2\/22)\/(6\/71)?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373*0.4.\nAnswer: -149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -16*j**2 - 179541*j + 2. Let o(a) = 15*a. What is q(o(i))?\nAnswer: -3600*i**2 - 2693115*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 4709 = -12811. What are the prime factors of w?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 356*z**3 + 9*z**2 - 117*z + 583. What are the prime factors of u(5)?\nAnswer: 7, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**1)\/w)**(2\/7)\/(w**1*w\/w**4)*(w**(-1))**(-12)*w*(w**5*w)\/w*w*w**(-5)\/w assuming w is positive.\nAnswer: w**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75783, 75789, 75799, 75813, 75831, 75853, 75879?\nAnswer: 75909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, p: 2, j: 5, h: 3}. Give prob of sequence jg.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -1222\/7, -33\/7, -7.64?\nAnswer: -1222\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.612 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 93?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*c**2 + 26\/9*c + 28\/9.\nAnswer: -2*(c - 14)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90.27 - 0.06.\nAnswer: -90.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 19*z**4\/12 + 41*z**3\/3 - 175*z**2\/2 + 135. Let i(j) be the second derivative of c(j). Differentiate i(u) wrt u.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(408) - sqrt(408)*-2)\/sqrt(12)*-1)\/((5*sqrt(8))\/sqrt(4) - (4*(sqrt(2)*-2 - sqrt(2)) + sqrt(2))).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.2, 1\/8, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21400032 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2 - 6. Let f(i) = -4*i**2 + 4*i - 4. Let v(m) = -3*m**2 + 3*m - 3. Let l(y) = -5*f(y) + 6*v(y). What is l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, -2, 3, 22, 61, 126, 223, 358?\n\"Answer: r**3 - 2*r**2 - 4*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9145250*c**2*h**2*v**3 + 1851132*c**2*h*v**2 - h**2*v**2 wrt v?\nAnswer: 54871500*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b34a3 + 4?\nAnswer: b34a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 33. Let s(c) = -c + 16. Let p be s(d). Let v(i) = p*i - i - 3 + 5 + 1. Calculate v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1207774\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 15 = -3*m, 2 = -5*q - 13. Let j be 6\/39 + m + (-791)\/(-13). Let f = j + -59. Solve 0*a - f = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4786.\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 18*c - 23*c. Calculate the smallest common multiple of c and 83.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/6*128\/(-112). Factor -1\/4*w**2 + 0 + 1\/4*w**5 - 3\/4*w**s + 3\/4*w**3 + 0*w.\nAnswer: w**2*(w - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/10 and 71\/565544?\nAnswer: 2827720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -586008794.3 + 586369065.30045. Let d = n + -360258. Let t = d + -13. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) - (0 + sqrt(1216) + -5)) + -3)*-3)**2 + 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -191. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -55970, -5, 2\/9, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -162927, -1303388, -4398937, -10427118, -20365475?\n\"Answer: -162924*c**3 + 7*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8*1)\/4 - -4. Suppose a - 4*a + l = -442, 2*l = d*a - 288. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -2)*-707*2748\/(-3206). Which is bigger: r or -618?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 140 + 70?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n = -0*n + 6078781. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133025653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14472 = 92*z + 15944 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3077437226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 - 10. Let f(s) = -s**2 + 3. Determine -2*d(t) - 7*f(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 112 (c) 5 (d) 156 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*t + 173*t = -3*i + 2742, 0 = -t. Is 914 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -66*q. Let j(t) = 27*t**2. Determine j(b(h)).\nAnswer: 117612*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425733154.\nAnswer: 2, 7, 11, 197, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-87))\/((184\/(-16))\/(-23))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -c + 2*c. Suppose 3*d = s + 2, -1 - c = -4*d + 5*s. Suppose 2*x - 13 - 11 = d. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 16 = -6*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67.22947 + -64.3293. Let f = -2.9 + j. What is f rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*j + 564*j - 58*j - 409*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) -0.2 (d) 1\/4 (e) 0.0659 (f) 0.33 (g) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/16821 (b) -1451 (c) -1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -81, -160, -255, -360, -469?\n\"Answer: g**3 - 17*g**2 - 13*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 2*z**2 - 41*z**3 - 274*z + 274*z to w*z + g + j*z**2 + i*z**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hff when three letters picked without replacement from {h: 5, f: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 55554 = -4*p, 5*f = -p + 53875 + 84955. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Let v = 5 - w. Which is the closest to v? (a) -1\/2 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 103 - 23. Let y(j) = j**3 - 21*j**2 + 24*j - 24. Let l be y(b). What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -258, -386?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13016.936 + -12893. Let n = -124 + k. Let q = n - -0.064. Which is the closest to 1? (a) 2\/7 (b) 5\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100*y**3 - 4*y + 303*y**3 + 4*y + (-3*y - y + 3*y)*(-2 + y**2 + 2).\nAnswer: 202*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/20 - 3*x**4\/8 + x**3 - 2*x**2. Factor p(u).\nAnswer: 3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4047, -8103, -12159, -16215, -20271, -24327?\n\"Answer: -4056*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*s - 4*n - 8, 4*n = -s + 18. Let k be (s + -7)*(1 - 1). Suppose a + k = 3. Calculate the remainder when 7 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 4*o - 4. Let i be t(4). Which is the third biggest value? (a) 76 (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -78. Let b = 297 + 312. Let d = s + b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d - 11. Let z be b(13). What are the prime factors of 10318\/z + (-4)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-74 + -1699)*(1 + -2)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) 4 (c) -3\/4 (d) 31 (e) -0.5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998639 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) -0.2 (c) -1 (d) -1109538\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71442)\/13122 + (-10)\/(-2))\/(-8*(-7)\/6).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9104 + -1\nAnswer: -9105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629 = 81*p + 24*p + 1366 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 4*a + 55. Let x(n) = -2*n**2 + 8*n + 9. Let w(p) = p**2 - 4*p - 5. Let v(r) = a*w(r) - 2*x(r). Determine v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3128*j**2 + 2427*j.\nAnswer: 6256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1671*o**3 - 22*o**4 + 414*o**3 + 415*o**3 + 414*o**3 + 420*o**3 + 4249*o wrt o?\nAnswer: -264*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 4 - 4)*(-3*c**2 + 3*c**2 - 3*c**2 + 6*c**2 + c**2 - 2*c**2 + (-3*c + 4*c - 2*c)*(-2 + 2*c + 2) + 1 - 1 - c**2).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 + (-897)\/(-33). Let k = 10 - 5. Suppose -k*g + x + 113 = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*x + 28. Let o be (1 - 3)\/(6\/9). Let w = x - o. Solve 0 = -2*f + w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p + 2. Let m = -1 + -5. What is the least common multiple of g(m) and 212\/52 - (-6)\/(-78)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11133.\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/34)\/(-33)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*p - 2 + 8, 2*w + 4 = 5*p. Suppose p = -2*t + 2*y, 4*t + 0 = 5*y - 1. Suppose -10 = 2*m + 8*m. Sort m, 5, t in decreasing order.\nAnswer: 5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 28, -1\/12, -0.037 in descending order.\nAnswer: 28, -0.037, -1\/12, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41*38*((-117)\/(-27))\/(-13)*-1. Is i less than or equal to 518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 10. Let p be m(10). Let j = -14 - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.17 - 106.67. Which is the closest to 2? (a) -2\/7 (b) 0.52 (c) o (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*l - 6, 0 = -2*q + 4*q + l - 2. Solve 2*c - 13 = 3*b, 4*c + 24 = -4*b - q*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u + 7 = 0. Let r = u + 13. Let l(f) = 9*f**2 + 15*f + 15. Let t(h) = 4*h**2 + 7*h + 7. Calculate r*l(j) - 13*t(j).\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-603)\/(-28341) - 0\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 57 = -3*g. Solve -3*w = -4*o + 26, -g = -4*o + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*u = 634*u - 637 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 4\/9, -8.\nAnswer: -8, 4\/9, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505 + 222*o**2 + 505.\nAnswer: 222*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 39*c**2 - 6*c - 2. Let p = -706 - -666. What are the prime factors of n(p)?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -11\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -68990?\nAnswer: -68990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 51*s**2 + 46*s - 142. What is u(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.729 + 3.531. Let z = v - -0.198. Sort 3, -33\/2, z.\nAnswer: -33\/2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460325+0.3\nAnswer: 460325.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -293, 12, 4, 33, 1 in decreasing order.\nAnswer: 33, 12, 4, 1, -3, -7, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2.3, -11\/7, -3\/5 in ascending order.\nAnswer: -2.3, -11\/7, -3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 6\/((-12)\/(-202)) - 5. What is the greatest common divisor of y and 5895?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82694552 and 291178?\nAnswer: 82694552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161306529?\nAnswer: 3, 2753, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -83. What is the highest common factor of 57 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.385677 weeks in nanoseconds?\nAnswer: 1442857449600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 6972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194716443 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186751\/2088 - -2628\/29. Let f = -13\/8 + p. Which is the biggest value? (a) f (b) -0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:55 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -107046373672 and 319.\nAnswer: -107046373353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -435*c**2 - 797*c**5 - 184*c**2 + 174*c**2 wrt c?\nAnswer: -47820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 26427 = -7*d - 5*m, 4*m + 13194 = 2*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138831018?\nAnswer: 2, 13, 43801193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**4 - s**3 - s**2 - s. Let u(t) = 110*t**4 - 4*t**3 - 37*t**2 - 4*t. Let a(i) = -4*g(i) + u(i). Find the third derivative of a(p) wrt p.\nAnswer: 2544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 601 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238186 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: Express -869*c - 1647*c - 1463*c + (3 + 2 - 3)*(c - 2*c + 0*c) + 0*c - c + 2*c as v*c + q and give v.\nAnswer: -3980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225967 is divided by 2690.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121081*a**6 - 43*a**5 + 77199644*a**2.\nAnswer: 14529720*a**3 - 2580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229 and 13511.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95.9 + -97.6. Let c = 1.3 - 1. Let i = u - c. Is 2.3 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 5. Let r be q(-3). What is the least common multiple of 9\/36*-1 + 33\/4 and 23\/3*(r - -5)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + 5*-1*sqrt(384) + sqrt(384) - -6*(sqrt(384) - (sqrt(384)*2 - sqrt(384))))\/((sqrt(80)\/(sqrt(5)*1))\/sqrt(2)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180120, 180112, 180104, 180096?\nAnswer: 180088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*s - 75*s + 51*s in the form c + l*s and give l.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:53 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f**5 + 1800*f**4 + 23860*f**3 - 42960*f**2 - 865280*f - 476160 = 0.\nAnswer: -8, -4\/7, 6, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-48))\/(60\/1620)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/12 + q**3\/3 + 3*q**2 - 649*q. What is o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1936 and -71\/704.\nAnswer: 7744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.88 times 0.3?\nAnswer: -5.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 6*i - 5*i. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -115. Calculate the greatest common divisor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4936 by -1234.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66058.8616 + 66018. Let n = 37.86 + g. Let d = n + 3. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -32, -52, -90, -152?\n\"Answer: -o**3 - o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from {o: 5, c: 1, u: 1, w: 2, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -1\/20*t**5 - 5\/2*t**2 + 0 - 5*t + 0*t**3 + 0*t**4. What is the derivative of l(i) wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1635802 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 >= 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 2. Let q be j(6). Is (q\/(-12))\/(4\/(-2514)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3*(-30)\/(-36))\/(26\/13))\/((-7)\/(-476))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 120146.\nAnswer: 1\/4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**4 + 1186338*x**3 + 533*x - 47855 wrt x.\nAnswer: 12*x**2 + 7118028*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtf when three letters picked without replacement from {f: 1, x: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.189 + 0.011. Let z = 0 - 1. Which is the third biggest value? (a) x (b) z (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 609331023 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 44212.21611 to the nearest 100.\nAnswer: 44200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -87536, -349836, -786996, -1399016?\n\"Answer: -87430*p**2 - 10*p - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/8146451 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -158363.3 - -0.10691?\nAnswer: -158363.19309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124431622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90220349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 29 + 11. Let i(v) = 16*v**2 + v - 1. Let z be i(1). Solve -5*c - f = 3*h, -2*h + z = 2*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 15. What is the smallest value in -3, 1\/2, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56235 (base 15) to base 14.\nAnswer: 71b47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, b: 5}. Give prob of sequence mbmb.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1120 by -6.\nAnswer: 560\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-220)\/(-180))\/(2\/18). Solve -5*y + 18 + a = 4*m, -2*m + 17 = 3*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 20 = b, 0 = -2*b + 4*p + 112 - 76 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 59920?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 40*s**2 + 160*s + 142. What is t(-43)?\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awa. What is prob of sequence wa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) -17 (c) 190 (d) 1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 32*w**2 + 3*w - 101. Let y be s(32). Suppose 3*m + c = 1 + 8, -3*m - 5*c + 21 = 0. Sort 5, m, y in increasing order.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (((-3*sqrt(832)*2 - sqrt(832) - sqrt(832))*5 + -1 + -5)*-6)**2.\nAnswer: 138240*sqrt(13) + 47924491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from joxjxzjvcvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5936 + 8230. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 0.2, -11.\nAnswer: -11, -9, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 9602252*d - 115254054339380.\nAnswer: -(d - 24005630)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/60 + y**4\/6 - y**3\/3 - 6*y**2. What is the remainder when -2 - -9 - (-2 + 2) is divided by s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 114, 218, 322, 426?\n\"Answer: 104*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54873 is divided by 1635?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2109812 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 2, u: 8, i: 2}. Give prob of sequence rugu.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k\/k**(1\/21)*k)\/k*k*(k**(-17)*k)\/k assuming k is positive.\nAnswer: k**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 6*b + 34, -3*g + 5 = 2*g - 3*b. Suppose 4*q - 5 = -x, -4*x + 6 = -5*q - 14. Let y(t) = 5*t - x*t + 3*t. Give y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + ((-6)\/(-4))\/((-11214)\/58989). Is 0 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.866451ms to minutes.\nAnswer: 0.00036444085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13125757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*h**3 - h**2 - 62*h + 62*h + 2*h**4 + (0*h + 5*h - 3*h)*(0*h**3 - h**3 + 3*h**3) + 2*h**4 - 2*h**2 + 2*h**2 + 2*h**4 + 3*h**4 - 3*h**4.\nAnswer: 10*h**4 + 9*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 13 = -p - 4*d, -5*p + 4*d - 25 = 0. Let i(w) = w**2 + 6*w. Let k be i(-6). Let a be k*2*(-1)\/6. Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 310 - 133 - 140 + 17*k.\nAnswer: 2*k**2 + 17*k + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 26) + 0 + -3 + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = -11. Let i be 1*-1 - (10 + n). What is the nearest to -2 in i, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6078 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 20634, -4, 53, 5 in increasing order.\nAnswer: -4, 5, 53, 20634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3773 by 163964.\nAnswer: 3773\/163964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3335761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -632602 - -5363\nAnswer: -627239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -44, 118 in descending order.\nAnswer: 118, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5023698 and 65308074?\nAnswer: 65308074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 + 3. Let o = 3 - 2. Suppose -3*j - 8 = o. Let a be u(j). Solve -l = -a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1465.6*-18.3\nAnswer: -26820.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15393?\nAnswer: 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16.7*0.037\nAnswer: 0.6179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**3 - 2*m**3 - 2*m**3)*(m - m + 2*m) + 19*m**4 + 2025*m**3 - 2025*m**3.\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000436959 to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 9 + 1 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.28735 kilometers in meters?\nAnswer: 62287.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 1665*p**4*q - 187*p**2*q - p*q + 2*p - 14*q + 174312 wrt p?\nAnswer: 40*p**3 - 19980*p**2*q - 374*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.4 and 2409.79528719.\nAnswer: 2411.19528719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5765 is divided by 139.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 135 = 4*c + 5*o, 3*c + o - 91 = 0. Let n = 48 - c. What is the remainder when 62 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {k: 1, b: 1, c: 2, r: 2, d: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 931677037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1646225.\nAnswer: -3\/1646225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**31\/a)\/a*a)**(2\/145) assuming a is positive.\nAnswer: a**(12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5 + 4, 0 = 5*u - 3*b - 97. Calculate the greatest common divisor of u and 1000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -226, -342?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) -3 (c) 3\/4 (d) -2\/11 (e) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.02\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s*z**2 - 388521*s*z - 4179*s + 236 with respect to z.\nAnswer: 10*s*z - 388521*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 0.11. Let y = -2.12 + v. Let z = 0 - 0.1. What is the nearest to 1 in y, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17396?\nAnswer: 2, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 685 - 178. Let l = -507.00000112 + c. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let c be 9 + (-3 - -1) - 3. Let k(u) = -c*u + 2*u - 3*u + 4*u. Give a(k(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**7\/84 + 77*b**6\/30 + 79*b**5\/20 - 115*b**4\/6 - 773*b**3\/12 - 155*b**2\/2 - 62*b + 70. Find c, given that g(c) = 0.\nAnswer: -1, 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/180 and 19\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1938047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16924.679 and -1.48.\nAnswer: 16923.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 - -666132236\nAnswer: 666132239.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 67 + 21 = 12*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 47612.46 millimeters?\nAnswer: 4761.246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*o - 12 = 0, 0 = o + 2 + 1. Let r = -5.78 + 7.78. Suppose 6 - 31 = 5*d. Which is the closest to 0.2? (a) l (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8*l**(-2\/21))**14\/((l**(2\/5)*l)\/(l*l**4\/l))**31 assuming l is positive.\nAnswer: l**(2869\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 6. Let q be -14*344\/8 - -6. Let v = q - -8954\/15. Is m at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 + (-40040)\/(-819))\/((-1)\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15660 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-19) + 56888\/(-8645). Let z = -787\/105 - s. Calculate the common denominator of -119\/246 and z.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170369.4 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 2 t when four letters picked without replacement from ltlltlgelte?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let m(f) = 10*f - 10. Give -12*j(b) + m(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2127 or -2129?\nAnswer: -2129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-6)\/(-8)*60\/225. Which is the biggest value? (a) 4.07 (b) -2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 17147 = 3*d, -5*d - 11*n + 10*n + 28615 = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 0.65 (c) 729 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.1853 and -4.\nAnswer: 32.7412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4322 and -10\/33.\nAnswer: 142626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2049 + -1100. Let h = 945 - j. What is the closest to -12\/5 in 3, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 + -242. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 17*f**2 + 9*f + 15. Let n(u) = -u**3 - 8*u**2 + 4*u + 7. Let x(y) = -7*n(y) + 3*v(y). Let p be x(-5). Which is greater: p or -2\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 28 = 28. Suppose -8*b = -3*b - 60. Solve b = 3*m - c*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - 1. Let k = 11 + p. Suppose -3*t + k = -3. Solve -2*h - t = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*s = 2801*s - 124775 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -4*l + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, l: 1, d: 1, c: 1, x: 4}. Give prob of picking 2 n, 1 d, and 1 x.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6)*-1 + 382\/(-573)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(2\/19)\/q))\/q**(2\/7))**(-3\/14) assuming q is positive.\nAnswer: q**(-321\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 174 times -1124141\nAnswer: -195600534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 30 = 0. Suppose 0 = -z - 2*n + x, -z - 3*n + 9 = -4*z. List the prime factors of 0 + 4 + 2 + z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148740 and 150.\nAnswer: 743700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmcmqauqmuqmmccm. Give prob of sequence qu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from pppzpplapzppapplpld.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, 155, 604, 1469, 2888, 4999?\n\"Answer: 23*r**3 + r**2 + 7*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 14*u**2 - 2*u - 31. Let s be x(-14). Let p be s\/(-132)*(8 + 0). Factor 4\/11*v + p*v**2 + 0.\nAnswer: 2*v*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542843 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6665 divided by -3831.\nAnswer: 6665\/3831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 - 0.69. Let m = -0.8 - c. What is the closest to 0.1 in m, -3\/2, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1357 - -1900. Let n = 446 + u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15899, 15890, 15877, 15860, 15839, 15814, 15785?\n\"Answer: -2*u**2 - 3*u + 15904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 37*p**2 + 7 - 71*p**2 + 8*p + 35*p**2 - 14*p. Let d = -4 - -1. Let o be -2 + (d - -10) - -1. Give y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 52 = -0*u - 2*u, -u + 133 = 4*o + 2*u + 129 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3344 and -40405.\nAnswer: -43749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2. Let o(p) = 534*p**2. Calculate o(u(f)).\nAnswer: 8544*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/60)\/(1\/(-5)). Sort -5, -0.06, v.\nAnswer: -5, -0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 - 66*a - 76. What is t(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 3, 0.253?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4 + 61*i**3 - 2*i**2 - 4486*i?\nAnswer: -36*i**2 + 366*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from wiwvnvinvivwvwv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(416) + (sqrt(416) - sqrt(416)*2) + sqrt(416)) + sqrt(416) + -5*(1*sqrt(416) + sqrt(416) - sqrt(416)))\/(-4*sqrt(16)\/(sqrt(8)\/sqrt(4))*-6).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828726 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kpik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 703 and 296.\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21 = 5*o - 6, -17 = -2*o + 5*h. Let g be (2182\/o)\/(2\/(-16)). Let c = g + -61147\/14. What is the common denominator of c and -45\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724519155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160080 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - 6*l**2 - 3*l**4)*(7 + 0 - 3 + 3 - 1 + 1 + 3 - 3 + 1 + (-1 + 4 - 5)*(0 + 2 - 4) - 199 + 500 - 501).\nAnswer: 564*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1195\/242 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 66 + d - 125 + 61 + 23*d**2. Let m be b(-1). Solve -1 - m = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 40*z**2 - 7. List the prime factors of j(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 23. Let x be l(-8). Let q be x\/(-12) + 9\/(-36). What is the units digit of (62 - 4) + -4 - q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) 2 (d) -4\/3 (e) 24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**2\/4 - 75*a\/4 - 39\/2 = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**6)**47 assuming i is positive.\nAnswer: i**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186\/4*(9 - (-67 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let h(g) = 10*g - 2. Determine u(h(m)).\nAnswer: -10*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376 - -312. Let n = -47 - z. Solve 5*a - 5*v = 25, -3*a - 2*a + 3*v = -n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.97 * -0.34.\nAnswer: 0.6698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 6:36 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + -5 - (3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 189*i**2 - 739*i - 177. Determine s(185).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120367827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66564, -66574, -66584, -66588, -66580, -66554?\n\"Answer: f**3 - 6*f**2 + f - 66560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 1. Let q(x) = 4. Let s(k) = 5. Let f be 20\/2*4\/(-8). Let p(l) = f*s(l) + 6*q(l). What is g(c) - p(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 414060323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26825, 50989, 75153, 99317?