diff --git "a/data/dm_maths/full_data_1/10411_11255.jsonl" "b/data/dm_maths/full_data_1/10411_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10411_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the common denominator of -68\/321 and 56\/8157.\nAnswer: 872799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 23*q + 31. Let l(i) = -21*i - 30. Let c(d) = -5*j(d) - 4*l(d). What is the tens digit of c(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i + 1095 = 831 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 7*d**2 - 8*d + 6. Let u(v) = -26 + 26 + 3*v - 19. Let r be u(9). What is the smallest common multiple of 7 and i(r)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - (-19 - (-34 - -52))) + -39?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12093 + -418.\nAnswer: -418.12093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21076?\nAnswer: 2, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 33, -3, 0.1 in descending order.\nAnswer: 33, 0.1, -2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-1*sqrt(440))\/sqrt(8))\/(1*sqrt(405)))**2.\nAnswer: 176\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.34056ug to tonnes.\nAnswer: 0.00000000002934056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(2*k + 2*k - k) + (4*k - 3 + 3)*(-3 + 5 + 0) - 5*k + 3*k + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -159. Sort -8, 3, -3, h in increasing order.\nAnswer: -8, -3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 185, 1302, 4331, 10226, 19941, 34430?\n\"Answer: 159*f**3 + 2*f**2 - 2*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuemqyyeeufqme. What is prob of picking 1 f and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b925 + -1?\nAnswer: -b926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 1303, 2919, 5177, 8077, 11619, 15803?\nAnswer: 20629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -72, -97, -142, -213, -316?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181560797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 85 = -100 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a + 8. Let l be z(-9). Suppose 9*s = 16*s - l. Suppose 0 = -9*f + s*f - 10. Solve -3*n + 1 = f*o, 5*n + 9 = 3*o - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/10260 and -139\/23940?\nAnswer: 71820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29336 and -3.\nAnswer: -88008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d - 3. Let m = 22.3 + -23. Let n = m - -0.6. Which is the nearest to -2? (a) 0.2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1027393627 to the nearest integer?\nAnswer: 32053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 52. Calculate the least common multiple of (-360)\/(-50) + 16\/20 and g(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 11*s + 42. Let n(f) = -f**2 - 5*f + 21. Let a(y) = 3*l(y) - 7*n(y). Is a(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 55*t + 21. Let u be q(-23). Let y = u - 537. Let h = y + -167. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204\/2365 - 1\/215. Suppose 5*f - 184 = -649. Let v = 94 + f. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -2 + (22 - 42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 2*z - 12*l, -12*z + 10*z - 2*l - 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-23) - -1 - 1. Let b(u) = 2*u - 20. Let h be 340\/(-119)*(-2 + (-6)\/4). Let m be b(h). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7568 + 22709\/3. Suppose -3 = d - r, 12 = -2*d + 3*r + r. Which is the third biggest value? (a) v (b) 27\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338797648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/19)*t**5*(t**(2\/3)*t)\/t*t*t**(1\/4)*t*(t*t\/t**(-2\/7)*(t\/(t\/(t\/(((t*t**0)\/t)\/t))))\/t)\/(t**(3\/4)\/t**1) assuming t is positive.\nAnswer: t**(9223\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - -2*sqrt(209))*6*-4)\/(sqrt(176)*6 - sqrt(275)*-4))**2*-6.\nAnswer: -36936\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.0969 (b) 0.4 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -23 - -10 - (-1 - -7)) + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22474201 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 + -179. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 20. Suppose 15 = -2*r - x, 0*r - 10 = z*r - 3*x. Round r to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + v**3 + 11 - 3*v - v**2 - 5*v**2. Let k be q(8). Suppose -65 = -4*z + k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 4 + -2 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 4. Let q be z(-7). What is the second derivative of -5*n**2 + 7*n - 10*n**2 + q*n**2 - 5*n**2 wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458461 or -458462?\nAnswer: -458462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 20*d - 237. Let l(m) = -10*m + 146. What is -10*l(b) - 6*x(b)?\nAnswer: -20*b - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.5 + -10. Sort w, -0.4, 2 in decreasing order.\nAnswer: 2, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*y - 191, f + 101*y = 100*y + 40 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4\/9*b**3 - 8\/9*b**2 - 224\/9*b + 256\/3 = 0.\nAnswer: -8, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1446135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 41*h + 2*h - 8*h + h. Let k(q) = q. Give f(k(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p - 2*p**3 + 0*p**3)*(9 - 13 + 9) - 3*p**3 + 4*p**3 - 3*p**3 + (10 - 20*p**2 - 10)*(0*p + 3*p + 0*p).\nAnswer: -72*p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1098.396 and -7.\nAnswer: -7688.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*g + 4*i + 359 = 178*g, 4*g - 288 = 4*i. Solve g = 3*t + 62 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2002*r**3*u - 3598*r**3 - 5*r**2*u + 35*r*u + u + 63 wrt u.\nAnswer: -2002*r**3 - 5*r**2 + 35*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -12101103?\nAnswer: 12101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*g = 2*a + 153, -3*a + 2*g = -236. Suppose -193*o + 194*o = 26. Calculate the highest common divisor of o and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2679 - 26819\/10. Find the common denominator of f and 97\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(209)\/(sqrt(704)*2))**2 + -2).\nAnswer: -493\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 10*h**2 - 10*h - 9. Let d be w(-9). Let c be 5 + -5 - (d - -3) - -85003. What is c rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17788 + -14559. What are the prime factors of p?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, -77, 0.023, -4, 0.06 in descending order.\nAnswer: 2, 1\/4, 0.06, 0.023, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16224 and 3549?\nAnswer: 113568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3788571\/24*-14 + 6\/(-24). What is g rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-6))\/((-1)\/3). What is the third derivative of -a*j**2 - 3*j**5 - 4*j**2 - 5*j**2 - 8*j**5 wrt j?\nAnswer: -660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.294 + -0.525. What is the nearest to q in 2, -0.5, -3, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d = 3*d - 198, 0 = -4*q + d + 161. Suppose -5*x + 10 = s, -4*s = -0*s + x - q. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 151 = 4*y - 144, -6*y + 5*a - 11 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 17. Let i(t) = t**2 + 7*t. Let m be i(p). Which is the biggest value? (a) -0.4 (b) m (c) -0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -93, -212, -377, -588, -845, -1148?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Suppose g*d - d - 20 = 0. Solve d = -4*r, 0 = -y + 4*r - 2*r + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408854, 408200, 407546, 406892, 406238?\nAnswer: 405584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (560*n**2 - 3*n**3 + 4*n**3 - 534*n**2)*(1 - 1 + 2).\nAnswer: 2*n**3 + 52*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59562 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 788.00000567 + -788. Round l to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*j + 2317 - 2277 = 0, 5*z + 57 = -4*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i - 21. Let r(u) = 46*u + 62. Let p(v) = -11*q(v) - 4*r(v). What are the prime factors of p(-10)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 31.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 13*f - 28, -42*m + 13 = 4*f - 22*m - 15*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -46.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29564 + -59129\/2. Which is the smallest value? (a) -3\/10 (b) r (c) -34.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/8, 1\/5, 5\/122?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 - (31 + -21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -497608*b + 21. What is f(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 830\/(-9) - 14\/(-63). Let u = r + 316. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -5, -3\/8, 0.5, 34, -2\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101010 - 11?\nAnswer: 110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11*-539*(-80)\/(-4840)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (2*sqrt(700) + -2 - (0 + (sqrt(700) - sqrt(700)*-1)))**2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -673, -2225, -4797, -8389?\n\"Answer: -510*h**2 - 22*h - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 4029?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let h(s) = -3*s. Let r(k) = -8*k - 6 + 6 + 0. Let z(w) = -14*h(w) + 5*r(w). Calculate z(g(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -950*a + 913*a + 14060. What is the remainder when a is divided by 66?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 684, 2\/3, -17 in ascending order.\nAnswer: -17, 2\/3, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3927)\/(-17))\/(-33)*(-60)\/21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggegdggeeeegeg. Give prob of picking 2 g and 2 e.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -700*n - 692*n - 406*n**2 + 1392*n in the form d + z*n**2 + t*n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174465\/74 + 10327135\/7326. Let g = -948 - z. Let d = -463 + 464. Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 5 + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -423, -1, -0.2, -3\/8, -1\/6 in decreasing order.\nAnswer: -1\/6, -0.2, -3\/8, -1, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6 - 5397*t + 4639*t - 6. Let h(i) = -3*i**2. What is h(g(d))?\nAnswer: -1723692*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i. Suppose 0 = 2*x - 2 - 8. Let s = -1 + x. Let c(o) = -4*o + o + s*o - 4*o. Calculate c(v(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usu when three letters picked without replacement from {u: 2, s: 1, l: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)*w*w**(-1\/10)\/w*(w*w\/w**(1\/3))**(-37) assuming w is positive.\nAnswer: w**(-2003\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 3*l = 98, -4*w = -3*l - 428. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24793920, -24793952, -24793984?\nAnswer: -24794016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*g + 39 - 307*g - 39.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:39 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500 + 1694 = 127*i + 687*i + 566 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -86. Calculate the highest common divisor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 104 = 7*k + x, 15 = -8*x + 5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3, -34, 8, -1, 5 in descending order.\nAnswer: 8, 5, 3, 0, -1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2098795*b**4 + 821955 wrt b.\nAnswer: -8395180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -7*l**3\/3 - 4. Let n = 110 - 72. Let a(g) = -38 - 3*g + n. What is a(c(o))?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 909055?\nAnswer: -4545275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 665 + 5?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84658?\nAnswer: 2, 7, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13804724\/11 - -1253727. Let t = -1249 - o. Let g = 11\/15 + 1\/10. What is the common denominator of g and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 24. Suppose n - 5*n = -y. Suppose k + 3*j = 8, -j + n = 4*k - 4. Solve k*c = 4*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 0*i**2 + 0*i**2)*(-5 - 2*i + 5) - 3*i**2 + 74*i**4 + 0*i**2 - 86*i**4.\nAnswer: -20*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 10*l**2 + 3*l + 7. What is the common denominator of a(10) and ((-288)\/(-20))\/(5*(-6)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 2*x - 1. Give f(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*(10 - (-26)\/39)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 329 and 7259.\nAnswer: 341173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1937.1, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.1, -1937.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. What is the third derivative of -4*a**2 + 6*a**4 + 9*a**2 - 3*a**o wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.3. Let u = 6.86 + -9.86. Which is the second smallest value? (a) r (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 239, -1 in ascending order.\nAnswer: -1, 2, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8893106 is divided by 1141?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:45 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(14) + sqrt(28)\/sqrt(2)) - sqrt(14)) + sqrt(14))\/sqrt(2) + -6*(sqrt(112) + 2) + -2.\nAnswer: -12*sqrt(7) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -22*p**2 + 4*p + 7. Let z be w(-3). Let r = z + 290. Let c = r + -86. Solve -5 = -m - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 0*d**3 - 3*d**3 + d**3 + d**3 - 5*d**3 + 5*d**3 - 5*d**3 + 3*d**3 + (-2 + 2*d + 2)*(-2*d + 2*d - d**2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x + 3*x + 3*x + 1. Let m = 0 + 7. Let g(t) = -183*t + 62*t + 63*t + 57*t. Calculate m*g(d) - 2*r(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2, -3\/8, 1\/4, -49936?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*4*4*sqrt(77)*-4)\/((2*sqrt(56)*-1)\/((sqrt(56) + sqrt(896) - sqrt(56))\/sqrt(7))))**2.\nAnswer: 6488064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/6 + (-2)\/(-4). Suppose -175*q + 157*q - 180 = 0. Which is the third biggest value? (a) q (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -32, 2 in ascending order.\nAnswer: -32, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 11:23 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - (-5 + 9 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 2, 3*i + 2*r - 889 = -891 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30086313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6\/(q*q**(8\/3)*q)*((q**(-4)*q)\/q)\/(q*q**(2\/9)*q) assuming q is positive.\nAnswer: q**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10595 and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 23*f**2 - 13*f**3 + 28*f**2 + 12*f**3 + 0*f**3 in the form i*f**2 + u*f**3 + d*f + x and give i.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 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: What is the value of (-3840)\/213 + 87 + -69?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**4\/24 + 5*m**3\/6 - 3*m**2. What is the units digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 188 = -579. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*n - 26, 2*p + n + 24 = 3*p. Let y = 11 + -7. Suppose 3*r + r = 5*l - 32, 0 = -2*r + y. What is the remainder when p is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.037.\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11263257079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -934327\nAnswer: -8\/934327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 j when three letters picked without replacement from ppjpjijppijjpjjppjp?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4310, 10407, 20578, 34823, 53142, 75535, 102002?\nAnswer: 132543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 19*t**2 + 4. Suppose 0 = 10*k - 3*k - 133. Let m be c(k). Let y be (1 - 4)\/(m + -5). Put 1, -1, y in descending order.\nAnswer: y, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 15, -5*s + 1454 - 235 = 3*v. Suppose -1004 = -2*p - s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g + 3\/112*g**8 + 0*g**5 + 0*g**7 - 1\/8*g**4 + 0 + 2*g**2 + 0*g**6 + 0*g**3. What is the second derivative of n(t) wrt t?\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11474509 divided by 113609.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 9 = -3*s. Suppose -s*j + 4 = -12. Which is the third biggest value? (a) j (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/100 + g**4\/15 - g**3\/10 - 9*g**2\/5 + 3*g. Let f(x) = 0. What is x?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22475, -44947, -67419, -89891?\n\"Answer: -22472*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 163.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and -89\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0 in decreasing order.\nAnswer: 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -58. Let t = -9 - -12. Suppose m = t*j - j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3\/180)\/(44\/(-110))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/7 + 2*t**3 + 3*t**2\/7 - 188*t\/7 - 260\/7 = 0. Calculate t.\nAnswer: -2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19257 and 1089789?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721771452 less than -18013?\nAnswer: 1721753439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -225. Let k(s) = -4*s - 8. What is k(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345828060?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1108, -1093, -1068, -1033, -988, -933, -868?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1785005 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q + 14. Let k be s(0). Let n = k - -3. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 7*q**2 - 6*q - 13. Give r(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1575 - -1574.82. What is the third smallest value in 2\/13, -0.2, -0.3, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 10*d + 10. Let n be r(10). Suppose 0 = 5*t - n, 3*m - t = 4*t - 16. Let q = -195 + 199. Which is the closest to 0.2? (a) m (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*28 - (4 - 20\/12 - (-5324)\/(-726))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212128302?\nAnswer: 2, 3, 617, 57301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.03.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -517 - -532. What is the third derivative of -6 + o**2 + 42*o**3 + 126*o**3 + 76*o**3 + 18*o**3 + f wrt o?\nAnswer: 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143831, -4575232, -10294231, -18300822, -28594999, -41176756, -56046087, -73202986?\nAnswer: -92647447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 633691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.034 and 202?\nAnswer: 202.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 + 225. Sort u, 7, 2, -16 in descending order.\nAnswer: 7, 2, u, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3645.106179 to the nearest ten.\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 4*x - 5*x + x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.299323cm in meters?\nAnswer: 0.05299323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 5169.\nAnswer: 20\/5169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a139a (base 11) to base 15.\nAnswer: 170364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 - (-2)\/1). Let x be d + 0 - (-12)\/2. Suppose -k = x, u - 315 = -4*u - k. What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65477823*b**4 - 151707*b**2 - 3*b.\nAnswer: 1571467752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137576553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -218, -221, -214, -191, -146?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 457 divided by 18\nAnswer: 457\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 14*s**2 - 24*s + 3. What is y(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d - 3*d + d)*(3 - 2*d**2 - 3) - 3*d**3 + 0*d**3 + 0*d**3 + (d + 0*d + 0*d)*(-4*d**2 + 4*d**2 - 2*d**2) + 5*d**3 + 2*d**3 - 4*d**3.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 403 - 299 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 78 + 90*a**2 - a - 35 + a.\nAnswer: 90*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -528, -759, -1012, -1293, -1608?\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 156\/9*((-111839)\/1183 + 95)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7*k + 6 + 11.\nAnswer: 7*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*l - 194*l = -2*z - 2, -2*l + 8 = 3*z. Suppose -27*p = -19*p + 8. Put z, 0, p, -6 in ascending order.\nAnswer: -6, p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (23 + 21 - 29) + -36?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - z - z**2 - 4*z**4 + 0*z + 2 as s*z**4 + a*z + f*z**3 + o*z**2 + p and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lmmlmmmlmmmsls?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 times 636?\nAnswer: -723132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d**2 - d + 1. Let r(x) = 10*x + 291. Suppose 3*m = 3, -4*l + 0*m - 112 = 4*m. Let v be r(l). Calculate b(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 21896 = -22*v. Round v to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fwfffwwwwifif.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*x = 6, 32 = -2*d + 3*x + 6. Let j = 11 + d. Calculate the lowest common multiple of 0\/4 - (-3)\/1 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -18, -1, 38, 105, 206, 347, 534?\n\"Answer: n**3 + 2*n**2 - 12*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 10*j + j)*(-2 + 1 + 3) + 60*j + 44*j + 29*j - j - 3 + 1 + 0.\nAnswer: 156*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200033 - 21022?\nAnswer: 113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*z = -13*z - 17*z - 1150 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49800 and 11447360.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*g - 472*g - 13 + 52 = -2*o, -2*o - 27 = -3*g for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 3. Let k = -1 + 8. Let q = d - k. What is the closest to 0 in q, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = j - 33, -2*j - 39 = 5*s - 4*j. Let c(r) = 2*r**2 + 17*r - 9. Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 + -59?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 460 and 521295.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 8 = 0. Let r = 1 + -1. Solve 3*w = 2*f - 12, -3*f + r*f + 1 = a*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10333 + 11?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (750\/(-24375))\/((-16)\/(-120)*-3)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/50922 and -40\/121647?\nAnswer: 2189646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by (133 - 135)*((4 - 2) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 5*s**3\/3 + 2. Suppose -10*x + 33 + 27 = 0. Let m(i) = -4*i - 6. Let z(q) = -q - 1. Let r(n) = x*z(n) - m(n). Give r(y(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 688*v - 59168.\nAnswer: -2*(v + 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idiidiiiiivhdi. What is prob of sequence ih?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = 6*v, 4*z = 2*v + 6. Solve 4*b + 2*o = 2 + 2, -3*o = z*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 3:00 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -378873 and 218.\nAnswer: -378655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142146 + -78786. Let d be (o\/22)\/(3\/2). Round d to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -774*5\nAnswer: -3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*t - 86, 0 - 63 = -3*g + 3*t. What is the second derivative of g*j**5 + 4*j**5 + 32*j**5 - 49*j + 4*j**5 wrt j?\nAnswer: 1240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598034 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 - -98.3. Which is the nearest to 1? (a) -0.05 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -140f?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 20*o + 160. Let q be (-2)\/10 - (456\/20 - -3). Let t be b(q). Let r(g) = g**3 - 4*g**2 - 5*g. Let p be r(5). Solve t*y - 2*y = p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3108603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64619 and 11317711.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*o + 82*o**2 - 40*o**2 - 43*o**2 to the form d + f*o**2 + n*o and give n.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:17 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001001 + -1?\nAnswer: 10000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44302.\nAnswer: 2, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5066271.\nAnswer: 3, 7, 29, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhhhhhevvyhevhvvhv. Give prob of picking 3 e and 1 h.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Let t = 53 - 48. Let j be g(t). Suppose -q + 0*f + j = -f, -3*q + f = -144. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*m + 58 = 4*m, 0 = 5*q - 5*m - 105. Suppose -5*j - 3*b = -6 + 7, 5*j - 5*b = 15. Solve 26*k = q*k + j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 302, 290, 118, -280, -970, -2018, -3490?\nAnswer: -5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 + 125. Let c = 133.2 + q. Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(63) - sqrt(7)) + (sqrt(36) - sqrt(900))\/sqrt(12).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:49 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*d + 6, 8*f + 9 = -3*d + 3*f. Let s = -6 - d. Let h be -1 - 0 - s - -52. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from jjtmbnmngtmmbjt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n. Let k = n - -26. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, n: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**6\/3 - 8*v**5 + 164*v**4 - 568*v**3\/3 - 326*v**2 + 608*v + 96. Determine x so that u(x) = 0.\nAnswer: -19, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 88 = -3*t. Suppose -2*y + 93 = 3*b, -5*b + t = -4*b + 5*y. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 8. Suppose g*k - 4*k = 75. Suppose 2*d + 67 - 245 = 5*v, d - k = -v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 11\/90*w**5 + 0*w**3 - 73*w + 1\/180*w**6 + 0 - 1\/3*w**4 - 2*w**2. Factor v(i).\nAnswer: 2*i*(i - 1)*(i + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*x**3 - 7 + 8 - 78*x**3 - 1.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 205. Let h = y - 143. Sort h, 2\/17, 2 in descending order.\nAnswer: 2, 2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 62*k + 1. Let m(w) = 47*w**2 + 2. Give t(m(s)).\nAnswer: 2914*s**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 46. Suppose -1 + s = 3*k. Suppose 5*b = k*t - 7*t + 272, 2*t = b + 122. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 466*i + 465*i = 6989, 6*i = 3*f - 20964. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-8)\/w))**(-5\/19)*w\/w**3*w**(6\/13) assuming w is positive.\nAnswer: w**(-1095\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let n = h - -4. Let u(p) = p**3 + 5*p**2 - 21*p - 34. Let z be u(-7). What is the highest common divisor of n and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1746, -1705, -1640, -1551, -1438, -1301, -1140?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*k**2 - 12 - k + 16 - 25 - k wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18756867 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 2*n)*((0 - 3 + 4)*(-10*n - 59*n - 18*n) + 3*n - 2*n - 2*n).\nAnswer: 176*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1416 = 73064. What is b rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1112598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 82*f + 8. Determine o(1).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 + 241 = 0. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718078 is divided by 280?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(448) + -1)*-4)**2.\nAnswer: 256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1057 + 1536. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1314)\/8)\/3*(-32)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26489632 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 961014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 12*d - 6*d + 2 + 0*d**3 - 3*d**2. Calculate the smallest common multiple of h(-5) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7615 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 8*v**2 + 4. Let m be l(8). Let r be (-2)\/6*(-1 - 0). Let 1\/3*z**2 + r*z - 1\/3*z**3 - 1\/3*z**m + 0 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (94\/90)\/(4\/(-12)) + 3. Let m = y - 14\/45. Let z = -327\/5 - -65. Sort 0, z, m in ascending order.\nAnswer: m, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/35 + (-2 - -138). Suppose 96*c - 104*c = -a. Solve -5*z = -3*z + 3*v - c, 15 = 3*z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - 1 + 1)*(-3*f**2 + f**2 - 2*f**2) + (-2*f - 2*f + 2*f)*(0*f**2 + f**2 + f**2))*(-4*f - 10 + f + 5)*(f + 2*f - f).\nAnswer: 72*f**5 + 120*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -385 + 739. Suppose 4*l = 2*l + i. Suppose 2*j - 216 = -5*w + l, -5*j = -20. What is the highest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -194*a**3 - 7*a - 9. Is b(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w**2 + 3. Let b(l) = 8*l**2 + 2. Let h(a) = 6*b(a) - 5*v(a). Let i(d) = -d**2 - d - 1. Give h(n) - 5*i(n).\nAnswer: -2*n**2 + 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336931064 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 95 = -k, 3*k = 4*b - 76. Suppose b*i = 14*i + 43485. Suppose -7*g - i = -10*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 17 = -s, -b = b - 4*s - 20. Let k be (-10)\/(-25) + (-8)\/(-5). Suppose 0*t + 4 = k*t. Solve 0 = -t*m + b*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11159531?\nAnswer: 17, 23, 28541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 + 26*n - 39. Let l be u(17). List the prime factors of l\/(-33) - 6\/(-33).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 882 and 11?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 + 38*b\/7 - 15.\nAnswer: -(b - 35)*(b - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6050516 to the nearest 10000.\nAnswer: -6050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 + (-220)\/16. Let v = l - -12. Let x = 0.01 - -1.99. Sort v, 0.1, x.\nAnswer: 0.1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-26))\/(-4 + 192\/51).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14753 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 4*k + 3. Let q be s(-4). Solve 0*r = -r - t + q, -9 = r - 2*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 32*q**2 - 32*q + 172. Determine l(31).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48808117 to the nearest integer?\nAnswer: 6986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*n**4 + 2*n**3 + 9*n**2 + 7920*n wrt n?\nAnswer: 2664*n**2 + 12*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -1\/2, 113, 3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 2. Let i(l) = 91 + 2*l**2 - l**2 - 90. What is -2*i(z) + v(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = -5*g, 5*g = -11 - 4. Let s = 0.11 + -4.11. Let b = 7.7 + -8. What is the nearest to m in 2, b, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - 0.88. Let w = m + 2.68. What is the second smallest value in 0.8, 3, w?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/3 + 23*z - 19. Let n(m) = -m - 132. Calculate n(y(l)).\nAnswer: -4*l**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 234*z + 409. Give c(57).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, i: 3, v: 2}. Give prob of picking 1 i and 1 j.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -44*f + 40*f - 32, -3*f = 4*k - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**11\/j))**(-36\/5)\/(j**7*j*j**(-16)))**(4\/21) assuming j is positive.\nAnswer: j**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17 + 9*v**2 - 3*v**2 + 18*v - 5*v**2. Let i be x(-19). Suppose -i = -3*d + 3*q + 4, -d + 2*q + 4 = 0. Let r(s) = -s - 4. Calculate r(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 15 + 0 = 8393*s - 8396*s, -5*s = -3*h - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*g - 1225 + 235 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2. Let c(m) = -10*m**2. Calculate w(c(z)).\nAnswer: -500*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/4 - (0 + 48). Let j = -16 - k. Calculate the smallest common multiple of j and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 350 - -738. Calculate the highest common factor of 170 and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 u when four letters picked without replacement from ummmumimmmmmmmuim?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 11 = -4*h, 3*h = -q + 6*q. What is the tens digit of 8\/2 + q - -103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(8\/5)*s*s)\/s**(-1) assuming s is positive.\nAnswer: s**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -496 or -156792\/317?\nAnswer: -156792\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgjj when four letters picked without replacement from {g: 2, j: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667342*w + 666458*w - 15028 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -870 + 888.95. Let g = r + 0.85. Let c = g + -20.59. Round c to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 plus 746?\nAnswer: 748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.634267 kilograms to grams.\nAnswer: 634.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 12*s + 14. Let v be k(11). Suppose v*p = 20 + 187. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 5. Solve b = 4*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3, -2*x + 219 = -0*z + z. Let r = x + -58. What is the remainder when r is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 + 5*m**4\/6 - 3*m**2 - 6*m. Let y be n(10). Let h(a) = a**3 + 7*a**2 + 8*a + 4. Give h(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 1217, 1218, 1219, 1220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(63))\/sqrt(3))\/(sqrt(7) + sqrt(63)\/(sqrt(27)\/sqrt(3))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 1. Let x be i(-4). Let z = 0.015 + 1.985. Which is the second smallest value? (a) x (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2 in descending order.\nAnswer: -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*t - 69*t + 646*t + 4156 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.6 + -20.72. Let w = -0.92 - x. Let l be (-1)\/(-1*(-2 + 8)). What is the smallest value in w, -1\/5, l, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1689909 and 9\/11570?\nAnswer: 1504019010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1257 + 2011. Let k = -422 + j. List the prime factors of k.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= 56\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/5 + 27934*p**3\/5 - 8*p**2\/5 - 111736*p\/5 = 0.\nAnswer: -13967, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 26*j**2 + 58*j**2 - 33*j**2 - 15*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2756 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40\/21 - -11\/105. Calculate the common denominator of 0 + (-1 - (-164)\/(-16)) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**3 - 11*j**3 - 5*j**2 + 9*j**2 in the form r*j + g + n*j**2 + d*j**3 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.9193 to 1 dp.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4373)\/(-2)*(-7)\/(-14))\/(1\/236) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -27\/8 (b) -10 (c) 0 (d) -0.105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1.5, -4, 14, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.7. Suppose 1632 = -26*n + 24*n. Let w be n\/(-54) - 10 - 6. Which is the nearest to 2\/5? (a) m (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10338353 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3944 is divided by 128?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50965946 is divided by 1592685?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.86631777 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9400000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3374, -20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 - 657 = 29*l - 13 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (50\/(-20))\/((-38)\/6 + 3). What is b in 1 + m*b**3 + 1\/4*b**2 - 2*b = 0?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 45?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -33. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -794 - -1229. Suppose 3*y - m = 24. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 2:03 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3, -3\/8, 4, 0.074?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15310689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 72 = 11*c. Does 12 divide (12\/c - -1)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(85)*2*-4 - (sqrt(85) - -6*-2*sqrt(85)))\/(sqrt(605) - (sqrt(605) - 2*sqrt(605))*6).\nAnswer: -12*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.02 (c) 2\/7 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 236071 - 0?\nAnswer: 236071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m - 54*m = 12. Let s be 1 + (m - (-161093)\/(-24)). Let x = -6713 - s. What is the common denominator of x and -8\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 - 7*q**3\/6 + q**2. Let f = 2982 + -2977. What is x(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*m + 12*m + m**3 + 0*m**3)*(-7 + 1 + 3)*(-3*m + 2*m + 2*m).\nAnswer: -3*m**4 - 27*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -214, -190, -132, -28, 134?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -4*q, -2*q - 16 - 2 = -5*a. Let m(t) = 50*t**2 + 2*t + 7. Is m(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114 + 18 - 63)*((3 - 4 + 4)*(1 - 1 - 1)*(-2 + 2 + 4*r) + r - 3*r - 2*r).\nAnswer: -1104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 1, k: 1, y: 5, r: 1}. What is prob of sequence nkr?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2 + (1 - 3 + 1)*(-1 + 0 + 0) + 5 - 1 - 5 - 4 + 4 - 2 + (2 + 0 - 3)*(2 - 5 + 1))*(-o - o + o) in the form g*o + f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12030 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*32989209\/649. Let u be ((-50830)\/4)\/(11\/22). Let f = w + u. What is the common denominator of -43\/22 and f?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 29*u - 15. Let q(g) = 8 + 2 - 24 + 30*g + 2*g**2. Let f(a) = -6*m(a) + 5*q(a). Let f(c) = 0. Calculate c.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 12269 + 3164. What is the remainder when c is divided by 183?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*u = 8*u + 23, 3*u = -15. Are m and 224\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*v = 15, -22*v + 25*v - 10 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -2, -14, 242?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 23, 40, 75, 134?\n\"Answer: r**3 - 2*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 3300321?\nAnswer: 3300231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 4*w - 5*w. Let l = 245 - w. Let n = -9 - -26. What is the greatest common factor of n and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l - 9 - 14*l**2 - 20*l + 4 + l**3 - 5*l. Let m be h(16). Suppose 0 = -m*s + 2*s + 423. Is 47 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -174*f**3 + 2*f**2 - f. Let a be j(1). Let m = 264 + a. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-62 - -43) - (0 - 16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 20 = -t. Let v(j) = j**2 + 10*j + 4. Let i be v(t). Suppose i*x - 50 = -x. Calculate the greatest common divisor of x and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -704.08 rounded to the nearest ten?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrx. Give prob of picking 2 r, 1 x, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m**(1\/3))\/m)\/m))\/(m\/(m\/m**1))*m**(-1\/4)*m*m*m\/m**(-4) assuming m is positive.\nAnswer: m**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, g: 2, f: 1, x: 2}. What is prob of picking 1 g and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 117988781.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/12 - 2*s**3\/9 - 7*s**2\/6 - 4*s\/3 - 17. Factor l(q).\nAnswer: (q - 4)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*j**3*q**3 - 7*j**2*q**2 + 18*j*q**3 wrt j.\nAnswer: -774*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c + 3. Let t be d(0). Suppose -t*b + 1 = -53. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 26135*c**2 - 26134*c**2 + 3*c - c + 1 - 3*c. Let q(z) = 2*z**3 + z**2 - z + 3. Suppose -1 - 14 = 5*f. Determine f*b(n) + q(n).\nAnswer: 2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50511781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 232, 1, 90, -4, 88, 2 in decreasing order.\nAnswer: 232, 90, 88, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:02 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 5*a**2 - 2*a. Suppose 0 = 2*y - 10, 0 = 3*x + 2*y + 2*y - 35. Let g be t(x). Let h be 52\/g + (-1)\/(-5). Which is smaller: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 50 = 2*m. What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1407 + 1405. Sort 3, 0.2, -6.3, c in descending order.\nAnswer: 3, 0.2, c, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 0. Suppose -2*j + k = 7, -2*q - 2*j = -6. Let y = 5 - 5. Solve -c - c - q = y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 288 = -7*v. Let p = v - -20. Solve q - 9 = -3*h, -4*q + 2 = 4*h - p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*j**3*v**3 - 3*a*j**3*v + 10*a*j**2*v + 791*a*v**4 + 7*a*v**2 - 10*j**3*v**2 wrt v.\nAnswer: 6*a*j**3 + 18984*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130 is divided by 81\/(-6 + 3 - -6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 68.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 1. Let a be s(-2). Suppose 0 = a*l - 7 + 1. What is the derivative of -l + z + 0 - 2*z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*b - 12, -3*b - 5*w = -w - 12. Solve b*f - 2*f = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 8 - 2)*(4*i - 16*i + 6*i) as b*i + q and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -9. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 9*o**2 - 8*o - 12. Let s be l(10). Suppose 32 = 5*v - s. Let g be v - ((2 - 1) + -3). Calculate the highest common divisor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15)\/(r*r**(1\/10)))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2) + 2 + 1. Suppose -5*d = 2*k - 0*k + 24, -2*k = 4. What is the biggest value in 2\/3, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*o + 32, 5*o - 23 = -2*a + 4*o. Let k = a + -8. Find the third derivative of -3*l**2 - 2*l**3 + 2*l**3 + l**k wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = d - 0*d - 3*z, -z = 7*d - 9*d + 14 - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011010100111111111010110 + -100?\nAnswer: -1001011010100111111111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20*i + 13608 = 0. Is 49 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/(-4))\/220)\/(2\/(-4)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-2)\/(30\/20). Suppose 0 = -15*m + 14 + 16. Let h(q) = q**3 - 2*q**2 - 2. Let f be h(m). Sort -5, 1, f, x in increasing order.\nAnswer: -5, x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*c - 5*c + 2540 = 0, 0 = 2*c + 10. Let d = l - -262. Let n = 373 + d. What is the greatest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 16. Let s = -23 + 35. Suppose -5*d + 13 = -4*o, o + s = -0*o + 3*d. Solve -o*b = -b - 2*i, -4*i = -b - y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*(sqrt(162) + (sqrt(162)*1 - sqrt(162))))\/(-1*(sqrt(9)*3 - sqrt(9))) + 1)**2.\nAnswer: -15*sqrt(2) + 227\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 39*c - 12 - 37*c - 9. Let s be f(13). Let g = 3 + -3. Put g, -0.2, s in ascending order.\nAnswer: -0.2, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, -1, 154.\nAnswer: -4, -1, 1, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -16 + 67 - (3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + z - z - 4*z + 5*z + z + (-2*z + 2 - 2)*(2 - 4 + 1) + z - 2*z - z + (-2 + 0 + 3)*(z - 2*z + 3*z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k - 11. Suppose -5*n - 5*u = 0, 3*n - 3*u = -16 - 2. Determine h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**5 - 6913*m**4 - 307*m**2 + 7*m wrt m.\nAnswer: -240*m**2 - 165912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrrrmrurrmtrdrrturr. What is prob of sequence md?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 42*l**2 - 484*l - 385. Give c(10).\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.4707 to zero dps.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0 = 5*u - 5, 0 = 764*u - 760*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 2*k**3 + k**3 + (-108*k**2 + 57*k**2 + 103*k**2)*(2*k + 2*k + 2*k).\nAnswer: 313*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n**2 + 5*n + 10. Suppose -5*c = -3*b - 6 - 47, 5*b = -3*c - 43. Let w(h) = -3*h**2 + h + 2. Give b*w(y) + 2*z(y).\nAnswer: 3*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 + 0.18. Let q = d - -0.18. Let y = -2 + 2. Sort q, -1\/6, y in decreasing order.\nAnswer: q, y, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let d be g(2). Solve 3 + 3 = d*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:55 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -429b?\nAnswer: -4299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/6 and 139\/10056?\nAnswer: 10056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*m + 27*m + 31*m - 270 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2123 or -730?\nAnswer: -730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 962707, 1925427, 2888135, 3850825, 4813491, 5776127, 6738727?\n\"Answer: -k**3 + 962727*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3917606373 less than -5?\nAnswer: -4.6082393627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 71. Is -8\/13 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -287. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60825*i + 45074 wrt i.\nAnswer: 60825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.363 - 25.754. Round a to 1 decimal place.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5) - (2 + sqrt(320))).\nAnswer: -7*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j**2 - 5*j + 1. Let b be a(-4). Let u = -19 + b. Differentiate -18*v**3 + 12*v**3 + u + 11*v**3 + 3 with respect to v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:39 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfxzzxfzzxzhxzzn. What is prob of picking 1 z, 2 x, and 1 n?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 5564?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/3 + 4*b**2\/3 + 5*b - 6 = 0.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 5*o + 26. Let c be b(3). Is (c + 1397)*(5 + -9 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*k*p**4 + 747*k*p**2 - 3*k - 101*p**3 wrt p.\nAnswer: 2688*k*p - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m**2 + 140*m - 1929. Let p be a(16). Which is smaller: 3894 or p?\nAnswer: 3894","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112006 - 111996. Suppose -36 = -4*i + 124. Solve -5*s - i = 5*m - d*m, -m + 24 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14*36\/(-126) - -3160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-10)*((-10)\/(-28) + 0). Which is bigger: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166497200 rounded to the nearest 100000?\nAnswer: -166500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40542503 + 435?\nAnswer: -40542024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-288)\/(-28))\/((30\/60)\/(5 - -2))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670218 is divided by 3911?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*z - 168004 = 0, -4*z - 209992 = -4*g - g. What is g rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48866 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l + m, 0 = m + 3 + 2. Suppose c = l + 7. Let s = 22 - c. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -515, -658, -801, -944, -1087?\n\"Answer: -143*a - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2968 + -2982. What is the nearest to 0.1 in -10, v, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69982683, -69982686, -69982689?\n\"Answer: -3*l - 69982680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1335b801 + -5?\nAnswer: -1335b806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7203, 28766, 64701, 115008, 179687, 258738, 352161?\nAnswer: 459956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**4 - 107717*p**3 + 169*p**2 + 71021 wrt p.\nAnswer: 96*p - 646302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = 48*y + 19 + 384 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232501 and 2623?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3076 times -4\nAnswer: 12304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -384835 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1222 <= -1326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5 - 2*x**2 - 113. Let j(t) = -3*t. Determine g(j(c)).\nAnswer: 540*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5074, 5074, 5068, 5050, 5014, 4954, 4864, 4738?\nAnswer: 4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.70979mg to grams.\nAnswer: 0.00470979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 8*p + 6 - 6 as j*p + s and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*b = -h + 17, 0 = -3*b - 9. Let p(r) be the second derivative of r**4\/12 - 4*r**3\/3 + 4*r**2 + r. What are the prime factors of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -37. Suppose 3*n - 33 = -r*a + 4, 3*n - 22 = -2*a. What is the second derivative of k + 13*k**a + 0*k + 8*k wrt k?\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/9))\/l*l**(-2\/27)\/l)\/(l**(1\/2)*l)**(7\/4) assuming l is positive.\nAnswer: l**(-751\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22917865 or -22917864?\nAnswer: -22917864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 544 = -592 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 434400 (base 5) to base 8\nAnswer: 35177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17750*q**3 + 59 - 17228*q**3 - 59 + 34980*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -10*w. Let h be (-28)\/(w + (-5 - -3)). Solve -5*i - 2*z + 8 = -10, 5*i + z - h = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/(-54))\/((-4)\/1758). Let l = -126 + s. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-1)\/(-24)). Suppose 5*h + 4*q + 127 = 0, -3*h + 3*q - 8 = 52. Let r = v - h. Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -1561595.\nAnswer: 1561594.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525 and 4182770?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*-2*(-5 + -16). Let p = t + -23. Find the common denominator of p and -11\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2592248 (base 11) to base 6\nAnswer: 240031034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112644 - -112657. Let v(h) = 4 + 2 - h - 1. Let c be v(3). Solve 5*l + c = -j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 14*b - 26*b + 875 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 4*x - 3*m - 38, 3*x - 5*m - 23 = 0. Suppose -x*z = -2202 + 46. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6539 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 11 - 2*o**3 + 0*o**3 - 23 as y*o + h*o**3 + g + m*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose 0 = -2*v + 6, -5*a + 7*v - 3*v = 67. Let x = a + 15. Solve -o*l = 4*q - 7, 0*q = x*q + 5*l - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y - 33. Suppose -2*k - 3*l = -6*k - 229, -k - 4*l = 81. Let i = k + 74. Calculate the remainder when 173 is divided by q(i).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**2 + 3*y**2 - y**2 + y**6 - 4*y**2 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n**2 - n**2. Let p(f) = 104620*f + 38*f**2 - 5*f**2 - 104620*f. Determine q(p(d)).\nAnswer: -1089*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*m + 476*m = 907*m - 5580 for m.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - ((9 - (4 - 6)) + -15) - 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 123*u + 1734. Determine r(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4004726 is divided by 4099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.37 - -184538.7.\nAnswer: 184537.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -717*x + 11. Is r(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(95)\/sqrt(5) + sqrt(19))**2*2 - 1*(sqrt(475) - sqrt(475)*2)).\nAnswer: 145*sqrt(19) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21915 + 21914.9. What is the nearest to -0.04 in f, -2\/3, 9, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:07 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*m**2 + 6*m**3 - 5*m**3 + 0*m**3)*(3*m + 3*m - 3*m) as a*m**4 + b*m**2 + w + g*m**3 + n*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by 17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 317710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 35 - 11*k**3 - 182.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3*z - z + 3)*(0 + 2 - 7) in the form r + l*z and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -11, -53, -1\/6 in decreasing order.\nAnswer: -0.04, -1\/6, -11, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-5))\/(1\/(-10)). Let h = -34 - t. Let u(c) = 2*c**2 + 20*c + 15. Let f be u(h). Solve -2*s = 5*o - f, -20 = -2*o - o + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*z**2 + 533*c**2 - 24*z**2 wrt z.\nAnswer: -2*c**2*z - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/6570536 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*y**2 - 45*y**2 + 83*y**2 to d*y + r + b*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -301, -2?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -11121220210?\nAnswer: -11121220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5516 + 6597. What is the greatest common factor of u and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*y, -y + f - 6*f = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -0.08 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 40726.94 micrograms?\nAnswer: 0.04072694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 164286 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22248515\/9 + -2475577. Let p = v - -3513. Calculate the common denominator of p and -29\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -174249*b**3 - 513*b**2 - 513*b - 1539. Let q(w) = -1700*w**3 - 5*w**2 - 5*w - 15. Give -513*q(m) + 5*s(m).\nAnswer: 855*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(405))**2 - (sqrt(3)*4 + 3)**2.\nAnswer: -1538\/27 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from ctvay.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365423*i**2 - 2 - 365416*i**2 + 2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1095 times -0.1\nAnswer: 0.01095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16045 is divided by 617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 36, 49, 78, 129?\n\"Answer: w**3 - w**2 - w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - 3*g)*(-4*g - 4*g**2 + 4*g**2 - g**3).\nAnswer: g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9688*b = 9722*b + 662 - 50 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 44*u + 123. Let q be a(3). Let n be (33\/q + 2)*(-636)\/(-371). Suppose -32\/7*r - 128\/7 - n*r**2 = 0. What is r?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15115 (base 8) in base 16?\nAnswer: -1a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 286 = -34. Sort 5, 2, 1\/3, b in decreasing order.\nAnswer: 5, 2, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753419049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511758 by 255879.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + 1 + 0. Suppose 0 = -m - l*m + 108. Suppose 2*b = -w + 280, 2*b = -21 + 13. Calculate the highest common factor of m and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -88666, -1\/2 in ascending order.\nAnswer: -88666, -5\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27 + 196)*(0\/2 + (-4 - -2)). Suppose 0 = 4*v - 3*n + 2544, -2*v - 783 = -3*n + 495. Let r = o - v. What are the prime factors of r?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 2, b: 5, x: 1}. What is prob of sequence xft?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323 + 327. Solve -14 = 2*m - i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 23 (c) 0.2 (d) -0.1 (e) 1\/100 (f) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-24)*10\/(-25)*-5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73722279 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*x + 3*x. Let q(k) be the second derivative of 0*k**4 + x + 13\/20*k**5 - 6*k + 5\/2*k**3 + 0*k**2. Find the second derivative of q(c) wrt c.\nAnswer: 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - (8 - 0) - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 19 + 23 - 2*v + 37.\nAnswer: -4*v + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, 0.28, 2, 2736, -4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s + 19. Let d = 37 - 45. What is the units digit of y(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*x = 2*i + 2*x - 13, x - 18 + 85 = 29*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.081 + 52.919. Let a = t - 51. What is the closest to a in -3, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 8397 + 3575 - 2798 + 3*p.\nAnswer: 2*p + 9174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 137*y + 2180, -5*y + 252 - 159 - 193 = 2*b + 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182.169 - -182. Let b = s + 0.17. What is b rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 105\/(-7)*(1 - 47\/3). Suppose -96*y = -86*y - j. Let l = 43 - -199. What is the highest common divisor of y and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((2 + sqrt(1053))*5 + 0 - (-3 + (sqrt(1053) + -3)*-4)).\nAnswer: -486*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**3 - 6*u**2 + 6*u. Suppose -9 + 1 = -4*j. Let l(q) = 2*q**3 - q**j - 3*q**3 + q + 0*q. Let r = -2731 - -2725. Calculate r*l(g) + i(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 4*d - 28, -r - 4*d = 1. Is r >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:04 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w + 7 - 29*w - w**2 + 18*w. What is the lowest common multiple of r(5) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435+16.4\nAnswer: -418.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -419*b**3 + 1000 + 154*b**3 + b + 864*b**3 + 150*b**3 + 1169*b**3 wrt b?\nAnswer: 11508*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/2 + 239*u\/2 - 237 = 0 for u.\nAnswer: 2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*j - 3*v, 0 = -j + 3*v + 6 + 10. Suppose 3*o - o - 3*i - 28 = 0, 3*o + i - j = 0. Calculate the least common multiple of 4 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 3*z**2 + 3*z + 1. Determine w(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 37, 99, 195, 331, 513, 747, 1039?\nAnswer: 1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -36 + -36 + 113?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyywwywy.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/156*2)\/(3\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397344 is divided by 7886.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {b: 4, v: 8, n: 4, m: 1, p: 1, i: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 680 = -197*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/9)\/((-10)\/15))\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 + 3*u + 1. Let f be a(4). Let j = -52 + 154\/3. Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1268, -1034, -782, -506, -200, 142?\n\"Answer: z**3 + 3*z**2 + 218*z - 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232202082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 16\/91451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 6158aef?\nAnswer: -6158aed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 n, and 1 g when four letters picked without replacement from yyrynlrlntgygy.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 2*c + 2*r, 5*c - 632 = 2*c + r. Calculate the greatest common factor of c and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 8*o**2 + 2. Let h be c(-8). Suppose h*n + 3*w + w = 22, -3*w = -15. Suppose 5*l - 246 = 4*y - 0*y, y = n. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 208997*y**2. Let q(j) = -j**2. Determine q(v(b)).\nAnswer: -43679746009*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 204116*u + 408240.\nAnswer: -2*(u - 2)*(u + 102060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let d be z*-1 + (-15)\/(-5). Suppose d = -11*f + 6*f + 5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2030105?\nAnswer: -2030103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -64536688*r + 8615. Let u(j) = -22471*j + 3. Calculate 3*t(p) - 8615*u(p).\nAnswer: -22399*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/449? (a) -2 (b) -0.3 (c) 3 (d) -1063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 - 661884190.\nAnswer: -661884061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 261*j**2 - 3. Let f(t) = -3*t**2. What is f(c(x))?\nAnswer: -204363*x**4 + 4698*x**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.379 (b) 0.004 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6864*y - 3511*y - 3463*y = -770 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 12.9. What is p rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-2) - (2 + -5). Suppose 3*p = d + 6. Suppose -8 = j - p*r + 2*r, -3*r = -4*j + 2. Solve 10 = 4*q - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 2)\/((-6)\/(-12)). Let n be b\/(-32) - 38\/(-8). Suppose 4*v + 32 = 2*f - 28, n*f - 123 = v. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let x = 3 - y. Let g = 70 - 66. Which is the biggest value? (a) x (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -26) + (-5 - -1) + (-14 - -22)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**3 + 3779*w**2 - 4122*w - 4416. What is p(-316)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/25*(-2 + 3). Let r(y) = -14*y - 2. Let t be r(-1). Suppose -2*o + t = 2*o. Calculate the highest common factor of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 20. Calculate y(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-46)\/(-4))\/((-1)\/(-2)). Suppose -u = f + n - 80, -257 = -5*f + 2*u. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-174)\/30 - -6) + 14\/(-20). Let x = -2\/33 + 52\/11. Let f = 79\/15 - x. What is the second biggest value in f, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27858009 divided by -1083\nAnswer: 25723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238760689?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 10*r + 9. Let j be w(-6). Suppose 61 = 4*f - 5*m, 0*m = -3*f - 2*m + 63. What is the greatest common divisor of j and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15680 is divided by 392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -50417.3?\nAnswer: -50417.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2135 or -2132?\nAnswer: -2135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -3, -2, 1.618 in descending order.\nAnswer: 1.618, 2\/9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(441))\/sqrt(7).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.02, 2\/7, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2930 is divided by 138.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*p**3\/7 - 47084*p**2\/7 - 1021288*p\/7 - 264880 = 0. Calculate p.\nAnswer: -98\/5, -2, 4730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*z - 4183, 5*z - 6957 = -5*d + 9*d. What are the prime factors of z?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210173 is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*u - 20 = 0, 9*u - 72 = -0*u. What is s in 1\/4*s**v + 3\/4*s + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**7*k))**(3\/2) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 4*i. Let b(j) = -3*j. Give b(h(v)).\nAnswer: -3*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4 - 5*n**2 + 9*n + 6 + 3*n**2. Let l(u) = -3*u**2 + 17*u + 4. Let p(j) = 5*g(j) - 3*l(j). Suppose -5*c + 6*c + 3 = 0. Calculate p(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.149 and 2593540.\nAnswer: -386437.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 3}. What is prob of sequence oovo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49914407\/5 + -12079293653\/1210. Let x = t + 2\/121. What is the common denominator of x and -59\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*z + 6, -3*q + 16*z + 20*z = 34*z + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -53*w + 137. What is x(5)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3214 - -9767. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 3261?\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -14*s**4\/9 + 842*s**3\/9 + 3392*s**2\/9 + 4072*s\/9 + 512\/3 = 0.\nAnswer: -2, -1, -6\/7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v - 64. Calculate k(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-39)\/39)\/((-2)\/996). Suppose d*j = 507*j - 918. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/20*(-45)\/(-27)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1856710943 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -2) + -3 + (-2 - (-9 - 0)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(104))\/(-4*sqrt(8)) + -5.\nAnswer: -8 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7450332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00142622275 to five decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2641861.\nAnswer: -1320930.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 - 63. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 281*o - 3. Is i(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + a2?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11166 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s - 4. Let i(g) = -g. Let j(o) = -12*i(o) + l(o). Let d(k) = 1. Let x(a) = 4*d(a) + j(a). Let b(h) = -3*h**2. What is b(x(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4585*x**2 + 2293*x**2 + 2294*x**2 - x**3 - 67 to the form p*x + q + r*x**2 + k*x**3 and give q.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 259379383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (918\/(-255))\/(6\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 30 = f, -3*f + 4*n + 23 + 41 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -120\/293, 2, -5?\nAnswer: -120\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/8 and 91\/228602?\nAnswer: 914408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -42, 0.2, -0.4, -140, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262592 is divided by 720.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(152) - sqrt(152))\/sqrt(8))**2 + 0.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*c**4\/11 + 50*c**3\/11 - 42*c**2\/11 + 6*c\/11 + 4\/11 = 0. What is c?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 144*g + 1620. Let p be j(-12). Let n be 3\/9*(-1 - -7). Suppose -p*o + n = -34*o. Sort 16, -5, o in ascending order.\nAnswer: -5, o, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 + 3*j**4\/8 + 37*j**3\/6 - 49*j**2. Let u be p(-21). Calculate the highest common factor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -461 - -458. What is the nearest to -0.17 in 2, -5, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 32*f + 258. Give z(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -4)*14\/2. What is the highest common divisor of g and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 32 = 3*f, 5*f - m + 0*m - 56 = 0. Suppose z - 8 = -0*z. Let i = z - 6. What is the lowest common multiple of i and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 397 - 124 = 0. Calculate the remainder when w is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5281341 to the power of 1\/2, to the nearest integer?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1023 (c) -2\/5 (d) -1\/4 (e) 0.18 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2. Let r(w) = 30*w**2. What is -6*a(h) - r(h)?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-1\/2))**6*j**(-1\/15)\/j*j*(j**6*j)\/j assuming j is positive.\nAnswer: j**(314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 5*c**2 - 4*c - 4. Let s be x(-5). Suppose 6 = t - s. Suppose y - m - 10 = -2*m, 3*y - 5*m - t = 0. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s - 97. Let h be t(12). Find the first derivative of -57*l + h*l - 61*l + 24 + 47 - 17*l wrt l.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19 + 4 + 2*g + 31 + 19*g. What is the remainder when v(3) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*h - 19*h + 73*h + (0 - 2 + 1)*(0*h + 0*h - h) + 3*h - 2*h + h)*(-7*h + 2*h + 3*h)*(7 + 7 + 2) to the form q + d*h**2 + v*h and give d.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/25 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 2*n + 1. Let j(c) = 1232*c**3 - 672*c - 336. What is -672*f(w) - 2*j(w)?\nAnswer: -1792*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at most as big as 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 374 and 0.3.\nAnswer: 112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43999 = -237*a + 92*a - 603571. Which is bigger: a or -4464?\nAnswer: -4464","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + 4)**2*3.\nAnswer: 48*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.09999933 - 1.1. What is k rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1102\/158 + (14 - (-47472)\/(-3397)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 0.036, 0.1, -5, 0.18 in increasing order.\nAnswer: -5, 0.036, 0.1, 0.18, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 50 - -133)*(-2)\/(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (72\/40)\/((-39)\/(-180)) - 8\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8943, -3\/7, 1, 21, 56?\nAnswer: -8943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24.54 = 25\/146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -2 - (-12)\/6. Suppose -4*c = -q*m - 83, c = -3*m + 7*m + 18. Let z = c + -12. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15394910 to the nearest one hundred thousand.\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67.96 - -68. Let g = m - -16.96. What is the second smallest value in g, 0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) 0.5 (c) -100 (d) 2\/21 (e) -75 (f) -2 (g) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 66 + 11*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 59 = 4*m. Let i = m - -66. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 107, 1 in decreasing order.\nAnswer: 107, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 225\/(-27)*(-2)\/(-6) + 3. Put -0.5, r, -4 in descending order.\nAnswer: r, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-8) - 18\/6. Let c(h) = -8*h + 95. Let i be c(12). What is the nearest to 6 in 3\/2, i, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 4. Let n = 10683097 + -10683167.00051. Let v = n + u. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 12, 29, 66, 129, 224, 357?\n\"Answer: a**3 + a**2 - 7*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10852.4 - -10852. Which is the third smallest value? (a) 0 (b) n (c) 29 (d) 1\/2 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 14 = 4*x, -2*l = -3*l - 3*x - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -43, 0.5, -2\/7, -12, 90?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-125)\/((-5 + -1)\/6). Suppose 131 = 3*b + r. What is the lowest common multiple of b and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:00 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 493 - 2230. What is the tens digit of -10 - (-10 - -5) - n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/36 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -6) + -18 - 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v**5 + 7*v**4 + 2*v**2 + 13*v**5 - 9 + 15*v + 0*v**2 - 14*v**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*o + 100*o + 6*o**3 + 1 - 49*o.\nAnswer: 6*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 5*w**4\/24 + w**3\/6 - 35*w**2. Determine g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:00 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 318 - 308. Which is the nearest to 7? (a) -2\/5 (b) -2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + (-1)\/(-3). Suppose 2*y - 6 = -y. Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.051 and 26951281.\nAnswer: 26951280.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593893 is divided by 39592?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 2412. Let y(p) = -4*p**2. Give y(t(b)).\nAnswer: -4*b**2 - 19296*b - 23270976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus -0.332?\nAnswer: -16.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112978448972 - -6803562196783827\/60220. Let w be ((-4)\/(-6022))\/((-4)\/12). Let b = y + w. What is the common denominator of 23\/20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7990*b + 375535. Calculate a(-47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 77, 1\/5, -1\/3, -1 in decreasing order.\nAnswer: 77, 2, 1\/5, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18667331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 14\/13*p**2 + 2\/13*p**4 + 0*p**3 + 12\/13*p.\nAnswer: 2*p*(p - 2)*(p - 1)*(p + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2931\/2*15\/(-10). Let k = z - -2214. What is the common denominator of k and 95\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4efa8 - 0?\nAnswer: -4efa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/5 + 808*r**4\/5 + 10130*r**3 + 94868*r**2\/5 - 202632*r\/5 - 78480 = 0. Calculate r.\nAnswer: -327, -75, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 12:54 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 - (-2 - -3 - -4). Suppose 5*v + 2*g - 7 = 2*v, -5*g + 14 = 4*v. What is the lowest common multiple of v and d\/(-117) - 238\/(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 493592 and -188?\nAnswer: -92795296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*o**3 + 3*o**2 - 35*o?\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4.3. Which is the nearest to -1? (a) v (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1109 - 781. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15903.64um to millimeters.\nAnswer: 15.90364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 694, 878, 962, 952, 854, 674?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 82*b - 38. Let h be k(28). Suppose -555 = -h*c + 21. Calculate the remainder when c is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 456*g*m**4 + g*m**2 + 2*g*m + 62*g - 10342*m**5 - 1734*m**2 - 36 wrt m?\nAnswer: 10944*g*m - 620520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(126)\/sqrt(3))\/(sqrt(168)\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8, 0 = -5*u - 3*f - f + 18. Suppose r = -u*r. Solve r = -5*q - 1 + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*w - 33440 = 75060 for w.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from jjddd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1361*t**2 - 7*t - 10. Let n be i(-2). What is the highest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510 times -6.4\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (292305\/(-67455))\/(1\/(-12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -4*r. Let s be 3 - 1 - (r - 1). Let j be (s\/(-15))\/(1\/(-51)). Solve -3*t + 5 = -0*t + 5*q, -5*t - 4*q = -j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/9 + 44*p**3\/3 + 856*p**2\/9 - 17644*p\/3 - 18122 = 0. Calculate p.\nAnswer: -41, -39, -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11937 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1) - -4711)*(-39)\/(-156). Calculate the greatest common factor of 114 and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110954277 to the nearest 100000.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2933.482 rounded to the nearest 10?\nAnswer: -2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -1, 1, 305, 3.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from qdqdqqkqdqbdkdqkqkk?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19982*m + 19982*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 20, 16, -319 in decreasing order.\nAnswer: 20, 16, 4, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (4 - (2 + -1)). Suppose -264 = -q*f - 9*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 0*c**3 - c**3 - 5 + 9*c + 2*c**3 + 9*c**2. Let h(f) = -14*f + 790. Let a be h(57). What is w(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 2*w**2 + w. Let n(b) = -5*b**2 - 2*b + 240. Calculate n(f) + 2*r(f).\nAnswer: -2*f**3 - f**2 + 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31447219277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4395301, 8790590, 13185879?\n\"Answer: 4395289*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 1, 29\/156?\nAnswer: 29\/156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 less than 22884708148?\nAnswer: 22884708148.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - g = 9, -2 = -5*g + 3. List the prime factors of (11 - l)\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45037\/4 + -22517\/2. Which is the fourth biggest value? (a) -5\/4 (b) n (c) -1 (d) -150\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313824914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1744, 1777, 1860, 2017, 2272, 2649, 3172, 3865?\n\"Answer: 4*v**3 + v**2 + 2*v + 1737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 24*v + 3. Calculate i(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/76 in 1, -3, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l + 5*v - 131 = 0, -5*v = 25. What is the remainder when 20 is divided by l*(19\/(-285) + 4\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d - d. Calculate the remainder when -20*d*96\/(-30) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 - -163.9. What is the second biggest value in 0.3, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 1729.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319472 to the power of 1\/2, to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 667\/10005*(35\/45)\/(-7)?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/(-42) - (-207)\/(-161). Sort -13, r, 5, -19, 0 in descending order.\nAnswer: 5, 0, r, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 267204980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:21 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3, 3*q - 7 = -3*m + 2*m. Calculate the smallest common multiple of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560187202 to the power of 1\/2, to the nearest integer?\nAnswer: 23668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79170744.\nAnswer: 2, 3, 103, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1008)*2*-6 - ((1*sqrt(1008))**2 + 5)) + -5)*-3.\nAnswer: 432*sqrt(7) + 3057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 2 (c) 24 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d11 - -b?\nAnswer: -d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/90 + 22583\/9. Let y = b + -4552. Is y\/(-13) + 10\/(-65) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181883058 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:17 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 3*c + 2. Suppose 5*j + q - 3 - 12 = 0, 3*j = q + 9. Let h be z(j). Suppose 4*d + 2 = 2*l - h, l - 3*d = 0. Solve 4*b = -l + 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1521 and -4\/273.\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4332 and 44?\nAnswer: 47652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 - 0 - 1. Solve d = -0*n - n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51798977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d - 2*m + 2, -m = 4*d - 16. Solve -31 + 8 = d*a - 3*g, -2*g + 14 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*j = r - 143*j - 1, -3*j - 1 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 + 2*a - 2. Let v(j) = -1. Let s be 1\/((-1)\/(-2)*-2). Calculate s*u(y) + 2*v(y).\nAnswer: -y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103602818 by -103602818.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-176)\/(-6) - 2\/(-3). Let j(s) = -2*s**3 - 17*s**2 - 21*s + 8. Let c be j(-7). Suppose c*z = 5*z + u. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/2)\/(i**3*i*i)*(i*i*i**1)**(-5\/4) assuming i is positive.\nAnswer: i**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 7) to base 4\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 116 = 0. Let k be 3\/(-12) + r\/4. Solve -5*o = -k*o - 3*y + 11, 3*y = 4*o - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 4. Let o(h) = 1. Let q be 0 + -2 + (-6 - -4). Give q*o(x) - m(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 160 = 5*p. Suppose -3*w + 8*w = p. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 b when four letters picked without replacement from debdddtjejdjejebbbj.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -142859*h**2\/2 - 26*h - 23. Let m be z(-14). What is m rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 6 - 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1825085 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841170, -1682088, -2523004, -3363918, -4204830, -5045740, -5886648?\nAnswer: -6727554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*n**3 - 836*n**3 + 1685*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6692 - -6792. Calculate the highest common factor of 360 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:42 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmxj when four letters picked without replacement from {x: 5, h: 1, j: 5, m: 6}?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -9. Let m(n) = 7*n**3 + 11*n**2 - 11*n + 6. Let t(y) = 3*y**3 + 5*y**2 - 5*y + 3. Let l(p) = k*m(p) + 9*t(p). Let d = 0 - 0. Determine l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9. Let z be f + 0 - (-9 + 7). Let k(q) = 2*q**2 - q - 1. Calculate k(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434a (base 13) in base 11?\nAnswer: 7037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**12)\/s*s*s**(1\/8)*s*s**(-3)*s*s\/s**(8\/7)*s assuming s is positive.\nAnswer: s**(727\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.48 - 0.18. Let f be (0 - -1 - -1) + 2. Suppose 2*q - 2*b = -6, -4*q - b - 11 = -f. Put c, q, -2\/5 in decreasing order.\nAnswer: c, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5)*-1 + 3)**2.\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*u - 20*u + 4*u + 425 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**2 - 3*b**2 + 0*b**2 - 2*b**2 - 1 + 1 + (-2*b**2 - b**2 - b**2)*(-5 + 4 + 3) - 2*b**2 - b**2 + 2*b**2)*(b - b + 3 + 2*b).\nAnswer: -6*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 5 - 5 + (-2*g**2 - 2*g**2 + 5*g**2)*(-2 - 3 + 4) + (-2 + 2 - 4*g)*(g - g + 2*g) to the form v*g + n + y*g**2 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 51 = 9. Is 2 a factor of n + 1\/2*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h**2 + 31*h**2 - 52*h - 19*h**2 to the form a*h + g*h**2 + j and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (15 + -36)) + -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.517 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11585 = -5*i + 10*i - 3*b, -i + 2300 = -4*b. What is the highest common factor of 348 and i?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161022001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 111?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*u = -94 + 54, -224 = 2*m + 27*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 2*n + 5 + 3, -4*w - 18 = -n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.047 - 0.0471. Round b to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -23*i. Let c(p) = -422764*p**2. What is c(r(q))?\nAnswer: -223642156*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 4. Let q(p) = -1. Let b(n) = -4*q(n) + y(n). What is the remainder when b(4) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 42*x - 23*x. What is the closest to -1 in -88, x, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.5 (c) -0.2 (d) -10\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1408\/(-800))\/(-22) - 2\/((-2100)\/(-59))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587150611?\nAnswer: 15551, 102061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3558)\/818340)\/(2\/(-40)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k - 3*s + 271, -5*k + 4*s + 257 = 0. What is the greatest common factor of k and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46682 - 138650 = -32*h. What are the prime factors of h?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 3, -1, -13\/4, -39, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2601046, -5202187, -7803316, -10404427, -13005514, -15606571, -18207592, -20808571?\n\"Answer: c**3 - 2601148*c + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d - 155. Is 2532\/(-2)*d\/62 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/3))\/k*k*k**(-1\/3))\/(k*k**(-2\/7)*(k**(-1\/4)*k)\/k))**(3\/13) assuming k is positive.\nAnswer: k**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -831397*b**4 - 6*b**3 - 12*b**2 - 114*b + 116299?\nAnswer: -9976764*b**2 - 36*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6202*z = 6129*z + 1533 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(19 - 1590*(-3)\/(-252)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 - 8*j - 1. Let w be s(3). Suppose 0 = -35*p + w*p - 18. Let r(i) = -2*i + 4. Give r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:53 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*(sqrt(4)*-1 - sqrt(4)))\/(sqrt(72) - (sqrt(72)*1 + sqrt(72)) - sqrt(72)))**2.\nAnswer: 8*sqrt(2)\/3 + 146\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, d: 6, c: 2}. Give prob of picking 1 c and 3 n.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.45 - 0.15. Let j = p + 8.6. Is j at most as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21 = i - 5, 19 = 2*t - i. Let s be (-34)\/(-10) - t\/3. Put -1\/3, s, -3 in increasing order.