\n\"Answer: 24164*g + 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.5143 microseconds in seconds?\nAnswer: 0.0009355143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 13*g - 19. Give m(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 18 (b) -0.3 (c) -0.6 (d) -5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 7. Let s be q(-6). What is the second derivative of -s*l - 3*l + 4*l + l + l**4 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/11 + 1164*h**3\/11 - 171656*h**2\/11 + 662388*h\/11 + 835210\/11 = 0. Calculate h.\nAnswer: -1, 5, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/21, -26, -2, 5, -0.2, 66, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(21*v - 67*v - v).\nAnswer: 141*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12780, 26793, 40806, 54819, 68832?\nAnswer: 82845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let l(g) = 3*g**2. Calculate n(l(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 180 = 48*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 - z**5 - 5*z - z**5 + 5*z + (-z**5 + 0*z**5 + 3*z**5)*(2 - 2 - 1) - 139*z - 49*z**5 + 139*z.\nAnswer: -53*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyoo when four letters picked without replacement from {y: 1, h: 3, v: 1, o: 5, j: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124995 and 10023?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12583 - -12809. Solve g*a + 120 = 211*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*j - 14 - 17, -3*j + 2*d = -13. Suppose -j*v - 12321 = -16*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {m: 1, e: 4, w: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*(-28)\/175*5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251 (base 7) to base 5.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:16 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 11 - 23. What is the hundreds digit of 289 - 6\/(-6)*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180284855 or 180284854?\nAnswer: 180284854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 - u - 22. Let v be g(9). Calculate the greatest common factor of 325 and v.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*l = -3*m - 394*l - 3, m - l = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 1:56 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/30 and -49\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 4. Let c(p) = -p + 1. Calculate b(w) + 6*c(w).\nAnswer: -10*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33450 and -0.78.\nAnswer: -26091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n - 3. Let k = -20 - -6. Let z = k + 16. Does 11 divide u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -9*b - 720. What is the remainder when 598 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 593.985582096 + -602.985582. Let n = -9 - b. Round n to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168784 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*h**3 - 23*h + 4.\nAnswer: 516*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2406844, 1\/8, -0.06?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y - 35 = 5*t, -y + 5 = 0. Let c be 3\/t*(-32)\/12. Solve -j + 11 = -3*n - 6, -4*n - 28 = -c*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 - 7*f**2 + 24*f - 4. Let a(l) = l**3 + 4*l**2 - 4*l - 1. What is -6*a(g) - s(g)?\nAnswer: -g**3 - 17*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/36994750 and -127\/3000.\nAnswer: 443937000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -94, -336, -804, -1570?\n\"Answer: -12*j**3 - 5*j**2 + 11*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/3*24\/10. Suppose 4*a - a - g = 0. Suppose -3*l = -3*k - 39, 22 = 3*l + 4*k + a. Calculate the highest common divisor of l and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxexxmfszffmzzzemfzm. Give prob of picking 1 m and 1 x.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 + 15*m + 15. Let d(i) = i + 1. Determine 45*d(p) - 3*z(p).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-40) + ((-2)\/399*77)\/(16\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5033560?\nAnswer: 2, 5, 7, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123070 and 155?\nAnswer: 123070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 6*l + 7. Let u = 4 + 1. Let i be v(u). Let d be (-2)\/(-4) + (-5)\/10. Solve d = -2*n + n + i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2892, -2947, -3002, -3057, -3112?\n\"Answer: -55*j - 2837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 0*m**5 + 0 - 11\/3*m**4 + 0*m**6 - 82*m - 117\/56*m**8 + 0*m**3 + 0*m**2 + 0*m**7. Find the third derivative of n(l) wrt l.\nAnswer: -14040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 3, c: 6, q: 1, k: 6, p: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15929 or -14?\nAnswer: -15929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m - 8 + 22*m + 19*m + 4*m**2 - 2*m**3 - 56*m + 10*m to the form k*m**2 + d*m + i*m**3 + c and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + (-2104)\/(-792)*-3. Sort s, -6, 5\/4 in descending order.\nAnswer: 5\/4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925 is divided by 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -47, 11, -68 in descending order.\nAnswer: 11, -4, -47, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1078 or 18?\nAnswer: 9\/1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300212 and 40.\nAnswer: 3002120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 170*p**2 - 325*p - 4340.\nAnswer: -5*(p - 31)*(p - 7)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + u**3 - 3*u**3)*(12 - 7 + 1)*(-1 + 1 - 1)*(-2 - 3 + 4).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2 - 4*o + 4. Let b(q) = 48*q**2 + 33*q - 33. Let r(m) be the first derivative of -m**3\/3 + 33*m - 49. Let g be r(0). Calculate g*c(t) + 4*b(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2718 divide 895697170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.065 (b) -1\/33 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, k: 2, t: 4, h: 3, j: 1}. What is prob of picking 1 e and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 612853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*a + 9, -4*a + 5*u + 2 = 4. Let h(r) = 10*r + 1. Let t(j) = 11*j + 2. Let m(b) = a*t(b) + 4*h(b). Is 4 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3564 divided by -891?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/(1972\/(-174)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) -3 (b) 5\/6 (c) 0.1 (d) -142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 250\/11 or 22?\nAnswer: 250\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100111110000011 (base 2) to base 3.\nAnswer: 110200120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1547 and 1904.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 675 = -627. Calculate the lowest common multiple of 21 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, v: 1, z: 1, n: 2, b: 1}. Give prob of picking 1 v and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20367512.\nAnswer: 2, 11, 23, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -703*t**4\/12 - 56*t**2 + t - 2. Let q(y) = y. Calculate l(q(d)).\nAnswer: -1406*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let g(a) = -12*a + 2. Determine g(u(t)).\nAnswer: 12*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b692 (base 13) in base 8?\nAnswer: 61324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2172, -2050, -1678, -930, 320?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 26, -8, -3 in decreasing order.\nAnswer: 26, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0350088 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510941, 510940, 510939, 510938, 510937, 510936?\nAnswer: 510935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37722 at least as big as 27064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -77\/2, -0.5, -2752, 5?\nAnswer: -2752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5768*p - 12. Let g(d) = 27755618*d - 57740. Give 14435*c(b) - 3*g(b).\nAnswer: -5774*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -17*t + 18*t. Let y be (-2)\/7 - 18\/(-14). Suppose t - y = i. Solve s - 3 = 5*o + 15, i*o + s + 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15956*i - 937*i - 354*i.\nAnswer: -17247*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/(-8)*14\/21\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4460, -4420, -4380, -4340, -4300, -4260?\nAnswer: -4220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 4*v, 5*p - 10 - 5 = 3*v. Let y(r) = 3*r**2. Let i be y(1). Let g(w) = 2*w - 4*w**2 - p - w**3 - 6*w + 0*w**i. Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 88 = -6*l. Let y(j) = -24*j + 10. What are the prime factors of y(l)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.055005 millilitres?\nAnswer: 0.007055005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/11316837 and -9\/15089116?\nAnswer: 45267348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29366.8 + -29375. Which is the nearest to -0.1? (a) 3 (b) 7 (c) j (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -268, 18 in decreasing order.\nAnswer: 18, 3, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - 4*o - o + 2*o - 3*o + (2*o - o - 2*o)*(-2 + 5 - 1))*(-26*o**2 - 121*o + 121*o)*(-3 - 2 + 4).\nAnswer: -156*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4124*z + 160939. Determine r(-39).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 5, 15543, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24272? (a) 2 (b) -0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87\/14 - -29\/28. What is the common denominator of l and 50\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6074920 is divided by 294?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*-3*(-132)\/924?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 10) to base 9.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -5, -130\/7, 0.4, -2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 400 - 96 = 0. Suppose 2*t + 2*t - b = 0. Suppose t*o - 30*o - 22 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948605.\nAnswer: 5, 11, 53611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -187755019 * 5\nAnswer: -938775095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h*r + 2*h*w + h - 47481*r*w - 3817*r + 1 wrt w.\nAnswer: 2*h - 47481*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 6:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/8 + 761190*c + 3044761\/2.\nAnswer: -(c - 6089522)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3628\/77 + 326\/7. Which is smaller: x or 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2894 and 1.25.\nAnswer: -3617.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from llllaa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(-4 - (0 - (-249)\/(-63))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 13932666\nAnswer: 5\/13932666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2, 2, -1 in descending order.\nAnswer: 2, -1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n - 3*n)*(0 + 0 + n + (-1 - 3 + 1)*(-1 + 1 - 2*n) + 2*n - 2*n - n) - 114*n**2 + 5 + 115*n**2 - 8.\nAnswer: -5*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b3 - -2?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 + n**4\/6 + 4*n**3\/3 - 33*n**2 - 2*n. Determine f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 0, -1\/4, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (123 - 1)*4\/(-8). Let r = 65 + g. Suppose -2*o + 326 = -r*q, -2*o + 3*q = q - 318. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-5 + -22)) + (3 - 9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1664 and 35264.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - 2*u. Let v(i) = -2*i**3 - 4*i**2 + 3*i. Let m = 637 - 662. Let s(y) = 14*y + 347. Let z be s(m). What is z*x(p) - 2*v(p)?\nAnswer: p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 + 4*n**2 - 12*n. Calculate the remainder when 31 is divided by s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 40 (b) 1.18 (c) -12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2816189, -2816213, -2816227, -2816225, -2816201, -2816149?\nAnswer: -2816063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 15*h**2 - 13*h - 13. Let k be o(14). Sort 5, 43, k in descending order.\nAnswer: 43, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(875\/(-14)))\/((-26)\/10)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1101548026 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074697115 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h + 1671459 = 1671615 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, m: 1, u: 5, d: 4, y: 1, b: 1}. What is prob of sequence uyj?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**4 + 81607*a*f**2 + 23589*f**2 wrt a?\nAnswer: 4*a**3 + 81607*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -397208 divided by -14186?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5\/2))**33)**(1\/25) assuming g is positive.\nAnswer: g**(-99\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 7, z: 2, t: 4, u: 2}. Give prob of picking 1 z and 1 t.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from aarkarooohihii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 940*s**6 - 20*s**3 + 4931*s**2 - 5*s wrt s.\nAnswer: 112800*s**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1998 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 608 and 27153166?\nAnswer: 434450656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -263*(-14 - -44)*2\/(-6). Is -2\/7 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/(-4))\/(2\/52800). Suppose -b - 3*b = j. Round b to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109383008*f**3 + 15069516*f**2 wrt f?\nAnswer: -656298048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 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: List the prime factors of 5625079.\nAnswer: 17, 330887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 7. Let k(o) be the third derivative of 5*o**4\/24 + 491*o**2. Give k(j(q)).\nAnswer: -5*q + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j + 114*j + 56*j = -3111 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3526 and 602.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-618)\/(-8))\/(3\/(-10)). Suppose -2*y + s = 3*v + 2*y, -5*v + 4*y + 805 = 0. List the prime factors of v.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 47 = 19. Let s = -141 + 43. Let w = s - -97. Which is the nearest to o? (a) 0.1 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 29036?\nAnswer: -27\/29036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/260)\/((-8)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -4.7812.\nAnswer: 6.7812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8977, 9257, 9631, 10147, 10853, 11797, 13027, 14591?\n\"Answer: 8*q**3 - q**2 + 227*q + 8743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119947501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) - (0 + sqrt(1008)))) + sqrt(35)\/(sqrt(5)*1) + sqrt(84)\/sqrt(108) + sqrt(21)\/sqrt(3) + 4)**2.\nAnswer: 344*sqrt(7)\/3 + 13087\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 424*c + 2566. Let v be z(-6). Let t be 1\/(-1 + 2) - -326. Suppose -v*f = -19*f - t. List the prime factors of f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*m = 16, 3*d - 2*m + 18 = 8*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 165 = 4*r. Let d(s) = 88*s**2 + 55*s + 33. Let n(t) = 11*t**2 + 7*t + 4. Let l(b) = r*n(b) + 4*d(b). What is the second derivative of l(a) wrt a?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 51*u - 2560. Calculate the lowest common multiple of u and 1352.\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - 17 - -101) + 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 18492995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)*(-12)\/24. Suppose -1 = 2*t + 3. Let q(j) = -j + 1. Let x be q(t). Solve 2*p - 21 = -5*s, o*p + 9 = 3*s + x*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -718405.83 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 2*z**2)*(6*z**3 - 2*z**3 - 2*z**3) + (-6 - 4 - 7)*(6*z**5 - 3*z**5 - 2*z**5).\nAnswer: -15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*q = 29, 3*h + 8*q = 3*q + 10. Solve 0*t + t = c, -h*t = -c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -476 + 449. Let t = -26 - 2. Is u at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1316 and -77\/18236.\nAnswer: 127652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w - 250510 + 125236 = -128398 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h - 461. Let v be j(-22). Put -3, v, 34, 0, -5 in decreasing order.\nAnswer: 34, v, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {q: 1, s: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - (-7)\/3. Let h(c) = 2*c**2 + 7*c - 2. Let g be h(-6). Suppose -2*k + g = o*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.219509kg in micrograms?\nAnswer: 7219509000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + (6*6*(sqrt(180) + -1 + sqrt(180) + -5))**2)*6.\nAnswer: -1119744*sqrt(5) + 5878668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665258 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 14. Which is the second smallest value? (a) -1\/9 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323992*u + 647977*u - 323992*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 47, 3, 3314, -3 in increasing order.\nAnswer: -4, -3, 3, 47, 3314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -387 - -522. Suppose 2*v - 7 + 3 = 0. Suppose 0*u - 108 = -v*u. What is the greatest common divisor of i and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 4*q - 8*q**3 + 0*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6 and -55\/1668.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -35, 2, 1\/2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 79*h + 104. Let g be i(-16). Solve 0 = 343*c - g*c + 7 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245620?\nAnswer: 2, 5, 312281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*y**2 + 307*y**2 - 628*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -312 - 1?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2131\/498 or 3?\nAnswer: 2131\/498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - k = k - 1038, -5*z + 2595 = 3*k. What are the prime factors of z?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 4*k + 5. Let o be d(1). What is the closest to 1\/4 in 3, 2\/27, o?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32550, -32561, -32572, -32583, -32594?\nAnswer: -32605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10961.38 - 11321. Round v to zero dps.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 47031\/21 - (-320)\/224. Calculate the greatest common factor of s and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8474 and 0.7.\nAnswer: -8473.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 1, l: 7, i: 2}. What is prob of sequence leew?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1744 - 7031\/4. Let c = w + 14. Find q, given that 1\/4*q**3 + 1\/4*q**4 - 1\/4*q - c*q**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 9*u = -60. Suppose 0 = -3*c + 4*h + 2905 + 4422, u*h + 16 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51883 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: Evaluate (-14 - -11) + (-3 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4. Suppose 2*b = -2*b - 12. Let d be f(b). What is the greatest common divisor of d and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0569 times -109.99\nAnswer: 6.258431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 19. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 667 and 3043144?\nAnswer: 69992312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -5*s**3\/3 + s**2 - 2*s - 262. Let p(h) = 4*h**2 - h + 2. What is 2*d(r) + 3*p(r)?\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 59 = -2*o, -27*k - 2*o = -23*k - 40. Solve -n + 11 = -3*c, c - 16 = -4*n - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 2. Let j be (p\/(-15))\/((-2)\/(-10)). Let r = j + -1. Let m(s) = s**3 + 6*s**2 + 4*s + 3. Calculate m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1480*n**2 + 498*n**2 + 993*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17321\/2 or 8662?\nAnswer: 17321\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1250524122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 21*s - 396 = 4*g, -5*s - 5*g = -405. Suppose -2*v + 3*d = -s, -3 = -5*v - 3*d + 155. Calculate the remainder when 779 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -94)*(78\/(-390) + (-92)\/15). What is the highest common divisor of o and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/12*(6\/105)\/((-24)\/56)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) + 2 - sqrt(112)) - sqrt(7)) + sqrt(7) + 4*(sqrt(7)*4 + sqrt(7)) + sqrt(7) + 1 + (-1*sqrt(448)*-1)**2.\nAnswer: 25*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (31 + -7)\/4 + (-7)\/(-21)*-15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7073 + 7059 - (0 + 0 + (5 - 6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (3*sqrt(228)*1 - sqrt(228))) + sqrt(228))\/(sqrt(1728)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gksgssgkggskgg. Give prob of sequence kkks.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/(-18) + (-60)\/(-6))\/(6\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 117*s**2 + 60*s - 116. What is d(58)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:43 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -1, -4, 2.\nAnswer: -153, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h - 5*a, 6*h - 5*a = 5*h + 5. Let t(b) be the first derivative of b**4\/4 + b**3\/3 + b**2 + 35*b + 2. Is 16 a factor of t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 859300*k**2 - 859297*k - 214824 = 0 for k.\nAnswer: -214824, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/(-280))\/(7\/(-196)*-6)*63)\/2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 791*j**2 + 395*j**2 - 562 + 393*j**2.\nAnswer: -3*j**2 - 566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 4*a**2 + a + 4. Suppose -f = -w + 5, 3*w - 2*f - 3*f = 17. Let c be h(w). Calculate the common denominator of 3\/c*210\/7 and -149\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85083107.\nAnswer: 101, 842407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 4200*r**4 + 878765*r**3 - 3460260*r**2 + 2585700*r = 0 for r.\nAnswer: -1014, 0, 1, 3, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -34*p + 30*p + 24, -p + 2 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9306, 9349, 9424, 9531?\nAnswer: 9670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*p - 9460 = -985*p + 6536 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.13, -2, 2, 0.136, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12*4*-1. Put h, -6, -0.5 in descending order.\nAnswer: -0.5, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4585 is divided by 184?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 4*q + 3. Let a be (0\/(-1))\/(22 + -24). Let g be r(a). Solve 2*f = 5*z - 0*f - 31, -g*f - 24 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(56\/(-14)*-13).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1304 and 14378556.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4823 - -4829. Let t be -2*1 - (-63 + 0). Suppose 35 = l*j - t. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 2*n - 1. Let b be v(-1). Solve -4*s + 2*y + 14 = b, 2 = 2*s - 5*y - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13814 or -13813?\nAnswer: -13813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.9. Let u = g + 2. Let h = 8 - 12. Sort u, -5, h.\nAnswer: -5, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -93*a**2 - 4. Let f(p) = 13483*p**2 + 582. Let d(c) = -2*f(c) - 291*i(c). Let g(b) = b. Calculate g(d(s)).\nAnswer: 97*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 0. Sort d, -4, 2 in increasing order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3 - 608*i**2 - 15312*i = 0. Calculate i.\nAnswer: -22, 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 + 9*q + 4. Let p(y) = -10*y**2 + 46*y + 21. Determine -11*n(i) + 2*p(i).\nAnswer: 2*i**2 - 7*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 - 7. Let h be l(-5). Suppose 2*k - k - 3*u = h, -u - 461 = -3*k. Suppose -4*o + 4*f + 668 = 0, -o + 0*o = 2*f - k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 103. Let k(u) = 3*u + 0 - g*u - 6*u - 1. What is k(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -335 - -332. Let p be (-3)\/(-5) - 8\/((-40)\/l). Let a = -2 + 8. Put p, -4, a in descending order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**7\/840 - y**6\/40 - 9*y**5\/40 - y**4\/8 + 3*y**2. Let f(v) be the second derivative of h(v). Factor f(i).\nAnswer: -3*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {h: 5, r: 1, w: 1, j: 12}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 78. What is the third derivative of -67*g**5 - 20*g**2 + 4*g**2 - 9*g**2 + 74*g**z wrt g?\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1123732535.6 to the nearest one million.\nAnswer: 1124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 21\/2 - 73\/4*f**3 + 73\/4*f - 37\/4*f**2 - 5\/4*f**4 = 0.\nAnswer: -14, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**6\/360 + x**5\/15 - 5*x**4\/24 - 10*x**3\/3 + 1. Let b(w) be the third derivative of s(w). List the prime factors of b(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120222 (base 3) to base 13.\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -4, -0.236, 2.9, -0.03, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.8747 litres in millilitres?\nAnswer: 599874.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -944247 * 351\nAnswer: -331430697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 36 = g - 3*q, -4*g = 4*q + 24. Let j = 13 + g. Suppose 5*o = -3*s + 22, -2*s = -3*o - 3*s + 14. Solve t - 5*k + 2 = -j, o*k - 10 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -28.07\nAnswer: 84.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -1. Let h be (-1)\/7 - (b + 1). Let k = -2.3 + 2. Sort 0.4, h, k in ascending order.\nAnswer: k, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20406*g + 20771. Calculate r(1).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(3 - 3 - 6) + 6 + 1 + 0)*(-2 - 1 + 1)*(456*o**3 + 21*o**5 - 456*o**3).\nAnswer: -798*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 2, n: 1, l: 1}. What is prob of sequence lnnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346753790.\nAnswer: 2, 5, 89, 167, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 41*r**4 + 243*r - 264*r**4 + r**3 - 243*r + 249*r**2 wrt r?\nAnswer: -7320*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18579922, 18579937, 18579978, 18580057, 18580186, 18580377?\n\"Answer: 2*l**3 + l**2 - 2*l + 18579921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4 = -5*d, -3*d = -d + 4*g + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = -3*d. Find the common denominator of (-145)\/(-126) - (-18)\/(-81) and (d\/(-40))\/((-18)\/(-1155)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 2512 = 4*b, 0 = -4*v - b + 2527. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3264 and 34867272?\nAnswer: 278938176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -11*y**5\/2 + 4231*y**4\/2 - 271678*y**3 + 11705600*y**2 - 7241728*y - 4194304 = 0.\nAnswer: -4\/11, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.4. Let h = 0 + k. Let q be (-1)\/3*(-2)\/(-2). What is the biggest value in -2\/3, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 - 20*j**2 + 5*j + 30 = 0. What is j?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5835, 2679, -475, -3627, -6777, -9925, -13071?\nAnswer: -16215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/273575 and 25\/318053.\nAnswer: 246491075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605570.4nm to kilometers.\nAnswer: 0.0000006055704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-13 + 19 - (-1 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263147166?\nAnswer: 2, 3, 641, 22807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((800\/720)\/(5\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 4540. Suppose 9*n - 4*n = -u. Let g = n + 655. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 11 = 3*t, 5*a + t - 2*t = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28536863, -28536895, -28536977, -28537133, -28537387, -28537763, -28538285?\n\"Answer: -4*l**3 - l**2 - l - 28536857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 192?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -8, 26, 100, 226, 416, 682, 1036?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 20552*n + 122941. Determine z(-6).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 1, n: 2, a: 1}. Give prob of sequence nnw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 11*l + 12. Let v(y) = 2*y**3 + 4*y**2 - y - 3. Let p be v(-3). Let u be 1\/(((-8)\/p)\/(-4)). Is 10 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0*c - 238*n - 55 = 230*n - 463*n, -589 + 1 = 42*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-2 - 2\/(-1)). Let w(o) = 11*o**2. Let t be w(a). Solve -1 = 4*d + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from toqxzdq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250360 (base 8) in base 15?\nAnswer: 1c8dbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2 + 7*c + 278 wrt c.\nAnswer: 14*c + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 1, q: 1, e: 4, u: 2}. Give prob of sequence zee.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 + 2 + -123)*(-2)\/(12\/87) is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 13, j: 5}. Give prob of picking 1 k and 1 j.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 5*k - 4*w + 18, 3*k - 15 = -2*w. Solve -k*z + 12 = 0, -z = -6*b + 3*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (305 - 603 + 4*n + 297)*(n**4 - 2*n**4 + 2*n**4 + (3*n**4 + n**4 - 3*n**4)*(0 + 4 - 2)).\nAnswer: 12*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -21. Factor -32*x**2 + 6*x + 8*x - 4*x**3 + o*x.\nAnswer: -4*x*(x - 1)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331782 divided by -435\nAnswer: -110594\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -201*u**2. Let w(f) = 46*f**2 + 3*f. What is w(y(s))?\nAnswer: 1858446*s**4 - 603*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 2*y**2 - 1. Give h(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4489493*h*r**2*u**3 + 3*h*r**2*u**2 + 2249*h*u**3 + 458*h*u wrt r.\nAnswer: -8978986*h*r*u**3 + 6*h*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 26*h**2 - 78*h + 54.\nAnswer: -2*(h - 9)*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*c - 328*c + 192*c.\nAnswer: 164*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/6 + u**4 + 344*u**3\/3 + 2*u**2 - 1036. Differentiate k(m) with respect to m.\nAnswer: 20*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.1, 2\/13, -33\/7, 0.63?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45496 and 363968?\nAnswer: 363968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 - 164. Suppose -r*c - 62 = -3*d + 41, 3*d = 5*c + 101. Is d a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246\/190 + 4776\/45372?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 295?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 + 47726*c + 3*c**2 - 47696*c - c**2 to the form m*c**3 + r*c + i*c**2 + f and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + (sqrt(110)*2*-4 + 5*sqrt(110)*2)\/((-4*(sqrt(70) + (sqrt(70)*1 - sqrt(70))))\/sqrt(7)))*2.\nAnswer: -sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18133180 divided by 1438.\nAnswer: 12610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 24145?\nAnswer: -24143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2319 + 85809\/37. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220120 + 10?\nAnswer: -220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 6*f**2 - 10*f - 10. Suppose 0 = 98*d + 56*d + 462. Determine m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by (4 + -13)\/(-3)*9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18572 take away -4?\nAnswer: -18568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1602 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 4 + 5)*(4*n + 2*n - 4*n) - 1 + 5*n + 1 - 2*n - n + 5*n + (-130 - 7*n + 130)*(-3 + 3 + 1) - 4*n + 5 - 5)*(4*n**2 - 2*n**4 - 4*n**2).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**3\/h*h))\/(h**(-6\/11)*h*h))**(-25)\/((h**3*h**5)\/((h*h**(2\/13)\/h)\/((h**6\/h)\/h*h))) assuming h is positive.\nAnswer: h**(6938\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i + 7*i + 913 - 110*i**3 - 12*i - 897 as s*i**3 + b*i + k*i**2 + j and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.9 - 22. Let u be 130\/(-35) - 6\/21. Let r be 1\/u - 9\/(-18). What is the smallest value in 0.5, 0.4, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2 - f - 1 - f. Let k(a) = 6*a - 2. Suppose 3*q = q + 16. What is q*w(h) + 3*k(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 145, 5, -1, 275, 3.\nAnswer: -1, 3, 4, 5, 145, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/6 - (-4)\/(-6). Differentiate 2 + 1 - p*i**2 + 2*i**2 + 7 with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 27 = -29*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 18 = 2*f, -5*w + 21 = 2*f. Let i(b) = -b**3 - 3*b**2 - 4*b - 2. Let k be i(-2). Suppose 0*u + k = 2*u. Solve -w + u = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 4*t + 2*t)*(-t + 3*t + 5*t - 1) in the form n*t + r + s*t**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1143338 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129\/650549 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -24*k**3 + 14. Let l = -37 + 40. Let x(y) = -5*y**3 + 3. Determine l*t(m) - 14*x(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v - 3. Let u(b) = 1. Let k be -3 + 2\/2 + 3. Let j(t) = k*f(t) + 3*u(t). Let i(a) = 6*a. Determine i(j(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = -7. Is 1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = -6. Suppose -192 = -4*o - g*p - p, -2*o + 93 = 5*p. What is the remainder when o is divided by (5\/(-45)*-39)\/(3\/18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -151*d**5\/20 - d**4\/6 + d**3\/6 + 6575*d**2\/2 + 36*d + 112. Differentiate c(b) wrt b.\nAnswer: -453*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 43*y - 9. Does 13 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:35 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 8. Suppose l - 2 = -10. Let p be h(l). Is 1\/34 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 835, 1672, 2509?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53027 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -302060555?\nAnswer: 302060567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549417, -549476, -549545, -549630, -549737, -549872, -550041?\nAnswer: -550250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2859 - 22875\/8. Sort 0.0565, n, 0.\nAnswer: n, 0, 0.0565","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 2*f + 3*f + (-1 + 1 - 2)*(-1 + 1 - f) + 2*f + 7*f - 7*f + 15 + 15 - 28 + 11*f + (-5*f + 3*f - f)*(-3 + 6 - 4).\nAnswer: 20*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23057581.\nAnswer: 29, 67, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 30?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 2, a: 7}. Give prob of sequence kk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v + 7. List the prime factors of l(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-104)\/2)*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 28*d**2 - 52*d = 0.\nAnswer: 0, 13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3213\nAnswer: 1\/3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 113*z - 2713. Give d(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1520323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f - 4. Let a be (12\/18)\/((-1)\/(-36)). Suppose 5*l - p - a = 0, -4*p - 4 - 4 = 2*l. Let k be j(l). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuphhetpethu. What is prob of sequence upet?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -47. Let w(i) = -2*i + 1 + z - 3. Let h(c) = -10*c. Calculate w(h(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -z + 2*p - 2, 2*p - 2 = 0. Find the first derivative of -18*t**4 + 88*t**4 + z + 44 + 5 wrt t.\nAnswer: 280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.32, 0, -1\/4, 13, 0.069 in decreasing order.\nAnswer: 13, 0.5, 0.069, 0, -1\/4, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:53 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24184 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5548328*j*n + 202764*n - 4 wrt j.\nAnswer: -5548328*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 52*y**2 - 411*y - 110. Calculate n(59).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 4)\/(4\/(-18)). Let w = t + 24. Let g be (3\/4)\/(3\/120). Calculate the greatest common factor of w and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -112. Let q be ((-3)\/2)\/(1\/(-2)). Let 4*b**3 - b**2 + 2*b**q - 3*b**3 + 4*b**s = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s. Solve s = i - 3 - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450625 > 1450626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 116307*f\/2 + 4419305\/4.\nAnswer: (f + 19)*(f + 232595)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 1 + 1)*(2*i + i - 5*i) + (-96*i + 4*i + 8*i)*(-2*i + 7*i - i).\nAnswer: -332*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 8*g**2 + 6*g - 6. Let q be c(7). Let j = 15 + q. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x - 1. Let w = 40 + -34. Let k be 5\/w - (-3)\/(-6). Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**4 - 4*h**2 + 2*h*j**2 + 48*j**2 with respect to h.\nAnswer: 16*h**3 - 8*h + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + 1 + sqrt(2299) + sqrt(2299) + 2*(2 + sqrt(2299)) - -5*(4*sqrt(2299))**2*4).\nAnswer: 44*sqrt(19) + 735680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025582?\nAnswer: 2, 19, 137, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(((t*(t**3*t*t)\/t*t)\/t)\/t)*t**(2\/3))**6\/(t**(-1)\/t*t*(t\/((t*t**(-4\/7))\/t))\/t*t*t\/(((t*t**(2\/3))\/t)\/t)*t*t*t**(6\/5)\/t) assuming t is positive.\nAnswer: t**(-1271\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3 - 996*l**2 - 24621*l + 25620 = 0?\nAnswer: -305, -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3561964, 3561962, 3561958, 3561952, 3561944, 3561934?\n\"Answer: -h**2 + h + 3561964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let f(o) = 4*o + 10. Let l(g) = -f(g) + 2*m(g). Let p = 1817 + -1813. What is the lowest common multiple of l(-7) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 + 20*y - y**2 + 11\/3*y**3. List the prime factors of w(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2856.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 5 + 6 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/7 - 48*l**2\/7 - 57*l\/7 + 102\/7 = 0. Calculate l.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*f**2 + 0*f**3 - 66*f**2 + 12 + 17*f**2 - 4*f**3.\nAnswer: -4*f**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81320.\nAnswer: 2, 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -182 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 14*s - 1962. Give f(29).\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.06 (b) 0.2 (c) -21 (d) -204 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 5 = 0. Let b(y) = y**2 + y + 1. Let n be b(-2). Suppose -13 = 3*c - p - 2, 0 = 2*c + 4*p + 26. Put n, c, h in ascending order.\nAnswer: c, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1082*h**2 - 820*h + 10. What is c(-1)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.48+0.13\nAnswer: 3.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**4\/8 + 117*k**3\/2 - 675*k**2\/4 - 1053*k\/2 + 12393\/8 = 0?\nAnswer: -3, 3, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + p + (-2*p - 1 + 1)*(-4 + 0 + 2) + 653*p + 534*p - 999*p to the form z + l*p and give l.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 15 = -z. Suppose 3*q - 42 = -z*t, 3*t = 4*t + q - 10. What is the units digit of t*3*(-2)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*r**4 - 411*r**3 - 641*r**2 - 3*r wrt r.\nAnswer: -864*r - 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 132*x**2 + 0*x**4 - 2\/105*x**7 + 0 - 1\/30*x**6 + 1\/84*x**8 + 0*x**3 + 1\/15*x**5. Factor t(w).\nAnswer: 4*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - 10*t**2 + 10*t**2 + (-5*t**2 - t**3 + 5*t**2)*(9 + 18 - 9).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 192, 221, 228, 207, 152, 57, -84, -277?\n\"Answer: -l**3 - 5*l**2 + 51*l + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 195 = -11*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.8 and -686.\nAnswer: -4664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 18 = -18. Solve 4*v = -16, 4*p + n*v = -16 - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01069836464 to 6 dps.\nAnswer: 0.010698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-9 + (-7 - -1) - (-8 - -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, x: 11, j: 2}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8 + 1*(-21)\/28. Suppose b = -3*u - i*u, -5*b = 0. Suppose 0 = s - 2*r - 0*r + 3, 4*r - 24 = -4*s. Solve 4*t + 13 + s = u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*z - 23, -6 = 2*y + 46*z - 48*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p = 72*p - 23*p - 225. Which is the fourth smallest value? (a) -3 (b) p (c) 5 (d) 0.177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102412 is divided by 12801.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 5 + sqrt(85)\/(sqrt(10)\/sqrt(2)) - sqrt(85)\/(-2*sqrt(500) + sqrt(500)).\nAnswer: 5 + 51*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 minus 0.04?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2478205 rounded to one dp?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(2 - 5) - -1. Suppose i = k*i + 6. Which is the closest to -0.2? (a) i (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f\/(f*f\/(f*f**(-5\/4))*f)*f)\/f))*f**(-15)*f**(-15)\/(f*f**(-4\/5)*f*f))**(-6\/7) assuming f is positive.\nAnswer: f**(2007\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11 + 4 = 0. Solve 0 = w - k*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k**3 + 18*k**2 - 3507*k + 4500899.\nAnswer: -12*k**2 + 36*k - 3507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200989 + -3617905\/18. Let k be (-1)\/(73\/(-36) - -2). What is the common denominator of (309\/20)\/(k\/5) and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 6, x: 4, c: 6, w: 1}. Give prob of picking 1 s, 1 i, and 2 x.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/46)\/(63\/(-2772)*8*(-33)\/(-12))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -293211814.637 + 293210594.63698641. Let t = -1220 - d. What is t rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244.1 + -244. What is the third biggest value in 0.3, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from 83410.\nAnswer: 83409.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/13 (b) -2\/11 (c) 4 (d) 6640 (e) 5 (f) 0.2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let v = 274576\/1521 + 43\/169. Let y = v + -181. Put m, 3\/5, y in ascending order.\nAnswer: y, 3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 9*h**2 - h - 6. Let p be d(-9). Suppose p*f - 196 = 4*y, -5*f = -2*y - 348 - 2. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/2, -0.3, -221 in descending order.\nAnswer: 1\/2, 0.4, -0.3, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 21. Suppose -30 = -2*z + x*h, h + 75 = 6*z - z. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*h - 2. Suppose -4*t + h*w = -90, -3*w - 57 + 164 = 5*t. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*b = -56 - 240, 0 = -3*b - 9. Suppose 3*s - d - 14 - 22 = 0, -4*s - 2*d + q = 0. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -9*v + 243. Solve 26*l + 4 = v*l - 4*m, 26 = 5*l - 3*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 47*p - 106. Let b be z(-21). Put 1, b, 3, -3, 2 in increasing order.\nAnswer: -3, b, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -5*l**3\/3 - 2*l**2 - 4*l - 10. Let a be u(-3). Let j = -23 - a. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = g - 2*f, -4*f + 4 = 2*g. Let b(c) = 2*c**2 + c**3 + 3*c**2 - 3*c**2 - 3 + 3*c. Is 7 a factor of b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62492 less than -62493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*n - 67*n + 6 - 36 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u**3 + 0 + u**3)*(265 + 67 + 827).\nAnswer: 2318*u**3 - 2318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s + 7. Let f be g(0). Let t = -14 - f. Let r = -15 - t. What is the least common multiple of r and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -3, 9, 2\/63, -9?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/7, 35, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-4)\/(-3)) + (-1114)\/2. Let p = -382 - v. Let g = p - 94. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 693 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j - 24*j + 15*j - 14*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.7. Let r = 20.2 - 2.2. Let h = r - 13. What is the biggest value in 0, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose x*r = 4*r - 40. Suppose -2*g = -3*g + r. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.5, -0.0197, -2\/13?\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4*a - 8 = 0, -360 + 357 = 2*f + 3*a for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/6773 + 6763\/33865. Let u(h) be the third derivative of -1\/105*h**7 - j*h**5 + 1\/15*h**6 - 4*h**2 + 0 + 1\/3*h**4 - 1\/3*h**3 + 0*h. Factor u(l).\nAnswer: -2*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*t - 16, l - 2*t + 8 = -2*l. Suppose l*g - 7*g = -1015. What is the greatest common factor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w**3 - 4 - 34*w**3 + 19*w**3 in the form a + z*w + x*w**2 + k*w**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 4641.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3223?\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 9*u**2 + 6*u + 2. Let l be t(9). Suppose 10*r + 54 = -l. Sort 2, 4, r.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -3)**2 - ((sqrt(7) - sqrt(7)*-1)*2 - sqrt(7)).\nAnswer: -33*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 20123233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18634 from 20215.\nAnswer: 38849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-1 - (-5)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1070, 4177, 9358, 16607, 25918, 37285, 50702, 66163?\n\"Answer: -p**3 + 1043*p**2 - 15*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.08 - -1.38. What is the biggest value in 3\/2, -1, i, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541671416 divided by -572?\nAnswer: -946978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 - 9*y - 7. Let k be a(-8). Suppose 3*b = -k + 7. Suppose 0*j + b*j = 44. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1108993.24519028264 + 251.81080601736. Let a = 1109245 - o. Let z = -0.056 - a. What is z rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -27*t + 1. What is the units digit of h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311609 is divided by 103821.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2459*w - 846*w - 814*w - 801*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (-102 + 84 - (-11 - -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/36)\/(2\/(-48)*-4). What is the nearest to n in -2\/5, 0.2, 0, 1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255068 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5)*-1 + 1771\/(-15). Let j = k - -118. What is the closest to -2\/9 in -0.1, 1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11036 - 5452. Is 104 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 107. Solve -s - g = 2 - x, 3*g = 3*s + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214058 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*v**5 + 682*v**3 - v**2 + 1239*v - 1 wrt v?\nAnswer: -480*v**2 + 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 3*y**4\/20 - 2*y**3\/5 + 3*y**2\/10 - 231. Solve r(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 8:46 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)*f*f)**14*((f*f**0)\/f)**29 assuming f is positive.\nAnswer: f**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 84*i. Let l be y(10). Suppose 2*j - 337 = t, l = 5*j - 4*t + t. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-8)*(-1 + -1). What is the third derivative of 12*o**5 + 3*o**2 - 11*o**5 - 3*o**3 + s*o**3 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 + 201 = 5*g. Suppose -721 = -3*z + g. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 24\/5*i**5 - 25 + 0*i**4 + 1\/3*i**6 + 2\/3*i**3 + i + 0*i**2. What is the third derivative of o(d) wrt d?\nAnswer: 120*d**2 + 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + d**2 - 1. Let w(x) = -5*x**3 - 4*x**2 + 91829 - 91826 - 2*x + 0*x**3. What is 3*u(h) + w(h)?\nAnswer: -2*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.32 + 0.16. Let w = 0.7 + p. Let d = w - -0.4567. Round d to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4 = 0, 12*y = -b + 4*y - 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6904?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3*t**2 + t + 3. Let d(x) = -x**3 + 2*x**2 - x - 2. Calculate -3*d(p) - 2*h(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 44*i - 444. What is g(-27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 233.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 768*u + 2187*u + 2896*u + 63579 - 157195 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7788025 or 7788028?\nAnswer: 7788025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 416*d + 77. Determine c(-83).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 25. Suppose -44 = -4*c - a*p, 2 = -c + 2*p - 0. Let r be 1*(-3 - -5)*3\/c. Is -2\/169 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x**2 + 630*x - 66. What is i(-41)?\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65049 by 3.\nAnswer: -21683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3) - -1)*(-21)\/(-1). Suppose -4*d = -2*d + v. Let k be (-3087)\/d*(2 - (-52)\/(-6)). What is k rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-352)\/336 - (2\/6)\/(14\/3194).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168 + 30. Let u(w) = 2*w**2 + 35*w - 674. What is the remainder when b is divided by u(12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -g - 43924, -5*i - 2*g + 17636 = -37269. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550679 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a week?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 4338.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -353.5591563917 - -0.179\nAnswer: -353.3801563917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54620, -109236, -163848, -218456, -273060?\n\"Answer: 2*k**2 - 54622*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195 by -39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6708)\/(-15) + (-63)\/15 + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -91. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*c - 87. Solve 3*v - 19 = n - 6, 15 = c*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2536901.1995 - 2537528. Let g = 568.81 + j. Let p = g + 58. What is p rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 302*h + 9053. Give k(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + n**5)*(1 + 0 + 0) + n**5 - 1 + 1 + 0 + 0 + 3*n**5 + 6*n**3 - 4*n + 2*n**5 + 4*n.\nAnswer: 7*n**5 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 t when three letters picked without replacement from {t: 11, b: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(627))\/sqrt(11) - (sqrt(6897) - sqrt(6897)*-3))\/(2*sqrt(9)\/(sqrt(6)\/(sqrt(2) - (sqrt(2) + sqrt(2)*1)))).\nAnswer: 45*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(144)*2).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 7. Suppose 2*y + 12 = -16. Let z(o) = 1. What is y*z(a) + 2*r(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/(-286))\/((-15)\/(-8)))\/((-4)\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 39054*z**2 - 208367520*z + 237653762400.\nAnswer: 3*(z - 2140)**2*(z + 17298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110111010001111 (base 2) to base 15\nAnswer: -85bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 44230 = 12*h + 3*r, -26542 = -3*h - r. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38888.\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1006889 + 139.3.\nAnswer: 1007028.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36.41 - -0.4\nAnswer: -36.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 53, 71, 109, 173, 269, 403, 581?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 4)*(m**3 - m**5 - m**3).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 5*x + x**2 + 1\/6*x**3 + 0 - 1\/12*x**4. Determine y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 113288.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*k - 25 = 0, 5*p + k = -27 - 26. Let d = 14 + p. Solve 0 = -4*a - d + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n**3 - 4*n**2 + 3*n - 4. Suppose -i + 4 = -3*s, 6*i = i + s + 6. Let u(m) = m**3 - m**2 + m - 1. Let o(d) = i*c(d) - 4*u(d). Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*b - 3*b + 212723, -b = -4*c + 212729. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2. Let x(h) = -26*h**2 + 11. Let y(c) = 3 - 2*c**2 + 1 - 7*c**2. Let s(z) = -4*x(z) + 11*y(z). What is s(u(o))?\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27960 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-30)*(-7)\/(70\/(-30))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c + 2. Let f(s) = -1. Let o(p) = -15*p. Let d(l) = 5*f(l) + o(l). What is -4*d(h) - 10*y(h)?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5112808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130626 and 130626.\nAnswer: 130626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -243456, -243455, -243454?\n\"Answer: o - 243457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/4 - 12\/(-16). Let v(y) = 1 + 3 - y + h. What is the units digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + -34 + 121 + -64.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1731 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4764 at most -4764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(567) + 1*sqrt(567)))**2 + -2*(sqrt(6300) - -2*sqrt(6300) - sqrt(6300))**2.\nAnswer: 289800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 395\/(-9) - ((-302260)\/(-1143))\/238\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/2 - 11269*n**4\/2 + 67566*n**3 - 270200*n**2 + 360224*n = 0. What is n?\nAnswer: 0, 4, 11257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(2\/(-4) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:27 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 16, 47, 102, 187, 308?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069548 is divided by 472?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.013.\nAnswer: 0.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*(-11)\/(33\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 + 13*u + 78. Let f be a(-6). Are -238 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 1. Let o(g) = g**3 + 9*g**2 + 4*g - 32. Let f be o(-8). Suppose 5*c + f*q + 13 = 3*q, 2*c - q = -5. What is b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -38*f**2 - 793*f + 94. Give p(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 o when four letters picked without replacement from {t: 5, o: 4, n: 8}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11f894d9 + -3?\nAnswer: 11f894d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/92 - 1*(-684)\/48?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 - 44*m + 11. Let l(a) = -3*a**2 - 16*a + 4. Let i(g) = -4*f(g) + 11*l(g). Let r(q) = -24*q**2. Determine i(r(d)).\nAnswer: -576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p. Let f(k) = k**3 + 11*k + 7. Let o(l) = l**2 + 1. Let n(y) = -f(y) - 6*o(y). Let b be n(-4). What is the second biggest value in p, b, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 = 2, 4*p + 14 = -2*r. Let x be -2 - (-24)\/(p - -7). Suppose -x*b + 8 + 14 = 2*w, 2*b - 5 = w. What is the lowest common multiple of 2 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 1\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(14))\/(5*sqrt(2)*1 - sqrt(2)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3531 - 918 = -1029*t - 474 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:16 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 3. Calculate w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 4*i - 4*i**4 + 17*i**4 + 2*i**4 + 0*i**2 + 0*i**2 + (-3*i + 0*i + 5*i)*(i**3 - i + i) + (-i**4 + 0 + 0)*(6 - 4 - 6).\nAnswer: 21*i**4 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4861796 is divided by 1516.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1. Let h = -4 - -3. Let z(l) be the first derivative of 0*l**2 - 5*l + 3 - 2\/3*l**3. Give h*z(p) + 5*r(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36269*j**3 + 18728*j**3 + 10039*j**3.\nAnswer: 65036*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334848 divided by 20928.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 66064 * -3\nAnswer: -198192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 6*o**2 + 5*o - 7. Suppose 0 = -3*l + 9. Suppose l*f + 20 = -f. Determine i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*h**3 + h**2 + 4*h**4 - 12*h**3 - 39*h**3 - 3*h - 3*h**4 + 28*h**3 to the form q*h**2 + m + l*h + y*h**3 + o*h**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 596845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6509006 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let s(q) = -150541*q. Calculate s(y(i)).\nAnswer: 150541*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 97050\/(-7764)*(-348)\/(-50)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 335635045*d - 322750841.\nAnswer: 335635045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3*6\/(-4). Let i(o) = 5 - 5*o**2 + 0 - 7*o + x*o**2. Let h(k) = -2 + 5*k - 2*k**2 + 5*k**2 - 2*k**2 - 2*k. Calculate 7*h(n) + 3*i(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 74, 1, 17, 2, -170, 4 in decreasing order.\nAnswer: 74, 17, 4, 2, 1, -6, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8012923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k + 1. Let d(h) = -2*h**3 - h**2 + 2*h + 5. Determine 4*b(a) - d(a).