\nAnswer: -3, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 209228919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*r - 2, 3*k - 2*r - 3 + 4 = 0. Let s(c) = 2*c + 4. Let n be s(k). Is n != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-32)\/36)\/(10\/45). Suppose 5*c + 23 = -i, -2*i + i = -2. Is c bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 138 = 4*a + 2*p, p + 1 = 0. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555702.\nAnswer: 2, 3, 7, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -210.191230518 and 218.\nAnswer: 7.808769482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(960) - sqrt(960)*-1 - sqrt(960)) + sqrt(60))\/sqrt(5))\/(sqrt(36)\/(sqrt(9) - (sqrt(9) - (sqrt(1944)\/sqrt(6) + sqrt(9))))).\nAnswer: 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**2 + 5*h - 13. Give b(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 17568741?\nAnswer: -17568716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177283591*k**3 - 81201412*k wrt k?\nAnswer: 1063701546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 12:59 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-8)\/(-16). Suppose 0 = -b - 160 - 45. Is 6 a factor of b\/(-20) + n\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 5. Let q(u) = -6*u - 8. Let b(s) = 1. Let a(v) = 12*b(v) + q(v). Let x(m) = 5*a(m) + 4*t(m). Let i(p) = -p**2. Determine x(i(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*l + 12*l - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/10)\/((-6)\/(-15)). Let r be 4*(-1)\/(t - 15). Let i(a) = 7*a - 13. Let s be i(2). Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6261*k - 6297*k + 468 = 0. Solve -k*c = 17 - 108 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/2 + 2\/(-2). Suppose 0 = -k*f + 5 + 3. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1939*u + 228812. What is o(118)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(208)*1 - 4*(-2 + sqrt(208)))**2 - (0 + (sqrt(208) - (4*sqrt(208)*-1)**2)).\nAnswer: -220*sqrt(13) + 5281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/3*720\/(-480)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 392, -1 in descending order.\nAnswer: 392, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.0271 - -0.8271. Which is the nearest to 1\/4? (a) 2\/5 (b) 56\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z\/(z*(z*z**(-4\/9)*z)\/z))*z*z*z)*z*z**(1\/19)\/z assuming z is positive.\nAnswer: z**(-428\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:59 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 203 = l - 7*n, -8 = -4*n. Calculate the highest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 21*k**2 - 2. Let z(l) = 41*l**2 - 4. Let c(a) = 11*p(a) - 6*z(a). Let o(v) = -v. Determine c(o(u)).\nAnswer: -15*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1268 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-39)*481\/(-13)?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 14*f**2 - 22*f - 129. Determine m(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/14)*m)\/m**(-20))\/(m\/(m**(-3)*m))**(-2\/27) assuming m is positive.\nAnswer: m**(2791\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22428 divided by 534\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1046089933396*o**3 + 5*o**2 - 5*o**2 - 1046089933394*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184876438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 349010009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 87*z - 3876. Solve 10*o - z = -31 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 0.25. Let x = -0.5 - q. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 2*f - 4. Let u(n) = 11*n**2 - 26*n + 52. Let z(j) = -13*k(j) - u(j). Let o(y) = 81*y + 76. What is z(o(q))?\nAnswer: 13122*q**2 + 24624*q + 11552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7.125?\nAnswer: 9.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 1. Let b be j(4). Let l = 15 + b. Suppose l*u + 4 = -0*u. Put 2, 0, u in descending order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5, -6*m - 11*z = 6*m - 11*m + 4*z + 79 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2658 + 2664. Let x be 10*1*1\/8. What is the second biggest value in x, 2, 1\/7, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*k - 15, k - 14 = -2*k - 5*a. Solve -t + 0*t = k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**4\/13 + 4*f**3\/13 - 14*f**2\/13 - 4*f\/13 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:21 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/(4\/90). Suppose c - 4*m + 26 = 0, -10 = 5*c + m + j. Let o = c + 5. What is the nearest to o in 0.1, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*c + u - 2, 2*c + 4*u + 20 = 0. Calculate the remainder when 54 is divided by (-118)\/c + 6\/24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 726*x - 13. Let t(v) = 9*v - 2. What is j(o) - 6*t(o)?\nAnswer: 672*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -888, -1773, -2660, -3549?\nAnswer: -4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 + 225*w**3 - 725*w**2 - 225*w + 720 = 0. Calculate w.\nAnswer: -48, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 2. Let o = 8 + -3. Suppose -6 - 4 = o*d. Determine a(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q. Solve q*n = n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(200)*-2 - sqrt(200)) - sqrt(200))**2 - sqrt(6)\/(sqrt(12) - (-1*sqrt(12) + sqrt(12))).\nAnswer: -sqrt(2)\/2 + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5\/8, -54, 32?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279650225 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -2824113712883.\nAnswer: -2824113712886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10427127*f**4*r - 3*f**2*r + 226402*f*r - f wrt f?\nAnswer: -250251048*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*k - 195*k - 198*k.\nAnswer: -232*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132448, 265232, 398698, 533188, 669044, 806608?\nAnswer: 946222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -58*q**3 + 5*q + 5. Let y(u) = -58*u**3 + 6*u + 6. Calculate -6*s(f) + 5*y(f).\nAnswer: 58*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-110)\/(-15))*(-72)\/(-204)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -16948\/13 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(110) + sqrt(110)*2*2 - sqrt(110))\/sqrt(5))\/(-5*sqrt(1584)*-1))**2.\nAnswer: 227\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698901, 698910, 698929, 698958, 698997, 699046, 699105?\nAnswer: 699174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 30\/(-9))*-3. Suppose 3 = 2*n - p. Let w = -14413 - -14417. Solve -b = w*b + n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28543405500 to the nearest one million.\nAnswer: 28543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432722 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4 + 11 = 0. Put 6, 5, q in ascending order.\nAnswer: q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165178 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2*-1*8202\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12 - (1 - 3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 9*g**2 + 0*g**3 - 22\/245*g**7 - 1\/84*g**8 - 11\/210*g**6 + 0*g + 0 - 3\/7*g**4 + 23\/35*g**5. Solve a(z) = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13548 = 11*v - 13746 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 7*k**2 - k - 4. Let n be t(-7). Suppose n*i = 2*q - 28 - 24, 36 = q + i. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371*q**2 + 37*q - 37*q)*(6*q**2 - 4*q**2 - 1 - q**2).\nAnswer: 371*q**4 - 371*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27305 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**4 + 51637*b**2 - 194710 wrt b?\nAnswer: 8*b**3 + 103274*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 18*s**2 - 21*s + 31. Let v be h(-17). Suppose -135*p + 139*p - v = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkzy when four letters picked without replacement from zywzwwkykwy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - 2) + (21 - ((19 - 1) + -7))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -56. Suppose 5*z = -4*g + 192, 5*z + 48 = 6*z + i*g. What is the remainder when 68 is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 87*r + 34 = -90*r, 5*d - 46 = 2*r for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 93927 divided by 133\nAnswer: 93927\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 187 = n + 3*n, 3*l - 93 = 4*n. Suppose 0 = 3*u, 3*z = 8*z - 3*u - l. Suppose -p + 5*d = -14, 4*p = -2*d + z*d + 26. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -143, 3 in descending order.\nAnswer: 3, -3, -9, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 7*n + 2 + 4*n. Suppose 22*u - 3*p + 18 = 17*u, -3*u - 5*p = 38. What is the tens digit of k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2162\/5? (a) -1 (b) 3 (c) 2 (d) 5 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3 - 4) - (3 - 2). Let h(y) = -17*y**3 + 3*y. Let u be h(m). Suppose -o + 22 = -5*p, 0 = 5*o - 0*p - 5*p - u. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 11*d**2 + 6. Let v be f(11). Let b be -1*1 - (-5)\/v. Is 1 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/892346 and -55\/3378167.\nAnswer: 47294338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*x = 2, -x + 7 - 19 = 4*f. Is f + 15*(100\/12 + 1) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1714834910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -k + 53. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 216 = -60*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 + 0 = 0. Let y be 1 + 0 + -2 + l. Is y equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 27. Suppose 0 = -3*k - 4*f - 27, -4*k - 4 = 2*f + 22. Give n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255824448 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23477 + 4.23477. Which is the third smallest value? (a) u (b) 334\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + t + 2 - 3 + 2*t + 2. Let y(k) = -k**3 + 17*k**2 - 70*k + 22. Let n be y(6). Calculate b(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 349653*c**2 + 10188975777*c + 50936137935.\nAnswer: 3*(c + 5)*(c + 58273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/27)*d**(-2\/9)*d*d)\/(d\/((d\/d**(-17))\/d)*(d**(-2\/39)*d)\/d*d) assuming d is positive.\nAnswer: d**(5933\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 - (-16 - (-3 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/17, 5, -1?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*4\/22 - 0. Let q = 13.3 - 9.3. Let n = 1.4 - 1.8. Put n, g, q in increasing order.\nAnswer: n, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2. Let o(k) be the second derivative of 7*k**4\/6 + k**3\/6 - 4*k + 5. What is o(q(u))?\nAnswer: 126*u**4 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 30 = -5*l, -5889*f - 15 = 5*l - 5888*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 - 345 - 433)*((-w**2 + 4*w**2 - 5*w**2)*(-3*w**3 - 2*w**3 + 3*w**3) - 3*w**5 + w**5 + 3*w**5).\nAnswer: -4595*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 37*s + 187 = -75 - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-4 + 5 - 2)*(0*c - 3*c + 2*c + 2*c + 4*c - 4*c + (2*c - 3*c - c)*(0 + 2 + 0)) - 22 - c + 22 in the form y*c + b and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 25 + -14 - -751. What is the highest common divisor of 18 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.05 and -257845?\nAnswer: 1302117.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -3*n**2\/2 + 3*n - 98. Let q(u) = -20*u. Give q(f(s)).\nAnswer: 60*s - 60","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 103614320 divided by -55114?\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 14) to base 7\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 59880954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 10232846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 2. Let w(a) = -a**2 - 1. Let z(s) = d(s) - 2*w(s). Let v(x) = 7*x**2. Calculate v(z(g)).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**2 + 8*m - 24. Let l be t(-9). Let s = l + -1077\/2. Calculate the common denominator of s and 19\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010 (base 2) in base 13?\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 4, 2 in decreasing order.\nAnswer: 17, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1489 - -1342.2. Let z = -136 - v. What is z rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87328 + -11614762\/133. Let o be (-110)\/38 - -1*1. Let h = o - n. Sort 1, -0.03, h in increasing order.\nAnswer: h, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.6 or 15214541?\nAnswer: 15214541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2560*m - 9976*m + 955*m to k + q*m and give q.\nAnswer: -11581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -70. What is the nearest to 0.1 in -0.13, -2, d?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 471, 471, 473, 477, 483, 491?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*v - 18 = -10, 5*d - 12 = 3*v. Which is smaller: d or 12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -341*14\/(-462))\/(1\/16).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 801 + -482. Let h = -323 + c. Sort 3, h, 16 in ascending order.\nAnswer: h, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 23*s + 7*s - 232050 = 0. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:02 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 2*y**2 + 2. Let k be u(-2). Suppose -3*z = -2*z - 2*q - 131, -4*q + 262 = k*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3432 - -3432. Let q = -27 + 2. What is the nearest to u in -1, q, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53756376 by -687.\nAnswer: -78248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (0 + -2*3). Suppose -n*r + 8*r = 15. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 - p**4 - 10*p**4 + (0 + 2 + 0)*(-2*p**4 + 6*p**4 - 3*p**4) + 2*p**4 - p + p.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39805043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 o when four letters picked without replacement from mollmolmm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 1 + 1 + 3 + 2*w - 3 + (-1 + 3 + 0)*(0 + 0 + 2*w) - 2 + 2 + 4*w + 2*w - 2*w + 2*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*n + 85. Let p = -83\/3 - n. Suppose -13*a = -18*a + 5. What is the closest to p in 0.1, a, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16234171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100175 (base 9) in base 2?\nAnswer: -10010000001100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -19, 0, 7, 8 in decreasing order.\nAnswer: 12, 8, 7, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94150 and 165.\nAnswer: 3106950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3302 = 8*k + 3262. Solve 29 = k*g + 26*b - 27*b, 2*b = g - 4 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21389 = -125*f + 31*f - 2589. Calculate the least common multiple of 55 and f.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, -1.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/((-5)\/25))\/1. Solve 4 + 1 = f*z, 4*z + 8 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 25, -288 = -3*k + r - 89. Suppose -k*w - 20 = -72*w. Solve 3*x + 10 = w*y, 0*y - 2 = -y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - 55. Let c = 67 - v. Suppose -2*y - c = -4*y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3587 or -3581?\nAnswer: -3587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1030996*t + 23. Let h be g(5). Suppose -5*q + 3*o + h = 0, -o + 0*o - 5155001 = -5*q. What is q rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 23, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1556 = -5*a + 4*z, 2*a = -2*z + 778. Suppose -2*g - 4*l + 2880 = 2*g, 3*g + 5*l = 2152. Let o = g - a. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4898, 9866, 14752, 19556, 24278, 28918, 33476?\nAnswer: 37952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-8))\/(30\/80). Suppose -381 = -3*m + p*v, -3*m + 115 = 2*v - 254. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262.558 + 309.64. Let p = o + -0.082. Let d = 47.00116 - p. Round d to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2 + 1 - 1 = -i, -68*z - 8 = 4*i - 59*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-268920)\/6723*68\/30*3\/(-4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n - 5. Let f be u(-2). Suppose -2*m = f - 9. Is 165\/10*10\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133 - -10204?\nAnswer: 11342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44907884?\nAnswer: 2, 7, 1603853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -508, -1024, -1540?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1564085 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = -28. Find the common denominator of -28\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + -143?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 0*h + 3 + 0*h. Let r = 3192 + -3187. Let b(v) = 4*v - 7. Calculate r*m(t) + 2*b(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33442, -34072, -34692, -35296, -35878, -36432, -36952?\nAnswer: -37432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68026.704 rounded to the nearest 10?\nAnswer: 68030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/((-32)\/22))\/((-1)\/2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22924882 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 - 4*o**2 + o**2 + (4*o - 8*o - 14*o)*(1927 + 400*o - 1927).\nAnswer: -7198*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82892, -82895, -82890, -82871, -82832, -82767, -82670, -82535?\n\"Answer: p**3 - 2*p**2 - 4*p - 82887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - 3) + (-3 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Suppose -3*c + 2*g + 157 = 0, -c - 3*g + 67 = -0*g. Let x be d\/10 + c\/(-325). Is -1 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 - (-25)\/20. Suppose 5 = 2*v + u. Find the third derivative of 2*j**2 + 0*j**2 - j**v + j**3 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 67 = -p, 25*s - 24*s = p - 65. Let y(t) = -t**2 + t + 6. Let c be y(0). What is the highest common divisor of c and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30702 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 26*t**2 + 4 + 4 + 12 - 11.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 232768 - 11168 = 0. Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7 - 6*p - 7 - 6 + 3 + 7. Let x(d) = -2*d**2. What is x(g(q))?\nAnswer: -72*q**2 - 240*q - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109 - 5*g**2 + 109)*(-4 + 1 + 0) + g**2 + g**2 - g**2 + (-7 + 4 + 2)*(-g**2 + g**2 - 2*g**2) - g + g - 5*g**2 to u*g + d + t*g**2 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43384 and 727320?\nAnswer: 12364440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119713 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202220102 (base 3) in base 6?\nAnswer: 2234102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -8 (b) 4 (c) -1\/10 (d) 0.04505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 16*u**3 - 9)*(-2*u**2 - u**2 + 2*u**2).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 1}. Give prob of sequence ru.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = 4*y, -2*p + 5*p + 12 = 2*y. Suppose y = -4*d + 87 + 165. What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = b + 17, -9*b - 3*j + 12 = -10*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**4)**(-16))**(9\/2))**(1\/14) assuming h is positive.\nAnswer: h**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120312587 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*j = -5*c + 36, 3*c + 4*j = 27. Suppose 2 = -4*y - 3*w, 282*w - 286*w = 4*y + 8. Suppose 2525 = 5*g - c*k + y*k, 5*k = g - 489. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/((-34)\/(-102) + (-2642)\/7908). Round x to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - -54. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 131 + 144 + -337 + 169\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -666\/5 (c) 1 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/30*3*10. Let f(j) = 139*j - 7. Let a(r) = 138*r - 8. Let z(k) = n*f(k) - 4*a(k). List the prime factors of z(2).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 6. Determine v(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5027 and -4.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 - 9*b + 53. Calculate h(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -17. Let g = -18.5 + 14. Let a = g + q. Put -5, 5, a in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7700 divided by -25?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*q + 9*q - 32*q)*(q + 5*q - 4*q + 2) to the form g*q + s + l*q**2 and give g.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 507*x + 5438. Determine o(-12).\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(2*1\/(-2)). Suppose 5*d + 2 = -3. Put -5, a, d in decreasing order.\nAnswer: a, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-2) + -4)\/1. Let t be 6\/v + -5 + 5. Suppose 0 = t*b - 8*b + 95. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + z**2)*(z**3 + z**3 - 4*z**3) + (z**5 + 0*z**5 - 2*z**5)*(-3 - 3 + 2).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 34*f**2. Let p(a) be the second derivative of a**4\/12 + 29*a. Determine s(p(l)).\nAnswer: 34*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {i: 6, c: 7, l: 1, a: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {n: 2, v: 1, l: 1, j: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103176, 103177, 103178, 103179, 103180, 103181?\n\"Answer: z + 103175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -v - 0*g - 4, -8 = 4*v + 2*g. Solve 5*d + 5 = 4*d + 2*a, 2*d - a - 2 = v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + v)*(-2 + 0 - 3) + (-3 + 1 + 3)*(-2*v + 3*v + v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105264?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165353052?\nAnswer: 2, 3, 67, 205663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9 = 54. Let s(u) be the second derivative of -u**3\/6 - 5*u**2 - 4*u. Let l be s(c). Is 2\/55 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123996 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*4*-2. Let q = 7.1 - 2.1. Let c(i) = i + 20. Let z be c(-18). What is the closest to -2 in z, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2\/2 - 186*x + 4818 = 0.\nAnswer: -146, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 * -719\nAnswer: -3235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-22) - 707001\/(-2883485) and 27\/7.\nAnswer: 3605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3549?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 5*q + 6. Let v be o(-4). Suppose v*r = -8 + 22. Calculate the greatest common divisor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530.7517cm to millimeters.\nAnswer: 5307.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) -59 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqpllppssqli. Give prob of picking 1 l and 1 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 901\/1485 - 2\/297. Let g = -1.05 - -1. Let m = g - -0.15. Which is the closest to -1\/4? (a) m (b) z (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 755*i**2*x**2 - 2*i**2*x - 11*i**2 - i*x**2 + 2*i*x wrt x.\nAnswer: 1510*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 13*n**5\/30 + n**3\/6 - 2*n**2. Suppose 0*h + h - 4 = -g, 0 = 4*h + g - 7. What is the units digit of x(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6835 = -19*k + 11120. Calculate the remainder when k is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*r + 326269 = 342619 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2142231 (base 5) to base 16\nAnswer: -9147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 5*m**4\/12 + 5*m. Let v(c) = c**2. Determine -2*h(s) + 9*v(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1463.84 + 1463. Let q = 2533 - 2534.021. Let l = s - q. What is l rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/120 + 7*y**5\/60 - y**3\/6 + 56*y**2. Determine m(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/((-133)\/((-149891)\/(-552))).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**4 + 29721 - 19*y**4 - 29280)*(0*y - y + 3*y).\nAnswer: -26*y**5 + 882*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.621 - -10.221. Which is the second smallest value? (a) n (b) -1\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 + -52 + -46 + 54\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3417583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -174*l - 1. Let m(z) = -149*z**2 + 2*z. Give m(i(u)).\nAnswer: -4511124*u**2 - 52200*u - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + ((2*sqrt(245) - -3*(sqrt(5) - sqrt(5)*3)) + (1*sqrt(245) - sqrt(245) - sqrt(5) - sqrt(20)*5))**2).\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68992, 275957, 620906, 1103845, 1724780?\n\"Answer: p**3 + 68986*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.51 - 3.51. Which is the second smallest value? (a) -0.4 (b) p (c) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1081*p - 611*p + 38916 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 3*d**5\/20 - 5*d**4\/12 + d**3\/2 + 3*d**2\/2 - 14*d. What is the tens digit of r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -20\/33, 4 in decreasing order.\nAnswer: 4, -0.5, -20\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 55*t + 59. Give j(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011 - 10101100001000110?\nAnswer: -10101011111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17400)\/(4\/(-18) - (-3635)\/15750). Round y to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -2247.\nAnswer: -16\/2247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/692 and -77\/1188856.\nAnswer: 1188856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ebb (base 15) in base 12?\nAnswer: -3a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 23697a?\nAnswer: -236979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80)*-1 - (sqrt(80) - (1 + sqrt(80))*6))**2 - (1 + sqrt(80) + -5 + 3).\nAnswer: 316*sqrt(5) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -45) + (34 - 13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2 + 66*k + 225 = 0.\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*((-5*d + 2*d + d)*(3*d + 4 - 4) - 27 + 46*d**2 + 27).\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/2 + 21978*h**4 - 80527389*h**3 + 160988850*h**2 - 160966875*h\/2 = 0. What is h?\nAnswer: 0, 1, 7325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*z - 4*z**2 + 89*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*s + 5 + 0 = 0, 3*v + 5*s + 7 = 0. Let r = -262 - -262. What is the tens digit of (-784)\/(-8) - (r - 1)*v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263137796436 + -263137783408.5499971. Let l = g + -13027.33. Let q = -0.12 + l. What is q rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2))\/((-35)\/70). Let i(y) = -8800*y**3 - 2*y**2 + 2*y**2. Let g be i(v). Round g to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10658871367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/33)\/(4\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/11897 or 1?\nAnswer: -21\/11897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - 45ba9b?\nAnswer: -45ba7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 32\nAnswer: -79\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i + 6250\/3*i**4 - 2*i**2 + 0 + 0*i**3. Let t be c(5). What is t rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169999613, 169999615, 169999611, 169999595, 169999561?\nAnswer: 169999503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 26*z**3 - 1019*z + 1019*z)*(2 - 6 + 2).\nAnswer: 52*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 62*g**2 - 10*g + 4092. Determine x(-63).\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87*f*g**2 + 1297*f + 8*g**2 + 3462 wrt f?\nAnswer: -87*g**2 + 1297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 28*g + 3. Let f be x(14). Suppose 4*y - r = 831, -f*r - 25 = -16. Calculate the remainder when y is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 + 5*n - 1. Suppose -27 + 2 = -5*t. Let m be h(t). What is the smallest common multiple of 8\/m*(-5)\/4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o**2 - 205*o + 8. Let h be f(12). Suppose -65 = -4*s - s. Let t = 151\/477 - 5\/53. Which is the third smallest value? (a) h (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxuutu. Give prob of sequence tux.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*m + 26 = -14, 46 = 4*x + m. Let 81 + 14*o**2 - x*o**2 - 3*o - 87 = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 97304.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/(-5))\/3)\/(-60*(-45)\/40500)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/60 + l**4\/12 + l**3\/2 - 2*l**2 + 32. Let b(f) = 3*f**2 + 5*f + 7. Calculate 4*b(j) - 10*z(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let k = 3.44 - 3.24. Let f = -1014 - -1014.4. Which is the biggest value? (a) o (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 451998, -44, -1 in increasing order.\nAnswer: -44, -1, 451998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/2)\/(-1)*(-63)\/3717. Which is the biggest value? (a) -5 (b) -2 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 greater than or equal to 673\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sevenths of a week?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 599, 1520, 2773, 4358, 6275, 8524, 11105?\n\"Answer: 166*r**2 + 423*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:00 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4678*d**2 - 12151*d - 3306 + 6068*d + 6083*d with respect to d.\nAnswer: 9356*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1927723 is divided by 642573.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**4 + 2*v**3 - v**3 + 10 - v**3 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 + 6. Let f(g) = -14*g**3 + 17. Let v = -236 - -254. Suppose -14*h + v = -17*h. Calculate h*f(r) + 17*c(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 42*n + 172*n + 2556 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1262*d + 1229*d - 30640 - 66320 = -3569*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**10))\/(g\/(g*g**14)*g))\/(g**(-13\/5)\/(g**(2\/7)*g)) assuming g is positive.\nAnswer: g**(976\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 12:45 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 981239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8*4*(56\/(-4))\/2\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/75 and 103\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r - 443*r + 8*r**3 + 115*r + 159*r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*o - o + 20003, -d - 10004 = -4*o. What is d rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117429049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*z, 11*l + 7*z = 6*l - 41 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - 77\/14. Let r = -2015 + 14076\/7. What is the common denominator of 482\/60 - 4\/y and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3732809275 to the nearest integer?\nAnswer: 61097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3872 = -20*y + 18372. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j**4 - 3 + 41*j - 42*j + 2*j**3 + 1 to a*j**2 + f*j**4 + x*j + n*j**3 + s and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/56 of a week in hours?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imvivviviggwmg. What is prob of sequence mi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((5\/(-3))\/((-15)\/18)). Suppose -12 = -r*z - z - 4*j, 2*j + 84 = 4*z. What is the highest common divisor of z and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 > 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026137 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 340*q + 5. Let n(v) = -170*v - 2. Let t(s) = -2*a(s) - 5*n(s). Let d be t(-4). Round d to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 7*u**2 - 5*u + 9. Let y be d(-8). Let z = y + 18. Let a be 103\/6 - z\/18. Solve -3 = -4*i + a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 11*d - 17. Let b be o(-13). What is the greatest common divisor of 117 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7514111 and 451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 5*a - 12. List the prime factors of w(-10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 856.72 + -856.28033. Let g = d - 0.44. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10678 (b) 3 (c) 0.05 (d) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 0 + (2 - -12). Suppose -r*u - 39 = -11*u. Suppose 2*l + 57 = 4*l + 3*c, -3*c - u = -2*l. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 40918*x**2 + 81829*x + 122748.\nAnswer: (x - 40916)*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggppgggpngnpkg. What is prob of picking 1 p and 3 g?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10235101 is divided by 87.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010431 to 6 decimal places.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**2\/2 - 65*r. Let j(w) = 3*w**2 - 2. What is 4*g(k) + 2*j(k)?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49196479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 101. Suppose 2*c - 35 = -4*q + 61, 0 = 5*c + o. Suppose q*p = 30*p - 712. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((-2*-2*sqrt(66) - sqrt(66)) + sqrt(66))*-5)\/((-1*sqrt(576) + sqrt(36))\/sqrt(6)))**2 + -3)*-2.\nAnswer: -8746\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:09 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 320 = 1810. Let q = -123 + l. What is the highest common divisor of 78 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyd when four letters picked without replacement from wyyydydydzzl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*v + 4*v**2 - 9*v**2 + 4*v**2 + 200*v + 269*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, o: 2, p: 7}. Give prob of picking 1 g and 2 o.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4016, 4014, 4012, 4010, 4008?\nAnswer: 4006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/3 + 7*w**4\/3 + 680*w**3 - 12024*w**2 + 70992*w - 140400 = 0 for w.\nAnswer: -50, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 + -80. What is the third derivative of -14*f**6 - 12*f**6 + 424*f**2 - l*f**2 wrt f?\nAnswer: -3120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(-5 - -7). Solve -3 = -3*v + h*d, -v + d = -6*v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Let j = 9485\/3 + -3134. Let w = 424\/15 - j. Sort w, 1\/4, p in increasing order.\nAnswer: 1\/4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. Let g(p) = -2*p - 3. Let o be g(i). Solve 4*h - 9 = j, -j + o = -2*h - 2*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21259.3 - -21256.30033. Let f = 3.06 + -0.06. Let r = m + f. What is r rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*p - 42 = 0, -n + 3*n = 5*p + 39. Find the third derivative of 17*f**4 + n*f**2 + 3*f + 20*f**4 - 3*f wrt f.\nAnswer: 888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/4 - 265*r**4\/4 + 1893*r**3\/4 - 2987*r**2\/4 + 340*r = 0.\nAnswer: -272, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 5*x**3\/2 - 209*x - 1. Let g(q) = 8*q - 148 + 148. What is g(n(a))?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78989*h + 25730 with respect to h.\nAnswer: -78989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17659 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 - 1. Let m be t(0). What are the prime factors of 53190\/60 - m\/(-2)?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/12*1\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35589 (b) 83 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12587 or -12579?\nAnswer: -12587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 226108*t**2 - 5*t - 3. Let i(m) = -226107*m**2 + 4*m + 3. Let k(g) = -5*c(g) - 6*i(g). Let v be k(1). Round v to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 342450248?\nAnswer: -342450250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296442653 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -51300?\nAnswer: 51287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p**2. Let a(g) = g**2 + 44*g. Calculate a(r(o)).\nAnswer: 196*o**4 - 616*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {q: 2, v: 1, r: 1, l: 4, u: 4, i: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 80 = 0. Let l be 12 + -2 + (-5)\/(5\/2). Calculate the greatest common divisor of y and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 33. Suppose 4*m - 2*m - z = 0. Suppose 5*o + 175 - 11 = 3*r, 20 = -5*o. Calculate the highest common divisor of r and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 9*y**2 - 14*y - 12. Suppose -3*t + 5*t - v + 24 = 0, -3*t - v - 26 = 0. Let n be k(t). Solve -2*o - n = 2*o - 5*b, -4*b + 20 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346 divided by 18\nAnswer: 173\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21001303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -8169664.\nAnswer: -3\/8169664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016643 rounded to 6 dps?\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)*(-3)\/(-3). Let a(p) = p**3 + 2*p**2 + 2*p + 2. Let z be a(n). Suppose m = -2*m + 12. Sort z, -5, m in ascending order.\nAnswer: -5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8353*p = -8366*p - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1853 + -3705\/2. Let r = 1748\/39 + -134\/3. Sort 0.08, r, k in decreasing order.\nAnswer: k, r, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 3 - 3 + (a + a + 0*a)*(4 + 1 - 3) + (-2 - 3 + 2)*(-45*a + 1 - 1) + 4 - 4 - 2*a.\nAnswer: 139*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 56648.91 decades?\nAnswer: 6797869.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8122 and 0.0051?\nAnswer: -41.4222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*h + 358 - 3 = -500 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 41. Let o = u - 65. Let h = o + 43. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5143 divided by -2.\nAnswer: 5143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4 + 274*h - 134*h - 145*h. Let a(l) = -3*l - 2. Determine -11*a(i) + 6*q(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64446650 (base 7) to base 13.\nAnswer: -11a3473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68*2\/1920 - 4\/(-30)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11528 - -11612. Solve -s*i + 154 = -106*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - (-412)\/16. Let u(m) = -m**3 - 7*m**2 + m + 7. Let t be u(-7). Suppose x - 2*x + 130 = t. Calculate the highest common divisor of x and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.013 + 8.187. Let h = 8.267 - r. What is h rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcccccccpcccpp. Give prob of sequence cp.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 10711?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -21 + -10 + 36 + -41\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 1, t: 9}. What is prob of sequence ztcz?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 17*f**2 - 29*f - 9. Let u(o) = -4*o**2 + 7*o + 2. Determine 9*u(n) + 2*x(n).\nAnswer: -2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 5*c. Let x(s) = s. Let j be x(c). Solve 0 = -u - j + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from hefeeqnlleqen?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2826*n - 16405. Give v(-6).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109266448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-seven halves of a litre in millilitres?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2 + -23*4\/20\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614449.6 years in months?\nAnswer: 7373395.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*d + 23328 - 103128. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15352 and -1912.\nAnswer: 13440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -676 - -2894. Suppose c - 4*c + 4*q + 2221 = 0, 0 = 3*c - q - y. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/120 + 5*n**3\/6 - 14*n. Let o(t) be the second derivative of l(t). Let q(w) = -5*w. Give q(o(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooeooooeooeoeooe.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 3 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 97 = 5*u, -4*m = u - 13 - 2. Let p = 148 - u. What are the prime factors of p?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 + 4*b**3 - 8*b**3 - 12*b**3 - 11*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634967429 is divided by 8152.\nAnswer: 8149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5773*r**5 + 2*r + 3407.\nAnswer: -115460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 10:53 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 24*g**2 + 12*g + 37. Let o be x(24). Let z = o - 104. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -64\/3, -1, 4 in increasing order.\nAnswer: -64\/3, -1, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a + 13. Determine j(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 - 179. What is the third derivative of d - 2 - 16 - 7*k**6 - 2*k**2 wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 4. Let o(f) = f**2 - 2*f - 7. Let k(l) = 7*l + 3. Let g be k(0). Determine g*o(b) + 5*c(b).\nAnswer: 3*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:13 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.0611, 0.4, 2, 237 in decreasing order.\nAnswer: 237, 2, 0.4, 0.0611, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:09 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -1 + 0 + sqrt(425) + 3 + (-1 + sqrt(425) + -2)*-1)**2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -8*x + 26, -5*c = 5*x + 12 + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-3) - -2) + -3. Which is the nearest to -1? (a) 0.5 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 11*w**3\/6 + w**2 + 2*w - 8. Let n(p) = -3*p**2. Determine n(y(g)).\nAnswer: -363*g**2 - 132*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 30) + (58 - 101)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - 49 = -2*c, 0 = 4*x + 12. Let z be 3\/9*(-1 - -16). Let q(i) = -i + 8. Let p be q(5). Solve z*u = 5*g + c, g + 2*g = p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 941?\nAnswer: -20\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((810\/20)\/(-27)*12\/21)\/(2\/112)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 13*d**2 - 13*d + 14. Let z be (-12)\/66 + 268\/22. Let j be v(z). Let b(h) = -5*h - 2*h - 4*h**j + 7*h. Let c(n) = 3*n. Calculate b(c(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - u + 450 = 0, 3*g - 3*u - 684 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 8*j - 2. Let y be f(7). Suppose y*w - 38 = 2. Suppose 3*c = w*c - 15. Solve 0 = 4*s - c*b - 15, -4*b = -3*s - 2*b + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25843229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i**2 + i + 0*i**2)*(-2 + 4 - 1 + 1 + 1 - 3 + (6 - 2 - 2)*(2 + 6 - 2))*(-2 + 1 + 2).\nAnswer: 12*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 82, 111, 140, 169, 198?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.14. Let z = u - 0.3. What is the biggest value in z, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0036 * -4.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-4))\/(5\/6). Let s(r) be the second derivative of -f*r**2 - 2*r + 1\/4*r**4 + 0*r**3 + 0. Find o, given that s(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 5, i: 1, c: 1}. What is prob of picking 1 p, 1 g, and 1 i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 - 182. List the prime factors of h.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, -2, 5 in increasing order.\nAnswer: -253, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -14 + 5 + (-2 - 7) - 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-228*a + 241*a + 463*a)*(-3 - 4 + 5)*(-2 + 2 + 1) to the form s*a + p and give s.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439.641 + -0.641. Let w = 441 - k. Is w <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 8. Let v be z(-3). Let d = 0.2 + -0.3. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b - 48 = -172*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/33600 + m**7\/1680 - m**6\/300 + m**5\/15 - 19*m**2. Let i(j) be the third derivative of q(j). Factor i(r).\nAnswer: -3*(r - 4)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 4 = -22*v. What is the least common multiple of v and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 7*h = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(19) + -3 + 3 + sqrt(152)\/(sqrt(8)*-1) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 4*s**2 - 15*s + 11. What is the remainder when r(7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/35*95\/38?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/18 - (5 + (-25300)\/(-24)). Is (p\/2)\/((-4)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1794 = -31*o + 29*o. Suppose -2*r + 901 = -k + 6*k, k = -2*r + o. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 57 = -g. Suppose -8*b = -g + 42. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -3\/4*u**4 + 1 + 0*u**2 + 0*u - 1\/3*u**3. Suppose -f + 0*f - 1 = 0. Give n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 12*k**2 - 13*k + 9. Suppose -8 = 2*n - 34. List the prime factors of f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53636, 53718, 53860, 54068, 54348, 54706?\n\"Answer: k**3 + 24*k**2 + 3*k + 53608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9*v = -504. Suppose 2*t + p = -t + 59, -4*t + 4*p = -v. What is the smallest common multiple of t and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + 744\/32. Calculate the highest common factor of q and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -61. Find the second derivative of -12*f - 19*f + 88*f**2 - s*f**2 wrt f.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17878 and 3.\nAnswer: 53634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 53*b + 170. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (5 + 497)*3\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 32*x + 194474 = -9*x. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - 8*y + 21. Give j(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - b - 1 = 2*l, 5*b = -20. Find the third derivative of 0*a**l - 31*a**2 - 2*a**3 + 3*a**3 + 33*a**2 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 10. Let o be t(-13). Suppose -s - 48 = -5*r - 121, r + o = 0. What is the lowest common multiple of 8 and s?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 7 - 2*d**2 - 3.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/170586 and 145\/5382.\nAnswer: 3923478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3388757959 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 5:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -94?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1074, -4348, -9802, -17436, -27250, -39244, -53418?\n\"Answer: -1090*r**2 - 4*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 674812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 0 + (-2 + 0 + 1)*(1 - 1 + 2))*(-4 + 0*u + 7*u - 6*u)*(74*u + 53*u - 355*u) to the form a*u + f*u**2 + s and give a.\nAnswer: 2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.8 + -5.6. Suppose 8*x = 3*x + 10. Which is the nearest to n? (a) x (b) 2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.1 and -0.5.\nAnswer: 4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7416001 or -140904015\/19?\nAnswer: -7416001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 0.081421724712524?\nAnswer: 0.181421724712524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 2*g - 5 + 2*g + 4. Let b(v) be the first derivative of -v**3 + v - 47. Determine -5*b(d) - 8*r(d).\nAnswer: -d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.1. Let t = 3 - 2. What is the closest to t in 0.3, -4, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*z - 48. Find the second derivative of 8 - z*r**2 - 18 + 7 + 3*r + 5 wrt r.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -13*i**6\/720 + 7*i**4\/24 - 4*i**2. Let r(g) be the second derivative of w(g). List the prime factors of r(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 864 - -495. Let w be (-1 - s\/6)*56\/16. Let u = w - -790. Calculate the common denominator of 3\/7 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -20*p - 8 + 3*p**3 - 66*p**2 - 51*p**2 + 92*p**2. Let u(y) = -y**3 + 12*y**2 + 10*y + 4. Let n(m) = 5*u(m) + 2*x(m). Determine n(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-2)\/2) - 0. Let b = a - 2. Does 4 divide b\/8 + 21\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 20*y + 8*y + 6 + 3*y. What is the units digit of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10*(-3)\/2. Let m be ((2 - (2 - 2)) + -3)\/(-4). Let j be (-1)\/3 - (132\/(-9))\/(-4). What is the closest to i in j, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-4 + (sqrt(1539) - (sqrt(1539) + -3 - sqrt(1539))) - sqrt(1539))*1)**2 - (2 + sqrt(1539) + -1 - (2*sqrt(1539) + 4))**2).\nAnswer: -1548 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 12) + -10*1. Let w = -17 - k. What is the smallest value in w, 4, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 25 + -3 + 15\/(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from byyocrbyoyb.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1055785140 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*t + 10 = 0, -5*t + 0 = -5*i + 10. Suppose 0*b - 4*b + 2936 = i. Is 12\/54 + b\/18 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:00 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from {o: 7, u: 4, f: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211832\/2793 + -1440\/19. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133348\/(-39220) - (-234)\/10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 263, 251, 237, 221?\n\"Answer: -w**2 - 9*w + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -4, 1, 18, 53, 112?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-10*(2176\/(-170))\/8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b + 20. Suppose -b = 4*w - 3*w. Let a(x) = 2*x**2 + 6*x - 13. Let n(d) = d**2 + 3*d - 6. Let t(i) = 4*a(i) - 9*n(i). Calculate t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 7*o + 4. Suppose -6*l = -3*l - 5*l. Let k be (-2)\/(-3) + 2\/6. Suppose l = 4*m + 5*c - 21 + k, -5*c - 5 = -m. Give j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 11*q + q**2 - q**2. Let d(p) = -7*p + 3. Let y(v) = -9*v + 4. Let i = 362 - 365. Let m(t) = i*y(t) + 4*d(t). Give -44*m(w) + 4*z(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 20313?\nAnswer: 20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or 0.11?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4*p)**(23\/4))**(1\/24) assuming p is positive.\nAnswer: p**(115\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1090*q - 211*q + 90*q - 226*q to the form f + o*q and give o.\nAnswer: -1437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuaaaaaauauaa. Give prob of sequence uuu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - -2.5. Let t = -4.3 + j. Suppose 41*v - 40*v = 27*v + 78. Which is the biggest value? (a) -4 (b) v (c) t (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 10. Let p be q(-11). Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z + 2. Calculate the least common multiple of (2 - -3) + (40\/70*14 - 11) and y(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.244 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*w - 5*w = 0, -w = -5*v. What is the tens digit of (-2 - v)*1 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3249\/(-10))\/(-57) - 12\/2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + -42. Let j = b - -74. Suppose 0 = -5*m - 20, j*m - 214 = -4*f + 30. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2717 = 5*q - 6*c + 3*c, 4*q = 3*c + 2176. Which is bigger: 538 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3266 - -6813\/2. Let p = 141 - y. Which is the second smallest value? (a) 6\/11 (b) 8 (c) p (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = 28*j + 224 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 318 - 269. Suppose -z + 0 + w = 0. What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62139, -124168, -186197, -248226, -310255?\n\"Answer: -62029*y - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 54 - 30. Solve -4*b = 4*x - f, -b - 2 = 5*x + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2255 = 2275. Let q(r) = r**3 - 5*r**2 + 64*r - 1. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5 + 22173098*p**4 + 177384704*p**3 + 532154032*p**2 + 709538656*p + 354769312 = 0.\nAnswer: -11086541, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4623 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 3899 = -1165. Suppose 2*a - 273 = x. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -2 (c) -19\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 201 + 168 + 19)*(-10*t + 15*t + 0*t).\nAnswer: 2310*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 + 118 = 23*x. Suppose 7 + 3 = -2*a. Sort 2, x, a, 8 in decreasing order.\nAnswer: 8, 2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 10. Let b be x(-7). Suppose -j + 218 = 2*s + 2*s, 0 = b*s + 5*j - 172. Let a = -38 + s. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2014 + -1534. What is the remainder when d is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 914212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/12 - 4*w**3\/3 - 2*w**2 - 9*w. Let q be z(-6). Calculate the highest common divisor of 48 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4224*i**3 - 120*i**2 + 40*i + 40. Let b(y) = 325*y**3 - 9*y**2 + 3*y + 3. Calculate -40*b(j) + 3*k(j).\nAnswer: -328*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*v - 153*v - 25 = -3*d, -6*d - 4*v = -22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1095, -2944, -4807, -6684, -8575, -10480?\nAnswer: -12399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 356436727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -2*b - 18, 2*x - 9 = b. Suppose -x*p + 3*p - 1 = 0. What is the closest to p in -4, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 102*t - 316 + 63*t + 154.\nAnswer: -3*(t - 54)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*b + 608 = -4*r, 1562 - 1593 = -2*r + 3*b + 2*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 less than 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6202 plus -0.17?\nAnswer: 6201.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 15*q - 10. Let s be i(14). Let h = 79 + s. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -42*g + 45*g - 11, 0 = -3*a + 2*g. Let y be (0 - a)*1 - (-100 + 89). Solve y = -2*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 2*f**2 + 42*f + 141. Give r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 17, -86, -361, -880, -1715, -2938?\nAnswer: -4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 = g, -3*g - 9 - 3 = 0. Suppose 13 = o*r + 4*h, -3*r + 2 = 2*h - 7. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 35*x**2. Let i(c) = -2*c**2 + 3*c + 3. Let q(r) = -r**2 + r + 1. Let b(z) = i(z) - 3*q(z). Give g(b(v)).\nAnswer: 35*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1335*t**5 - 879*t**3 + 13719820*t.\nAnswer: 26700*t**3 - 5274*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 577408 and 505232?\nAnswer: 4041856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 808 = -4012. Let v(l) = 27*l**2 + 6*l + 19. Let j be v(-5). Let s = i - j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*g - 23 = 0, 0*a - 4*g = -a + 11. Solve -3*v - a = -y - 2, -3*v = 5*y + 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, 1, -0.03 in descending order.\nAnswer: 1, 0.5, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 23602*n - 23597*n + 34, 3*b + 5*n = -62 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + j**3)*(2*j**2 - 3*j**2 + 0*j**2) - 49*j**5 + 119*j**5 + 45*j**5 + 2*j.\nAnswer: 114*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 200 + 49 + 41*c + 42.\nAnswer: 41*c + 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 6. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -9.796.\nAnswer: 284.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. Let r(t) = t**3 + 3*t**2 + t + 3. Let k be r(j). Suppose k = 6*i - i - 20. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from dddzfdddffdufuufuuu.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + 2. Let z = -21 + c. What is the greatest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10541, -10526, -10511?\n\"Answer: 15*f - 10556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21 or -30051?\nAnswer: -30051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 1 + 1 = 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 3 (c) -1 (d) 1\/4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.045 + -2.345. Let a = 2 + w. Put -0.1, a, 1\/2 in decreasing order.\nAnswer: 1\/2, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l*l\/l**(-3\/11))\/((l**11\/l)\/l**1) assuming l is positive.\nAnswer: l**(-118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(72) + (-2*sqrt(72)*6 - sqrt(72))))**2 + 3.\nAnswer: 10371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 1\/2, 1783?\nAnswer: 1783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 179512\/(-3). Let n = 1133176015 - 79318132461\/70. Let m = n - i. What is the common denominator of 123\/10 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100 - 11010000010111011000?\nAnswer: -11010000010011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 185 - 536. Let n = z - -216. Suppose 5*b - 836 = -3*c + n, -b + 5*c + 187 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g**2. Let d(s) = 30*s - 4. Calculate d(x(u)).\nAnswer: -270*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7056576 is divided by 1947?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g + 563. Let k(u) = -u**2 + 12*u. Let m be k(0). What is the units digit of v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 610*r. Let v(c) = c**2. Calculate s(v(h)).\nAnswer: 610*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k - 139 = 59. Put 11, -14, k in descending order.\nAnswer: 11, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171\/14 - -25\/2. Let q = -2 - 0. What is the third biggest value in q, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 7 - 4 - 27913*j + 27932*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -24, 3, -2, 13 in decreasing order.\nAnswer: 13, 3, 2, -2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15694559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9032 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: Suppose -3*x - r = -62, -4*x - 4*r + 39 = -3*x. Suppose 12 = -4*w - 5*v + v, 0 = -2*w + 3*v + x. Solve z - 3*z = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v + 4*l - 10, -v - l + 7 = 0. Suppose -w - v*w + 45 = 0. Let s = 18 - w. Calculate the greatest common divisor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(320\/(-45) + 7). Solve -2*c + y = -5*b + 19, 4*c + 15 = -b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 8*q + 4. Suppose 12 = -7*c + 4*c. Let l be r(c). Suppose -3*v - 2*a = -254990, l*a = -2*v - v + 254980. Round v to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.38 + -0.28. Let n = -3 + g. Let k = n - 1. Sort 4, k, 2\/9 in decreasing order.\nAnswer: 4, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -98*((-94)\/14 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - ((-4)\/34 + (-420)\/476). Let n be ((-12)\/(-80))\/(30\/32). Put j, 0.3, n in decreasing order.\nAnswer: 0.3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 60. Let g be 20 - (4\/o + 3). Suppose 6*m - 5*m = 3. What is the highest common factor of g and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1294 - 4572\nAnswer: -5866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.9737 + -65. Let n = y - -0.5263. What is the fourth smallest value in 3, 0.19, n, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(6708\/78)\/1032*(-270)\/(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5881597308 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**3*y + 2188535*t**3 - 2*t**2*y + 5*t**2 - 16344*t*y + 4*t wrt t?\nAnswer: 24*y + 13131210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320674531.982 less than 446?\nAnswer: -320674085.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3408\/355)\/((-21)\/70).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121250, -121265, -121306, -121385, -121514, -121705?\n\"Answer: -2*t**3 - t**2 + 2*t - 121249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) - (-5 + sqrt(1053))) + 1 + -3)**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/77*(-175)\/15*5*93\/310.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Suppose r - g*r = -57. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936959 a multiple of 863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 208.60555 and 0.0873846.\nAnswer: 208.6929346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25789*0.1.\nAnswer: 2578.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9822238 - 8?\nAnswer: 9822230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (2 + -8 - 13). Solve 27 = 2*m - 5*n, -m + 4*n + k = n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9188 + 9178.702. What is n rounded to 1 dp?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b - 11. Let h be y(3). Suppose 6*u = 2*u + h. Let m be 108\/16 + 1\/u. Solve 5*k + 25 = 3*p, -5*k = 2*p - m*p + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 5.8. Let n = x - 2. Let o = n + -3.8. What is the second biggest value in -0.3, o, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 152*i**2 - 47*i + 20. Is m(-12) a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38830, 77640, 116450?\n\"Answer: 38810*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szsssssszssss. What is prob of sequence ssz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 717.60953 to 1 decimal place.\nAnswer: 717.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 1310684009988.1.\nAnswer: 1310684009992.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -18*u**2 + 58. Let q(h) = 6*h**2 - 21. Let f(d) = -11*q(d) - 4*r(d). Let k(s) = -2 + 1 + 5*s**2 + 0*s**2. Determine -3*f(m) + 4*k(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -0.4, -2, -0.2, 3.\nAnswer: -2, -0.4, -0.2, 3\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, -7, 2.8 in descending order.\nAnswer: 3, 2.8, 1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1\/2, 5, -0.2, 1.6, -7, 606?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 627281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*d + 128644 = -1326*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 181 = 531. Solve 5*k = f + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-6)*510\/61710?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 11 - 2*v**3 + 9*v**4 - 5*v**4 - 35 to the form x*v + h*v**4 + g*v**3 + j*v**2 + i and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 55*s**2 + 44*s + 510. Let r be u(54). What is the fourth smallest value in -21, -2, r, -1\/2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9.5. Let i = d - 4.392. Round i to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594 (base 12) to base 6.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15084 + -15087. Which is the closest to 0.3? (a) y (b) 6\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 41. Suppose u = -3*u + o. Calculate the remainder when 15 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*a - 7 - 12, 0 = -5*l - 5*a - 30. Let g(s) = s**3 + 7*s**2 - 3*s - 5. Is g(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 9:45 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342010 - 203992. Let f = -138011.99985 + n. Let v = f + -6. What is v rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 3*n - 3, -4*n + 20 = 0. Suppose -6 = -3*y, t*b = 3*b + 2*y + 3449. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 4*h - 8*h, 0 = -2*h - 2*g. Let j(n) = 3*n + 8. Let k(i) be the second derivative of i**2\/2 + i. Let m(b) = h*k(b) - j(b). Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. What is the units digit of -12*w*(-3)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111000101111 (base 2) to base 12.\nAnswer: -28abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, -8, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150719, -150757, -150821, -150911?\n\"Answer: -13*t**2 + t - 150707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/144*(8\/6)\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 16*j + 37. Let p be i(-18). Suppose -7*w - p = -15. Solve w*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.66118 rounded to 1 dp?\nAnswer: 150.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = x + 3. Let m be (3*(4 - 3))\/(18\/(-312)). Let t be (13\/m)\/(x\/8). Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9954458 + 4*m**2 - 9954458.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i - 3. Let r be (i + 0)\/(4\/(-32)). Suppose -r - 12 = -4*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000283253 rounded to 5 decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {w: 3, d: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302235 is divided by 22794.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1542*g + 1596*g = -715 + 13 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*c + 75 = 0, 5*f - 1294 = 3*c - 1217. Calculate the remainder when ((-8)\/(-10))\/(2\/115) is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 3, a: 1}. Give prob of picking 3 r and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/2261 and -116\/851865?\nAnswer: 14481705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020255 is divided by 203992?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 19*a**2 + a - 8. Let y be (21 + (-234)\/39)*3\/10*-2. Calculate s(y).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -274, 167, 1294, 3335, 6518, 11071, 17222?\nAnswer: 25199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 26 = 46*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 828, 829, 832, 837, 844, 853, 864?\n\"Answer: w**2 - 2*w + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -0.2, 15, 12\/7, -0.3 in decreasing order.\nAnswer: 15, 12\/7, -0.07, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + -1 + sqrt(539))*-3*3 + -2).\nAnswer: -126*sqrt(11) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 11*q**3 + 1704*q - 1704*q.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 - 275*q**3 - 819*q**2 - 817*q - 272 = 0. What is q?\nAnswer: -272, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 1. Let i(v) be the first derivative of v**4\/2 - 3*v**2\/2 + 2*v - 137. Determine -i(b) - 2*r(b).\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068673858 to 4 decimal places.\nAnswer: -0.0687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -4 (b) -33 (c) 0.1 (d) 22\/271\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(-3*sqrt(1900))**2*6.\nAnswer: -205204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6342\/84*(-1)\/(-18)*-1. Let t = 40\/9 + l. Factor 0*n - 1\/4*n**2 + t.\nAnswer: -(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 132 - 148 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/120 and (6\/28)\/((-2160)\/(-2394)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**5\/11 + 142*s**4\/11 + 398*s**3\/11 - 686*s**2\/11 - 400*s\/11 + 544\/11 = 0.\nAnswer: -68, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 2. Let t(v) = 4*v - 2. Let b(i) = 2*t(i) + 2*x(i). Let n(l) = 11*l. What is n(b(w))?\nAnswer: 110*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/3859? (a) -5 (b) 1 (c) 5 (d) -2 (e) 19 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 15, -5, -3\/4 in ascending order.\nAnswer: -19, -5, -3\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n - 4. Let o be r(-3). Let k = o + -4. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -542.78 less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 517 - 248. Let q = d - 224. Calculate the highest common divisor of q and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -282 + 9*w - 6*w - 5*w to the form t*w + s and give s.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 1616 = 9*x + 14531. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 - y - 65 - 56 - 63 - 6*y**2 + 21*y**3 + 182 as z*y**2 + u*y**3 + x*y + v and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364835699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -9\/14, -6\/7, 8\/3, 6?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 + 5455?\nAnswer: 5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/69212 and 17\/5?\nAnswer: 346060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7839037 * 9.\nAnswer: -70551333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -873*n - 50*n**2 + 52*n**2 - 81*n + 161*n. Let y(w) = -3*w. Determine y(k(g)).\nAnswer: -6*g**2 + 2379*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -57. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-7) + (-4)\/(-14). Let k(y) = -y**3 - 8*y**2 + 9*y + 3. Let r be k(-9). What is the second biggest value in r, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2\/2 - 21*l - 3. Let r be s(15). Let c(i) = -2*i + 1. Give c(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -1, -0.09, -2, -1\/2, -7 in increasing order.\nAnswer: -163, -7, -2, -1, -1\/2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.45198 + 640.92298. Let c = -637 + y. Round c to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 19*l**2 + 14*l - 26. Suppose 0 = -22*p + 513 - 95. Let x be a(p). What is the highest common factor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(187)*1 - sqrt(187)) - sqrt(187) - sqrt(187))*3)\/((-2*sqrt(22))\/sqrt(2) - (2*sqrt(132))\/sqrt(12)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*o + 3844550 - 3840867 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10515 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51599?\nAnswer: 51599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b*t**4 - 76*b*t**3 - 508*b*t + b + 4*t**3 + t**2 wrt t?\nAnswer: -96*b*t - 456*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -637727.\nAnswer: 637727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 208*b - 424.\nAnswer: 2*(b - 2)*(b + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 2370 - 2431 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-50)\/(-12))\/((-10)\/((-900)\/15))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -98.2.\nAnswer: 97.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 254*v**2 + 10*v - 36. Let q be i(-7). What is q rounded to the nearest one hundred?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -31. Suppose q + 170 = m*w, -2*q - 2*q + 316 = 4*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmsmsssesqsrslsrrls. Give prob of picking 2 m.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 5\/40*4. Let l(z) be the first derivative of r*z**2 + 2 - 1\/3*z**3 + 1\/5*z**5 + 0*z - 1\/4*z**4. Determine m, given that l(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1 + 2 + 1028*q - 1026*q. Suppose -23 = v + 7. Let n be (-1)\/(2\/v*-3). What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 862 (b) 5 (c) 2 (d) -0.7 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 + 10*f + 22. Let x be b(-4). Do 63 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.08428\nAnswer: -0.92708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 104.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 13. Let k be u(17). Solve -j - k = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:21 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + -2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*n. Suppose 13 - n = 3*i. Let o(a) = -6*a**2 + 2. Let w = -2 + 7. Let l(h) = 7*h**2 - 2. Calculate i*l(p) + w*o(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*d - 8477, -d + 1702 = -0*d + 3*o. Calculate the remainder when d is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:34 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1022, 602, -100, -1084?\n\"Answer: -141*x**2 + 3*x + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-23 + 23 + 20*a)*((-2 + 2 - 2)*(4*a - 2*a + 0*a) + 0*a + 0*a - 2*a) in the form v + k*a + d*a**2 and give d.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 714\/105 + 18\/(-10) + 2. Suppose s + t = 2*m + m, 2*s - 16 = -4*m. Calculate the lowest common multiple of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -25*k**2 - 32*k - 7. Let h(f) = -2 - 11*f - 30*f**2 + 8*f**2 + 13*f**2. Let c(d) = -11*h(d) + 4*z(d). Let o = -8 + 2. Calculate c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -100. Suppose -n + r = n - 3*q, -5*n - 3*q = -50. Calculate the least common multiple of (-2)\/(-4) - (-70)\/4 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.121 and 2?\nAnswer: 0.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 13) to base 6.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374593781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 5) to base 6.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 265. Let d = r + 126. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2\/7 + 24796*o\/7 - 296976\/7 = 0. What is o?\nAnswer: 12, 6187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -14*y. Let r(w) = -5*w + 3. Let i(d) = -26*d + 16. Let o(l) = 3*i(l) - 16*r(l). Give o(q(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 15*z - 40. Calculate p(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 156703*z**3 + 156613*z**3 + 3.\nAnswer: -90*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8404 + 75862\/9. Let u = 389\/9 + t. Let v = -70 + u. Put 0, v, -1\/6 in decreasing order.\nAnswer: 0, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:56 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10) - 45\/(-300)) + 45\/(-30) + -4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31801.6 millilitres in litres?\nAnswer: 31.8016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 686877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 69*k**2 + 2044*k - 204. Calculate v(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 5*b = 4*b - 1500. What is the remainder when 3624 is divided by b?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -11, -3, 4, -92 in decreasing order.\nAnswer: 4, 2, -2, -3, -11, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/13 or 118351\/21?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 189\/(-49) - -5*6\/(-210). What is the smallest value in -1, 1\/3, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22\/5, 0.3, -1666, -0.141?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6507, 13016, 19525?\nAnswer: 26034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/(4\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2448) + sqrt(17) + 4 + (2*sqrt(153) - sqrt(153) - 4*sqrt(17)*-2))**2.\nAnswer: 384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 1. Suppose 22 + 8 = -5*k - 5*q, w*q + 20 = 0. Let p(z) = z + 1. Let v be p(-3). Which is greater: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 2*h + 2. Let q be s(-3). Suppose -3*f + f - 4 = 0. Let y be (-9)\/(-30) + q\/f. Which is the third biggest value? (a) -5 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231 + 211000223?\nAnswer: 211003120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -28*n**2. Let o = -3 - -3. Let r(g) = o*g - 2 + g + 2. Determine r(u(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-20)\/6)*6090\/(-1365)*-13\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**2 - 2*v**2 - 6*v**2 + 3*v**2 + 6*v**3 wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - -11)*(-162)\/(-10). Let t = 296 - s. What is the remainder when t is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16219*j - 5407*j - 5404*j - 5411*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -1\/6*c**4 + 1\/3*c**3 - 26*c + 0 + 4*c**2. Let p(h) be the first derivative of o(h). Determine p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370237 divided by -4.\nAnswer: -370237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19229, -19247, -19277, -19319, -19373, -19439, -19517?\nAnswer: -19607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 17*a + 23*a = 42 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87880000 rounded to the nearest 1000000?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - h**2 - h - 1. Let y be k(-1). Let m be 21\/4 + (y - -1). Factor -1\/2*a + 7\/4*a**2 - m*a**3 + 5\/4*a**4 - 1\/4*a**5 + 0.\nAnswer: -a*(a - 2)*(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 33*g**2 + 9*g - 9. Let a(c) = 8*c**2 - 2*c + 2. Determine -9*a(v) - 2*r(v).\nAnswer: -2*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4976224 microseconds in milliseconds?\nAnswer: 0.0004976224","meta":{"dup_signals":{},"source":"measurement__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: Collect the terms in -144 - n + 5 - 5 + 144.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 477, 777, 1081, 1389?\n\"Answer: 2*m**2 + 294*m + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2042*x = 2049*x - 140. Let n be 0 + (-3)\/(6\/32). Let v = x + n. Calculate the least common multiple of 1 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -2\/9, -4, -0.4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-36) - 4\/(-6)) + 0. What is the nearest to m in -0.2, 5, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1044 - 1045. Let l(z) = 10*z**2 + 3*z - 1. Let y(x) = x**2 + x. Let v(f) = -3*f**2 - 3*f. Let q(w) = -2*v(w) - 7*y(w). Give h*l(g) - 5*q(g).\nAnswer: -5*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8421700 to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/5 + 1878*r - 819868\/5 = 0.\nAnswer: 89, 4606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37786 - -1?\nAnswer: 37787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 44622732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4092.275 years?\nAnswer: 40.92275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*i - 15*i - 14*i - 21924. Which is smaller: i or -404?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1250 and 1310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 + 5*j + 4. Let h be z(5). Solve k - h*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 51*a - 6. Let y be l(6). Suppose 0*s = 7*s + 2*s - 12195. Let h = y + s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.096 (b) -2\/9 (c) 2 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2208?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(70) - sqrt(70))*-4 + sqrt(70) - (-5*sqrt(70)*1 + sqrt(70)))\/((sqrt(90) + -1*sqrt(90) - sqrt(90)) + sqrt(90) + (-2*sqrt(110))\/sqrt(11))*6.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 77. Let n be ((-220)\/(-99))\/10 + (-14)\/(-18). Put 2, o, n in decreasing order.\nAnswer: 2, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4277 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1408.\nAnswer: 3\/1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 1 + 71 + (789 - 781).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jktub. What is prob of picking 1 j, 1 k, and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37725*d**3 + 236720?\nAnswer: -113175*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 7. Suppose -k = 3, 0 = d + 2*d + 5*k + 36. Let p(n) = -2*n**2 + 6. What is d*p(a) + 6*j(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 405 = -5*x, c - 2*c - 166 = -2*x. Suppose 0 = -0*q - 5*q - x. Let h = -11 - q. Let z(k) = k - 5. Determine z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 408*l**2 - 2*l + 1. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -574 and -25.\nAnswer: 14350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = 2*k. Put k, 0.1, -2 in ascending order.\nAnswer: -2, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235960380.\nAnswer: 2, 5, 61798019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:13 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 180*d. Let a(b) = 131427*b - 131427*b + 2*b**2. Give z(a(n)).\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*r + 74, -5*d - 3*r - 53 = 58. Let f be (-20 - d)\/(13\/(-2)). Do f and -1\/27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000273232 to six decimal places.\nAnswer: -0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -158 - 326. Suppose 0*x - 3*x = 0. Suppose -2*k - b - 458 = x. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -28*n + 3399. Determine p(120).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**3*s**6 + 2*k**3*s**2 - 130*s**6 + 90*s**2 wrt s.\nAnswer: -960*k**3*s**3 - 15600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/12)\/((-833535)\/119076 + 7). Suppose -20*a - 903 = -u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773394919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5934840319?\nAnswer: 79, 75124561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + -2 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*h + 38 = -12, -4*k = -4*h + 140. Let y = k + 35. Suppose -2*c = -4*c + 5*f + 11, -13 = y*c + f. Let w(q) = q**2 - 2*q. Give w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from kkklxrxkxkkxxkzxxkl?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let m(h) = -5*h**2 + 14*h + h**3 + 13 + 6 + 14*h**2. Let b(d) = j(d) - m(d). Is b(-9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i + 2*i - i + 4*i - i + 2*i + 3 + i - 3 + (-5 + 1 + 2)*(i + 0 + 0) to p + o*i and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2073024 and -27\/11840?\nAnswer: 383509440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*v - 6 = 0, 0 = 5*a + 4*v - 1 - 2. Suppose 0 = a*m + 3*w - 56 - 67, 0 = -2*m + 5*w + 103. Let p be 33\/m - (-21)\/68. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 times 4991?\nAnswer: 973245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose 0 = 2*d - u - 4. Let i be (8 - 9) + 35 - 1. Solve -i = d*z + 5*r, z = 6*z - 4*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(31497*f - 508*f**2 - 31497*f).\nAnswer: 1016*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 17. Let b = 14 + f. Solve b = -2*d + 2*w - 0*w + 14, -4*w = 2*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*z + 13815 = 163*z. What are the prime factors of z?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 95566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let c(y) = -4*y**2 - 3. Let z(h) = -c(h) + 6*m(h). Differentiate z(x) with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40583 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**(-1\/28) assuming w is positive.\nAnswer: w**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3431 is divided by 448.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 79. Let p be q(-18). Solve 2*n = -3*r - p, 2*r + 2*n - 5*n - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5922\/(-1974)*((-28)\/(-343))\/(3\/(-7)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*r + 4*r + 16*r)*(2*r**2 + 0*r**2 + 0*r**2) as z*r**2 + c*r + w + p*r**3 and give p.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/12 - 5\/(-2). Let o(d) = -d - d + 0*d - v*d. Let q(h) = -2*h**2. Give q(o(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -604*j**3*o + 2*j**2 + 36*j*o wrt j?\nAnswer: -3624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*j - 6, 0*d - 3*d + 4*j = -7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.184 (b) 0.4 (c) 0.1 (d) -150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102944 rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1146*r - 85884. Let h be u(75). Suppose -3*x + 4*n = -210, -4*x = -2*n - 363 + 93. Is x at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(1 + (6*(sqrt(297)*1 + sqrt(297) - sqrt(297)))\/(sqrt(11) + sqrt(704) + sqrt(704) + sqrt(704) + sqrt(704)*1 + sqrt(704) + sqrt(704))).\nAnswer: 36*sqrt(3)\/49 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1323 + -278. Suppose -13*b - o = -3190. What is the highest common factor of 22 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69174127877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 5*r - 30 = 4*o, -o = -5*r + 15. Solve -2*i = -8, o*a + i - 5*i + 31 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*15\/(-50)*-4*(-12)\/8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-13\/4))\/(q*q**(-1)))\/((q\/q**31)\/(q\/(q\/q**(5\/9))*q)))**(2\/5) assuming q is positive.\nAnswer: q**(211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -t + 3*k, 0 = -10*t + 6*t + 5*k + 91. Calculate the remainder when 117 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.6 - 7. Put v, 0.2, 1 in ascending order.\nAnswer: v, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 + 9.8. What is the third smallest value in 1.2, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 56, 1, -3, -2 in descending order.\nAnswer: 56, 1, -1, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (5 + -2 - 2). Let f(h) = 5*h - 2. Let l(u) be the first derivative of 7*u**2 - 5*u - 7. What is a*l(d) + 8*f(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1302, -5210, -11724, -20844, -32570, -46902, -63840?\nAnswer: -83384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f = 2216*f + 53751 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.15, -1137\/2258?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -18187\/89932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 15*v**2 - 8*v - 46. Is 43 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 488 + -485 + (-17)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 155. Suppose 4*b - 5*s = -69, s = -2*b + 5 - 22. Let z be o(b). Is z bigger than 166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, s: 9}. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 5*g - 2*g)*(2589*g + 931*g**2 + g**3 - 1305*g - 1283*g) in the form o + n*g**2 + z*g + u*g**4 + m*g**3 and give m.\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 5421.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (26664\/(-1313))\/132*((-52)\/(-6))\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0040285 - -4.2955915. What is x rounded to 2 dps?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.5107 - 0.4893. What is the second smallest value in -4\/7, -3\/2, t, 2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = r - 4, -r = 2 - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*f - 19*f + 140*f + 9*f + 242*f - 2 in the form m*f + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/110*8\/(3024\/(-35)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -5\/3*c**3 - 37*c**2 + 3\/40*c**5 + 0*c + 0 + 11\/6*c**4. Determine x, given that o(x) = 0.\nAnswer: -10, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {v: 4, d: 3, g: 2, w: 9}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 0.5, -0.5, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*26\/1833 + (-30726)\/(-6345). Factor -u*k + 0 - 3\/5*k**2.\nAnswer: -3*k*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1781797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44385.4g in nanograms?\nAnswer: 44385400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15) - 10881\/405?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a32 (base 14) to base 12\nAnswer: -11b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4617, 35, -11 in ascending order.\nAnswer: -4617, -11, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10096188 is divided by 42780.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-17 - 68) + 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*c - 3933*b**3*w + 41*b**2*c + 4*b*c*w - 1 wrt b?\nAnswer: 12*c - 23598*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*f + 2434 - 7190 = 0 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*l**2*x + 612*l**2 + x + 12 wrt l?\nAnswer: -12*l*x + 1224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952548.4l to millilitres.\nAnswer: 952548400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j**2 + 4*j + 1. Determine x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)*f*f\/(f**(1\/9)\/f)*f)\/(f*f*f\/f**(-2\/7)*f)**(-5\/2))**(-12) assuming f is positive.\nAnswer: f**(-2420\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:06 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42960187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (924\/(-96) - -10) + 78\/(-80).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b3d520 (base 14) in base 5?\nAnswer: 11440110103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 + 7*j + 10. Let t be o(-6). Let y be 10\/t*(-144)\/(-30). Suppose d - y = -d. Solve 0 = 5*s - d + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p + 4. Let z be 3\/9 - 32\/6. List the prime factors of u(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16582737.\nAnswer: 3, 31, 41, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 18*o**3 + 108*o**2 + 14*o - 1. What is v(-6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/((-1554)\/45)*((-94)\/(-20) - 4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35541 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -31. Let f = -17 - y. Solve -5*o + f*u = -3*o + 6, 5*u = -o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-8\/9))**(-19\/2) assuming a is positive.\nAnswer: a**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v. Suppose 3*u - 3*c + 12 = 0, u = 5*u + 4*c + 32. Let t be i(u). Solve t*g = 4*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(2448)*-2)**2 + (-4 + -4*sqrt(2448) + sqrt(2448))**2 + sqrt(2448))*-1.\nAnswer: -12261 - 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(11\/(-1848)). Suppose 2*q - 55 = 41. Suppose 6*n - w = q. Solve -5*y = -4*j - 13 + 1, 0 = 3*y + 5*j - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*j - 0*j - 534, 111 = j - t. Suppose -w - 3*w + j = 0. Calculate the greatest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/50 and -8 - 14\/(33516\/(-19755)).\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.079, -0.5, 1\/2, 1\/4 in increasing order.\nAnswer: -0.5, -2\/5, -0.079, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1719, 3438, 5157, 6876, 8595?\nAnswer: 10314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2125\/4 + 2019\/4. Calculate the common denominator of 77\/1846 and k.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + -0.31. Let k = -0.300016 - c. Round k to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1391\/50847 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**4\/12 - f**3\/3 - f**2. List the prime factors of n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 40*u + 10. Let w(o) be the second derivative of 25*o**3\/6 + 39*o. Give w(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -39. Let s(u) = u**3 + 6*u**2 - u - 3. What is s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23897.601737429 and 0.3?\nAnswer: 23897.301737429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + 2)*(-5*s + 2*s - 3*s) + (-3 - 1 + 2)*(2*s - 3*s - s)*(1 + 4 - 4))*(-4 + 4 + 2) - 5*s + 2*s + 2*s to the form g + p*s and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 53*u**2 + 228*u - 21. Let a be w(-57). What is the biggest value in a, 19, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13168, 13215, 13262, 13309, 13356?\nAnswer: 13403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:30 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 132 = 6*y. Suppose 48 + y = 4*i. Suppose -i - 57 = -4*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -f + 108, 0*f - m = -3*f + 324. Suppose 7 = -5*l + 67. Calculate the greatest common factor of f and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6797000 to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 12*i**2 - 10*i + 8. Let k(a) = a**2. Let x be -3*(8\/12 - 1)*-1. Let w(t) = x*j(t) + 2*k(t). Calculate w(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:50 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6796?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -95689.86+0.03\nAnswer: -95689.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*q**4 + 25*q**4 + 33 + 307*q**4 - 20*q**4 + 80 wrt q.\nAnswer: 1444*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a. Suppose -8*f - 45 + 53 = 0. Suppose 4*l - u - 23 = 0, 3*u - 33 = -5*l - 0*l. Let x be f\/l - (-3 - (-37)\/6). Calculate d(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -20*b + 64. Solve 4*i + b*g = -6 - 2, 4*g = -3*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*d - 42*d - 167*d - 2541 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -54. Let s be 7620\/(-100)*(-5)\/1. Let c(y) = -s*y - 6 + 378*y + 15. Calculate c(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, -30\/353?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300200 (base 4) to base 7.\nAnswer: 44635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*d - 2483 - 178 = 1937 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-516)\/(-21))\/(4\/14). Let t = -83 + x. Solve t*a = a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 14. Solve w - 3 = -m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 21, 31, 41?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11104002 (base 5) in base 2?\nAnswer: -10111110001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49725290.3 + 49725565.299829. Let o = n - 275. Round o to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-5\/7)*c*c)\/c)\/(c*c**13*c*c*c*c*c))\/(c**(2\/11)*c)**(-15) assuming c is positive.\nAnswer: c**(78\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {h: 1, g: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1)))**(-23\/3)\/(c**(6\/11)\/c**(2\/5)) assuming c is positive.\nAnswer: c**(-1289\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, -22, -974, -3152, -6964, -12818, -21122?\nAnswer: -32284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055768.\nAnswer: 2, 7, 17, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -13 - (-3 + 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 167. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let r(j) = 4*j - 8. Let g(p) = 430*p - 1723. Let k be g(4). What is k*z(h) + r(h)?\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 28*c. Suppose 2*t = 6*t - 5*w - 16, 20 = 5*t + 4*w. Differentiate c*j**4 - 3 - 3*j**t - j + j wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 9)*(0*c - 4*c + 2*c + 5 + 2*c - 5 + (4 - 3 + 1)*(4*c - 2*c - c)) as p*c + z and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x + 7*x**2 - 7*x**2 + 5*x**2 - 4*x**2.\nAnswer: x**2 + 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*s - 12 = 1, 0 = 2*s + 10. Calculate the greatest common divisor of i and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:55 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 12. Let p = 12 + t. Solve 11 = -v + p*g, g = v - 4*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24391 is divided by 1626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:01 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (389*f**2 + 55*f**2 - 86*f**2)*(f - f + f).\nAnswer: 358*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*115*(-4)\/(-10). Suppose 4*j - 2*s = 74, j - 2*s - c = -7*s. What is the remainder when ((-8)\/(-10) + 1)\/((93 + -95)*(-6)\/400) is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a factor of 363500928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-1173060)*-57*(-5)\/(10\/12)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1286 + -910. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-1512 + 1512 - 938*f).\nAnswer: -938*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 + 4015908*w**3 + 7653*w**2 + 717.\nAnswer: 240*w**3 + 24095448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3884.180524 to zero dps.\nAnswer: 3884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3867 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 4.6. Let q(h) = -6*h - 1 + 3*h + h. Let x be q(-3). Which is the closest to 0.1? (a) x (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6395*d + 11721*d - 5884*d.\nAnswer: -558*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76)\/(sqrt(12)\/sqrt(3)) - (-1 + sqrt(19) + sqrt(76))**2)*-3 - (1 + ((-2 + sqrt(19) + 0)**2 - ((sqrt(76)*-1 + sqrt(76))\/sqrt(4))**2)).\nAnswer: -17*sqrt(19) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.21689 - 25.21889. Let u = a - -25. Let o = u - 0.078. What is o rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28954, 28779, 28602, 28423, 28242, 28059?\n\"Answer: -n**2 - 172*n + 29127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173 - -253. Let i = 79.999904 - j. What is i rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -3\/7, -0.5, 4, 1037\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-3350)\/12)\/(-25) - 11)*(-8 + 1 - -4). Let s = -0.7 - 0.3. Which is the nearest to -1? (a) 0.55 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 16*w + 75. Let l be z(7). Let x = 16 - l. Solve x*o - n = 2*n - 9, o - 5*n = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3 + 467*q**2 + 2725*q.\nAnswer: 6*q + 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 s when four letters picked without replacement from jsssjjhshsjssjjhjjj.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + -5. Let d(y) = y**2 - 18*y - 6. Let c be d(15). Let z = q - c. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -542.\nAnswer: 54.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 4*l**2 + 0*l + 5 - 4*l - 3*l**2. What is s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -1702.47\nAnswer: 510.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = j - 2*j + 45, -4*j + 2*y = -124. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -941\/930 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -56*o - 105. Determine h(-4).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -11 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = -143 + 23 - 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 22*x - 29. Let c be l(-23). What is the third biggest value in -0.1, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h**4 - 15308*h**3 + 107298*h**2 - 17458*h = 0.\nAnswer: 0, 1\/6, 7, 1247\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let y(d) = 3*d + 1. Let b(z) = 2*c(z) - y(z). Let f(w) = -5*w. Give b(f(a)).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2041, 4580, 7139, 9730, 12365, 15056, 17815?\nAnswer: 20654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1269635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdv when three letters picked without replacement from {p: 2, d: 5, v: 3, m: 9}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*f = 40, 7736*d - 13 = 7738*d - f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((2\/4)\/((-8)\/(-16))). Suppose y = -5*g - 4*d + 62 + 32, -2*g + 52 = -2*d. What is the highest common divisor of g and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 - i. Let q(w) = w**2 - 3*w + 2. Let y be q(3). Let z(n) = 0*n + n**2 - n**2 - y*n**2 + 4*n**3 - 2*n. Give -2*m(h) + z(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(605) - ((sqrt(605) - -2*sqrt(605)) + 1).\nAnswer: -22*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 60*o**2 - 4*o + 1. Let h(k) = -2*k. Give u(h(a)).\nAnswer: 240*a**2 + 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21859 divided by 7882\nAnswer: 21859\/7882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o + 55. Let f = -4 - -8. Calculate the greatest common factor of f and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -113) + 15 + -1 + (-69 - -89 - 35).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 113*t**2 - 12*t - 1346. What is y(-113)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2592701 days to minutes.\nAnswer: 373.348944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123.71242 + 0.04242. Round m to the nearest integer.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 512907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2246, 4715, 7408, 10319, 13442, 16771, 20300?\n\"Answer: -o**3 + 118*o**2 + 2122*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7823.205mm in centimeters?\nAnswer: 782.3205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 7 - 67)*(-4 - 4 + 2)*(2 - 5 + 4 + 2*o) in the form h*o + a and give h.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2508654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/9 or -128792?\nAnswer: -128792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2715.\nAnswer: 14\/2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -200880 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1.5. Let w be 14\/30 - (-2)\/(-3). Which is the third biggest value? (a) j (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1 - 2) + 9. Suppose -r + a = -1. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.96 and 0.06?\nAnswer: 2.1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/2)*h)\/((((h\/(h\/(h*h**(-2\/7))))\/h*h)\/h*h)\/h))\/(h\/h**(-2))**(-45) assuming h is positive.\nAnswer: h**(1915\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/175 and -72\/11725.\nAnswer: 11725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10800000 = 2*y. Suppose -3*p + m = -y, 3*p + 2*m = 3126756 - 966756. Round p to the nearest ten thousand.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19291?\nAnswer: 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -21, -31, -45?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0 = x - 2, -2 = -g - x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2, -0.76?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1053) + 6*(sqrt(1053) + -2)**2)*-5.\nAnswer: -31706 + 1035*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.9 (b) -0.05 (c) -4 (d) -26\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**4\/12 - z**3\/6 + 6*z**2 - 702*z - 2. Factor x(q).\nAnswer: -(q - 3)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954795?\nAnswer: 5, 390959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*f + j + 41, 0 = 2*j + 2. Let v be (-3)\/f*(-14)\/7. Which is the second smallest value? (a) 0.5 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20 + 11 - 3002\/(-334). Suppose -y + 8 - 5 = 0. Let p = -3 + y. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/3971 and 56\/57.\nAnswer: 11913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-76)\/(-95)*(12 + -7). Solve -2*d = 3*z, -5*z + 3*d = 5*d - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 - 26 + 10 + 1.\nAnswer: -14*g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -65*f**4\/24 - f**3\/2 - 10*f**2. List the prime factors of u(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 15) + 4 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 - 12*c**5 + c**5 + (3*c**3 + c**3 + c**3)*(-2*c**2 + 5*c**2 - 4*c**2).\nAnswer: -20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + -4 + -4*sqrt(243))**2.\nAnswer: 280*sqrt(3) + 3691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, 4, -1529516 in descending order.\nAnswer: 4, -2, -26, -1529516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 42 = 22*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2012103*m**2. Let d(h) = -15*h. What is d(k(b))?\nAnswer: -30181545*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:21 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1791, -1441, -1091?\n\"Answer: 350*h - 2141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 27*r - 78133. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1699*s**3 + 2641*s**2 + 5*s + 45. Let n(c) = 2549*c**3 + 3962*c**2 + 8*c + 72. Let j(f) = 5*n(f) - 8*y(f). Find the third derivative of j(v) wrt v.\nAnswer: -5082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)*x)\/x)**(-8\/9)*(x*x**(4\/7)*x*x)\/(x**(2\/5)\/x)*(x\/x**(-1\/2))**(-42)\/(x\/(x\/x**5)*x*x**(-2\/7)) assuming x is positive.\nAnswer: x**(-61273\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j = 38*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 r when three letters picked without replacement from {f: 2, r: 12, y: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -1.7 (c) -1.7638 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 961 + -387. What is the greatest common factor of p and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -113, -238, -401, -596, -817, -1058, -1313?\nAnswer: -1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n - 15. Let j(o) = -12515*o + 6. Determine f(j(h)).\nAnswer: 150180*h - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100 - -10000?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/7424277 and -21\/10130.\nAnswer: 74242770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/13 + 176*z\/13 + 3872\/13 = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28183166*d*w + 20526308*w wrt d.\nAnswer: -28183166*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/20 + f**4\/2 - f**3\/3 - 3*f**2 - 3*f. Let r be a(4). What are the prime factors of (-8)\/(-180)*-5 + 1210\/r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 5:37 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700) + 2 - sqrt(700))*-1 + -4.\nAnswer: -10*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -1. Let d be (20\/(-2))\/(-2) - 2. Suppose -d*h = 2*h - j. Solve -4*c + h = 4*m - 2, -5*c = m + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117.3 + 117.3. Which is the nearest to n? (a) -4 (b) -3 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 193227008 and 3715904?\nAnswer: 193227008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 21*w**2 - 21*w + 15. Calculate the remainder when a(22) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004415955 to seven dps.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 + z - 7. Let x(j) = -j**2 + j + 1. Let y(d) = -v(d) - 5*x(d). Determine y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -74 - 11. Suppose -4*p = -r + 35, 11*r + u*p = 9*r + 31. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(192)*3.\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -19315?\nAnswer: -19315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from yodol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 16. Let u be g(9). Let f = 26789 + -26774. Solve -6 - f = u*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347935?\nAnswer: 5, 7, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 less than 0.3?\nAnswer: -203.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 503.5681mm?\nAnswer: 0.5035681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52574939 or -52574938?\nAnswer: -52574938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.647909 micrograms to nanograms.\nAnswer: 1647.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 - -120173572.\nAnswer: 120173699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15543 is divided by 214.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 + 1 = 0. Let t be (8\/6 - f)\/(10\/(-20)). Let z = -2 + 2.4. What is the nearest to t in -4\/7, z, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**5\/10 + 47*k**3\/6 + k**2\/2 - 33*k - 55. Let j(o) be the second derivative of h(o). Differentiate j(a) with respect to a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 124.7. What is the third smallest value in -3, k, 2\/107?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 18. Let m(t) = t - 2. Calculate the remainder when m(b) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5)*(-2*r + 3*r - 5*r)*(3*r - 2*r + r).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6834 and 8829?\nAnswer: 20112462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9774.7 - 9775. Put 1\/2, o, -2\/5, 16, -2\/11 in ascending order.\nAnswer: -2\/5, o, -2\/11, 1\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 - 5 = 0. Suppose -o*g = -13 + 3. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 3*c**2 - 2*c**2 + c**3 + 3*c - 1 - 5*c. Determine l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.226 - -2.226. Sort -74, -0.2, m, 0.\nAnswer: -74, m, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (32 + (-86 - -33))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*r + 1 - 4 = 0, 20 = 2*f + r. Let d(n) = n - 8. Let m be d(f). Is -9 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*n - 3*c, -4*c + 36 = -5080*n + 5084*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4 - 13. Let s be k*(-1 - 1) - 3. Suppose -q + 886 + 432 = -g, -5*q + 3950 = -s*g. What is g rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.7735417*-1.\nAnswer: -33.7735417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:07 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9850 and 1751330?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 277?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 - 0)*(0 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238447 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 83267.\nAnswer: 17\/83267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:47 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) + (-2 - -30691). Let j = t + -21398. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 165. Solve 2*p - 4 = -q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302 and 604.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*b + 5*b. Suppose b*y - 499 = -484. Solve v = 5*v + y*j - 19, -v + 5*j = 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21081914 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31818 divided by -1.\nAnswer: -31818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 643403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/616 and -43\/560?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15232 = 4*z - 311232. What is z rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4225 and 6437275.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*g - 7*g + 28 = 0, 3*g = -5*r - 8. Let v = 4 - 5. Let m(f) = 2*f - 1. Let s be m(v). Sort -5, r, s in descending order.\nAnswer: s, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.29 or 1\/26?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 226 = 11*a - 8*a, 171*x - 176*x + 245 = -15*a for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007959521 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15567 - 1605028*y + 802515*y + 802513*y - 9068*y**2 wrt y?\nAnswer: -18136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1196, 2111, 3026, 3941?\n\"Answer: 915*u + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2426*j**2 + 32*j**3 + 2426*j**2.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 3*h**2 + 1. Let d(j) = -4*j**2 + 7*j - 3. Let c = -27 + 20. Let w(a) = a**2 - 2*a + 1. Let i(m) = c*w(m) - 2*d(m). Calculate 2*i(r) + u(r).\nAnswer: -2*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 0, -5*s + 10 = 4*w - w. Which is the nearest to 1? (a) 3 (b) 4 (c) -17 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -1125, -2516, -4463, -6966, -10025?\nAnswer: -13640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014869 is divided by 54455.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:08 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9606517\/5 or 1921302?\nAnswer: 9606517\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 71, -1, 12, 3, -7.\nAnswer: -7, -1, 3, 5, 12, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2 + -4)\/(-2). Let f = 7283\/105 - 348\/5. Let b = f - -4\/7. Which is bigger: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k. Let v(n) = 9*n. Suppose 35*z - 27 = 38*z. What is z*s(a) - v(a)?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 + -2422056?\nAnswer: -2422110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89076 is divided by 3059.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 31*l**2 - 3373*l - 37601. Give x(119).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = -3*m, 4*h - 5*m = h - 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954305522 to the power of 1\/3, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2767, -3458, -4149, -4840?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2728 - 641. Suppose u = 5*r - 728. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144033112 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -7*t**2\/2 + 5*t - 2. Let c be v(4). Let p = 35 + c. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*f. Suppose -f*v = 2*v - o + 5, -15 = -v - 3*o. Let c be 3\/(1 - (-6 + 6)). Which is greater: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*a**3 + 3282588*a**2 + 1458880*a + 162096.\nAnswer: 4*(a + 10131)*(9*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 14?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5123*t = -5125*t + 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639914 is divided by 546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3456) - sqrt(3456)*1)*6)\/((sqrt(84)*-2*1)\/(sqrt(343) - sqrt(343)*2 - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h**3 - 1935665*h**2 + 73060520*h + 16331260 = 0.\nAnswer: -2\/9, 38, 42977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/5 - -14\/5. Let k = 2 + -4. What is the third biggest value in -4, l, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u - 35. Give s(-39).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -7*v + 6. Let s be 1*(6 - v) - -80. Let x = 121 - s. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191057 times -1154?\nAnswer: -220479778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-60)*-4*(-5 - -3 - 259). What is the greatest common factor of z and 1247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -11*u - 80. Let m = -5 - 3. Is m at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*j**6 + 2*j**5 - 110*j**2?\nAnswer: 1440*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 11)*2\/(-20)*-5. Let p = 526\/3 + -177. Which is the nearest to t? (a) p (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(-d + 3*d + 0*d) + (-3*d + 3*d - d)*(-4 + 5 + 7)*(3 - 6 - 2) as m + k*d and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 11*l**2 + 12*l + 26. Calculate the remainder when p(-4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-22) + 6665\/473. Suppose 0 = -2*s - 2*s. Solve -4*a - 81 - z*a - a**2 + s = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -16, -0.6, 0.03, -2\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3226 = -3*c, 2*u + 2*c + 2428 = 5*u. Let v be u\/((-2 + 4)\/5000). Round v to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:41 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + b + 65. Let m = 13 + -6. Calculate the least common multiple of o(7) and m.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33016585 and 7580.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/60 + a**3\/6 + 2*a**2 - 4*a. Let r(i) be the first derivative of w(i). Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2. Let i(o) = o**2 - o + 2. Let y be i(0). Let q(z) be the first derivative of 2 + 1 + z**2 - y. What is v(q(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 4*m + 0*m**2 + 1\/6*m**3 + 0. Let q(g) = -5*g. What is q(v(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -47, -62, -75, -86?\n\"Answer: y**2 - 20*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igjawao. Give prob of sequence gao.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwaasspu. What is prob of sequence wpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 20*l**2 - 71*l - 119. List the prime factors of v(-25).\nAnswer: 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:42 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 510 + 1444. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*c - 22 - 9*c - 15*c - 25*c - 15*c in the form k + z*c and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30732 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**3 - 1752*c**2 + 1752*c**2)*(-10*c - 13*c + 174*c).\nAnswer: -2567*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/8*8\/5. Suppose 0 = -3*x + 5*x - a. Let f = 8 - x. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-76)\/(532\/(-35))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-2\/5)\/u)\/u)*u)**(-3\/4)*(u*u**4)\/u**(1\/3)*(u**0)**(-8)\/(u**(-1\/2)\/u)**(-17) assuming u is positive.\nAnswer: u**(-1403\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2299) - (-1 + sqrt(2299))))**2 + sqrt(2299) + (sqrt(2299)*1)**2 + 5.\nAnswer: 11*sqrt(19) + 2313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1926*c*w**3 - 23*c*w**2 - 16*c*w + 25765580*w**3 wrt c?\nAnswer: -1926*w**3 - 23*w**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + h - 90 = 14, 0 = -3*q + 5*h + 55. Suppose -5*a - q = 15. Is 1\/4 + (-614)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 3*s**2 - 2*s - 2. Let p be b(-2). Suppose -p*o = -3*o - 33. Calculate the greatest common factor of o and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076 a factor of 3881132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9275731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498002 and 13972.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -8, -5, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:34 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (3 - (-3 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.33 - -0.03. Let j = 58788.9 - 58789. Which is the closest to -2? (a) z (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*y - 6. Let x(p) = -p**2 - p. Let z(h) = -4*h**2 - 4*h + 4. Let d(o) = -x(o) + z(o). What is d(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 6, p: 12}. What is prob of picking 1 u and 1 p?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*q - 72*q + 323 - 131*q - 54*q - 854 wrt q?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - j**4 + 0*j**2 + (j**3 - 2*j**3 + 2*j**3)*(-2 + 2 - j) + j**3 + 32*j**4 - 80*j - 84*j + 166*j.\nAnswer: 30*j**4 + j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*d + 269*d - 2*z - 9 = 0, -3 = -3*d - 3*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 328*m**3 + 1136*m**2 - 352*m. Let i(y) = -4*y**3 + 4*y. Let k(j) = 4*h(j) + 352*i(j). Find the third derivative of k(l) wrt l.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250520021.\nAnswer: 2250520021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -131615, -131616, -131617, -131618, -131619, -131620?\n\"Answer: -t - 131614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5025 - -5025.3. Which is the nearest to -1\/2? (a) -8 (b) o (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 188, 281, 374?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 15 (b) 12 (c) 2\/3 (d) -1 (e) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 15, 3*f = 2*x + 52 - 13. Let 15*p**2 - 29*p**4 + 8*p**4 + 18*p**4 - 1 - f = 0. What is p?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 13 + 203. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8026 + 8057. Solve 0*m = h*m - 62 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16522562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 6*f + 3*f)*(-1 - f + 1) - 915*f**2 - 148 + 146 + 1513*f**2 as n*f**2 + o*f + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**3 - 73033505*v**2 - 307172045.\nAnswer: 9*v**2 - 146067010*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2876 by -11920.\nAnswer: -719\/2980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48568 and 405178540.\nAnswer: 810357080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 - 2646*s + 10509. Give f(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 10*v**2 - 4*v - 39. Let k be h(-10). Which is smaller: -120 or k?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1 - 9*l + 14*l - 1. Let s be f(-2). Let u = s + 8. Which is greater: u or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/79596 and -131\/396.\nAnswer: 79596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7882521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5.7. Let g = -112 - -114.96. Let j = g - -0.04. Sort i, j, -0.4 in decreasing order.\nAnswer: j, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.941914 to two decimal places.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 395, 366, 345, 332?\n\"Answer: 4*d**2 - 41*d + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(270\/(-20))\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = q + 508*d - 504*d, -8 = d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -11\/12*r**4 + 0*r - 5\/3*r**3 + 2*r**2 + 0. What is the derivative of k(f) wrt f?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32107, 32346, 32591, 32842?\nAnswer: 33099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 5*n - 812. Suppose 8*t = 3*t + n. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3980*s - 11. Let m(x) = -x + 3. What is 4*m(v) + q(v)?\nAnswer: 3976*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 5:27 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 1. Let m be a(3). Suppose -5*p + m = -2. Suppose 3 = 2*r + 1. Put -4, p, r in decreasing order.\nAnswer: p, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 40*u**2 - 3*u + 23. Suppose -16*y - 494 = 3*y. Is o(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-50))\/((12\/(-14))\/3)*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67174, 135229, 203284, 271339, 339394, 407449?\nAnswer: 475504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8778 + 9151. What is the remainder when b is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 159*f + 4810.\nAnswer: -(f - 185)*(f + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-140)\/(-240) + (-2)\/8). Solve -2*x - 1 = -s + 3, 3*x + 15 = -r*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 124020 and 17.75444?\nAnswer: 124002.24556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2440?\nAnswer: -1\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6b1 (base 16) to base 8.\nAnswer: -143261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36101.32809 rounded to the nearest 10?\nAnswer: -36100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 1121. Let b = -929 + f. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204) - sqrt(204) - sqrt(204))*-1)\/(sqrt(12) + sqrt(12) + (sqrt(12) + sqrt(48))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + -58 + 31 + -54?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -q - 546. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79161 by 3.\nAnswer: 26387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = 3189 - 3365. Solve -18*x - b = -26*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521 or -34?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 41. Let a be y(19). Let w(z) = 3*z + 7. Let x be w(-6). Let b be x\/44 + 2\/8. Solve -v = -b*v + 3*r - 8, -2*v = a*r - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3342?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/159461 and 85\/1086?\nAnswer: 956766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 5*d**2 + 11*d + 7. Let j be w(-7). Let i be ((-27)\/12)\/((-1)\/j). Suppose 3*v = -3*n + i, 3*n + 32 = v + v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -2\/17, 1, 175?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 24. Let l be n(-12). Suppose 8*q - l = -4. Which is smaller: q or -2\/125?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/2*12\/(-9). Suppose 24 = k*j - 4*j. Is j\/42 + (-1475)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-7))\/(2\/87994). Let q = j - 94455. Let p = 7751\/42 + q. Calculate the common denominator of p and -13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*o - 0. Suppose -2*b = o*u, 0 = 2*b + 5*u + 6 - 4. What is the second biggest value in b, 2, -1\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y - 12*h + 17, -5*y + 5*h = -20. Solve 1 = -j - a, -4*j + 41 = -0*j - y*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 169*p - 46. Let h(s) = -168*s + 56. Give 6*f(r) + 5*h(r).\nAnswer: 174*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1, -20974, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 3 (c) -3 (d) 3.35 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*(-456)\/(-3168)*22.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2173*r - 13296 = 14953 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((-6 - -2) + 3)) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011111101110 (base 2) in base 10?\nAnswer: 174062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 125865.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4044*g**3*h**4 + 2*g**3 - 1434*g*h**4 + 482409*g + 8 wrt h?\nAnswer: -16176*g**3*h**3 - 5736*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5 - f**2 - 10 + f**3 + 4 - f. Let l be u(2). What is the common denominator of (-179)\/(-120)*-2 + (2 - l) and -47\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*c**2 + 0 - 8\/7*c = 0. What is c?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 51 = 5*o, 5*s = -o + 2*o + 9. What is the remainder when ((-59)\/3)\/(104\/(-312)) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zazzzzzzrzazzzzzz.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138299.\nAnswer: 7, 23, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -313013?\nAnswer: -313002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.002 + 1.002. Which is the closest to t? (a) 5\/6 (b) -4\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 232470, 232475, 232476, 232473?\n\"Answer: -2*o**2 + 11*o + 232461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 149384 = -3*f - f, -149382 = -4*f - o. Suppose 3*v - 4*h = 6702 + f, -4*v + 3*h = -58720. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 109*d**3 + 3*d**2 + 2*d - 3. What is the tens digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.4378984204 + 5\nAnswer: -10.4378984204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2900417\/108 - -26855. Calculate the common denominator of 95\/96 and k.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/3269 or 0?\nAnswer: 8\/3269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2914 and 372.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) 3 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3\/4)\/(4\/(-160)*9).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 - -1 - (-3 - 2). Let o(v) = -v**3 - 2*v**2 - 3*v - 2. Let j be o(-2). Solve n*z - z + j*t = -12, 3*z = -5*t - 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15983178*u - 45816678 wrt u?\nAnswer: -15983178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6 and (37 + -4)*(-1)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -2) + 9\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/5 - 37*x\/5 - 36\/5 = 0. What is x?\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -109*s + 18784. Let i be u(172). Solve -b + 5*m = -i, 0 = 3*m + 39 - 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732809 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/14*(-259)\/(-185).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**3 - 8*o - 10*o**3 - 34*o - o**4 + o**2 in the form l*o + j*o**4 + b + y*o**2 + n*o**3 and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -a. Let n be a\/(-8) + 57\/2. What is the greatest common factor of 70 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**8\/336 - o**7\/21 + 11*o**6\/40 - 2*o**5\/3 + 2*o**4\/3 - 6*o**2 + 10*o. Suppose y(n) = 0. Calculate n.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 14. Let z be w(-6). Is 15 a factor of (5\/z)\/((-1)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/((1 - 0) + 0). Let t(s) = -9*s**2 - 1064*s - 75. Let z be t(-118). Calculate the highest common factor of z and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 21*s**2 + 53*s + 33. Let f be b(-17). Let q = 290 - f. Factor 4\/7*w**3 - 12\/7*w**q + 0 + 0*w.\nAnswer: 4*w**2*(w - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -556, -2145, -4764, -8413, -13092, -18801?\n\"Answer: -515*j**2 - 44*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341 divided by 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 23 = y, -12 = 3*q + y + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179836614 and 15570?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 102*n + 867 = 0. Calculate n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 95*x**4\/6 - 110*x**3\/3 + 220*x. What is the second derivative of l(j) wrt j?\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 22 - 6 = 0. Let d = -1 - -1. Find the common denominator of (-72)\/(-21) + (t - d) and 28\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/3))**(6\/5)\/(f**(-5)*f*f**(-20)))**(-2\/5) assuming f is positive.\nAnswer: f**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.485 + -7966.515. What is the biggest value in -0.3, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.256 less than -2?\nAnswer: -2.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60100376 (base 8) in base 5?\nAnswer: 11212202214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-15) + 3\/(-6). Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3302102 (base 4) to base 11\nAnswer: -10717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 93 = -11*o, -7*o - 1 + 6 = 2*t - 8*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3933 - 26467 = -19*j. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let j(a) = 25655*a**2. Determine c(j(z)).\nAnswer: -658179025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13220401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**3 + 17*f**2 + 20*f + 18. Let h(g) = 7*g**3 - 17*g**2 - 22*g - 18. Let a(u) = 5*h(u) + 6*l(u). Does 20 divide a(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/((-4)\/90 + (-90)\/((-510300)\/6327))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426903861 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) - -2*sqrt(84) - sqrt(84)))\/(sqrt(12) + sqrt(48)*-2).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19688764299 rounded to six dps?\nAnswer: -0.196888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1251282?\nAnswer: -625641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/55? (a) 6\/11 (b) 973\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*h = -138, 0 = 5*b - 3*h - 176 + 1. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 3*w + 20. Calculate the remainder when y(-9) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:53 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-3*2*sqrt(12)) + sqrt(160)\/sqrt(128) + (sqrt(1225)*1)\/(sqrt(25)\/(sqrt(25)\/sqrt(5))).\nAnswer: 22*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -309488398 or -309488400?\nAnswer: -309488398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 10*t**2 + 12*t + 13. Let r be m(-11). Let u be 47\/(-4)*(-4)\/3. Let l = u + -16. Which is the nearest to -2\/3? (a) l (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 110 = 4*n, 5*b + 49*n = 47*n + 62 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-300)\/(-444)) + (-7)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 + 9. Let p(o) = 5*o**2 + 64*o - 13. Let q(a) = -a**3 - 22*a**2 + 47*a - 37. Let r be q(-24). Let z be p(r). What is l(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1411032)\/(-116416) + -2 + 1. Let q = j - -8\/1819. What is the common denominator of -51\/4 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 + (-3)\/(90\/816). Let u be ((s\/6)\/((-18)\/12))\/1. Solve -u = 6*j - 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 3*d)*(-908*d**2 - 1030*d**2 - 1040*d**2 - 195 + 195).\nAnswer: -2978*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*i - 21, 0 = i - 2*i - a + 6. Calculate the greatest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -139 - -148 - (13 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*v - 0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 11. Let u be l(0). Let d = 37 + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - 16. Let l = 50 + u. Let n = -2 + 2. Solve 4*c + 8 = 5*x - l, -2*c - 2*x + 8 = n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (10 - (-5 - (14 + -45)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 19 + 1. Let k(h) = h**3 + 5*h**2 - h + 2. Give k(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*s + 292*s + 195*s - 101*s to x*s + v and give x.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -172?\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*p**2*r**2 - 2*p**2*r*v**3 - 52*p**2*v**2 - 2*p**2*v + 3187*p*r*v**3 - 1237*r**2*v**3 wrt r?\nAnswer: 58*p**2 - 2474*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-177)\/(-63) + -1 - 48\/(-56) - 5. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/17640 and -121\/38976.\nAnswer: 4092480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4468, -8941, -13414, -17887, -22360, -26833?\nAnswer: -31306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -72*i**2 + 60*i**2 + 26*i**2. Let l(t) = -134*t**2 - 2. Determine z(l(h)).\nAnswer: 251384*h**4 + 7504*h**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/23, 0.7, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21) + 1\/7*-3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + -85500.895225?\nAnswer: -85424.895225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4159 = -4*y, 2*d + 34*y - 8290 = 33*y. List the prime factors of d.\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 6. What is the remainder when 37 is divided by c(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 363 = 4*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + t + 5, -w + 3*t + 2*t + 9 = 0. Let x = -5 + 5. Find the third derivative of 23*y**4 - 25*y**w + x*y**2 + y**2 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 0 + (13 - (91 - 66)) + (-3 - 2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let r = 159 - 99. Let l be (r\/115)\/6 - 0. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) 0.5 (c) -1\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49505252 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 2) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1190 = 726*o - 14*o - 9490 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 5*o**2 - 4*o + 4. Let p be c(-4). Let k be (-1)\/(20\/p)*-15. Suppose 20 - 23 = -k*a. Calculate the smallest common multiple of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2467\/10156 - -18\/2539. Let g = -2.5 + 0.5. Let w = 3 + -4. What is the smallest value in g, w, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 + 6*u**2 - u**2 + u**4 - 4*u - 5 + u**2 + 0*u**2 to the form p + s*u**3 + d*u + g*u**4 + a*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 0.1 (c) -51 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1204, 1824, 2454?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129062956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.5, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -1. Let f be (-3 + 6)\/(k\/2). Solve f = -4*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x - 5. Let m be (-14)\/(-2)*(-5 + 4). Does 9 divide v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/6 + 1605*u\/2 + 136950 = 0. What is u?\nAnswer: -165, 4980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w + w)*(5 - 3*w - 5)*((1 - 1 + 9*w)*(2 + 1 - 5) - 4 - 2*w + 4).\nAnswer: 300*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15785 (base 10) in base 6?\nAnswer: -201025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -56, -81, -106?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nee when three letters picked without replacement from ejonjjjo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivxx when four letters picked without replacement from vxiiddddxidilxdidl.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 30, 62, 110, 180, 278, 410, 582?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38648?\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241435*a**4*q**3 - 2*a**2*q**3 + 3*a**2*q + 70*a*q - 21*q**3 wrt a.\nAnswer: 5794440*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164.6*-0.3.\nAnswer: 49.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d**3 + d**2 + 6. Let p(h) = -h**3 - h**2 - 1. What is 2*p(u) - q(u)?\nAnswer: 18*u**3 - 3*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11362 and -59\/1656?\nAnswer: 409032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 41 = 29, 12*q - 541736 = -5*b - 541909 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 165 = 4*q, 4*q - 270 = 5*v - 75. Let z be 50\/q - (-2)\/9. Suppose -2\/3*t**2 + z + 2\/3*t = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, -69.8, -60\/227?\nAnswer: -69.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*sqrt(210)\/sqrt(6) - sqrt(35))*4)\/(sqrt(21)\/(-4*(sqrt(27)\/sqrt(9) + sqrt(3)))).\nAnswer: -64*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -2 (c) 5 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(3 - 1 - 5)*(-2 - 4 - 2)*(77 - 43 - 26 + 9*l**2).\nAnswer: 216*l**2 + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 0*l + 223 - 222 - 4*l.\nAnswer: -9*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x - 4. Let k be y(7). Let s be (-18)\/(-8) - ((-65)\/(-20) - k). Suppose 5*n - 12 = -s. Solve h + 12 - n = -2*r, -3*r = 4*h + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:59 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219 - -280. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 578 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31744201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21104 = 5*y + 2*o, -2*y - 5272 = 4*o + 3176. Round y to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22923, -91735, -206413, -366951, -573343, -825583, -1123665?\n\"Answer: i**3 - 22939*i**2 - 2*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 220*y**3 + 175. Let l be (-7 - -1) + (-25)\/(-5) + -6. Let p(c) = -109*c**3 - 87. Let s(q) = l*p(q) - 3*r(q). Differentiate s(g) wrt g.\nAnswer: 309*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 6*b + 4*b. Let g(h) = 8*h. Let v be g(b). Solve -2*r - 10 = -o, -5*o + 5 = -v*r - r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/3 - 286164*q**3 - 40945203608*q**2 - 5858726343506980*q\/3 - 5858357844400882 = 0.\nAnswer: -143081, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8 = -g - 4*g, r - g + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.13 and -170636?\nAnswer: -4799990.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114278.\nAnswer: 2, 57139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 328*j + 8. Let n(q) = -2*q**2 - 655*q - 20. Determine 2*n(z) + 5*x(z).\nAnswer: z**2 + 330*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 9*a - 9. Let n be c(-10). Let w be 6\/((-1)\/((-40)\/(-12))). Let b = w + 24. Sort n, b, 5 in decreasing order.\nAnswer: 5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6593, 13245, 19897, 26549, 33201?\nAnswer: 39853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 30561?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n)\/n**(-12))\/(n**(5\/2)\/n**(-3\/5)) assuming n is positive.\nAnswer: n**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32969149*j**4 + 6779905*j**2?\nAnswer: 791259576*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f5 + 8?\nAnswer: -1ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m - 12*m + 0*m as i*m + o and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 28946 + 3970. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28171 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*l = c - 32, -3*l = -15. What is the tens digit of (-1603)\/(-49) + 4\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2298737 and 2107?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -775\/3 - -3091\/12. Is w less than 3\/290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let s(g) = -8. Let r(p) = -a(p) + s(p). Let n be r(14). Is 3 + n + -1 + 0 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -2\/17 (c) -0.1 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -114811258.\nAnswer: 5\/114811258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1036\/5*z + 52 + 9\/5*z**3 - 601\/5*z**2.\nAnswer: (z - 65)*(z - 2)*(9*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = 4*x, 4 + 2 = -2*v + 3*x. Suppose 4*j + r - 369 = -v*r, -457 = -5*j + 3*r. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + 2*h**4 - h**4)*(-51 + 24 - 7).\nAnswer: 68*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/21 (b) 115 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 342252?\nAnswer: -342252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -8*g**5 - 8*g**4\/3 + 70*g**3\/9 + 8*g**2\/3 + 2*g\/9 = 0.\nAnswer: -1, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*n + 20*n + 187*n.\nAnswer: 347*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 38*o**2 - 228*o - 47. Let a(k) = 20*k**2 - 114*k - 24. Let z(c) = -11*a(c) + 6*p(c). Is z(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 2, n: 3, i: 4}. What is prob of sequence uuyi?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1662122\/35309 + -9407\/201. Let k = 23\/7 + -356\/119. Let c = k - o. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602.064461 + -0.004461. Let h = k - 607. Let y = 5 + h. Which is smaller: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82144849*h**5 - 4*h**3 - 2188290*h**2 - 2*h + 30.\nAnswer: -4928690940*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 75 = -5*b + 2*v, -5*b - 100 = v. Let t = b + 23. What is the derivative of -9 - 5 + 7 - 2 - t*r**3 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Suppose -8 + 0 = 2*o. Let d = o - j. Put 5, d, -2 in increasing order.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*l - 13, 3*h - 5*h + 21 = -3*l. Put h, 5, 1, 42 in increasing order.\nAnswer: 1, 5, h, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqquqhhhuhuguhhg. What is prob of picking 2 u?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let s(v) = -12*v**2 - 8. Calculate h(s(n)).\nAnswer: 144*n**4 + 192*n**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - i - 590 = 0, 2*i + 2*i = -2*m + 570. Calculate the remainder when m is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 3, e: 3}. Give prob of picking 2 e and 1 z.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/2))**(-41)*(b**5\/b)**(-4\/7))**(15\/11) assuming b is positive.\nAnswer: b**(-22005\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 4.5 (c) 3\/5 (d) -1.1 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 2. Suppose 2*q + 3*q + 26 = -3*i, q = 3*i + 20. Let u(h) = -3*h + 4*h - 3*h + h - 1. Determine i*u(y) - 4*p(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 3*c - 24. Let f be u(7). Let v = -31 + f. Calculate the least common multiple of v and (1 - (1 - 8)) + -1.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/90228 and 1\/1442?\nAnswer: 631596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 7*q - 8. Let l be a(5). Let t = l - 4. Suppose 0 = -n + 5*r, r - 2*r = 5*n. Put 2, n, t in descending order.\nAnswer: 2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/14)*q**(-1\/2))**(-49)\/((q*q**(1\/2)\/q*q)**(-2\/121))**(-4\/19) assuming q is positive.\nAnswer: q**(-160942\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2271 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/390 - 54\/(-405)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -251, -37, 26, -5 in decreasing order.\nAnswer: 26, 3, -5, -37, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 k when three letters picked without replacement from kpffppkpkpfffpffkkt.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1198*v - 42 = -1206*v, w - 4*v + 22 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*k**3 - 10*k**2 - 99*k**3 + 3*k**2 wrt k?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4*j + 3. Let d be t(4). Let b = d + 0. Let y = -9 + 14. What is the remainder when y is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 19*a - 4. Let u be x(19). Let i be 1*(u + 4 + 9). What is the highest common factor of i and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 22*x + 61. What is q(25)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/11 - 1054*u**3\/11 - 32970*u**2\/11 - 250650*u\/11.\nAnswer: 2*u*(u - 557)*(u + 15)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 - 2 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t + 147. Let r be l(21). Let c(g) be the third derivative of 11*g**2 + r*g + 1\/24*g**4 - 1\/3*g**3 + 0. Give c(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759*v - 47*v**2 - 9*v**2 - 1762*v + 3521*v.\nAnswer: -56*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 - 11*x + 4. Let s(j) = -j**2 + 4*j + 4. Let l be s(6). Let p be z(l). Solve -b = 4*y - 15 - 5, p = 4*b + 3*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*x - 5. Let q(h) = -h + x*h + 0*h. Let r(y) be the first derivative of -7*y**2\/2 + 13. Determine r(q(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 5, o: 5, w: 8}. Give prob of picking 2 h, 1 o, and 1 w.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 297364547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/2 + 18759*w**2\/2 = 0?\nAnswer: 0, 18759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - 3*k, 2*x + 4*k + 0 = -2. Suppose -3*f - f + 2*t = -6, 2*f - 6 = 4*t. Solve -f + x = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z**2 - 351*z + 360*z - 3*z**2.\nAnswer: 63*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 161223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3656 (b) -1\/5 (c) 0.5 (d) -2 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Let z be 4\/(8\/(-6)) - -5. Suppose -4*g - 4 = -z*g. Let o(p) = -39*p - 27. Let i(r) = 3*r + 2. Let w(b) = g*o(b) - 27*i(b). Calculate t(w(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 1280, 2044, 2580, 2900, 3016, 2940?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 994100*i**2 - 61760201932*i - 555922342404 = 0. Calculate i.\nAnswer: -9, 124267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3496434104?\nAnswer: 2, 437054263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548442.6 years to centuries.\nAnswer: 5484.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 4. Let z(m) = 4*m + 17. Let s(i) = -99*i + 1756. Let l be s(18). What is l*f(k) - 6*z(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5\/32 (b) 4 (c) 1.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 + 122. Which is the biggest value? (a) -1 (b) -4\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208121 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssqommqqsnfs. Give prob of sequence sn.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 29*d - 3612. What is the smallest common multiple of q(126) and 2261?\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8808.694 centimeters in kilometers?\nAnswer: 0.08808694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 + 147. Let n be (v + 11 - 4)\/(7\/(-1)). Which is the second biggest value? (a) 0 (b) n (c) -0.03 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) -0.4 (b) 49 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35063504 by 188.\nAnswer: 186508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -11. What is the units digit of 2 - -1 - (y + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*h + 3*h**3 + 5*h**3 - 234*h - 2*h**3 + 174*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*u**2 + 375*i**2*u**3 - 24*i**2 + 467*i*u**3 - i*u - 4 wrt i?\nAnswer: -24*i**2*u**2 + 750*u**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102523 (base 6) to base 14.\nAnswer: 30c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 3. Let r be i(7). Suppose -2*o - r*m = -20, 8 = -o + 3*m - 7. Suppose o*q - 72 = -q. Calculate the greatest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 + 40*u**2 - 5950*u\/3 + 144500\/9.\nAnswer: -2*(u - 85)**2*(u - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -64.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*4\/12*3. Let l(p) = 47*p**2 + 2*p + 2. Does 19 divide l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/360 - t**5\/60 + t**4\/24 + 2*t**3\/3 - 4*t**2. Let n(w) be the first derivative of v(w). Factor n(d).\nAnswer: (d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21720294 is divided by 2490?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -374, -3520, -6786, -10166, -13654, -17244?\n\"Answer: z**3 - 66*z**2 - 2955*z + 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8592336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3122 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p + 22*p - 24. Suppose p*z - 21 = 3. What is the tens digit of (z + -2)*-1 + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -5*l**3\/2 - 2822*l. Suppose -7*i = -2*i. Let n(j) = 6*j + 0*j + i*j. Give -12*n(f) - 5*t(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 64. Let q = -42 + 38. Sort k, q, -3.\nAnswer: q, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + z**3 + 12*z**3 - 2*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208 - 420 + 204 - 9*r to the form s + g*r and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) 46 (c) -0.02 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 + 20 = 0. Suppose 4*p = 2*k + 36, -4*k = 2*p - z - 1. Solve -3*n = -2*u - p, -u + 4*u - 2 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 9. Suppose -36 = -s - 2*s. Suppose -10*n = -7*n - s. Solve -5*i - 32 = n*j, 0 = 2*j + j + g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 4*d**2 - 2*d**2 + d**2 - 5*d + 5*d + (5 - 1 - 2)*(1 - 1 - d**2) + d**2 - 2*d + 2*d - 138 - 34*d**2 - 139 + 270.\nAnswer: -32*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70843 + 105777 - 34934 + 25*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 13*w**2 + 13*w + 17. Let i be n(-12). Suppose l - 8 = -2*b, l = -b - 2 + 6. Solve -3*v = -3*p, -p = i*v - b + 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*x**5 - 16743*x**3 + 82*x**2 - 61456*x?\nAnswer: 5820*x**2 - 100458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -682, -1362, -2032, -2686, -3318, -3922, -4492, -5022?\n\"Answer: u**3 - u**2 - 684*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142560 is divided by 370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 19*s + 7*s. Let m(i) be the second derivative of -1\/16*i**4 - i - 1\/4*i**3 + 3\/40*i**5 + s + 0*i**2 + 1\/40*i**6. Factor m(f).\nAnswer: 3*f*(f - 1)*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -68, -89, -102, -107, -104, -93?\n\"Answer: 4*m**2 - 41*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3235\/9 - -359. Let x = -8.52 - -8.02. What is the second biggest value in -2, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21431 (base 5) to base 13\nAnswer: 8a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from ctctwcctctcwcwtc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/60 + k**4\/4 - k**3\/2 - k**2. Let f(q) = -118*q - 116. Let r be f(-1). Calculate z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 5*o**2 + 13*o + 87. Let n be b(-6). Calculate the greatest common factor of n and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 938 and 937 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 102*q**2 + 2440*q + 512. Calculate w(-64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k + 17*k - 21*k + 16*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -85 (b) 2 (c) -4 (d) -1\/2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 + 61*q**3\/3 - 420*q**2 + 9200*q\/3 - 8000\/3.\nAnswer: -(q - 20)**3*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/48 + (-51)\/8. Let j(n) = -10*n + 5. Let c(d) = -11*d + 5. What is m*c(o) + 7*j(o)?\nAnswer: -4*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497486930 divided by -2.\nAnswer: 248743465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.74 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.4 + -90. Let m = 65.2 - 87. Let r = m - j. Round r to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 0 + 44 - 65 + 21. Let u(p) = -3 - p**2 - p**2 + 15. Calculate d(u(s)).\nAnswer: 6*s**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-100 + 103)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2\/15 + 1102*v\/5 - 13192\/15 = 0.\nAnswer: 4, 1649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-4))\/(3\/(-54)). Let a = 89 - w. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from uuufussfsssusuu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 times 41.07?\nAnswer: 8953.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-2)\/(-8). Let v = 11 - 25. Let c = -13.99 - v. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 222602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03596 rounded to 4 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*t + 15567 + 52959. Does 50 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07702852 and -5?\nAnswer: 5.07702852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8200 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 - 10*z**2 + 13*z + 1. Let n(w) = w**3 + 5*w**2 - 6*w. Let b(r) = -5*n(r) - 2*s(r). Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54487 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q - 6. Let v be x(9). Let k = v + -90. Calculate the remainder when k is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*g = -121*g + 86. Let d = g - 82. Suppose -3*m + 6*m = 4*w + 5723, -4 = -d*w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 4*h**2 - 2*h**2 + (3 - 2*h - 3)*(1 - 1 - h) + h**2 + h**2 - 3*h**2 + 70*h**2 - 6 + 2918*h - 2918*h.\nAnswer: 72*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 591, 896, 1201, 1506, 1811, 2116?\nAnswer: 2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/((-2268)\/432)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23103 (base 4) in base 13?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -191, -190?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126.60910225531 and -13.\nAnswer: 113.60910225531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/20 - 3*q**4\/4 - 3*q**3\/2 + 2*q**2 - 1001*q + 3. Calculate k(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**3\/3 + f**2 + 669. Suppose 0 = 2*y + 2*y - 16. Let h(l) = y*l - l - l. Calculate h(i(a)).\nAnswer: 4*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 12*u**2 + 13*u - 8. Let l be s(-13). Let z be -4 - -1 - (l - 2). Let m be 7\/z - (2 + -1). Solve 0 = -g - m + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12021, 23788, 35533, 47244, 58909?\n\"Answer: -2*z**3 + z**2 + 11778*z + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 197, 486, 1027, 1946, 3369?\n\"Answer: 21*t**3 + 142*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8 + 5 + j**2 - 6*j + 4*j - 1. Let t be c(4). Solve -d - 3*d = -t*k + 16, d - 4*k = -10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c + 2. Let y(w) = 3*w**2 - 10*w - 5. Let r = -7 - -5. Let p(d) = r*y(d) - 5*x(d). Let z(t) = -15*t. Calculate p(z(u)).\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1405, 4522, 8925, 14620, 21613, 29910?\nAnswer: 39517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -85. Let n = r - -232. What is the highest common factor of n and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13376 by -608.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/4))\/(v**(1\/10)\/v)*(v**(5\/2))**(-2\/11) assuming v is positive.\nAnswer: v**(263\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26576, -26583, -26594, -26609, -26628, -26651?\n\"Answer: -2*n**2 - n - 26573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/42 and -11\/49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f - 5. Let t(x) = 19 - 7 + 36*x - 7 + 16. Determine -21*m(c) - 5*t(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 2*k**2 + 4*k - 6. Let g be b(-5). Is (2\/(-2))\/((-2)\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -4*j + 5*x, 3*j - 2*x = 4. Suppose 20*n - 18*n + 12 = j. Let q(d) = 0*d + 4*d**2 - 3*d**2 - 3 + 8*d. Determine q(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.48 - -2.48. What is the third biggest value in 4, 2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 1 + -5 + (72 - 28 - 38)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1020 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*5 - (-1*sqrt(28) - sqrt(7)).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*m + 1040, -416 = -38*m + 36*m - 3*q. Suppose m - 190 = 9*i. Solve 5*p - s = i*s + 19, 29 = 5*p + 2*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**2\/9 - 6551380*z\/3 - 5615468\/9.\nAnswer: -(z + 2807734)*(7*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 199*w - 788*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -5, 159?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -482093.89 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 h when four letters picked without replacement from ppahafaaapafffxp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 11*f**2 + 12*f - 3. Give d(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058548426 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*s + 1 + 5 = 0, 3*l + 4 = -2*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1195 - 1200. Sort 2, -42, q, 1 in descending order.\nAnswer: 2, 1, q, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h + 7. Suppose 4*b = 3*w - 8, 2*w + 3 = -5*b - 7. Let u(t) be the second derivative of -t**3\/2 + 3*t**2\/2 - 1172*t. Calculate b*r(y) + 5*u(y).\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -62.9. Let f = p + 4.1. Which is the biggest value? (a) f (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(0 + 3 - 4). Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24110, 26878, 29648, 32420?\n\"Answer: i**2 + 2765*i + 21344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.293514 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 + 15994*v**2 - 833716*v + 10847096 = 0.\nAnswer: -16046, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uus when three letters picked without replacement from {z: 1, s: 1, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 1. Let n(l) = -7*l**2 + 6. Let o be (-2 - 0)\/((-2)\/5). Let p be 6\/(-3 + o + -3). Calculate p*u(f) - n(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 0, 9, 1\/40, -1\/3, -0.2991, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-4)\/y))\/(y**(-1)*y) assuming y is positive.\nAnswer: y**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bab0b + -5?\nAnswer: 2bab06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/11 + -1\/11. What is the closest to 6 in -1\/4, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 24*i + 4974 = 2*a, -4*i - 9930 = 2*a. Are -2484 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 + 2*m - 2. Let a be x(-2). Suppose -3*d + 98 = -a. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 10*o - 175 = -20*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) 2\/13 (c) -1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 1. Let q be g(-1). Suppose q = -u - 3. Let n be ((-38)\/(-3))\/((-3)\/u). Calculate the highest common factor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1263908086 by 90279149.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 562301424?\nAnswer: -562301424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 4*(sqrt(500) + 0 + 5)**2).\nAnswer: 800*sqrt(5) + 4206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -295618423 bigger than -295618426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.5 and 2.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*a + 6 - 2 = 0, -3*v - 6*a = -18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (235\/15)\/((-14)\/(-756)*-18).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4801 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of -14079*(-3)\/9 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227156 is divided by 9085?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51386 is divided by 140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 - 263*z**5 + 256*z**5 + 65*z**2 - 12*z + 29*z**4 + 15*z**4 - 89*z**3 = 0. Calculate z.\nAnswer: 0, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -158 + 5953. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19528417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b + 46*b = 30*b. Let h(i) be the third derivative of 1\/210*i**7 + b*i**3 - 1\/24*i**6 - 1\/8*i**4 + 0*i + 0 + 7\/60*i**5 - 10*i**2. Factor h(p).\nAnswer: p*(p - 3)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81.051 + 81. Let m = l + 0.148. Round m to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16598 - -16588.6. Which is the closest to 17? (a) t (b) -4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15.72057 micrograms?\nAnswer: 15720.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19924857101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -628.\nAnswer: -11\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3350 and 6030.\nAnswer: 30150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 1. Let x be (-15)\/(-18)*(-15)\/(-25). What is the nearest to h in -5, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 73 = -5*c, 0 = -4*f - 9*c + 11*c - 54. Suppose 0*a - 5*a = 30. What is the tens digit of (f\/12)\/(a\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + a + 0*a)*(-2*a**2 - 5 + 5) + a**3 + a - a)*(3 - 5 + 6)*(-6*a**2 + 2*a**2 + 3*a**2).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j - 212 + 1473 - 1281.\nAnswer: -9*j - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + -0.35. Let c = 31 + -43. Let r = c - -12.1. Put q, -2\/3, r in decreasing order.\nAnswer: r, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a63c - -5125?\nAnswer: -5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 312*d - 4897. What is v(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008556 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b - 3*w, -3*b + 0 = -w - 2. Suppose r - 3 = -b*r. What is the first derivative of 7 - 2 + 3 - r - j**3 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/7 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.854 and 3.34?\nAnswer: 2.85236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-6)*3 - (-9)\/6. Suppose -3*g - 91 = -o*k, -8*k + 11*k - 66 = 3*g. What is the remainder when k is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-5)\/20)\/(2\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23284210 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 273.6060262 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008219 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65769069 to the power of 1\/2, to the nearest integer?\nAnswer: 8110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -31*z + 1. Let f be (8\/16)\/((-2)\/4). Is 16 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/7)\/(5 + (-3 - 0))*(-791)\/(-14690).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbbbbobbbbbbbbbbb?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/14 (b) 2\/3 (c) 0.1 (d) 395 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t - 2*t + 9*t - 2*t**2 - 26*t.\nAnswer: -2*t**2 - 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 0 + 1 - 5*t**3 + 6*t**3 - 3 to the form z*t**3 + n + o*t**2 + j*t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91))\/sqrt(7) + sqrt(91)\/(sqrt(21)\/sqrt(3)) + 5.\nAnswer: -sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = 40. Let x be -1*0\/((-1 - 3) + 2). Suppose -q = -x*r - 5*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 26) + 9 + (-52 - -16) + 22.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 93 - 46 + 8*o as i + g*o and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 964, 3899, 8814, 15715, 24608, 35499, 48394?\nAnswer: 63299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 112. What are the prime factors of -3*(0 - o\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77988980+-0.21778\nAnswer: 77988979.78222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2, -8, -164 in increasing order.\nAnswer: -164, -8, -2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1003 - -1032. Suppose -3*z + 11 = -2*z. What is the remainder when c is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7 - 21*a + 18*a**2 - 28*a + 47*a. What is the tens digit of i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.7 + -0.5?\nAnswer: -291.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s*s*(s*s\/s**(3\/2))\/s*s*s)\/(((s**(-1\/3)\/s)\/s)\/(s**(-1)*s)))\/(s**(-1\/5)\/(s\/s**(1\/3))*(s**1\/s*s*s)**(-6\/11)) assuming s is positive.\nAnswer: s**(307\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 716, -5, 5, 4, -13.5, 2, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 52. Suppose 8*k = -9*k - 34. Calculate the lowest common multiple of (11\/k)\/(-1) - 306\/(-204) and v(0).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9)*t**(-2) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -108*k**2 + 6*k + 41. Let d(o) = o. Calculate u(d(n)).\nAnswer: -108*n**2 + 6*n + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2. Let a(t) = 5*t**2 - 20*t**2 + 10*t**2 + 3*t**2. Determine a(b(j)).\nAnswer: -98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 8*u + 15 = -2*f, 393 - 387 = 2*u for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11807706 and 7?\nAnswer: 82653942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k = 3*x + 14, 0 = 5*k + 3*x - 4. What is the common denominator of 17\/12 and (-1)\/k*29\/(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 31. What are the prime factors of (-2)\/d + 532\/36?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-16\/3)*v*v**(-29)*v**(7\/6)\/v*v**(-3\/14) assuming v is positive.\nAnswer: v**(-701\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2444428.1 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2 + 0)\/((-13)\/91). What is the thousands digit of (3 - (-23)\/d) + (-189819)\/(-147)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20085 + 20088 + 306*a - 40173.\nAnswer: 306*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 161608638 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 13671356*j - 93452987439368.\nAnswer: -(j + 13671356)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.46 - -1.26. Which is the closest to -1? (a) r (b) 6\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1591*g + 2515*g - 196*g + 4073*g - g**2.\nAnswer: -g**2 + 4801*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 373.8595ng?\nAnswer: 0.0000000003738595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:26 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.258185730390032.\nAnswer: -0.358185730390032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327560, 327579, 327616, 327677, 327768, 327895?\nAnswer: 328064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 5. Let p be i(2). Let g be (2 - 0 - 1)*p\/(-1). What is the second derivative of -37 + 23 - g*l - 5*l**3 + 14 wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 10*q + 4. Let i be j(-10). Suppose 0 = -3*u + i*u - 15. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f + 2*t - t, -5*f + 45 = -5*t. Suppose 13 + 12 = f*u - l, 0 = -4*l - 20. What is the greatest common factor of u and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 769 - 18262 = 0. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -14. Solve 17 = 4*n - l, 0 = -5*c - 4*n + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11375*y - 56897. Determine n(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23947 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 5 - 4*k**5 + 0*k**3 + 73\/6*k**4 + 0*k**2 + 23*k. Find the third derivative of a(v) wrt v.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 - -4?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 31. Does 11 divide s(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + (-11 + 2)\/36 - 7. Sort 0.22, -3, w, -5 in descending order.\nAnswer: w, 0.22, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 49235756*i\/5 - 303019958611442\/5.\nAnswer: -2*(i + 12308939)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137.2 - 137. What is the second smallest value in -5, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Suppose 3*y = -4 - 2. Let d be -1 - y - -3 - -7. Let l(t) = 10*t**2 + 1. Give d*w(m) - 2*l(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from btyjjybjtyyyyvtt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 4 = 0. Suppose -4*d = -d - 18. Suppose -d*u = -2*u. Is g > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -1\/3*t**3 - 2*t**2 + 0 + 0*t - 1\/12*t**4. Find the first derivative of k(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 5 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/7 and 54\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -73, -251, -621, -1249, -2201, -3543?\nAnswer: -5341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2926 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3979 - -1008. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9498586 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: In base 10, what is -3 - -470844?\nAnswer: 470841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - (1 - (20 - 24)) - -14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37847?\nAnswer: 37847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**4\/24 + 22*l**2. Let r(z) = 3*z. Give p(r(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -27*i**3 - 4*i**2 + 2*i + 6. Let j(d) = -d**3 + d**2 - 1. Let b(r) = 3*j(r) + p(r). Is b(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 1161, 2891, 5365, 8583, 12545?\nAnswer: 17251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 minus 78069727?\nAnswer: -78070187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from jchfr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(15 - 225 - 20)*(-2*s**3 + 4*s**3 - s**3).\nAnswer: 230*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189.41 + -192. Let g = c + 0.89. Round g to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59 * 1463.856.\nAnswer: -863.67504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000071453 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (0\/(-3))\/(-2 + 0). Sort 5, y, -29 in decreasing order.\nAnswer: 5, y, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((4 - (-28)\/(-4)) + 1)*-1. Solve -o + 5 = -m*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105305 is divided by 4627?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-933)\/(-19282)*(-1*12\/(-3))\/6?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 5 + 0*m + 0*m + 3*m. Calculate the remainder when l(5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*s + 5*y, -y + 2 = 5*s - 25. Let k(j) = -7*j - 5. Let h(r) be the first derivative of 15*r**2\/2 + 11*r - 13. What is s*h(g) + 13*k(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 19. Suppose -s*h - 17 = w - 103, 3*h = 4*w + 151. Suppose -8*t + 9*t = h. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -720*n + 134201. Determine c(187).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-26)*c**(-1\/6))\/(c*c*c**(4\/5)*c)**25)**(-17\/2) assuming c is positive.\nAnswer: c**(12359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36107083\/7735 + 79360\/17. Let y = q + 3\/35. Let n = 516\/55 + 12\/55. Find the common denominator of n and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -257 and -1542.\nAnswer: 396294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 475 or -7959?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 710 = -5*u. Let z = u - 66. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Suppose -j = -s*f + 2917, 6*f - f - 3*j = 2921. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2. Let v(i) = -4*i - 320 + 320. Let p(n) = -n - 10. Let o be p(-7). Let d(z) = 3*z. Let f(m) = o*d(m) - 2*v(m). Calculate f(x(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/19665 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h + 2. Calculate f(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -31, -1, -4, -8 in increasing order.\nAnswer: -31, -8, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**2 - 19*g**2 + 6*g**2 - 3*g**4 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.85 - -28.85. Suppose -6*r + 70 = -r. Let h = -16 + r. Put u, 3, h, -7\/2 in descending order.\nAnswer: 3, u, h, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -4 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-22)*k*k**15)\/(k**(-1)\/k*k\/(k**(1\/15)\/k)) assuming k is positive.\nAnswer: k**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 - 7*f**2 - 13*f + 7. Let k(t) = -t**3 + 2*t**2 + 4*t - 2. Give -2*c(v) - 7*k(v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -1\/5 (c) -0.1 (d) -0.3 (e) 5 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 27*u - 21. Let y be a(-14). Suppose y = 6*i + i. Solve 0 = 5*h + 2 + i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 3*v - 2 + 0)*(2 - 3 + 4 - 2 + 0 + 4 + (1 + 4 - 3)*(-1 - 1 + 3) + 0 + 4 - 6) as l + c*v and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 179. Let x be y(31). Are 0.29 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Suppose 2*k - 3 - 7 = 2*c, -d*c = -4*k + 22. What is the highest common factor of k and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t = 82*t - h + 12, 3*t + 2*h + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 10) to base 16.\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 148, 174, 220, 292, 396, 538?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 94138359 divided by 4791\nAnswer: 19649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 11. Let j be i(3). Let s = 425 + -423. Which is the third smallest value? (a) -0.3 (b) -3\/2 (c) s (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 71 - k**2 + k - 28 - 37. Calculate the smallest common multiple of y(2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 963 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z + 4. Suppose 30 = -z*l + 7*l. Calculate the smallest common multiple of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -255175 + 255174.86000256. Let u = -2 - -1.86. Let h = w - u. What is h rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -51.3.\nAnswer: 97.