\nAnswer: 2*a**3 - 3*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -79451.136 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 27 = 3*h - 6*t, 2*h = 2*t + 14. Solve 0 = h*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 + 19*a + 13. Let w be j(10). What is the third derivative of 0*g**3 + 26*g**2 - g**2 - g**3 + 3*g**w wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 2 + 0*c - 1043*c**2 + 1057*c**2)*(-4*c + 2 + c - 4) in the form a*c**2 + m + x*c**3 + q*c and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhf when four letters picked without replacement from hffffffffffffffhfffh.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1088) + 1 + sqrt(1088)) + sqrt(1088) - sqrt(1088)) + 5 - ((sqrt(612) + 1)*3 + 5).\nAnswer: -1 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d - 27690 = -289*d - 115*d for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkyzekz. Give prob of picking 1 k and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 10*s**2 - 22*s - 34\/3.\nAnswer: 2*(s - 17)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 16391310258 + 16391310258.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 975 = -4*a + 6*j, -3*a - 10*j = -685. Calculate the remainder when 1470 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4024.1 - 4020.1. Let i be (-5)\/(-7) - (-2)\/(-2). Which is the biggest value? (a) w (b) i (c) 7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 + 65*q**2 - 4*q + 50. Calculate g(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1 - 8 + 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {c: 1, x: 2, h: 1, b: 1, t: 3, m: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, -36, 5, 21 in descending order.\nAnswer: 21, 5, 3, -1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164920 divided by -38.\nAnswer: -4340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 241240 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195\/11 - 142556\/8041. Let x = -1555\/67983 - c. Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182400 = 8310*p - 2610*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -409\/2, 0.7, -4, -5\/2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 1.3. Let h = 1063.8 + -1064. Let t = 0.2 + 0.3. What is the third smallest value in i, h, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*((sqrt(3456) + 2*sqrt(3456))\/(-3*sqrt(8)*-1) + -2))**2.\nAnswer: -48*sqrt(3) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*f - 2537*f + 752*f + (0*f - f - f)*(-1 + 3 - 4) as h*f + a and give h.\nAnswer: -1971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42409 divided by -107?\nAnswer: -42409\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2 - 2*o. Let w(m) = -14*m**2 - 4*m. Suppose -4*y - u = -23, -2*y + 27 = -3*u + 12. What is y*w(i) - 13*t(i)?\nAnswer: 7*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 196, 195, 194, 193, 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-11))\/(24\/33*(-9)\/18). Put 2\/7, 4\/15, z, -0.2, -5 in decreasing order.\nAnswer: z, 2\/7, 4\/15, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 + 1921 = 216*r + 101 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -54. Solve 6 = -v + b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:18 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxw when three letters picked without replacement from xcwklxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 2. Suppose 48*k = 47*k - 2. Let l(q) = -5*q - 1. Let z(w) = k*l(w) - 6*t(w). Calculate z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453024.4ns to milliseconds.\nAnswer: 0.4530244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*x - 45, -3*b - 58*x + 77*x = 105 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 714482 + 8*x + 55034 + 101880.\nAnswer: -x - 557568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:46 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.37 (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -314 + 314 + 135*u + 159*u + 354*u + (0 + 1 - 3)*(1 + 4*u - 1) + 3*u - 6*u + 2*u.\nAnswer: 639*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -596 - 64. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 66 = 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Solve 5*b - 26 = -f, -2*f = 2*f - d*b + 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*h + 35*h - 4*h)*(2*h**2 + 2*h**2 + 2*h**3 - 3*h**2)*(2*h - 2 + 2).\nAnswer: -352*h**5 - 176*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4019, 8119, 12217, 16313?\n\"Answer: -g**2 + 4103*g - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3361.06 + 3361. Which is the second smallest value? (a) 0 (b) -4 (c) -1.4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-176)\/(-748))\/(((-10)\/85)\/(-2)). Let o = 24 - -13. Solve -p*w = -o + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 114. Let f = -57 - r. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12)*j*j\/j**8*j assuming j is positive.\nAnswer: j**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2069 - 2069 - 16*m**3 + 15*m**3. Suppose 10 = 3*c - 2. Let x(d) = 2*d**3 + 2*d - 1. Give c*j(n) + x(n).\nAnswer: -2*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -155. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - 7) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.7 + 28.1. What is v rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**1*y))**49)**9*(y**(-2))**2*(y**(2\/7))**(-41) assuming y is positive.\nAnswer: y**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = 4*y, -21 = 29*y - 32*y + b. Solve y*g = 8*g + 3*m, -4*g + 3*m = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z = 68*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -17. Let j be 2\/(-10) - a\/45. Let v be 0\/(-2)*(-2)\/4. Solve j = 2*u - 2*z - v*z - 6, 4*z = 5*u - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 57. Let v = 39 - b. Suppose -2*w - 14 + 8 = v. Put -3\/7, w, 2\/9 in descending order.\nAnswer: 2\/9, -3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29757 is divided by 172.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3.74 times 10816\nAnswer: 40451.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = -45. Let n(x) = -x**2 - 3*x + 4. Let b(y) = 2*y**2 + 6*y - 9. Let w(q) = t*n(q) - 4*b(q). Let w(l) = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129476400172 take away 1879?\nAnswer: -129476402051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 6*y**2 - 6*y + 4. Suppose -4*r + 3*r = -5. Let h be g(r). Does 20 divide h*2*(-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*y + 3)*(1 + 0 - 3) + 0*y + 3*y - y - 16 + 18 + 6*y + 0*y - y + y - 4*y - y + 0*y - y + (2 - 1 - 2)*(1 - 1 - y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.3. Let f = y - -0.6. Let p = -0.9999998 + f. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218 - 218 + 2*o**3 - 7*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let a = 5 + -1. Suppose -v + a + d = 0. What is the greatest common divisor of v and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 3*z**2 + 4*z + 1. Let t(g) = 9*g**3 - 7*g**2 - 11*g - 2. Let q(w) = 2*t(w) + 5*v(w). Let o be (0 - -1) + 0\/(-3). What is q(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r - 10. Let f = r + 2. Suppose f = -4*k + 160 + 16. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8*o = 0. Solve o*p - 3 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24328998 divided by 237.\nAnswer: -102654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 315. Let t be (-2)\/(-8) - 40118\/o. Let i = 1748\/7 + t. Calculate the common denominator of -5\/14 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - 4*j**2 + j**2)*(3 + 8 + 20) as r + g*j**2 + i*j and give g.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 16 + 9. Let u = -19 + 28. Let s(j) = j**3 - 10*j**2 + 9*j. Let n be s(u). Solve 6 = 3*b - b + 4*d, n = -o*b + 3*d + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6 + 28.7.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*c**3*m**2*v + 2*c**3*m**2 + 2*c**3*m - 2*c**3*v - 7*c**3 + c**2*v + 4*c*m**2*v - v wrt m?\nAnswer: 112*c**3*v + 4*c**3 + 8*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3747*y + 4598 - 68297 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 13*u**2 - 2*u + 28. Let r be w(13). Let m be (-6 - 2)*9\/(-18). Suppose -6*k - m - 14 = 0. What is the nearest to 5 in k, 1\/8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/15 + 2*s**3\/3 + 7*s**2. What is the derivative of j(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i + 12. Suppose -5*l = -2*t - 12, 2*l + 10 = 5*t - 2. Suppose 2*k - l - i = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 15*b = -910. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) 3 (d) 18\/17 (e) -1\/2882\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from zoozqqqqqqn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 648 and 1644.\nAnswer: 88776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 0*w + 4*w)*(-2 + 4 + 0 + (0 - 2 + 3)*(0 + 3 - 4)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 201*t**2*u - 6673*t**2 + 6*t*u**2 wrt u?\nAnswer: 201*t**2 + 12*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601264?\nAnswer: 2, 37579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30252397 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -186?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/35 + (-112)\/5. What are the prime factors of (-1)\/(-3) - q\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -4*z + 3276. Suppose 0 = -8*y + 4*y - z. What is the smallest common multiple of 0 + y\/(-11) + 20\/(-110) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s - 1. Let p(h) = 5*h**2 + 14*h + 12. Let z(t) = p(t) + 6*y(t). Let n = -146 - -166. Suppose -4*l + 44 = 3*q, -3*l + 0*l + q = -n. Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 3\/2 (b) 67\/84 (c) -2\/7 (d) 1\/7 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75964350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a + 36. Let y be k(4). Suppose -y*o + 6 + 18 = 0. Let m(g) = -g**3 + g**2 + 3*g + 1. Calculate m(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 178155 - z + 608*z**2 - 178155.\nAnswer: 608*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -5*d - n + 21, -13 = -2*d - 5*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 8*d + 10. Suppose 2*n = -z + 2, -2*z - 4*n = -3*n - 13. List the prime factors of r(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11894.7 + 11895. Let i = -2.9 - -3. Which is the nearest to 3\/4? (a) -0.1 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)\/(h*h**(-9)*h*h))\/((h\/h**(-13))\/h**20))**27 assuming h is positive.\nAnswer: h**(1377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02396044 rounded to 4 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*i = 60, p + 49 = -2*i + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5 + 4877586*z**4 - 1982609452530*z**3 + 31720722077316*z**2 - 89213123369259*z - 321170088709494 = 0. What is z?\nAnswer: -2, 9, 812923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-50)\/(-4))*((-12)\/(-9) + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 86 = 2 - 111 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ettsetet?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2. Let l = 4 + -2. Let v(p) = 0*p**2 - p**2 + l*p**2. What is i(v(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 greater than -1719\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -332?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.1 (c) -5 (d) -2\/823 (e) -0.1 (f) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1, -0.055?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16976103919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - -14.8. Let m = 47 - p. Let j = -29.99999959 + m. What is j rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291576 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 (base 15) in base 4?\nAnswer: 11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14659.065 milliseconds?\nAnswer: 0.24431775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 63415 = -14494. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m - 2*m + 7*m - 29*m)*(2*m**2 - 7*m**2 - 2*m**2) as p*m**3 + o*m + q*m**2 + u and give p.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = -57*y + 5824. Solve 40*h - y*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-37))**(-42\/11) assuming j is positive.\nAnswer: j**(-1596\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:05 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 2*m, 27*m - 29*m - 4 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3696)\/252)\/(16\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4, 0*p - 2*p = -2*m - 8. Let j(k) = -2*k - 4*k + p*k + 5*k. Let c(x) be the third derivative of x**5\/60 + x**2. Give c(j(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 10*u + 6. Let m be q(-11). Sort -3, m, -24.\nAnswer: -24, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2*(-3 - -52). Find the common denominator of (1\/6)\/(2\/c) and 23\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37592 and 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50425051 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*19037968.\nAnswer: 380759360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 350001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-98)\/(-28)) + 8990\/406.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -5.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/40 (b) 2\/11 (c) -0.3 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/525 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -3.69696506579\nAnswer: -3.59696506579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 7120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/2, 104, -635\/134?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20327494*z**3 + 12936592 wrt z.\nAnswer: -60982482*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/15 + 660\/100. Let g(v) = -2*v + 2 - 2 + 6. Give g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-9)\/(-3*1). Suppose 19 + 35 = 9*t. Let q be 1 - (1 + -1) - t\/(-2). Solve 0 = -4*h - f*i, -1 = -q*h - i - 2*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 126 = -5*x, -j = -x + 3*j + 12. Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -3. Let x be 3 + -1 + 0 + -5. Let c = 4 - x. Calculate the remainder when l is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23436646*i**2 - 6*i + 68417 wrt i?\nAnswer: 46873292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33045 is divided by 1389.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t**(12\/5))\/((t**(1\/4)\/t)\/t*t\/t**(2\/9)))**(4\/5) assuming t is positive.\nAnswer: t**(463\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76*b**4*l**2 - 3*b**3*l**3 - 10*l**3 wrt b.\nAnswer: -304*b**3*l**2 - 9*b**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**3 - 18*p - 18. Let y(s) = -s**3 + s + 1. Give -b(v) - 18*y(v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.6 - -21. Which is the third smallest value? (a) x (b) -13 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6923224 divided by 2?\nAnswer: 3461612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 8*z + 7. What is f(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/(-112) - (-117)\/(-21). What is the units digit of (-13)\/(-351)*f + (-8482)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t**5 + 333*t**4 - 3921*t**3 - 22464*t**2 + 43932*t + 27072 = 0 for t.\nAnswer: -16, -6, -1\/2, 2, 47\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49268 is divided by 8139.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3185*m**2 - 113*m + 415. Is l(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1, -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 11*w + 7*w + 68 = 0, 2*t - 14 = 5*w. Suppose -t*k + 40 = -7*k. Suppose 5*m - 1 - 54 = 0. What is the smallest common multiple of k and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -3 (c) -1\/5 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 2. Suppose 0 = -5*u - i*r + 4*r + 35, -4*u + r = -13. Suppose 0 = u*k + 8 + 8. Put k, -1, -7 in descending order.\nAnswer: -1, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 4572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -293*r**2 + 294*r**3 + 293*r**2 + (0*r**2 - 4*r**3 + 0*r**2)*(4 - 6 + 3)*((2 + 0 - 4)*(-2 + 4 - 1) + 3 - 4 + 0 + 2 - 2 + 1).\nAnswer: 302*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and 0.16.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-14) + (-13)\/((-91)\/269). Calculate the greatest common factor of r and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/13 (b) -5\/6 (c) -10\/7 (d) 5 (e) 8851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 28*u**2 + u + 26. Suppose -2*j + 84 = -8*j. Let s be y(j). Round s to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4165 and 5011685.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:33 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 16. Let z be q(5). Calculate the remainder when 19 is divided by (-6)\/18*(-39)\/z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 154, 232?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7569 a factor of 5432604336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 19 - 1) + 3 + (-4 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 304, 14 in descending order.\nAnswer: 304, 14, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3 - 3) + -2 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/11 in 1.08, 17, 6?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2895*f - f**2 + 2885*f - 5780*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2502*c**2 - 22*c + 63. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2635 divided by 6.\nAnswer: -2635\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -4*k**3\/3 - 40*k. Let y(d) = -6*d. Give o(y(m)).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 94753902 to the power of 1\/2, to the nearest integer?\nAnswer: 9734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2*o**(3\/8))\/((o*o\/(o\/(o*o\/(o**(-2\/19)\/o)))*o)\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(-339\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0 + 0*h**3 - 1\/24*h**4 + 11*h**2 + 0*h. Let i(c) = 7*c**2. What is i(z(n))?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(237\/2844)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*u + 69*u**2 + 3*u**3 - 69*u**2 + 42*u wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 38*n + 147. What is u(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 5*y + 3. Let b be w(-4). Let h = b - 50. Solve -h*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 10. Let s be z(5). What is the second smallest value in 1\/4, -1\/5, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + 0 - (-10)\/10. Suppose 4*h + 0*h - 3*o - 24 = c, 6 = h - 3*o. What is the smallest common multiple of 6 and (0 + (0 - 1))\/(h\/(-108))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 8040 + 132834 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(13)*1 - sqrt(13)))**2 + sqrt(13) + -4*(1*sqrt(13) + sqrt(13))**2.\nAnswer: -192 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/228 - (-2)\/19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 47 = -151. Let c be 4\/(-12) - h\/6 - -312996. What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 7. Let j(z) = -28*z + 63. Let w(c) = -34*c + 77. Let r(h) = 6*j(h) - 5*w(h). What is -6*r(p) + 5*v(p)?\nAnswer: 3*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 72, 69, 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 5*q**3 - 6*q**3 + (13 - 13 - 6*q**3)*(-1 + 5 - 9) + 4*q - 7*q**3 - 6*q + 0*q**3 to t*q**2 + a + w*q + s*q**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*s - 123 - 85 - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 2 - (-17 - -21 - 0) - 33.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1278b (base 13) to base 8.\nAnswer: -102715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 2*k**2 + 35*k - 9. Let i(a) = -a**3 + 3. Determine -3*i(d) - j(d).\nAnswer: 2*d**3 - 2*d**2 - 35*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m*m\/m**(-4\/7))\/m))\/(m*m**(2\/29)\/m))\/((m**(-17)*m*m)\/m*m*m**(-7\/4)))**36 assuming m is positive.\nAnswer: m**(110421\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 16*o**2 - 2*o - 33. Let h be t(-16). What is the fourth smallest value in 0.2, 3, -2, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5835 is divided by 2850.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Find the third derivative of -m*f**5 - f**2 + 8*f**5 + 2*f**2 wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35704 - -59469. What is the highest common divisor of y and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 28*p**2 - 95*p + 26. Give t(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100 - -1000000?\nAnswer: 11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22591159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -5*g - 25, -3*g = -4*z + 15. Suppose -4*x = -24 - z. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = -0*y. Suppose y*x = 3*x + 1. What is the closest to -1\/3 in -1\/5, x, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65+-10.775281\nAnswer: -75.775281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 - 49*g**2 - 41*g + 322. What is r(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -56*a + 22. Let c(z) = 109*z - 46. Give 4*c(y) + 9*t(y).\nAnswer: -68*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 383132196 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 19 (c) -32 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2226012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(847) - sqrt(847)) + sqrt(847))**2 - (sqrt(56)\/(sqrt(128) - sqrt(8)) - (-3 + sqrt(14)\/sqrt(2))).\nAnswer: 2*sqrt(7)\/3 + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1073.684?\nAnswer: -1073.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 7*s + 7. Suppose 2*j + 14 = -0*j. Let n be g(j). Let l be (3\/n)\/((-3)\/6). Put -3, l, 4 in descending order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*z = -180*z - 36 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let f = -2 - 0. Let u be v(f). What is the units digit of 3\/(-2) - 42\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425) - (sqrt(187)\/sqrt(11)*1)**2) + (-4*(sqrt(68) + 3*sqrt(68)) - sqrt(68))\/(-6*sqrt(4)*2).\nAnswer: -17 + 77*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4605.426 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -254, -1.6, 1\/4, -44, -5.\nAnswer: -254, -44, -5, -4, -1.6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375.6 minus -0.4?\nAnswer: -1375.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542824908 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11 = -9. Suppose -7 = 4*x + 3*x. Is 2\/(x*r\/(-22)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106.9919 + -0.0081. Let r = k + 110. Which is the closest to -1\/8? (a) r (b) -2 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 708 - -827. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3\/(-24))\/(357\/(-238))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -5, 4, -2.8, -0.5.\nAnswer: -5, -2.8, -0.5, -2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.1175 + -0.0375. Let w = -30 + q. Let s = -2 - -2.2. What is the second smallest value in -0.1, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1957172 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 - (-5643)\/(-495)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/(sqrt(6)*-1))**2 + (sqrt(76)\/sqrt(4)*-1)**2)*-4.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-4) - (-2)\/4. Let m = -4.5 - -3.3. Which is the third biggest value? (a) m (b) s (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*c + 140*c + 301*c + c**2.\nAnswer: c**2 + 533*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 7*s = 11*s + 5*s + 368 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(2\/11)*u)\/u)**(-2\/35))**(1\/7)*(u*u**(-1))**0*(u\/u**(1\/9))\/((u*u\/u**(2\/11))\/u) assuming u is positive.\nAnswer: u**(1283\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + f**3 - 7 - 2*f**2 - 7*f**2 + 7*f**2 - f. Suppose l - 3 = -4*b + 7, 0 = -3*l - 3*b - 6. Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 1940.\nAnswer: 15520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/3 - 4171*d**3\/3 + 8302*d**2\/3 + 50052*d - 100056 = 0. Calculate d.\nAnswer: -6, 2, 6, 4169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -1\/4*r**4 - 1\/3*r**3 + 3*r**2 + 3*r - 2. Calculate the remainder when y(-4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 4*v**2 - v**2)*(3*v - 4*v - 2*v + (v + v - 4*v)*(-3 + 5 + 0) - 84 + 37*v + 84)*(-1 + 1 - v)*(0 - 3 + 1).\nAnswer: 120*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*g + 61*g + 36*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 4*u - 41. Let n be h(9). Suppose -3*l = -n*f - 988, 0*f = 5*f + 5. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 9*m - 5*m. Calculate the remainder when m is divided by 0 + (-12 - 3 - -31).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 2*v = 31*m + 4, 10 = 5*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 + 15*m - 25*m**3 - 21*m**3 + 7 + 47*m**3. Suppose 65 - 17 = 4*n + 4*t, -2*t - 11 = -3*n. What is the tens digit of h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x)**(-23)\/(x**(-1\/2)*x**9*x*x))**(29\/2) assuming x is positive.\nAnswer: x**(783\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, -7, -52, -137, -274, -475, -752?\n\"Answer: -2*w**3 - 2*w**2 + 3*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 9*c - 16. Let u = 665 - 660. Let r be o(u). Solve -5*x + 4*s - 4 = -0, r*x + 5*s - 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 512 + 48*c**3 - 295 + 2*c**2 - 46*c**3.\nAnswer: 2*c**3 - 807","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-2\/21)\/((j\/j**(-11))\/(j*j**(1\/3)\/j*j)) assuming j is positive.\nAnswer: j**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 529 + -1235. Let v = -649.4 - g. Let u = v - 57. Put -1, u, 0, 16\/3 in descending order.\nAnswer: 16\/3, 0, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65734*q**4 - 1079*q**3 + 638541*q**2 + 175 wrt q.\nAnswer: 1577616*q - 6474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -80. Let o = t - -18. Let k = 30.99999881 + o. What is k rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15300 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**2 - 2167857*s + 2167854 = 0?\nAnswer: 1, 722618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.11 + -0.11. What is the nearest to n in 2, -3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 2*l. Let n = l - -2. Solve -3*r + 5*g + 3 = 4*g, 5*g - n = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 2*h + 0*h + (0 + 0 + 1)*(5*h + 2*h - 2*h))*(2*h**4 - 4 + 4).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = 4*q, 0*q - 2*q - 6 = 0. Let w be (1 - 4)\/(-1) - (-1 + 2). Is s less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -683576 (base 9) to base 8\nAnswer: -1437543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312355611?\nAnswer: 3, 19, 127, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -9. Suppose 0 = 2*b + z, i - 4*b - 19 = 5. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -366 - -694. Suppose -4*c + 1508 = -3*u, 2*c - 3*u - 1082 = -t. List the prime factors of c.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/(q*q**0)*(q**(-2\/3))**(-5) assuming q is positive.\nAnswer: q**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - (-2 + 5) - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/66 and 59\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g - 12 = 0. What is the first derivative of -m**3 - 1 - 2*m**g + 4*m**3 wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65706087721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -0.09511757?\nAnswer: -0.09511757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:39 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 400.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60789, -60819, -60861, -60909, -60957, -60999?\n\"Answer: z**3 - 12*z**2 - z - 60777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30124200 + -4?\nAnswer: 30124152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 - d**4 + 3*d**4 + (0*d**3 + 2*d**3 - 6*d**3)*(0 - d + 0) + 48*d**4 - 41*d**4 - 257*d**4.\nAnswer: -247*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ec85 + 13?\nAnswer: 2ec98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/713128 and 41\/82284?\nAnswer: 2139384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjdwm. What is prob of sequence jd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/((-2912)\/52)*2\/(-148).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53, -77, -99, -119?\n\"Answer: u**2 - 27*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0*o + 136. Suppose -4*x + 74 = -o. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -638, -638, -636, -632, -626?\n\"Answer: l**2 - 3*l - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from djdjqjjqjqjjqjdj.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 10134*i**7\/7 + 3826*i**3\/3 + 10467. What is the third derivative of v(c) wrt c?\nAnswer: 1216080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -4*r - 12*d - 9, -3*d = 5*r + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 326 divided by -163\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - -3 - 20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*g**2 + 3145*g**5 + 10*g**6 - 3145*g**5 wrt g?\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153) + sqrt(153))*-2 + sqrt(153))**2 - (sqrt(153) - (-1 + sqrt(153) + 1))**2 - ((sqrt(17) + -2*sqrt(17) + sqrt(17) + -5)*-5)**2*4.\nAnswer: -2347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833))**2*4.