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 139, 109, 43, -59?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 4*d - 3*d + (-2 + 4 - 3)*(-2 + 2 + 3*d) + 20*d + 3*d - 6*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7957.1443 rounded to the nearest 10?\nAnswer: -7960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s*s*s\/(s**(-1)\/s)*s)\/(s\/s**(-1))**(13\/7)*(s*(s\/(s**1*s))\/s)**(-17\/2)\/((s\/(s\/s**(4\/9))*s)\/(s\/s**(2\/21)*s)) assuming s is positive.\nAnswer: s**(2173\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/2 - 873*r**2\/2 - 47817*r\/2 + 2410653\/2.\nAnswer: -3*(r - 31)*(r + 161)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 10*u**2 + 9*u + 6. Let z be w(-9). Let y(o) = -o**2 + 5*o + 6. Let c be y(z). Which is bigger: c or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -20*y + 6. Let c be r(1). Is c at most -105\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -271, -536, -875, -1324, -1919?\n\"Answer: -6*h**3 - h**2 - 220*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-2)*(-1372)\/5880)\/((-14)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(2)*1 - (sqrt(90)\/sqrt(5) + (sqrt(2) + sqrt(50))*1))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, -1, -15.\nAnswer: -15, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*j**2 + 0 + (6*j - 4*j - 3*j)*(-3 + 3 + 2*j))*(3*j**2 + 40*j + 4*j**3 - 22*j - 21*j).\nAnswer: 8*j**5 + 6*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.272 - -40. Let r = z + 34.372. Let n = r + -34. Is -24 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n + l - 3*l, -4*l = -2*n + 2. Let s(o) be the second derivative of 3\/2*o**2 + 1\/4*o**4 - 1\/2*o**n + o - 1\/20*o**5 + 0. Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/(-2)*3*(-18)\/81*1. Let a(m) = 2*m - 19. What is a(h)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/2*(4 - 2). Suppose 2*c - 632 + 70 = 0. Suppose -u = -4*i + c. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 7*p. Calculate z(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4578.9 - -4579. Sort 1, q, 5, -1, 3\/5.\nAnswer: -1, q, 3\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1201, 4833, 10889, 19369?\n\"Answer: 1212*o**2 - 4*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 108, 2, -4, -2, -9, 0.\nAnswer: -47, -9, -4, -2, 0, 2, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 5419?\nAnswer: 21676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 397 = -187. Let v be ((-490)\/d)\/(-1 - 1). Suppose 0 + h - v*h**2 = 0. Calculate h.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565643 is divided by 92?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65)*1*2 - sqrt(65))\/sqrt(5) + sqrt(52)\/sqrt(36)*5.\nAnswer: 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -49\/3*q**4 + 47\/240*q**6 + 0*q**3 + 0*q + 0 + 114*q**2 + 7\/5*q**5 - 1\/672*q**8 - 1\/70*q**7. Determine o so that h(o) = 0.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k - 39*k - 37*k + 105*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 2863365*n + 2863365*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - -42. Let w = 322 - i. Let r = w - 167.000453. What is r rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105397*u**2 - 367*u**4 + 4998*u**4 + 105390*u**2)*(-1 + 3 - 1) - u**3 + u**4 + u**3 as x*u**2 + r*u**3 + g*u**4 + t + n*u and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 + -0.14. Let n = -4.6 + x. What is the closest to -1 in 4\/7, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**3 + 2*n**2 - 9*n + 2. Let x(u) = -26*u**3 + 7*u**2 - 28*u + 7. Let o(i) = -7*q(i) + 2*x(i). Find the second derivative of o(z) wrt z.\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870.327 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -44348060*-0.02\nAnswer: 886961.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10356 or 838796\/81?\nAnswer: 10356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 137. Let a be y(-11). Solve -5*s = 5*i - i - a, 4*i - s = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 111. Let d(n) = n**2 - 2*n - 3. Let v be d(3). Is w(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-119)\/35 - 6\/(-2). Let h = 1.3204 - -0.6796. Which is the fourth biggest value? (a) -7\/16 (b) n (c) h (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -182, -5, -2, -3\/14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*i + 1456 = 704*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-340)\/(-13260))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33393500 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/16 - (-1270)\/80. Solve -2*v = 3*k - 3*v - g, -v = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339*o**3 + 3*o**2 - 4*o + 67.\nAnswer: 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 101, 158, 213?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**2 - 870*s - 10621. Give p(-57).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 5 - 15 = 0. Let o be 2\/(p\/15*(-6 - -11)). Solve -k - 21 = 5*i, -4*k = -2*i - 29 + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77, -67, -57, -47?\n\"Answer: 10*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6353*b - 90*b**2 + 90*b**2 + 2*b**3 - 6378*b.\nAnswer: 2*b**3 - 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**4\/5 - 13552*l**3\/5 - 335274*l**2\/5 - 2463494*l\/5 - 5654572\/5 = 0. Calculate l.\nAnswer: -1669, -14, -11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21277 - -21278. Is g at least 1\/1909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 9*l**2 - 11*l + 13. Let i be s(-10). Let h = -14 + i. Let q = 17 - h. Solve -4*v + 0*v = -q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14365996 rounded to 3 decimal places?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10365.\nAnswer: 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -724 + 720. Let p be 17 - 2\/4*0. Which is the third biggest value? (a) 0.4 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669237028 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53 (b) -9\/7 (c) 19 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.028 and 1.94636870198?\nAnswer: 1.97436870198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/258820 and 143\/96.\nAnswer: 6211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 226540*r + 1359239. Calculate y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -139\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/7131 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**2. Let j(q) = 104 - 160 - 144 - 417*q**2 - 420*q**2 + 840*q**2. Determine j(o(s)).\nAnswer: 243*s**4 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -0.09, -146, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -546, -5, 1, 3.\nAnswer: -546, -5, -2, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 7. Suppose b*o = -2*o + 80. Does 10 divide (-20)\/(-10) + (o - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + 10 + -4 - 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*r = -4531*r - 58890 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 505\/(-120) - -1 - 2\/(-6) and -7\/59?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 divided by -557476?\nAnswer: 129\/278738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31483 and 336965.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00932715466 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2107*d + 1419*d - 22188 = -1204*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558 = -80*d + 187 + 1845 + 3050 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -227169436 or -227169440?\nAnswer: -227169436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 2618?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17911910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -4, -0.05, -2, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -242485 and 0.7785804.\nAnswer: -242484.2214196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 12. Let t be d(-6). Let f = t - 4. What is the lowest common multiple of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1965, -10, 14 in decreasing order.\nAnswer: 14, 3, -3, -10, -1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13030 - -3300200311?\nAnswer: 3300121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/17, 1.4, -0.02 in descending order.\nAnswer: 1.4, 5\/17, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((sqrt(9)*-1)\/sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22 + 2 - (-7 + 9). Let i = 44 + -63. Let d = w + i. Solve 3 = 2*j + j - d*h, 3*j - h - 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -44. Suppose 0 = -2*a - 4*m + 36, -a + 2*m = -o*m - 11. Determine x so that 66 - 66 - x**2 - a*x - 3*x**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u + 80*u - 3*v + 205 = 0, 3*u = -4*v + 152. Suppose 23 = -j - 7. Let o = -17 - j. Calculate the greatest common factor of u and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 2 (b) 0.1 (c) 3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.1. Let k = 22.04 + -22. Let y = 0.96 + k. Which is the nearest to y? (a) -2 (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9663, 10375, 11087, 11799, 12511, 13223?\n\"Answer: 712*z + 8951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 3 (c) 1\/8 (d) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97\/33 + 601\/187. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9081757.07 to the nearest 10000.\nAnswer: -9080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248533, -248529, -248523, -248515?\nAnswer: -248505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -35.7. Which is the third smallest value? (a) 0.3 (b) 13 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19378964 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*((-16)\/(-84))\/(1\/((-84)\/24))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920 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 y(i) = -i**3 + 6*i**2 - 5*i + 3. Suppose 0*w - 1 = w, 2*j + w = 9. Is y(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 2*i = -11710. Let m be i\/3 + 4\/(-6). List the prime factors of (-4 + 5 + m)*4\/(-8).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:13 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/17))\/h)\/h**(3\/4)*(h**(-2\/5)*h)**38 assuming h is positive.\nAnswer: h**(7477\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -105720000 rounded to the nearest 1000000?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 50*b + 192. Let l be i(-41). 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 z = 1759\/4 - 440. Which is the fourth smallest value? (a) 4\/3 (b) z (c) 3 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5625 * 0.3.\nAnswer: -0.16875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**5\/15 + f**4\/6 - 4*f**3\/3 - 7*f**2 + 4. Let m(y) be the second derivative of t(y). Let m(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.14 + -1.7. Let n = -0.26 - u. Suppose -5*o + 0*o - 5 = 0. Which is the nearest to o? (a) n (b) -1\/12 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152256 (base 7) in base 5?\nAnswer: -1422022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 5, o: 5, c: 4, p: 3}. Give prob of sequence op.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/50*(-5)\/3724. Let a = 4\/111467202743 - -50331789259222517\/4151038630149320. Let j = a + p. Calculate the common denominator of j and -55\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-496)\/(-28) + 4\/14. Calculate the highest common factor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let i(f) = -4*f**2 + 3*f**2 + 3*f**2 - 4*f**2. Calculate i(h(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 811*q**2 + 9*q + 899. Let g(r) = 203*r**2 + 2*r + 225. Let h(l) = 9*g(l) - 2*t(l). Differentiate h(i) with respect to i.\nAnswer: 410*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 159?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 16 (c) -38 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (612745\/1050)\/287*30?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 6130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 0, -4 in descending order.\nAnswer: 1, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j - 4. Let p be x(-5). Suppose -y = -p + 9. Suppose -3*c - 5 + y = 0. Solve 3*v + 18 = -s - 0, 3*v + 3 = c*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - 27*j - 4. Let r be w(-9). Let c(n) = -n**2 - 2*n - 3. Let s be c(-2). Is r greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14462 to the nearest one hundred.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2391158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 9*k**2 - 5*k + 6. Let y = 3 + -12. Let m be v(y). Calculate the highest common factor of m and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10470 to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*r = -147, i = 4*r + 11 + 53. Suppose 7*y - 4*y = 12. Calculate the highest common divisor of i and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcci when four letters picked without replacement from iiinxiirciininnc.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*((-1 + 0 - 1)*(4*k**2 - 3*k**2 + 0*k**2) + 4*k**2 - k**2 + 2*k**2 - 7*k - k**2 + 7*k + (1 - 2*k - 1)*(-2*k - 2*k + 3*k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 244, 2, 4, -109, -5 in descending order.\nAnswer: 244, 5, 4, 2, -5, -6, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1299 - -2128. What is the remainder when j is divided by 277?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2174*t**2 - 10*t - 41629?\nAnswer: -4348*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:47 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = -25. Suppose -s - c*d = 0, s + d = -4*s + 24. Solve x - s*x + 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45)\/10*8\/(-6). Suppose -9 = -4*x - 1. Solve a = x*m - 0*m, -5*m + 13 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -469850.\nAnswer: -469838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*m = 152*m + 120. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*(-64)\/16. Let n be 20\/(3 - 1) + 0. Suppose n*f = q*f + 180. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 481*j + 18064. Calculate x(41).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 28059567?\nAnswer: 308655237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -22, -42, -76, -130, -210, -322, -472?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -611, 0.5, 2\/9, 35?\nAnswer: -611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nineteen quarters of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 5*m**2 - 4*m + 4. Suppose 0 = x - 11 + 3. Let p be v(x). Let b = p - -347. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**3\/5 + 21*n**2 - 27*n\/5 = 0. What is n?\nAnswer: -9, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b)**(-3\/8)*(b\/b**4)\/b**(-8)*(b**13\/b**7)**(-5) assuming b is positive.\nAnswer: b**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6746, -13508, -20274, -27044, -33818, -40596, -47378?\nAnswer: -54164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 38. Suppose -o*a = -3*a - 3. Solve -v - 3 = 3*q + 15, a = -2*v + q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 33\/29, 16, 4 in ascending order.\nAnswer: 0.1, 33\/29, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3931\/9 - 437. Let g = -2 + -2. What is the closest to f in g, 3, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -17*y**3 - 12*y**2 + 23*y + 96. Calculate the remainder when z(-2) is divided by (-3)\/(-9) - 122\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1\/6*a**6 + 0*a**4 + 182\/5*a**5 - 41*a + 0*a**3 - 9 - a**2. What is the second derivative of s(c) wrt c?\nAnswer: 20*c**3 + 2184*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 230*c. Let q(y) be the first derivative of 5*y**3\/3 + 1980. What is q(r(g))?\nAnswer: 264500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -31. Let h = -7 - g. Calculate the smallest common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14158*w - 248. Let p be l(6). What is p rounded to the nearest one thousand?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/117, -1\/5, 5 in ascending order.\nAnswer: -1\/5, -2\/117, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/g**3*g)\/(g\/(g*g**(-1\/20))*g))**(-39))**(-9\/8))**(-2\/43) assuming g is positive.\nAnswer: g**(7371\/3440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l**3 + 2*l**2 + l - 2. Let a be d(1). Suppose 300 = a*t - 5*t. Solve 2*o - 15 = -t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + 96.013?\nAnswer: 96.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1211346, -2422690, -3634034, -4845378, -6056722?\n\"Answer: -1211344*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80348 + 122237. Let d = -29789 + n. Round d to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 77*h**5\/20 - 13*h**4\/2 + h**3\/3 - 452*h**2. Find the second derivative of p(u) wrt u.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 73*y - 132*y + 243*y)*(0 - 1 - 1).\nAnswer: -76*y + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206292 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - 3*u**2 + 3*u**2 + (u - u - u)*(-u + 2*u + 0*u)*(-1 - 1 + 3)*(2 + 1 + 2) to the form g + r*u + s*u**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476 + 2*b**3 - 2*b**3 + 4*b**3 - 470 + 946.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10)*20\/(-24)*26. Are 21 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74255330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 452?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 6) to base 8.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*i + 2849 = -1375. Calculate the remainder when 80 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 8:44 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggzggggg. Give prob of picking 1 g and 1 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7*l - 12*l + 2 = 0, -5*y + l - 5 = 0. What is the closest to y in 25, 30, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 253*a + 5007229 = 420255. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 94.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 562045 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a**5\/5 - a**4\/12 - 6*a**3 + 71*a. Find the second derivative of h(b) wrt b.\nAnswer: 48*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/13)*v**(2\/5))\/(v**(-1)*v**(1\/3))*v\/((v**(4\/7)\/v)\/v)*v**(-3\/7)*((v\/((v*v*v**2)\/v*v))\/v*v)\/v**(-1\/4) assuming v is positive.\nAnswer: v**(907\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4) + 6\/8. Suppose -b = -p*b - 208000. Suppose -v + 5*v + b = 0. What is v rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - 14\/(-21). Solve b*n = 3*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t**4 - 55*t**3 - 25*t**2 + 10*t = 0. Calculate t.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 92. Let d be (-1)\/(-2)*(-34)\/1. What is the hundreds digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 57*s**2 + 91*s - 14. What is the hundreds digit of h(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 0 (c) 2 (d) 74.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10220022022 + -1?\nAnswer: 10220022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339 - -344. Solve -3*k = z - 16 + 6, c*z + 15 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/36*18*2\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 183530, 365863, 548198, 730535?\n\"Answer: k**2 + 182330*k + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, -147, -443, -849, -1359, -1967?\n\"Answer: d**3 - 64*d**2 + 5*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 74, 93, 110?\n\"Answer: -h**2 + 24*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*j - 122*j - 178*j + 5752 = -177 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + 842\/(-6). Is -1*2*h\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agegbbeae. What is prob of sequence bagg?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clcl when four letters picked without replacement from {a: 4, c: 1, f: 1, e: 4, l: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/54 and -26\/21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1259, 4, -3\/4, 1\/6, -0.06, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1442 + 1875. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61854962*t**2 - 200376689*t wrt t?\nAnswer: 123709924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*k - 4*v - 41, 37 = -4*k - 5*v. Suppose -5*x + 4 = -x. Let o be x - -3*(-3)\/9. Which is the closest to 1? (a) k (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 50*a**2\/3 + 136*a\/3 + 8.\nAnswer: -2*(a - 2)*(a + 6)*(6*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 1)*(186\/30 + -5). Let i(d) = -d + 5. Let k be i(g). Let s be (2 + -3)\/(k*(-3 - -2)). What is the nearest to -0.1 in -3, s, -9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 292*b - 279*b + 2*j + 26, -3*b + 5*j = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/6583 and 50\/13833.\nAnswer: 3140091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 - 4*u. What is v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by 115?\nAnswer: 162\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1152 and -95\/24.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/30 + (-33)\/(-6). Calculate the greatest common factor of 145 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-1)\/(2\/(-10)). Let v be 0\/k - -8*2. Suppose -4*g + z - 16 = -2, -2*g - 4*z = v. Is 2 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/15 - 2\/(-3). Let d be -3 + t - (1 + 0). Suppose -l + d*l - 65 = 0. List the prime factors of l.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.2. Let g = -0.181 - n. What is g rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))**(3\/28)*((l**(-7)*l)\/l)\/l**(3\/4) assuming l is positive.\nAnswer: l**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 10*j - 9. Let o(c) = c**2 - 7*c + 2. Let r be o(5). What are the prime factors of s(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(180)*4.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -225403 (base 6) in base 15?\nAnswer: -5b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1299*x + 33014. Determine h(-24).\nAnswer: 1838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 9*k**2 - 4*k - 1. Let z(r) = r**3 + r**2 + r. Let d(v) = -a(v) - 4*z(v). Determine d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let a = -47\/14 + 827\/238. What is the third biggest value in a, -1, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v*v**(-5)))**(2\/143) assuming v is positive.\nAnswer: v**(14\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -501198 less than -467.9?\nAnswer: 500730.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -10, -2, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2835 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*i + 36*i - 108*i - 131*i - 7650 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38019 + -37457.98. Let o = 568 - l. Let a = 0.12 + o. What is a rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 3. Let f be s(5). Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*(-5)\/15*3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93508111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 82877990*t + 82877995 = 0 for t.\nAnswer: -16575599, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(135) + ((-5*sqrt(135) - sqrt(135)) + sqrt(135) - sqrt(135) - sqrt(135))*-3)\/sqrt(9))\/(-3*sqrt(363)*6))**2.\nAnswer: -400\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1684)\/(-21) + (-1)\/3. Let s(n) = -3*n**3 + 1. Let z be s(3). Let x = q + z. Is x at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13811 = -44*r + 13019 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -894, -1250, -1838, -2658, -3710, -4994?\nAnswer: -6510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 - 2*q. Let l(m) = m**3 - 4*m**2 + 3*m + 3. Let t(d) = -2*d - 7. Let u be t(-5). Let c be l(u). Is 30 a factor of f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/28 + (-1518)\/264 - -6. Factor c*h - 216\/11 + 18\/11*h**2 + 2\/11*h**3.\nAnswer: 2*(h - 3)*(h + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from malarxnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 1389*g + 2414*g - 1352*g to r*g + m and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.1, -5, -22\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 + 144?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 84*p**2 + 27*p - 187. Is x(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 549 + -543. What is the third smallest value in 3, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 1\/7, -7, -0.5, -0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 107999985\/60 - (-1)\/4. Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -12. Let g be 66\/(-11)*(-3 - b). Is (573\/g)\/(4\/16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 18. Let n be x(6). Suppose n = 3*u + u + 3*d - 288, 4*d = -4*u + 288. Calculate the greatest common factor of 27 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -1077.6181.\nAnswer: -1077.6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 8 + 0 + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 486, 394, 336, 312, 322, 366, 444?\n\"Answer: 17*a**2 - 143*a + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20a8a47 + -7?\nAnswer: -20a8a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 1, b: 2, c: 1, p: 1}. What is prob of sequence bcu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -12989719\nAnswer: -3896915.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197876389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 4*p + p - 5*p + 2*p + (3*p - p - 3*p)*(3 - 2 + 1) + 3 - 2*p - 3 + 4*p - 3*p + 4*p + 0 + 0 - 2*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*s. Suppose -5*v - 3 = -s*p + 7, 0 = 5*p - 3*v - 22. Calculate the lowest common multiple of p and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -3635 (c) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -32*q - 3*q**2 + 55*q - 29*q = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a factor of 194281740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2354676973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/1125 and 149\/429750.\nAnswer: 429750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 - 1 + 1 + (-s - s + 0*s)*(5503*s + 7959*s - 4459*s + 14568*s).\nAnswer: -47145*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -2)*(187 + -210 + 594\/30)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -33\/254 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112233123 (base 4) in base 9?\nAnswer: 151686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 255757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -949 or -948?\nAnswer: -948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434169 and 1539.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, i: 1, e: 2}. What is prob of sequence ei?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3 + 9885*j**2 - 8313000*j + 278974500 = 0?\nAnswer: 35, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 60*s**2 - 47*s - 14. Let z be u(-2). What is the third smallest value in z, 2\/25, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353400 (base 6) in base 2?\nAnswer: -111011110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:35 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 1334.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -605 - -36?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18532*q - 21862 wrt q?\nAnswer: 18532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -12) + 0 + 1 - -15 - 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s + 51. Let n = s + -4. Calculate the common denominator of n and 2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 4:40 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2*y**2 + 2*y**2 - y**4) + (11 - 107 + 39)*(-4*y**4 + y**4 + 0*y**4).\nAnswer: 169*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158790444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -12. Which is the closest to k? (a) 1\/3 (b) -0.5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85598 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252458232 is divided by 345?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20512193*o + 20512196. What is y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 6 + 22 - 19 - 2*u + 43 + 44.\nAnswer: -2*(u - 6)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4296575520 to the nearest integer?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 17 + 21 = -3*w, -l + 11 - 13 = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/79850 and -103\/1700.\nAnswer: 2714900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1200 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -17, -4 in descending order.\nAnswer: 10, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19804?\nAnswer: 2, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 380, 763, 1148, 1535, 1924, 2315?\n\"Answer: g**2 + 380*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 50. Let p(g) = 40*g**2 + 9*g + 14. Let s be p(q). Let d = 3901 - s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -887197*t**5 + 127*t + 18211 wrt t.\nAnswer: -17743940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2)**24)**(-43))**(20\/9) assuming x is positive.\nAnswer: x**(-13760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/(2 + 726\/(-154))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 5 (c) 647 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c - 17. Let x be f(-5). Suppose -4*j = 4*u - 64, x*u - 4*j = 70 - 22. What is the second derivative of -12*g**3 + 6*g + 12*g - 5*g**3 - u*g wrt g?\nAnswer: -102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2024312 (base 5) in base 4?\nAnswer: 20010322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**(-38\/7)*v\/(v*v**(-2\/5))*v*(v*(v\/(v**2\/v))\/v*v)\/v*(v**(-1\/4))**(-11\/2)\/(v**(-1))**(2\/91) assuming v is positive.\nAnswer: v**(43\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + 6*r - 15*r to o + l*r and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 14 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r - 2*r**2 + 3*r**3 - 2*r**3 + r**4 + 0*r**3 in the form j*r**2 + b*r + t*r**3 + q*r**4 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -23191 less than -5263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = d - 2*d + 3*o, -o - 13 = -3*d. Calculate the remainder when 1 - d - -2 - -23 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013594 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**(-2\/5))\/f*f*(f*f**(-3))\/f*f*f)**(5\/4))**(-1\/20) assuming f is positive.\nAnswer: f**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/2 - 2*w**3 - 3*w**2. What is the remainder when u(6) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3 - 96853*h**2 - 2685987*h - 2 wrt h?\nAnswer: 12*h - 193706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-28)\/(-140))\/(1\/(-5)))\/((-3)\/4219491) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65136, 65165, 65198, 65235?\n\"Answer: 2*f**2 + 23*f + 65111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1877092 divided by 4\nAnswer: -469273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - ((-11 - -15) + -16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*o + 39*o + 80. Solve -o*g - 10 = -45*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {h: 2, d: 3, u: 4, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 71.9, 0.1, -2\/5, 0.5, -486, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -163 divided by -87\nAnswer: 163\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -426, 5, -10 in ascending order.\nAnswer: -426, -10, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w - 2. Let h(q) = q - 1. Let k = 4865 - 4870. What is k*h(b) - u(b)?\nAnswer: b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35262486 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573) + -1 + 2*sqrt(1573)*1)**2*-2 + ((sqrt(7488) - (sqrt(7488) - -2*sqrt(7488)))\/sqrt(4))**2 + 0 + 3.\nAnswer: -20831 - 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4572613072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-24) + 122\/8. Let f = i + -8. Suppose j + f = 3. What is the second smallest value in j, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198609 (base 10) in base 14?\nAnswer: -52545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10545, 10536, 10527, 10518?\n\"Answer: -9*g + 10554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2042*t - 1529. Is 75 a factor of z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13853a5 (base 14) in base 12?\nAnswer: 3205385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 4, b: 3, f: 2, c: 1, k: 6}. What is prob of sequence cfdi?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.236 * -35\nAnswer: 8.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29079712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:30 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -38*n + 71. Suppose -n*g - 4*c = -268, -2*g + 8*c - 9*c + 139 = 0. What is the smallest common multiple of g and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, 2\/7, -0.3, -0.05?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/((-243)\/(-59514)) + 32\/(-144).\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5) - -8 - 3. Suppose -w*r + 8 = 4. Solve 4*i - 3 = r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = -5*k - 0, 4*u - 6 = 5*k. Suppose 8 = 2*z - u. Suppose 5*y = 0, -3*d + 4*y + 55 = 2*d. Calculate the least common multiple of d and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 - 101?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {w: 3, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/11919823 or 1?\nAnswer: 11\/11919823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109.93 + 111. Let p = r - 0.07. Let h = -5 - -3. What is the closest to 0 in p, h, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -3*a**5\/100 - 11*a**4\/30 - 37*a**3\/30 - a**2 + 2*a + 61. Factor p(q).\nAnswer: -(q + 2)*(q + 5)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 100*c - 53. Let f(t) = 2*t**2 - 34*t + 5. Let q be f(17). List the prime factors of m(q).\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281129.\nAnswer: 3, 427043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 258930*z**2 - 5578248051*z + 380519103084.\nAnswer: -3*(z - 68)*(z + 43189)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -69. Let x = -4 + 19. What is the greatest common factor of x and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.377 + 13.623. What is the smallest value in 4, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (150\/(-20) + 7)\/(2\/(-28)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*b - 2, 3*b + 0*d - 19 = -d. Suppose 2*y - 5*w + 0*w - 11 = 0, b*y - 5 = 5*w. Let l = -0.05 + -0.25. What is the nearest to 1\/2 in l, -2\/11, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 2*d**2 - 13*d - 5. Let w(x) = 4*x**3 - 5*x**2 + 27*x + 11. What is 5*t(r) + 2*w(r)?\nAnswer: -2*r**3 - 11*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 9 = -7133*g + 7134*g, 2*g - 12 = s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/(9\/(-99)). Let a = 4 + g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 12, 4, -20, -66, -140?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48354 and -125?\nAnswer: 6044250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -53359 times 4\nAnswer: -213436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/2 - 2*q**4 - 3*q**3 + 2*q**2 + 5*q\/2.\nAnswer: q*(q - 5)*(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2969517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 1, j: 1, v: 1, y: 1}. What is prob of sequence cj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 11a64?\nAnswer: -11a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 - 133.5. Let m = x - -133.78. Let v = m + 0.22. What is the nearest to -0.1 in -5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufff when four letters picked without replacement from {x: 2, f: 4, u: 2, b: 12}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.6 + 68.6. Which is the second biggest value? (a) -4 (b) p (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -323 - -320. Let l = a + 4. What is the second biggest value in 3, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01292920977 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101011100 (base 2) in base 7?\nAnswer: 15646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3510 and 390.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -511, -5, -1\/5, 4\/67, 6\/7, 0?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14150, 14791, 16534, 19931, 25534, 33895, 45566, 61099?\n\"Answer: 92*n**3 - n**2 + 14059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, -227, 1\/270, -5?\nAnswer: 1\/270","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2051833m to nanometers.\nAnswer: 205183300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 132 = -64*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 34. Suppose q = 2*a + 235 + 647. Let s = -291 - a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2512 - -5921. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**2\/(j\/j**(-1\/2)*j**(1\/4)))**41 assuming j is positive.\nAnswer: j**(-287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70, 71, 70, 67, 62, 55?\n\"Answer: -m**2 + 4*m + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*l + 440 - 27 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1694) + sqrt(1694) + (5*(sqrt(1694) + sqrt(1694)*2) - sqrt(1694)))*-5)\/(5*(sqrt(8) - sqrt(32)\/sqrt(4)*-4)).\nAnswer: -88*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*u**3 - 102*u**3 + 1584*u**3.\nAnswer: 2825*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (10 - ((7 - 9) + 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) 1 (c) 2\/17 (d) 2 (e) -2 (f) -4104\/317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6265 is divided by 3132.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 123212000 to the nearest one hundred thousand.\nAnswer: 123200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 419 - 418.88. Sort i, -4, -1\/4 in decreasing order.\nAnswer: i, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44959.76mg?\nAnswer: 0.04495976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 20*f - 202 = -229 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 14*j - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 6*y**2 - 6*y + 4. What is i(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:11 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359 - -376 - (-1 + -5 - (-27 + 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.1586494 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*k - 114, -60 - 69 = -2*b - 3*k. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28836 = -20*b + 38*b. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 225*y**2 + 7650*y - 8. What is v(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 986*c + 93*c.\nAnswer: -893*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.4 (b) -2 (c) 0.8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o - 87. Calculate the remainder when 800 is divided by k(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:52 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -598*q + 613. Is p(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, 0, 4, 144.\nAnswer: -21, -5, 0, 4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636436 is divided by 4636423.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32, -2\/19, 10, 2\/17?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 35*c + 31. Give x(-36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*24\/16)\/((-60)\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*a - 2*a - 7695896 = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/4744 and 79\/1091120.\nAnswer: 1091120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15049868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2168401 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.08 (c) 5 (d) -2 (e) -0.114 (f) -2\/9 (g) -4\/77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.389574 + -0.035026. Round z to 1 decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 2 + 4*l + 10*l - 16*l - 11*l + 59*l**2 to k + o*l**2 + x*l and give o.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -132, -4, 4, 1706 in ascending order.\nAnswer: -132, -4, -2, 4, 1706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.34096 + -0.43496. Let n = 48 - l. What is n rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16155035 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 12*z + 23 = -3*v, -4*v = -z + 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-39)\/26)\/((-1322)\/(-1328) - 1). Suppose -a - a = -3*t - q, 5*a - 4*t - 823 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34244039.\nAnswer: 43, 796373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.70235 and -1521.33.\nAnswer: -1522.03235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74253, -74051, -73851, -73653, -73457, -73263?\nAnswer: -73071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -34. Calculate the least common multiple of 12 and ((-6)\/(-5))\/(1\/l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 37, 2.\nAnswer: -1, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -1\/12*j**3 + 0*j + 1\/240*j**5 + 1\/2*j**2 - 1 - 1\/96*j**4. Let h(p) be the second derivative of q(p). Factor h(o).\nAnswer: (o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/10)*s\/(s*s*s*(s\/s**(-1\/5))\/s)*s)\/(s**0)**(-33\/5)*(s**0\/s*s*s)**6*s**(-3\/2)*s\/s**(-8)*s assuming s is positive.\nAnswer: s**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/7)\/((((t\/t**(-12))\/t*t)\/t)\/t))**(-1\/17) assuming t is positive.\nAnswer: t**(83\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3214698 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -986, -1476, -1930, -2336, -2682, -2956, -3146?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 0, -5*l = -3*r - r + 8. Let n be (r - (-4)\/(-1))\/9. Which is the closest to -0.1? (a) n (b) -0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b + 8?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 + 13\/4. Suppose -q + 59 = 3*o - 2*q, -s*q = -2*o + 37. Let a = -12 + o. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (832*d - 1419*d - 343*d)*(-d + d + d**4) - 4*d**5 + d**5 - 2*d**5.\nAnswer: -935*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 53 * -1251\nAnswer: -66303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4074 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -117?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/29 (b) -5 (c) -384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1900449110.2 - 1900448622.19999857. Let r = z - 488. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + ((sqrt(1300) + -1 + sqrt(1300))**2 - (sqrt(1872) + 1)**2 - (2 + 5 + -2 + sqrt(13)))).\nAnswer: -3322 + 65*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 1\/4 (c) 1.6 (d) -2\/3 (e) 1277 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1507720902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 2320*u**2 - 49 + 1181*u**2 - 38 - 3*u**3 + 1139*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 40.12. Let r = -0.6 + -2.4. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 5. Let d be o(0). Let z(f) = 4*f**2 - 5*f - 7. Let n(v) = 15*v + 2*v**2 - 26*v + 6 - 5*v**2 + 15*v. Calculate d*n(t) - 4*z(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.4 (c) -821\/30 (d) -4\/7 (e) -1\/3 (f) 0 (g) -1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**3 - 5*s**2 - 2*s - 3. Let b(q) = 33*q - 4 - 6*q**2 - 32*q**3 + 35*q**3 - 35*q. Calculate -5*b(n) + 6*d(n).\nAnswer: 9*n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + 2*u)*(3*u - 3*u + 2*u) + 4*u**2 + 4*u**2 - 6*u**2 - 10*u**2 - 13*u**2 - 5*u**2 - 2*u**2 + 0*u + 0*u + 3*u**2 - u**2 + 4*u**2.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -103.4 > 8039.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 13. What is the tens digit of (-3624)\/(-104) + d\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2520005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 - b - 1. Let n be d(-5). Let x(y) be the second derivative of -y**3\/6 + 11*y**2\/2 - 453*y - 5. Give x(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a + 543 - 268 + 20*a - 275.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 1\/12*k**4 - 1\/105*k**7 + 0*k + 1\/168*k**8 - 1\/3*k**3 - 1\/30*k**6 + 0 + 1\/15*k**5 - 6*k**2. Determine q so that d(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -37.6. Let p = 0.6 + f. Let t = -75\/91 - -7\/13. What is the third smallest value in 0, -0.1, t, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/(-15))\/(-3 - 128\/(-40)). Is 15 + p - ((-4)\/(-2) - 1101) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + -0.7. Let j = -11.16 + 0.16. Let f = j + 10. What is the third smallest value in r, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.75 - -1.05. Let x = -10.15 - -14.15. Which is the closest to 0? (a) x (b) 1\/4 (c) -2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 473372*m**2 - 4734120*m.\nAnswer: 4*m*(m - 10)*(m + 118353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 20*c + 15. Suppose 24*z + 0*z = 360. Let i(n) = 3*n + 2. What is z*i(u) - 2*f(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6717243378*p + 6717243378*p - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220 (base 3) to base 6.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let k(u) = 666*u**2 + 8*u + 17. Give k(v(m)).\nAnswer: 666*m**4 - 8*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245020 - -40?\nAnswer: -244760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.8 to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -200480 divided by 1253?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 14, 1406\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -773 - -6169\/8. Suppose 4*s = 2*p + 6, -2*p = 5 + 5. Let q be ((2 + -3)\/s)\/(-1). Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18842533\/55493865 - -2\/258111. Let r = 6\/43 + h. Let m = -2 - -1.9. Put 5, m, r in descending order.\nAnswer: 5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 11}. Give prob of picking 2 s and 2 a.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20034076 times 24?\nAnswer: -480817824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 13*m = -450. Calculate the highest common divisor of 250 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-18))\/((-6)\/288*6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -20. Let l = 3 + -3. Put l, 1\/8, o in increasing order.\nAnswer: o, l, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 38*o**2 + o - 4 - 8 + 0.\nAnswer: -38*o**2 + o - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(3\/2)*u*u**(1\/4)*u)\/(u**(3\/2)\/u**1))\/(((u*u**(2\/11))\/(u**6\/u))\/((u*u\/u**(-1))\/u**(-2\/5))) assuming u is positive.\nAnswer: u**(2523\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(4\/56). Suppose -5*f = 2*c - 6*c + 35, 2*c - 4 = -2*f. Let a = f - q. Solve a*x + 15 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, h: 7, p: 2}. What is prob of sequence yypp?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111157, -111150, -111137, -111118?\nAnswer: -111093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = 0, -q - 7 = 4*l + 9. Suppose f + q*f = 3. Solve -f = 5*u + 2*y, -y + 3 = u - 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -21. Let k be 4\/q*9\/6. Suppose 4*b = -k*b + 234. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 5, h: 3}. Give prob of picking 1 m and 1 d.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4220 + 0?\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, a: 3}. Give prob of sequence za.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/20 + 5*s**4\/12 + 4*s**3\/3 - 7*s**2\/2 + 4*s. Let g be k(6). Let a be 88\/170 - 4\/10. Put g, -0.3, a in ascending order.\nAnswer: -0.3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0 - v - 1 + 10*v - 4. Let t(x) = x**2. What is u(t(j))?\nAnswer: 9*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -197, 3, -1\/9 in descending order.\nAnswer: 3, -1\/9, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/113 + 7003\/2260. Find the common denominator of -107\/304 and u.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -16 + 5 + -29\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12\/9*1*7218\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86838783 and 0.4.\nAnswer: 34735513.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 13*q**2 - 4. Let h be f(6). Let d = h - 129. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*l**3*v**2 + 702*l**3 - 341*l**2*v - 3520*l*v**4 wrt v.\nAnswer: 22*l**3 - 42240*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205387 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -31*h**2 + 9*h + 1. Let o(y) = y**2 - y. Give 2*d(v) + 18*o(v).\nAnswer: -44*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 222*(-17022)\/(-27) - (-5)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/184824 and 73\/33824.\nAnswer: 5175072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 14 = 14*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -197. Suppose 2*g = -8 + z. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/6 - n**2 - 1176*n. Suppose 34 = -4*l - b - b, -3*l + 2*b = 29. What is y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*m - 1 = 0, -341 = 2*i + m - 345 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 - -6 - (-3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 1970 - 1994 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/(1 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 2*d + 1. Let l(v) = -v**2 + 2 + 8*v - 12*v**2 - 6. Let t(m) = -9*a(m) - 2*l(m). Let f be t(1). Solve 0*h + 4*h + 4 = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*u - 201*u - 332*u)*(u - u - u**2)*(3 - 3 + u)*(2 + 3 - 6).\nAnswer: -644*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.056 + -26.556. Let r = 21 + t. Let m = r - -6. Which is the smallest value? (a) m (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 42. Let t = 1 + 9. Let c be 5\/((0 - -2)\/t). What is the highest common divisor of c and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -121, -319, -689, -1285, -2161, -3371, -4969?\nAnswer: -7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/552 - -635\/7912. What is the common denominator of 163\/30 and h?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30594881 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15792473 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) -0.3 (d) -1 (e) 0.4 (f) 541\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-112)\/3640*(-15)\/(-6). Which is the nearest to k? (a) 2 (b) 3 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 21, -4, -65?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 180.812um?\nAnswer: 180812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-10)\/5)\/(9\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 6, -8\/7, 2\/5, 0.7, -4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.72365 and -3.\nAnswer: -11.17095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -1130, -3023, -5682, -9107, -13298?\nAnswer: -18255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let w = 2\/535 - -1056\/3745. Let y = 33.9 - 34. What is the closest to w in -0.2, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/27 - (-12)\/(-27). List the prime factors of (170\/15)\/(s\/(-9)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + (3 - (3 + 2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20841734 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (78\/(-8))\/((-1)\/(-4)). Let u = q + 83. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 54 = 21*k. Let t = 4 + -9. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6873, 27579, 62109, 110463, 172641, 248643, 338469?\n\"Answer: 6912*k**2 - 30*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 44. Solve 2*h = 6*h - 16, u*o + 4 = h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74585, 74651, 74717, 74783, 74849, 74915?\nAnswer: 74981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (0 + -5 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655020593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187*m + 1166 = -1240*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 53*u**2 + 169*u - 11. Let m be h(-10). What is m rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4*m - 12*m)*(-m + m - 2*m**2).\nAnswer: 16*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -127.7 and 388.\nAnswer: -49547.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 10*c - 4*c - 37*c)*(2 + 0 + 14) in the form p*c + o and give p.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 6*u**2 - 2*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - k)*(-10 + 21 + 21).\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3871395 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*r - 42 = 5*j, 0 = 5*j + 4*r + 35. Let z = 90 - 85. Let y be (2\/(-2))\/((-1)\/z). Sort y, j, -1 in decreasing order.\nAnswer: y, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6441 - -9828115898\nAnswer: 9828109457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggggggvgvvvgg.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34774441.\nAnswer: 13, 2674957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 309*c**3 + 8*c**2 - 5*c - 2. Suppose -5 = 2*u - 5*a - 2, 0 = -5*u + 5*a + 15. Let m be o(u). Round m to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 45, 1 in ascending order.\nAnswer: -1, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 196486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.99999337 + 40. What is l rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let x(d) = -690*d**2. Give z(x(r)).\nAnswer: 952200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -179, -266?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 3817?\nAnswer: -3821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from dkksknp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3210499, 12841967, 28894407, 51367819, 80262203?\nAnswer: 115577559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 4:20 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 42. Suppose w = 2*y - 1. Let d be -4*y*3\/(-24). Solve -b - d = -0, -27 = -5*p + 2*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405 + 805 - 400 + 11*d**2 - 14*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 476 = -90*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l - 16*l**2 + 17*l - 5 + 15*l**2 - l**3. Let p(a) = -a**3 + 3*a**2 - a. Let r be p(3). Is 11 a factor of f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*176\/(-90) + -6. Let t = 2 + -1. Let q = 0 - t. Which is the second smallest value? (a) g (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 958, 3466, 8406, 16588?\nAnswer: 28822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.042 from 650718.\nAnswer: 650718.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4504, -36089, -121866, -288943, -564428, -975429, -1549054, -2312411?\nAnswer: -3292608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2274963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2312550 (base 6) to base 8.\nAnswer: 347462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 35*k - 170. Suppose 136*u - 137*u = 6. Calculate the remainder when 6 is divided by t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1256 and 69\/100.\nAnswer: 31400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 568\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -6 + -13 + 3 + 5 - 14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 6 = -2*c. Let k(j) = 5*j**2 + 3*j + 3. Let h(q) = -11*q**2 - 7*q - 7. Let b(l) = c*h(l) - 7*k(l). Let f(p) = p**2. What is b(f(s))?\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -19*y - 42 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 2*x**2 + 10*x + 1. Let s be j(-5). Let y = s + -16. What is the common denominator of (0 + 5\/(-2))\/(11\/y) and 43\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:57 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 0 = -11*j. What is the biggest value in j, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4\/5 - 1746*p**3\/5 + 1053*p**2 = 0.\nAnswer: -585, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/180*-642 - 2\/15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 + 30*u**2 - 45*u + 20 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v**2 - 80*v + 11. Give j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8 (b) -0.1492 (c) -1\/4 (d) -5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:13 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36608 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(42)\/sqrt(2))\/sqrt(7) + -4 + -4)*2*-4.\nAnswer: -16*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*m + 2 = 5*h - 176*m, -2*m = 4*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262628, 525247, 787864, 1050479, 1313092, 1575703?\nAnswer: 1838312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-1)\/(-4) + (11 - 2). Let z be (-32)\/144*(-12)\/g. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238418, -238418, -238416, -238412?\nAnswer: -238406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 8*n**2 + 8*n - 7. Determine c(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 21948 = -262*a - 114*a for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((3*(-2*sqrt(612) + sqrt(612)) - sqrt(612) - sqrt(612) - sqrt(612)) + (sqrt(612) - (-1 + -4 + sqrt(612))))*4)**2 + 5.\nAnswer: -5184*sqrt(17) + 352841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/5 + 204*l**3\/5 + 562*l**2\/5 - 3144*l\/5 + 2376\/5 = 0 for l.\nAnswer: -99, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1377 + 86*k**2 - 1377)*(20 - 10*k**2 - 20).\nAnswer: -860*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 47*i - 380. Give h(54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(405) + -2 + 4 + -5*(sqrt(405) - (-3 + sqrt(405)))))**2.\nAnswer: -270*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crrr when four letters picked without replacement from {c: 5, r: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from tmirf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocooooooooooo. Give prob of picking 1 o and 1 c.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*h**2 - 3*h**3 - 164 + 328 - 159.\nAnswer: -3*h**3 + 41*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.369 + 0.061. Let t = 2.43 - v. Which is the nearest to -2? (a) -3 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 251924 and 36?\nAnswer: 2267316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -208, -409, -600, -781, -952?\n\"Answer: 5*q**2 - 216*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*o**2 - 20*o**2 - 12*o**2)*(-4*o + 7*o - 2*o).\nAnswer: -86*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-193 + 212 - 2*6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*b**3 - 43*b**3 + 356*b**2 + 81*b**2 + 0*b - 130*b**2 + 2*b to the form m*b + z*b**3 + s + p*b**2 and give p.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*m - t + 3*t, 4*m = -t + 51. Suppose -n + m = 2*n. Solve 0 = -d + n - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(396)*1 - sqrt(396))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tvtttttsts?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -49463306\nAnswer: 5\/49463306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-2)\/(-27)). Let h = g + -3. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11443232 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -652246*j**4 + 8*j**3 + 2834638*j.\nAnswer: -7826952*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r - 5. Suppose 32*j + 36 = 35*j. Suppose 3*p + s = -4, 3*p - 10*s = -j*s + 1. Let k(v) = -5*v + 4. Calculate p*m(y) - 4*k(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-16)\/12)\/(12\/(-18))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03138871 rounded to 5 decimal places?\nAnswer: 0.03139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + sqrt(171)*1 + (1 + sqrt(171)*1 - sqrt(171))))**2.\nAnswer: -24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o**2 - 55*o**2 - 5*o**3 + 116*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2340 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.770186852886935 + -36729466.229808847113065. Let j = 36729464 + d. Let s = 3 + j. What is s rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123415 is divided by 24637.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 64 + 31. Calculate the remainder when 6 + -9 - -1*57 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:49 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-7 + 0 - (9 - -20 - 43))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21.31 + 59787\nAnswer: 59765.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34276 < 34277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = -a - m, -3*m + 24 = 5*a. What is the derivative of -4*t**2 + t**3 - 2*t**a + 4*t**2 + 1 wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let x be 3\/(a - 5)*-5. Suppose x - 14 = -3*q. Solve -o = -q + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 times -33.54?\nAnswer: 3085.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-2)*(-27)\/(-9720)*-40\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40065 + -314?\nAnswer: -40412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7437\/2587 or -2?\nAnswer: -7437\/2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27986 (base 13) in base 2?\nAnswer: 10010000110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/30 - z**4\/6 + 4*z**3\/3 - 3*z**2. Let v be p(4). Let l = 26 - v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 853 in descending order.\nAnswer: 853, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-88)*(0 - (-41)\/41)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/27))**(-5)\/(x*x**(-4\/19))**(-19))**(2\/21) assuming x is positive.\nAnswer: x**(790\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 1, r: 2, l: 1, p: 1, b: 1}. What is prob of sequence mpb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001208141 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27847340.0000001 + -27847342. Let i = r + 2. Round i to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 96*u - 919*u + 842*u.\nAnswer: 19*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/7791 and -86\/7791?\nAnswer: 7791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-18)*(-2)\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (78 + 14)*(-2)\/(-4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(7) + -1))**2 - (1 + 1 + (sqrt(7) - sqrt(21)\/sqrt(3))).\nAnswer: -84*sqrt(7) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -311 + -3*1\/3. Let m = 229 - u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/((o*o*(o*((o\/(o*o*((o**(-2)*o*o*o)\/o)\/o*o))\/o)\/o)\/o*o)\/o))\/((o*((o*o**(2\/5))\/o*o)\/o)\/(o\/o**6)) assuming o is positive.\nAnswer: o**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328.36 - -4261.79.\nAnswer: 3933.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {s: 5, d: 6, l: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14040 is divided by 2227?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, n: 1, l: 4, p: 2, u: 2}. Give prob of sequence oppu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/11 + 231036*n**2\/11 - 3234830*n\/11 + 693192 = 0. What is n?\nAnswer: -115532, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**6\/40 + z**5\/60 + 5*z**4\/12 + 17*z**3\/6 - 10*z**2 + 15. Let h(c) be the second derivative of j(c). Is h(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 765 = -2*z + 222, -2*l + 1054 = 4*z. Suppose -l = -3*a + 218. List the prime factors of a.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16128 and 6?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -13*t. Let g(u) be the third derivative of 1\/30*u**5 + 0*u + t*u**3 + 0 - u**2 + 0*u**4. Let o(w) = 4*w**2. Give g(o(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10407 is divided by 892?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -2*j - 4\/3*j**3 - 10 + 3\/2*j**2. Let n(d) = -9*d**2 + 7*d - 4. Calculate -2*n(f) + 5*u(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98470178 a multiple of 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219993 = -64*x + 8838503. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691306?\nAnswer: 2, 845653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5246233369.\nAnswer: 13, 23, 1349687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*x + 98. Let y(j) = 3*j - 2*j**x - 7*j**2 + 9*j**2 + j**3 - 4 + 5*j**2. Determine y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k**2 - 67*k + 9. Let d be z(3). Let q(l) = -3*l - 1. Let a be (4\/3)\/(2\/(-3)). Let w(r) = 2*r + 2. What is a*w(n) + d*q(n)?\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = 3*h, 188*h - 1 = -c + 191*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1862 and 16807?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 13*s**2 - 15*s + 28. Calculate a(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*i + 4828 + 260 + 4384 for i.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Suppose o*h + 1 = 6. Let u be (-121)\/(-66) + h\/6. Solve r = 3, -u*p + 0*r + r = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:34 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*t = 1728*t - 401411 + 86219 for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o + 1\/24*o**5 - 17\/48*o**4 + 1\/2*o**3 - 36 - 2*o**2. Factor h(f).\nAnswer: (f - 3)*(5*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69 and 0.39.\nAnswer: -68.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.361 - 0.361. Suppose -2*l - 7 = s - 0*s, 0 = s - 2*l - 5. Let w be (3\/(-2))\/(6\/(-8)). Which is the second smallest value? (a) s (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from votvttvt. What is prob of picking 4 t?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 405, 35, 3, -10, 2 in increasing order.\nAnswer: -10, -2, 0, 2, 3, 35, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341 = 69*m - 418 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (392\/(-28)*6\/(-35))\/((-159)\/(-530)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -558362660*l**3 + 266825532*l**2?\nAnswer: -3350175960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1568 = 4*a + 3*a. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*b**2 - 6*b - 11?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p**2 + p + 1. Let o(l) = 2*l**2 - 15*l - 10. Let q be o(8). Let y be 1 + (q - -2) - 2. Give t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066 take away 2465?\nAnswer: -2464.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b - 48*b**2 + 24*b + 0*b + 10 to x*b**2 + s*b + h and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23506\/(-20) - 51\/(-170). Let f = 254 - p. List the prime factors of f.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.107 + -4.893. What is the third smallest value in 3\/7, f, 1, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125242 and 2236.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*r**3 - 81\/2 - 19\/2*r**2 + 99\/2*r = 0. What is r?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18421*t**3 + 68*t + t**2 - 170*t - 18430*t**3.\nAnswer: -9*t**3 + t**2 - 102*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 6*i**2 + 11\/180*i**6 + 0*i + 1\/9*i**4 + 0 - 121\/126*i**7 + 0*i**3 + 17\/45*i**5. Factor p(a).\nAnswer: -a*(5*a - 2)*(11*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12961565 is divided by 985.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34469492 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4*(-8)\/54)\/((-56)\/168).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 843?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**7\/70 - w**5\/20 + 13*w**2. What is the third derivative of i(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -61. Let i = 76 + x. Let w = 25.99966 - i. What is w rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1870163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 16 in descending order.\nAnswer: 16, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5\/8))\/f*f**(-1\/2)*f*(f**(-4))**36 assuming f is positive.\nAnswer: f**(-1153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -63, -139, -287, -531, -895?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {y: 1, i: 1, h: 2, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/12, 151, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*s - 3*o - 0, 5*s = 5*o - 5. Suppose -210 = -2*k + s*q, 6*k - 333 = 3*k - 3*q. What is the remainder when 69 is divided by (4 + -3)*k\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*j = -25, 2*y - j = -y + 14. Let g = 30815 + -61633\/2. Which is the closest to 44? (a) -1\/7 (b) 4 (c) g (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -2\/9 (c) -4 (d) 1\/6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65343 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 12*i + 15. Let v be w(12). Let o = v - 14. Suppose -2*r = 4*h - 66, -2*h = -h + 4*r + o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 10) to base 2.\nAnswer: 1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -44, -2 in increasing order.\nAnswer: -44, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-12))\/((-26)\/42). Let m = w + -2\/13. Sort m, -4, 0.3 in ascending order.\nAnswer: -4, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*h + 15178 = 3*h - 0*h + 15163, 0 = -5*h + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, 0.0009, 73\/3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12*-0.05\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -n + 2*d - 12, -3*d - 30 = -7*n. Solve 0 = -4*t - 2*w - 28, -17*t + 16*t - n*w - 17 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 924*b**3 - 99*b**2 - 99. Let w(i) = 37*i**3 - 4*i**2 - 4. Calculate 99*w(f) - 4*x(f).\nAnswer: -33*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 26*o**2 - 18*o**2 + 2*o**4 + (-o + 0*o - o)*(-4 - o**3 + 4).\nAnswer: 4*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**4\/4 - r**2\/2 - r + 100. Let w(k) = 2 - 3*k**3 + 5*k - 4*k**2 - k + 2*k**2. What is -2*j(y) - w(y)?\nAnswer: y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1904*l**3\/3 - 350*l + 1198. What is the derivative of z(x) wrt x?\nAnswer: 3808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 109 = -38. Sort -1, y, 4 in decreasing order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 31*r**2 + 46998*r - 1502925. What is n(32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188 - -209 - (27 - -2)) + 11 + -24 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0.4, 2, -0.44 in descending order.\nAnswer: 7, 3, 2, 0.4, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*f - 254 - 216, 2*q = 2*f + 226. What is the hundreds digit of q + (3 - (-2 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 + 0 - 6*m + 5*m**2 - 2*m**2 + 2.\nAnswer: 3*(m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -0*n. Let w(j) = j**3 - 3*j**2 - 5*j + 2. Let y be w(n). Let t be (y\/(-3))\/((-10)\/(-45)). Solve -4*k + 5*i - 9 = -t*k, -24 = 5*k - 4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.2 (b) -10\/7 (c) 0.5 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -107?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + o + 1. Let s(r) = r + 1. Suppose -8*h - 4*d = -12, -22*h - 3*d - 2 = -27*h. Give h*k(z) - 2*s(z).\nAnswer: -3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570315 or -570318?\nAnswer: -570318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (230904\/8209920)\/(9\/5)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (-69 - -62).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1656 and 5\/558?\nAnswer: 51336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 4*g + 17. Let u be s(-6). Let t(d) = d - 2. Let p be t(0). Which is the nearest to p? (a) -2\/3 (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 49b69?\nAnswer: 49b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 423198 divided by 70533\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-8)\/3))\/(1078\/308).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {i: 3, m: 8}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:17 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 7*d - 103. Let o be s(15). Solve 15*q + 10 = o*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16910 + -16408.64. Let z = 520 - b. Round z to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-57))\/(-32*(-18)\/10944)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807320 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*m = -58, 2*m + 68 = 3*j + j. Let y be (-58)\/6 - 2\/6. Let b = y + j. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2) + 3969\/(-1302). Are x and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1140.54 to the nearest ten.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.655 - 11.74513. Round d to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*c + 188*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74719 = 2991*g - 152597 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 4}. What is prob of sequence nnp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -18270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 1373622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1865 = -2*d + 225, 3*d - 3167 = 2*k. Calculate the highest common divisor of 39 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2678\/59, -47\/2, 3\/7, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36464745.37 + -1.1.\nAnswer: 36464744.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 49 = 124 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-37.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.1, 7, -13\/71, 1\/2, -1.\nAnswer: -1, -13\/71, 0.1, 0.4, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3005, -11914, -26717, -47408, -73981, -106430?\nAnswer: -144749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 920 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 6*t**3 - 1275*t**2 + 41916*t - 20640 = 0.\nAnswer: 1\/2, 40, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 407 + -405. Let d be (-3)\/(-1)*(-17)\/(-3). Suppose 0 = -u + g*b + d, -41 = -2*u - 6*b + 3*b. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18438064 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 69*a**2 + 98*a + 99. Calculate z(33).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33\/((-1650)\/(-184840)) - (-12)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsszsssss. Give prob of picking 1 z and 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 374*j - 2242. Let a be x(6). Let w(q) be the second derivative of -1\/36*q**6 + 0 - 5\/4*q**a - 8*q - 1\/4*q**5 - 25\/18*q**3 - 5\/6*q**4. Factor w(p).\nAnswer: -5*(p + 1)**3*(p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.954 - -0.273. What is j rounded to 2 dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419506606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-3*g - 2*g + 3*g) + g - 4*g + 2*g + 5*g - 2*g - 4*g + g + 0*g - 2*g + 21*g - 128*g + 51*g - 185*g.\nAnswer: -248*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022121 (base 3) in base 6?\nAnswer: -4241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 571*y**6 + 78844*y**4 + 54262*y**2 + 123 wrt y.\nAnswer: 68520*y**3 + 1892256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.30626 - -0.09374. Which is the closest to 1? (a) j (b) 1 (c) 7\/67 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*o + 1, -4 - 16 = 2*p + 4*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 25. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2477809502 and -54\/7?\nAnswer: 2477809502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1832*k - 12796. Let p be h(-7). Solve -9*g - p - 44 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 304 - 303. Let u(p) = 87*p**4 + 17*p + 3. Let j(l) = -l**4 + 2*l + 1. Let d(i) = h*u(i) - 3*j(i). What is the second derivative of d(g) wrt g?\nAnswer: 1080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 792 and 771111?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -40 in descending order.\nAnswer: -2, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387c (base 13) to base 14.\nAnswer: -2d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/6547 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g**3 + 4*g**2 - g + 13. Let u(s) = -14*s**3 + 5*s**2 - 2*s + 16. Determine 2*u(h) - 3*x(h).\nAnswer: 2*h**3 - 2*h**2 - h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 - 63. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/31)*b*b**47\/b)**(-4\/5) assuming b is positive.\nAnswer: b**(-5832\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4309600 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2866 + 5735 - 2855 - 33*y - 3*y - y + 6*y + 3*y - 3*y - 2*y + 3 - 2*y - 3 + (-4 + 0 + 2)*(y + y - y) + y + 5 - 5.\nAnswer: -36*y + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 3*o**5\/20 - 993*o**4\/4 + 328683*o**3\/2 - 108794073*o**2\/2 + 70*o - 31. Find v such that k(v) = 0.\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2516+-2277075\nAnswer: -2274559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 660.3861 tonnes?\nAnswer: 660386100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2 + 22444*z + 62966642 = 0.\nAnswer: -5611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0493939388 rounded to 3 decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 17*k**2 - 4*k - 10. What is j(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*f - 538 = -265*f + 114 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-16 - 0\/3). Let s = -13 + i. Suppose 0 = -v - s*b - 11 - 8, -v - 14 = 3*b. Let w(a) = -4*a**2 - a. What is w(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-42 - -58 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1550*p + 7491 = -362*p - 5508 - 17889 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.2 - -26. Let c = 1511.896 - 1509.095971. Let f = j - c. What is f rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -188*j**2 - 177*j. Let l(w) = -47*w**2 - 44*w. Let o(i) = 2*h(i) - 9*l(i). Find the second derivative of o(u) wrt u.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 6. Suppose -b*a - 28 = -4*a. Suppose 5*k - 39 = g, -2*k - 3*g + 2 + 0 = 0. Calculate the highest common factor of a and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w = 20. Calculate the smallest common multiple of (-3 - -2) + (-5)\/(-1) and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(208))**2 + -1*sqrt(208) + 3 + 3.\nAnswer: -4*sqrt(13) + 67398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -368 + 370. Solve -r - 8 = 2*r + x, p*r = 4*x - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 8*q - 3. Let f(d) = 2*d**2 + 15*d + 6. Let l(v) = -4*f(v) - 7*g(v). Let a = -18 + 11. Let u = 5 + a. Calculate l(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-1*sqrt(24)\/sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from {c: 2, m: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7894*q**2. Let v(p) = -6*p. What is k(v(o))?\nAnswer: -284184*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**27\/b)*b**24)\/(b\/(b**(1\/4)*b)*b*b\/(((b*b\/b**(2\/63))\/b)\/b)))**(-11) assuming b is positive.\nAnswer: b**(4939\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3320632 is divided by 3320614?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 636\/2*35\/21. Suppose 6*y + 176 = v. Suppose w - 7 = y. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*g**2 + 159*g + 12449 wrt g?\nAnswer: 104*g + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 55423030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216317613\/893 + 242237. Calculate the common denominator of i and -43\/209.\nAnswer: 9823","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l + 0*l - 5*l)*(-1017*l**2 + 1017*l**2 + 12*l**4 + 46*l**3).\nAnswer: -24*l**5 - 92*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 18*r**2 - 17*r - 21*r**3 + 13*r**2.\nAnswer: -21*r**3 - r**2 - 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/10 + 7*c**4\/12 + 3*c**2\/2 + 7*c + 29. Calculate a(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, 3, 2\/31, -0.4, 2 in descending order.\nAnswer: 3, 2, 2\/31, 1\/16, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 44*m**2 - 3*m - 35. Is z(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 284\/284*(-56)\/(-2)*3\/(-6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = s. Let i(n) = -1 + 1 + 2*n**2 - 3*n**s. Let w(g) = 6*g**2 + 10*g. Let b(f) = f. Let y(t) = 10*b(t) - w(t). Determine i(y(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 - -92\nAnswer: 89.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgz when three letters picked without replacement from {m: 1, z: 7, g: 10}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 + 8*j - 1. List the prime factors of m(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*8\/(-2). Suppose -2*u = g*j - 21 - 19, -5*j = 3*u - 56. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.454 + 2.4. Round z to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (960\/1792)\/(10*(-6)\/(-42)). Let u = 0.1 + -2.1. What is the second smallest value in g, u, -2\/29, 5\/2?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -0.1, -3 in decreasing order.\nAnswer: 8, 2, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156 + -68?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2144 (base 6) to base 10.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-27) - (-13776)\/27. Let i = -348 + k. Calculate the highest common factor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = 3*a + 10*a. What is the remainder when ((4 - 5) + a)*-2 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v. Let c(j) be the third derivative of 0 + 4*j**2 - 1\/60*j**5 + 0*j**3 + 0*j**4 + 0*j. Give c(f(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -41. Suppose g + g = c. What is the remainder when 3 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 16687.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3308.36 times -2\nAnswer: 6616.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3 + 4 - 5 + 2 + 3 - 2 - 2 + (-2 - 2 + 5)*(6 - 2 - 2) - 3 + 4 + 4)*(-5 + 0 - 1)*(0*j - 4*j + 2*j).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 6*q**2 + 32*q - 16. Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883876.5 decades to years.\nAnswer: 8838765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 133 = 4*b, -g + 38 - 3 = -b. What is the derivative of 24*z + 9 - 192*z + 100 - g*z + 0 wrt z?\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.02 (b) 36 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + o + 15, -d = 2*o + o - 7. Let w = -10 - -14. Suppose z = w*z. Solve z*i = 5*i - 5*c - 35, 0 = -5*i + d*c + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 23711390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36990000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.800006412 - -5.8. Round i to 7 dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**2 + 135*d - 810 = 0.\nAnswer: 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -72*h**2 + 3650. Let y(a) be the first derivative of -3*a**2\/2 + 2. Determine p(y(x)).\nAnswer: 432*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z - 70. Suppose -10*c + 135 = -45. Let o = z + c. Sort -4, 0, o in decreasing order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeheeheehee. What is prob of sequence heee?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from vvavaaaavaararavva?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 12. Let t be a(6). Let g = 51 + t. Find the second derivative of -9*r - 9*r + g*r - 35*r**2 wrt r.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, q: 5, c: 1, l: 3, e: 2}. Give prob of sequence qelq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 3*p + 1159 = -11*u, -2*u + p = -567. Calculate the remainder when u is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 11 + -50 - (-14 + -2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 1, v: 1, w: 1, d: 1, t: 2}. What is prob of sequence twvy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:59 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 182153926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 + 3*q**2 - 5*q**2 + (q - 2*q - 3*q)*(-373*q - 404*q - 228*q) to h*q + w + k*q**2 and give k.\nAnswer: 4022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-104)\/(-84) + (-20)\/30. Factor -z + 2\/7*q**2 + 6\/7*q + 2\/7*q**4 - 6\/7*q**3.\nAnswer: 2*(q - 2)*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o**2 - o + 136. Let g be f(0). Suppose -125 = -3*r + g. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c5e - 1a3c?\nAnswer: -469a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034401 to 4 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1445230, -5780919, -13007074, -23123701, -36130806, -52028395, -70816474, -92495049?\n\"Answer: -b**3 - 1445227*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3))**43\/(d**(-2))**(2\/29))**(-5\/6))**(-10\/17) assuming d is positive.\nAnswer: d**(-93425\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*z**2 - 350*m*z - 278653233*z**2 - 3*z - 76738 wrt z?\nAnswer: -4*m - 557306466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Is 3 - (1 - 5\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.6. Let l = -0.2 + n. Let z be -2 - (4 - (-145)\/(-25)). Sort l, 0.3, z.\nAnswer: l, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52.3 + 52. Suppose -2*s = -5*x + 4*x - 8, -2*s - 8 = 3*x. Suppose -14*n + 12*n = s. Sort n, -8, 1\/2, c.\nAnswer: -8, n, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - -13)*(0 - 1). Let f = -458 - -1505. Suppose i = -5*s + f - 112. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16992914 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.0641?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 11 - 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5446447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:08 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 93*x + 95. Let j be v(-1). Let q = -36 + 58. Suppose 2*g = j*p + 40, 2*p + q = -3*g + 4*g. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*z = -2*z - 29, 2*v = -5*z + 22. Let u = 24 - v. Suppose 40000 = 4*r - u*r. Round r to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110101101111101 - -11?\nAnswer: 11001110101110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajo when three letters picked without replacement from adnaaooajaaaaaano?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(11 + 17 + 17)*(-1 - 2 + 2)*(20*q**2 - 7*q**2 + 4*q**2).\nAnswer: -1530*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.09 + -9.597. What is g rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(68)\/sqrt(4) + sqrt(17)) + sqrt(68)\/sqrt(4)*-2)*-5 + 5)**2 + 0 + -1.\nAnswer: 300*sqrt(17) + 15324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**(1\/8)*g)\/g))\/g**(-2\/17))**31*(g**(1\/9)\/(g*g*g\/g**(-3\/8)))\/(g**1)**37 assuming g is positive.\nAnswer: g**(-24781\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392100.\nAnswer: 2, 3, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00239199 rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 175\/55 + -1 + 6\/(-33). Suppose -2*g = 4*u, -u + 2*u - f*g - 10 = 0. Solve -v - u*v - 4*d + 31 = 0, -2*v + 26 = 4*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862473 - 5?\nAnswer: 862468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29321.985831 + 29322. What is r rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 3. Let z be h(-6). Which is the third smallest value? (a) z (b) 26 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 33. Let p be (-130)\/(-14)*a + (-4)\/(-14). Let j be p\/6*4\/(-3). Solve j*k - 7 = 5*m, k - 6*k + 9 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 17. Let b be -2 + (3\/v - -5). Suppose b*s - 8*s = -174. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1219*f**2. Let x(d) = 3*d**2. Determine c(x(g)).\nAnswer: 10971*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 107*w + 103*w - 48 = 0, 4*i - 2*w = -30 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2408, -2410, -2414, -2420, -2428?\nAnswer: -2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3555, -4056, -5417, -8070, -12447, -18980, -28101?\nAnswer: -40242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 6. Let m be (28\/6)\/(6\/(-9)). Let b be r(m). Is 3\/4 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 16*p**2 - 53*p + 69. Let q be c(3). Let j = 546823\/9 + -60821. Let y = 63 + j. What is the nearest to y in -2, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2888387434*t**2 + 94 - 94 - 2888387444*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 8. Let b = 22 + -16. Determine q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000320432 rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 + 4*m. Let y be n(3). Suppose y*o - 20 = -o. Let x = 8 + -6. Sort o, x, 0.5 in descending order.\nAnswer: o, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/1031, 0.5, 7, -32?\nAnswer: -2\/1031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461329607?\nAnswer: 3, 397, 1226977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28942 by -2.\nAnswer: -14471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 4.4, -0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 674\/(-4)*4. Let o be 1241\/j + (-3)\/8 - -1. What is the nearest to 0 in o, -2\/5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 67515337573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 8:21 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:57 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * -184933.\nAnswer: -5732923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*5\/6)\/(((-19505)\/(-747))\/(-235)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 4670.\nAnswer: 56040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.078335 times 1\nAnswer: 0.078335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.66 to 1 dp.\nAnswer: -91.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -915.0707 + 0.0707. Let n = t - -915.806. Let z = 0.054 + n. Round z to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*r**3 - 2 + 2 + 526*r**3.\nAnswer: 37*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-3)*(649\/44 - 15) + 4224\/72.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12461 + 13105?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8643012746 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 31*g - 27*g + 5*y, 5*y - 1 = 3*g. Solve 0 = 4*r + g*t - 6*t - 8, -t - 8 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/10)*h**(-7)*h*h\/h**(-2\/13)*h*h*h*h**(1\/4))\/(((h\/(h*h**(-2)*h*h))\/h**(-2\/17))\/((h**(-2)\/h)\/h*h*h*h)**(-47)) assuming h is positive.\nAnswer: h**(200607\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11211 (base 3) to base 16\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -506.6275 - 0.3725. Put j, 2, -0.5, 0.2 in decreasing order.\nAnswer: 2, 0.2, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*h = 153, -h - 51 = -5*q + 220. Solve -q*p - 6 = -57*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5167215.\nAnswer: 3, 5, 114827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((50\/15)\/5*9\/(-3))\/((-2220)\/(-666))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3579913263.\nAnswer: 3, 31, 38493691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2141146 - 133?\nAnswer: 2141013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 46. Suppose -n + 53 = -5*v, -y*n + 231 = -3*n - v. Is n a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -5*b**4\/6 - b**3\/3 + 3*b. Let i(n) = -n**2 - n. Suppose 4*g + 7*o - 6*o + 1 = 0, 5*o - 14 = -g. Determine g*k(z) + 2*i(z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = d + 27, a + 8*a + 2*d = 243. Sort -2, 5, -1, a, 3.\nAnswer: -2, -1, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -779*a**3*j - 2*a**2*j*k + j*k + 476 wrt a?\nAnswer: -2337*a**2*j - 4*a*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrkbhhkkkhk. Give prob of picking 1 k, 1 h, and 1 r.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2*u + 672866*m**2 + 552*m*u + 1144216*u - 2 wrt m?\nAnswer: 4*u + 1345732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*w - 2 = 0. What is the third derivative of -79 + 4*j**3 - 4*j**w + 79 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55538 or -55536?\nAnswer: -55536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.7 + -41. Which is the third biggest value? (a) t (b) -1.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -u + 7. Suppose -4*g + u*y + 0*y = -66, 5*g = 3*y + 81. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103.7 - 104. Which is the second biggest value? (a) s (b) -2\/7 (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxeg when four letters picked without replacement from {e: 4, g: 3, x: 11}?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 319?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22022021120001 (base 3) to base 2.\nAnswer: 10000110101110000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1760228*h - 3520451. Determine f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Put -2\/9, y, 2\/17 in descending order.\nAnswer: 2\/17, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -x, -7*g - 3*x = -2*g + 32. Let n be 3861\/169 - g\/26. Suppose 2*l = -11*l + 26. Put 0, l, n in ascending order.\nAnswer: 0, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9999597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**1\/m))\/m)**(-4\/39)\/(m**(-13)*m**10\/m) assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 14*n**2 - 15*n + 7. Let d be c(15). Let b = d + -5. What is the smallest common multiple of 15 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219433786?\nAnswer: 2, 11, 13, 109, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 960\/(-512)*52\/(-1365).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -359 + 364. Let f be (-9)\/3*1*-1. Suppose -3*h = -s - 2, -2*s + f*s - 2*h = 0. Solve -s*r = -4*x + 5 + 3, -16 = 2*r - c*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 17*f = 312. Calculate the highest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -45\/964?\nAnswer: -45\/964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -15004\/7 = -2144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 - -535. What are the prime factors of y?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3827.4 * 5\nAnswer: 19137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 305*m**2 - 2*m - 1. Give x(-1).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18171 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 7*v - 39 + 18*v.\nAnswer: -2*v - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342887 - -31202068\/91. Let j = 51\/7 + v. Which is the third biggest value? (a) -2 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 13 - (2 + 1 + 4) - (-30 - -65).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113110 (base 4) in base 12?\nAnswer: -a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 175. Suppose 623*c + 131*c + 2556 - 16128 = 0. Calculate the remainder when w is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.5, -1656, 3 in decreasing order.\nAnswer: 3, 1\/5, -0.5, -1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 128 = 2*m + 4*s, -349 = -5*m + 2*s. What is the remainder when m is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z - 161. Calculate l(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -443 + 443. Suppose -3*u + 9 = y, -2*o + o - 14 = -5*u. Calculate the highest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 - 340014?\nAnswer: -340141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4395, 8770, 13145, 17520, 21895, 26270?\n\"Answer: 4375*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470*z = -1728*z + 16927 + 5318 + 25725 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2455306*r**5 - 1763902*r wrt r?\nAnswer: -49106120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by 971.\nAnswer: 114\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4 (c) -8 (d) -0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/3 - 5364*f**4 - 5137520*f**3\/3 - 1701780*f**2 + 5137522*f\/3 + 1707144 = 0?\nAnswer: -7713, -332, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109149580 to the power of 1\/3, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l - 2. Let f(k) = -k**3 + 6*k**2 + 3*k + 11. Let d be f(6). Let r be (1 + d)*(-3 - 9\/(-2)). Let b be -3*6\/r*-5. Calculate o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/(3*25\/1400).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 1, z: 1, a: 2, v: 2, e: 1}. What is prob of picking 1 e and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 632296.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4 - 48. Calculate the remainder when 767 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 5*m + 2 - 10 - 4*m - 4*m.\nAnswer: -7*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 5. Let x = 0 + 1. What is the nearest to x in f, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020805 is divided by 9365?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -1\/22, 2\/17, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 12*d - 2. Solve d*o + 25 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2 - 2*l - l + 2*l + 1. Let x = -22 + 21. Let k(b) = 1. Let f(j) = -1. Let h(m) = -2*f(m) - k(m). Determine x*z(q) + 4*h(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: 2 + -14 - (4 + -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.7 + -1.7. Let j = 1.35 + 11.05. Let x = k - j. Which is the second biggest value? (a) x (b) 5\/2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = -4*j + 3*y, 0 = 5*y + 20. Let q = j + 5. Find the first derivative of i**3 + 0*i**2 + 2*i**2 - 2*i**q + 4 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)\/l)\/(l\/((l**(-6)\/l)\/l*l)))\/(l**(-8)*l*l**(-5))*(l**3*l**9*l)**(-34\/3) assuming l is positive.\nAnswer: l**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 4442*t - 4440.\nAnswer: -2*(t - 2220)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -0.3, -2\/7 in increasing order.\nAnswer: -163, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7172 and 14?\nAnswer: 50204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-15)\/(-6))*0. Suppose 6*z - z - 25 = a. Let g = -85 - -104. Solve -g = 4*v - k, -z*v + 0*k = -k + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13*k - 16 = 0. Let x be k\/(-5) + (-240)\/(-100). Find the second derivative of 35*p - 46*p**2 + 51*p**x - 29*p**2 wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28206073 + 15*l**2 + 28206071 - 56412144.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -6*w + 11*w, -4*w = -2*s - 16. Let b(x) = -125*x**2 + 35*x. Let o(p) = -14*p**2 + 4*p. Determine w*b(a) - 35*o(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853*m - 223381 = 77127 - 89266 for m.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from cuuuucufuu.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 467*p**2 + 2*p + 2. Is h(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11583 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -36. Suppose -z*d + 21*d = -2891. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155686 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128021970 to the nearest integer?\nAnswer: 11315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 9. Let q be m(-11). Suppose 6*h = q*h. Let u(p) = p**3 + p**2 + p - 6. What is u(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + sqrt(13)*1 + -5) + (1*sqrt(637)*4 - sqrt(637)))**2.\nAnswer: -500*sqrt(13) + 8225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -62, -180, -406, -776?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1525 * 31.\nAnswer: -35.7275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b + 3. Let n(x) = -10 + 5*x + 19 - 7. Give -3*n(o) + 2*r(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 4)*(-2*q**2 - 2 + 2)*(4 - 2 + 2) in the form i*q**2 + m*q + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 125\/(-15) - 4\/6. Let t = x + 5. Sort 0, 3, t in decreasing order.\nAnswer: 3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 1, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -21443, -2\/39 in decreasing order.\nAnswer: 2\/9, -2\/39, -21443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.2 + -93.6. What is the third biggest value in f, 210, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.3 and -4313.\nAnswer: 53049.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*t**3 + 8 - 8)*(7 + 0 - 1) in the form n*t + p*t**2 + z + r*t**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -740*h**6 - 60*h**2 wrt h.\nAnswer: -88800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -501.7 - -502. What is the smallest value in k, -47, 1\/4, 2\/13?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11))**(2\/19))**(2\/125)*((f\/f**(-7))\/(f*f\/(f**(1\/2)\/f)))\/(f**(1\/4))**(-38) assuming f is positive.\nAnswer: f**(391867\/26125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/32 and 99\/182?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 18 = 4. Let d(h) = h**3 - 8*h**2 + 5*h + 9. What is d(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 4. Let p(d) = -2*d - 1. Let r(y) = a(y) + p(y). Calculate r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(-3*u + u + 3*u) + 4 - 4 + 2*u + 3*u + 0*u - u + 0*u + 2*u - 3*u - 19 - 95 + 102*u + 116 to w*u + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddddm. What is prob of picking 1 m and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5\/9 + 2*k**4 - 14*k**3\/9 - 2*k**2 + 10*k\/9 = 0. What is k?\nAnswer: -5, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 4*p**2 + 0*p**2)*(3 + 1 - 2) + 2*p**2 + 0*p**2 + 0*p**2 - 4*p**2 + 0*p**2 + 6*p**2 - 4*p**2 + 2*p**2 - p**2 + (8 - 8 - p**2)*(-4 + 1 + 5).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 13. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 2. Determine g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:10 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Suppose o = u - 2 - 1. What is the derivative of -2*f**u - 1 + 5*f - 5*f wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1. Let k be x(3). Let z(b) = b**3 - 9 + 8 - b**2 - 19*b - 4 + 4*b**2. Let g be z(-6). Sort g, 0, k.\nAnswer: k, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -0.078205.\nAnswer: -4.078205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125.6 - -138. Let h = -12 + r. Which is the nearest to 1? (a) 4 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -310066*a - 4340921. Calculate q(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/((-61)\/(-183)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70852 (base 12) in base 2?\nAnswer: -100011101110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 431 (b) 2\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186529632.\nAnswer: 2, 3, 23, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 13*x**2 + 207*x + 10. Let c(g) = 3*g**3 + 9*g**2 + 136*g + 7. Determine 7*c(t) - 5*y(t).\nAnswer: t**3 - 2*t**2 - 83*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 211488 and 3974?\nAnswer: 420226656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 25) + 2 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 3*u**2 + 13*u**3 + 18*u**3 - 7 - 36*u**3 + 9 in the form h*u**3 + i*u**2 + c + r*u and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fc1 + 3c?\nAnswer: -3f85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - 8*k**2 + 26*k + 24. Let h be z(-8). What is the highest common divisor of h and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2197*v + 2193*v = 0, -3*z + 3*v - 5*v = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/190889 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - q**3 - 5*q**3 + (2*q**2 + q - q)*(-3*q + 6*q - 2*q) - 11*q**3 + 51*q**3 + 4 - 5 as t*q**2 + c*q + a + j*q**3 and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -991 + 991.00000879. Round y to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(284\/16 + 6\/(-8)). Solve -2*s = 2*t + 4, -s + 0*s - u = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190023 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 4*u**3 + u**3 + (103*u + 44*u - 89*u)*(-3 + 3 - u)*(3*u - 3*u - 2*u).\nAnswer: 114*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*c + 53*c**3 - 124*c + (19*c**2 + 2*c + 0*c - 4*c**2)*(-2*c + c + 3*c) as j*c + n + m*c**3 + s*c**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 405, 1\/9, 439 in ascending order.\nAnswer: 1\/9, 405, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5873758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223076094*j**4 + 15955*j - 4741 wrt j.\nAnswer: -2676913128*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + ((-1)\/66)\/(409\/298570).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 23 = 17. What is the lowest common multiple of h and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 115 + 3562 = 0. Let h be (24\/(-9))\/((-6)\/i). Let j = 170 - h. Which is the third biggest value? (a) 5 (b) 3 (c) 11 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7 = z, 2*v - 3*z = -z - 2. Factor 25\/2*h**4 - 8*h**v - 2*h - 5\/2*h**3 + 0.\nAnswer: h*(h - 1)*(5*h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let u be 2 - (1064\/530)\/1. Let s = -251\/1855 + u. What is the second smallest value in -3\/8, t, s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let p = -3 - k. Let q be 2\/(-6) + 5\/(-12). What is the third biggest value in 1, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143135902.\nAnswer: 2, 7, 13, 60497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1661576 (base 8) to base 15\nAnswer: 98717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1323) + 5 + 5 + sqrt(1323) + -1*sqrt(1323) + sqrt(1323) - -1*-2*sqrt(27)*-1*-6)**2.\nAnswer: 132*sqrt(3) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*z + 206, -4*s - z + 226 = z. Let f be 1\/((2\/(-4))\/(s\/(-36))). Sort -5, 27, f in ascending order.\nAnswer: -5, f, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000000011 (base 2) to base 12.\nAnswer: 20ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15912444 is divided by 3978109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 15 - 29. Suppose k - 100 = -5*l, -4*l = b*k - 0*l - 194. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-594) + (94\/(-18))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -137 + 58*x + 89\/2*x**2. Find the first derivative of k(g) wrt g.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(0 - (-4)\/20). Suppose -2*x - j = 3*j - 74, -3*x + 147 = -3*j. Calculate the remainder when x is divided by (128\/20)\/((-2)\/m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 4. Let i(w) = -w - w**2 + 0*w + 0*w + 62 + 49 - 112. Let x(r) = 2*r - 6. Let j be x(4). Let n(h) = h**2 + 2*h + 2. Determine g*n(a) + j*i(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1785589 or -1785575?\nAnswer: -1785589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 1. Let q be y(-1). Let w(k) = -5 + 5*k**2 + 2 + 17*k**3 - 13*k**2 - 18*k**q - 4*k. What is the units digit of w(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 20*g**2 - g - 1. Let k be t(-1). Let h = 19 - k. Is 189\/6 + h\/2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 10:26 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**16\/i*i)\/i**(-17))\/(i**6*i)**(1\/9) assuming i is positive.\nAnswer: i**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 120*m**2 - 3*m. Let q be u(1). Let w = q - 111. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*k**2 - 57*k + 21*k**2 - 36*k**2 as q + t*k + m*k**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -262 + 257. Put 4, 2\/15, w, -1\/9 in increasing order.\nAnswer: w, -1\/9, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3) + (7 - 5) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1421*d**3 + 11*d**2 + 879. Let r(c) = -284*c**3 - 2*c**2 - 176. Let i(o) = -2*k(o) - 11*r(o). What is the first derivative of i(y) wrt y?\nAnswer: 846*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 4335748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = -3. Let t(z) = 2*z**2 - 5*z**2 + j*z**2 - 8*z - 8. What is the units digit of t(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2)\/b*b*b**(-6))**(-27) assuming b is positive.\nAnswer: b**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*l + 2, 5*l - 4*w - 4 = -2*w. Suppose -l*v - 3*f = -31, 2*v - 4*v - 4*f + 30 = 0. Solve -5*d + 10*d = -2*b + 23, d - 5*b = -v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**2 + 221*d + 72. Give k(32).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 16*b = -21*b + 22, -9*b + 57 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 5. Let d(s) = 12*s. Let y be d(1). Let o = y - w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/2 + (-1 - -2). Find the common denominator of n\/2*86\/(-24) and 3 + -2 + 309\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 7:47 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -113. Let d be 2\/8 - n\/(-12). Suppose 2*r + 6 = d*r. Calculate the least common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70261*r**2\/2 + 2810435*r\/2 - 100.\nAnswer: (r + 40)*(70261*r - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 711\/1*(24\/(-9) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15876042 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 274188 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.7 + -68.7. Sort m, 0.1, -2\/11 in ascending order.\nAnswer: m, -2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 - 97. Suppose 13*t = 9*t + z. Solve t = -5*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from xxxxrxdxdxrdrdxdd.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.8975 + 0.1025. Let t = -1.2 - -0.2. What is the nearest to t in 4, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/2 + 85*m**4 - 3860*m**3 + 21160*m**2 - 41000*m + 26896 = 0. What is m?\nAnswer: 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d188 (base 16) in base 3?\nAnswer: 110201021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22988 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -992.2 + 992. What is the closest to -2\/7 in -21\/4, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-27)\/45 - 4. Let t = 520 + -6754\/13. Which is the smallest value? (a) w (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2542270 to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9425658 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 104 = -6*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:20 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 4. Let v be w(4). Let d(o) = -62*o - 1607. Let p be d(-26). Solve p*r + 17 = -v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (8 - (103 - 10)) + -4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 66614394?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000235543 to 6 decimal places.\nAnswer: 0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 211 = -5*x - 46, -h + 2*x = -45. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.2 + 11. Let w = -1.4 + j. What is the second smallest value in 2\/3, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5483?\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2690424 and 1272?\nAnswer: 142592472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31361*r**2 + 31364*r**2 - 62724*r**2 + 644.\nAnswer: r**2 + 644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1241 - -1844. Let n = 1264 - o. What are the prime factors of n?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 - 0.23?\nAnswer: -93.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58309581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyeyyyyyyyyyjee. What is prob of sequence yj?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*(sqrt(13) + sqrt(13) + -1) + 2*-1*sqrt(13))*-6)**2 + (3*sqrt(39)*1)\/(-2*sqrt(3)*-3).\nAnswer: -4032 + 1153*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.075*5.\nAnswer: -80.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3841 in 0.3, 20, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, m: 3, h: 1, q: 2, b: 1}. What is prob of picking 1 q and 2 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - j**2 - 2*j**2 - 8*j + 16*j**2 - 9*j**2 - 5*j**2 to o*j**2 + k*j + w and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 1. Let d(m) = -128*m**2 + 147*m. Let x(f) = 26*f**2 - 28*f. Let s(g) = 4*d(g) + 21*x(g). Give i(s(b)).\nAnswer: 3468*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -2*q. Do -7\/9 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13.016 (b) -4 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 6*k - k)*(46 - 46 - 8*k) - k**2 - 3*k**2 + 2*k**2 + (-4*k + 4*k - k)*(-4*k + 8*k + 0*k) to s + o*k + c*k**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (sqrt(128) + sqrt(128)*-1*-3 + -4 + sqrt(128) + sqrt(128) + 4)**2.\nAnswer: 4616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -5, 0.0342, 1\/9, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 12*m + 36. Suppose 26*y + 60 = 22*y. Let v be d(y). What is the remainder when 49 is divided by (-111)\/v - (-10)\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -65.0047. What is z rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3569, -7132, -10695, -14258, -17821?\n\"Answer: -3563*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7816?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)\/v)**(-50)*v**(1\/2)\/v**(-8) assuming v is positive.\nAnswer: v**(619\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, 399, 3, 77, -4 in ascending order.\nAnswer: -4, 3, 5, 14, 77, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/507)\/(((8\/(-8))\/(-6))\/(2\/2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -5217040367.\nAnswer: -5217040367.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 3*j + 10. Suppose -11*c + 20 + j = 0. Suppose -4*n - s = -34, 2*n - 3*s - 7 = 3. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-88)\/(-6))\/(((-247)\/(-39))\/19). What is the highest common factor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 84*t**4 - 544*t**3 - 2282*t**2 - 2354*t. Let d(p) = 19*p**4 - 121*p**3 - 507*p**2 - 523*p. Let b(m) = 22*d(m) - 5*w(m). Let b(f) = 0. What is f?\nAnswer: -2, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233031 (base 4) in base 12?\nAnswer: -65a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -a + 9 = y. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 9 - 9 + (1 + 1 - 4)*(4*k - 3*k + 0*k))*(-3 + k + 3)*(-1 + 3 - 5) to the form m*k**2 + q + j*k and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 955936001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -7. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59087.\nAnswer: 7, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872))**2 + 5)*-2 + -4.\nAnswer: -3758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2))\/1 + 3. Suppose 4*k = 4*y - 140, -4*y + k + 145 = -4*k. Suppose -4*v = v - y. Solve 5*r - 4*l - 6 = v, -3*r - p*l = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 - -10)) + (2 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.062, 3\/4, 2\/3 in ascending order.\nAnswer: -0.062, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 12*p - 15. Let h = 1 - 7. Is a(h) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3540 or -3539?\nAnswer: -3540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -221200212101 (base 3) in base 2?\nAnswer: -1111011011111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8053 - 7933 = 3*i + 3*w, -2*i - 4*w + 84 = 0 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48+-1381299748712\nAnswer: -1381299748760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 502084 divided by -1?\nAnswer: -502084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.91 times -89\nAnswer: -347.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21197 and 2397188?\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -1\/4 (b) -0.1 (c) -0.5 (d) 426858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.72 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 693, 609, -149, -1875, -4863?\nAnswer: -9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(2673)*1)\/(-1*((sqrt(108) - sqrt(108)*2 - sqrt(108))*6 + sqrt(108)))*2.\nAnswer: 12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*((-2*-2*sqrt(2816))**2 + ((1*sqrt(2816))**2 + sqrt(2816) - sqrt(2816)) + -3).\nAnswer: -191476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 9. Suppose -5*t = -10*t - 100. Let w be g(t). Let n = 71 - w. Solve 4*b - 10 - n = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161163883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25272\/18252 + 437\/13.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 169158323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/12 + 1 + 3\/4. Suppose t + g - 4 = 0, 3*t + 3*g = -t + 20. Let n = t - i. Sort n, 4, -2 in decreasing order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 10*d - 22. Let w be b(-4). Suppose x + q = w, 0*x - 5*q - 10 = -x. Let r = -7 + 13. What is the highest common factor of x and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(80\/(-6) - -1). Let n = -1 - y. Let t(i) = i**2 + 9. Let a be t(-9). What is the highest common factor of n and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/20)\/(((-78)\/8)\/(-13))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + z - 5, 5*z - 4 - 21 = 5*x. Solve -5*o = 5*q + 20, -25 = 4*q - x*q - 5*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2499095295 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19812.75 millilitres in litres?\nAnswer: 19.81275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 15. Let o be i(-9). Differentiate 19*u**4 - 2 + 10*u**4 - 6*u**4 - o with respect to u.\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 9 + 1 + 17*l - 14*l. Let m be w(5). Solve -24 = -3*o + a + 2*a, m = -3*a - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k - 5*j + 4972, 5*k - 22*j = 12499. Calculate the greatest common factor of 106 and k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047292 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 16*r + 3. Let o = -3811 - -3819. Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/6 + 5*m**3\/2 - 10603*m**2. Let f(n) = 112*n**2. What is f(i(x))?\nAnswer: 1792*x**2 - 13440*x + 25200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 smaller than 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*((-5)\/(-3) - 2). Let r be -12 + 9 + (a - -35). Suppose -2*q + 117 = r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*r = -10, 17 = -2*m - 4*r - 7 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 1 - 1)*((-o + 4 - 4)*(2 + 1 + 0) - 6*o + 2*o + 2*o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 + p - 10. Let f be u(7). Is -59 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f - 2. Let q(z) = z**2 + 4*z - 3. Let s be q(-4). Calculate the remainder when l(s) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1272 and 50350?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 358 (b) 0 (c) 7 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(12)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -50732?\nAnswer: -152196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976816651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -167384.\nAnswer: 1\/167384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 20 = 5*x, a - x = -5*x - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.92 + 2. Let g = m - -0.02. Which is the second biggest value? (a) 4 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 11*m**2 - 9*m - 6. Suppose 3 = h - 7. Let r be g(h). Suppose -a - 72 = -r*a. Calculate the greatest common factor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/195 smaller than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -543, -3, -168 in descending order.\nAnswer: 3, -3, -168, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20296*q**4 - 9068 wrt q?\nAnswer: -81184*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7813763, -7813800, -7813897, -7814084, -7814391, -7814848, -7815485?\nAnswer: -7816332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346\/5 + 70. Let u = 0.1 + -1.1. What is the smallest value in u, g, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1026206 + 4?\nAnswer: 1026210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/32670 and -167\/65340.\nAnswer: 65340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25140\/419*2\/42?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35553737 or 35553738?\nAnswer: 35553738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 - 2*d**2 + 10*d + 14*d - 1 - 11*d in the form r*d + a + k*d**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 826080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 226*n**2. Let c(z) = 18*z**2 - 12*z. Let u(r) = -20*r**2 + 14*r. Let j(y) = -7*c(y) - 6*u(y). Determine j(k(b)).\nAnswer: -306456*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -5*x**4\/4 + x**3\/3 - x - 4. Does 3 divide h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -20*i - 108. Give v(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77643 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 3 - (-18)\/((-1080)\/605))\/(495\/(-72)).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6743653 (base 8) to base 15\nAnswer: 25e677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/47729 and 52\/11.\nAnswer: 47729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16285, -24936, -33587?\n\"Answer: -8651*p - 7634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 60 = 5*f + 9, 3*d - 5*f + 166 = 0. Let t = d + 70. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1600 = 4*q, -19*j = -15*j. Calculate the greatest common divisor of 176 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12321232 (base 5) in base 8?\nAnswer: -352600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 (base 9) in base 16?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 7*x**2 + 5*x - 6. Let p be o(-6). Let a(y) = y**2 + 4*y - 2. Let f be a(-5). Solve -f*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-28)*((j**(1\/36)\/j)\/j)\/j)\/((j*j**(1\/15))\/(j\/(j\/(j*j\/(j**(-24)\/j))))) assuming j is positive.\nAnswer: j**(9353\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(4*t**3 + 0*t + 0*t) to the form f + c*t + k*t**3 + m*t**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992185 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 92. Is p a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 + 5*j**2\/2 + j - 5. Let r(w) = w**2 + 9*w + 3. Let o(t) = -5*g(t) + 3*r(t). Let o(m) = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 240680 = h - 21*h. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -868.\nAnswer: -1\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507 divided by -169.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-1*-2 + sqrt(312) + sqrt(312))\/sqrt(12))\/(sqrt(72)*-3 - sqrt(18)).\nAnswer: -4*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -7*u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58.9 and 3120.\nAnswer: 3061.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*a = -28, -831*j + 836*j = a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24448.921 - -24436. Let p = t - 0.079. Which is the third smallest value? (a) 1 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j + 43*j + 2 - 2.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/504*27)\/(2\/24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 274*v + 552.\nAnswer: -(v - 2)*(v + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559 and 4589?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 399*s**4 - 2*s**2 + 0*s**2 - 94*s**3 + 9*s**3 - s - 190*s**4 - 208*s**4 as g + k*s**4 + y*s + i*s**2 + h*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*c + 616, -v = 3*c - 5*c - 159. Let o = 220 - v. Calculate the highest common factor of o and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u**2 - 2*u**2)*(15*u - 4*u + 21*u)*(4 - 1 - 1) + (3*u + u**2 - 3*u)*(-5*u - u + 51*u).\nAnswer: 173*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**2\/2 - k + 1219. Let t(a) = -10*a + 9. Determine 36*j(b) + 4*t(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -38708624.\nAnswer: 23225174.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -7 - (6 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 66.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + -3 + -11. Let f(i) be the first derivative of 7*i + 2*i**2 - 2\/3*i**3 - 3. Let u(b) = -4*b**2 + 9*b + 15. Give d*f(w) + 6*u(w).\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 18*m + 161. Let d(w) = 74*w - m*w - 40*w. Let f(k) = 13*k. Calculate f(d(v)).\nAnswer: 143*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/((-1)\/(-24)). Suppose -2*b = 5*p - 4*b + 110, -2*p - 4*b = 20. Let c = n - p. What is the smallest common multiple of 22 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 - 4442?\nAnswer: -5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 2*q + 11. Let i be c(0). Suppose 0 = 2*k + 5*s + i, -k + 2 = -2*s - 3*s. Put -2\/13, 0.2, k, 0.1 in ascending order.\nAnswer: k, -2\/13, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**5\/220 + w**4\/66 - w**3\/22 - 38*w + 26. Let z(l) be the first derivative of y(l). Factor z(h).\nAnswer: h*(h - 1)*(h + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1345\/2 (b) 2 (c) 4\/5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = w. Let z = -0.1 + 0. Let n = 4.6 - 3.6. What is the closest to z in n, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1305466910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60076.84 grams in micrograms?\nAnswer: 60076840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 43550.\nAnswer: 130650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d)*(2 + 2 - 3) + 3*d - d - d + (3 - 3 + 2*d)*(3 - 2 - 2) + 8*d - 4*d + 0*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/88 and 58\/29095?\nAnswer: 232760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:16 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2158685631 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 525 = 5*g - k, -k + 543 = 5*g. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04089679 + -0.0409. Round i to seven dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10715 - -10714. Let j(d) = d**2 - d + 1. Let p(f) = -f**3 + 2*f**2 - 2*f - 1. Give w*p(m) + 2*j(m).\nAnswer: m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 0, 2*j + 14 = 7*j + 2*x. Suppose -5*n - 57 = 4*c - 160, -j*n = -2*c + 32. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 9*n**2 - 3*n - 27. Let x be w(-9). Suppose -3*g + 2 = -1, 0 = -2*v - 4*g + 8. Let d = x + v. Which is greater: 3\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 777 and 1073037.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 7, -2\/1161?\nAnswer: -2\/1161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, -1 in ascending order.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (16 + (-13 - -15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/21323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*q + 5*q = -75, -2*q = -6. Suppose -h = -3*h + o. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -5*x**3 + 11*x + 33. Let i(k) = -3 + 3 - 2*k + 4*k. Calculate q(i(b)).\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 7*d + 72, 106*a - 53*a - 2*d = 51*a + 48 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248661270 and 414435450?\nAnswer: 1243306350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -29. Let v(y) be the first derivative of -y**3\/3 + 5*y**2 - 9*y - 4. Let z be v(9). Sort o, 6, z in descending order.\nAnswer: 6, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50670, 50643, 50630, 50637, 50670?\nAnswer: 50735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*o - 17 - 5 = 0, 5*f - 5*o = 30. Suppose -f*l = 5*r - 14, -5*r + 5 = -4*l - l. Factor -41*y - y**3 + r*y**3 + 116*y + 125 + 15*y**2.\nAnswer: (y + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -4.06. Let y = -908\/9 - -101. Which is the third smallest value? (a) -2\/7 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -809 + 1504. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**2 + 2*h + 1. Let j be q(-1). Suppose -4*a + 5*n - 12 = 0, 3*n - j = -5*a + 16. What is the tens digit of (-2)\/(a\/(-17))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/(-88))\/(0 - (-2)\/776) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 5:26 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123793883 at least as big as 123793881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26089 divided by -2233.\nAnswer: -3727\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21 - 4*c**2 + 8 - 4*c + 5 + 4*c**3 + 12.\nAnswer: 4*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 708 + -402. Let k(n) = -s*n + 8*n**2 - 9*n**2 - 8 + 313*n. Determine k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(19) + 2 - (-3*sqrt(19) + -4)) + 5 + sqrt(57)\/(sqrt(432)*-2))*-4)**2.\nAnswer: 4180*sqrt(19)\/3 + 241171\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303453218 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 2*x + 5. Let o = 35 + -31. Let s(n) = -6*n**2 + 3*n - 6. Determine o*s(f) + 5*k(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-54))\/(8*5\/240).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238826 + -698243721.\nAnswer: -698004895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/16*1\/(-55). Factor 0*t - g*t**4 - 2\/11*t**2 + 0 + 4\/11*t**3.\nAnswer: -2*t**2*(t - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -23*z**4\/12 - z**3\/2 + z**2. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3*8\/(-8))\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by (-36128)\/(-288) + (-20)\/45?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(104))\/((sqrt(8) - (-4*sqrt(72) + sqrt(72) + sqrt(72))) + sqrt(8)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*s - 279*s + 17 = 44 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 373911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29 and -2\/1415.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 142.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 50 (b) 2\/19 (c) -2 (d) 1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 86\/(-4) + 9\/6. Let f = r - -22. Let p(b) = 0*b**2 + b**2 - 2*b**2 + 2*b**f. Let c(l) = l**2. Determine c(p(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 + 20316?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -2*i - 27*b + 8, 0 = -5*i + 5*b - 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9682184*j**4 + 24326051?\nAnswer: -38728736*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/20*(2 + (-11)\/(-2)). Solve 3*j - 5*a = -12, 3*a - 1 = z*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(-5*y + 4*y + 3*y) + 112*y - 110*y + 2 + 8 + (-2 - 1 + 2)*(2*y + y - 2*y) - y + 5*y - 2*y as w*y + m and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (9 + -41 - 8) - -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -56309?\nAnswer: 1\/56309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3439, -16539, -38373, -68941, -108243?\nAnswer: -156279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 33 = -354. What is the remainder when t is divided by (70\/(-28) + (-3)\/30)*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42479276327\/46953 + 552866167\/999. Let u = 351300 + p. Let y = 12\/47 - u. What is the nearest to 1\/3 in 1\/4, y, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -16) + 439 + -461\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 8*j + 3. Let b(l) = l**2 + 7*l + 4. Let w be b(-3). Let r be p(w). Let x(i) = i + 2 + i**3 - r*i**2 + 0*i**2 - 3*i**3. What is x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (126090\/(-945) - -134)*-175\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 46*z**2 - 3*z + 4. Let h(k) = 46*k**2 - 2*k + 3. Let w(d) = 4*h(d) - 3*n(d). Let v be -1*1 + 2 + -2. What are the prime factors of w(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + -5*(sqrt(13)*1 + sqrt(13)) + 0 + -2*sqrt(13))**2.\nAnswer: -72*sqrt(13) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6902)\/238 + 491\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 940861547\/460 + -2045333. Let d = 91\/5 - j. Let z = d - 35\/46. Sort z, 0.3, -1.\nAnswer: -1, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/6416)\/(-2 + 1). Let b = -110200781 - -265143050633\/2406. Let x = n - b. What is the common denominator of x and -17\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1873 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 309 = -311. Factor -94*o**3 + 15*o - 24*o**z + 79*o**3 - 2*o - o.\nAnswer: -3*o*(o + 2)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*p + 18, 4*n - 2*n = 5*p + 36. Let l be n*1*4\/8. Suppose -l*y + 28 = -2*y. Solve -1 = -3*q - y, -10 = 3*i + 4*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1)*x\/(x**(-1)*x)*x**12*x\/((x*x\/(x*x**(-10)))\/x)*x assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 10. Let n be i(-8). What is the units digit of -1*((-14)\/n + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9992180?\nAnswer: 2, 5, 11, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037373726 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1249, 2475, 3701?\nAnswer: 4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209.53 + 122. What is c rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(4\/15*335\/268)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*r + 1719, 235 + 344 = r - 2*g. Calculate the highest common divisor of r and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596461 divided by -15?\nAnswer: -596461\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873213240 divided by -24.\nAnswer: -36383885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/210 and 26\/(-39) - ((-408)\/285)\/2?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -751997\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1805*a**3 - 247*a**2 + 247. Let h(k) = -180*k**2 - 35*k**3 + 13*k**3 + 592*k**2 - 238*k**2 - 3 - 171*k**2. Determine -494*h(v) - 6*i(v).\nAnswer: 38*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8341 + 4.8341. Let g be (3\/((-27)\/12))\/1. Sort g, c, -4 in descending order.\nAnswer: c, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -25187.\nAnswer: 3\/25187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-173 - -158) + (8 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -32*q + 258. Let j be p(8). Determine i, given that 0*i + 0 - 2\/9*i**j = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.2 + 9. What is the closest to 1 in -1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/4)\/23*12\/4*(-4)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2*d**3\/3 + 8. Let u(k) = 18*k**2. Determine u(f(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 8*m - 3. Let p be t(-9). Let z be (-40)\/p - (-14)\/21. Let u be 156\/(-28) + z\/14. Let j(c) = c**3 + 7*c**2 + 5*c - 8. Calculate j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.03 (c) 218\/5 (d) -3 (e) -37 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*53*(-98)\/36358?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3199, -7419, -12657, -18913, -26187, -34479?\n\"Answer: -509*a**2 - 2693*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -3 (c) -5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158.48981 and 27.\nAnswer: 4279.22487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -353*m**6\/6 + 387*m**3\/2 + 2*m + 482. What is the second derivative of w(c) wrt c?\nAnswer: -21180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12574 is divided by 967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73.2 and 38251?\nAnswer: 38324.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 18*r**2 - r + 5. Is 11 a factor of z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 200, 744, 1812, 3578, 6216?\nAnswer: 9900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/29029 and -6\/77.\nAnswer: 29029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -106800, -106769, -106738, -106707, -106676?\n\"Answer: 31*h - 106831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, 1.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:12 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 294 = 206. Suppose -i = -4*b + 92. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 63717336.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyydyyyyryzyfy. What is prob of picking 1 d and 1 y?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**4 - 31*o**3 + 36*o**2 - 10*o. Let i(j) = j**4 + j**3 + j. Let f(u) = 2*i(u) - k(u). Factor f(w).\nAnswer: -3*w*(w - 2)*(w - 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*j**2 - 39*j**2 + 5*j**2.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -20469\/16 < -1278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5324*s + 10705*s - 5313*s.\nAnswer: 68*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33839375 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 1692 = -70*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135000 and 15000.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 432 - 632?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) 230 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-138)\/((-6)\/(-591921)*-3). Suppose 3661939 = -u - t. What is u rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*f**5 - 126*f**4 - 1299*f**3 - 1656*f**2 - 624*f = 0. What is f?\nAnswer: -52\/47, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.83 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18051018 and 762.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 760012490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j + 62. Let l(t) = 22*t - 4 + 35 + 31 - 5*t. Let c(z) = -5*d(z) + 6*l(z). What is the first derivative of c(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*h - 5*z, h - 4*h + 12 = -2*z. Solve h*t = 8*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k + 2*t - 1575704 = -114*k, 5*t = 4*k - 1575662. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3633\/20 - -842\/5. Let q = 1267\/40 + -273\/10. What is the common denominator of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*j**3*l**2 - 2*j**2*l**3 + 83*l**3 wrt j.\nAnswer: 111*j**2*l**2 - 4*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1410468150 divided by 350?\nAnswer: -4029909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 14) in base 12?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16\/12)\/(1\/(-3)*26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.46 + 2.46. Which is the smallest value? (a) -5 (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1 - (9 + -7). Let r be ((-1)\/j)\/((-4)\/(-64)). Suppose r + 12 = 4*f. Solve -2*x + f*c - 4*c = 10, 4*c = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151221 + -4?\nAnswer: 151215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80*33\/(-10560)*-280?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*n = 5*g - 68, -116 = -5*g - 4*n. Suppose 0 = w + 4*w - g. List the prime factors of (-64)\/w*(-54)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**6\/60 - 4*r**3\/3 + 4*r**2 + r. Let x(k) be the first derivative of y(k). What is the first derivative of x(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403152669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 579453 and 32304?\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 61*a**3 - 18*a**3 - 31*a**3 - 2 - 21*a**3 - 4*a**2 in the form g + n*a + k*a**3 + c*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5941 or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -25. Is 4654\/16 - q\/80 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243\/49, 2\/3, -0.2.\nAnswer: -243\/49, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 233411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 6, -0.1, -4, 77?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 + -68. Let z(q) = -17*q - 7. What is the remainder when n is divided by z(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s - 21. Determine u(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218842\/9 or 24315?\nAnswer: 24315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1011, -2027, -3033, -4023, -4991, -5931, -6837?\nAnswer: -7703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144678253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**7\/1470 - y**6\/840 + 8*y**2. Factor s(i).\nAnswer: -i**3*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1176\/224*1960\/6174\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1097 + -8?\nAnswer: 108a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 6768*l + 6827*l + 16 + (-1 - 5 + 5)*(-1 + 1 - 2*l) as r*l + p and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4830 and 215280?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286232\/445 + 6\/15?\nAnswer: 2, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + 1 + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7264*g**2 + 159864 - 159864)*(-1 - 1 + 0*g + g).\nAnswer: 7264*g**3 - 14528*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b = 0. Suppose 4*p + 169 = -l + 4*l, -243 = -5*l - 3*p. Suppose b = 3*u + l - 246. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 19*x - 180. Let b be -2 + (-143)\/13 + 6. What is t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - q - 5, 4*t = 187*q - 175*q - 3 - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -cc7c3 (base 13) in base 9?\nAnswer: -624127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 37*z**2 - 165*z - 11. What is u(-41)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5324*u + 257463 - 15949 + 211605 = 75115 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 535841 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: Calculate the highest common divisor of 25 and 362.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -54266d?\nAnswer: 542672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2452, 4903, 7354?\nAnswer: 9805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 4*c = 30*s - 23, 0 = 3*c - 12 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1158.97 + -1164. What is b rounded to 1 decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1137*i - 3408. Let f be d(3). Let c(x) = -3*x - 7. Let a(b) = b + 4. Let u = 0 - 2. Let o(t) = u*c(t) - 5*a(t). Determine o(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221\/(-102) + (-8)\/(-12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 979, 754, 529, 304, 79?\n\"Answer: -225*r + 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - k = -8, -5*k = -3*q - 173 + 169 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) 2\/11 (c) -1\/87 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 14. Let j be x(11). Let p be ((-2)\/(-6))\/((-1)\/(-9)). Suppose -j*k - k - p*d - 4 = 0, -d = 4. Solve k*o + 12 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g**3 - 8*g**2 - 31*g - 7. Let n(m) = -3*m**3 + 2*m**2 - m + 1. Determine -4*n(q) - s(q).\nAnswer: -q**3 + 35*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(325) + 2.\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 5)*(3 - 1 - 5)*(0*b + b - 2*b).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*q**2 + 0)*((-4 + 1 + 2)*(q**2 - q**2 + q**2) + 11 + 7*q - 19 + 15 - 2*q**2) as h*q**4 + a*q**3 + w*q**2 + o + g*q and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -18*z**2 - 12*z + 45\/4*z**4 + z**3 - 14. Find a such that v(a) = 0.\nAnswer: -2\/3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17070260 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*y + 181*y - 1537 - 4631 - 555 = 0 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (768\/34)\/16*3\/24?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409572.\nAnswer: 2, 3, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7425.766 nanoseconds in seconds?\nAnswer: 0.000007425766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16137 - 198?\nAnswer: 15939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -46843*i - 307. Give k(0).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-6) - -4*89?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/21 - 3\/14. Let z = -0.1 - 0.2. What is the second biggest value in -4\/3, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/60 - 5*c**4\/6 - 14*c**3 - 12*c**2 - 37*c. Factor x(v).\nAnswer: -(v + 6)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Suppose -2*g + 10 = 4*a, a = 4*g + 2*a - 13. Suppose -5*i + g*i + 10 = -2*o, -4*i = o - 5. Solve -3*b - 5*t + t - 7 = 0, -p*b + 17 = -i*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 25*b**3 + b**2 - 2*b + 5. What is the units digit of y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 5730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22916 + 22965. Solve -15*w + 22*w = g for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 5*a**4\/12 - 725*a**3\/6 + 2593*a**2\/2 + 4013*a. What is the derivative of h(y) wrt y?\nAnswer: 10*y - 725","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:25 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 30 = u, -5*v = -15. What is the highest common divisor of 435 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**6\/10 + 3*v**5\/2 + v**3\/2 + 4*v - 1. Find the second derivative of r(l) wrt l.\nAnswer: 36*l**2 + 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 19. Let f be (15 - 5)\/(8\/4). Let j be l(f). Let a be (5 - j) + -1 + -10 + 11. Solve 3*k + 18 = -y, 11 = -a*y - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, g: 2, d: 2, z: 3}. Give prob of picking 1 z, 1 c, and 1 d.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 361*n - 5411. What is o(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.5218 millilitres in litres?\nAnswer: 0.0385218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1739 + 1806.8. What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w + 56*k = -79*w - 901, 2*w - 4*w + 3*k = -46 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52262\/429, 0.4, 0?\nAnswer: 52262\/429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 8*x + 9. Let p be o(-9). Let m be (1 - 1) + (-2 - 15\/(-3)). Put p, 9, 2, m in descending order.\nAnswer: 9, m, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73383 - 18287 = 897*j - 13076 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 138262, 138254, 138246, 138238, 138230, 138222?\n\"Answer: -8*f + 138270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12) + 17\/3. Let o = -12035\/7 + 1722. What is the common denominator of ((-6)\/10)\/((-2)\/l) and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -356 - -335.7. Let m = 5.5 - w. Let l = m - 25.800153. Round l to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/3)\/(88\/(-36)). Is 0 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 6) in base 13?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -164, -251, -308, -299, -188, 61, 484?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*r + 99*r + 84*r = 260, -3*r = -5*j - 110 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -5*p - 12. Let b be 2\/p*(2 + -6). Let l be (3 - 10\/3)\/2. What is the nearest to -0.3 in l, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 15\/2 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6) - (-6)\/9. Suppose v - 62 = -0*b - j*b, -b - 212 = -4*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 55. Let q be w(11). Let n = 71 - q. Solve 3*l + 2*c + 20 = 0, 0 = 4*l - 2*l - n*c - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4 + (-1 - 2 + 1)*(1 - 4 + 2))*((0 - 1 + 2)*(-3*s - s + 2*s) + 3 - 3 + s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.22 + -2.22. Let q be (6\/2)\/(3\/5). Sort q, -0.1, 3, g in decreasing order.\nAnswer: q, 3, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/((-14)\/(-35)*2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**5\/300 + l**4\/40 - l**3\/15 + 4*l**2 + 5. Let g(q) be the second derivative of t(q). Let g(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.37, 2, 3, -4, -2\/5, -1\/11 in decreasing order.\nAnswer: 3, 2, -1\/11, -0.37, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-4)\/(20\/15)). Suppose 2*v - 26 = -d*v. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/(28\/8 + -4). Let k(j) = 106*j + 1. What is the units digit of k(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 4) in base 3?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19531109.\nAnswer: 13, 1171, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*a + 2*i, a = 2*i - i + 2. Let b be a\/((-21)\/(-6) + -3). Suppose 2*f = b*n + f - 48, -5*n = -2*f - 121. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -20, -74, -184, -368, -644, -1030, -1544?\n\"Answer: -3*y**3 - y**2 + 8*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032 (base 5) in base 4?\nAnswer: -2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 - 2.4. Let j = r + -0.3. Let q be (-1)\/((2\/4)\/1). Which is the second biggest value? (a) j (b) q (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 3*p**4 + 4*p**5 - 2*p**5 + 2*p**5 - 2*p**5 + (-3*p**2 + 7*p**2 - 3*p**2)*(p**2 - p**3 - p**2) - 4*p**5 + 0*p**5 - p**5.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 844655701 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/19357 + -7355678\/174213. Let c = -42 - l. Let s = 4 + -2. What is the third biggest value in c, 1, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -562, -1262, -2242, -3502?\nAnswer: -5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9622, -9610, -9576, -9508, -9394, -9222?\n\"Answer: 2*g**3 - g**2 + g - 9624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (9 - (9 + 8 - -7)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11506, -11510, -11506, -11494?\n\"Answer: 4*q**2 - 16*q - 11494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g**2 - 11*g - 1. Let r(j) = -24*j**2 - 17*j - 1. Let d(p) = 5*r(p) - 8*x(p). Let u be d(-3). Suppose 4*t - 350 = u. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:53 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 36*t**4 + 34*t**4 + 4*t - 2*t**3 + 2 - 3*t as j*t**2 + v + h*t + r*t**4 + l*t**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac7488 + 2?\nAnswer: ac748a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/349912 and 95\/12224?\nAnswer: 2799296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/15)\/(-4)*12\/444. Let i = 76387\/2747990 + -467\/2122. Let l = i - j. Is 0 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1714 - -65133\/38. Which is greater: q or -50?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 235938*u - 1415700.\nAnswer: 2*(u - 117975)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 - -14?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -39. Put r, 1\/2, 0 in ascending order.\nAnswer: r, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5370)\/1253)\/(3\/7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.1 - 19. Let s = -0.5 - l. Let d = -0.5 + s. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1273164)\/56169*(-2 - 11\/(-4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let q = 36 + -31. Let z(o) = -7 + 2*o + 12 - q. Give t(z(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 429.0501 + -429. Round d to three decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5526, 22104, 49734, 88416?\nAnswer: 138150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23200027 - 104199.\nAnswer: 23095828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34 - -0.04. Let p = -49517000\/400253 - 2\/57179. Let m = -124 - p. What is the third biggest value in -1\/7, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*b**3 + 40609863*b**2 - 13743010137816*b + 1374300607683.\nAnswer: -3*(b - 676831)**2*(10*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -121, 1483.81, -0.5, 0.4 in decreasing order.\nAnswer: 1483.81, 0.4, -0.5, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2327*i**2. Let b(t) be the first derivative of -t**2 + 4151. Give f(b(d)).\nAnswer: -9308*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let j(r) = -368869*r. Calculate j(y(v)).\nAnswer: -368869*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/28*(0 + (-5 + 26)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -7*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(7\/21)*10575\/(-7614).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/9)\/(6 + 290\/(-45))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 12) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 21 = 8*v - 54, 0 = -4*v - 36. Calculate the greatest common factor of 5320 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 383500\nAnswer: 383495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(8) + 2)**2 + sqrt(2) - ((sqrt(6)*-2)\/sqrt(3))**2.\nAnswer: 17*sqrt(2) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -54*p + 95*p - 53*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37842 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (396\/(-77))\/2 - (-3)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/176*12)\/(2\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 37, 76, 133, 214, 325, 472?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 2, -11, -0.3, 0, -5, 80?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, -1542, -1, -2 in increasing order.\nAnswer: -1542, -34, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7054 - -7052. Sort 5, u, -37, -5 in ascending order.\nAnswer: -37, -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 2 + (-4)\/(-16). Let f(z) be the second derivative of 0 - 3\/110*z**5 + y*z - 2\/33*z**4 + 2\/11*z**2 + 1\/33*z**3. Factor f(h).\nAnswer: -2*(h + 1)**2*(3*h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(3 - 72\/21). Suppose -235 = -2*v - q*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29.2? (a) 8 (b) 589 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*1*sqrt(68)*2)\/((-1*sqrt(768))\/(sqrt(96)\/sqrt(128))).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(175) + sqrt(112)*-2 + (sqrt(28) - (-2 + sqrt(4032))) + -2)**2.\nAnswer: -100*sqrt(7) + 4379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2829 - 1267 = -m + 5*c, c = -5*m + 20558. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 - 2*h**2 - 2*h. Let f(r) = r**3. Let i(y) = -10*y. Let s be i(15). Let w be (-25)\/s + 7\/(-6). Calculate w*j(x) + 5*f(x).\nAnswer: -x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:36 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:22 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*i + 6, 0 = j - 5*i + 20 - 46 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -11*d + 133. Let p(v) = -1 - 9 - 3*v + 0 + d. What is p(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*l, -5*l = 4*v + 358 - 390 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2789 - 1961. Solve y*z + 18 = 834*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 774 + -678. Suppose -16*o = -19*o + y. Which is greater: 36 or o?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.044 + -7.2\nAnswer: -7.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35796 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 6)*(70*b - 37*b + 113 - 37*b) to the form q + h*b and give q.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139326411 is divided by 399.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 + 36*a**4 + 120*a**3 + 184*a**2 + 132*a + 36.\nAnswer: 4*(a + 1)**3*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309260?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.64 + -0.24. Let w = d - -2.6. Let s = 0.12 - -4.88. Put -2\/15, s, w in increasing order.\nAnswer: -2\/15, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 8 - 67)*(-2*w**5 - 5*w**3 + 5*w**3).\nAnswer: 102*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4481716\nAnswer: 1\/4481716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 99*b**7\/14 + 15*b**4 + 2*b - 90. Find the third derivative of f(x) wrt x.\nAnswer: 17820*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p + 0 - 70*p**2 + 1\/8*p**4 - 1\/120*p**6 - 1\/3*p**3 + 0*p**5. Factor l(o).\nAnswer: -(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-3)\/(-3))*-1. Let b be (0 + (-2)\/1)*s. Let p(d) = 7*d - 3. What is the units digit of p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + a = -4*a + 13, 4*a = -l + 10. Let f = l - -28. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 + 3*u + 5. Suppose 5*p + 4 = 44. Suppose 11*w = p*w + 12. What is a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/108846 and 91\/186.\nAnswer: 3374226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 286, 1036, 2506, 4936, 8566, 13636?\nAnswer: 20386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 222221 (base 4) to base 2\nAnswer: 101010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-one halves of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:21 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 266\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12462)\/(-2418) + (-7 - -1 - -1). Let p = 30.7 + -5.7. Let o = 24.7 - p. Which is the second biggest value? (a) -3 (b) x (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7219 + 2*u**2 + u**2 + 5*u**3 - 14900 + 7453.\nAnswer: 5*u**3 + 3*u**2 - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 5 = 11*f. Suppose -2*a = -4*v - 56, -7 = -2*v + f. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 503, 502, 501?\n\"Answer: -s + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 214771971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062878 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 7, 10, 29, 70, 139, 242, 385?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5ddbe8 (base 16) to base 13\nAnswer: 1374a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 + 3 = 0. Suppose 2*k - 10 - b = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/990 and -131\/4554?\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 285705952739 + 0.1.\nAnswer: 285705952739.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -72*v**3 + 23*v**2 + 47*v + 6. Let z be s(-8). Round z to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 6*c - 9. Let n be r(8). Suppose -37 = -4*q - 5*p, n - 2 = 5*q - 2*p. Let o(l) = l**2 - l - 5*l + 6 + l**3 - q*l**2 - 3. Give o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/105)\/((-6)\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49871154271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 170 = 8*h. Let i(g) = g**2 - 11*g - 99. Calculate the lowest common multiple of 24 and i(h).\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1164943365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 293?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*n + 10 = 0, 33 + 27 = 6*d + 2*n. Let g = -2 - 3. What is the second smallest value in d, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 165996. Let r(b) = 664*b**2 + 4*b - 10. Let c be r(5). Suppose j - h = -4*j + n, -j + c = 5*h. Round j to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:21 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + sqrt(1331) + 1)*-2 - (sqrt(1331) - 1*sqrt(1331))*-1) + (4*(sqrt(1331) - -3*(sqrt(1331) - (sqrt(1331) + sqrt(1331)*1 + sqrt(1331)))))**2.\nAnswer: -44*sqrt(11) + 532398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1363*y - 4390. Calculate the remainder when g(-4) is divided by 119.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 236.\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14400360 by 51.\nAnswer: -282360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88da77 (base 14) to base 7.\nAnswer: 54335010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -7. Let f be (-6)\/v - (-1)\/1. Suppose -2*o - f + 26 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57037 is divided by 11407.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 112916 + -3.735?\nAnswer: 112912.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/8 and 3\/(-4) - (-285)\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**3 - 4*a**2 - 4. Let w(q) = -7*q**3 + 4*q**2 + 2*q + 3. Let r(p) = 4*w(p) + 3*x(p). Determine m, given that r(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {a: 15, k: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 3, 3*j + 3*n - 6 - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 2:09 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 divided by 18?\nAnswer: 427\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - (11 + -2 - 19)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x - 1701*x**2 - 1628*x**2 + 3407*x**2.\nAnswer: 78*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 + 151. Let x(m) = m**2 + 3*m + 5. What is the units digit of x(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g + 156. Let p be k(-26). Suppose r + 6 = -s, -4*r + p*r - 26 = 5*s. Put 3, r, -3, -5 in descending order.\nAnswer: 3, -3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392316669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2)*(3*n + n - n)*((1 + 0 - 2)*(1 - 3 - 4) - 3 - 1 + 3).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2960.017 - -2960. Which is the closest to -0.1? (a) 5 (b) 0.1 (c) -0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*m + 86, -r + 2 + 46 = 3*m. Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 2)*(0 + 2 - 4)*(165 - 29 + 178)*(-h - 2*h + 5*h).\nAnswer: -6280*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 234*d**3 - 17*d - 956*d**3.\nAnswer: -722*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239545, -479114, -718683?\nAnswer: -958252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -448 + 4922\/11. Let j = 0.174 + 78.226. Let o = -78 + j. Which is the nearest to -1\/4? (a) -1 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, u: 3, w: 5}. What is prob of sequence uww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 156556.\nAnswer: 2035228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/134 and -3\/335.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 + -107. Let d be (-5 - -2)*(-2)\/(-6) - c. Solve 0*f - f = d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 372\/5. Let c = -128 + 126.28. Let s = c + 2.22. What is the third biggest value in 3, j, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 1494*h + 73 + 1500*h + 0*h**2 + 91 + h**2 as a + f*h + r*h**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -25. Suppose -3*v = -5*t + 40, -v + 14 + u = 3*t. Suppose -4*m = -6*m + t. Solve -4*k - 28 = -m*y, 10 = 4*y - 2*y - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 35 + 52*x**2 + 82 - 48*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 576. Calculate the remainder when c is divided by ((-319)\/(-121))\/(163\/1793).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 340575*k**5 - 4*k**2 - 10*k + 502?\nAnswer: 20434500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1617? (a) -0.1 (b) 2\/9 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 + -260. Suppose -5*i = 5*j - 125, j = -6*i + i + g. What is the highest common factor of 399 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 110, -26, 0 in ascending order.\nAnswer: -26, -3, 0, 2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqfeefrferfriee. Give prob of picking 1 r and 3 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 1 + 1 + 14*p + (-2*p + 0*p + p)*(2 + 2 - 3).\nAnswer: 11*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2, b - 795 + 48 = -4*i. Calculate the greatest common factor of 272 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 6641296?\nAnswer: 73054256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1524*w + 292*w + 550*w + 1.\nAnswer: 2366*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (8 + 1) - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and ((-8)\/5)\/(120\/(-300)).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, a: 4, y: 1, m: 2}. Give prob of sequence ja.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkdskkt. Give prob of sequence kks.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*((-15)\/(-585))\/((-2)\/12).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 88*c - 6. Let v(u) = 4*u**3 + 177*u + 14. What is 7*h(x) + 3*v(x)?\nAnswer: -2*x**3 - 85*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 26\/7, 310 in decreasing order.\nAnswer: 310, 26\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*4\/(-36)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w - 7*w**3 + 6*w**2 + 53*w**2 + 31*w + 22*w.\nAnswer: -7*w**3 + 59*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 not equal to -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:28 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 90*y - 423*y - 19*y - 16*y**2 + 11. Determine b(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-4) - (6 + -5). Let l = -125 - -126.81. Let q = l + 0.19. Put 4, q, d in ascending order.\nAnswer: d, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -3b?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 157557688, 4 in increasing order.\nAnswer: 4, 5, 157557688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*z - 480*z = -1392. Calculate the greatest common divisor of z and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, d: 1, p: 2}. What is prob of sequence pj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.073 + 0.073. Let t = -25.3 - u. Which is the nearest to t? (a) -2\/9 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Suppose 0 = -5*w - 19 - 1. Calculate the least common multiple of 4 and d\/((-2)\/(-2 + w)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -94, -139, -184, -229?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + (37695\/(-2565) - -15)*-1. Which is the third biggest value? (a) 105 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -0.1 (c) 2\/11 (d) -90 (e) -3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 180\/(-56)*96\/(-144). Which is the closest to 1? (a) 5 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x + 22 - 33*x - 3739*x**3 - 21 + 14*x + 8*x to the form v*x + t*x**3 + j*x**2 + b and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s - 22. Let q be b(4). Suppose 0 = -13*i + q + 7. Solve m - i = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4024933165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074264353 to five decimal places.\nAnswer: 0.00743","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000519468838 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1536 and 1704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibyy when four letters picked without replacement from {y: 7, i: 9, b: 2}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 3\/691, 0.06, -11 in descending order.\nAnswer: 0.5, 0.06, 3\/691, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1 - 15*i**3 + 14*i**3 - 2*i**2 + i**2. Let g(u) be the third derivative of -u**5\/60 + u**4\/24 + 2*u**2. Let a be g(2). What is o(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 52. Let q(g) = -u*g**2 - 78 + 78. Let z(t) be the second derivative of -t**3\/6 - 5*t + 30. Determine q(z(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6216)\/(-420) - (20 - 1).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/1231 and -13\/2?\nAnswer: 2462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/3 + 8\/24. Suppose -3*u + o = 2*u + 2*b, 0 = 4*u + 2*b - 12. Find the first derivative of -3*f - 1 + 3*f + f**3 + f**u wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i**2 - 42*i + 169. Is c(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320, -0.2, 2346, 44 in ascending order.\nAnswer: -0.2, 44, 320, 2346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-82)\/41)\/(9\/1))\/(7\/1386)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 61*w**2 - 102*w. Let b(i) = 31*i**2 - 51*i. Let q(k) = -13*b(k) + 6*r(k). What is the second derivative of q(s) wrt s?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + (-888)\/(-66) - (-4)\/(-33). Let q be (-1)\/5 + (-3)\/35. What is the nearest to -1 in q, 6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1)*p*p*p)*p*p**(-9)\/p)**(40\/7)*(p**6\/p**(6\/11))**36 assuming p is positive.\nAnswer: p**(10720\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14720 and 667276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -87. Which is the second biggest value? (a) -1 (b) o (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/4 - 3*g**3 + 17. What is the third derivative of u(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11493 and 257954?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7980 and 1425.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -166, -199, -252, -331, -442?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(3) + -1 + (sqrt(147) + 1 + sqrt(147) + sqrt(147))**2) + (sqrt(108) - (sqrt(108) + 2) - (1*sqrt(300))**2).\nAnswer: 215*sqrt(3) + 6313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*v**5 + 88*v**4 - 5472*v**3 - 1457*v**2 - 3*v + 498 wrt v.\nAnswer: -5940*v**2 + 2112*v - 32832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4182 and 70063834.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 429735 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 6. Let l be g(3). Suppose l*s = -5*s + 315. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y - 3*y. Suppose r**3 + r - 5*r - r**3 - 4*r**3 - 8*r**y = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*i - i - 6, 0 = -5*y - 4*i + 10. Let t be ((-2)\/(-4))\/((-1)\/y). Let c(h) = h - 6. Let v be c(8). Sort v, t, -3 in descending order.\nAnswer: v, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19497 by 67.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - -1)*2\/5. Suppose 2*j - 24 = -4*v, -6*j + 24 = -3*j + 3*v. Solve -2*c + 17 = -3*h + j, 2*h + 12 = -s*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 497*a - 4933. Determine s(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 4*z**4\/3 + 47*z**3\/6 + 8*z**2. Differentiate o(i) wrt i.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + -2302246?\nAnswer: -2302215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40685)\/(-4635)*36\/(-8)*(-3)\/(3\/(-2))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*n = 0, 5*a - 5*n - 9*n = -18*n - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -738.999712 - -739. What is s rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201, -1206, -1211, -1216?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -304\/9. Let z = 45.69 - 47.7. Let o = -0.01 - z. Which is the third smallest value? (a) f (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 90 - ((-3 - -4) + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3144 = w - 7*n + 698, 4*w - 2*n = -15238. Put w, -3, 3 in decreasing order.\nAnswer: 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-25)\/(750\/(-20))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1133391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14\/c)\/c**16 assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/16 and -83\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28629 is divided by 4082?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from jggogjhjohjjjjh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 58.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*k - 55965 = 2279*k for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5\/(-60))\/((-1)\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.52412 + 372\nAnswer: 370.47588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221 - 6210*c**2 + 6300*c**2 + 227 + 10*c)*(-c + 4*c - 5*c).\nAnswer: -180*c**3 - 20*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0*r + 0 + 1 + (5*r - 4*r + r)*(3 + 2 - 3).\nAnswer: 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7fa (base 16) to base 10.\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 41\/(-1) + (-2 - -1). Let w = -28 - g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 40995*l + 245790.\nAnswer: 5*(l - 8193)*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**2 - 5*q + 1. Let b be -4 + 2*(1 - 2). Is w(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - -20169130366.\nAnswer: 20169130417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -205. What is the remainder when j is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3) + (-4)\/2. Let m(z) = z**3 - 9*z**2 + 14*z + 2. Let p be m(7). Suppose -p*h = 3*h + 10. Which is greater: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:02 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -31 + 11, 2*q = -f + 41. Suppose c + c = q. Let m be ((-6)\/(-2) - c)*-1. Solve a = m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - -0.58. Let g = k + 0.04. Sort -1, -2, g in descending order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2456 = -4*t + 290, 5*t - 1645 = -3*f. Is f a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, r: 6}. Give prob of picking 1 r and 3 t.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162255316?\nAnswer: 2, 173, 234473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/(-21))\/(-18))\/((-48)\/15264).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 2 - (-2)\/(-2). Suppose -6 = n*q - 24. What are the prime factors of (4\/(-6))\/((-3)\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/2, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/12)*(o**0*o)\/o assuming o is positive.\nAnswer: o**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2120245 and 775.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddcctdrrrrrrrdcd. What is prob of picking 2 d and 2 c?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165808 and 11352?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20 >= 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 16*t + t**2 + 1 - 11*t - 5*t. Let m(v) = -v**3 + v**2 - 1. Give -i(l) + m(l).\nAnswer: -l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/97154 and 113\/310?