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - j - 1. Let n(h) = -4*h**2 - 6*h - 6. Suppose -69*z = -58*z - 66. Suppose -4*i + x - 5 = -i, 5*x = -2*i + 8. What is i*n(f) + z*v(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3253390873 from -4.\nAnswer: 3253390869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + (-183)\/(-12). Let h = m - 45. Let p = 85 + h. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 61*d\/4 + 63\/2.\nAnswer: -(d - 63)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6\/g**(-17) assuming g is positive.\nAnswer: g**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**7\/315 + 11*m**6\/225 + 7*m**5\/25 + 3*m**4\/5 - 3*m**3\/5 - 27*m**2\/5 - 21*m. Solve p(a) = 0 for a.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 195*w. Let j(c) = 13*c. Let v(a) = -453*a - 2627. Let r be v(-6). Calculate r*j(p) - 6*s(p).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 14452041?\nAnswer: 1\/4817347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 4*o + 21*o**2 - 8*o - 12*o.\nAnswer: 21*o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909505.\nAnswer: 5, 13, 29, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*p = 2*i - 36, 5*p = 20. Suppose -i*t + 8*t - 2*v = 8, -2*v = -4*t + 22. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(28) + -2.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 230022023?\nAnswer: -230021231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801036 is divided by 2584.\nAnswer: 2572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 26*n - 5*n - 5*n**3 + 1 + 24*n**3 - 7*n as m*n**2 + r*n + f*n**3 + z and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*k + 431, -2*a = -2*k - 0*a + 198. Let o = k + -102. Solve 2 + o = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101010010010?\nAnswer: 101010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114443 + 4?\nAnswer: 120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 - 105 + 202 - 121*f to the form h*f + t and give h.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - -12. Let u = 8 - q. Let v = -2.5 - u. What is v rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 10 = -2*c, d - 3*c = -4*d + 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15*j + 11. Let b be (-5)\/30 + 70\/(-12). Let k(p) = 7*p - 5. Let x(c) = b*q(c) - 13*k(c). Determine x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6 - 2*w + 19 + 217*w**2 - 207*w**2 + 13*w + 14. Let m be t(-2). What is the highest common factor of m and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1536 (base 7) to base 13\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -3*u**8\/112 + u**7\/70 + u**6\/20 - 5*u**2\/2 + 2. Let q(k) be the second derivative of w(k). Factor q(h).\nAnswer: -3*h**3*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -9 + 7. Let h(r) = 7*r. What is h(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence matl when four letters picked without replacement from talma.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*100.2\nAnswer: 140.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/309 and 23\/515.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2\/7, 5, -8, -1 in descending order.\nAnswer: 5, -2\/7, -0.6, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7393085 is divided by 3964.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*x**2 - 1349*x**2 - 813*x**2 + (-3*x + 2*x - x)*(0*x + 0*x + x) in the form o*x + g*x**2 + t and give g.\nAnswer: -2326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8776 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65803 (base 12) in base 10?\nAnswer: 134211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 - 779*t**2 - 376*t + 2451. What is v(87)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13580*a + 3024*a + 2 - 1183*a - 281*a as s + h*a and give h.\nAnswer: 15140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173.86 - 173.1351. What is n rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9158 - -9132 - (0 + (-14 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -16. Suppose -t + 4*t = z. Solve t*m = -2*u + 7, u + 2 + 7 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 132335?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 40142?\nAnswer: 40210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 - 360. Let y = 189 + r. Let p = -2 - 1. Which is the nearest to -2? (a) y (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157183 is divided by 315?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555967\/3 at most 1518657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5671.403ml to litres.\nAnswer: 5.671403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 109. Let l be x(-34). Find the common denominator of (36 + -17)\/(l\/(0 + -3)) and 11\/3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389007 = -195*d - 122832. What is the smallest common multiple of d and 650?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(153)).\nAnswer: -6*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-8 + 1)) + (7 - (3 - -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.82 + 2.82. Which is the nearest to 0.3? (a) -0.3 (b) r (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:00 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/18 and -71\/2920.\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 14*x + 10. Let g be -4 + x - (-10 + 9). Solve g = t + p, -5 - 7 = 5*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 7, -5.\nAnswer: -5, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -126 from 36.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.520787 to 3 dps.\nAnswer: -0.521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 76 = 4*b, b - 3*o + 3 - 28 = 0. What is the highest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14657953 is divided by 13648.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1670 = s - j, -3*s = j - 4990. Suppose -6*i + s + 988 = 0. Does 34 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -3*k**4\/4 - 8*k**3\/3 - 7. What is the third derivative of p(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from rffppnrfrffknnnononf?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -3448, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*i**3 + 0*i + 1\/5*i**4 + 0*i**2 - 1\/5*i**5 + 0.\nAnswer: -i**3*(i - 2)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654015659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:40 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2247845 rounded to two decimal places?\nAnswer: 11.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 30*r**3 + 35*r**2.\nAnswer: -5*r**2*(r - 7)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 - 168*p - 1. Let s be g(28). Is s < -9\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5 + 5 + sqrt(28) - (sqrt(252) + ((sqrt(252) - (sqrt(252)*-1 + sqrt(252)))*-3 - sqrt(252)) - sqrt(252) - sqrt(252))\/sqrt(9))*-1)**2.\nAnswer: 312*sqrt(7) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001.332cm in kilometers?\nAnswer: 0.03001332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (40\/60)\/(1\/(-3)*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:19 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2 + 343*k + 637. Give u(36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 22944885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53126 (base 8) in base 2?\nAnswer: 101011001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3500052906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13 = 3*m, -9*m + 12 = -5*m - 2*l. What is the least common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 117*o - 54. Let m be z(36). Calculate the greatest common factor of 51 and m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 33 - 45 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36232? (a) -4 (b) 0.1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 254 - 36?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(10)*-1)\/(sqrt(5)*1*-4 - sqrt(5)))**2*-4.\nAnswer: -288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 46293*q**2 - 92577*q - 46287.\nAnswer: -3*(q + 1)**2*(q + 15429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 17215*a + 308713. What is k(-18)?\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 12\/(-3))*(-8)\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -817*p**6\/10 + 3*p**4\/4 - 5*p**3 + 240*p + 2. What is the third derivative of m(a) wrt a?\nAnswer: -58824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11355 and 228966005.\nAnswer: 3785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Let h = -586 - -586.0181. Let y = -0.1181 + h. What is the closest to y in -1, -4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -222, -214, -206, -198, -190?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a + 3 + 12*a + 31*a**2 + 5 + 2. Let y be x(4). Suppose 0 = -2*b - y + 1308. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 4 - 11 - 2 - 6.\nAnswer: -7*d - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*c = 4, 5*a + 4*c - 8 = c. Let z be ((-8 + 4)*a)\/(-1). Solve -3 = -3*p + z*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*o**2 - 2*o**4 + 36*o - 38*o - 19545*o**3 + 5 + 19546*o**3 to i*o + c + x*o**4 + a*o**3 + m*o**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 + 9*l + 20*l + 8*l.\nAnswer: 37*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(70)*-1*-3)\/((-4*sqrt(120)*2)\/(sqrt(132)\/sqrt(44))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9006315?\nAnswer: 3, 5, 600421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531070 is divided by 106210.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, r: 3, e: 1, o: 6, n: 2, v: 2}. What is prob of sequence eo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -231*p**2 - 179*p + 10. Let r(h) = -74*h**2 - 60*h + 3. Let z(m) = 2*c(m) - 7*r(m). What is the second derivative of z(n) wrt n?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-346)\/4*11\/((-33)\/6). Let d(p) = 86 + 26*p + 8*p**3 + 87 - y. Let a(u) = 4*u - 2*u + u**3 + u. Determine -52*a(z) + 6*d(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - -3) + 0 - 3) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -2*y. Let o(m) = 4856587*m + 5 - 1 - 4856586*m. Calculate o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 56*r - 811. Calculate f(24).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2851 is divided by 365.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/3, -1474791?\nAnswer: -1474791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-6) + 5)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*y = 574. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13104 (base 8) in base 14?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 12 = 44 + 43 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 26 = 5*p, -58 = 2*s + 3*s - p. Let q(n) = 2*n - 1. Let k(y) be the third derivative of y**2 - 1\/2*y**3 + 5\/24*y**4 + 0*y + 0. Give s*q(v) + 4*k(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 8. Let s be n(4). Let u be 21\/(-28)*s\/(-6). Let y = 4 + -4.1. What is the nearest to y in -3, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (162\/(-3))\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25 + 55 - 2247*b + 30. Let x be z(-20). Round x to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5 + 4*p**4 + 63*p**3 - 14*p**2 - 172*p + 120 = 0. Calculate p.\nAnswer: -6, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 + 20 = -k, 5*a + 31 = 2*k. Differentiate k - 10*d**4 + 6*d**4 + 3 wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 3*v + 1, 3*w - 5*v - 1 = 0. Let s(u) = 6*u**2 + 3*u**2 - 6*u**2 - w*u**2. Let c(f) = 5*f. What is s(c(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/7))**(2\/57) assuming r is positive.\nAnswer: r**(4\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 20, 5*o = 5*x + o + 29. Let s = x - -13. Solve -3*j - s*d = -5, -3*j + 5*d = j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.9 - -13.3. Let b = -266.1 - u. What is b rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 351*m + 179251. Determine c(-400).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*l + 14 = 4, -2*u + 20 = -4*l. Let j be 2*u*5\/2. Let b = j - 3. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000773139674 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30166\/29 - 1040. Let g be ((-2)\/(-6))\/((-464)\/60). Let j = g - t. Is j bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**5 - 1082*d**3*z**2 - 3988*d - z**2 - 2 wrt d.\nAnswer: 120*d**3 - 6492*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjvj when four letters picked without replacement from {v: 1, s: 5, b: 1, j: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + q - 2 = 0, 0 = -5*n - q - 3*q + 8. Suppose 4*t + i + 0 - 26 = 0, n = -4*t + 2*i + 20. Solve -4 = -2*f - 4*s, 0 = 4*f + 2*s - 2 + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8924\/7 (b) 784 (c) -0.5 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**22\/f*f*f))\/((f*f**4)\/f)*(f*f**6)**30 assuming f is positive.\nAnswer: f**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 3*k + 4. Let h be x(-3). Suppose u + 1 = -l + 2*l, l - h*u - 7 = 0. Which is the closest to l? (a) 0.4 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89080977 is divided by 2216.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 10244 + 7436 = 0. What is the remainder when 16899 is divided by v?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520386, -520383, -520380, -520377, -520374, -520371?\nAnswer: -520368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 5*l + 4*t, -l = -2*l + 5*t + 49. Let f = -30 + l. Solve f*i - 3*i = -3*n + 12, -20 = -5*n - i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10493 and 88968?\nAnswer: 99461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -67.\nAnswer: 8\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 257914?\nAnswer: -60\/128957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, -4, 2.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 6*n = 2*n - 2, -r + n = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 + 5*t - 5. Let i be (-1)\/(-2)*2*-1. Let b(y) = y - 1. Determine i*o(h) + 5*b(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-8 - 2 + 3)*(0*m**2 - 5*m**2 + 4*m**2) + 3*m**2 - 6*m**2 + m**2)*(-10*m + 5 + 7 - 11) as b*m**2 + w*m + l*m**3 + u and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5045*s. Let o(i) = -162*i**2 - 25*i + 25. Let c(k) = 13*k**2 + 2*k - 2. Let l(n) = -75*c(n) - 6*o(n). What is h(l(t))?\nAnswer: 15135*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027354*-0.07.\nAnswer: 0.00191478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*k**3 - 28\/3*k**2 - 53\/3*k - 26\/3.\nAnswer: -(k + 1)**2*(k + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233880 + 234384 = -5*r - 23*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*r - 134 + 145 = 0, 0 = -2*m - 4*r - 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197212*c**2*y**2 + c**2*y + 1720*c**2 - 234*c*y**5 - c*y + 99*c - y - 5 wrt y.\nAnswer: -394424*c**2 - 4680*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-3)\/(-12)*-5. Let q be (24\/o)\/((-1)\/25). Suppose n + q = 3*n. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110971154513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:17 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 143 - -406223\nAnswer: 406366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 23*g**2 + 16*g + 73. Let j(i) = 6*i**3 + 117*i**2 - 81*i - 366. Let w(t) = -2*j(t) - 11*m(t). What is w(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046084 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l + 3. Let h be (2\/(-8) + (-112)\/(-64))*-2. Let d(s) = 8*s**2 - 64*s - 28. Let w(m) = h*d(m) - 28*k(m). Factor w(q).\nAnswer: 4*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 61*m**3 + 3*m**2 - 3*m - 64. Let g(f) = -123*f**3 - 7*f**2 + 7*f + 129. Let c(u) = 3*g(u) + 7*n(u). Differentiate c(p) wrt p.\nAnswer: 174*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/8))\/w**(-4\/7))**(-3\/2)\/(((w**(-1)\/w)\/(w*(w*w**(5\/2))\/w*w))\/((w*w**(-2\/13))\/(w**(-4\/9)\/w*w))) assuming w is positive.\nAnswer: w**(63829\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b90 + 4?\nAnswer: 3b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -150.\nAnswer: -149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 4*f. Let n(i) = 5*i**2 + 12*i - 1. Let o(w) = 4*n(w) + 11*u(w). Let l(q) = q**2 - 2*q + 2. Give 5*l(c) + 3*o(c).\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7548299 years in months?\nAnswer: 9.0579588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 14*t - 14. Suppose i + 4*i - 20 = 0. What is the lowest common multiple of i and u(8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 26*d - 2 - 29*d - 31*d.\nAnswer: -87*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*i - 226. Suppose -i*l + 48*l = 9. Let u be (l + -2)\/(-1 - 30\/(-24)). Solve 4*p - s = p - 11, 0 = -3*p + u*s - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + i = -0*i - 144, 0 = t - 4*i - 44. Let l be (-2)\/(0 + 4\/60). Let w = -15 - l. What is the remainder when t is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - 2*x**2)*(2*x**2 + 31 + x - x**2 - 24).\nAnswer: x**4 + x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -185*n**8\/56 - 37*n**5\/10 + n**4\/12 - 1155*n**2. Find the third derivative of y(h) wrt h.\nAnswer: -66600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(288) + (sqrt(288) - (0 + sqrt(288))))**2*-4 - (-4 + -5*(2 + 0 + sqrt(242)))**2.\nAnswer: -3943 - 1540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 0*c + 3*c + (-2*c - c + 2*c)*(4 - 3 - 3) - 190 + 264*c + 190.\nAnswer: 268*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/l**27)\/l)\/((l*l*l*l**(3\/10))\/l)*l**3*l\/(l*l**(2\/7)) assuming l is positive.\nAnswer: l**(-1721\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -117?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 785996846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 138 - 42 = 0. Let j = c + -51. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*m = -9 - 88, 0 = -2*i - m + 203. Let o = i + -98. Suppose 51 = x + o. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -278*y - 18215. Determine k(-66).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 72 = y - 337, 3*x = 4*y - 74 - 85 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312369 to the power of 1\/2, to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*l**2 + 24*l**2 - 52*l**2 as o*l + j*l**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0. Let p(j) = -j**3 + 6*j**2 - 9*j + 5. Let k be p(4). Suppose -5*i = 1 - 26. Which is the nearest to k? (a) z (b) i (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*m + 237720 = 0, -4*g - 283*m + 190168 = -287*m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39556852274 - -39556852105.00000573. Let m = -169 - g. Round m to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5, -3*v + 296 - 87 = 2*h. Let w(g) = 73 - 50*g**3 - 4*g + 25*g**3 - 2*g**2 + 24*g**3. Let u be w(0). Is v at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326198198 - -4.\nAnswer: -326198194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 79.\nAnswer: 79.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -152, -208, -264, -320?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7928328 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987319 is divided by 2640?\nAnswer: 2599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*z - 0 - 7, 0 = -5*l - 2*z + 55. What is the remainder when 23 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 11*d - 13. Let m be l(-9). Suppose 5*h - 75 = -m. Solve -g = 2*v - h, 2*g - 3*v + 0 = -7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**6\/120 + f**5\/60 - f**4\/24 - f**3\/6 + 3*f**2\/2 + 2. Let n(k) be the second derivative of u(k). Solve n(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, n: 6}. Give prob of sequence nq.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 9*o**2 + 7*o - 4. Let v be y(-8). Suppose -40 = -v*g + 4*j, -5*g - 5 = -g + 5*j. Solve -4*p + g = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -239. Let f = 1 + -2. Let s be d\/(-22) - (f + 3). Which is greater: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i*i)\/(i**1*i))\/((i\/(((i*i**(-2\/7))\/i)\/i)*i)\/(i\/(i*i**(-5))))*(i**(-2))**(-3\/5)\/(i**(-1)*i**8*i*i) assuming i is positive.\nAnswer: i**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + c - 2. Let o be r(-2). Suppose 0 = 4*i - 0*i. Find l such that i + o*l + 3\/4*l**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -31 + 227*v - 451*v + 220*v. Let s be a(-9). Solve -s*j - 3 - 17 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7200277163.\nAnswer: 1229, 5858647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 329489220 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203\/9 - -4678\/207. Sort -4, -2, 3\/4, z in decreasing order.\nAnswer: 3\/4, z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20359000 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t + 22. Let y be a(5). Suppose -3*h - y = 80. Which is greater: -53 or h?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or 80?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63554676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*p*w**3 - 4*p*w**2 - 11*p*w + 337*w**4 - 31*w**2 wrt w?\nAnswer: -246*p + 8088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 27660\/1351?\nAnswer: 27660\/1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*d - 68, -5*l - 3*d + 7*d + 44 = 0. What is the highest common divisor of l and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1*2*-5*3 + (5 + (-2*(1 + sqrt(468)) - sqrt(468) - sqrt(468)))*-1)**2.\nAnswer: -1224*sqrt(13) + 541017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((18\/8)\/3). Suppose 3*b + h*j - 23 = 0, -3*b = j - 5 - 12. Let q(l) = l**2 + 9*l + 10. Let g be q(-9). Solve 4*x = b*f - g + 30, -5 = -x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -218\nAnswer: 65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 5814.\nAnswer: -28\/2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17944153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/44238 and -99\/3278722.\nAnswer: 993452766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-2)\/(-1 - 1). Suppose 0*f = -3*f + g. What is the derivative of f + 6*y**3 - 5*y**3 - 3*y**3 wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -8 - 7) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is 240229470 to the power of 1\/2, to the nearest integer?\nAnswer: 15499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1600 = -0*h. Let o be 80\/(((-6)\/(-12))\/1). Let l = o - h. Round l to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -1417, -3181, -5633, -8761, -12553?\nAnswer: -16997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (3*(0 + sqrt(2448)) + sqrt(2448))) + sqrt(2448) + -2*(sqrt(2448)*-1 - sqrt(2448)) + 4.\nAnswer: 4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 324068322 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -806 divided by 26\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9552477.\nAnswer: 3, 11, 289469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -78. Suppose 5*l = 5*r + 255, -4*l = z*r - 9*r - 206. What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146*7.401.\nAnswer: 1080.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i - 9. Let z be q(-10). Suppose -29 + z = -l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - 35\/(-25). Let o be s\/(-2) - (-6)\/4. Is 6 a factor of 43\/3 + o\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((1\/4)\/((-12)\/(-288))))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3*k - 78, -5*p - 6*k = -7*k + 88. Let q be (16\/(-66))\/(-1 - 6\/p). Factor q*h - 2\/11 - 2\/11*h**2.\nAnswer: -2*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979 = 469*r + 9421 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -2369, -0.5, -1\/3.\nAnswer: -2369, -0.5, -1\/3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a. Let p(y) = 15*y**2 - 2*y - 2. Let w(x) = -4*d(x) - p(x). Suppose -16*l = 5*k - 18*l + 6, -4*l = -k + 6. Determine w(k).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -310 + 1710. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44007 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((4\/(-4))\/(-1)). Let c(s) = -3*s + s**2 - o*s**2 + 4*s + 0*s**3 + s**3 + 1. Determine c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + m + 3003 = -2*m, -m = -5*k - 2999. What is k rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*d - 5*q + 9, -4*d + 2 = -2*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -8) + 18 + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -56 + 50 - (2 - 7). Let m = -155 + 1083\/7. Which is the closest to 0? (a) m (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -537 - -34349\/64. What is the common denominator of p and 37\/72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -z - 2*z. Suppose f = 2*p + 14 + z, 3*p + 25 = 2*f. Let q(k) = k**3 + 5*k**2 - 2*k - 6. What is the units digit of q(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13999079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1671*f - 46637 + 4897 = -24518 + 69670 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7470*w + 7978*w + 7112 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**25*c**(1\/17)*c**(-1\/5)*c*c\/c**4 assuming c is positive.\nAnswer: c**(1943\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 + f + 1. Let s be (4\/6)\/((-6)\/9). Let y be b(s). Let z be (-1)\/(3\/3*y). What is the nearest to 0.1 in 5, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11515260 divided by 5?\nAnswer: -2303052","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 6*m**2 - 6*m. Let c(q) = -q**3 - 46742 + 46742 - 5*q**2 - q - 4*q. What is 5*c(s) - 4*z(s)?\nAnswer: 3*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7)*(((-186)\/(-90))\/31)\/((-16)\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u. Let k(t) = t**2 + 3*t + 10. Let j be k(13). Calculate the remainder when j\/10 + (-6)\/(-30) is divided by l(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-169)\/(-338)*3*4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Let q be ((-630)\/50 + 13)\/((-9)\/(810\/(-12))). Solve -3*w + 13 = j + 2*w, m = -q*j + 2*w + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 4a274?\nAnswer: 4a277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -14 + 0\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 4240958.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009676791 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493378 is divided by 493299.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 78. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*5\/(-25)*5. Which is smaller: q or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(16\/65) - -3. Let y = t - 19. Which is the closest to 7? (a) -0.4 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5930437ng in milligrams?\nAnswer: 0.0000005930437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.06 - 0.06. Let m = 2.2 - r. Which is the closest to 2\/5? (a) -0.4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.1 (c) 0.2 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*z + 7. Suppose s = -4*s + 10. Let c be 8\/(-70)*5\/s. What is the nearest to 2\/5 in z, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 64*b**2. Let z(r) = -2475253*r**2. Calculate o(z(q)).\nAnswer: 392120154496576*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 5 (b) -2\/5 (c) -5287 (d) -3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzla when four letters picked without replacement from azlzlallllizztiaie?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 2 - 2 + 7436*u + 286*u**3 - 7436*u + 3 as s*u**3 + o + h*u**2 + c*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 37*v - 2432 = -15*v + 34*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h - 39 + 400 - 113 + 517.\nAnswer: 48*h + 765","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*u - 7, -u = -6*u + 5. Let z be 0\/(v\/(-2 + -1)). What are the prime factors of ((-3 - -6) + z)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = m + 2*s, 4*m + 5*s - 100 = 5*m. List the prime factors of m\/(-8) - 4\/(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 7*m**2 - 1. Let q(d) be the second derivative of -d**4\/4 + 6602*d. Give q(u(r)).\nAnswer: -588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -6755288.\nAnswer: -1\/6755288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 + 10*f**2 + 4066*f - 12188*f + 4061*f + 4062*f - 118*f**2.\nAnswer: -93*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1077874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*l = 347*l - 5*m + 55, 0 = l + 2*m + 32 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41283*t**3*v**3 + 6*t**3*v**2 - 2*t**3 + t**2 - 3588*t - 2*v**2 wrt v?\nAnswer: -247698*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kmkkkkkkkm.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870413991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from {y: 1, b: 2, x: 7, l: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 + -3083.86753\nAnswer: -3085.56753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 19. Let s = l - -12.6. What is the smallest value in s, 2\/21, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i - i**2 + 1 + (i - 1 + 1)*(5*i + i - 4*i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one fifths of a millennium?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(7 - (-2 + 5)))\/(-3). Let t = 902\/543 + 1\/181. What is the nearest to -2\/5 in 3, -3, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/3 + 37*y**2\/2 + 27*y - 2. Calculate b(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1482 or 1.33?