\nAnswer: 485770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -753 (b) 3\/11 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:20 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 26. Suppose 0*t - y = -3*t. Suppose 20 = t*h + 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 value of 2*((-2756)\/9646)\/((-1)\/13)?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6849208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 1326?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4208182.\nAnswer: 2, 11, 191281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/539 in -65, -2\/7, 0, -60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 7:17 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -42. Suppose 3*d - 159 - 47 = -j*h, 2*h - 5*d = 90. Suppose 5*l - 2*x - h = -0*l, -9 = 2*l + 5*x. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -54488*z + 68600396. Calculate w(1259).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -38, -104, -208, -356, -554, -808?\n\"Answer: -m**3 - 10*m**2 + 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680856103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310 + 313. Let k(o) be the third derivative of o**5\/60 - 7*o**4\/24 + 5*o**2. Let y be k(7). Solve -7 = z - b*c, 5*c = -3*z - y + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2102201021102?\nAnswer: 2102201021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(112) + (sqrt(112) + sqrt(112) + -1 - sqrt(112))) - ((sqrt(112) - (sqrt(112) + 0)) + sqrt(112) + 3) - (-5 + 4*-2*sqrt(112))) + -1)**2.\nAnswer: -544*sqrt(7) + 32384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 (base 6) in base 3?\nAnswer: 201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from sglsulgggglu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 + 100*h + 2124 = 0. Calculate h.\nAnswer: -18, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 2294442?\nAnswer: 9177768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -3*s - 7\/2*s**2 + 0 - 1\/20*s**5 - 5\/3*s**3 - 1\/3*s**4. Is w(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-16))**(-14\/3)*(n\/n**(32\/7))**(-10))**(-24) assuming n is positive.\nAnswer: n**(-18544\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602972?\nAnswer: 2, 3, 7, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(117) + -5 + sqrt(117) - (sqrt(117) + -2)*-6) + -4)**2*-1.\nAnswer: -1494 + 378*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(209)*2 + sqrt(209)) + sqrt(209))\/(sqrt(176)*-5 + sqrt(11)) - (-1 + sqrt(1216) + -1 + 3)**2)*2.\nAnswer: -2434 - 628*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(231\/14 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -39*i + 17*i + 54. Solve -12 = 3*k + i for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -7, -81, -21859?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2839475496?\nAnswer: 2, 3, 11, 13, 241, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-20))\/(6\/80). Solve s*o + 8 = 12*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 637*p + 636*p, 2*p + 12 = -4*f. Which is the closest to 0? (a) 27 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g**3\/5 + 2654*g**2\/5 + 8786*g\/5 + 2634\/5 = 0. What is g?\nAnswer: -439, -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**2 - 3*n**2)*(5 - 5 - 14) + 4*n - n**2 - 4*n - 4*n**2 - 2 + 2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*-44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -17, -60, -141, -272, -465?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = 14*p - 24*p - 92*p. Let t = 72 - 46. What is the remainder when t is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 1, -0.3, 3\/11 in descending order.\nAnswer: 1, 3\/11, -0.3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.335 * 1\nAnswer: -0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, 12, 0.25, -5 in ascending order.\nAnswer: -5, -4, 0.25, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -525 + 178 - 10*r + 174 + 177 + 37*r in the form z*r + u and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 126. Suppose -k + 2*a + 24 = 166, -u*k = -a + 692. Is k > -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176)*-2)\/(2*-2*sqrt(4) + -2*sqrt(144) + sqrt(144)).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 - ((27 - -39) + -194)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - (9 - -75) - (-1 - -8 - (4 - 4)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-1 + 0 + 3)*(9*w + 3*w - 5*w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Let j(t) be the second derivative of t**6\/720 + t**4\/4 + 5*t. Let q(z) be the third derivative of j(z). Calculate c(q(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -21)*(-14)\/4. Let y(f) = -4*f**3 + 17*f**2 + 27*f - 5. Let c be y(5). What is the greatest common divisor of j and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/17741, -8 in increasing order.\nAnswer: -8, -1\/17741, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 14*q**2 - 4*q. Let f be u(12). Let s be -4*(-188)\/f + 4\/(-30). Suppose 0 = 2*c + 7*w - s*w - 102, -c - w = -51. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8230004551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -37, -34, 12 in ascending order.\nAnswer: -37, -34, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 884*v**2 + 2*v - 884 = 0. What is v?\nAnswer: -1, 1, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 19*u**2 - u + 39. Calculate the remainder when 55 is divided by p(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + -12?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7917 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 9\/5, -2\/5, 3\/5, 5\/3, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.331 + 5.331. What is the fifth biggest value in 0, -2\/9, j, -155, -0.1?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*w + 115, -4*s = 2*w - 1 - 79. Let c = s - 43\/2. Is c at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 403.045 litres?\nAnswer: 403045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.54 - -469.46. Let r = s + -1467. Let g = r - -1043.9. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2117225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + 7 + -8 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 18140*a**2 + 41132450*a.\nAnswer: 2*a*(a - 4535)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 400 = 5*i - 0*q, -15*i - 2*q + 1174 = 0. Calculate the greatest common divisor of i and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 17. Let l(v) = -i*v - 10 + 1 - 19. List the prime factors of l(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200211 (base 3) to base 8.\nAnswer: 5207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -7*(-1)\/((-35)\/(-380)). Suppose 53 = -7*k + g. Solve -2\/3*n**2 + 0*n**k + 0*n + 2\/3*n**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1074 and -7\/175957?\nAnswer: 1055742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 906, 3553, 7964, 14139, 22078, 31781, 43248?\n\"Answer: 882*b**2 + b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/56 + 14\/4. Suppose -k*x - 24 = 4*g, 0 = 9*x - 11*x + 3*g - 12. Which is the closest to -0.2? (a) -0.2 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1500 and 14644120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*2 + -1 - sqrt(200).\nAnswer: -1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/36 - 11*a**3\/18 + 40*a**2\/3 + 217*a. Factor x(m).\nAnswer: -(m - 5)*(m + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 171?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 69. Suppose 4*k - h = -k. Let i(a) = a**3 + 12*a**2 - 455*a - 177. Let u be i(-28). Solve 0 = -4*y - 4, -u = -5*c + y + k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12400127 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 48*h - 836 = 0. Suppose 5*a = -4*v + 8*v + 836, -2*v - h = 5*a. Which is greater: -208 or v?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 443499846683 and 2.\nAnswer: 443499846685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*o**3 + 2555785*o**2 - 4046785*o + 1064950 = 0. Calculate o.\nAnswer: -42598, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13569532*p - 13569532*p + 52*p**3 - 5.\nAnswer: 52*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89087*l = -89110*l - 1610 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*f - 9*f + 1599. Suppose 41*t - 184 = f*t. Which is smaller: t or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 0.1. Let d = -0.8 + q. Which is the biggest value? (a) 0 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113724517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.119101 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and 120.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -109 - 54566?\nAnswer: -54675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/248 and 27\/4?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 52037460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*o*y*z - 20027*d*o + d*y**2 + 2*o*y**2*z - 26*o*y**2 - y**2*z - 8*y**2 + z wrt y?\nAnswer: 2*d + 4*o*z - 52*o - 2*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10209 - 0.084728?\nAnswer: -10209.084728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134439669\/732 - (2 - 18\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 259*y + 5581 - 31482 - 20719. Let o = -30 + 56. Calculate the remainder when y is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021847, -4087315, -9196405, -16349117, -25545451?\nAnswer: -36785407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 2*v**2 + 34*v + 110. What is j(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 + u + 20. Let i be l(0). Let z = -461 + 491. Calculate the highest common factor of z and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 10. Solve -3*l + 17 = x, 4*l - 3*x - w = 2*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11388 - 11584 - (-97 - -1)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 + 5. Let x(s) = s**3 - 4*s**2 - 4. Let y be 3\/(-9) - 13\/(-3). What is y*g(i) + 5*x(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -131. Let d = 39.9 + 12.1. Let g = d + -51.9. Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.547 times -74753\nAnswer: -190395.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 340786667\nAnswer: -170393333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 + (243 - 250).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4238 = 5*d + 2*o, 146*d - 147*d + 838 = -2*o. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/55 - 84\/(-22). Suppose 0 = -4*t - r, a + 0*t + 4 = -t. Let d(u) = -5*u + 3. Let j be d(a). Solve 3*k - 2*o = -0*k + 16, -2*k = -5*o - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1916747 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)*(744 + 6). What is b rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 6*r - 10. Solve 4*x + 6 = r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 17*j + 1436. Let p = j - -477. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/(((-128)\/(-40))\/(-16)). Let r(c) = c**3 + c**2 + c - 1. Let m(d) = 4*d**3 - 3*d**2 - 2*d + 4. Determine q*r(f) + m(f).\nAnswer: 6*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - -10 - (-2 + 4)\/(-2). Suppose x = -k + 39, 0 = x + x - p*k - 58. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6.2. Let v = t + 0.2. Let r = -0.098 - -0.398. What is the third smallest value in 3, v, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -732702 (base 9) to base 12\nAnswer: -18b925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -107, -179, -275, -389, -515, -647?\n\"Answer: b**3 - 21*b**2 + 14*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - (-4 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120 (base 10) in base 9?\nAnswer: 7018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + -2 + (-6)\/(468\/(-822))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*q + 213*q - 41679 = 320*q for q.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9521 is divided by 106?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k + c, -55 = k - 6*k + 2*c. Let s be k*(0 - -1)*-1. Let j = 21 + s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 45 = -t. Suppose 2*b = 7*b - t. Suppose 4*a - 3*n - 19 = 0, a = -a + b*n + 11. What is the highest common divisor of 6 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 12 + -25 + 13 - (9 - 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 1 + 1 + (-2 - 1 + 2 + (-2 + 2 - 2)*(-1 + 3 - 4) + 3 - 5 + 4)*(10*t + 31*t - 22*t).\nAnswer: 93*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5 + 258*l**4 - 1328*l**3 + 1608*l**2 = 0.\nAnswer: -134, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - w - 2 = 0, 5*c + w = c - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(45\/(-54)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m + m)*(1187 + 357 - 395 + (1 + 0 + 0)*(-4 + 4 + 2)).\nAnswer: 1151*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t + 438 + 170 - 118 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*x - 6028, 0 = -3*j - 233*x + 232*x + 9042. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let f(n) = 1725*n**2 + 4101*n**2 + 7994*n**2 - 3100*n**2. What is f(p(k))?\nAnswer: 42880*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, t: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40590 divided by -357?\nAnswer: 13530\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -281388 (b) 28 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -2\/245 (c) 0.2 (d) 0.6 (e) 340\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 22*b + 43. Let k be h(-8). Let r(f) = -39*f**2 + 24*f. Let n(d) = -11*d**2 + 7*d. Determine k*r(t) + 18*n(t).\nAnswer: -3*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -8 (b) -2 (c) -2\/17 (d) -32\/5 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 + 226.00017. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.5 (c) 2\/5 (d) 4 (e) 8 (f) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -101302011131333?\nAnswer: -101302011131333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 15, z: 3}. What is prob of picking 1 a and 3 z?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -136?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30852.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1942 - 3943*n**3 + 3882 - 1940.\nAnswer: -3943*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 7. Let i(v) = 3*v**2 + 23*v + 7. Let q(m) = -2*m**2 - 15*m - 5. Let c(o) = -5*i(o) - 8*q(o). Calculate c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.11, 5, 1, 2\/11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-643*f - 2 + 70*f + 27*f + 2).\nAnswer: 1092*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10762224 and 2329008?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*d = -2*d - 12, -j - d = 9. Let q = -14 - j. Let k be (-16)\/(-6)*q\/6. Which is the closest to k? (a) 1\/9 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-6)*v)\/v)\/(v\/(v*((v*v\/(v**4*v))\/v)\/v)*v)*(v**0)**(-1\/72)*(v**(1\/5)*v\/(v*v**(-1\/4)))**(-10) assuming v is positive.\nAnswer: v**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 + 1992*o\/5.\nAnswer: 3*o*(o + 664)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2750 - 2746. Solve -3*m = -u*w - 22, 2*m - 27 = -2*w - 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 338234 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3627 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 981 - 954 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032496804 rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40150 + 40152. Suppose -2*f + 4*q + 3 = f, -5*q = 0. Suppose u = -a, 0*u - f = -2*u - a. What is the highest common factor of x and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 15330.1?\nAnswer: -13797.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*n - 4*n - 7*n + 2*n + 3*n**4 wrt n.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/5)\/((-2)\/10). Let p = -12 - -14. Suppose h = -0*h + p. Solve -2 = -h*v + q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2805805, -2805804, -2805803, -2805802?\n\"Answer: y - 2805806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 400 = 7*t. Let r = 69 - t. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, s: 4, b: 6, t: 6}. Give prob of sequence qs.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b - 4. Let r(v) = -2*v**2 + 8*v + 5. Let s(j) = -4*r(j) - 5*y(j). Let l(g) = g**2 - g - 1. Calculate l(m) - s(m).\nAnswer: -2*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 9*h - 12. Let j be d(7). Let i = 45 + -44. Solve j = -o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuuuuuuouuu.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.035.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(5\/(-75)). Suppose g*u + 320 = 13*u. Is 12 a factor of (5 - 21\/6)*3*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3220 (base 9) to base 13.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.37299 minutes in microseconds?\nAnswer: 502379400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2502*w**3 + 4*w**2 + w - 2. Suppose 11 + 11 = -22*l. Is v(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.47 + -0.37. Which is the closest to -3? (a) l (b) 18 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10\/77383 - -9671045\/14161089. Let r = 1\/61 - g. What is the closest to 0.1 in r, -3\/10, 4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1583959413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:08 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 31 + 3. Let g = -25 - p. Let v be (0\/g - -3) + -1. Solve c - 5 = -v*w - 4*c, -4*w = -c - 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 5, g: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 271?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*z = -145, 2*y - z = -0*z - 73. Let f = -37 - y. List the prime factors of f - (-207)\/(12\/4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -753 - -746. Let h(b) = 7*b**3 + 64*b**2 - 6*b + 9. What are the prime factors of h(q)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 286*a**4 + 390*a**3*c**3 + 711*a*c**3 - 4*a + 11*c**2 wrt a?\nAnswer: 3432*a**2 + 2340*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25637758 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**2 - 228*j + 2808 = 0.\nAnswer: 18, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -35 - (-1 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129274 is divided by 793?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/12 + -77\/36. What is the common denominator of -119\/24 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11294415, -22588818, -33883211, -45177588, -56471943, -67766270, -79060563, -90354816?\nAnswer: -101649023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*w + w - 21, 0 = 2*w. Solve -8 = -3*k + i*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/190)\/((-696)\/(-46284))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*5*(sqrt(1300)*-2 + 4 + sqrt(1300)))**2 + 0)*1.\nAnswer: -72000*sqrt(13) + 1184400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = -27*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 + 206. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11336.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azeffefaefnezzfe. Give prob of picking 2 e and 2 f.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318337 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 (base 13) in base 14?\nAnswer: 10a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 11*m - 12. Let x(b) = -5*b + 8*b - 4*b + 9*b + 8 + b**m - 8*b**2. What is x(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07036 minus -4?\nAnswer: 3.92964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*4\/3. Let z(b) be the third derivative of 1\/3*b**3 + 2*b**2 - 1\/30*b**5 + 0 + 0*b**4 + 0*b. Calculate z(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(108)\/sqrt(3))\/sqrt(12))*3.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -1 (c) 2\/9 (d) -6\/7 (e) 1.25 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 716 = -2*z, 9*z + 2*t = 5*z + 1426. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/(-8)*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -24. Let m = h + -9.00016. What is m rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3836 + -3840. What is the nearest to n in -5, -0.4, 9, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.1. Let h = 1.78 + -1.5. Let d = h - -0.12. Sort d, j, -0.3 in decreasing order.\nAnswer: d, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**2 + 2*i + 37. Calculate l(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15112*k - 8704506. Determine r(-576).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40157113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6721501*h**2 - 371*h - 766.\nAnswer: -13443002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-20) - 1\/(-4). Let q = -2 - w. Let z(a) = 8*a**2 - 2*a - 1. List the prime factors of z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202 and 9235117.1.\nAnswer: 9235319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-3)*(-3)\/12*-3. Suppose -5*f = -c - 7, f + 2*c - 9 = 6*c. Sort p, -5, f, 4 in decreasing order.\nAnswer: p, 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174470*l**3 + 168*l**2 + 2*l - 773049596 wrt l?\nAnswer: 523410*l**2 + 336*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/6 + 3*d. Let g(w) = -2*w**2 + 3*w. Let y(f) = -f**2 + 2*f. Let z(t) = 2*g(t) - 3*y(t). Determine m(z(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 greater than -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 1201?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 5*p + 1. Let b be y(-4). Let v = 6 + b. Let q be 1\/v - 861\/(-9). Calculate the highest common factor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 79200?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 - 5264*w\/13 - 3036824\/13.\nAnswer: -2*(w + 854)*(w + 1778)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k + 4. Determine l(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 891159 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -260, -435, -726, -1127, -1632, -2235, -2930, -3711?\n\"Answer: l**3 - 64*l**2 + 10*l - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**(-10\/13)\/((((u**(-2\/11)*u*u*u*u)\/u)\/u)\/u**(1\/2))*((u*u**(-3))\/u*u**(-3\/5))**(-1\/34) assuming u is positive.\nAnswer: u**(-12398\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*o*y**2 - o*y + 272*o - y wrt y?\nAnswer: 138*o*y - o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + (sqrt(200) + -1)*2 + -4)*-6*2)**2 + -1.\nAnswer: -16320*sqrt(2) + 116355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 + 234*l**2 + 1369*l - 31. Let g be m(-6). Solve 20*r + 1023 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 116.6341l?\nAnswer: 116634.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 875020 divided by -43751\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23717975 and 1901.2?\nAnswer: 23719876.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 4485401.\nAnswer: -4485398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28917 and 273.\nAnswer: 375921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 483.3609 centuries in years?\nAnswer: 48336.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let u = 18.1 + -18. What is the closest to w in u, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*-2)\/(60384\/612 - 98)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(1 - 3 + 0)*(-k + 2*k - 2*k)*(-121*k + 40*k - 166*k)*(2 - 1 + 0).\nAnswer: 494*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*q + 101*q + 250 - 241*q.\nAnswer: 2*q + 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 172 = -5*v. Suppose -3*n - n = 5*r - 94, -2*r + v = -4*n. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 379, 657, 949, 1231, 1479?\nAnswer: 1669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.3 + -21.3. What is the second smallest value in t, 4\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 7. Let z(j) = 2*j - 9. Let m(i) = i - 4. Let a(x) = 7*m(x) - 3*z(x). Let p(t) = -2*a(t) - f(t). Give p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, 1, 3, 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.89 - -0.89. What is the closest to 1 in o, -2\/7, -28\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18479 and 61013?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 42 + 33 - 129*x in the form i + p*x and give p.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 6*w + 2*w)*(-2*w - w + 5*w) + (0 + 0 - w)*(2*w + 0*w - 15*w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 42*d. Let f(a) = 2*a**2. What is q(f(j))?\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24457 is divided by 110.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/147 and 89\/28595420.\nAnswer: 85786260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/2 - 65493*o**2\/2 - 130983*o\/2 - 65491\/2 = 0.\nAnswer: -65491, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m + 2*l - 35, -4*m + 28 = l. Suppose 3*d + 5 = -2*x + 2, -m = -d + 2*x. Let c be 1\/((35\/(-2))\/(-5)). What is the closest to c in -2\/5, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19750 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74997210?\nAnswer: 2, 3, 5, 2499907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1390877.8 + 1361557.\nAnswer: -29320.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 157612 times -4.77?\nAnswer: -751809.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 9\/2*o**2 - 1\/20*o**5 + 7*o - 1\/2*o**4 - 2\/3*o**3 + 0. Is r(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1300\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 200747 times -128.1\nAnswer: -25715690.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x + 3111 = 81*x - 91*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(72 - 2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-3\/4)*d)\/d)\/d*d*d**(-8))\/(d**(-1)\/d)**44 assuming d is positive.\nAnswer: d**(321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75.1474 - -0.0026. Let k = p + 1.85. Let c = -76.808 + k. What is c rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -17 + 1. Let d(j) = 257*j + 8. Let m be d(k). Suppose 0*n = -4*n + m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 46 = 13*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(sqrt(99) - (sqrt(99) + (sqrt(99) - sqrt(99)*-3) + sqrt(99) + sqrt(99) + sqrt(99))*1))\/((2*sqrt(99) + sqrt(99))\/sqrt(11)*-4).\nAnswer: 35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.09, 56?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 69 - 72 - 58 + 199 + 0*t**3 + t**3.\nAnswer: t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56808 by 6.\nAnswer: -9468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16050 (b) -4\/33 (c) -0.1 (d) 0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:24 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 10. Let b be l(-1). Is 17 a factor of (288\/(-10))\/(b\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4129\/42 - -1395\/14. What is the nearest to -2\/7 in 1, t, -0.2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = 6. Let o be 1\/s + 11\/66. What is the second derivative of 4*h**5 + h + o*h**5 + h**5 wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let m(d) = 85*d**2 - 1. Calculate m(g(y)).\nAnswer: 85*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -91, -25 in decreasing order.\nAnswer: -5, -25, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 = s, 416 = -4*o - s + 427 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 13) to base 16\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 3. Let h be a(0). Suppose 0 = h*o - 9, q = -5*o + 24 + 36. Suppose -t + 20 = -q. Calculate the remainder when t is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/107 (b) -1\/3 (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by ((-14)\/35)\/(4\/15)*-126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 5:00 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -3, -16, -55, -132, -259?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1765\/20 + 4)*112\/21. Calculate the greatest common divisor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33888917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/15*(-16 + 1). Suppose v + 3*v = k. Suppose v*w = 15, 5*a + 3*w + 14 = 39. Solve -a*f = 3 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojo when three letters picked without replacement from ojqoeja.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*(-13509)\/195130?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*o**3 + 7*o**2 - 335302*o wrt o?\nAnswer: -384*o + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + g + 1 = -u, -3*g = -4*u - 4. Let c = 4 + u. Factor 2 + 1\/4*a**3 + 3\/2*a**2 + c*a.\nAnswer: (a + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10198 is divided by 89?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2565 (base 10) in base 14?\nAnswer: -d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 5. Let j(y) = y - 6. Let k(d) = 5*j(d) + 6*m(d). Let z(s) = 8*s**3 - 32*s. Determine 32*k(n) - z(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 34*s + 33. Let k be u(16). Let b be (2*k)\/(((-161)\/(-42))\/(-23)). Let r be (-11 - b)\/(1\/2). Solve r*q + 3*q = -20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55600 = 58*y - 54*y. Round y to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2713, 5427, 8143, 10861, 13581, 16303?\n\"Answer: j**2 + 2711*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -235.8858.\nAnswer: -235.7858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = -5*v, -4*v + 1 + 2 = 3*q. Suppose 0 = -u - 4*u - 20, -2*u = 5*d - 22. Suppose d*a = a + 65. Calculate the remainder when a is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 1420 = 1428 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 3. Let f = -66 + 33. Let h = -100\/3 - f. Which is the closest to g? (a) -2\/7 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*sqrt(1078)*6)\/(sqrt(6)\/sqrt(27) - sqrt(8)*-4))**2*4.\nAnswer: 6286896\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocoooccooocooocoo. Give prob of sequence ooo.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633584122 to the power of 1\/3, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -889 divided by -2989\nAnswer: 127\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2488.06490019 - 2487.7649. Let v = -0.3 + j. Round v to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 705181 + -9.163779.\nAnswer: 705171.836221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 270*v**3 + v**2 + 72*v - 201. Let d be p(3). What is the greatest common factor of 212 and d?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150 + 931*f**2 + 5 - 1467*f**2 with respect to f.\nAnswer: -1072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.01 (c) 0 (d) -822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/3 + 39*s**3 + 1521*s**2 + 19773*s = 0. Calculate s.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**21)*l\/(l**(-21)*l) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6432 + -4648. What is q rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51531 is divided by 82.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:09 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z = 2*y + 29*z + 70, 37*z = 2*y + 134 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 11:42 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:05 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-16)*232\/87. Which is the nearest to 10? (a) 2\/19 (b) 0.08 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**4\/11 - 69426*z**3\/11 - 14632380*z**2 - 11389177800*z - 141193206000.\nAnswer: -2*(z + 2310)**3*(5*z + 63)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1988763176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3058, -4506, -5954, -7402, -8850, -10298?\nAnswer: -11746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 13*d**2 + 9*d + 35. Calculate the remainder when x(-9) is divided by 99.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649203 plus 0.2?\nAnswer: -649202.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 158451118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 5*q - 71. Let f be z(14). What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+-1926346.1\nAnswer: -1926354.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4715 + 4725. What is the least common multiple of n and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 1 + (-1142 - -1190) - (0 + 41)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 4*h - 32, -5*h + 8*h - 4 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 2*a**2 - a - 1. Let m be l(-1). Let s(i) = -52*i**3 - i**2 - i + 1. Let c be s(m). What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -160024*r - 44006602. Give h(-275).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 13*y + 14. Let n be t(-14). Suppose h - 5*u = 3*h + 18, -5*h + 9 = -u. Put -3, h, n in decreasing order.\nAnswer: h, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1372)\/(-5) - (-82)\/(-205) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/30)\/(13\/((-468)\/4)). Sort -5, -0.7, u.\nAnswer: -5, -0.7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**2. Let s(j) = 3*j**3 + 190*j**2 + 69*j + 378. Let q be s(-63). Let t(v) be the first derivative of 3\/2*v**2 - 16 + q*v. What is h(t(u))?\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 337 = -z - 14, -2*n + 122 = -2*z. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8605, -34398, -77387, -137572?\n\"Answer: -8598*o**2 + o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000308 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.655016 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1567, -1, 801 in ascending order.\nAnswer: -1567, -1, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 316336802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 4 (c) 0.02 (d) 329 (e) 17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -737*b**2*c**2 + 1978*b*c**2 wrt b.\nAnswer: -1474*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:46 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125356 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 1055 = 1825. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 4 - (52 - 45)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/(-550) - (-252)\/(-22))*11\/(-4)*-2?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -31419324\nAnswer: -1\/31419324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 82*w - 539 = -21*w - 3185 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Suppose 1 = -4*g - 15. Let r be z(g). Suppose 0 = -r*x + 22 + 23. What is the remainder when 42 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174919, 174608, 174297?\nAnswer: 173986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - w**3 + 0*w**4 + 3*w**3 - 2*w + 6*w**2 + 2*w**4 to s*w**2 + q + a*w + d*w**3 + h*w**4 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (1 - (-24 + 5)) - -73?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*r - 41 + 25 - 31 - 25*r as x*r + g and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from bbbbbvvbvaurbva?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaataaaaaaaaaaaaa. What is prob of sequence ata?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 - 6*u - 21. Suppose -5*j = 11 + 9. Let r be h(j). Suppose -4*b = -20 - 28. Calculate the greatest common divisor of b and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150 is divided by 189.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223400, 223393, 223374, 223337, 223276?\nAnswer: 223185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (3 - (4 - -23))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2212812?\nAnswer: 2, 3, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015399034378 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64655 is divided by 16163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 4 + 4 - 2*f**3.\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a3 + -c70?\nAnswer: -d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2 - 3*x + 2. Let m(r) = 33*r**2 + 12*r - 9. Let n(a) = 5*m(a) + 21*z(a). Determine n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -389*d + 383*d + 24. What are the prime factors of -6 + d - (-945 + -1)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 3*t**2 - 7*t + 28 + 5*t**2 - 30. Let n be l(6). What is the second derivative of 4*f - 8*f + f**5 - n*f**5 - 2*f wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116299*z - 232107*z + 2 - 2 + 116279*z.\nAnswer: 471*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 27*k**5\/5 + 852*k**4 + 21756*k**3 + 152544*k**2 + 1483968*k\/5 - 73728 = 0.\nAnswer: -128, -20, -6, -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 342?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 76*g**2 - 371*g + 153. Calculate b(-8).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1.6, 1\/5, -0.4 in decreasing order.\nAnswer: 1.6, 1\/5, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30858732 and 18858114?\nAnswer: 339446052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2455153 by 1.\nAnswer: -2455153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 22 = o, -4*q - 123 = -85*o + 82*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110.4 - -99. Let q = -8.56 - v. Let y = 1.58 - q. What is y rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + k**2 + 2 - 124185*k**3 + 124189*k**3 to the form z + s*k**2 + g*k**3 + i*k and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 15?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 2*h**3 + 5384563*h**4 - 7*h - 5384565*h**4 - 4*h**2 - 11 as f*h + r*h**2 + q*h**3 + t*h**4 + n and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 299*y**2 - 449*y + 44994. Give g(298).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(3\/5))\/(a**(1\/4)\/(a*a**(-6\/5)\/a)) assuming a is positive.\nAnswer: a**(-157\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758740?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -5*k**2 + 0 + 0*k**3 + 0*k + 1\/84*k**8 + 0*k**4 + 4\/15*k**6 + 2\/21*k**7 + 4\/15*k**5. Let g(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, 8, -8, -56, -136?\n\"Answer: -16*v**2 + 64*v - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 - 14984*m**2 + 74764*m + 209496 = 0.\nAnswer: -2, 7, 3741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 55 = -40, 0 = -y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/884 and 131\/156.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3081.1683 + -3081. What is r rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v + 6*v + 2*v)*(-6 - 18 - 16 + 1) - 18 + 6*v + 18 as m + r*v and give r.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1760.669 - -1751.7. What is b rounded to 1 dp?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -87.9999939. What is c rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-10))\/70*12\/16*-10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:27 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*k*u**3 + 2*d**2*u**2 - 3*d*k*u**3 + 62*d*k*u**2 + 2*d*k wrt u.\nAnswer: -12*d**2*k - 18*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.352 - -42.252. Suppose 0 = -4*t - o - 10, 0 = -0*o - 3*o + 6. Let y be (-34)\/(-72) - t\/(-12). What is the second smallest value in y, d, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.5 + -100. Let l = -43.996 - z. Round l to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22120216\/7 less than 3160032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 - 5. Let l = -83 - -83.1. Let h be -1*(3 - 20\/6)*-3. Which is the closest to l? (a) 1 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -501, 0.03149, 3\/4 in descending order.\nAnswer: 3\/4, 0.03149, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141.3 - -141.4017. Round f to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.5 + -13. Let w = 36 + -38. Let d = -28.9 + 29. Which is the closest to d? (a) -4\/7 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (127\/1)\/((-12)\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by -4*(231\/(-28) + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 19 = 5*b. Calculate the remainder when 25 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55191916 + 55191849.000281. Let d = j + 67. What is d rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) -4 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/18019 and -79\/46620.\nAnswer: 22703940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/320*20)\/((-980)\/(-280)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2)\/75*(-145)\/(-29)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2776*-0.7.\nAnswer: 1943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*g + 318 = -34*g. Which is the second biggest value? (a) 0.26 (b) 2.8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 13*m = 1. Let y be 1\/7 + (-12)\/(-14). Suppose -4*c + 6 = -q, -2*c + q = -1 - y. What is the smallest common multiple of c and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 8:49 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 4, s: 4, w: 2}. What is prob of picking 2 w and 1 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*i - 0 + 35, 5*f + 5*i + 75 = 0. Is 6\/(-15)*5 - f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-455706)\/(-3492) + 1\/(3\/45). Solve -216*d - j*d**2 - 3\/2*d**4 - 27*d**3 - 96 = 0 for d.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 63597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 23. Let i = d + -12. What is c in 0 + 2*c**i + 14\/5*c**2 + 4\/5*c = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**6\/3 + 43*u**5\/60 - u**4\/12 + 2*u**2. What is the third derivative of r(m) wrt m?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636*n**2 + 11631 - 11631.\nAnswer: -636*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6883 + -6846 - (0 + 1 + 0 + 1)) + -3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - y = 35, 16*k - 20*k + y = -47. What is the third biggest value in -2, k, -6\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 = -p + 203 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -1472, -3402, -6128, -9650, -13968, -19082?\nAnswer: -24992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5798 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-18)\/(y**(-18\/11)*y))**(-8) assuming y is positive.\nAnswer: y**(1528\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + f**2 + f - 1. Let o be s(1). Let k(d) = -d**2 + 4*d + 1. Let m be k(4). Put o, m, 2 in decreasing order.\nAnswer: 2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 1515*b - 7565. Calculate i(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 26*t**2 + 63*t - 97. Let s be q(28). Solve -81 = -36*b + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 2*y**3 + 1319 + 1323 - 2642 + 141*y**2.\nAnswer: -2*y**3 + 141*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142.867*1.23.\nAnswer: 175.72641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 426376*j - j**2 + 426376*j - 17*j**2 - 21*j**2.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -1*sqrt(153) - sqrt(153))*2)\/(sqrt(450)\/sqrt(2)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:41 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**2*u))\/(u*u**(2\/13))*(u**(-2\/5)\/u)\/((u**4\/u)\/u))**(-45) assuming u is positive.\nAnswer: u**(5004\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 0*p - 29\/5*p**5 - 20 + 0*p**4 + 0*p**3 + p**2. Find the second derivative of x(w) wrt w.\nAnswer: -348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**5 + 33*u**4\/16 + 5*u**3\/4 + u**2\/4 + 5. Solve s(a) = 0 for a.\nAnswer: -1, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let x(t) = -t - 1. Let f(k) = -21*k - 6. Let v(h) = 48*h + 13. Let i(u) = 7*f(u) + 3*v(u). Determine n*i(a) + 8*x(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/(a**(-2\/33)\/a))\/a)\/((a*(a*a*a\/a**(-1\/35)*a)\/a*a)\/a*a)*(a**6)**(3\/10))**(2\/7) assuming a is positive.\nAnswer: a**(-388\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.1 - 19.9. Sort c, 44, -2, 1\/2 in decreasing order.\nAnswer: 44, 1\/2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4378249720?\nAnswer: 2, 5, 13, 701, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.557395 to two decimal places.\nAnswer: 22.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 1, j: 3, u: 5}. What is prob of sequence juzl?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (4 + 505\/15). Let f = w + 683\/21. Find the common denominator of f and 89\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51418, 102853, 154288, 205723?\nAnswer: 257158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -50482 (c) 2\/2463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n**2 + 25*n + 1. Let i(b) = -3*b**2 + 6*b. Let j(d) = 9*i(d) - 2*l(d). Let g be j(3). Solve 3*v = g - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123220110 (base 4) to base 6.\nAnswer: -2231540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62860 divided by 20.\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1085*t - 78 = 1183*t - 372 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-14))**46 assuming a is positive.\nAnswer: a**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 + 54181*i**4 - 3*i**3 - 52*i**2 - 16*i - 809 wrt i?\nAnswer: -60*i**2 + 1300344*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by (22\/77)\/(-3 - 1160\/(-385)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -9. Suppose -11 - 21 = -8*r. Suppose -r*w = -8*w + f. Solve 0 = 4*q - w*j - 33, 0 = -3*q + 2*j + j + 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -285435168160 and -0.06.\nAnswer: -285435168160.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 2*y - y + 7*y - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130589986 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 14 + 4*z - z + 6.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 5) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -5*n. Suppose n*y = 4*y - 238. Let k = -58 - -92. Calculate the greatest common divisor of k and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/13 + 6\/78 - -8. Solve 3*j = -4*v - 19, -3*j - 10 = y*v - 2*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56407816 to the power of 1\/2, to the nearest integer?\nAnswer: 7511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.02 - -10. Let i = 0.32 + d. Let f = -0.1 + 0.1. Which is the nearest to -2\/3? (a) i (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 29007792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*v**3 - 3\/5*v**2 + 0*v + 0 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*n - 10505, -15*r = -14*r - 5*n - 2083. Suppose -r = -8*f + 1126. Does 61 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2984, -13, -4\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 2 a when four letters picked without replacement from {a: 2, b: 1, d: 1, c: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*f = 270*f. Suppose 3*s = i, 4*s = -s + 3*i. Suppose 4*a = s, -4*a = -4*h - 0*a + 8. Solve 0 = -2*q, v - q + h = -f*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 58054 = -5*q + 184214, -4*q = 5*h - 315417. What is the ten thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 + 13602*h - 621460 = 0. What is h?\nAnswer: 46, 6755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*v - 53*v - 1037160 = 0. What are the prime factors of v?\nAnswer: 2, 5, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 1264, 2793, 4934, 7687?\nAnswer: 11052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*z - 29, -3*m + 4 + 12 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*i = 34, 3*k - 14 = 4*k + 5*i. Suppose b + 2 - 3 = 0. Calculate the highest common divisor of k and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 15*p**2 + 17*p + 11. What is j(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j + 10. Let n be m(5). Suppose -3*s - 2*g + 30 = 0, -3*s + 5*g + 1 = -n. Solve -3*v = s + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/5994 and 49\/27?\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 39 = 5*o. Let v = -12 + o. Let b be 0\/(-8) - (v - 3). Sort b, 2\/17, 0.3 in descending order.\nAnswer: b, 0.3, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 40*o - 5.\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 - 11*x - 3. Determine g(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 5. Let s = -24 - -25. Let l be s*(-4 + (-1 - 0)). Let g(y) = 4. Determine l*g(i) - 4*m(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 7 = 5*x, -3*w + 15034 - 15005 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/45 + 26\/18. Let d = 89 + -90. Let v = -11 + 7. What is the closest to d in v, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5987 + -5984. Suppose -2*n + 48 = 4. Suppose 4*b - 2*z = -b + 5, 0 = -4*b - 2*z + n. Solve 4*v = -x + o, b*v = -2*x - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 - 2*i**4*k + 156*i**2 + 4*i*k - i + 164*k wrt i?\nAnswer: -40*i**3 - 24*i**2*k + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49185141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84717975 and 22200?\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5, 3, -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29222 is divided by 85.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23660*q**2 + 138345*q wrt q.\nAnswer: -47320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + -53866?\nAnswer: -53885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/8)\/(3\/(-12)) is divided by 1\/((-12 + 19)*2\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/319 and -15\/145178.\nAnswer: 4210162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (2 + (sqrt(110) - 6*sqrt(110)*-2 - sqrt(110))\/(-5*sqrt(10)*-1))**2.\nAnswer: 48*sqrt(11)\/5 + 1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44171 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 24306 in increasing order.\nAnswer: -5, 0, 24306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11153, -11169, -11185, -11201, -11217?\n\"Answer: -16*r - 11137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33111, -65251, -97391, -129531, -161671?\n\"Answer: -32140*p - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 + -136. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59157)\/(-1890) + 27\/(-90).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.791711 to two decimal places.\nAnswer: 104.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*b**2*j + 470*b*j + 4303*j wrt b?\nAnswer: -46*b*j + 470*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -2*b - 5*d - 77, 0 = 4*b - 3*d - 9 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 7*q**2 - 9*q + 10. Let s be h(8). Suppose u = s + 2. Suppose -41 = -3*p + u. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3536283793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1355525309 to the nearest integer?\nAnswer: 36817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3\/12*-2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*k = -21 + 9, 5*k + 9 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -1\/180*u**6 + 0*u + 21 - 6*u**3 + 1\/6*u**4 - 1\/60*u**5 + 0*u**2. Let p(y) be the third derivative of i(y). Factor p(f).\nAnswer: -2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -3.9. Which is the third smallest value? (a) o (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3761*s + 14536. Give c(4).\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, a: 3, b: 2, p: 2, t: 3}. Give prob of sequence btti.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtpvx. Give prob of sequence vx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = 5*q, -2*q = 5*t + 2*q - 16. Suppose z + 2*z = t. Suppose -3*g + 2*g + 21 = z. Solve 6 - g = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-630) + 19\/30.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -68491 from 0.042.\nAnswer: 68491.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 * -0.4\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5, -13, -0.2, 5\/8, 76 in ascending order.\nAnswer: -13, -0.2, 5\/8, 2\/3, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -32. Solve 5*y = -4*m - d, 2*m + 6 = y - 0*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p + 1. Let t(b) = 5*b. Let n be t(1). Let k be l(n). Suppose k = 4*q - 6. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*l = -2*i + 31, -13 = -3*i - 4*l. Let f(z) = z**3 - 7*z**2 + 6. Let p be f(i). Suppose p*k = 10*k - 12. Solve k*c = 16 - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 74*t + 2200. What is o(-29)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 10*j + 11. Let t = -27 - -35. Calculate the lowest common multiple of p(-9) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p - 56*p**2 + 16*p + 9*p + 4*p.\nAnswer: -56*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - p - 24, -2*g + 2*p = -0*g - 24. Are g and 78\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 6*d + 4*d + 2*d + 0*d - 3*d + (4 - 1 - 5)*(2*d + 3*d - 4*d) + d - 6*d - d)*(-4 - 3 + 6) - 20 + 20 + 5*d in the form p + j*d and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**2 + 25*v + 27. Let b(l) = -5*l - 2. Give 5*b(g) + t(g).\nAnswer: -7*g**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1662807 and 1662809 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43235, -43421, -43591, -43739, -43859, -43945, -43991, -43991?\nAnswer: -43939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 2 = 24*v. Let z(p) = -p**3 + p. Let d(h) = 18*h**3 - 21*h**2 - 2*h. Let m(y) = v*z(y) + d(y). What is the third derivative of m(w) wrt w?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 + 13030204?\nAnswer: 13030424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1711\/2*228\/(-3306).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:12 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412393 - 16393. What is v rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 34.68. Let r = -0.32 + u. Let z = r + 15.017. Round z to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4 + 14. Suppose -21*k - 21 - 21 = 0. Let g be k\/(-1) + (-1 - o). Sort 9, g, -4.\nAnswer: g, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**5\/10 + t**2 + 3*t + 2. Let j(a) be the first derivative of p(a). What is the first derivative of j(h) wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/(3\/(-48)). Is 4*(4 - 95\/t*-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7777.\nAnswer: 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147a1 (base 13) to base 3.\nAnswer: -1222000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p + 8*p**6 - 405*p**2 + 235*p**5 - 11*p**6 + 1154*p**2 + 2*p wrt p.\nAnswer: -360*p**3 + 14100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.93*-3331\nAnswer: 139668.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -50. Suppose -v + 0*v + 28 = -n*t, -80 = -5*v - 2*t. What is the remainder when 54 + (0 - (-1 + 2)) is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*2 + 95\/((-13680)\/1376)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4. Let g be l(0). Solve -4*w + f + 9 = 0, -w + g*w - 5*f = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575513136 by 36.\nAnswer: 15986476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6802 divided by 19.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(15)\/sqrt(5)))**2 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 22*i**2 - 105*i + 27. Determine g(-12).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**4 + 1998163*r + 2053390?\nAnswer: 4*r**3 + 1998163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2288)\/(-55) - (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and ((-14)\/(-8))\/(40\/1920)?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -126. List the prime factors of (-3576)\/(-32) - (-3 + (-15)\/i).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -3 - (2 + -12) - (9 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(15)*-1 + sqrt(15) - sqrt(15))\/sqrt(3) - (sqrt(20)\/sqrt(4) + -3))**2.\nAnswer: -145 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 5*c - 6. Calculate b(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 37*y**2 - 9*y**2.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**8\/2016 + 13*w**7\/1008 + w**6\/24 - 11*w**5\/12 + 7*w**2 + 7. Let o(n) be the third derivative of v(n). Factor o(g).\nAnswer: 5*(g + 6)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153050 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 1.2109, 0, -1\/5, -0.3, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:01 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6 + 4*n + n - 4*n. Let m be u(-3). Solve m*k + 4 = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84208 <= -84206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/20 + 61\/4. Suppose -4*q + d = q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -6 - 3. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16101*i + 1 + 13768*i - 1.\nAnswer: -2333*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -10\/7, -0.2, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(91))\/sqrt(7) + (-1*sqrt(65))\/sqrt(5)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*n + t - 12, -13 = -2*n - 3*t. Is n*3 - (-6)\/((-30)\/(-125)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4354 + 4357. Solve -y*n + 20 = -5*u, 0 = 31*n - 30*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08062 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -35, -101, -167, -233, -299?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -25*l**2 + 66*l + 10. Let g(q) = -11*q**2 + 33*q + 4. Calculate 5*g(b) - 2*p(b).\nAnswer: -5*b**2 + 33*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4572.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)*c)\/c*(((c**(1\/2)\/c*c)\/c)\/c)\/c)\/((c\/c**(-6\/13)*c)\/c**(-21)) assuming c is positive.\nAnswer: c**(-7373\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7293*z**2 + 4*z - 100. Let r(l) = 780351*l**2 - 429*l + 10725. What is -429*n(q) - 4*r(q)?\nAnswer: 7293*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11056366 is divided by 2764091.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:34 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767.8 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Let j(c) be the first derivative of c**a + 0*c**3 + 1 - 2 - 3*c**2. Let j(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213972 divided by 53493.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*b = 14, 5*w = 4*w - 3*b - 5. Let o = 429 + -429.2. Sort o, 1, 3, w in increasing order.\nAnswer: w, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**8\/21 + 2*c**4\/3 + 17*c**2. What is the second derivative of l(a) wrt a?\nAnswer: 320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(252) + sqrt(252) + sqrt(252) + sqrt(77)\/((sqrt(44) - sqrt(11)) + sqrt(11)).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 619 - 147 = 0. Let i = -65 + c. List the prime factors of 219*-1*(5 + i).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4 + 5 + 0 + (-5 + sqrt(648) + -1 - sqrt(648)))**2 + 3).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -4 (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 2. List the prime factors of i(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24d - -144?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382472282351 less than 6?\nAnswer: -1382472282345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 48518 - 14168 = 0. What is the greatest common divisor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Does 8 divide l*(-1)\/4*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 230333, 0 in decreasing order.\nAnswer: 230333, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -11?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8 + 4, -5*w = -4*c - 3601. Let b = w + -306. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k + 196. Let a be (-177)\/9 - -7 - (-16)\/(-12). Let j be m(a). Solve 1 = 3*h + 3*y - j, -3*h - 9 = -5*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + ((-2)\/(-1))\/(16\/88) + -77 + 72\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sapml. Give prob of sequence aslp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26\/5 of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 11 = 5*t. Calculate the remainder when 23 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + -1. Let p = t - 3.2. Which is the third biggest value? (a) 3\/2 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 11*h - 45. What is v(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-5)\/a)*a**(-4)*a**(-2\/3)\/a*a**(3\/7)*a assuming a is positive.\nAnswer: a**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 2, w: 1, g: 2, n: 2, e: 9}. Give prob of sequence eo.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -1846, -5580, -12856, -24856, -42762, -67756, -101020?\nAnswer: -143736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 4) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1769774229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 9:18 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2. Let b(v) = -1. Let o(h) = h**2 - 8. Let t(z) = 24*b(z) - 3*o(z). Calculate c(t(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.3, 3, -8, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 8*d - d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1433425 or 1?\nAnswer: -1433425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1274 + -579. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u - 1. Let j be l(-1). Let i be (4 + -1)\/(-3)*j. Let f(w) = -2*w - 4. What is the units digit of f(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128322 and 2737536?\nAnswer: 8212608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31584.5 weeks in minutes?\nAnswer: 318371760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123 take away -91484.27?\nAnswer: 91484.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.9*628\nAnswer: 4961.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m - 1035. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f**(9\/4)\/f*(f\/f**(-1\/3)*f*f)**(14\/5) assuming f is positive.\nAnswer: f**(175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/9 - 525385*a\/9 - 49395026\/9 = 0.\nAnswer: -94, 525479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57175 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -866*f - 228 wrt f.\nAnswer: -866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3*(-4)\/6). Suppose -5*o + 3*j - j + 16 = 0, 0 = 4*o - 3*j - 10. Solve d + d + o = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 122, 436, 960, 1712, 2710?\n\"Answer: 3*m**3 + 87*m**2 + 32*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 3, -2\/735, 0.5, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - y**2 + 5*y - 2*y - 2 + y. Let s be a(2). Suppose 3*t - t = s. What is the nearest to 1 in 4\/9, -2, t?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3)*4*5*(-3)\/(-60)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:00 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 993425434 * 4.\nAnswer: 3973701736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/30)\/((-3)\/(-6)). What is the closest to 29 in -5, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-58)\/255)\/(-29))\/(12\/408)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8771 - -34885\/4. Are -2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560100 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from ymyymyyfyy?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16457862 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b - 20 = -27*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -407, -409, -411?\n\"Answer: -2*a - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + x = -1 - 2, 0 = 3*x + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 132*s**3 + 397*s**3 - 5*s.\nAnswer: 265*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1811*f + 1738*f + 365 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/5 - 13059*j**4\/5 - 8541199*j**3 - 93353197*j**2 + 4640873496*j\/5 + 5064946544\/5 = 0. Calculate j.\nAnswer: -6524, -17, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - (6 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383 + -269. Suppose w - 76 = 3*c - 7, -2*c = 2*w - d. Let k = -38 + w. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtmdqdtqitidddim. What is prob of sequence tim?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*f - 24, -9*i + 9 = -4*i - 4*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*a - 7*a - 2*a)*(8 + 4 + 5)*(-4 - 3 + 2) to the form d*a + c and give d.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 7732557.\nAnswer: 7732557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (876\/(-42) + 21)*2\/10. Let x = -0.08 - -0.28. What is the closest to i in 0, 0.5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1298, -2685, -4072, -5459, -6846?\n\"Answer: -1387*m + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4 + 2. Let y be 39 + (b - (-1)\/1). Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 3*(sqrt(833) + 0)*2*5 + -3 + -3.\nAnswer: 1 + 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 + -1111010101?\nAnswer: -10000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -4301*y**7\/105 + y**5\/60 + 7*y**4\/4 + 19*y**3\/6 - 9*y**2 - 92*y. What is the third derivative of z(v) wrt v?\nAnswer: -206448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12668.12 + 12944. Let d = g - 271. Let f = d + 0.12. Which is the second biggest value? (a) f (b) 2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6*m**2 - 6*m**3 - 7 + 4 + 4*m**2 + 2 to the form h*m**2 + z*m + g + f*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from rpprrrpfpfrprrrr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (117\/195)\/((-2)\/(-80)). Suppose -37*f + h*f + 1326 = 0. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - (32 - -32)) + 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4775263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16448496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -11705583?\nAnswer: -1170558.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -7\/12*r**4 + 0 + 1\/20*r**5 - 5\/2*r**2 - 2*r + 1\/6*r**3. Let i be m(7). What is the biggest value in -3, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -3)*(-7 + 7). Suppose -3*n + 16 + 2 = l. Solve 20 + n = -5*s - 2*f, 1 = 2*s - 3*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 16) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1274)\/(-169) - (0 + 6) and 49\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 13*x**2\/2 + 87*x - 5346. Calculate b(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14843*n**2*t + n*t - 4*t + 91 wrt n?\nAnswer: 29686*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 - 34759*i**3 - 3*i**2 + 455490*i.\nAnswer: 12*i**2 - 208554*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(20)*-3 + sqrt(20) - sqrt(20)))\/(sqrt(10) - sqrt(10)*1*6).\nAnswer: 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/420 - v**4\/24 - v**3\/2 + 2*v**2. Let f(b) be the first derivative of c(b). Differentiate f(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1410593300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126839 is divided by 708934?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82424\/((-176)\/(-22)) - (2 + 0 + 1).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)*n**(-3\/2))\/((n**(4\/7)*n*n)\/(n*n**(4\/15))) assuming n is positive.\nAnswer: n**(-1493\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12*1290\/(-2064) - -113*(-1)\/66?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 306 * 0.5.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/289442 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-30 + 60 - (1 - -8))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {b: 3, v: 13, a: 3}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9976?\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, q: 1, r: 1, l: 1}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 13. Calculate the least common multiple of 14 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.265946096 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q + 0)*(-q + q - q) + (22 - 9*q**2 - 22)*(11 - 13 - 52).\nAnswer: 487*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13748054.91 to the nearest 10000.\nAnswer: 13750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -4 + sqrt(128) + 3*sqrt(128) + sqrt(128) - (1*sqrt(128)*-3)**2.\nAnswer: -1156 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*x - 8 + 19, 2*x + 121 = 5*s. Let q = s + -4. Suppose 63 = u - 2*o, 3*u = -u - 5*o + 213. What is the greatest common factor of u and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 0*f**4 + 0*f**4)*(3 + 2 - 3) + 2*f**4 - 4*f**3 + 4*f**3 - 7223*f**2 - 4*f**4 + 7124*f**2 + 3*f**4.\nAnswer: 3*f**4 - 99*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1 - (2 + 3). Is s bigger than 5\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 7*a - 12. What is the tens digit of i(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -220*a**2 - 4*a + 215*a**2 + 0*a**3 - a**3 - 2*a. What is the tens digit of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541079521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/3 + 106\/15. Let c = 38 + -38.2. What is the third biggest value in d, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 27 = -3. Let o = q - -12. Let i(x) = 4*x**2 - 8*x + 1. Is i(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*-2 + sqrt(40)\/(sqrt(32)\/sqrt(4)) - sqrt(10)\/(sqrt(2) - (sqrt(8)\/sqrt(4) + sqrt(2))*3).\nAnswer: 26*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24234 + 436099\/18. What is the common denominator of s and -13\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let w = -257\/7 - -37. Factor 2\/7 - w*n**2 - 2\/7*n**f + 2\/7*n.\nAnswer: -2*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -114297.\nAnswer: -114296.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2120\/1325*2\/(-8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2534950 and 29425?\nAnswer: 271239650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 1. Let f be x(-2). Let m(n) = -7*n + 3 - 2 - 6 - 4. Let d be m(-6). What is the greatest common factor of d and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - (-13519162)\/1085) + (-4)\/70 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25604 by 173.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4 in descending order.\nAnswer: 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = -h, -c - 57 = -3*h - 1. What is the remainder when 58 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166076 < 166003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**6\/24 - 13*v**5\/3 + 535*v**4\/24 - 45*v**3 - 175*v**2 + 2. Factor n(b).\nAnswer: -5*(b - 1)**2*(b + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 10. Suppose -c + i*c - 24 = 0. Let v be (2 - 1)\/(((-2)\/(-3))\/2). Solve -22 = -2*n - 5*a, -2*n + v*a + c = 4*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 38. Suppose -7*a + 11 = -l. Suppose a*u - 630 = -u. Calculate the greatest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -11 + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-41810.\nAnswer: 4181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.98951ug to tonnes.\nAnswer: 0.00000000008398951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)**10*((c**(4\/7)*c)\/c)\/(c**(-4\/7)\/c) assuming c is positive.\nAnswer: c**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u + 3*v = 0, -3*u = 3*v. Suppose u*x = 5*x. Let h = x + 24. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 20. Let o be m(-8). Let t(f) = -f**3 + 7*f**2 + f - 6. Let q be t(7). Which is the fourth smallest value? (a) q (b) 3 (c) 3\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 + 50*z**2 + 96*z = 0. Calculate z.\nAnswer: -48, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.091452, 2 in decreasing order.\nAnswer: 2, 0.091452, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1170*g - 556. Let r(d) = 1170*d + 559. Let l(f) = 4*r(f) + 5*w(f). Find the first derivative of l(q) wrt q.\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -194*y + 23. Is o(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 4309?\nAnswer: 34472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 1. Let c(t) = t + 7*t - 2 - 20*t + 9*t. Give 6*c(d) - 14*x(d).\nAnswer: 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4401)\/810 - -2*(-3)\/4.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5157748 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -16, 11.\nAnswer: -16, 11, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 6972912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498868 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:59 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-8)*2*(-1292)\/38.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let y(v) = -v**2 + 1 + 26*v - 51*v + 3 + 30*v. Calculate y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(-9))\/x*x*x\/(x*x**(-2))*((x*x**(-1\/3))\/x*x*x)\/x**(2\/11))**(2\/29) assuming x is positive.\nAnswer: x**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -1, 0.3, 0.105, -1\/3, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17783, -71195, -160233, -284897, -445187, -641103?\nAnswer: -872645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.39 less than 10.579?\nAnswer: 41.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -116.2 and -0.1.\nAnswer: 11.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/100020 and 68\/25005?\nAnswer: 100020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*c = -s - 12, -20 = -4*c. Find the third derivative of 13*z**s - 34*z**5 + 19*z**5 + 24*z**5 wrt z.\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39914549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38784 and 96960?\nAnswer: 193920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/840 + 25*r**3\/6 + 18*r**2. Let w(h) be the first derivative of c(h). Solve w(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/26 and -5\/1558.\nAnswer: 20254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.767789 microseconds in seconds?\nAnswer: 0.000001767789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 217*f**5\/10 - 7*f**4\/4 + f**2 + 217*f. Find the third derivative of m(k) wrt k.\nAnswer: 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 + -85. Let w(b) = b**2 + 7*b - 6. Calculate the remainder when a is divided by w(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6606.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068473 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: Collect the terms in -14*q + 14*q + 539*q**2 + 524*q**2 + 450*q**2 - 1383*q**2.\nAnswer: 130*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85760*a - 381 = 6*k - 85753*a, 5*a = -285 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4) - -5*(-1)\/(-4). Suppose -y + t + 0*t + 152 = 0, p*t = 4*y - 612. Let j be 4\/(-5)*(-70)\/4. Calculate the greatest common factor of j and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5778*o**2 - 5795*o**2 - 5787*o**2 + 17364*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)\/u**(-2)*u**4*((u\/u**0)\/u)\/u*u*(u**(-2\/7)\/u*u*u**(-7\/3))**(1\/11) assuming u is positive.\nAnswer: u**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d*g**4 - 2*d*g**2 + 230*g**4 + 11031*g**2 wrt g.\nAnswer: 240*d*g + 5520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:00 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 28*w**2 + 819*w - 662. What is n(-30)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65862.9 millennia to years.\nAnswer: 65862900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 188*y**2 - 1596*y - 5269. What is h(-196)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Let c(u) be the third derivative of 1\/42*u**4 + 0 + 0*u**3 - 1\/420*u**6 + 1\/210*u**g - u**2 + 0*u. Let c(m) = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44730 and 26605530.\nAnswer: 1888992630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2. Let j(b) = -3*b**2 - 2*b - 2. Let n(r) = -4*r**2 - 3*r - 3. Let f(g) = -3*j(g) + 2*n(g). Determine m(f(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 9*j - 11. Let g(p) = p**2 + 8*p - 9. Let u(s) = -4*g(s) + 3*o(s). Suppose -k - 2 = 2. Let t = k - 1. What is u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4397*w + 26415. What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4*n + 6. Let r(j) = -3*j**2 + 13*j - 19. Let p(a) = -7*c(a) - 2*r(a). Let h = 4 - 1. Give p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(567))*2)**2 + 1*(sqrt(567) - (sqrt(567) + 2 + sqrt(567))).\nAnswer: -153*sqrt(7) + 2282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 3*h = 0. Solve h*n + 20 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310482553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 + 4*r - 7. Let a be j(4). Let g = -131 - a. Solve 2*i = 0, -3*w - 2*i = -5 - g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -4, 2 in descending order.\nAnswer: 5, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3740 + -3650. Solve 31*p - 28 = -k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-10) - 3 - (-31)\/2. Solve 0*j = 4*z + 4*j - 36, z + 3*j = s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -48 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1249, 1216, 1183, 1150?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose 2*p - 63*n - 41 = -58*n, 2*n + 38 = 2*p. Calculate the lowest common multiple of p and 184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -5\/4 (c) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*v = 5*x + 10, 3*v + x = -12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2897 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-221)\/(-26) - 3\/(-2)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 48 = 7*c - 57 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27852 - 4852 = c. What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -5. Let l(t) = -3 + 0*t - m*t - 5*t**2 + 2*t + 6*t**2. What is l(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230165805?\nAnswer: 3, 5, 17, 902611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 + 2*d - 1. Let z be a(2). Suppose -c + 17 = z. What is the lowest common multiple of 2\/(-3) + 26\/3 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 - n**3 - 11*n**2 + n**2.\nAnswer: 9*n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*c**3*u*w**2 + c**3*u + 3*c**3*w**2 + c**2*u*w**2 - 949*u wrt c?\nAnswer: 792*u*w**2 + 6*u + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q**(-1\/7)*(q\/((q\/q**2)\/q)*q)**(2\/53))\/(((q\/q**(2\/5))\/q**(1\/16))\/(q**6*q*q*q**(2\/3))) assuming q is positive.\nAnswer: q**(635501\/89040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39497 or -39567?\nAnswer: -39497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 38. What is the biggest value in 5, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/120 - g**5\/16 + g**4\/6 - g**3\/6 + 5*g + 12. Let s(m) be the first derivative of l(m). Let s(d) = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01401 * 1.\nAnswer: 0.01401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 3)\/(-1) + 0. Let p = -359 + 326. Let i = o - p. Is i a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rze when three letters picked without replacement from {r: 1, s: 2, z: 1, j: 1, x: 2, e: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18 - -18) + 4*1. Suppose -4*p - 161 = -3*i, -a*i + 3*i + 55 = -p. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 19, 61667 in descending order.\nAnswer: 61667, 19, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10484.\nAnswer: 2, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -877*c**2 - 879*c**2 + 2639*c**2 - 881*c**2. Let l(a) = -1386*a - 1. Calculate b(l(x)).\nAnswer: 3841992*x**2 + 5544*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/4 - 2*n**3\/3 - n**2 + 4*n - 19. What is g(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*(-2)\/(-3)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14 - 13*k - k + k**2 + 40. Suppose 8 = -2*d + 32. Let j be l(d). Solve j*o + 4*z + 15 = 7*o, 2*o = 5*z + 23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 38*p - 2. Let q(b) = 13*b - 1. Let u(f) = 11*q(f) - 4*w(f). Suppose -m = -3*i + 14, -8*m + 12*m - 2*i = -36. Is u(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 13) to base 16\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 26 = 3*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v. Let b be y(2). Let l = -10 - b. Suppose -l*d + 79 = -5*d. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1*(-4)\/(-40)*-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddddddddpdddpd. Give prob of sequence pdd.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/(-26) - 1)\/2. Let k = 0.2137 + -0.0137. Which is the second smallest value? (a) p (b) k (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + w = 27, 0*c = -3*c - 5*w - 89. Does 7 divide (c\/(-6))\/(8\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6615000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3301441 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 15*r = 5*y - 40, r + 4*y = 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -798 + 286. Suppose 0 = 5*p, 4*s + 3*p - c = p. Suppose -5*v + s = -v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120114.\nAnswer: 2, 3, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24067252309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0412 - -0.0412. Put c, 0.1, -1\/4 in descending order.\nAnswer: 0.1, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/21852 and -2\/6677.\nAnswer: 240372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5\/7 + 120*k**4\/7 + 13236*k**3\/7 + 24008*k**2\/7 - 2898192*k\/7 - 415584 = 0. Calculate k.\nAnswer: -39, -18, -1, 14, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4465475 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmfmmmmmmmmjmm.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2834, -7421, -15072, -25793, -39590, -56469, -76436?\n\"Answer: -y**3 - 1526*y**2 - 2*y - 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20549, 41465, 62373, 83267, 104141, 124989, 145805, 166583?\n\"Answer: -u**3 + 2*u**2 + 20917*u - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.234 (b) -0.2 (c) 0.5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -740 divided by -740.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114767934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 * 4\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*g - 1368 - 1063 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473057?\nAnswer: 13, 36389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from xoxklkkikxookkkilki?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 2*r**2 + r + 4. Calculate t(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102 (base 3) in base 9?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -64*d**3\/3 - 24*d**2 - 94*d. Differentiate t(b) with respect to b.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**2*z**2 - 907*j**2*z + 3110*j + 69907*z**2 - 51*z wrt j?\nAnswer: -10*j*z**2 - 1814*j*z + 3110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 4825, 16557, 39397, 77047, 133209, 211585, 315877?\nAnswer: 449787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and -3*1 - (-25 + 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 (base 8) in base 11?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 418202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13069.\nAnswer: 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16773 + -0.58057. Round i to 2 decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -15*t. Suppose 4*l = 2*o - 5*o + 169, -2*o - 3*l + 113 = t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68\/5 + -247\/20. Sort b, 4\/5, -5, 0.045 in descending order.\nAnswer: b, 4\/5, 0.045, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1627 = 86*a - 26*a + 367 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 83 = -c - 43. Let r(i) = 4*i**3 + 2*i**2 - 2*i + 1. Let m be r(1). Suppose -m*y + 4*z + 17 = -0*z, -5*z = 15. Is y less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/30)\/4*27\/(-36).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 6*z**2 - 5*z + 4*z**2.\nAnswer: 9*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-1\/4)*z)))**(-19)\/((z\/(z*z**1))\/z*z)**8*(z**(-6)\/((z\/(z*(z*z\/z**4)\/z))\/z*z*z*z))**35 assuming z is positive.\nAnswer: z**(-1565\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*b - 31605 = 115*b - h, -b + 7895 = -h. What are the prime factors of b?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - q - 1. Let u(a) = -a**3 + 40*a**2 - 65*a + 10. Let g(x) = 12*l(x) - 3*u(x). Factor g(c).\nAnswer: -3*(c - 1)*(c + 7)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p**4\/5 - 15450*p**3 + 92938482*p**2\/5 + 147111120*p + 1368133416\/5 = 0 for p.\nAnswer: -39\/8, -3, 2418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 + 119. Suppose -p = -5*i + 37. Let d = i - 5. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/((-169)\/(-13))*2\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 28*l - 704. Give k(12).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239374553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3. Let m be j(0). Is (1\/m)\/(2\/(-654)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/2, 59, -17?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*r + 5*x, 9*x = -r + 5*x + 7. Let t = -2 + 7. What is the least common multiple of t and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034902 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175457646 divided by 2.\nAnswer: 87728823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4630194 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 18 = 18. Let v(x) be the third derivative of x**2 + 0 + 1\/60*x**6 + i*x**4 + 1\/2*x**3 + 0*x + 0*x**5. Differentiate v(c) with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -13. Suppose 0 = 5*s + 2*c - 20, -c + 0 = 2*s - 7. Suppose -s*q = -q - 15. Calculate the highest common divisor of q and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59378074 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -35*u + 1222. Calculate the remainder when u is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220815 is divided by 27502?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1473*g + 126 - 126 in the form h + v*g and give v.\nAnswer: -1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - f = 5, -2*g + 4 + 5 = 3*f. Let a = 7 + -4. Solve 0 = -a*h - g - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 22 + 18 - 15*p**2 + 16.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 138887267 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 35.2?\nAnswer: 30.