\nAnswer: 1482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvdv. Give prob of sequence dvvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/407? (a) 3 (b) -32 (c) 0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 2*b + 2*b + (0*b**2 + 2*b**3 + 0*b**2)*(3*b**2 - 4*b**2 + 2*b**2) - 22*b + 3*b**5 + 22*b + b**5 + 0*b**5 - 2*b**5.\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - 5*h + 1. Let f be j(-4). Suppose -9 - f = -2*t. What is the greatest common factor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.947084ml in litres?\nAnswer: 0.005947084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3\/8 (c) -0.4 (d) 1\/5 (e) 21\/8 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2621, 5246, 7877, 10514, 13157, 15806, 18461?\nAnswer: 21122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 65 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10759, 10760, 10761, 10762?\n\"Answer: h + 10758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z + 2. Let c = z + 70. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-54 + 76 - (5 + -3))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t + t)*(2 - 3*t**2 - 2).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*((sqrt(117) - ((sqrt(117) - (1 + sqrt(117))) + sqrt(117))) + 0) + (-2*sqrt(117) + 2 - (sqrt(117) + -1*(sqrt(117) + 2*sqrt(117))))) + 3)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/92190 and -19\/7902.\nAnswer: 276570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44 + 80.06. What is f rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97623 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1851.54 - 23.46. Let c = o + 1873.7104. Let p = -1.3 - c. What is p rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 347*i**2 - 4732*i - 13126. Give v(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 34*p**4 + 30*p**4 - 65*p**4 + 2*p**2 to the form k*p + o*p**2 + w*p**4 + c*p**3 + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075559252 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.64 + 0.64. Which is the nearest to 1? (a) 5 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7449 divided by -2483?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19948092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 27*r - 60. Let t(f) = 5*f - 60. Let o be t(18). Let l be y(o). Calculate the greatest common divisor of 40 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - -2102?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9.82, -2.2 in ascending order.\nAnswer: -9.82, -2.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 30. Let l(d) = -d - 5. Let s be l(u). Which is the second smallest value? (a) -0.06 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6391 + 6396. Which is the fourth biggest value? (a) -2\/13 (b) f (c) -8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 90*g + 1413. Let f = 4 - -1. Suppose -3*o + f*o = 178. What is the remainder when o is divided by i(20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 472, 708, 944?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8545 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, -189686, -1, -15\/13 in descending order.\nAnswer: 2, 1\/2, -1, -15\/13, -189686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 120428374488 and -0.17?\nAnswer: 120428374488.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*t, 2*b = 2*t + 10. Let a(r) = 14*r + 39. Let g(i) = -7*i - 20. Let s(h) = -4*a(h) - 9*g(h). Let z be s(-3). Put z, b, -3 in descending order.\nAnswer: b, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137353607 to the nearest integer?\nAnswer: 11720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -17*t + 3300. What is the greatest common factor of t and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3049, -3057, -3065, -3073?\n\"Answer: -8*u - 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10574.77g in milligrams?\nAnswer: 10574770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20201021 (base 3) to base 9\nAnswer: 6637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is db67 - 3?\nAnswer: db64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785 = 2*t + 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**7\/1260 - 23*o**6\/360 + 13*o**5\/20 - 36*o**2. Let v(z) be the third derivative of p(z). Is v(-16) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16.036 in -2, -1\/9, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850666509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 6. Suppose 3*r - 4*r + 3*v + 12 = 0, 22 = 4*r + v. What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3 - 6 + 3*z + 5*z. What is the tens digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42, -24, 1\/2, 2\/53?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217587524?\nAnswer: 2, 7, 11, 64223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/2 - 7*n**3\/3 - 21*n**2\/2 - 54*n - 2. Is y(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 35*g**4\/4 - g**3\/6 + g**2\/2 + 6*g. What is the units digit of a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-25110)\/(-1296) + (-15)\/(-8))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3*z**2 - 4*z. Let j be s(3). Let w be 210\/j*12\/(-10). Differentiate 21*i + 2 - 3*i**2 - w*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10732629 - 12421.45.\nAnswer: -10745050.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 251.11373 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85018223?\nAnswer: 1889, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a - -5?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 4*(sqrt(4400) - (1 + sqrt(4400) + 2) - (2 + sqrt(4400) + 1))*-1))**2.\nAnswer: 3040*sqrt(11) + 70761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**16*(p*p**(-6\/7))\/p*p)\/((p\/(p**(-9)*p))\/((p*p**(-3\/2)\/p)\/p)))**(-1\/2) assuming p is positive.\nAnswer: p**(-65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 24 - 28. What is the nearest to 2\/3 in 0.2, o, -1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/(-315) + -5*14\/105.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -3a0?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1205*u + 621*u - 2843*u as s + i*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 - 3189 = 23*r. Let w = 279 + r. Is 111 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.4 (b) -22 (c) 592\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 30*z. Let x(k) = -10*k**2 - 6*k**2 + 15*k**2 - 5*k**2. Calculate h(x(d)).\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3447 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 108*c - 137. Is 139 a factor of u(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -196, -797, -1806, -3223, -5048, -7281, -9922?\n\"Answer: -204*n**2 + 11*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53.54 - 0.54. Let h = -59089196 - -59089142.999942. Let y = h + l. What is y rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**2 + 231*g + 5510. Give u(-22).\nAnswer: 5268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.02, 1\/34, -4, -8, -2\/33?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*n + 81. Suppose 6*x - 12*x = -n. What is the highest common factor of x and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + (sqrt(208) - (sqrt(208)*-1 + sqrt(208))) - sqrt(208)) + 2*(-1 + sqrt(208))).\nAnswer: -8 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 20 = 5*a, 2*i + 4*a - a - 12 = 0. Suppose -2*z + i*z = -24. What is the greatest common factor of 18 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 736*y - 2210\/3.\nAnswer: 2*(y - 1105)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:30 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -6.66\nAnswer: 26.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.89 and -3223239.41175?\nAnswer: 3223242.30175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -5.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = 77 + 99 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w - 20. Let z be l(-4). Let y(b) = 3*b**2 + 1 - b - 2*b**2 + 2*b**2 + z. Let a be y(2). Solve q = x, -4*x + a + 3 = 3*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 44, 11, -46, -133, -256, -421, -634?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1356277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2003*f - 8 + 14.\nAnswer: -2003*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799, 1594, 2389, 3184?\nAnswer: 3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*b*f**3*z - 81*b*f*z - 2599*f**3*z - 2*f*z wrt b.\nAnswer: 13*f**3*z - 81*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(0*t - 3*t + 5*t + (4 - 3 - 3)*(-2*t + t + 3*t) - t - 2*t + t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:00 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -343441, -343443, -343445?\n\"Answer: -2*h - 343439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 5*t + 10. Let n(m) = m**2 - 2*m - 4. Let p(l) = -5*n(l) - 2*r(l). Let s(f) = 18*f - 4. What is s(p(a))?\nAnswer: -54*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4\/3 - 155*k**3\/3 - 145*k**2 - 425*k\/3 - 140\/3 = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*l - 0*l + 226, 0 = 4*z + 5*l - 455. Suppose 22*n + z = 27*n. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + d. Let h(b) = 1724*b**3 + 12*b**2 + 6*b. Give h(o) - 6*w(o).\nAnswer: 1724*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 - 270. Sort 89, -5, w in increasing order.\nAnswer: -5, w, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {w: 4, g: 5, j: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 2)*(0 - 8 - 6) - 3 + 3 + 4)*(5*q**4 - 2*q**3 + 2*q**3) to g*q**4 + r + u*q**2 + o*q**3 + m*q and give g.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5 - -3) + 139. Calculate the highest common factor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Suppose -102 - 88 = -5*i + 5*s, b*i + 4*s = 46. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1840*o - 11699 - 46327 - 854 = 0 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*p + 332 + 1139, -2*p + m = -578. Calculate the remainder when p is divided by 273.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1*(0\/1)\/(-4). Let z be (2\/(-3))\/(i\/24). Suppose 7*x + 107 = z*x. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + (-1 - -5) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1807)\/39*((-2)\/4)\/((-4)\/(-24))?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1. Suppose 38*i + 110 - 148 = 0. Let y(a) = a - 23. What is i*y(f) + 6*k(f)?\nAnswer: f - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*g + 85, 2*g + 13 = 3. What is the third derivative of -451*u + 451*u - 11*u**2 + q*u**3 wrt u?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -996?\nAnswer: -5\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416949 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4061 (base 7) to base 6.\nAnswer: -10315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 13*o + 7. Suppose 13 - 3 = 5*w, 4*w + 28 = 3*q. Give s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let f = 10700 - 10646.03. Let d = f + -54. Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18147308 to the nearest integer?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -892*w + 12611 + 10611 + 6038 - 5176 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)*q*q**7\/q*q\/((q\/q**(-7))\/q)*q**(-4\/3)\/q assuming q is positive.\nAnswer: q**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u - 9. Let z(d) = -3*d + 2. Suppose -3*i - 6 = 3*l, -4*i + 3*i + 2*l - 2 = 0. Calculate i*c(j) - 9*z(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*u = -0*u - 14, 13*u = -13*u + 23*u - 752 + 770 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - 4*y + 2. Determine t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335579 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4\/5 (b) -2\/59 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/7 - 5*m**4\/7 - 2*m**3\/7 + 10*m**2\/7 + m\/7 - 5\/7 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 108*c**2 + 3872*c - 7752. Give h(2).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = -a - 196 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -23*o**3 - 10*o**2 - 4*o + 2. Let x(l) = -46*l**3 - 20*l**2 - 9*l + 5. Give -5*j(i) + 2*x(i).\nAnswer: 23*i**3 + 10*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*x - 11*x + 76 = 0, -5*x + 132 = 4*v. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -86. Let b(u) = -u**2 + 10*u - 17. Let o be b(k). Let w(c) = -c**3 + 7*c**2 - 5. What is w(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/(n**5*n)*n**13*(n**3\/n)\/n assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (2 - (4 - 2))) + 3. Let m be (t\/3)\/((-6)\/18). Let k be m - ((-90 - -3) + 3). Calculate the greatest common divisor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3 - 13. Let c be 1 + u - 44\/(-4). Let q be (-6)\/c - 1\/(-5). Is q != -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57283279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let v(b) = 10 - 7 + 852*b + 10 - 13. Determine l(v(f)).\nAnswer: 1451808*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 6*o - 3*o)*(4 - 1 - 4) - o + 5*o - 2*o + 2*o - 3*o + 3*o - 3*o - o + 2*o + (1 - 2*o - 1)*(-38 + 35 - 241) to p + u*o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736 times -1806?\nAnswer: -4941216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -193. Let s = 78 + h. Let t(r) = 2*r + 2*r - 5*r + 2. What is t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148994149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017368708 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/16 - -69\/112. Put -4\/9, u, 1\/10 in increasing order.\nAnswer: -4\/9, 1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = 4 + 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173548 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + (-34 - -30) - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*i**5 + 7*i**4 + 66*i**2 + 82448021*i.\nAnswer: 1980*i**3 + 84*i**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*q + 48 = 0, -3*x - q = -37*x + 164 - 1289 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 + 2)*(-224)\/(-80) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*-2 + 26. Let a be (-264)\/(-52) + 5\/(-65). Calculate the highest common divisor of k and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1686 - 6?\nAnswer: -168c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 45*o**2 + 97*o - 53. Give s(47).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, 3579, -5, -5\/33 in increasing order.\nAnswer: -5, -5\/33, 1\/14, 3579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-64)\/168 - 4\/7. Let w = -1.45 - -1.3. Let o = w + 0.05. What is the second smallest value in 5, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let a(r) = 56111*r. Give a(u(d)).\nAnswer: -112222*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*t**2 - 358*t**2 - 356*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63300*l**3 - 31660*l**3 - 31643*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f + 614 = 19 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 83 + 83 + (4 - 2*p - 4)*(-1 + 0 + 2))*(4*p + p**3 - 4*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4542?\nAnswer: 13626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1989908 and 532.\nAnswer: 13929356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 3. Suppose 2*n - 2*x = 12, -2*n - 9 = -0*n + q*x. Is n <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 19619*h**3 + 274519*h**2 + 960645*h.\nAnswer: h*(h + 7)**2*(h + 19605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 19.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + 6 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000011111 (base 2) in base 13?\nAnswer: -937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + 421. Suppose 0 = -5*j - t - 99. What is j rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -40192391.\nAnswer: -40192391.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 26. Suppose 0 = -3*p + 2*p - 2*v + 15, -4*v = -q*p - 10. Let k be 51\/(-119)*(-88)\/6. Is p bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 483549\/91 - 37195\/7. Let x = 9\/10 + -2\/5. What is the nearest to x in -2\/9, -10, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2116538330 to the nearest one hundred thousand.\nAnswer: 2116500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, 145, 10.\nAnswer: 10, 145, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33530891627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z**2 + 111*z + 4. Let y(i) = -102*i**2 - 780*i - 27. Give -27*x(h) - 4*y(h).\nAnswer: 3*h**2 + 123*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*((k\/k**(3\/11)*k)\/k)\/k*k)\/((((k\/(k\/(k*k\/((k\/(k**(-6)\/k))\/k))))\/k)\/k*k*k)\/k))\/(k**(-5\/2))**22)**17 assuming k is positive.\nAnswer: k**(11917\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782 (base 9) in base 7?\nAnswer: 15332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0155448498 + 0.2.\nAnswer: -0.8155448498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3782760102568 and 49.\nAnswer: 49.3782760102568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143132 divided by 4?\nAnswer: 285783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from jrbge?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 496\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -67. Which is the closest to 1? (a) y (b) -1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000228528 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -564?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317106541 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 - -125.51. Which is smaller: o or -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t - 24. Let n(c) = -1. Let b(i) = -72*n(i) + 3*z(i). Calculate the remainder when b(-1) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486331.\nAnswer: 486331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -8. Let d(b) = 2*b - 11. Let c(h) = -h + 10. Let o(i) = 3*c(i) + 2*d(i). Determine o(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/860?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrmwrwmrmrvrwv. What is prob of sequence vrmw?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2588\/15 + 18629\/30. Factor 3\/8*j**2 + o + 69\/2*j.\nAnswer: 3*(j + 46)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(7 - (-510)\/(-72)). Calculate the common denominator of -55\/2 and m\/(-20)*(-53)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*m + 4482, 12*m + 7462 = 17*m - 4*p. What are the prime factors of m?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6 = 0, 90 - 89 = 2*n - 3*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -27. Suppose -z*u + 3*u = -70. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaoeozawwcewoaocaoao. Give prob of picking 1 w, 1 c, and 2 e.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9680590.\nAnswer: 2, 5, 43, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*m - 164 + 1201 = -5623 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1, c: 5, a: 1}. Give prob of picking 1 l and 2 c.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 610, 611, 618, 637, 674, 735?\n\"Answer: x**3 - 3*x**2 + 3*x + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.019 - -0.519. Which is the smallest value? (a) -2\/17 (b) 1 (c) v (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6224886 and 102762.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q)**(-4)\/(q**(-1)\/q)**(-37) assuming q is positive.\nAnswer: q**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suu when three letters picked without replacement from schucsscusshuss?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5 - 2 - 3*z**2 + 11*z**2 + 14 - 18*z. Let k(h) = 532*h + 11 - 567*h + 15*h**2 + 4. Let a(m) = -5*j(m) + 3*k(m). Factor a(b).\nAnswer: 5*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358791.3 - -1146?\nAnswer: -357645.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6052*l**2 + 2*l**3 - 3*l**3 - 12114*l**2 - 1 + 6065*l**2 + 3 - 6987*l in the form o*l**2 + p*l + w + a*l**3 and give p.\nAnswer: -6987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -4\/7 (c) 0 (d) -3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.6113 kilograms in micrograms?\nAnswer: 605611300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 70.3322.\nAnswer: 69.2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 29*i - 1. Let s be 3 - (4 + -2 + 0). Let o be t(s). Solve 4*x - 5*c - o = 9, 0 = 2*x + 2*c + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + 3\/(-9). Suppose v = 3*u + 3*y + 60, 2*u - y + 37 = -6*y. Let x = 32 + u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 197. Calculate the common denominator of (-4)\/(-8) - 161\/w and 11\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 0 (b) 2 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 7 + (-20 + 10 + -6 - -6) + -3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/33813 and 64\/195.\nAnswer: 169065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -5\/24*n**4 + 5\/18*n**3 + 0*n**2 - 5\/24*n**5 + 0 + 12*n. Suppose w(i) = 0. What is i?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422643862 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:49 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 997658.9 days to milliseconds.\nAnswer: 86197728960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.11, 15\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -462 - -1863\/4. Calculate the common denominator of x and -71\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -10. Let v(k) be the first derivative of -2*k**3\/3 - 3*k**2 - 4*k - 18. Let i(o) = o**2 + 5*o + 3. Determine g*i(b) + 3*v(b).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*r - 17, 0 = -3*y - y - 20. Let x = -1\/26 - 23\/78. Put 10, x, r in decreasing order.\nAnswer: 10, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22645 is divided by 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*b**4 + 3*b**2 + 317*b.\nAnswer: -408*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2, g + 44 = 3*d + 27. Let h(t) = t**3 - 5*t**2 - 5*t - 1. Calculate h(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/4 - 479*o**3 - 9563*o**2\/4 - 3823*o - 1911 = 0. What is o?\nAnswer: -1911, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h. Let d(b) = -684*b - 456. Let u(p) = 4*p + 2. Let s(o) = -d(o) - 228*u(o). Determine s(c(a)).\nAnswer: 1140*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2090*n - 96624 = 714*n + 725*n - 601*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2685?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1501, -1507, -1525, -1561, -1621, -1711, -1837?\n\"Answer: -c**3 + c - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = 3. Let t(j) = -2*j**2 + j**3 + j**2 + 9*j**3. Is t(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90599346?\nAnswer: 2, 3, 23, 218839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1483, 1517, 1551, 1585, 1619, 1653?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/409 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:22 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 6*y - 14. Suppose 5*p + 6 = y*p. Let r(f) = -f**2 + 5*f. Let w be r(4). What is the nearest to 0 in p, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:37 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/13)\/y**(4\/7))\/((((y\/(y\/((y\/(y*y**(3\/8)*y)*y)\/y)*y))\/y)\/y)\/(y\/y**(-2\/11)*y)) assuming y is positive.\nAnswer: y**(48547\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -19, 1, -2502 in decreasing order.\nAnswer: 1, -9, -19, -2502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/456 - (-3)\/(-24).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1249, -4829, -2, 0.\nAnswer: -4829, -1249, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r**2 + r. Let k be j(-1). Let p be (-69)\/(-15) + 4\/k. Let i = 6 + p. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 1 + 0 - t**2 - 4*t. Let o = 86 + -73. Let x = -19 + o. Determine u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*c - 119*c + 250*c.\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 22, 0.12, 71 in decreasing order.\nAnswer: 71, 22, 7, 2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -23*v - 12. Give f(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(4 + sqrt(125) + 0 + sqrt(125) + (sqrt(125) - (5 + (sqrt(125) - sqrt(125)*-1 - sqrt(125) - sqrt(125))))))**2.\nAnswer: -38880*sqrt(5) + 1459296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1550\nAnswer: -1\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -225?\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1070406 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(13\/(390\/21))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 26. Let l = -7 + 14. Let d be m(l). Let n(y) = y**2 + y - 1. Give n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m + m. Let i(u) = -6*u + 2 + m*u + u + u. Does 4 divide i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-8)\/144 + 4\/6. What is the closest to 8 in y, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9057484 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677 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: How many minutes are there between 1:08 PM and 2:04 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:48 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -75) + 16 - 68\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34984 (base 11) in base 8?\nAnswer: 142374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10009\/6, -5, 1.5.\nAnswer: -5, 1.5, 10009\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*f**2 + 342*f + 1042*f**2 + 1138*f**3 - 2090*f**2.\nAnswer: 1138*f**3 + 342*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 47 + -26 + (-32 - 0) + 3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -57. Suppose 0 = -r + 4*r - u. Calculate the greatest common divisor of 34 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514373.\nAnswer: 29, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 155?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2. Let i be x(-1). Let j = 2 + i. Let f = 2 - j. Solve 0*a + a + 13 = 5*q, -4*a + 3*q - 1 = f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 18*u + 111. What is v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 229 = -14*z + 4*r, 5*r + 694 = 3*z. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4\/7 - 100*q**3\/7 - 248*q**2\/7 + 304*q - 2496\/7 = 0.\nAnswer: -6, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1\/60*u**5 + 0 + 0*u - 31*u**2 + 13\/24*u**4 - 4\/3*u**3. Give p(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*u - 1584 = 327*u + 325*u for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1300 divided by -3\nAnswer: -1300\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 22*k = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 2, p: 5, n: 6, a: 1}. Give prob of picking 2 p and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = -2*b. Let q be (b\/(-10))\/((-2)\/10). Suppose q*h + 5 = 4*h. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*d**3*x - 1281*d**2*x - 4*x - 55 wrt d?\nAnswer: 66*d**2*x - 2562*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 26 in ascending order.\nAnswer: 1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 4 - (-2)\/1. Suppose -5*h - 4*m + 20 = y, -2*h - h + 9 = 3*m. Let z = h - -16. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 500 and 153900.\nAnswer: 769500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, e: 2, u: 5}. Give prob of sequence ue.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1408 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 849, 848, 847, 846, 845, 844?\n\"Answer: -v + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 936, 945, 960, 981, 1008, 1041, 1080?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477802?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.12 + -0.12. What is the nearest to o in -3, -0.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 3373.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2502 - -55. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**2. Let r(y) = 2*y**2. Let d(k) = -6*k**2. Let h(a) = 5*d(a) + 14*r(a). Give m(h(q)).\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1122?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2936*v**2 + v - 100. Let t(d) = -23487*d**2 + 7*d - 780. Let f(k) = -23*b(k) + 3*t(k). Differentiate f(j) with respect to j.\nAnswer: -5866*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4183187.42 from 2.4.\nAnswer: 4183189.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {d: 1, w: 5, l: 2, u: 1, f: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62\/2045, -3, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5191 + -1.4809. Which is smaller: -259 or c?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 240*z - 2. Let x(k) = -4652*k - 3. What is i(x(a))?\nAnswer: -1116480*a - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, b: 10, u: 4}. Give prob of sequence cbu.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 362552 (base 7) in base 15?\nAnswer: 14765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 11}. Give prob of picking 2 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 5) to base 9\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -1, -213, 39, 4, 0.\nAnswer: -213, -9, -3, -1, 0, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from oeooaoeooootoaaoooo.