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7625209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*h**2 - 25*h**2 - 386 + 202*h**2)*(-h**2 + 2 - 2).\nAnswer: -4*h**4 + 386*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*1\/(-1)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 + sqrt(288))\/sqrt(9) + (1 + sqrt(242) - sqrt(2))*1.\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3287?\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 7:02 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*q + 5 - 5.\nAnswer: -118*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*q - 289*q - 51 = 0. Which is the biggest value? (a) 5 (b) 3\/5 (c) 0 (d) q (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-4))\/((-2)\/(-4)). Which is the closest to 2\/5? (a) p (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*j + 62 = 0, 91 = 3*k - 9*j + 4*j. What is the least common multiple of 4 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-12)\/28) + (236\/(-28) - 1 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14955817153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -69. Find the second derivative of -8*z**2 + z**2 - r*z**2 + 10*z wrt z.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5918*g - 3808*g - 2110*g - 91*g**3.\nAnswer: -91*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13189181, 13189235, 13189287, 13189337, 13189385?\nAnswer: 13189431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 43 in increasing order.\nAnswer: -2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*k**2 - 2 - 2 + (3 + 0 + 0)*(-11*k**2 - 9*k**2 - 7*k**2) + k**2 + k**2 - 3*k**2.\nAnswer: -80*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3124*f - 4488*f + 1360*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 17 - (-19 + -19 + 43).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5502991960 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 12*j**2 + 20*j + 27. Does 46 divide s(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kki when three letters picked without replacement from {i: 6, k: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -957*z + 6718. What is h(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -369, -351, -315, -255, -165, -39, 129?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (387\/55)\/(-9) + (-14)\/(-77).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246951152?\nAnswer: 2, 7, 103, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 18, -6\/7, -6, -2\/129 in descending order.\nAnswer: 18, -2\/129, -0.2, -6\/7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let o(w) = -323*w**2. What is r(o(s))?\nAnswer: 104329*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 33*p - 42*p. Solve 0*m - 2*m + p = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -94394*f + 188790. What is c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 w, and 1 c when three letters picked without replacement from {w: 1, c: 2, k: 1, r: 1, i: 2, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/72 in -0.07, -0.8, -37, -1\/2, -10?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-30) + -3 + 160\/(-225)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 110?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 32.\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjsj when four letters picked without replacement from jjjjjsjsjjjsjjjjsjjj?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -49. What is the second biggest value in -2\/3, 3, -2\/13, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2\/3, 13190.6, 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccw when four letters picked without replacement from {c: 15, w: 4}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933617 to the power of 1\/2, to the nearest integer?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from nnnaaannaprnnnrdapp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 693569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*o**3*r**2 + 3*o**3*r - 2*o**3 - 7*o*r - 569*r**2 wrt o.\nAnswer: -180*o*r**2 + 18*o*r - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3011 + -3004. Let k(g) = g**3 - 8*g**2 + 7*g + 5. Determine k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y - 9*y + 32*y + 37*y as t*y + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3106133 (base 8) in base 12?\nAnswer: -337aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 2 + 0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 5*i**2 - 6*i - 4. Let n be h(-6). Let k be 3 - (-3 + (-130)\/(-25)). Which is the nearest to -1? (a) 5 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 8*o - 108 = 0. Let i(m) = 2*m**2 + 9*m + 29. Suppose -12 = -w - 0*w. Calculate the remainder when i(o) is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(1\/24)\/(b\/b**(2\/15)*b*b**(-4\/7)\/b*b) assuming b is positive.\nAnswer: b**(-307\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 0.95. Let i = 5.15 + r. Let l = -5 - 0. Put i, l, 0 in ascending order.\nAnswer: l, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = -0*c. Find the common denominator of -17\/4 and 2*(237\/84)\/c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*y + 113690 = 229*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33404 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, m: 1, w: 1, z: 1, o: 1}. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - y + 29, -3*p + 5*y - 14684 = -14623 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4585572 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 0*w**3 + 5 + w**3 - w**3 to l*w + u*w**3 + a*w**2 + i and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**3 - h**3 - 6*h**3)*(4 - 3 + 0)*(189*h - 189*h - 15*h**2).\nAnswer: -75*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = r. Let a(b) = 2*b**3 - 4*b**2 - 3*b. Let d(c) = -c**3 + c**2 + c. Let n(f) = a(f) + 5*d(f). Let z be n(r). Solve -3*y + z = 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*c**4 + 18*c**4 - 15*c**4 + (5*c - 2*c - c)*(55 - 14 - 31 - 9 + 791*c**3).\nAnswer: 1563*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2467 or 41914\/17?\nAnswer: 41914\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9670, 9891, 10472, 11593, 13434, 16175, 19996, 25077?\nAnswer: 31598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 + 22*i**2 + 4*i - 81. Determine g(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = r + 220. What is the greatest common divisor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/62 in 0.3, -3\/5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*x - 4*n + 322, -3*x + n = 178. Let q = -7 - x. What is the remainder when q is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + k + k - 1. Suppose -17 + 23 = -2*b. Let m(x) = -3*x + 1. Determine b*m(q) - 2*p(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201210021011 + -201?\nAnswer: -1201210021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2\/23, -2, -1, 0.1, -0.173?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*u + 1273*u + 57 = 3*n, 2*n = -3*u + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/23)*f)**35 assuming f is positive.\nAnswer: f**(875\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 - -4bd?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 30*d**3 + d**2 + d - 1. Let j = 27 - 26. What is the tens digit of q(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 31510 = -6070. Is 54 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 281*j**3 - 111123511*j**2 + 111123511*j**2 - j.\nAnswer: 281*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9987905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) -3 (c) 2927\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6838893 - 87*g**2 - 6838893 + 88*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98, -112, -126, -140?\n\"Answer: -14*f - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231580.4 minus -74808?\nAnswer: 306388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162669 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234839252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-12))\/(2*(-5)\/(-60)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, 27, 3\/2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -2 (c) -4 (d) 0.081 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 247, 579, 1163, 2083, 3423, 5267?\n\"Answer: 14*t**3 + 66*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 4185 and 4185 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 2174496.\nAnswer: 2174496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1911 and 3234.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12223 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141151 = -10*s + 9859. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -687, -1448, -2185, -2886, -3539, -4132, -4653, -5090?\nAnswer: -5431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567*f**2 + 3331*f**2 + 488*f**2.\nAnswer: 2252*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 29*d = 12. What is the highest common divisor of 228 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 2\/3*w**3 + 3 + 0*w**2 - 1\/2*w**4 + 0*w - 2\/5*w**5 + 1\/3*w**6. Suppose s(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -7*r**4\/8 - r**3 - 585*r**2. Let i(u) = -20*u - 5. Give -6*i(a) + 5*v(a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 1:14 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587934?\nAnswer: 2, 3, 89, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 22*a**2 - 56*a + 42. Let z be i(-19). Solve -4*x + z*x - 38 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32 and (3 + (-75)\/6)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:11 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 3*d - 92. Let n be o(-8). Sort 18, n, -5, 0.2 in descending order.\nAnswer: 18, 0.2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - 10. Suppose 17*u + s = 19*u. What is the highest common factor of 215 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10 + 489*z - 3*z - 21. Is w(39) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Suppose 5*n - 10 = -z*m, 3*m - 3 - 3 = n. Put 1, 4, n in increasing order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.32 + 0.02. Let d be 6\/(-21) - (-72)\/154. Let v = 3.3 + -3. Sort v, d, p.\nAnswer: p, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 16 = -24. Let a = -3 + 4. Let m(f) = 14*f**2. What is the lowest common multiple of m(a) and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-14) - 1172\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v**3 + 212*v**2 + 16*v - 25. What is j(-13)?\nAnswer: -1754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -15*t**5 - 26810*t**4 - 12234360*t**3 - 226268640*t**2 + 156291200*t = 0.\nAnswer: -884, -20, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8995, 17980, 26953, 35908, 44839, 53740, 62605?\n\"Answer: -i**3 + 8992*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = 5*y, 5 = -y - 2*t - 7. Let s(l) = 1976*l - 1. Let a be s(y). Let g = -5347 + a. Round g to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by 2447\nAnswer: 588\/2447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + q**3 - 6 + 5*q**3 wrt q?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 0*n**3 + n**3 + (-95 + 95 - 2*n**2)*(-3 + 3 + n) - 5*n**3 + 3*n**3 + 7*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4 = 0, -2*c + i = 6*i - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2847.03 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 2*k - 11, 2*o = -o + 4*k + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:52 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20020202201 - 211210?\nAnswer: -20021121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(13) + 0)**2 + -2*(0 + sqrt(13)) + (-4 + sqrt(78)\/sqrt(6) - (sqrt(39) - 1*sqrt(39))\/sqrt(3)).\nAnswer: -sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5.6, 2, 1.95, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 4)*(-1 - -1). Let j = -1.181 + 0.581. What is the closest to g in -3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197876 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -10*s + s. What is the remainder when 400 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v + 3*v + 3*m, -4*m - 18 = -5*v. Suppose -4*j - 8 = 0, 3*j = -6*n + v*n + 198. What is the remainder when 303 is divided by n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 41861376.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -25.6198?\nAnswer: -10.24792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*p - 129*p - 7*l + 3*l + 53 = 0, -48*p + 6*l - 4*l = 72 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.7873 years in decades?\nAnswer: 5.87873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-412)\/927)\/(((-1260)\/(-81))\/(-14))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3289 - 3286. Sort a, 24, -1, 2 in increasing order.\nAnswer: -1, 2, a, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 76.9. Which is the closest to -0.1? (a) -8\/9 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 14*g**6\/3 + g**4\/12 - 1549*g**3\/3 - 3052*g**2. Differentiate h(d) with respect to d.\nAnswer: 1680*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 - 236 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -157*-215\nAnswer: 33755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/110 and -71\/55981660?\nAnswer: 615798260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/(57328\/(-53745)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 1218 = 145*t + 84 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = j - 5*v + 2, v = 4*j + 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:54 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7004 = 80*g - 729*g - 2461 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/15 + 131554*o + 1973316\/5 = 0. Calculate o.\nAnswer: -3, 986658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-10) - (-28)\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16691550?\nAnswer: 2, 3, 5, 223, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 + 300.56. Which is the second smallest value? (a) w (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 less than or equal to -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 20 = -3*j, 11*j = 9*j + m + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -2.352443.\nAnswer: 0.2352443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 11*r**5\/4 + 79*r**4\/4 + 135*r**3\/4 + 77*r**2\/4 + 5*r\/2 = 0.\nAnswer: -5, -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 2*x + 2. Let l(m) = -6*m**2 - 15*m + 13. Determine 5*b(d) - l(d).\nAnswer: d**2 + 5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {l: 1, d: 1, c: 2, b: 2, w: 7, p: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8176 and -103\/10808.\nAnswer: 1577968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -52\/3, -3, -5, 4, -0.5?\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1384 + 1393. Let r = 30 + -21. Is 4242\/r - 3*1\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:58 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/5))\/((j**(-4\/9)\/j)\/j)*j\/j**(-10)*(j\/((j\/j**5)\/j))\/j assuming j is positive.\nAnswer: j**(902\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5215262, -10430521, -15645780, -20861039?\nAnswer: -26076298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2309796367*b + 18*b**3 - 2309796367*b.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (14 - (6 - -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 22 (b) 1\/17 (c) -0.3 (d) -0.1 (e) -2 (f) 7 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in -3\/22, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222.2 + -222. Let b = -0.9 + 1. Let v = 279\/1474 - 1\/134. What is the closest to v in s, b, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + -4 + 5) - 0) + (0 - -40).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4 + 2125*j**3 + j**2 + 222*j + 4 wrt j.\nAnswer: 72*j + 12750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by -7.\nAnswer: -183\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -c?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.055 in -15, -0.4, -2, 0.02, 17?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1082, 2295, 3496, 4679, 5838, 6967, 8060?\n\"Answer: -b**3 + 1220*b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-36))\/((-5)\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:12 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*w + 4, 4*w + 109 = 5*b. Suppose -5*s + 8 = 3*f - 3, 4*s = 3*f + b. Solve 0 = -n + 6*h - h + 1, -s*n = -3*h + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85170 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(((m**4\/m)\/m)\/m))*m\/m**5)\/((m\/(m**(2\/3)*m))\/m**(-2\/9)))**(2\/43) assuming m is positive.\nAnswer: m**(-46\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.9 + -41.9. Which is the smallest value? (a) -2 (b) 36 (c) o (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a - 3. Let w(s) = -s**3 - 5*s - 4. Let u = -1 + 4. Suppose -4*m + 0 - 12 = -2*y, -2*m + 2 = -u*y. Calculate y*j(h) + 3*w(h).\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 16*l - 10. Let x be y(15). Suppose -4*n - 4 = -x*n. What is the units digit of 1 + -3 + (7 - n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14560 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/232 and -29\/2064?\nAnswer: 59856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 518, 534, 566, 620, 702, 818, 974?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = 12. Which is the nearest to 0.1? (a) d (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piipipninsplppj. Give prob of picking 2 n and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*d + 2, -5*c = 4*d - 0 + 4. Suppose 3*b - 53 = -2*y, 56 = 4*b - y - c*y. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 479787.7 litres?\nAnswer: 479787700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4655*y - 4653*y + 56 = -4*i, i - 4 = -5*y for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (97 - 84) + -7 + -2. Solve -5*q + u = -3*u + 3, -g*u + 6 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80646 and -0.3437.\nAnswer: 27718.0302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*h**5 - 7647*h**4 + h**2 + 9*h - 239156 wrt h.\nAnswer: -3520*h**3 - 91764*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 20. What is the third biggest value in j, -0.03, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 11. Let k be m(-11). Suppose k = 3*s - b - b - 75, -s + b = -26. Calculate the remainder when 43 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emeemeemememeeemmee. Give prob of sequence eemm.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (1 + -1 - 0). Let k(j) = -6*j + 29. Let v(o) = -o**2 - 9*o - 15. Let z be v(-4). Let s be k(z). Sort s, r, 2.\nAnswer: s, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1331, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*w = 135*w + 42. Does 10 divide 82 - 28\/w*3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1336 + 4687. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138838599 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -4) + -57 + 29 - (2 + 11)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:44 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1338 + 2354. Is ((-9)\/(-6))\/(12\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**6\/10 - 3*b**5\/20 + 41*b. Find i, given that j(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 117257*g - 351749. Give m(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0628 - -0.0228. Put -5, -1, h in increasing order.\nAnswer: -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(((-1 + sqrt(272))*5)**2 + 2).\nAnswer: -1000*sqrt(17) + 34137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30296 - 51277. Is -20982 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19594247, -19594245, -19594243, -19594241, -19594239, -19594237?\nAnswer: -19594235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 4. Suppose -2*p + 6*p - x = 0. Let l be 3*(-20)\/(-9)*p. Calculate the greatest common factor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190*b - 1173*b + 2345*b = -36 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 1. Let h be t(-5). Let n(o) = -o**2 + 18*o + 50. Let s be n(19). Let m = h + s. What is the third smallest value in m, -2\/3, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170998*n - 170996*n + 428*n**3 + 341994*n.\nAnswer: 428*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 + 219042618.3599.\nAnswer: 219042618.5099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23597.82t in kilograms?\nAnswer: 23597820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -2*x, -3*x + 5*h = 18 - 43. Let t be 1 + x - (-3 + 2). Suppose t*l + 3*l - 25 = 0. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.0709 minutes to milliseconds.\nAnswer: 35464254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4786847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -770)\/(-1) - (-5 - -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = 3*k. Suppose -3*i = -6, -3*i = k*a - 0*a. Let q(r) = -2*r**3 - 4*r**2 - 2*r + 1. What is q(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 62.9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 - 3 + 4*s - 8*s**2 + 9*s**2. Give u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 2, k: 3}. Give prob of sequence iy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 26*n**4 - 4*n**3 + 121*n**2 + 580*n + 443. Let s(k) = 22*k**4 - 4*k**3 + 122*k**2 + 580*k + 444. Let o(y) = -6*r(y) + 7*s(y). Factor o(v).\nAnswer: -2*(v - 9)*(v + 1)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l*n + 2*l*u - 32*n*u + 151 wrt n?\nAnswer: 5*l - 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29760307, -119041221, -267842745, -476164879, -744007623, -1071370977, -1458254941?\nAnswer: -1904659515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(3\/((-18)\/(-24))). Suppose -2*c + 18 = v - 3*v, -w*c = 5*v - 5. Solve -m + 4 = -b - 5, -m = -c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkmmhcckmymckckkmvm. What is prob of picking 1 v and 1 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171950)\/2715 - (-39)\/9.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p - 2. Which is the nearest to -0.08? (a) -0.2 (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-51)*1\/32*-1\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511639706 times 4?\nAnswer: 2046558824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -2\/13, -5\/2, 2\/3, -1\/6, 30, 1\/20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 9, x: 1, n: 10}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20334.933 - 0.07.\nAnswer: 20334.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 8*h - 48 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -19. Let h = 8 + s. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1379*i. Let f(v) = -115*v. Calculate -3*a(u) + 35*f(u).\nAnswer: 112*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1120374 by 603.\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*-15*(-16)\/(-50)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 7, 1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2137*t**3 + 61*t**2 - 77*t - 10. Let r(w) = -1425*w**3 - 43*w**2 + 51*w + 7. Let h(b) = -7*r(b) - 5*u(b). What is the third derivative of h(o) wrt o?\nAnswer: -4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/7 - 2\/7. Let z(f) = -f**3 + 4*f**2 + 2*f - 2. Let b be z(d). Let g be 15\/b - (-2)\/4. Solve g*o + 13 = -q, -2*q = -0*q - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -70*s + 630. Let y be w(9). Let p = 22 - 20. Factor -3\/5*g**p - 6\/5*g + y + 3\/5*g**3.\nAnswer: 3*g*(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 14*k + 4. Let o be t(-14). Let j(p) be the first derivative of 3*p**2\/2 + p + 2. List the prime factors of j(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*n - 22745 = -22742, -2*h + 10 = 4*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 0.20644427564?\nAnswer: -0.19644427564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1061184*v**5 - 38450*v**2?\nAnswer: -63671040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 23*w - 60. Let j be u(-20). Let s = 9.3 + -9. Which is the second biggest value? (a) j (b) s (c) -2\/11 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2112) - (sqrt(2112) + sqrt(2112) + (sqrt(2112)*1 - sqrt(2112))*-4 - sqrt(2112)))\/(-1*sqrt(12)\/(sqrt(8)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Let m be r(1). Let i(t) = 5*t**2 + t + 6. Let y(z) = -11*z**2 - 2*z - 12. Suppose 5*g = 7*g + 26. Let c(a) = g*i(a) - 6*y(a). What is c(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -28*k**5 - 932*k**4 + 14604*k**3 - 7708*k**2 - 31136*k - 7920 = 0?\nAnswer: -45, -1, -2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-9)*(-7)\/(245\/14)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3 (b) 0.14 (c) -2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54944661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 i, and 1 d when four letters picked without replacement from {d: 1, i: 2, h: 1, s: 1, j: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d + 6. Let x(s) be the second derivative of 11*s**3\/6 + 5*s**2\/2 + 4*s + 127. Give -5*p(r) + 6*x(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 + v**2. Let f be q(-1). Let z = f + 6. Suppose s + y = -6, 6*y + 4 = z*y. Sort -1, -2, s.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d2 (base 15) in base 6?\nAnswer: 4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7027046251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p + 150 - 284 + 33 = 589 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 10. Let q be (-65)\/(-5)*(11 + -2). Let a(p) = p + q - 117. Determine a(x(u)).\nAnswer: 4*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 5 + -2)\/((-18)\/(-63)). Suppose 5*k - 4*k - 24 = 0. Find c, given that -5*c - c**2 - 3*c**3 + 3*c + b*c**2 - k + 14*c = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d**5 - 38*d**5 - 9*d**5)*(-9 + 9 - 48).\nAnswer: 3168*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -293 - -498. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 13*r**2 + 80*r + 627. Does 37 divide x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:06 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*l + 47, -60*l = h - 64*l - 57 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 5*u + 3*u to f + m*u and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/5 - 209*i**4 + 643*i. Factor d(m).\nAnswer: 4*m**2*(m - 627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 103 = -145. What is the second derivative of 0 - h*o**3 + 46*o**3 + 52*o**3 + 2 + 13*o wrt o?\nAnswer: 462*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 28*c + 208. Let t be f(-6). Solve -t*v - 65 = -69 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:14 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3790*v = 4142*v + 2816 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 62*z**3 + 6*z**2 + 10*z - 3. What is the tens digit of b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.348496 grams?\nAnswer: 1348496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**2. Give k(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.604 or 2\/33?\nAnswer: 0.604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3542 - 55380?\nAnswer: -51939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**5\/60 - v**4\/2 - 5*v**3\/3 + 78*v**2. Let h be -2 + (-7 - (0 - -1)). Determine l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + b + b)*(b**2 + 76 - 213*b + 213*b + 2*b**3) as x*b**4 + l*b**3 + r*b + a*b**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.5. Let p be 594\/(-54) - 6\/(-1). What is the third smallest value in p, -0.3, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2891 (base 16) to base 14.\nAnswer: 3adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + -3 - (3 - 9 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1914*l**2 - 53*l + 983*l**2 - 103*l + 951*l**2.\nAnswer: 20*l**2 - 156*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) 0.1 (b) 1 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(-11\/9) assuming s is positive.\nAnswer: s**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291.\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 14*h + 37, 0 = -3*c + 4*h - 70139 + 70212 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.04, 19775, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 21 - -9 - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*i + 5544 = 363*i + 1526 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/(15\/4*(-36)\/(-30)). What is the second smallest value in 114, -0.1, -0.4, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -941872 divided by -1591\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492 and 125829.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*w + 10070 - 10053 + 26*w)*(-2 + 2*w**2 + 2).\nAnswer: 116*w**3 + 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/4 + -3. Let m be (2\/(-21)*33 + 4)*(-189)\/108. Sort m, x, -2 in descending order.\nAnswer: x, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/9)\/d)\/d*d*d*d)\/(d*d**3))**(2\/15)*((d\/d**0)\/d)**(-4\/11)\/(d*d**2\/d*d)**(-44) assuming d is positive.\nAnswer: d**(17768\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 45 = 5*t, -54*t - 6 = -h - 50*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(114)\/(sqrt(6)*-2))**2*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(1 + (-6)\/3). Let o = 3 + d. Suppose o*t + 24 = 6*t. Which is the closest to t? (a) 2 (b) 1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8) + 210\/(-24). Let x = 13 + f. Suppose 2*y + 2 = n, -y = -0*n + x*n - 21. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 6 - (-63 - (5 + -11)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/8))\/(p\/p**(-2\/3))*(p*(p*p\/p**(-7))\/p)\/(p*p**0*p) assuming p is positive.\nAnswer: p**(179\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -543496969*c**6 + 360*c**2 + 777067*c.\nAnswer: -65219636280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -3. Let v = 4.185 - 0.085. Let c = 0.1 - v. Sort -1\/5, c, r.\nAnswer: c, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 67, 104, 161, 244, 359, 512, 709?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/43 - -56\/215. Factor -1\/5*v - 1\/5*v**3 + 0 - k*v**2.\nAnswer: -v*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618848513 to the power of 1\/2, to the nearest integer?\nAnswer: 24877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 9*m - m. Suppose m*b = 4*b - 36. Find the third derivative of b*l**6 - 8567*l**5 + 8567*l**5 + 9*l**2 wrt l.\nAnswer: 4320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.3, 9243, 5 in ascending order.\nAnswer: -0.4, 0.3, 5, 9243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4245 - -4245. Let r(v) be the third derivative of 31*v**2 + 0*v + 0*v**5 + 1\/360*v**6 + 0*v**3 - 1\/72*v**4 + y. Factor r(t).\nAnswer: t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:17 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 5:45 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 197944241*s**3 + 3153520 wrt s.\nAnswer: 593832723*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/27)\/(-4) - (-935)\/495. Let c(m) = m. Let u(v) = 4*v**2 + 2*v + 3. Calculate b*c(q) - u(q).\nAnswer: -4*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 4247527425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/2 - 100131*n\/2 - 150210 = 0. What is n?\nAnswer: -3, 33380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j. Let d(b) = 6*b**3 + b. Let s(w) = d(w) - 6*y(w). What is the second derivative of s(l) wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(110)\/sqrt(160)*-6.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206663 is divided by 34429.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let z(t) = 32*t**2. Let i(x) = -129*x**2. Let o(l) = -2*i(l) - 9*z(l). What is o(u(h))?\nAnswer: -120*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:26 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 1, a: 2, d: 2, k: 1}. Give prob of sequence xxee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6535099011 from -1289.\nAnswer: -6535100300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2690, 2604, 2542, 2504?\n\"Answer: 12*j**2 - 122*j + 2800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvvv when four letters picked without replacement from {v: 6, h: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 684572 - 2053708\/3. Solve -o*p**2 - 2\/3 + 8\/3*p = 0 for p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/24 and 119\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {p: 2, f: 3, e: 2, s: 4, w: 1, j: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/36*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 669174*b - 172. Let z be f(-22). What is z rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, m: 2, g: 1, u: 2}. Give prob of picking 1 p and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1487\/7 + -25961\/126. Calculate the common denominator of m and -25\/542.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = c + 3. Let h(n) = -n**3 + 6*n**2 + 3*n + 5. Let y be h(c). Suppose 0*l - y = -l. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g + 3. Let t(w) = w**2 - w - 1. Let u(a) = a**2 + 5*a - 37. Let o be u(-9). What is o*b(k) + t(k)?\nAnswer: -k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s. Let n be ((-7)\/(-14))\/((-1)\/12). Let c(h) = h**2 + 5*h - 4. Let f be c(n). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 19403 - 19382 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(76) + -2)**2.\nAnswer: -48*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.0000023 - -85. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -21. Suppose 2*h - 21 + 9 = -f, -23 = -4*f - s*h. Let z = 22 - f. Calculate the highest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.2. Let i = 294.146 + 0.854. Let n = i + -297. Put -1, b, n, -4 in descending order.\nAnswer: b, -1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16923733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*p + 49 = 0, 2*n + 2*p - p - 35 = 0. Suppose 3*m - n = -3*g, 2*m - 4 = -3*g - g. 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: What is the least common multiple of 60 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*((sqrt(320) + 5 + sqrt(5))**2 + sqrt(45)\/(sqrt(90)\/sqrt(10))).\nAnswer: -1291 - 273*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465 and 5?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9001, 18004, 27007?\n\"Answer: 9003*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3469 (b) -4735\/3 (c) 1\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278.8 + 263. Let i = s + 16.2. What is the closest to -0.1 in -5, i, -5\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250427857\/1477935 + 2\/164215. Let g = q - 169. Suppose 2*y - 3 = -5. Is y > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888514 (base 10) to base 6.\nAnswer: 31013254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -6, 2\/65, -2\/13, 1?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*y, 0*g - 232 = -3*g + 5*y. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.65036ml in litres?\nAnswer: 0.05465036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-168)\/(-30) - (-6)\/15. Suppose 0 = 3*l - g - 30. Solve 0 = -k + 7*k + l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -3, -1, 1, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {y: 4, m: 2, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112110211 (base 3) in base 10?\nAnswer: -108967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517109 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-130))\/(1\/(10\/(-2)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10528 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*u + 400 = -187*u + 380*u. Calculate the highest common divisor of 195 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {q: 7, w: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11329964.\nAnswer: 2, 2832491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 6. Calculate the lowest common multiple of r(-3) and 271.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/14081 + -577477\/1098318. Calculate the common denominator of s and -77\/10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-50)\/4 + (-93)\/(-15) + -6 and 43\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hduh when four letters picked without replacement from kqdeeeeekkkekqhqeehu?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 4. Let w be c(6). Suppose -8 + w = -d. Factor -4*f**2 + 12*f**3 + 6 - 2*f**5 - 2*f - 16*f - 3*f**4 + 8*f + f**d.\nAnswer: -2*(f - 1)**3*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/5))\/s)**39*s*s\/(s**(-7)*s)*s*s**5)\/(((s\/(s\/(s*s**(2\/9))))\/s)\/(s*s**7*s))**(8\/3) assuming s is positive.\nAnswer: s**(2944\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/33 and 113\/408.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d64 (base 16) to base 15.\nAnswer: 846e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 6, f: 1}. What is prob of sequence hy?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28)\/(-196)*-14 - 34641\/((-1)\/1) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2668308?\nAnswer: 2, 3, 229, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5 - 444*x**4 + 1776*x**3 + 162896*x**2 - 652608*x = 0?\nAnswer: -18, 0, 4, 22, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8442 + 50527\/6. Calculate the common denominator of a and (1\/10)\/(7 + -6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/2760 and 113\/134550?\nAnswer: 538200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 13*h = 176. Suppose -3*q - 85 = -h. What is the highest common factor of 17 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + f**2 - 2*f - 2. Let r(n) = 1367*n**3 + 4508*n**2 + 6*n + 6. Let g(i) = r(i) + 3*y(i). What is the third derivative of g(d) wrt d?\nAnswer: 8220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g*g**1)\/g)\/g)\/g))\/g**(-2\/9)*g**3\/g*g*g\/((g*g*g**(-3))\/g)*g)\/((g**(-6)\/(((g*g*g**2)\/g)\/g))\/(g\/g**(2\/5)*g**(3\/5)\/g)) assuming g is positive.\nAnswer: g**(784\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049986 to the power of 1\/2, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -10. Suppose 3*v = 15 - 9. Let i(n) = -v*n - 7*n**2 - n + 8*n. Let t(w) = -13*w**2 + 9*w. Give s*t(l) + 11*i(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*v + 24 - 8 = 0, 4 = d - v. Suppose d = -408*r + 407*r + 601. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1773744 and 6208104?\nAnswer: 12416208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-468)\/20 + 4\/10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 1\/43 (c) -0.23 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000780602696 rounded to six decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3355.28947 and 3.\nAnswer: -3352.28947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281969560?\nAnswer: 2, 5, 7049239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 223*i**2 - 12679*i - 1867. Calculate g(57).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -5 (c) -35 (d) 0.2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 6 + 1)*(3*o + 3*o - 5*o)*(34 - 209 - 169).\nAnswer: -3440*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 + 2*x - 8. Let k be p(5). Let s be (2 + 1\/k)*-6. Is 27\/5 + 6\/s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 256 = -y, 2*y + 860 = 5*a - 413. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 972 = d, -m + d + 481 = -d. Let w = 1042 - m. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115\/2 (b) -1\/5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396) - (4 + (sqrt(396)*1 - sqrt(396))) - 3*(sqrt(396) + 1)) + (sqrt(396)*1 + 4)*5 + 1)**2.\nAnswer: 324*sqrt(11) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7255 + 40816 = k, 4*k - 134144 = -4*t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3401, -3419, -3471, -3575, -3749, -4011, -4379, -4871?\n\"Answer: -3*g**3 + g**2 - 3399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 49, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6666 + (-3)\/5 + (-51)\/15. What is w rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119456 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 323822938.\nAnswer: 323822941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:25 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -598, -5053, -17152, -40717, -79570, -137533, -218428?\n\"Answer: -637*i**3 + 4*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 24431 = 432239. What are the prime factors of q?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/13 - 10*h**3\/13 - 18*h**2\/13 - 14*h\/13 - 4\/13 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 279 - 279.28. Let u = 0.27969 + c. What is u rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3732 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 301 = 980. Let x = v + 124. Which is bigger: x or 23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = -2816370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 3 (c) -661 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*s**3 - 25*s**2 - 11293*s wrt s.\nAnswer: 576*s - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483267 is divided by 10282.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001111111010011010011101 + 101?\nAnswer: 110001111111010011010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 19*y**9\/72 + 7*y**5\/60 + y**4\/6 - 11*y**2 + 2*y. What is the third derivative of a(q) wrt q?\nAnswer: 15960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1 - (6 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72893786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13709*f - a + 3 = -13705*f, 3*f - 9 = -4*f - a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5649413*d + 11437600.\nAnswer: 5649413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + 6. Suppose -2*l = -3*l - c*p + 33, -2*l + 34 = 2*p. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 2, f: 1}. Give prob of picking 1 f and 2 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*y**3 - 1706*y**2 + 1706*y**2.\nAnswer: 50*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 334730449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7)*1) + (2 + sqrt(2448) + sqrt(2448) + sqrt(2448) - sqrt(2448))**2.\nAnswer: 97*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 2. Let j be b(-3). What are the prime factors of (1*11)\/(8\/j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v + 2. What is the common denominator of (-6)\/4*(-83)\/v and 2 - 2 - 119\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2041 - -0.12.\nAnswer: -2040.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/61)\/y*y**1 assuming y is positive.\nAnswer: y**(2\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4210.834 millilitres?\nAnswer: 4.210834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.127 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*b + 561, -675 = 3*b - 8*b - u. Let m = 158 + b. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 757301836?\nAnswer: 3786509180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 82518579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7862697, 7862689, 7862669, 7862631, 7862569, 7862477, 7862349?\nAnswer: 7862179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 62*f - 8632. Give o(-42).\nAnswer: 2792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, -32744 in ascending order.\nAnswer: -32744, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713.5864 litres to millilitres.\nAnswer: 713586.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Let v = -7 + l. Which is the closest to -1\/4? (a) v (b) 1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, -0.5, -2, -40\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from hvvvvvvvvvvvhvvvvv?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.888 + 0.048. Let y = k + -0.16. Which is the second smallest value? (a) y (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/185512 and -79\/12.\nAnswer: 556536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = -7*n + 3957. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-68)*14*88\/(-2310)*(-15)\/93.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2864, 3044, 3208, 3356, 3488, 3604?\nAnswer: 3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1420 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775798 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-1)\/(-2))*(-10)\/(-20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*m*o - 3*g**2*o + 6*g**2 + 683*g*m*o + 84*g wrt m?\nAnswer: -g**2*o + 683*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233249597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26 = 3*g - 2*o, -3*g - o + 92 = 0. Let x be (-12)\/60 - (-26)\/g. Factor -x + h**2 + 5\/3*h.\nAnswer: (h + 2)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u - 2*u = 398 - 806 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005487 to 7 dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, -3\/8, 0.039 in decreasing order.\nAnswer: 2.5, 0.039, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 121 = -4*o, -o - 4*q + 16 + 11 = 0. Suppose -12*r - 399 = -o*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 3 - 2)*(-4 + 1 + 1)*(4*d - 6*d - 478 + 473) to the form k*d + f and give f.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 58, 1\/4, 50, 0.8?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.9 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -21. Does 16 divide (-1)\/((q - -7)\/(-64))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/(g**(-1)*g*g*g))**32*(g**(-8)\/g*g\/((g\/(g*g\/(g\/g**(2\/15)))*g)\/g))**(-5) assuming g is positive.\nAnswer: g**(-158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8564 + 1.9. Let j = l - 207.0436. Let s = j + 206.9999841. Round s to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540035262 divided by -24219\nAnswer: 22298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.123 - -0.1564. Round f to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wppwpkbqwwqppqkpw. Give prob of picking 1 w, 1 p, and 1 k.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11441912 + 4?\nAnswer: 11441916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*f**3 - 1 - f + 2*f**3 + f + (0*f + 0*f + 2*f)*(f**2 + f - f) - f**2 + f**3 + f**2)*(-5*f**2 + 7*f - 5*f - 145*f).\nAnswer: -10*f**5 - 286*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1889 - -3944. List the prime factors of n.\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 2*t - 1. Let b be r(1). Let z be 5*(b\/(-10) + 0). Let h be (8\/4)\/((-2)\/(-8)). Solve -h*a + 10 = -z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -765088*-204\nAnswer: 156077952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/5423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(2 - 1 - 3)*(4*t**4 + 3*t**4 - t**4).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5010375 is divided by 867.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 18*m**2 - m - 79. Give z(6).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115241\/22 - -5240. Let j be 2\/(-6) + (-128)\/(-6). Find the common denominator of t and ((-6)\/80)\/(j\/(-98)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1344*s**5 - 2752*s**5 + 1340*s**5)*((7 - 2 - 3)*(-5 + 0 + 3) + 3 - 3 - 1).\nAnswer: 340*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(21\/(-224)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2268588 by -226.\nAnswer: -10038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18576 - 60456 = -24*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 + 2*w + 28*w**3 - 12*w**3 - 11*w**3 + 3*w**2 - 1 as z*w**3 + g*w**2 + f + x*w and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7185661.\nAnswer: 7, 919, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 2, q: 1, s: 1, g: 1, e: 1}. Give prob of sequence es.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742*b + 38*b**2 - 73*b**2 + 36*b**2.\nAnswer: b**2 + 742*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 2\/(-1) - -2. Let y = a + -3. Let i be 10\/(2 + 0 + 0). Solve 3*n - b = -20, 0*n + i*n + 15 = -y*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -94*y - 29. What are the prime factors of t(-6)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3693624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.045 + 0.045. Let r = 20.6 + l. What is r rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 11*y**2 + 15*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + 11 - (25 + -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o. Let c(g) be the second derivative of o + 1\/6*g**4 + 1\/3*g**3 + g + 0*g**2. What is the second derivative of c(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1991?\nAnswer: 2\/1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 4*x**3\/3 + x**2\/2 - 7*x. Calculate the remainder when 27 is divided by z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 83, -3 in descending order.\nAnswer: 83, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - (-2)\/(-6). Suppose 0*x + 5*x + 10 = 0. Let i(k) = k**3 + 2*k**2 - 3*k - 4. Let y be i(x). Sort -0.4, s, y in descending order.\nAnswer: y, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 58734070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c (base 15) to base 4.\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1520)\/48 + (-2)\/(-3). Let r = -28 - i. Suppose -5*c + 4*o = -2, r*o - 22 = -4*c - 8. Solve c = -2*q, -2*q = -5*g + g - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*a**2*b - 84533*a**2*k + 68*a*b*k - 19*a*k - 3*a + 10*b*k + 9 wrt a?\nAnswer: 212*b - 169066*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*h - 49, -5*h + 43 = 2*a + 2*a. Calculate the remainder when 77 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**13)**(-8)\/(f*f*f*f\/(f*f**(-13\/6)*f)*f)**36)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 2)\/(1 - -3). Suppose -5*n - 13 + 18 = 0. Let x be n - (75\/(-10))\/(-3). Which is the nearest to 1\/4? (a) x (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/10*(-1 + (-7)\/(-2)). Suppose -l - 4*u + 1 + 1 = 0, l - p = 4*u. Solve -4*a + l*a = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1304461, 2608986, 3913509, 5218030, 6522549, 7827066?\n\"Answer: -r**2 + 1304528*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*120\/96.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -827\/67?\nAnswer: -827\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102\/71 + 785\/497. What is the second smallest value in u, 6, -0.03, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 2*r**2 + r - 3. Let x be f(-3). Suppose -p - x = -2*p. Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*r - 74199 = -14*r, 5*r - 29700 = -2*z. List the prime factors of z.\nAnswer: 3, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*s**2 - 13*s**3 + s**2 + 9*s**3 - 2*s**2 - 254 + s**2 wrt s?\nAnswer: -12*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 81 - 57 = 6*t + 54*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 - 2. Let y be w(5). What is the units digit of (-3 - -8)\/((-1)\/y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 52385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.45.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, c: 9, m: 2}. What is prob of picking 1 p and 2 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 3*l + 3, 4*l = 4*k. Put -2, k, 6 in descending order.\nAnswer: 6, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 7*z**2 + z - 10. Let w be k(7). Let m(r) = r**2 + 4*r. Let q be m(w). Which is greater: -7\/3 or q?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + v + 2 = -0, -2 = 5*l - 3*v. Suppose -6 = -l*p - 2. Factor -x**2 - 8*x - 2*x**p + 11*x - 7*x + 4.\nAnswer: -(x + 2)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewwh when four letters picked without replacement from {q: 1, h: 2, e: 1, u: 1, w: 2, v: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1799 divide 97300205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304282 divided by 1704.\nAnswer: 152141\/852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -31, -38, -31, -4, 49, 134?\n\"Answer: o**3 - 2*o**2 - 16*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 + 4*w**3\/3 + 25*w**2\/2 - 39*w + 133. What are the prime factors of a(6)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2*x**2 - 2*x**4 + 2*x**2) - x**4 + 2*x**4 + 0*x**4 + 3*x**4 + 0*x + 0*x + (-x + x**3 + x)*(x - 4*x + 4*x).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - i + 291. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1217*m**3 - m**2 - 3*m - 2. Is r(-1) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7220.0362 - 7219. Let b = c - 1.05. What is b rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**3\/3 - 15*o**2\/2 - 9*o + 643. What is k(-17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let o be (1 - (0 + 2)) + -1. Let y(c) = c**2 + 8*c + 7. Let l be y(-7). Put r, o, l in increasing order.\nAnswer: o, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 5. Let s be n(0). Let v be 5\/(-1*(-1 + 0)). Suppose 0 = -0*w + v*w. Sort s, w, 6 in decreasing order.\nAnswer: 6, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/433?\nAnswer: -1\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 580 - 376. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993070 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8929718 divided by -189994?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 130337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-4))\/(7\/(-28)). Let j be 0 + k\/10*2. Solve j*f + 6 + 6 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(sqrt(432) + ((sqrt(432)*3 - sqrt(432)) + 3 - sqrt(432)))**2*6 + 2.\nAnswer: 5184*sqrt(3) + 62539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36040a6 + -4a?\nAnswer: -3604145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllyhyrllpyhlyll. What is prob of picking 1 l and 2 y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from whwwhhhx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**3 - 120*u**2 - 379*u + 41. Determine g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171574?\nAnswer: 2, 23, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570.72655 rounded to the nearest 10?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79792592041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*x**2*x)\/x*x)))**32*(x**0)**(-14\/9) assuming x is positive.\nAnswer: x**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111122 + -11?\nAnswer: -111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.013 (b) 1 (c) 408864\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -0.05. Let r = 0.1 + w. What is the second smallest value in -2\/3, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -487.07853 - 0.02147. Let p = 532 + a. What is p rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4104798 and 114?\nAnswer: 4104798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 56. Let r = m + 7. Let g = -52.99999926 - r. Round g to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 289.6186kg?\nAnswer: 289618600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -217408, -217232, -216950, -216562?\n\"Answer: 53*a**2 + 17*a - 217478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -5 (b) 0.5 (c) -4 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*f**2 + 1623*f\/2 + 2079\/2.\nAnswer: (f + 3)*(310*f + 693)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/5)\/((-10)\/(-25)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5275044 decades to centuries.\nAnswer: 0.05275044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 85*x**2 + 8*x + 6. What are the prime factors of d(5)?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-40) + 0 + 8*316\/320 + -3. Solve 4\/5*i**3 + 8\/5 + u*i + 18\/5*i**2 = 0 for i.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/25)*s))**(-10) assuming s is positive.\nAnswer: s**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -302.8 - -279. Let f = -26.8 - n. Let w be (-4*1\/1)\/(-2). Which is the fourth biggest value? (a) -5 (b) f (c) 0.5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -539*k + 737. What is the tens digit of f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*g + 4*h + 8, 4*g + 3*h - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l + 3. Let c(p) = 46*p - 7. Let o(h) = -11*a(h) - 6*c(h). Let b be o(-5). Let t = b - 89. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 215*a + 38. Let p be w(1). Calculate the greatest common divisor of p and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 95*z - 22. Let c(j) = -284*j + 61. What is 4*c(w) + 11*p(w)?\nAnswer: -91*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 3. Let v(z) = z - 1. Let t = 5 - 2. Suppose -4*n - 12 = -0*n, -4*n = t*o. Give o*v(q) - h(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x - 1. Suppose 5*d + 4*i = -20, 5*d + 3*i + 25 = -2*i. Suppose d = h - 3*h. Suppose h = a - 4*a - 3. Calculate z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69709 rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(832))**2 - ((5 + 0 + sqrt(13))**2 - sqrt(117)*-2).\nAnswer: -16*sqrt(13) + 794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z - 330. Determine q(0).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 12, 3*d + 0*d = j - 20. Suppose -18*g + j*g + 679 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 + 1)*(13 - 5*o - 7 + 4*o) to u + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(288) + 1) + 3 + 6*(sqrt(2) - (sqrt(32) + 3)))**2 + -5.\nAnswer: 3780*sqrt(2) + 16636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:02 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6 - m**3 + 3 - 3*m + 5*m**2 - 4. Let c(p) = p**2 - 2*p - 4. Let h be c(-2). Suppose h*z = -6*z + 40. Give q(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3661 divide 48764520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.080551 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*n - 2 = 0, -5*z + 44 = -5*n - 26. Solve -z*y + 2*y = 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 109350073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1852 - -3779\/2. Find the common denominator of (-1)\/((-8)\/(-60)) - -3 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/19)*i**(-6)*((((i*i*i**(1\/5))\/i)\/i)\/i*i*i)\/(i\/((i**0\/i*i)\/i)) assuming i is positive.\nAnswer: i**(-656\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldd when three letters picked without replacement from {d: 5, l: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30355 + -64?\nAnswer: 30271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 6 = -3*p, -2*p + p - 5*b = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.6 - 16. Let h = -43 + 43.4. Which is the nearest to 2\/7? (a) h (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -17. Suppose -y*k + 50 = -328. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:04 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**5\/25 + 19*x**4\/4 + 93*x**3\/5 + 277*x**2\/10 + 92*x\/5 + 1817. Determine h so that l(h) = 0.\nAnswer: -92, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-261) + 73\/45\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5100746245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + 0*b**4 + 6*b**4 + (-3*b**4 - b**4 + 2*b**4)*(5 - 7 + 8).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-3472)*56)\/(2\/88*2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 13*t**2 + 13*t + 7. Let c be u(12). Let k(d) = 36*d + 1 - c*d - 8 + 26*d. What is the hundreds digit of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 > 82.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191910 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8786.6 - 8787. Let k = -19.6 + 2.6. Which is the closest to 0.1? (a) k (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*q + 126*q + 47*q + 240. Suppose 6*d = -4*l + d - 19, l = -d - 4. Put l, 2, q, 8 in decreasing order.\nAnswer: 8, 2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 4. Sort 0, b, -6 in decreasing order.\nAnswer: b, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*r + 7 + 195*r - 126*r - 126*r - r**2 as u + d*r + o*r**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 912460.2 days in microseconds?\nAnswer: 78836561280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**2 - 3*w + 133. Let s(x) = 98*x - 180*x + 93*x + 9. Give 3*s(m) + 8*y(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.6 - -13. Let a = 1 - u. Let f = 25105 - 25072. What is the second biggest value in f, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 665926, 1331926, 1998048, 2664352, 3330898, 3997746?\n\"Answer: 10*y**3 + y**2 + 665927*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460367, -920731, -1381095?\nAnswer: -1841459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 95 + 3*g - g - 3*g - 5*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.424 and 0.07?\nAnswer: 1.77968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514458, -2057728, -4629804, -8230686?\nAnswer: -12860374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -204 - -a?\nAnswer: -1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y + 3536. Let g = 53 - 48. Suppose -g*w = -w - y. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.842 - 0.158. Let i = -117.7 - -76.8. Let q = i - j. Which is the biggest value? (a) q (b) 2\/9 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i + 6043*u - 6041*u - 26, 5*u = i - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**10*q)\/q*q)\/q*q**7 assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 m when three letters picked without replacement from {p: 1, d: 1, q: 1, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - (-1898)\/6)\/((-48)\/(-1008))?\nAnswer: 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3330 (base 4) in base 5?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14555, 14567, 14601, 14669, 14783, 14955, 15197, 15521?\nAnswer: 15939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - -5.01. Let i = -5 + z. Let t = 0 - 0. Which is the closest to t? (a) -0.5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -135*y**2 - 144*y - 4. Determine k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-15))\/6*(-70)\/98?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.090258 millilitres in litres?\nAnswer: 0.003090258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, y: 12, o: 1}. What is prob of picking 1 y and 3 f?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {h: 1, g: 1, l: 3, p: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047338093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757032 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/12 + y**3\/6 + 5*y**2\/2 + 3*y. Let z be n(0). Let f(q) = -q**3 + 6*q**2 - 3*q - 3. What is f(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpj. What is prob of sequence jp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-9 + 4 + 13)*(-1 + 1 - 1)*(0*r**2 + 0*r**2 + r**2).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*t - 2678 = 145*t. Calculate the remainder when 655 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let -w**4 + 2*w**5 - w**4 + 12*w**3 - 8*w**c - 6*w**4 + 2*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 7. Suppose 0*j + 4*j - d = 0. Suppose 0 = 3*h - j*h - 2*l - 10, 3*h + 2*l - 14 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 961, 959, 955, 949?\n\"Answer: -q**2 + q + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 19 - u + 5*u**2 + 0*u - u**3. Let d be p(0). Solve 4*v - d = 3*v + 3*a, -5*a - 41 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90721 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224701 is divided by 7438?\nAnswer: 4869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -1324431017.\nAnswer: -1324431022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyq when three letters picked without replacement from {q: 2, y: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 12*m + 500. Let r be q(29). What is the third smallest value in 1\/29, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 - j - 30. Determine m(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(11) - (sqrt(11) + sqrt(11) + 1)*-1)*-2 + -3.\nAnswer: -6*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 3*v + 9. Let o(u) = -u**2 + u. Determine -g(f) - 3*o(f).\nAnswer: 5*f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as 49541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000288 divided by 4?\nAnswer: 1250072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from fqppqfdfffqqppp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-1134) + (-23)\/135?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 + 98*q - 194*q + 105*q. Let n be i(6). Suppose 3*b - 44 = 34. Calculate the highest common factor of b and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1069*x + 12032. Is r(8) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5431 - -7183.7. What is z rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 1. Let t be a(-8). Let d be (3 - 0) + t + -2. Solve 2*g**5 + d*g**3 + 4*g**4 - 2*g + 2*g = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 82, 184, 326, 508, 730?\n\"Answer: 20*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 13720032.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 4*d - 2. Let l be n(-5). Suppose l = 3*v - 3*z, v + z = -2*z + 1. Suppose 0 = -y - v + 4. Solve -y*i - 9 = m, -3*i - 3*m - 18 = m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -17*s - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1604562289 and -1621.\nAnswer: 1604560668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 3. Let z(d) = -d**2 - 6*d - 1. Let j be z(-6). Let s be (3\/(-6))\/(j\/q). Which is the smallest value? (a) 0.3 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3760 = 2*j - 1954, 5*j - 4*v - 14289 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567 and 306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Suppose 3*f - 8 - 24 = -2*d, -3*d = -2*f + 17. Let n(t) = -t + 2. Let x be n(0). Solve x = q*g + f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 241 + 90*t**3 - 89*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*(v*v\/(v\/(v*v**(7\/4)\/v)))\/v*v))\/v**(-3\/2))**(-4\/19))**(-39) assuming v is positive.\nAnswer: v**(-351\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i + 89*i - 65 = 26*i + 657 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.571291 * -0.1\nAnswer: -0.4571291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15\/8)*o)\/(o**(8\/5)\/o) assuming o is positive.\nAnswer: o**(-59\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 1. Let k(l) = -11 - l + 2 + 8. Let w(b) = -a(b) + 6*k(b). What is the tens digit of w(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6*i + 328. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 1. What is g(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 10021112102020?\nAnswer: -10021112102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14203 divided by -7\nAnswer: -2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6\/(-9)) - (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -7.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 7 = -35. Solve -8*q = -p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 8, -5\/207, -5, -3, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - s + 40096, -2*s = -7*b - 36073 + 129652. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 - -5. Let w(g) = 724*g - 3*g**3 - 712*g - 10 - g**3 + 3*g**3 + 3*g**2. Let u be w(5). What is the second smallest value in -0.6, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) -6924 (c) 0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 0, 2, 1, -7, 4 in decreasing order.\nAnswer: 4, 2, 1, 0, -7, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 46647*o + 4028. Is g(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.26 to the nearest integer.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.086 and -191.\nAnswer: -191.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138265 is divided by 1411.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -589*a**4 - 41258*a**2 + 462553*a + 189.\nAnswer: -7068*a**2 - 82516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -2. Suppose -54 = -3*v + 6*u, -5*u = 7*v - 8*u - 159. Calculate the highest common divisor of a and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 9, m: 7, i: 2}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*h - 1, -1705 = -5*y - 4*h. Suppose -5*f - 229 = -2*v, 2*v - y = -v + f. Let r = 40 + -26. Calculate the highest common divisor of v and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 4*i - 2, -15 = -3*i. Suppose 14*j - 13*j - h = 0. Solve -9 = -d - 5*c, -5*c = 1 - j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*i = -313*i + 7524. Let c(y) = -2 + i*y**3 - 5*y**2 - 629*y**3 - 624*y**3 - 3 + y. Determine c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65939?\nAnswer: 233, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {o: 2, g: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 226029 plus -0.3?\nAnswer: 226028.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(168)*2 + sqrt(168) - sqrt(168)))\/(sqrt(7) + ((1*sqrt(84))\/sqrt(12) - sqrt(7)) + sqrt(7)))\/(-1*(-4*1*sqrt(800) - sqrt(800))).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s**5 - 325*s**4 - 475*s**3 + 225*s**2 + 520*s + 100 = 0. What is s?\nAnswer: -5, -2, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by (-3*(-3)\/(-18))\/(-4 + (-1715)\/(-430))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1211?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 8)*(-4*f**3 + 2*f**3 + 0*f**3)*(-4 + 0 + 2)*(f - 1 + 1) as a*f**4 + x*f**3 + k + c*f**2 + w*f and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71999145 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*-2*sqrt(324))\/(sqrt(132)\/((sqrt(88) - (sqrt(88) - (sqrt(88) - -1*sqrt(88))))\/sqrt(8))))**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1562 and 3749510.\nAnswer: 41244610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 242 divided by -7\nAnswer: -242\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 998a?\nAnswer: 9992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 + 6. Let w = d - -0.3. Let s = -0.3 - w. Which is the biggest value? (a) s (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 97*o. Let p(z) = -5*z. Determine d(p(q)).\nAnswer: -485*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3154*x = -3183*x + 89, -2*m - 27 = 3*x for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 24 = -2*q, 2*q + 16 = 5*q + 2*i. Suppose 12 = 3*c + c. Suppose -c*z + 128 = z. Calculate the greatest common divisor of z and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 28*m**3 - m. Does 9 divide h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 11, 0.06, -2, -1\/2 in decreasing order.\nAnswer: 11, 0.06, -2\/17, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) 1.07065 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:09 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)\/(x\/((x*x\/(x\/x**(1\/2)))\/x*x)))\/((x\/x**(3\/23))\/(x\/x**(-38))))**(1\/7) assuming x is positive.\nAnswer: x**(1087\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*(j*j**(-1\/2))\/j)\/j)\/j)**30\/(j\/((j*j\/j**(5\/9)*j*j*j*j)\/j))**(1\/48) assuming j is positive.\nAnswer: j**(-6449\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 6773609?\nAnswer: -27\/6773609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*p*w**2 - l**3*p + 37*l**3*w + 4*l**2*w + 1762*l*p*w**2 - 3*p*w wrt w?\nAnswer: 4*l**3*p + 3524*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.95 + -39.95. Sort -3\/11, p, -2, -1, 1\/49 in descending order.\nAnswer: p, 1\/49, -3\/11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*(6 - (-18)\/12). Suppose -8 = -2*h, 2*y + v*h = 4*h - 4. Let u(x) = 4*x + 2. Let c(g) = -3*g - 2. Calculate y*u(i) - 5*c(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))**4*m**(2\/9)*m**(-2\/11)*m assuming m is positive.\nAnswer: m**(1291\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*(1 - -3)\/12. Suppose 0 = 2*j - o - 4. Solve -16 = 2*f + 3*d - 2, -j*f - 25 = 5*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -104*m**3 - 2*m**2 + 169*m - 168. What is r(1)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/8 (b) 11 (c) -37.6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49703*g**4 - 1024389*g?\nAnswer: -596436*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2575 + 1224. Which is the third biggest value? (a) k (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -8. Let b = -136 + 145. Let j(r) = -b*r + 7*r**3 - 3*r**2 - 8 - 5*r**2 - 8*r**3. What is j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/c**(-10)*c)\/c)\/(c**(-6)\/c))\/(c\/(c\/((c**(2\/3)*c)\/c)))**(-1\/48))**(-50) assuming c is positive.\nAnswer: c**(-34225\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24939304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72942876864*o**3\/5 + 13253383728*o**2\/5 + 325673*o + 10 = 0 for o.\nAnswer: -5\/81432, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4*(-51)\/1836*2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69550.\nAnswer: 2, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 3645*a**2.\nAnswer: 5*a**2*(a - 729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16771685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/9 - 26\/9*w**2 - 178\/9*w.\nAnswer: -2*(w + 7)*(13*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 3*m**2 - m + 2. Let v be l(2). Let f(p) = p**2 + 8*p + 4. Let n be f(-7). Is v > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let s(w) be the first derivative of 0*w + 0*w**4 + 1\/9*w**6 - 2 + 0*w**2 + 2\/15*w**5 + o*w**3. Factor s(z).\nAnswer: 2*z**4*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6))**(1\/7)\/(r*r**(-13)\/r*(r*r**7*r*r*r)\/r*r) assuming r is positive.\nAnswer: r**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -4*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -357783.421 to the nearest one thousand.\nAnswer: -358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 305.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2005\/8 + 251. Which is the closest to u? (a) -1 (b) -2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, m: 1, f: 2, r: 2}. Give prob of picking 1 f and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020*j + 19512 - 103 = -473*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**19)\/(r*r**(-2\/49))*r**(-2\/9)*r**(-24))**(2\/89) assuming r is positive.\nAnswer: r**(-4570\/39249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a**2 + a. Let w(q) = 8*q**2. What is w(n(f))?\nAnswer: 968*f**4 + 176*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.017608 + -0.0175. Round q to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -0.2 (c) -0.1 (d) 428\/1243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*u - 177, -2*b = -5*u - 0*u + 67. Round b to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 39*j**2 - 37*j - 40. Let c be g(38). Sort c, 0.3, 0.5, -4 in ascending order.\nAnswer: -4, c, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -35. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 - (0 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/10 - (-198)\/45. Suppose -24 - 196 = -t*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -29*i. Let m(t) = -138*t. Calculate p(m(o)).\nAnswer: 4002*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93197 times -0.095?\nAnswer: -0.08853715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -319c2 - 4?\nAnswer: -319c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -20, -40.9, -10, -4\/9, 2?\nAnswer: -40.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 107837906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -29 + (-5)\/20*-4. Suppose -4*z - w - 157 = -0*w, z + 52 = 4*w. Let x = y - z. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a microgram in nanograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*a + 4, 0 = -b + a + 1 + 5. What are the prime factors of (-1)\/(b\/(-17*4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -2. Let h(d) = -371*d - 4*d**2 + 374*d - 4 - d**3 + d**2. Determine h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/6*(2\/(-1))\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -5\/4, -0.3, 1465?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Which is the nearest to 2? (a) 0 (b) -2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45 + 0 + (0 - -5). Is 32 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3644*c - 3356*c + 455*c**3 + 64*c**2 - 62*c**2 wrt c?\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 0*x - 2*x**2 + 3*x**2 + 2*x. Let g be s(3). Solve g = 4*d - 8*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 915*s**2 + 30*s. Let m(o) = -131*o**2 - 4*o. Let t(r) = 15*m(r) + 2*v(r). Let i(b) = -2*b**2. What is t(i(x))?\nAnswer: -540*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -8) + (-132 - -391 - 237)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -21, -100, -3, -12 in increasing order.\nAnswer: -100, -21, -12, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5))\/((-24)\/120) - -1. Solve 0 = p*o - 8*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39361 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1190717 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-1 - 2\/(-6)). Let z be ((-2)\/b - -2)*3. Solve -4 = t + z*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 0*b + 2*b + b - 1 + 1 + (4 - 1 - 2)*(0*b + 0*b + 2*b) + 5*b - 2*b + 5*b - 36*b - 28*b - 23*b - 2*b + 0*b + b.\nAnswer: -76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62806*p + 61525*p = -128100 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.746052 + -0.271453. Let l = j - -66.530301. Let g = -67 + l. What is g rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/10 + 11*n**4\/6 + 23*n. What is the third derivative of t(g) wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -269*l + 12 + 7*l**2 + 534*l - 276*l. Does 13 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77021*c**2*x**3 - 2*c*x**3 + 898*c*x - 12*c + 2*x wrt c.\nAnswer: 154042*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u**3 + 8*u**2 + 8*u. Let n(c) = 7*c**3 - 5*c**2 - 5*c. Let i be 2\/5 - 156\/15. Let k be -1*1\/((-2)\/i). Give k*d(f) - 8*n(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 183\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*c - 25 = 0, 5*f + 4*c + 2*c - 29 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -1 + sqrt(3) + (sqrt(3) + 0)**2*-4.\nAnswer: -13 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3))**2 + 0 + 0)*-2 + sqrt(108)\/(-5*sqrt(16)).\nAnswer: -6 - 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 2*g + 10815. Calculate d(103).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 120300 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 0, -4*c - 7 = -3*u + 10. Suppose -2*y = -h + 55, 0 = y - 3*h + 17 - 2. Let m = u - y. What is the remainder when m is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let z(g) be the second derivative of -467*g**3\/6 - 2*g + 17. Let u(q) = 233*q. Let n(f) = -9*u(f) - 4*z(f). What is r(n(x))?\nAnswer: -458*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168759 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) + sqrt(102))*-6 + sqrt(102) + (-6*1*sqrt(102) - sqrt(102)))\/(4*sqrt(42)\/(sqrt(28)\/sqrt(4))).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 88*m**2 - 4*m + 7. Let d be x(2). Let o = 351 - d. Solve o = v + 2, -5*c + 3*v - 3 = -8*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11097904?\nAnswer: 2, 693619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -27*n - 114. What is d(-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 9280*k.\nAnswer: -4*k*(k - 2320)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d + 1. Let x(f) be the second derivative of 7*f**5\/20 - f**4\/3 - f**3\/3 - f**2\/2 + f + 72. Let k(i) = -6*w(i) + x(i). What is k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 16*m - 20. Does 10 divide i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*i = 220, 2*u + 64 + 40 = 4*i. Let h = u + 28. Let v = h + 15. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 97a22?\nAnswer: 97a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 29*y - 9. Let i be k(15). What is the least common multiple of 170 and 7452\/529 + i\/(-69)?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4*b - 2*b)*(0 + 0 - 2)*(3 + 4*b - 3) + 3*b**2 - 8*b**2 - 4*b**2.\nAnswer: 55*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*l - 51*l - 11700 = 0 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.1. Let j = x - 0. Let b = 40121\/3 - 13373. Sort j, 0.2, b in decreasing order.\nAnswer: b, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k - 148. Calculate o(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 41*z**3 + 3*z**2 - 3*z + 1. Does 3 divide n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/57426 and 47\/47855.\nAnswer: 287130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -5, 0, 2 in descending order.\nAnswer: 2, 0, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, b: 1, a: 1, p: 1}. What is prob of picking 1 v and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) 0.3 (d) 0.07 (e) -1.311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 5. Suppose 0 = -5*o - 22 + 12. Let s be (-16 - -15)\/(o\/4). Let m be p(s). Solve -f - 3*a = 8, -3*a - 3 = -f + m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11283 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 14*b + 45*r - 91*r - 40 = -48*r, 5*r = -3*b - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07948 - 6.92052. Let l = -12 + 12. Sort 0.4, g, l.\nAnswer: g, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 4:37 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-4)\/(-1) + -3. Let o = 4 + c. Solve 0 = o*u - 6*u - 5*y, -2*u - 6 = 4*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -20*p**2 + 1382*p - 9882. Give v(61).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + 0*m)*((-7*m + 4*m**2 + 7*m)*(-4 + 2 - 6) + (2 - 2 - 2*m)*(93 - m - 93)).\nAnswer: 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 10701776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14674 = -12626. Round r to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -53. Suppose 4*a - 15 = -7. Suppose a*n - 7*n = -160. Calculate the remainder when n is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31975524.\nAnswer: 2, 3, 7, 223, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/16 - (-2)\/4. Let f be x + 1\/(4\/16). Let u(j) = f - 5*j + 7*j + j - 2*j. What is u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*s - 105 = 102 + 159 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 5, 1.8, -298, 18, 2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15026 + -13234. What is the smallest common multiple of a and 2304?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-124))\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s**2)*(s**2 - s**2 - s**2) + s**4 + 2*s**4 + 0*s**4 + s**4 - s**4 - 2*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 14*v = 664. What is the remainder when v\/(-8) + (-6)\/(-4) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -86*c + 18. What is the units digit of l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27590.71 milligrams?\nAnswer: 27590710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15d77 (base 14) to base 2.\nAnswer: -1101011000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w + 15. Let l be (w + 2 + 2)*-2. Let u be (-25)\/l*(-96)\/(-15). What is the greatest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1684 and 16?\nAnswer: 6736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 58.01 (c) 2\/9 (d) 663\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/4 (c) -2\/15 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)\/2 + -1*1. Let i(f) be the second derivative of -1\/3*f**4 + y*f**2 + 0 + 5*f + f**3. Find the second derivative of i(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17959000 a multiple of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2486300 - 3?\nAnswer: -2486303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 - 13 = 0. Suppose 2*f - d*p = 8, 5*p = -3*f + 8 - 36. What is the biggest value in f, 1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46118127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w. Let s(k) be the third derivative of -k**8\/5040 + k**5\/5 - 11*k**2. Let q(o) be the third derivative of s(o). Calculate q(b(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 572 + -470.3. Let g = k + -111. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -992.864509 - -999.7644. Let t = y - 6.9. What is t rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100200101021 (base 3) in base 2?\nAnswer: 1100111000111111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffgf when four letters picked without replacement from {f: 5, g: 1, i: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(65) + sqrt(65)*1 + sqrt(65)))\/(sqrt(405)*-1))**2 + -4*(sqrt(13) + -3 - sqrt(13)) + ((3*sqrt(156) - sqrt(156) - sqrt(156))\/sqrt(12))**2)*3.\nAnswer: 550\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -106701 (base 14) to base 9\nAnswer: -1036201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/4 - 13575*x\/2 + 184280625\/4 = 0.\nAnswer: 13575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 4*(-1)\/(-2). Suppose j*c = 1 - 3. Let u(h) = -2*h**3 - h**2 + 1. Let l be u(c). Solve -5*k + 12 = l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2231 + 2219 = -3*x. Which is the second smallest value? (a) x (b) -2\/9 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2271 - 1602. Let d(b) = 13*b**2 + 5*b - 26. Let k be d(7). Suppose k + w = 5*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-108)*(63 - -73) - (9 + 0)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104256661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1226, 3174, 8468, 18782, 35790, 61166?\nAnswer: 96584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7))\/t)**(-12)\/((t*t**(1\/16))\/(t\/t**(-5))) assuming t is positive.\nAnswer: t**(937\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/143*(-12)\/9*63\/(-14)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {u: 9, g: 2, l: 3, n: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s + 655 = 32*s. Let d = -462 - s. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6140 and 8396450.\nAnswer: 16792900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n, 3*h - 22*n = -20*n + 170. Which is bigger: 53 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 977851 - 977849 - 977814 + 3911356 - 977842.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 99326178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200 or 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + 6 + (-3 - -13 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -87.