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*d - 199820 = 1936*d for d.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/3 + 1*2. Let d = -2 + m. Suppose -30 = -4*b + b. What is the smallest common multiple of b and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) 23 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 8*m + 4*m - 4. Let y be l(5). What are the prime factors of (14 + 1)*48\/y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -562046 or -562080?\nAnswer: -562080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -485, -985, -1489, -2003, -2533, -3085, -3665?\n\"Answer: -h**3 + 4*h**2 - 505*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 3. Suppose 7*b + 5 + 23 = 0. Let l be h(b). Let z(s) = 2*s**2 - 10*s + 3. Is 7 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51999210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1852806 divided by -4.\nAnswer: -926403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**7\/105 - 4*s**6\/75 + 3*s**5\/25 - 2*s**4\/15 + s**3\/15 + 9*s. Factor j(h).\nAnswer: 2*h*(h - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -16*s - 60. Let q(f) = -f**3 - 7*f**2 - 8*f - 6. What is q(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 8. Suppose 3*w + 4*d - 26 = 0, 2*w - 17 - 2 = -3*d. Suppose 0 = 2*y + 5*h + 36, 41 = -5*y + w*y - h. What are the prime factors of j(y)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-140))\/((15 - 11)\/(-16)) - -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfmddld. What is prob of sequence fdd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*c + 1)*(3 + 0 + 0).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/10 - (-78)\/15. Let s be (-3 - q)\/(-2) - 0. Suppose 5*v - 111 = b - 42, -s*v + 40 = 3*b. Calculate the highest common divisor of 117 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 4*u)*(-908 - 48 + 155) - 3*u - 2*u + 6*u + (-1 + 1 + 2*u)*(-1 + 5 - 5) - 4*u + u + 2*u.\nAnswer: 1600*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*o - 16, -2*b + 2*b - 48 = -5*b - 0*b + 12*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4 - 4095*t**3 - 28910*t**2 = 0. What is t?\nAnswer: -7, 0, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 174*l**2 - 575*l + 359. Is r(116) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334.1 + -334. What is the second biggest value in -13, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 1 + 1. Suppose 3*s - 6*s - 12 = f, -m*f + 3 = -3*s. Is ((-110)\/6 - -3)*s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6310)\/(-15) - 6\/9. Let h = z - 336. What is the least common multiple of 66 and h?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*y**3 - 2468*y**3 + 824*y**3 + 822*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 47*u = 49*u + 17. Sort -1, u, -426, -2.\nAnswer: -426, -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctx when three letters picked without replacement from {z: 1, j: 4, t: 2, x: 4, f: 6, c: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*o + 5*o - 8, -6 = -3*o - 3*b. Suppose -t + o*t = 0. Solve t = 3*c - 9 + 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1992079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c. Suppose -33*g = -38*g + 595. Suppose -r = -g + 36. Let i(d) = 83 + 2*d - r. What is i(n(o))?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59895*c + 78255*c - 50833*c.\nAnswer: 87317*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/11 bigger than 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -469\/2 - -234. What is the fourth biggest value in 0, i, -2, 2\/53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 151*f + 291. Determine j(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 2*r - 10, -4*p = 5*r + 29. Suppose 5*y + 0 = 2*c - 2, -4*y = -2*c + 2. Let g = c - p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (2 + -3)*-12)*(28 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 6)*(-4 + 5 - 4)*(-2*m + 4*m + m) + 0*m - 2*m + m in the form z*m + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = -6*m - 315. Is 10 a factor of (-1)\/((-2)\/4) + m\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4, -3*g + 3 + 0 = 3*i. Calculate the highest common factor of i and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51603707, -51603718, -51603729, -51603740?\n\"Answer: -11*f - 51603696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 2525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:56 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1127*-0.25586\nAnswer: 288.35422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/((-38)\/6). Let h = -25\/114 - o. Let q = -24 - -20. What is the smallest value in -2\/9, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 + ((-629)\/231 - 12) - (-12)\/(-66). Factor -8\/21 + 8\/21*j**2 + 2\/21*j - g*j**3.\nAnswer: -2*(j - 4)*(j - 1)*(j + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j**2. Let g(o) = -1511*o**2. What is d(g(n))?\nAnswer: -29680573*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 + 29*t - 12. Determine w(-5).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p**2 + 3*p + 13. Let v be o(0). Suppose -4*b = -11 - v. Find the third derivative of -39*y**b - 22*y**6 - 37*y**2 + 21*y**6 wrt y.\nAnswer: -4800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - i + 1. Let a = 12 - 22. Let l be ((-10)\/(-25))\/(2\/a). Determine b(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(396)))**2.\nAnswer: -1296*sqrt(11) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12460 and 2322544?\nAnswer: 11612720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 112\/(-8) - 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -163 + 98*y**2 - 100*y**2 + 405 in the form k*y + j*y**2 + f and give f.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13798207?\nAnswer: 13798207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/18)\/(18\/405*-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6338 + -0.3662. Which is the fifth smallest value? (a) -0.3 (b) 0.1 (c) p (d) -5 (e) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -83332\nAnswer: -5\/83332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:01 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22253)\/(-56) - 3\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836292 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: Which is bigger: 0 or -14\/206137051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -481, -169, 895, 2993, 6407, 11419, 18311?\nAnswer: 27365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*z + 3*n + 10, 11 = 3*z - n. Let b be 10\/4 + z\/4. Solve -2 = b*i + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 3608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7908752 and 215888?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7 - 111\/(-42)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 30506895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1888*b**3 + 3772*b**3 - 1875*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 303604140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -138. Let r(k) = 5. Let w(y) = y - 4. Calculate g*w(h) + 4*r(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -1\/28*w**8 - 17*w**2 + 0*w**6 + 0*w**4 + 0*w**3 + 0*w**7 - 7\/60*w**5 + 0*w + 0. Find the third derivative of n(i) wrt i.\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 225*x - 4129. Give w(-14).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 439 and 1200.\nAnswer: 526800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:30 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -545 in 2\/11, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 12979675.\nAnswer: 77878050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(5)*4 - sqrt(6))\/(sqrt(2) + sqrt(162)*3).\nAnswer: 3*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u**2 + 1 + 44*u**2 - 14*u - 24*u**2)*((-4*u + 2*u + 0*u)*(-u - 4 + 4) + 2*u**2 - 3*u**2 + 2*u**2 + 4*u - 4*u + 3*u**2).\nAnswer: -6*u**4 - 84*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -m. Let z(l) be the first derivative of 13*l**3 - 2 - 9*l**m - 3*l**3. Let o(v) = -v. Calculate z(o(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g - 119*g + 48*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*f + 111808600*a**3 - 41911831*a**2 + 2*f wrt a?\nAnswer: -12*f + 670851600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + a = -21*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlug when four letters picked without replacement from {s: 4, w: 2, u: 1, l: 1, g: 2}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8344.691ng in micrograms?\nAnswer: 8.344691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 2722*c - 519688. Determine d(-162).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 1. Let m(w) = -2*w**3 - 10*w**2 - 17*w + 1. Let g(z) = 5*a(z) + m(z). Let y be g(-6). Solve -10 = 2*n + 2*j, -n + 3*j + 3 = -y*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -21. Solve 2*n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 10897.771?\nAnswer: 10897.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93558461 to two decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) -0.4 (d) 10 (e) -8 (f) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12474*o - 10652783. Calculate g(-854).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7567666 and 0.3?\nAnswer: 0.52702998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -24 + 14. Let b(a) = 5*a**2 - 2*a + 3*a + a**2. Give b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) -1\/5 (c) 50.15 (d) -1\/6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3, -56 + 60 = 4*s + 4*n. Solve 2*w + 2*p + s*p + 2 = 0, w = p - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -81. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28144470 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -20, 5*x = -2*u + x + 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from papaaaaaaaaaaaap?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.62746 to two dps.\nAnswer: 17.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 40*t\/7 - 200\/7.\nAnswer: -2*(t - 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:35 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 (base 11) in base 14?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15603 + 15603 - 2322*x.\nAnswer: -2322*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 11*p - 80 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -752, -3, 167, 4 in descending order.\nAnswer: 167, 4, 1, -3, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgddgmaab. What is prob of picking 1 g, 1 d, and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 140047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/987 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251996200 rounded to the nearest 1000000?\nAnswer: 252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12) + 374\/3. Suppose 4*n + 7*l - 7 = 6*l, 4*l = 5*n - 35. Suppose n*i = -2*i + b. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f\/(f**(1\/3)*f))\/f*f)\/f*f)**(4\/17)*f\/(f*f*(f**(1\/2)\/f)\/f)*f\/(f\/f**1)*f*f assuming f is positive.\nAnswer: f**(373\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167998 and 912?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011111011 - -101111?\nAnswer: -111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 11 - 20 - 1 - 6*u**2 + 6*u**2.\nAnswer: -9*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*g + 5*a, 2*g + 3*a + 16 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + v - v + v + 0*v + 2*v + (0 + 1 - 3)*(2*v + 0*v - 3*v) + 3*v - 6*v + 4*v to the form x + o*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 640 + -259. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46931\/8 + 5856. Suppose -f + 7 = -14. What is the common denominator of 988\/224 - 6\/f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16 and 1\/78756.\nAnswer: 78756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11906.\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (13 - (-6 + (27 - 11) + 9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.58461936 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:34 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -441 (base 5) in base 7?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s = 237 + 123. Sort -8, 0, s in decreasing order.\nAnswer: 0, -8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2642 = l + l. Let h = l - 1910. Let n = h - -10016\/17. Is n at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878617 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -73 + b + 73 - 7*b. Let v(l) = 7*l**2. Give v(a(d)).\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5 + 7525*j**4 + 135159*j**3 + 247747*j**2 + 120112*j = 0. Calculate j.\nAnswer: -7507, -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.9789 - -0.5889. Let b = -50 - o. Round b to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/6243 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 42*z**2 + 6*z + 2. Let o(y) = 85*y**2 + 10*y + 3. Let r(w) = 5*a(w) - 3*o(w). What is r(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/(-65)*10\/(-4) - -8. Let s(b) = 9*b**3 - 5*b**2 - 5*b. Let q(u) = -45*u**3 + 24*u**2 + 24*u. Give c*q(l) + 24*s(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/910 and -37\/700?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199411542 - -304666861. Let s be ((-648246379030)\/(-60))\/(-67) - 5\/6. Let f = g + s. What is f rounded to the nearest one million?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from nddndndnddndmddm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2\/(5 - 3). Suppose 75 + j = 2*l. Let h be l\/8 + 2\/8. Solve -4*g + h = g, 2*v = 5*g - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + 24*q - 21)*(-4*q**3 + 6*q**3 - 4*q**3) + 13 - 7 + 5*q - 4 + q**4 to the form t*q**2 + s*q**4 + w + u*q + b*q**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 10*b + 12. Let v be j(9). Suppose 22 = -v*u + 31. Solve -1 + 4 = -u*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1230475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 292572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 - 0.2?\nAnswer: -371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10077533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24 = -4*h + 105, 0 = -3*l + 2*h + 187. Let p = l + -97. Let a be -2*(-2)\/4 - (p + 31). Solve -a = -2*u, 2*v - 5*u = 4*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*u**5 - 83*u**5 - 13*u**2 - 8*u**2 wrt u.\nAnswer: -2940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6399 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -20.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w - 4. Let r(p) be the first derivative of 5*p**2\/2 + 2*p - 1. Let g = 174 - 181. What is g*r(u) - 3*s(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 12, 0, 13, 5 in increasing order.\nAnswer: -3, 0, 3, 5, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1819*n - 1193*n + 4181 = 49253 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 20425 (b) -0.4 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 - t**2 + 3. Let n = -1 - 1. Let k be h(n). Calculate the greatest common factor of 273 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 26. Let i be u(9). Let w be (i - (11 - -1)) + 2. Calculate the common denominator of ((-3)\/w)\/(28\/594) and -107\/130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6324 divided by 2?\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40894586?\nAnswer: 2, 20447293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**(-2\/3)\/(((v\/((v*v*v\/(v*v*v*v**(1\/4)*v))\/v))\/v)\/v)**(-39))**(-11\/2) assuming v is positive.\nAnswer: v**(-6259\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 39.\nAnswer: -50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimiimimiiimmiiiim. What is prob of sequence iimi?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -30. Solve 5*j - 2*j + 3 = y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let a = -77 - -77. Suppose -3 = -x, 0 = -a*o + 5*o - z*x. Calculate the greatest common factor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -2\/3, -135?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -25 + 13. Let n = m + 2. Let s be (-12)\/10 - n - (-310)\/1050. What is the nearest to 0.1 in -17, 1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -27*i**2. Let h(k) be the first derivative of 5*k**2 + 147 - 437*k + 437*k. Give x(h(n)).\nAnswer: -2700*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 688700 and 3917425?\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-4*d + 6*d - d)*(-55*d - 16*d - 252*d) + (0 - 1 + 2)*(d**2 - d**2 + d**2) as a*d + l*d**2 + v and give l.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585702 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.5, 0.055, 3, -1.905?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 3, r: 1, j: 1, u: 1, l: 5}. Give prob of sequence rt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499 smaller than 2500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from {c: 17, r: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4 - 13*d + 10*d + (3 + 0 + 0)*(7*d + 0 + 0) to the form u + y*d and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8357.0106 - 0.2\nAnswer: -8357.2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d**(-3))))\/d)\/(d\/(d*d\/d**25*d)))\/((d**(4\/17)*d)\/(d\/(d*(d**(-14\/11)*d)\/d))) assuming d is positive.\nAnswer: d**(-4855\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 127.87+-0.3\nAnswer: 127.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.09448 + -0.09448. Sort 0, -2, 6, z in descending order.\nAnswer: z, 6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(17*(-3)\/(-391))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from ddididdvyyyddiisyydd.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-10))\/(12\/(-10))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/15 + 4\/(-30). Let z(d) = -16755 + t*d - 2777 + 2532 - 5*d. Let r be z(0). What is r rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j)*(-8*j**3 + 12*j**3 + 15*j**3) - 1 + 1 + j**4 + (-3*j - j**3 + 3*j)*(-3*j - j + 6*j) + (4*j + 4*j - 5*j)*(-j**3 + 3*j**3 + 2*j**3).\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 705 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/(-7))*((-2)\/(-2))\/(1729\/(-6422))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42448 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5897, -18287, -37173, -62555, -94433?\n\"Answer: -3248*i**2 - 2646*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*(-23)\/(-115).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 275 = -5*j, 5*j + 156 - 621 = -5*c. Find the common denominator of 1*c\/(-44) + (-2)\/11 and -34\/5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.97 - 0.03. Let o = -1 - c. Let l = -0.2 - -0.2. What is the smallest value in o, l, 3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-136)\/(-2397)*(-30)\/(-80))\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.3 (b) 22 (c) -0.1 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1736 + -27765\/16. Find the common denominator of 127\/108 and r.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhv when three letters picked without replacement from {n: 2, c: 6, v: 2, h: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**3\/6 + 9*b**2\/2 + 10*b. Let x be u(13). Let l = -9 - -4. Put l, -3, x in descending order.\nAnswer: -3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2250\/(-36))\/25*1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264810 a multiple of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -162, -278, -394, -510?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41934 = 14*r - 16*r + 5*i, 8*r - 167604 = -2*i. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*h**4*y - 54*y - 1 wrt h.\nAnswer: -96*h**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2870 - -6259. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 46971.94064459?\nAnswer: -46972.04064459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 66\/7, -120\/41, 6 in descending order.\nAnswer: 66\/7, 6, -120\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.8361nm to micrometers.\nAnswer: 0.0088361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914.633t to milligrams.\nAnswer: 914633000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6035*m + 1 + 110 - 111 to the form w*m + o and give w.\nAnswer: 6035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 - 17*w - 25. Suppose -43 = -27*r + 11. Let u(c) = c**3 + 4*c + 6. Give r*l(y) + 9*u(y).\nAnswer: -y**3 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23521, -47041, -70561, -94081, -117601?\n\"Answer: -23520*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(3)*-1 - sqrt(3) - 4*(3*sqrt(3) - sqrt(3)).\nAnswer: -10*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 4 + 111)\/((-3)\/(-4)). What is the greatest common divisor of 30 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-14)*(-52)\/(-390)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -668 - w - 5*w**3 + 3*w - 5*w**4 + 667 as d*w + v*w**2 + u*w**3 + x*w**4 + q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d = 30*d. Solve -4*f + f = -2*h, h - 2*f = d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-194)*-5*(-30)\/(-50)*(-9)\/(-9).\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22143354881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**(-13\/3))**44*((l*l\/l**2)\/(l**(2\/3)\/l))\/(l\/(l**(-1\/4)\/l*l)*l)**(-17) assuming l is positive.\nAnswer: l**(463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 129358.\nAnswer: 646790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/24 + 17*f**3\/6 + 8*f**2. Let p be b(14). Let w = 6 - p. Solve -w*k + 0*k - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 2*d + 10*d**3 - 5*d + 1 + 0*d**2 - d**2. Is 9 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5319*p*u + 20174*u wrt p.\nAnswer: -5319*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - -2) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dbd2 (base 14) to base 11.\nAnswer: -26617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/2)\/((-2)\/(-10)). Suppose 7*d = 3*r + 3, 17 = -2*r + 29. Let c = v - d. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 9*g - 116. Let p be 5\/g + (-21)\/(-6). Find the second derivative of 3*t + 337*t**3 - 337*t**3 - 3*t**p + 9*t wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2165*k + 17314. Calculate c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -1. Suppose -6*d + i = -3*d. Let j(f) = -7 - 2*f**2 - 3*f**d + 6*f**2 + 2*f**3 + 5*f. Determine j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*o = -77*o - 264. Let u = -124 + o. Solve 2*q + u = -0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 3124.\nAnswer: 156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 10\/3)\/(233\/(-12582))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by 1.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(-2\/9)\/h)))\/h*h)\/(h**(-6)\/h)*((h*h\/h**(-1))\/h*h)**(-2\/39))\/(h**6\/h**(-6))**(4\/5) assuming h is positive.\nAnswer: h**(-2326\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let w(r) = 5*r. Let u(t) = 3*t. Let c(g) = 11*u(g) - 6*w(g). Let v be (((-1)\/(-2))\/1)\/(8\/464). Let y = 43 - v. Calculate y*i(s) + 4*c(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -18. Suppose 4*z = 5*n + r, -2*z - 14 = -z + 3*n. Let t be (0\/(-2))\/(z\/(-1)). Which is smaller: 0.02 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228912498 + -5.1\nAnswer: -228912503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36576 + 40896. What is the smallest common multiple of 3240 and d?\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let v = 66 - 70. Put -0.1, w, v in ascending order.\nAnswer: v, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 7:35 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-6*(sqrt(13)*3 + sqrt(13)))**2 - (1 + sqrt(13))*-3)*-5.\nAnswer: -37455 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from ffuccu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1123.7 - -1172. Let d = i - 48.5. Let a = -39 + 26. Is d equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -40*h + 128*h + 2*h**2 - 49*h - 39*h. Let u(n) = 1226*n**2. Calculate y(u(l)).\nAnswer: 3006152*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 5*t**8\/14 - 3*t**7\/70 + 73*t**5\/20 - 78*t**2 - 6*t. What is the third derivative of y(u) wrt u?\nAnswer: 7200*u**2 - 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 4*x - q, 14 = 2*x - 5*q. Suppose 4*k + 9 = 29, v = k + 1. Solve 0 = -4*a + v + x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 29 - 405*c**2 + 20 + 6)*((c - 6*c + 2*c)*(-c**2 + 4*c**2 - 2*c**2) + 3*c**3 - 6*c**3 + 0*c**3).\nAnswer: 2430*c**5 - 60*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 185221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/28 and -60\/223027.\nAnswer: 892108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7. Let y = a - -0.3. What is the closest to -2 in y, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*i = 4*g - 30, 4*i = -4*g + 12. Suppose 4*d - g*v + 11*v = 1596, -1204 = -3*d - 2*v. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 - u - 1. Let m(d) = -5*d**2 - 10*d + 3. Let h(g) = -c(g) + m(g). What is the units digit of h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 2747336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6953, -6662, -6371, -6080, -5789?\nAnswer: -5498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 = -23*m - 2484. Is -82 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 565*t - 1821*t - 2299*t + 178*t - 1480*t in the form a + y*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1188641483\/334162245 + -2\/1525855. Let b = h - -8\/73. What is the common denominator of b and 38\/251?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1898978 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 3*o - 9*o)*(4*o**2 - 3*o**2 + 2*o**2 + (2*o + 0*o + o)*(1 - 1 + 2*o) + 5*o**2 + 7*o**2 + 5*o**2).\nAnswer: -442*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 56500*p**2 - 199543872*p - 199487376.\nAnswer: -4*(p + 1)*(p + 7062)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 10 - (12 + (-73 - -34)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3 + 3. Solve -s + 4 = -c*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -55*b - 660. Give l(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 63 = 30*n - 25*n, 0 = 5*m + n + 6. Which is the fifth smallest value? (a) m (b) 2\/3 (c) -2\/9 (d) -20.8 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -514*y + 526. Let g(k) = 171*k - 174. Let s(l) = -6*d(l) - 17*g(l). Differentiate s(n) with respect to n.\nAnswer: 177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, w: 1, m: 1, k: 4, g: 1, u: 2}. What is prob of sequence pmgu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 22 = u - 4*g, -g + 2 = -u. Let i = -6.791 + -0.009. Let h = i + 2.8. Which is the smallest value? (a) u (b) -1 (c) h (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/30 - 3*v**4\/8 - v**3\/6 - 6*v**2. Let s be a(-4). Suppose 2*i - 411 = -5*o - 0*i, s*o - 255 = 3*i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*-1 + sqrt(1078) + sqrt(22))\/(sqrt(2) - sqrt(24)\/(sqrt(12) + sqrt(48)\/sqrt(4))))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (27 - (54 + -20))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*q - 165 = -r, -3*q = -r + 35. Suppose 2*x = 2*d + d + 100, -x - 3*d = -r. Let b = -27 + x. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -540602*c**3 - 7*c**2 - 13183*c - 47.\nAnswer: -3243612*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**6 - 2*h**5 + 46828*h**3 - 511642*h**2?\nAnswer: -360*h**3 - 120*h**2 + 280968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cc65 + -63?\nAnswer: cc02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 3 = 13*y. Put 0, 10, y, 3 in decreasing order.\nAnswer: 10, 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44.06 or 0.3361?\nAnswer: 44.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22862, -2, 1, -1 in increasing order.\nAnswer: -22862, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 134*g**2. Let s(j) = -j. What is s(c(u))?\nAnswer: -134*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 2*l + 5*f + 156, 0 = 4*f - 16. Let d be (0 - -1)\/(1 + 0). Calculate the remainder when l is divided by 17 - 4\/(d + (2 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.027188 + 53.969188. Let s = -20 - 34. Let o = s + d. Round o to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h - 10 = 0. Suppose -20 = -4*q, 154 = 3*a - h*q - 2*q. Let c = -33 + a. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3480 (base 12) to base 4.\nAnswer: -1123200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -36*j**3 - j**2 + 9*j + 6. Let n(v) = -49*v**3 - v**2 + 11*v + 7. Calculate 3*n(l) - 4*s(l).\nAnswer: -3*l**3 + l**2 - 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**3 - s**2 + 28*s**3 - 10 - s**4 - 10*s**3 - 8*s + 6*s to j*s**4 + q*s**3 + d + u*s + l*s**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Suppose 4*g - 2*y = -0*y - 8, -4*g - 3*y = 28. Let o(h) = -365*h**2 + 55. Let i(m) = 26*m**2 - 4. Let s(c) = g*o(c) - 55*i(c). Give l(s(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 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: Calculate prob of picking 4 p when four letters picked without replacement from pppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*z - 7*q, 106*z + 3*q = 106*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(6))\/sqrt(5) - (-3 + (sqrt(2) + 3)**2).\nAnswer: -8 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 76 = 892. Let p = -407 + b. What is the highest common divisor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*l = 264*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uev when three letters picked without replacement from {e: 3, j: 1, v: 1, q: 1, u: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = 2*y - 7*y, 0 = -5*c - 5*y. Solve -3*v = c*z - 24, 3*v - 2*z = 7*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269320 divided by -4\nAnswer: 67330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 162895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*p + 9*p - 22*p + 24*p to y + f*p and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(18*53469\/(-14742) + 15\/(-21)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 4*b - b + (4*b - 6*b + 0*b)*(-3 + 2 + 2) - 5*b + 2*b + 2*b - 3*b + b + 0*b + 3*b + 0*b - b + 0 + 0 - 2*b + 4*b + b - 3*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 2456?\nAnswer: -19\/2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 477.026g?\nAnswer: 477026000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -10, -15, -36, -79, -150, -255?\n\"Answer: -u**3 + u**2 + 9*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119166583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from papf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/2)\/((8 - (-1296999)\/(-162126))*4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Suppose -2*x + q = -0. Solve x*v + 10 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74980 is divided by 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 2*m + 16, 0 = -193466*l + 193463*l + 5*m + 51 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from bbfyb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 5*t**2 - 8*t - 66. Let g be w(-4). Solve -2 = 2*p + 4, v - 4*p - g = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b**2 - 4*b - 2. Give t(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0427 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:01 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -5 (c) -0.81 (d) 0 (e) 8\/13 (f) 0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 51. Let t(f) = d*f + 1 - 25*f - 5. Suppose -13*w = -2*w + 33. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*l**2 + 1 + 21*l**2 + 1 - 1 in the form f*l**2 + o + i*l and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.211992mg?\nAnswer: 3211992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142002541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + r + 63 = 0, -5*f - 5*r = -110. Suppose -5*y = 3*i - f, -2*y + 2 = -0. Suppose -2\/3*n**i + 0*n + 0 - 2\/3*n**2 + 4\/3*n**3 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -967 and -6.\nAnswer: 5802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2360405152.\nAnswer: 2, 7, 10537523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 15*j**2 - j + 38. Let m be o(15). Suppose m*n - 4*n = 4579. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8537 is divided by 8469?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4 + 513*b**3 - 17241*b**2 + 32947*b - 16218 = 0.\nAnswer: 1, 34, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(2\/23))\/b*b*b**(-2\/21))\/(b**(3\/17))**23)**15 assuming b is positive.\nAnswer: b**(-92005\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 3\/2*t**2 - 11*t**3 - 9\/5*t**5 + 33\/4*t**4 - 55 + 6*t. Suppose f(v) = 0. Calculate v.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 - 33*p**4 + 57*p**3 - 27*p**2.\nAnswer: 3*p**2*(p - 9)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4313696?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/12 - t**3\/3 - 3*t**2\/2 - t. Let k = 7 - 6. Let w = 4 - k. What is h(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 2. Let q(s) = s - 1. Let n(r) = -2*o(r) + 3*q(r). Let u = -1 + 5. Suppose t = 5*t - u. Calculate n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 + 0.2300096. What is k rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258805 less than -0.240366?\nAnswer: -0.499171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**10\/p*p\/(p*p**(-2\/7)*p)*(p*p*(p\/p**(2\/11))\/p)\/p**8 assuming p is positive.\nAnswer: p**(162\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2364 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 3136?\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 407374 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10411037.386 to the nearest one hundred.\nAnswer: 10411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*t - 16, -3*n - t + 11 = 2. Solve h + 13 = 2*l, -l = 4*h + n*l + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 5*w + 4*w + 15*w**2 + w - 25*w**2 + 15*w**2.\nAnswer: 5*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/5)\/(106\/20 - 5). Calculate the greatest common divisor of 16 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**6\/60 - j**5\/30 - j**3\/3 - 17*j**2. Let d(v) = -v**3 - 4*v**2 - 3*v - 2. Let k be d(-3). List the prime factors of s(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305059836 + 1.\nAnswer: 305059837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192576 and 7230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from jejjjye?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11969 and 0.069.\nAnswer: 825.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9))**(-46)*(z\/z**(-1))**(-1\/8))**6 assuming z is positive.\nAnswer: z**(359\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 17. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/4 - 4897\/676. Which is the second smallest value? (a) z (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22289410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340*a**3 - 2*a**2 - 1002*a wrt a.\nAnswer: 2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3030202223 - 201?\nAnswer: 3030202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2 + 11\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11493, -23015, -34535, -46053, -57569, -69083?\n\"Answer: r**2 - 11525*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 - 316 - (4 - -12) - 78?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43246.\nAnswer: 2, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -3*x**4\/8 + 7*x**3\/6 + 8*x**2 + 3. Let h be p(-2). Solve 0*f - h = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*r - 9, -3*r + 1 = -5*c - 9. Let l(q) = q**2 + 4*q. Let d be l(-3). Let h be d\/(2*(-1)\/2). Solve -h*z - 8 - c = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 3 = 33 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26769 + -26691. Suppose -2*l = -l + 5*x - 6, -l + 2*x + 20 = 0. Calculate the remainder when m is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 3\/(-3))\/(-2). Suppose c = -5*l + 12 + 33. Let d = l + 4. Solve -h - 4 = -5*t + 5, -5*h + d = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x - 2. Determine d(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 15) + ((-2)\/(-16) - 607824\/(-8576)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -1\/210*s**5 + s**2 + 2 + 0*s**3 + 0*s + 0*s**4. Let i(a) be the second derivative of t(a). Factor i(c).\nAnswer: -2*c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578129?\nAnswer: 3, 7, 75149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x**2 - 3*x - 14. Let w = 13 + -8. Let u(q) be the third derivative of 4*q**2 - 3\/20*q**5 + 0 + 0*q - 1\/12*q**4 - 3\/2*q**3. Give w*o(j) - 8*u(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 293*j. Let c(i) = i. Determine m(c(g)).\nAnswer: 293*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 0.12, 13, 2\/9 in increasing order.\nAnswer: -1, 0.12, 2\/9, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41216 and 11776?\nAnswer: 82432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 11. Sort -46, u, 0 in ascending order.\nAnswer: -46, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-16)*a**(-12)*((a*a\/a**(-4\/15))\/a)\/(a**3*a) assuming a is positive.\nAnswer: a**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1052688 and 75?\nAnswer: 26317200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/521763 and -37\/332031.\nAnswer: 3652341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 4:05 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221960 divided by 5.\nAnswer: 44392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240275 and 350.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2 = -34. Let h(o) = 58*o**2 - 7*o + 7. Is h(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 278329, 278337, 278365, 278425, 278529?\n\"Answer: 2*f**3 - 2*f**2 + 278329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 37, 42, 47?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/49165 and 9\/7?\nAnswer: 344155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 1536*s\/5 - 4626\/5.\nAnswer: 2*(s - 3)*(s + 771)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -8. Let t(v) = v**2 - v - 6. Let m be t(3). Suppose m = w*n + 3*n. Solve n*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/3 + 2*w**3\/3 - 4*w**2. Let x(d) = -24*d - 3 + 12*d - 20*d + 24*d. Calculate -3*p(t) - 4*x(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and -102.902509?\nAnswer: 86.902509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 14505296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r**2 + r. Let h be d(2). Let y(z) = -2*z**2 + z**2 + 157*z - 158*z + 2*z**2. Let b(f) = 2*f**2. Determine h*y(k) - 2*b(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0 - v**2 + 3 + 1. Suppose 2*n = -2*c + 573 + 671, 5*c - 1250 = -2*n. Let f = n + -623. Determine t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*c = -4, 2*i + 9*c = 4*c + 22. Suppose 0 = -3*x + i*x. Suppose -3*h + 53818 + 696170 = -v, 2*v - 3*h + 1499988 = x. Round v to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00301463 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72943 is divided by 18112.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1320)\/(-990))\/(3\/(-2))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/35*-2 + (-24)\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 872 - 4*r**4 + 874 - r - r**2 + 11*r**3 in the form g*r + m*r**2 + n*r**4 + i + o*r**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -9*j + 5*j - 27, -7*j = -12*j for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**2 - 32*i + 33. Suppose 0 = 5*b - 3*b - 32. Calculate the remainder when b is divided by p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22*2 + (-22)\/11.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-4)*(-5 - -1). Let g = -11 - -21. Let v = -8 + g. Put j, v, 5 in descending order.\nAnswer: 5, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 17*h - 12. Let g be m(-1). Suppose g = -4*q, -4*d = -4*q + 17 - 37. Suppose 2*n + r = -3*r - 10, -3*n = 4*r + 5. Is n >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/6)\/(l**(-4\/21)\/l) assuming l is positive.\nAnswer: l**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2 (c) 0.299 (d) 3 (e) 0.5 (f) -111\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvkd. What is prob of sequence dvkv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 424 + -434. Find the common denominator of -76\/3 and (52\/x)\/(8\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -28. Calculate the remainder when 106 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/11666 and 5\/4.\nAnswer: 23332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let q = -2 + y. Let p = 835 - 838. Sort -2\/7, q, p.\nAnswer: p, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 8*d**2 - d - 5. Let n be v(-8). Suppose 73 = n*b - 5*r, 4*b - b - 55 = -4*r. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**43\/((((v\/((v**(-1\/4)*v)\/v))\/v)\/v)\/v**(1\/8)) assuming v is positive.\nAnswer: v**(-681\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/20 - 3*b**4\/4 + 9*b**3\/2 + 4*b**2. Factor i(a).\nAnswer: 3*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.7011 - -85?\nAnswer: 186.7011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 3)*(6*r - r - 2*r) - 2*r - 2*r + r + (1 - 1 + 2*r)*(-4 - 3 + 3) to the form u*r + g and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 13 = -22. Suppose 2*l = 4*t + 454, -4*l - x*t + 843 = -0*t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1286064 and -1\/225.\nAnswer: 32151600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*k = 103*k + 3042 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let l(a) = 12 + 3 - 3*a**2 + 5*a**2 - v*a**2. Is l(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4292710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(2 + 2\/(-4)). Solve 0 = -l*i + 2*i - s + 6, 3*i - 22 = 5*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22313 + -22315.0329. What is t rounded to two dps?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -745*y**3 - 744*y**3 - 3 - 746*y**3 + 36*y**2 + y + 2 + 2233*y**3 as f*y**2 + d*y + k + b*y**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717 and 2709543?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1280558 (base 9) to base 14.\nAnswer: -144017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*a + 42, -4*a - 38 = 2*w + 6. Let i be (45\/a)\/(2\/(-4)). Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 8 + 11)*(-3*n - n + 3*n) - 1 + 2*n + 1 + (n - n + 2*n)*(5 - 4 + 0) in the form j*n + o and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a. Let y(x) = 4*x. Let d(p) = -6*w(p) + 17*y(p). Let q(s) = -6*s. Calculate q(d(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 708, 720, 736?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 + 4*v + 2. Let l be r(-3). Let f be (-8 - -2)\/(2 - l\/16). Find the first derivative of 14 - 7 - f + 10*q**4 wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**2*r**2 - 3*k**2*r - 665*k**2 - 6029*k*r**2 wrt r?\nAnswer: -12*k**2 - 12058*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z*z*(z*z*z*z\/(z\/(z\/((z\/((z*z**(5\/4))\/z)*z)\/z)))*z*z)\/z*z))\/z**(-8\/7) assuming z is positive.\nAnswer: z**(-227\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3706 + -3753. Let i = -6.2 - 39.8. Let g = k - i. What is the biggest value in 0.3, -0.4, 0, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3617*r**2*w**3 + 2437*r**2*w - 2*r*w**4 wrt w.\nAnswer: -21702*r**2*w - 24*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - 51. Let k be o(-10). Which is the third smallest value? (a) -2\/11 (b) -0.3 (c) k (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3369284, 3369286, 3369288, 3369290?\nAnswer: 3369292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ed (base 16) to base 12.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27383, 54763, 82143, 109523, 136903?\n\"Answer: 27380*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - -38?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**6\/60 + 33*k**5\/40 + 143*k**4\/24 + 61*k**3\/4 + 37*k**2\/2 - 490*k. Factor l(q).\nAnswer: -(q - 37)*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -809 - -828. What is the remainder when 35 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138813 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/12 - (-24)\/((-144)\/(-1664462)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10337 = -0*k. Let f = k + 500194. Suppose -f = -2*x + 1310143. What is x rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -5*i**4\/12 - i**3\/2 - 5*i**2 + 21*i. Let y be v(-3). Let p = 44 + y. Are -4 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -18916, -5, -6 in increasing order.\nAnswer: -18916, -6, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 - 21739.9?\nAnswer: -21220.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (288\/45)\/((-2)\/(-25)). What is the greatest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1023232819 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13179563 divided by 4.\nAnswer: 13179563\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**42\/y*y**(-9)*y**(7\/3)\/y*y*y\/y**29)**38 assuming y is positive.\nAnswer: y**(722\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 4*k + 4. Let a(r) = 2*r**2 - 5*r + 4. Let g(m) = 3*a(m) - 4*o(m). Let t be 15\/60 + ((-15)\/12 - 2). Determine g(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 17*u + 7806. Let b be r(0). Let c = b + -5303. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(190) + sqrt(190)*-1*3)\/(sqrt(200)\/sqrt(5)) + -4).\nAnswer: 24 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.535864 times -9.9\nAnswer: -5.3050536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5576*m**3 + 16*m**2 + 32*m - 16. Let y(x) = -1115*x**3 - 3*x**2 - 6*x + 3. Determine -3*d(l) - 16*y(l).\nAnswer: 1112*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m + 2. Suppose -9*k = -27 - 9. Suppose 81 = k*n + 5*t, -5*n + 4*t = -62 + 12. Let l = n - 12. Calculate u(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1343 - 1339. Solve j*r - 12 = -2*h, -3*r - 28 = -7*r + 2*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -403 - -401. Let c(i) = -i**2 - 3*i. Let x(l) = -l**2 + l. Determine o*c(n) - 6*x(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6750 > 6747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21\/4 (b) -2 (c) 1\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t**0*t)\/(((t**4\/t)\/t)\/t**(2\/9))*((t*t**(-2\/5)*t)\/(t**(-1\/4)*t))**(4\/9) assuming t is positive.\nAnswer: t**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2581 is divided by 634?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 + 23*r**2 + 27*r + 13. Let a(i) = -6*i**3 - 24*i**2 - 29*i - 13. Suppose 0 = 32*u - 44*u - 48. Let l(s) = u*a(s) - 5*t(s). Determine l(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-2)\/(-15) - 4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -389.3463?\nAnswer: -77.86926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 11*p - 172. What are the prime factors of b(12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4*n + 240*n**3 + 2 - 47*n**3 - 4*n.\nAnswer: 193*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -16 - -14 - (-1 + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/((-12)\/(-20)))\/4. What is the nearest to -13\/5 in 8, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 9*z + 27. Let u be a(11). Let r be (3\/(27\/u))\/(3\/(-18)). Let y = r - -4. What is the nearest to y in 3\/2, 4, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13341196+2077\nAnswer: 13343273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v**2. Let c(p) = -13*p**2 - 14*p - 14. Let r(w) = -6*w**2 - 6*w - 6. Let i(m) = -6*c(m) + 14*r(m). Determine x(i(b)).\nAnswer: -468*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434329635 to the nearest integer?\nAnswer: 20841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/48 - 13*n**3\/24 - 7*n**2\/4 + 5*n + 2. Factor r(i).\nAnswer: (i - 14)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from mmuumml.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1141 + -1139. Solve 2*g - 2 = -4*z, 5*z - 3 = -4*g - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-52)*-13 + (1 + 17 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053313 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1910447m to micrometers.\nAnswer: 191044.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2\/7, 0.5, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeq when three letters picked without replacement from zqqe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 5*n + 5*n - 3*n**3 - 7*n to h*n**2 + x*n + q + s*n**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5314, 5226, 5138, 5050?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 5, 2.8, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - g**3 - 19 - 3*g - 5*g**2 + 20 + 2*g. Suppose 3*h - 10 = 2. Let p(z) = -z + 4. Let r be p(h). What is o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -46, -0.4, -6, 80, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 21. Let k(i) be the second derivative of -2*i**3\/3 + 392*i + 2. Give p(k(n)).\nAnswer: 48*n**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 8*p + 9. Let r be q(-6). Suppose 30 + r = -9*h. Let x = h - -25. What is the least common multiple of x and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9836, -9826, -9816, -9812, -9820?\n\"Answer: -b**3 + 6*b**2 - b - 9840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7855 divided by -5?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 2*v - 1260*v**3 + 3*v - 7642*v**3.\nAnswer: -8902*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 + 49*w**2 - 21*w**2 + 23 - 14*w**2 - 28 + 23.\nAnswer: w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11074*o. Let r(x) = -x. What is r(h(a))?\nAnswer: -11074*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49493, -49507, -49521, -49535, -49549, -49563?\nAnswer: -49577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ossogogggooro. What is prob of sequence gor?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15485 and -10.254937.\nAnswer: -15495.254937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.837 - -0.063. Let t = -160.9 + u. Let w = -128.99999927 - t. Round w to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**0))\/g)**(16\/5)*(g**(2\/5))**8)\/((g*g**0*g)**15)**(-49) assuming g is positive.\nAnswer: g**1470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -521. Let a = 14 + v. Let c = a - 91. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22995 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppj when three letters picked without replacement from {n: 5, j: 1, p: 7}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2880 - -5084. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347572 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {o: 3, l: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40056 (base 10) to base 15.\nAnswer: bd06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + (-4 - 500\/(-8)). Suppose 17*k - 2*k = n. Which is the biggest value? (a) k (b) -1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-37 - (33 + -31 + -6)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-628)\/7)\/(4\/(-14)). Find the second derivative of -159*h**4 - 29*h**5 + d*h**4 - 155*h**4 - 21*h wrt h.\nAnswer: -580*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.67 + -0.67. Let h = 33.9 - m. Put -0.3, 3, h, 0 in decreasing order.\nAnswer: 3, 0, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59373089*h + 56985950 wrt h?\nAnswer: 59373089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9799117 is divided by 544388.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -417*n**5 + 3*n**2 - 2011*n.\nAnswer: -8340*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 5\/7 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 452043 and 452043 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11966 + c**2 - 2*c**2 - 6887 + 0*c**2 to g + p*c + u*c**2 and give g.\nAnswer: 5079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 78 - 52 = -104. Let u(l) = 6*l**2 + 6*l + 6. What is u(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoanuse. What is prob of sequence ou?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.9 + -36.2. Let q = h + 11.3. What is the nearest to 0.1 in -2, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 10*x**2 - 9*x + 5. Let f be s(9). What is the highest common factor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 5*o**2 - o - 2. Let w be t(-5). Solve 2*i + 3*i - 6 = j, w*j - 16 = -2*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1527625*-0.3.\nAnswer: -0.04582875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Suppose -10 = -5*g - 4*z - 11, 5*g - z + 6 = 0. Which is the nearest to -0.2? (a) g (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6162, 6161, 6160, 6159?\nAnswer: 6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41951 is divided by 1921?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a factor of 3447066037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 720*u - 717*u + 10, -3*u + 5 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(27\/6) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:25 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50126?\nAnswer: 2, 71, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 0*i**2 + 0*i**5 + 0*i**4 - 142\/7*i**7 + 2\/3*i**3 + 260 + 0*i**6 - 15*i. What is the third derivative of s(r) wrt r?\nAnswer: -17040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*(-5688)\/1185.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n - 40*n - 7*n + 5*n + 16 as d + g*n and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {o: 2, j: 9, r: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155\/9 - 17. Let w(j) = -j. Let b = 5 - 0. Let f be w(b). What is the third smallest value in -2, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3061*u + 3056*u + 30 = 0, -46073 = -5*o + 2*u. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(847) + (sqrt(847) - (sqrt(847) - (sqrt(847) + sqrt(847)*-2 + sqrt(847))))) + 0)*-6)**2 + 2.\nAnswer: 487874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2494 + -2494.01777. What is l rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 3*z**3 + 3*z**3 - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -1\/32498 (c) -78 (d) -0.5 (e) 0 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9231100 by -25.\nAnswer: 369244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/4 - 3 - (11 - 9). Solve -4 = -4*o - 2*r - 16, 0 = -5*o - i*r - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 2\/(-3) - (-8)\/6. Suppose 0 = -b*u - 3*p, -4*u - 3*p = p. Suppose u = -6*z - 0*z - 6. Put z, -3, 3 in decreasing order.\nAnswer: 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 - 365 + 367 + 0*l**2 to n + c*l + y*l**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*5*(-1196)\/4680?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + h - 8. Let u be y(3). Suppose 5*o = 6 - 11. Put -4, o, u in descending order.\nAnswer: u, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-34 - 41) - (-1 - ((-1 - -1) + 2))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2 + 4. Let w(l) = 3*l + 10 + l - t*l. Let x be w(-7). Solve 4*c = -3*r - c - 18, -c - x = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let f = 2 - p. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342 - 326)\/(64\/(-124)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 21*a**2 + 155*a + 118. Let m(i) = -13*i**2 - 102*i - 79. Let y(l) = 5*g(l) + 8*m(l). Solve y(t) = 0 for t.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.94 - 0.06. Let g(p) = 7 - 2 - p - 1. Let a be g(5). What is the closest to 0.2 in w, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2053 = -29*q - 23. Calculate the remainder when q is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 21*q**2 - 36*q - 9. Determine l(19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a + 8946 - 47650. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*q, -2*f + 2*q + 3 + 19 = 0. Suppose -98852 = -66*w + f*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -11. What is the second smallest value in w, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4\/5 + (-84)\/(-20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x\/x**9)**(-10)*(((x\/(x*x\/((x*(x\/x**(2\/19))\/x*x*x)\/x)))\/x)\/(x**(-8)\/x))**(7\/4) assuming x is positive.\nAnswer: x**(10303\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279642371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 3*z - 5. Let c be f(2). Let b = 8 - -1. What is the highest common divisor of c and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 316\/28 - 2\/7. Let h = g - 9. Suppose -h*t + 40 = -26. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 70*h + 420. Let t be y(-6). Suppose 6*p = 3*p + 5*s + 2566, -3*s - 6 = t. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4471, -6\/37, 1\/2?\nAnswer: 4471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96310.58 and 0.29?\nAnswer: -27930.0682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -94 - (44 - -2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let s(t) = -4 - 4*t**2 + b. Let u(a) = -5*a. Let y(z) = 2*z. Let f(g) = 3*u(g) + 7*y(g). What is s(f(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 + 0*i**4 + 0*i**2 + 0*i**5 - 1\/2*i**3 + 7\/30*i**6 - 10*i. Find the second derivative of k(b) wrt b.\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {x: 2, k: 3, l: 3, n: 2, w: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*r - 36, -8*a - 87 = r - 115 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2 and 47\/1313.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 2. Determine o(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aap when three letters picked without replacement from {a: 2, p: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*j**2*q - 11*j**2 - j*q - 4*j + 23*q wrt j.\nAnswer: 34*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, 33, -4.\nAnswer: -5, -4, -3, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*z**4 + 219*z**2 + 6572.\nAnswer: -68*z**3 + 438*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-19))\/(q**(-4)\/q)*(q**(-9)*q)\/(q*q**2) assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 32. Solve 9 = 5*o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 268*p - 25. Is t(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2488094*o**6 - 3570*o**2 - o - 10 wrt o.\nAnswer: -298571280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16292.31 years in months?\nAnswer: 195507.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54, -199, -440, -777, -1210?\n\"Answer: -48*d**2 - d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*b - 7, -3*b - 5*o = -4 + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}