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.999848 rounded to two dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187123092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus -27007625?\nAnswer: 27007635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -675*r - 993. Determine w(-3).\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(2*l - 2 + 2) + (10 - 30 - 25)*(41*l + 43*l - 8*l) to u + y*l and give y.\nAnswer: -3424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.20342 nanograms in micrograms?\nAnswer: 0.06020342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, 15, -0.4, 0.3, 0.0911 in increasing order.\nAnswer: -0.4, -1\/26, 0.0911, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 2. Suppose 4*y - 57 = -0*y - 5*v, -4*v = 4*y - 52. Suppose -7*m = -y*m - 10. Is t(m) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(72))**2 - sqrt(4)\/(1*sqrt(2)).\nAnswer: 35*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 3. Let h(c) = c**3 - 6*c**2 - 4*c - 16. Let v(u) = 2*u + 7. Let b be v(0). Let p be h(b). What is l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*s - 4176141 = 10*s + 1751751. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04358578 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 + -0.12. Let m be 6\/(-9) + 2671\/132. Let w = -79\/4 + m. Which is the nearest to q? (a) w (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/48 - (-1)\/(-6)*(-33)\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 2*sqrt(119)*5)\/(sqrt(49)\/sqrt(112) - sqrt(7)) + (sqrt(204)\/(-2*sqrt(48)\/sqrt(4))*2)**2.\nAnswer: -44*sqrt(17)\/3 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 1, v: 1, t: 2, n: 2}. Give prob of sequence tpvt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 8*v**2 + 10*v + 11. Let w be r(-9). Suppose 0 = d - 4 + w. Solve f = d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 20*o**2 + o - 8. Let q be s(20). Let l(x) = x**2 - 9*x - 26. Let k be l(q). Calculate the highest common divisor of 70 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.95001 - 0.04999. Is 24 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*i**2 + 822 - 822)*(3 + 7*i - 3 - 3*i + 6*i - 2*i + (3 - 2 + 1)*(-5*i + 0*i + 4*i) + 2*i + 3*i - 4*i + 3 - 3 + 2*i + i - 4 + 4 + 0*i - 3*i + i).\nAnswer: 304*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.541+-1951903\nAnswer: -1951902.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Suppose -2*f = -c*f. Let j be 1\/(f + 1) - 1. Let y(b) = -b**2 - 1. Calculate y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -db (base 16) to base 14\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-16))\/(3\/(-288)). Suppose -51*o = -n*o - 66. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -17. Suppose 3*q - m - 54 = 0, -q + m = -3*q + 36. What is the highest common factor of q and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 + 4*w**2\/5 - 2*w\/5.\nAnswer: -2*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 34*k + 56 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:29 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49630 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 0*k - 3*k + 2*k. What is y(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r. Let u(x) = x - 12 + 0*x + 17. Let l(m) = -m - 2. Let b(k) = -5*l(k) - 2*u(k). Let w(j) = 15*b(j) - 4*d(j). Let v(g) = 3*g**2. What is w(v(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:05 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10217 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, s: 2, n: 8, l: 1}. What is prob of sequence snzz?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.02 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38375691 by 3.\nAnswer: -12791897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - -104) + (-5 - 8)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 27831.\nAnswer: -11\/27831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 6*f + 3*f)*(1 - 2 + 0)*(1 + 1 + 0).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(2 - 13\/(-2)). Let m = -103\/6 - u. Is m less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1199)\/(-231) - -5?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y**3 + 10*y**2 + 7*y + 4. Let s(c) = 9*c**3 + 7*c**2 + 5*c + 3. Suppose 21*v = 20*v + 5. Let n be (-23)\/v + (-10)\/25. Give n*k(g) + 7*s(g).\nAnswer: -2*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 - (-9 + -13) - (0 + -5 - (20 + -31)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**3 + 38*s**3 - 19*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:53 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12517 + -12516.9. Which is the third smallest value? (a) 4\/19 (b) -4 (c) r (d) 1\/12 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-28 - (13 + -33)) + 92 + -10 + 5)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44*213\/(-124960))\/(1\/(3*3\/(-27)))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*x**2 - 583*x wrt x.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5688, -11376, -17066, -22758, -28452, -34148, -39846?\n\"Answer: -l**2 - 5685*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3326, -26546, -89608, -212432, -414938?\nAnswer: -717046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2742921808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137417789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -69. Let j(h) = h**2 - 12*h + 32. Let c be j(n). Suppose 0 = 2*w + 4, 2*x + w = -3*w. Solve q - x*k - 1 = c, q + 4*k - 4 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-19)*-1*16\/(-24).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105640 (base 7) to base 9\nAnswer: -27757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73f634 (base 16) to base 3.\nAnswer: -112022002210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59132750 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**8\/560 - f**5\/30 - f**3\/2 - 3*f. Let w(y) be the second derivative of l(y). What is the second derivative of w(s) wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28520 divided by 5?\nAnswer: 5704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:54 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -u - 2*u. Suppose -37*g = 164 + 946. Let d = u + g. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-12))\/(17\/((-1683)\/(-22)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125342032 (base 6) to base 2.\nAnswer: 1001100010110001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*f - 72 + 31*f**2 - 28 - 8 + 24*f**2 - f**2 + 2*f**3 - 2*f**4 = 0. What is f?\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 2*o - 3. Let y(n) be the first derivative of 5*n**3\/3 - 3*n**2\/2 - 4*n - 606. Calculate -4*l(x) + 3*y(x).\nAnswer: -5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 500*k**4 + 4704*k**3 + 15904*k**2 + 23488*k + 12864 = 0.\nAnswer: -3, -2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -241.9324\nAnswer: 243.9324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 + -1 + 1 + 3 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13ea + 42da?\nAnswer: 2de0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/5 - 118*w\/5 - 728\/5 = 0?\nAnswer: -52, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02679718 to 5 dps.\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 848 + 848.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -338, -303, -266, -227?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 297*g**2 + 40*g - 2519. Is v(-86) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -38149, 3\/5, 1, -2 in descending order.\nAnswer: 2, 1, 3\/5, -2, -3, -38149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35658?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1264 and -15\/1960148.\nAnswer: 7840592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9048 + -1782853637.\nAnswer: -1782844589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773188?\nAnswer: 2, 13, 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359180?\nAnswer: 2, 5, 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0 + 3. Let v(m) = m**2 - 33*m - 68. Let b be v(35). Suppose b = g - 5*a - t, 0 = 2*g - 5*a + 4. Let x(k) = -k. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*c + 62 = 0, -26*c = -13*c - 16*c + 15 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - ((-1215)\/6)\/(-15). Which is the closest to q? (a) 57 (b) 4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -81362\/11897 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6375*d + 1848828. What is j(-290)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288) + 1 + sqrt(288))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jkjqqjojj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3 + (-1)\/(-3). Let r(v) = v + 3. Let o(k) = 12*k**2 - 5*k - 18. Let z be (9\/2)\/(138\/184). Let a(x) = z*r(x) + o(x). Determine a(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0639 times -3\nAnswer: 0.1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x - 834 - 39*x - 225.\nAnswer: -3*x - 1059","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 402507?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2336093, -2336089, -2336085, -2336081, -2336077, -2336073?\nAnswer: -2336069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c**3 - c**3 + (-c**2 - 2*c**2 + 4*c**2)*(-5*c + c + 2*c) + 0*c - c**3 + 0*c - 475*c**3 + 40*c**3 - 827*c**3.\nAnswer: -1264*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*h + 6 - 30 = h, 4*h = -8 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.185 - 91.185. Let p = -14 + 8. Let j = p + 4. Which is the closest to m? (a) j (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28758 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - i**2 - 7*i - 4. Let z be a(-4). Let w = 282 + -78. Let p = z + w. What is the greatest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.661*-5\nAnswer: -203.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/20 and -43\/32218.\nAnswer: 322180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 + 0 - -3)) + (-118 - (-18 + 42))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 689, 1\/4, 258 in increasing order.\nAnswer: 1\/4, 258, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let s(m) = m**3 + 8*m**2 - 11*m - 10. Let a be s(-9). Suppose -4*c - a = -0*c. Let z(q) = 1. Suppose 3 = g + 2. What is c*j(h) + g*z(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 + 3*z - 3. Let k be p(1). Let s = k - 10. Which is smaller: s or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s + 121*s**2 - 68*s**2 - 52*s**2 - 115. What is z(22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-1 + 20300004\/20299996). Let i be (-8)\/60*v + 6\/15. What is i rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048997441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t**3 + 5*t + 30 - 14*t + 10*t. What is c(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 7. Let k(w) = 4 - 1 - 2. Calculate 6*k(y) + r(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 107. Determine l(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 4. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803492684.\nAnswer: 2, 449, 631, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*b**2 - 135*b - 3377*b + 701 - 701 - 47*b**3 wrt b?\nAnswer: -282*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9816239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) - sqrt(14)\/sqrt(2))*-2*1 + ((sqrt(70)*-1 + sqrt(70) - sqrt(70))*5)\/(2*sqrt(10)*-1).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 9329, -48 in ascending order.\nAnswer: -48, 32, 9329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 138*z**3 + 656*z**2 + 1032*z + 512.\nAnswer: 2*(z + 1)*(z + 2)**2*(z + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 65997 - 1538003. Round o to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643585 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 360535*k**3 - k**2 + 235*k - 1299 wrt k?\nAnswer: 2163210*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*z = 364*z + 276*z + 40827 - 12027 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23430, -23481, -23532, -23583, -23634, -23685?\n\"Answer: -51*a - 23379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327795752 to the power of 1\/2, to the nearest integer?\nAnswer: 18105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391902\/17 - -1254088423\/54400. What is the common denominator of -29\/4 and m?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzwwunke. What is prob of picking 1 w, 1 z, and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29\/45 + -2783\/360. Find the common denominator of -115\/12 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**3 + 43*r**2 + 14*r - 45. Let k(y) = -7*y**3 + 29*y**2 + 10*y - 30. Let p(g) = 5*i(g) - 7*k(g). Determine p(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116, -306, -560, -872, -1236, -1646, -2096, -2580?\n\"Answer: z**3 - 38*z**2 - 83*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 115.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5456988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -71?\nAnswer: 5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20*(-4)\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*5*(-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 0, 2*i + 4*w = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 435585190 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let w(v) = -v**3 - 5*v**2 + 5*v + 8. What is the least common multiple of w(-6) and q + 14 - -1 - -2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6723589\/445 - 15109. Let u = 1\/89 + m. Which is the nearest to -1? (a) u (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(500) + -2 + sqrt(500))*-3)**2 - (1*(sqrt(500) - (sqrt(500) + -1) - sqrt(500))*-3 + 1).\nAnswer: -2190*sqrt(5) + 18326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*n - 5, 3*u + 3*n - 3 = 6*n. Let m(t) = -t**3 + 2*t**2 - t - 1. Give m(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-5 - 1 - 55)*(t + 3*t - 3*t) to the form k*t + r and give k.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36124617.2 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 156414?\nAnswer: -156431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44172 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399813927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.03282?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - f - 15 = -2*i, -4*f = 2*i - 6. Let k(h) = 0 - i*h + 0. Let l(m) = -2*m + 2*m - 47712*m**2 + 47717*m**2. Give l(k(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - 3. What is the third biggest value in x, 0.1, 5, -3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:36 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/(w*w**(-6))*((w**0\/w)\/w)**(12\/5))\/(w**(-6)*w*w*w**(-3)*w*((w\/w**5)\/w*w)\/(((w*w**2*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + v**3 - 4*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 13*m - 71. Suppose -3*n = 3*h - 7*n - m, -n + 9 = h. Let g(p) = p**3 - 7*p**2 - 8. Give g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let t(h) = -208003*h. Calculate j(t(c)).\nAnswer: 208003*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 1 + 2\/9*y**3 - 22*y**2 + 726*y. Determine n so that w(n) = 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14127 = -191*b + 389 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hzhhhhhzhhzh?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000111785329 rounded to 7 decimal places?\nAnswer: -0.0001118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64\/15? (a) 3 (b) -9 (c) 140\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/24 and -25\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -326 + 327. What is the nearest to -1 in 3, m, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.2, 0.5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6 = f, 35*o - 32*o - f = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Calculate the remainder when 11 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 33160 = -0*n. Is (-1)\/(-5) + n\/50 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11 and -4.16690606572.\nAnswer: -4.27690606572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104083 - 96380843\/926. Let r = -215911\/162050 - m. Let d = r + -2\/25. Find the common denominator of d and -57\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(324)\/sqrt(12) + -4 + 0 + ((-3*sqrt(27))**2 - (sqrt(75)*-3)**2) + 1.\nAnswer: -437 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019597243 to five dps.\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -331?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018280058 rounded to seven decimal places?\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 319 = -157. Suppose -14*z - v + 446 = 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -9*s + 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*t + 19273, 311*d - 309*d = -t + 9614. Does 56 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.2 - -18. Let k = q - -0.4. What is the closest to k in -2, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17510, -69659, -156578, -278261, -434702?\n\"Answer: b**3 - 17391*b**2 + 17*b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 1386287195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*z = -5*z + 115, r = z + 27. Suppose -3*s + 103 - r = 0. Calculate the remainder when s is divided by 3\/9*(-42)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 2 - 45*z**2 - 78*z**2 + z**3 + 2*z**4 + 73*z**2 to the form j + x*z**4 + b*z**2 + n*z + l*z**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 45. Suppose -25 = 2*k - 3*m, -2*k + 4*m - 30 = -0*k. Let p = s - k. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/216243 + -14273840\/194834943. Let u = v - 31661\/72080. Find the common denominator of u and 5\/18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 3*z**2 - 2*z**3 + (z - 4*z + z)*(4 + z**2 - 4) + 2*z**3 + 2*z - 2*z + 0*z**3 - 75*z**2 + 4*z**3 + 109*z**2.\nAnswer: 2*z**3 + 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r. Let d(j) be the third derivative of 0 - 1\/30*j**5 + 0*j**4 + 5*j**2 + 0*j + 0*j**3. What is q(d(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c94c (base 14) to base 3.\nAnswer: -10201101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5595 + -3590. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4673*x + 3066*x + 73922 = 0 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:03 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 9*a**2 - 7*a + 11. Let h be y(-8). What is the greatest common factor of h and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*o = -146*o + 51984. Calculate the remainder when o is divided by 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2382839.412 less than 0?\nAnswer: 2382839.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d6e + 8?\nAnswer: -4d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/7 (b) 0.3 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -52?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose 3*j + 13 = 3*z + 2*j, -z + 9 = l*j. Solve z*o - 3 = -13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11010111100010000100110?\nAnswer: 11010111100010000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/(-81) - 4\/(-3). Factor u - 3\/5*n**3 - 6\/5*n + 9\/5*n**2.\nAnswer: -3*n*(n - 2)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13542.25 times 0.28?\nAnswer: 3791.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + -10 + 3 + 0\/(-2). Suppose p = 2*b, 7*a - 5*a + 2*b = -6. Sort 5, a, -2, 36 in ascending order.\nAnswer: a, -2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 5*v**2 - 54*v**2 + 10*v**3 + 0*v**2 as w*v + m + t*v**3 + h*v**2 and give h.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1473.\nAnswer: 5\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670860951 to the nearest integer?\nAnswer: 40876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-765)*(85\/(-3570))\/((-2)\/(-40))?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 11*c**2 - 11*c - 7. Let q be a(12). Let o(y) = y**3 - 4*y**2 - 5*y + 6. Let s be o(q). Solve -5*t + s*t = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9106, -36542, -82254, -146236, -228482, -328986, -447742?\n\"Answer: y**3 - 9144*y**2 - 11*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + 3*h - 10. Let o be f(5). Suppose -o*g + 7*g - 68 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36742497*h**3*z**3 - z**3 + 188*z - 30493 wrt h?\nAnswer: -110227491*h**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((-6*(sqrt(192) + -1)*-5)**2 - ((1 + sqrt(192))*-1 + 0)**2)*2.\nAnswer: -4164168 + 345984*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2060294 or -2060293?\nAnswer: -2060294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 + 31 = -3*j, 2*j = -10. Suppose 6*u + 2*k - 108 = 2*u, -3*u = x*k - 86. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:38 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28\/99 + -2\/33. Find b, given that -t*b**2 - 2\/9 + 4\/9*b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 34454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 26*r**2 - 52*r - 224 = 0. Calculate r.\nAnswer: -2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = 60. Let s be 0\/(-1) - n*1. Suppose 2*k + 0*k = 24. Calculate the greatest common factor of k and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 12780*d**3 - 118*d**2 - 4*d - 25 wrt d?\nAnswer: 60*d**2 + 76680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b1324cb + -3?\nAnswer: 2b1324c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12320 + 12361. What is the second biggest value in -0.4, v, -2, 3, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66801, -133572, -200343, -267114, -333885, -400656?\n\"Answer: -66771*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwm when three letters picked without replacement from {a: 4, w: 4, m: 5, e: 5, n: 1}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 947235 and 947239 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6283 and -15.542.\nAnswer: 97650.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 13*j + 224*j + 60*j to l*j + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2015*d - 2014*d = 2*q - 1, 5*q = 4*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 - 154. Let x(t) = 9*t**2 - 12*t + 68. What is the tens digit of x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-40))\/((1449\/(-70))\/(-9)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/531 and -52\/22007.\nAnswer: 198063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.726 - 6.706. What is the fourth biggest value in -1\/5, g, -0.02, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + -1*1. Let t be (-132)\/(-1) + (0 - x). Let a be 47\/(-15) + 3 - (-4018)\/210. What is the highest common divisor of a and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30)\/(18\/(-15)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 - 5*x - 6. Let t be l(-6). What is the highest common factor of t and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-7 + 2) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37214640752.06 - -4\nAnswer: -37214640748.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -247*s**2 - 39*s + 39. Let c(x) = 9*x**2 - 2*x - 4. Let p(n) = 34*n**2 - 10*n - 17. Let v(d) = -9*c(d) + 2*p(d). Calculate -2*g(l) + 39*v(l).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 4202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7807 - -27648. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2833098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:25 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20368, 28275, 36182, 44089, 51996?\n\"Answer: 7907*c + 12461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 286, 369, 456, 547, 642, 741, 844?\n\"Answer: 2*y**2 + 77*y + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = -25. Suppose t*s + 2 = 0, -2650001 = 7*r - 12*r + s. Round r to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -3, 2\/3, 5, -4\/7 in increasing order.\nAnswer: -3, -4\/7, -0.19, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10777479.\nAnswer: 3, 3592493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let t = 0.3723 - -0.0277. Which is the closest to 0.1? (a) -5 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6681 + -3749. What are the prime factors of p?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1612 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 90, -1, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 24435.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 318636702 to the nearest one hundred thousand.\nAnswer: 318600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257267, 257264, 257259, 257252, 257243, 257232?\nAnswer: 257219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (1 - (11 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*z + 3*i - 35, -2*z + i + 14 = 0. What is the remainder when 35 is divided by z\/(14\/(-9))*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 12. Suppose -c = 2*l, -2*p + 3*l = -4 - 3. Is -4\/5 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 + -146. Suppose w - 4 = 0, -m = g*m + w - 3847. Suppose -4*l = 3*y - m, 11*l - 6*l = -4*y + 1601. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -324142?\nAnswer: -324151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796331878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) + 40\/(-45)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -40959, -1\/5, -5 in increasing order.\nAnswer: -40959, -5, -2\/3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:15 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58134192 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 - -178. Is 3 + -3*(-6230)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 3. Let t(p) = -p**2 - 16*p. Let f be t(-16). What is the second smallest value in g, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 - 8*h\/3 = 0. Calculate h.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*b - 3)*(b - 2*b + 0*b) + (4*b - 4*b + b)*(7 - 7 - 4*b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10229629 = 3*m + 46229619, 3*d = -2*m - 24000015. What is m rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -3. Is 99\/8 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382159001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3651 + 3650.6. Which is the nearest to -7? (a) 2\/11 (b) -1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2 + 3 + 0 + l. What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbllbbbbbblbllbblb.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 57. List the prime factors of n(0).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + t**2 - 10.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2693278 by 384754.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -4437 and -3213 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -5 + 42 + -29\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9193*h**3 + 79*h**2 - 7*h - 10666572.\nAnswer: 27579*h**2 + 158*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22061 + 22067 - n**3 + 3*n**3 - 44128.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 15 - 8 + 25*w in the form p*w + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from awwtwhwha.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 6040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 h when three letters picked without replacement from udmcmmhmdhdhm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2928)\/112 - (-1 - 1\/1)) + 1274\/8918\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 159 = 4*b, 3*p + 2*p = -2*b + 87. Suppose 4*x - 28 = 3*r, -5*x + 5*r - 6 = -b. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -37. Let p(o) = -4*o + 62. Calculate the remainder when p(0) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*r + 5, -1 = -r - 2*f - 3. Suppose -2*v - 56322 - 317678 = r. Round v to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1095*h + 621*h - 1327*h + (-2 + 2 + 1)*(-h + 2*h - 3*h) + 2*h - 3*h - h.\nAnswer: 385*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 463000?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55724065654 - 55723520209.00034. Let u = 545454 - t. Let k = 9 - u. What is k rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19900, 39815, 59754, 79711, 99680, 119655, 139630, 159599?\n\"Answer: -c**3 + 18*c**2 + 19868*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1785459 to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/80 and 1\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876403 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r. Let y(g) = -196*g + 2. Let h(j) = 4*p(j) + y(j). Let w be h(-1). Let z = w - 125. Calculate the remainder when z is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from qhqqqhqqqqqqhhhhdh.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 20\/97317 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193\/224 or 1?\nAnswer: 193\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 664 + 93 = -b, 2*x + 1701 = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, -21, -75, -151, -249, -369, -511?\n\"Answer: -11*z**2 + z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9904.91 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -1\/2, 1.4, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 9. Let r(z) be the third derivative of -z**6\/120 + 11*z**5\/60 - z**4\/4 - 5*z**3\/6 - 15*z**2. Let u be r(10). Let i = -43 + u. Give s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 7*y - 7908. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 2*y**3 + 2*y**3 + (y**3 - 1 + 1)*(-3 + 1 - 1) + 2*y**2 - 2*y**2 + 2*y**3 - 1630*y**2 - 55*y**3 + 1630*y**2.\nAnswer: -54*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00295056 to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23351952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, 4.\nAnswer: -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 977 - 734 + 458 - 571 = 0 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - -69.5. Sort -2, 0.4, w, 1 in decreasing order.\nAnswer: w, 1, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -87*x. Let a(y) be the first derivative of -y**2\/2 + 14. Give b(a(h)).\nAnswer: 87*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, b: 10}. What is prob of picking 1 d and 2 b?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2596 - -2578. Let r(s) = -6*s - 97. What is r(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.120348 minutes to seconds.\nAnswer: 427.22088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52a - 0?\nAnswer: 52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*r + 104*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdn when three letters picked without replacement from dynydyznddyyyyznd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b5e + 71b?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*14\/7. Factor -2\/9*z**4 + 0*z + 0*z**f + 0 + 2\/9*z**2.\nAnswer: -2*z**2*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 + 3*j**2 - 9*j - 3. Let n(t) = t**3 + t**2 - 1. Let a(k) = -3*n(k) + w(k). Find the second derivative of a(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -91658, -183310, -274962, -366614, -458266, -549918?\n\"Answer: -91652*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -17807?\nAnswer: -17809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99 + 7*z - 73 + 407*z**3 - 418*z**3 - 61 wrt z?\nAnswer: -33*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12933252 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 33282.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50332 - -30032?\nAnswer: -20300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -4a8697?\nAnswer: -4a8696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13568 is divided by 3385.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 533 (base 15) to base 9\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**0\/j))\/j)**(-28\/11)*j**(-5)*j**(-2\/13)\/j)**(-2\/19) assuming j is positive.\nAnswer: j**(2488\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 27*n - 665. Calculate u(-39).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1972 divide 6039438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18550978, -18550983, -18550988, -18550993, -18550998, -18551003?\nAnswer: -18551008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -859, -53, -25 in ascending order.\nAnswer: -859, -53, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 1. Calculate the lowest common multiple of f(-1) and 90 + (-14 - 2 - -10).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625 is divided by 209.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/30 - 11*p**4\/12 + 80*p**3\/3 + 4*p**2 + 250. Solve j(m) = 0 for m.\nAnswer: -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/8 (b) 0 (c) -294\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 - 548885*b - 709923060 = 0. Calculate b.\nAnswer: -108468, -1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2 + 1054698*u + 20040345 = 0?\nAnswer: -19, 351585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 2*v**2 + v**2)*(v**2 - 5*v**2 + 2*v**2)*(0 + 2*v + 0)*(-32 + 77 - 33).\nAnswer: -144*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u - 29*u + 2*u**4 - 6 - 18*u**3 + 20*u**3 to c*u + o + r*u**3 + a*u**2 + b*u**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 8*w - 18. Let a be x(-10). Let t be (-1)\/((8\/(-6))\/4). Suppose a*u = t + 3. Solve q + u*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.6 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5 - 7 - p + 0*p. Let h be w(-5). Suppose -5*l + h*o = -635, -3*o = -0*o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/20 - o**4\/2 + 11*o**3\/6 - 3*o**2 + 3*o. Calculate the remainder when c(-8) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, 0, -5, -1, 1 in decreasing order.\nAnswer: 1, 0, -1, -5, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/21*(-9)\/(-6). Let n be ((2 - r) + -1)*4. Solve -12 = -4*w + n*w - l, 10 = 3*w + 4*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53779876*h**4 - 113281132.\nAnswer: -215119504*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(17) + sqrt(17) + -2*sqrt(17) - sqrt(17)) + sqrt(17) + -2)*-2*3 + 1)*4)**2.\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 208 = 4*n + 2*b, 0 = 12*n - 111*b + 116*b + 225 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4145370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (19 + (1 - 20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 5 (b) -0.2 (c) 3\/5 (d) -1\/8 (e) 3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -77.\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 = 3*k, 5*k + 4 = 2*s + 19. Suppose 5 = v + k. Solve -u = 5*z + 7, 3 + 0 = z - v*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 - 1642*q**4 - 3306*q**3 + 11482*q**2 + 32896*q + 19752 = 0.\nAnswer: -2, -1, 3, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = 5*q, 0 = 5*q - 3*y - 0*y + 4. Let p(h) = 85*h + 10. Let t be p(q). What is t rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 32 - 8 = 5*z, 0 = -5*l + 3*z + 122. Solve -4*o - 10 = -l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023632667 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 37 - 139) + -5 + 46?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -1.9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*v - 39. Suppose 3*l = v + 48. Suppose 0 = -4*h + 2 + l. Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38463868?\nAnswer: 2, 37, 293, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.1 - -11. Let h = -14.126 - s. Round h to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 - 114*r - 107. Let v be w(-37). Solve z = 3*z + v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y - 3. Let r be (-2 - 0)*y + 2. Suppose 0 - 10 = 5*j. Sort r, j, 5 in decreasing order.\nAnswer: 5, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*b**3 + 218*b**3 - 416*b**3.\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34869\/11 + -3173. Calculate the common denominator of 16\/9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -45. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*b - 158*b + 2063050. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5 + d**2 + 3 + d + 0*d**2. Let x be t(-3). Solve -4*w + 0*u = -x*u - 32, u + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qdtlttttttqqdztlt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3318 + -3368. Which is smaller: t or -148\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727973429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minus 4709?\nAnswer: -4239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -87. Let b be 731\/t + (-1)\/3. Suppose -u = -54 + 14. Solve -2*h = 5*v + 3*h - u, 3*h = -v + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p**2 + 4*p - 5. Let k be t(-3). Suppose j - 5*l = 46 - k, 174 = 4*j + 2*l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000411801 rounded to six dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**2 + 2*y + 3. Let z be s(0). Solve -4*p - z = 4*w - 27, -2*w = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.56 times 0.25?\nAnswer: -30.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1817*p**2 - 892*p**2 - 874*p**2.\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6241846239 + -0.62418. Round w to seven decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7060473 litres to millilitres.\nAnswer: 706.0473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 97.6*0.033\nAnswer: 3.2208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -79*q**3\/3 - 58*q + 61. What is the first derivative of c(t) wrt t?\nAnswer: -158*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -0.301878591633.\nAnswer: -0.001878591633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 55*r - 51. Let d be k(21). Let a = -717 + d. Sort -2, a, 4 in ascending order.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 43645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -445.6796 times -0.5?\nAnswer: 222.8398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 138024610 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 1 = 1. Suppose p - 2*g = -r*g + 6, -4*p + 5*g + 15 = 0. Put p, -3, -2, 1 in descending order.\nAnswer: 1, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 6919?\nAnswer: 76109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.79874 centuries?\nAnswer: 11758.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 185*i - 28 = -188*i, -m = 2*i + 7 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88996363*o*p**4 - 2*o*p + 617018035*o wrt p?\nAnswer: 355985452*o*p**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600*o - 407 + 201 - o**2 + 206 - 431*o**5 wrt o.\nAnswer: -8620*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*c - 4*t + 80, -4*c + 276 = -4*t. Is c a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 14) + -1 - (6 + -3 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*t + 17*t = 18*t - 2760 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 26.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-10206)\/90)\/((-3)\/35) and 882?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + (-3)\/5. Is 53 + (0 - s) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - o + 44 - 16, -5*u = 4*o - 37. Let k(f) = f**3 - 3*f**2 - 6*f - 4. What is the units digit of k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1088)*-2*-1*-3 - (-4*sqrt(1088)*1 + 0))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l - 71*l = -45868. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5555 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8822 + 0.0854.\nAnswer: 6.9676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1123 - -0.1123. Is 73 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*x**3 + 14*x**3 - 4*x**3.\nAnswer: 4*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61750 is divided by 1762?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4125 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2476412 and 1644?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 2112*w**2\/7.\nAnswer: 2*w**2*(w - 1056)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 26 = 4*k + 6, 2*k - 3*p = 15. Suppose k = -4*h - g - g + 406, 201 = 2*h - g. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 1 + 6 + 1 + 5*d. Let m(b) be the third derivative of -b**4\/6 - 2*b**3\/3 - 2*b**2 - 1179*b. Give 7*m(h) + 5*o(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/(-75))\/((-2)\/5). Factor -12*r**2 - 30 - 19*r + 24 + r**2 - 10*r**a - r**4 - 9*r**3.\nAnswer: -(r + 1)**3*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 8703. Let l be 4\/26 + (-189)\/(-39). Let p(f) = 2*f - 17405. Let k(b) = l*t(b) - 3*p(b). Let i be k(0). What is i rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from hhzhhhz.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7899886327\/2508 + 3149875. What is the common denominator of v and -23\/2052?\nAnswer: 22572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32592 by -7.\nAnswer: -4656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n - 20 + 21 + 58*n in the form v + w*n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 22 + 20 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*45\/72?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(216) - sqrt(216)*1))\/sqrt(9))\/(((sqrt(128) - 3*sqrt(128))\/sqrt(4))\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.49 + -26. Let m = w - -0.11. Let i = m - 1.5. Which is the closest to i? (a) 0.5 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(4\/5)*(k\/(k*k**2))**(-7\/9)*((k**(-2\/3))**(13\/2))**(-38) assuming k is positive.\nAnswer: k**(1496\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 4205 + 4019 - 8528 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117486812 to the power of 1\/2, to the nearest integer?\nAnswer: 10839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.86 + 0.14. Which is the closest to 2? (a) 2 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7055\/45)\/(-17) + 6\/27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*c - 365, 3*z - 6*c = -4*c + 218. What is the lowest common multiple of 28 and z?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/611 - -5471\/8554. Let d = 499 + -495. Suppose d*y - 3*p = -12, y + y = 3*p - 12. Is q equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462159 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 - 3*s**2\/2 + 7*s - 1. Let o be u(-5). Let d(i) = i**2 + 2*i - 3. Let a(j) = 2*j**2 + 4*j - 5. Give o*a(h) + 5*d(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 18. Suppose l = x + 9. Let b = l + -12. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5658*m**2 - 49*m + 4718164.\nAnswer: -11316*m - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1075 and 0.4?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53.8 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - 3152\/(-20). Let j = -92 + l. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 877950 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-391\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((720\/8)\/(-30))\/29.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let k(y) be the second derivative of -y**6\/360 - y**3\/6 + y. Let m(s) be the second derivative of k(s). Determine i(m(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29, 3985432.\nAnswer: -2, 29, 3985432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/21 - (-4)\/(-14). Suppose f = -5*y + 1 - 4, 3 = -3*y. Let t be f*(-2)\/(-16)*-2. What is the closest to -1 in t, n, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -274082.2.\nAnswer: -54816.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4908 + 887 + 4559 - 1531 - 1297*p - 6028*p with respect to p.\nAnswer: -7325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/140 and 43\/18320.\nAnswer: 128240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 21*x. Let g(y) = -22*y - 1. Give 2*g(t) + 3*j(t).\nAnswer: 19*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7476 = 63201*m - 63023*m for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.63 - -11.53. Let u = -1193 + 1182.1. Let c = g + u. Are 63 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8582 - -85913\/10. Let f = -111025\/234 + 4238\/9. Find the common denominator of q and f.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:06 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 10*u - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -1\/6, 1\/8, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1713 - -6. Round s to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 103*n**2 - 1097*n - 468. Determine s(-91).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 4, i: 9}. What is prob of sequence rrss?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 12. Solve -12 = -k*x + 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 19 - 17 = 0. Solve -4 + 0 = -y*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.71 - 182210\nAnswer: -182205.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111 + -127?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from llyohqoyhohdldhhooyo.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430620360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 times 1?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u + 4*i - 22 = 0, -3*i + 5 = -5*u. Let t(x) = 9*x**3 - x**2 + x + 1. What is the units digit of t(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*r - 1592 = 21159 + 2925 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oau when three letters picked without replacement from {o: 2, p: 9, j: 4, u: 1, a: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 6*p - 176. Calculate f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/((-1716)\/(-44))*9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5656746*w**3 - 5656783*w**3 + 30*w**2 + 0*w**2.\nAnswer: -37*w**3 + 30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(4\/3)\/r))\/r**(-3\/2))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(450) + -2*sqrt(450)*1)\/(sqrt(10) + -5*(-1*sqrt(10) - sqrt(10)) + sqrt(100)\/(sqrt(30)\/sqrt(3))).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23388864 divided by -31952.\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22732927 is divided by 1045.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5798 take away 6313.926?\nAnswer: -12111.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1634*k**5 + 9*k**4 - 1108*k**3 - 564386553*k**2.\nAnswer: 98040*k**2 + 216*k - 6648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1811\/3 - 43315\/72. What is the common denominator of w and 5\/99?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210001020121 - -21?\nAnswer: -1210001020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 49, 65, 59, 19?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*(n**0\/n)\/n*n*n*n)\/n)\/n)\/n)**(-16)\/(((n\/(n\/n**(2\/7)))\/n)\/n)**(-10\/3))**34 assuming n is positive.\nAnswer: n**(2448\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 579 divided by 1\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.083 in 1, 1\/6, 12, -2, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 + 6*q - 307. Let s be j(10). What is the greatest common factor of 963 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121331100 (base 4) to base 12\nAnswer: -51640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 3795131.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k - 39*k**2 + 13*k - 45*k**5 - 8*k wrt k?\nAnswer: -2700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:28 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3639829*u**3 - 26543*u**2 + 42 wrt u.\nAnswer: 21838974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**8\/4200 + p**7\/2100 + p**6\/900 - p**5\/300 - p**3\/3 - 2*p. Let i(l) be the second derivative of v(l). Factor i(f).\nAnswer: -2*f*(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.92 - 4530.\nAnswer: -4528.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(7\/4))\/((n\/(n**(-1\/9)\/n))\/n) assuming n is positive.\nAnswer: n**(-67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/8 + 137*n**3\/8 - 269*n**2\/8 - 137*n\/8 + 135\/4 = 0. What is n?\nAnswer: -1, 1, 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 26*r**2 - 26*r + 26. Calculate d(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862745.\nAnswer: 5, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 315*c + 956. Let s be z(3). Solve 0 = s*w + 4*h - 24, -8*w + 4*h = -9*w + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31549*i - 119 + 31549*i + 4*i**2 + (-3*i + 3*i - 2*i)*(-3*i + i + i) in the form m + z*i + p*i**2 and give m.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35676?\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9026*j**2*p**2 - 3*j**2 + 2*j*p**2 + 2*j + 3*p**2 - 694*p wrt j.\nAnswer: 18052*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*z)*(-9*z - 55 + 55).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117754, 117752, 117750?\n\"Answer: -2*u + 117756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1704, -7909, -18252, -32733?\n\"Answer: -2069*g**2 + 2*g + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6)*2)\/(-4*sqrt(9)\/sqrt(3))*-4 + -2)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, b: 1, z: 2, x: 2}. Give prob of picking 1 b, 1 k, and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -10002100121?\nAnswer: -10002100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37380, 37389, 37412, 37455, 37524?\nAnswer: 37625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 2*y**2 + 2*y - 3. Let i = -15 + 15. Let j = 3 - i. Give l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.222 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.0477cm in meters?\nAnswer: 1.650477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121 (base 7) to base 3.\nAnswer: -10212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s**2 + 22*s**2 - 33*s**2.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 12*h + 5*d - 27, 4*h + 2*d = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 90 = -6*p. Suppose -p = t - 125. Suppose 281 = 3*i + t. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.754 + -0.446. Let i = f + 76.2. Let w = 105\/2 + -54. What is the fourth biggest value in i, 0.1, w, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99543\/44 - -2264. Calculate the common denominator of p and -65\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 75 = -36*r. Let d(v) = 5*v + 7. Let t be d(3). Let l = r - t. What is the lowest common multiple of l and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252936*k**2 + k + 291625 wrt k.\nAnswer: 505872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379692 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -28*(-100 - -96)*(2 + (-15)\/8). Solve -2*m - 4*h + 16 = 0, 18*m - l*m = h - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*i**3*j**3 - 57437*i**3*j**2 - 121*i**2*j**3 + 261*i**2 - 2*i*j**3 + j**2 wrt i.\nAnswer: 306*j**3 - 344622*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 47. Factor 7*x**4 + 3*x**a + 3*x**4 - 6*x**5 - 7*x**3.\nAnswer: -2*x**3*(x - 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 9075*g**5 - 46035*g**4 - 69288*g**3 + 440820*g**2 - 31776*g + 576 = 0.\nAnswer: -3, 2\/55, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.617612414 to three decimal places.\nAnswer: 1.618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let b be ((-45)\/27)\/(5\/(-6)). Let j be b + 13 + (-11 - -6). Let w(z) = j*z + 15*z - 17*z. Calculate k(w(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-35) - (3 - -1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*n + 3*v, -3*n - 7 = -0*v - 5*v. Let u = -2 - n. Let y(a) = a**2 + 6*a - 6. Let s be y(-7). Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-6\/7)*w)**12)**(-2\/21))**(19\/3))**28 assuming w is positive.\nAnswer: w**(-608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(0 + 132). Let c = p - 40. Calculate the remainder when c is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256579 (base 11) to base 16\nAnswer: -62a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/5 - 72*z**4\/5 + 412*z**3\/5 + 72*z**2\/5 - 82*z = 0.\nAnswer: -41, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.091886 to 4 dps.\nAnswer: 0.0919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3881, -3880, -3879?\n\"Answer: r - 3882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 524, 526, 528, 530, 532?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8766 and -11.\nAnswer: -11.8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180841573?\nAnswer: 11, 109, 150827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.3 - 27.3. Which is the closest to -1\/4? (a) 0.052 (b) 2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**2 - 13 - 10*l**2 - 12 + 25.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 - 504*x + 507 = 0. Calculate x.\nAnswer: -169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1107042, 1107047, 1107054, 1107063, 1107074, 1107087?\n\"Answer: a**2 + 2*a + 1107039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 102327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*v**3 + 103*v**3 - 205*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 6*x. Let u be z(4). Solve 0 = -5*h - 2*i - 19, -h = 3*i - u*i + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420) - (sqrt(420) - (1*sqrt(420) + sqrt(420)))*-5 - sqrt(420) - sqrt(420))\/sqrt(10))\/(-2*sqrt(6)*-1 - sqrt(72)\/(sqrt(36)\/sqrt(3))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.2354 - -0.2354. Let o = -48.5060185528 + 0.5060184408. Let u = o - a. Round u to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 9*z. Suppose z*j + j = 20. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/162)\/(49\/(-882))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-16)\/10 + -2. Let o = -0.23 - -0.13. Put x, -1, o in descending order.\nAnswer: o, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 0*w = 2964. Suppose 156 = d - 3*b, -2*b + w = 3*d - 166. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -12*t + 70. Which is greater: t or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*d**0)\/(d**(-3\/7)\/d**(-5)) assuming d is positive.\nAnswer: d**(-181\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1788 = 5*t - 12128. Suppose 3*h = -16468 + t. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11.1. Let n be 9\/(-60) + 4\/10. Which is the biggest value? (a) n (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*w - 109*w + 38*w to the form v + g*w and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*d - 3426, -2*s - 921 + 3663 = 4*d. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/15 - -7\/5. Let x = 3904 - 3903.7. Which is the closest to -1\/2? (a) x (b) 2.6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*s - 5, 31 = -3*s - h + 30. Sort 6, s, -9, -3 in descending order.\nAnswer: 6, s, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-9))\/(532\/(-36) - -15). Solve -1 = 5*c - 3*d + 15, o*c + 5*d + 35 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.101 - -3.759. Let q = u + -61.56. Round q to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3245998 and 6916.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -67394 - 257758. What is g rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.94. Let s = t + 6. What is the smallest value in -0.1, s, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6658852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90779*o**2*y**2 - o*y - 2*o - 10571*y**2 - 2 wrt o?\nAnswer: -181558*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/15 - 3*m**2. Let k(i) be the first derivative of i**2 + 2. Determine y(k(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 13*r**2 + 792*r - 8946. Give a(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-5*-2*sqrt(315) + sqrt(315) - sqrt(315)))\/(sqrt(567)*1*5))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/28611 and -35\/6.\nAnswer: 57222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140798 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -351, 2\/7, 1.4, -7, -4 in decreasing order.\nAnswer: 3, 1.4, 2\/7, -4, -7, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -19*o**2 - 107*o + 52. Calculate d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -433.5 - 3.842\nAnswer: -437.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 3*k)*(0 + 1 - 2)*(-2*k**3 - k**3 + 2*k**3).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2552 and 55187.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:04 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 2 + (-11 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 308 - 82 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*h = 5, -1067*h = 2*k - 1064*h + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t. Let i(v) = -v + 1. Let u(j) = -3*i(j) + s(j). Let m(b) = b + 2. Let h be ((-22)\/8 + 2)*12. Let d = 15 + h. What is d*u(a) + 10*m(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w + 7 = -5*d, 4*d + 44 = 4*w. Suppose 5*l - 1830 = -w*s + 3*s, 5*l - 3050 = -5*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -18255\nAnswer: 1825.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 3*f + 1 - 2*f**2 + 0*f + 5*f**2 in the form v*f + n*f**2 + w and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.734 - 192.526. What is f rounded to zero decimal places?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 6 + (-3 + 0 + 2)*(-6 + 0 + 4) + 0 - 1 + 2)*(751 - 16*o - 751) to the form d + i*o and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 9. Let d = u + 14. Let v(i) = 8*i**2 - 11*i. Let w(x) = -40*x**2 + 56*x. Let p(j) = d*v(j) + 2*w(j). What is the second derivative of p(t) wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:51 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14360250 is divided by 219?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -237063.087 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(2\/19)*j**(2\/19)\/(j\/(j**(1\/17)*j)))**(-14\/11) assuming j is positive.\nAnswer: j**(-1218\/3553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 50039360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10332433.02 and 0.1.\nAnswer: -1033243.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q**2 + q - 3. Let d(f) = -19*f**2 + f - 4. Let v(n) = -5*d(n) + 8*w(n). Let t be v(2). Put 0, t, -6 in increasing order.\nAnswer: -6, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 0*m - 3*m)*(5 - 3 + 4) - m - 2*m + 5*m + (0 + 3 - 1)*(-3*m - 4*m + 0*m) + 3*m - 4*m + 2*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 48. Suppose 2*g = 3*f + 193 + 77, -j*f - 138 = -g. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6764 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*i**2 + 9*i**2 - 8 + 8 to o*i + z*i**2 + x and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b = 5*z - 111, 0 = 3*b - z + 134. Suppose -10*x + 1987 + 1223 = 0. Let n = 278 - x. Is n at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:15 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*q, j - 4*q - 19 = 21. Suppose 5*w + 3*g - 9 = 0, -3*g - 14 = -4*w - 2*g. Solve 8*t - w*t = -j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n - 2\/13*n**2 - 200\/13.\nAnswer: -2*(n - 50)*(n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -11*p**2\/2 + p - 56. Give v(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 4. Calculate the remainder when k(-6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 697594 (base 13) to base 3\nAnswer: 11201001221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54551, -218177, -490879, -872651, -1363487, -1963381, -2672327, -3490319?\nAnswer: -4417351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = -15. Let v(y) = -2*y**2 + 14*y + 2. Let t = -13 - -20. Let o be v(t). Sort -4, o, g in increasing order.\nAnswer: -4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -6. Suppose 3*o - 8 = 4. Solve 0 = i - g - 8, s*g - o*g = -i - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 213, 403, 567, 693, 769, 783, 723, 577?\n\"Answer: -2*i**3 - i**2 + 207*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 546\/(-10)*1020\/3672?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3573 + -2199. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3653 * -0.1\nAnswer: -365.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175166, -350308, -525396, -700430?\nAnswer: -875410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**5 + 4*r**3 + 6*r**2 - 9*r + 2. Let i(a) = 2*a**5 + a**4 - 4*a**3 - 5*a**2 + 8*a - 2. Let j(t) = -4*i(t) - 3*y(t). Find l such that j(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463 = -11*a + 1518 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 56*h + 34. Is c(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f + 3*f**3)*((0 - 1 - 1)*(1 - 6 - 4) - 3 + 4 + 2 + 1 + 2 - 5) as a + u*f**2 + t*f + l*f**3 and give l.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:30 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2. Let i(o) be the third derivative of o**4 - 4*o**3 + 4*o**3 + 0*o**3 - 8*o**2. What is a(i(v))?\nAnswer: 576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.97 + 5.2. Let q = 0.53 - m. Let f be (-2)\/(-5)*(-2)\/(-4). Which is the nearest to 2? (a) q (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, e: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4240 is divided by 302.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-550*s + 29*s**2 + 550*s)*(2*s - 4 + 4)*(0*s - 2*s + 0*s).\nAnswer: -116*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugfhuwwt. Give prob of sequence ft.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 0.0034, 4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/12 + (-1)\/(-4). Solve a*s + 9 + 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8249790 and -8249796 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1154015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12754 is divided by 63?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 26*g**2 + 345*g - 1423. What is o(6)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23720771?\nAnswer: 907, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/216*3\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 - 10*t**2 - 4*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38571?\nAnswer: 3, 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*d**2 + 30*b**2*d - b*d**2 + 200*b*d wrt b.\nAnswer: 2*d**2 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3031123 (base 4) to base 8\nAnswer: -31533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1\/4))\/f**(1\/8))\/(f\/(f*f\/(f\/(f*(f*f*f**(-1\/4))\/f)))*f**5\/f*f))**(-6) assuming f is positive.\nAnswer: f**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69227 + -69219. Let h(k) = -2*k**2 - 5*k - 2. Let v be h(-5). Let g = v + 55. What is the remainder when g is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16777.19984 - -16776. Let r = z - -1.2. Round r to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45\/976879 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1711414*c**2*i**3*v + 4*c**2*i*v + 169*c**2 + 128*c + 19*i**3 + 2*i with respect to v.\nAnswer: 1711414*c**2*i**3 + 4*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 6*i - 2 - 1\/3*i**3 + 0*i**2. Is 6 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 355 + -353. Let y be 0\/(2 + 0*a\/(-8)). Is y not equal to 9\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*w - 38, 72*w - 76*w - 5*q = -89 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -426518 divided by -5?\nAnswer: 426518\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1409.85 + -1124.495. Let g = 286 - o. What is g rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*n - 7*c - 42, -2*c + 48 = 2*n. Let o = n + -37. Sort -3, -4, o in increasing order.\nAnswer: o, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 67, -3\/4, -5, 0.2, 16 in decreasing order.\nAnswer: 67, 16, 0.2, -3\/4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17392*g + 2 - 17376*g + 34755*g.\nAnswer: -13*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 1, s: 1, j: 1, i: 1}. What is prob of sequence jt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-25) - 4\/(-5). What is the third biggest value in 1, -5\/3, d?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3475583 or -3475582?\nAnswer: -3475582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + 1 + -4 + sqrt(112) + (6*-1*sqrt(847) + 2)**2.\nAnswer: -249*sqrt(7) + 30493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -b, 5*b - 19 = -f - 0. Suppose 2*x + 2*o = -0*x, -2*x + b*o = -24. Solve -2*w + v - 1 = 0, 4 = x*w + 4*v - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12d5e6 (base 15) to base 5\nAnswer: 212441331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 35*l - 6. Let r(h) = -h - 1. Give -4*r(x) + s(x).\nAnswer: 39*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -u + 20, -w + 5 + 41 = 3*u. Calculate the lowest common multiple of ((-300)\/(-210))\/(11\/385) and u.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 52*q + 4.\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 6*l - 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/5)*t)**(1\/50)*(t\/(t**(-3)*t))**20 assuming t is positive.\nAnswer: t**(15011\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8385 - -8384.7. Let s be (-3)\/9*93\/(-63). Let j = -5\/7 + s. What is the nearest to j in a, 0, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 0.430551689875\nAnswer: 16.430551689875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5*v + 51*f**5 + 2*f**3*v - 5*f**2*v + 55*f**2 wrt f?\nAnswer: -60*f**2*v + 3060*f**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000596302 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20456910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3690*n + 12*n**2 - 3690*n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129495 and 4272?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let f(q) be the third derivative of 61*q**4\/8 + 953*q**2. Calculate f(l(w)).\nAnswer: -183*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1)\/(sqrt(16)\/sqrt(16)) + 2.\nAnswer: -12*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*t - 41 = 0, 138*g - 38 = t - 232 - 75 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 312551, 625036, 937521, 1250006, 1562491, 1874976?\n\"Answer: 312485*k + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j - 1. Let a(n) = 2*n - 6. Suppose 5 = i - 6*i. Let f be a(i). Calculate c(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:50 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-1)\/((-22)\/(-20)*(-8)\/44).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 28 = 3*k - z, 4*k = 3*z + 34. Suppose 0 = 5*b - 10*b + k. Suppose -b*n + 140 + 282 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {d: 5, l: 15}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3128+-568\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21870, -22460, -23060, -23676, -24314, -24980?\nAnswer: -25680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2) + -3 + 10. Let d = -13 + 8. Let u = t + d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 16. Suppose 3*a - 31 - 59 = 0. Let q be a\/(-4)*(-4)\/6. Let j be b(q). Solve c + j = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4532 is divided by (-664)\/(-26)*59 + 39\/169.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.072 (b) -15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 5)\/(3\/38). Let m be i\/9 - (-10)\/(-45). Suppose -y - 21 = -m*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2532 = -30*m + 32*m, i - 516 = -2*m. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = 2*p, 3*p - 2 = 5*z + 3. Solve 4*j - 14 = -4*x + p, 5*x - 21 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, t: 1, y: 2, r: 9}. Give prob of picking 2 o and 1 y.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(40) + -3)*5)**2*2.\nAnswer: -150*sqrt(11) + 1175\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62, 14 in ascending order.\nAnswer: -3, 14, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17 from 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 - 148 + 75 - 10*n**2 + 72 - 3*n**3 as m*n**2 + a + s*n + w*n**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**4 + 4*w**3 - 64*w**2 + 20*w + 84. Let v(n) = n**3 + n**2 - n - 1. Let i(c) = h(c) + 4*v(c). Let i(y) = 0. What is y?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317174 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -65, -3, -36.\nAnswer: -65, -36, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 9. Let l be f(-6). Suppose 5*s = 11 - 1. Let o(m) = 8*m - 16. Let i be o(s). Solve 0*q + l*q + 12 = i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 4:03 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 6. Suppose r*z - z + 98 = 5*i, 4*i = -z - 116. Let d = z + 253. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17021, -34040, -51055, -68066?\n\"Answer: 2*p**2 - 17025*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:13 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -81. Let o(n) = -2*n + p*n - n + 0*n. Let j(z) = -4 + 4 + z**2. Determine o(j(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -247?\nAnswer: -3\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 7*w**2 + 4*w + 3. Let g be n(-7). Let l be (-110)\/g + 4\/(-10). Suppose -5 - l = -3*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 25, -2*b - 3*m = -261. What is the units digit of 332\/6 + 205\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9527915*k**2 + 47292*k + 4.\nAnswer: -19055830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003527485094 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 32713440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x**2 - 30*x - 24. Let z(m) = 7*m**2 + 29*m + 23. Let w(d) = -5*c(d) - 6*z(d). What is w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -644, -2555, -5732, -10175, -15884, -22859, -31100?\n\"Answer: -633*s**2 - 12*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00144829081 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 23 - 65 = 0. Find the third derivative of -z*p**5 + 52*p**2 - 3*p**5 - 2*p**5 - 3*p - 54*p**2 wrt p.\nAnswer: -2820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 take away 5293549?\nAnswer: -5293548.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 73363317.7 and -48.9.\nAnswer: 73363268.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -2.4. Which is the closest to 0? (a) -3\/5 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303 + -281. Calculate the greatest common factor of 176 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 148, 11 in descending order.\nAnswer: 148, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*4)\/((sqrt(45)*2)\/sqrt(9)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 471183*g**3 + 14*g**2 + 21817*g wrt g?\nAnswer: 2827098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4340 and 13140.\nAnswer: 2851380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z - 3)*(-z - 5*z + 4*z) + 1 + 2*z**2 - 1 + z**2 + 0*z**2 - 3*z**2 - 22*z - 15 + z**2 + 45*z - 27*z.\nAnswer: 3*z**2 - 4*z - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58753, -118382, -178891, -240280, -302549, -365698?\n\"Answer: -440*q**2 - 58309*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34319, 34318, 34317, 34316, 34315, 34314?\nAnswer: 34313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28692 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a century in years?\nAnswer: 3850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x - 5*p, 0*x + 4*p = -x - 5. Suppose -c = -0*c. Sort x, c, 5.\nAnswer: c, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f. Let a(o) = -o. Let n(w) = 10*a(w) + 5*h(w). Let i(j) = -23*j. Calculate n(i(b)).\nAnswer: -115*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153) - (2 + (sqrt(153)*-5 - sqrt(153))) - (-2*sqrt(153) + -2))**2.\nAnswer: 12392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111437041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*1\/6)\/(20\/4140) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Suppose 0*w + w - p*j = -2, 6 = -3*w + 4*j. Let x(o) = 4*o + 1. Determine x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1153 - -1118) + 0 + 73?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*b - 9 = 0, 0*b + 3 = m - 3*b. Find h, given that -93*h**5 + 189*h**5 - 92*h**5 - 24 + 52*h - 24*h**m + 8*h**4 - 16*h**2 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00470604565 to four decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2 and 43\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -21. Let d(u) = 4*u - 3. Let v be 44\/4 + (0 - 1). Let q = -13 + v. Let g(p) = -9*p + 7. Give q*g(w) + z*d(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -45, -83, -123, -159, -185, -195, -183?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - b)*(5 + 2 - 1).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30485913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1200, -5484, -12170, -18858?\nAnswer: -25548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**2*r**3 - 18*a**2*r + 2*r**4 - 13*r**2 wrt r?\nAnswer: -36*a**2*r + 24*r**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:57 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by 12412\nAnswer: 423\/12412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2.344.\nAnswer: 0.2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)*m*m\/m**(-1\/5))**(-24)\/(((m\/m**9*m)\/(m**2*m))\/(m\/(m**2*m)*m**(4\/3))) assuming m is positive.\nAnswer: m**(-1132\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -10. Let p = -2.5 - -2.3. Sort p, 0.5, d in ascending order.\nAnswer: p, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let o(n) = -13*n**2. Let i = 12 - 21. Let s(g) be the second derivative of g**4\/4 + 10*g. Let v(z) = i*s(z) - 2*o(z). Give v(d(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -g + 4*r - 0*r, 5*g - 24 = -3*r. Solve -5*c = -g*o + 15, 0*o + 3*o - 15 = 2*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*c = 171*c - 2045 + 2490 + 4685 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99576?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*q, n + 8*q - 6 = 3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 41. Let n be v(17). Let i be n*20\/(-5) - 4. Let z = i + 44. Solve -m - 2 + 5 = z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed435 + 46?\nAnswer: ed47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2 + 8*t - 9. Let g(m) = -23 + 19 + 3*m - 4*m**2 + m. Let h(v) = 4*d(v) - 9*g(v). Factor h(x).\nAnswer: 4*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2\/3*f**3 + 2\/3*f + 0 - 2\/3*f**2 + 2\/3*f**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6878694 and -0.1.\nAnswer: -6878694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -51*b**5\/10 - b**4\/3 + b**3\/2 + 60*b. Find the third derivative of r(k) wrt k.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 2. Let b = -18 + 20. Let y be (0 + 5)*b\/5. Calculate l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 divided by -3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 6*f + f = 5, -1686*c - 26 = -1684*c + 6*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 142, 149, 158, 169, 182, 197?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {q: 1, l: 1, u: 4, a: 4, m: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 0)\/((-8)\/(-6)). Suppose -4 = y + v - k*v, 3*y + 4*v = 8. Solve 0 = 4*r, 3*r = -2*o - 4 - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14006522.\nAnswer: 2, 53, 132137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 6. Let k be b(10). Let g be k*(-6)\/15 + 0. Let w be ((-4)\/(-12))\/(65\/(-15) + 4). Is g < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173376 a multiple of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3496518236.\nAnswer: 2, 23, 1543, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41936, 167613, 377074, 670319, 1047348?\nAnswer: 1508161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249618459.\nAnswer: 41, 30478499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15537 - 7727. Round u to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3643.\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2276 and 157.\nAnswer: -357332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.65 + 3. Let w = 0.44 + r. Let k = -0.20999948 - w. Round k to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4557 and 625611.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -839753 - -840198. Suppose -2*m - 712 = -2*r, r - 2*m + 5*m = 356. What is the greatest common factor of r and k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*42\/36. Let z = -2 + y. Let w = -4 + 4. Which is the nearest to 0? (a) -2\/3 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5205313 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g. Let t(c) = -2*c. Let s(i) = -3*n(i) - 5*t(i). Let y be (0 - (-4 - -1)) + -1. Let v(o) = -3*o**2 + 0 + 0*o**y + 0. Calculate v(s(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/8)\/(u*u\/(u\/u**(6\/11))))\/(((u**1*u)\/u)\/(u\/u**25)))**9 assuming u is positive.\nAnswer: u**(-21321\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83 - 20*u**2 + 2*u**4 + 39*u**2 - 34 - 20*u**2 to the form p*u + d*u**2 + v*u**4 + c*u**3 + k and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from llglglglllllhlfbgl?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859155 is divided by 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {s: 2, o: 9, v: 6}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 119. What is the greatest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -2 + (-17 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6732597155 to three decimal places.\nAnswer: -0.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -418*d + 130399 - 102811 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14*r + 10. Let k be w(-17). Let f be (4\/1)\/(6\/347). Let g = k + f. Is g < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2431 - -21845\/9. Calculate the common denominator of p and -36\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 1, d: 1, u: 1, e: 1}. What is prob of sequence ued?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2376779, 2376776, 2376785, 2376812, 2376863, 2376944, 2377061?\n\"Answer: q**3 - 10*q + 2376788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30600 and 22032.\nAnswer: 550800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -30. Let o = 56 - r. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25330593 and 54.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 3*r + 3*r**2 - 3*r.\nAnswer: 3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -116?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00099403 - -0.4.\nAnswer: 0.39900597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p + 36 + 27*p - 9.\nAnswer: -2*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*f + 206*f + 413 + 208*f - 631*f)*(0 + 0 + 2*f).\nAnswer: -6*f**2 + 826*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o = 48*o - 7 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000435189 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 19 - 29 = 0. Calculate the remainder when (-20)\/p*(-168)\/(-8) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -224, -488, -854, -1322, -1892?\nAnswer: -2564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -5.8. Which is the closest to 2\/7? (a) g (b) 2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a*(a*a*a**(-2\/9))\/a)**(-3\/31)*((a**(-1\/2)*a)\/(a**1\/a))\/((a**(-1\/5)\/a)\/(a*a\/(a\/(a**(-1\/8)*a)*a*a)*a)) assuming a is positive.\nAnswer: a**(10379\/3720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = 0, 7*b - 3*b + 272 = 4*q. Let p = 96 + b. Calculate the highest common factor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 7*i - 15. Let v be -3 - ((-1)\/(-1) + -2). Let y be 2 + (2 - v)\/2. Sort i, -2, y in increasing order.\nAnswer: i, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) 0.3 (b) -6.3 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/30 + 13\/3. Let b be (14\/35)\/(z\/((-50)\/4)). Is b less than -2\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -741\/5 or -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24, 0.2, 0.5, 0.1, 15, 371 in descending order.\nAnswer: 371, 24, 15, 3, 0.5, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97200 and 98542575?\nAnswer: 6075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9943*y + 71 = 9942*y + 5*v, -64 = -y - 4*v. Let d(x) be the second derivative of -x**4\/12 - x**3\/3 + 2*x**2 + x. What is d(y)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)*27\/9. Suppose 4*i + z*p - 37 = -2*p, -68 = -5*i + p. Calculate the remainder when 22 - (-4 + (-2 - -5))*0 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (2 - -1) - -3. Let n be (-3)\/(-2)*g - 3. Solve 4 = n*d - 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 18 = 14*u. Suppose u*s + 13*x = 8*x + 41, 12 = -4*x. Solve -12*o - 10 = -s*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o + 2. Is 1\/16 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 12.7. Let l = z - 3.7. Let o = -1.35 - -0.35. Put o, 0, l in increasing order.\nAnswer: l, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101619 = -489*i - 780*i - 344*i for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(891) + 4 - 2*(-5 + sqrt(891)).\nAnswer: -9*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89799\/22652*14\/(-6)?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 + 10*f - 8. Suppose -6*l + 21 = -27. Calculate k(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0428 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 610 = 682 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Solve i = -4*y - 10 - 4, 3*i + 15 = -r*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*s - 10063 = 8063. Calculate the highest common divisor of 32262 and s.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45380 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhhhhchthhhhtthttc. What is prob of picking 4 h?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 + 2*a. Let d(j) = -j**2 - 9*j - 5. Let w be d(-7). Suppose -w = 3*y - 4*t, 6*y - y - 5*t = -15. Give b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -2*o - 121. Let w be (-4)\/22 - (-2)\/o. Suppose 3*v = -2*b - v + 14, -3*b + 3*v - 15 = 0. Is w < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -29*v**2. Let g(w) = -4 + 7 - w**2 - 3. Determine f(g(i)).\nAnswer: -29*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001315 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1720\/14)\/(-4) - 2\/7. Let n = 120 + i. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:32 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**3 + 24*k**2 - 312*k - 4. What is the ten thousands digit of u(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*y + 4, 9*y - 4*y - 10 = -2*b. Suppose -241 = -m - 5*n, 0*m + 3*n = -y*m + 496. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248013 and 1377.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*q**3 - 4\/9*q**2 - 2\/9*q + 0.\nAnswer: -2*q*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 3. What is w(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 22*n - 153. Let u be s(7). Let t(z) = z - 1. Let q(l) be the second derivative of -4*l**3\/3 + 5*l**2\/2 + 2*l. Calculate u*q(k) + 6*t(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 228*f + 454. Give u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/17? (a) -0.09 (b) -1\/3 (c) 6 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16 + (-181)\/(-24))\/(4\/(-12)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pplpppyttlyp. What is prob of picking 1 p, 1 l, and 1 y?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18539, 18576, 18669, 18848, 19143?\n\"Answer: 5*j**3 - 2*j**2 + 8*j + 18528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 - 46*x**2 - 47*x**2)*(2*x - 2*x - 2*x + x + 0*x + x + (-x - 2 + 2)*(-1 + 5 - 2) + x + 1 - 1 + x + x - 3*x).\nAnswer: 202*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2356203786 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7003035 is divided by 955.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*r + 9 = r, -4*b = 5*r + 23. What is the lowest common multiple of ((-1)\/3)\/(b\/12) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, o: 1}. Give prob of sequence oc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(4\/(-3)) + 1. Let h be (-7 + l)*(-2)\/2. Solve 0 = -5*x - 6*g + h*g + 2, -4*x - 1 = 5*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 3*f**2 + f + 9. Determine h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1*sqrt(11))*2*3*-5*5.\nAnswer: -300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.987 - -0.013. Let u = -0.3807 - -3.3807. Sort a, u, 1\/7 in decreasing order.\nAnswer: a, u, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-21)\/6)*-6. Let h(g) = -g**3 - 3*g**2 - 2*g. Let k be h(v). Calculate the common denominator of 115\/6 and -4 + k - (-69)\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - q + 20 = 0, 20 = 4*a - q - 3*q. Suppose a - 21 = -l. Calculate the highest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d**3*x**3 - d**3 + 2151*d**2 + 235242*x**4 + 409 wrt x?\nAnswer: -15*d**3*x**2 + 940968*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 489*m - 489*m + 16*m**2. Let i(r) = -2*r. Calculate d(i(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18871518 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*s - 28*s - 40*s - 110 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4686 and 1045572.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 18 = 2*g - 4*p, -5*p - 75 = -5*g. Suppose -5*a + 61 = -3*t, a - 12 = -3*t + g. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 18*q + 159. Determine c(10).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-4) - 3)*6. Suppose -g - y*g = -24. Let c(v) = g*v - v**2 + 2*v - 3*v + v**3 + 7*v**2 + 2. Determine c(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 527\/11. Let z = 4\/1759 + 166797\/135443. Let j = b - z. Which is smaller: 0.4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 4, 2, 0, 5, 99, -1.\nAnswer: -50, -1, 0, 2, 4, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0*k**2 + 0*k**2)*((2*k**2 - 2*k**2 - 2*k**2)*(24 - 2*k - 24) + 22*k**3 + 30*k**3 - 18*k**3).\nAnswer: 114*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59150341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4 - 624*j**3 - 109512*j**2 - 10588. Factor s(y).\nAnswer: -4*y*(y + 234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11103 + -11102. What is the closest to u in -55, 19, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41159.8*11.\nAnswer: -452757.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/(z*z*z**(2\/37)\/z*z))**(-22)*(z**(1\/5)*z)**(-42)\/((z\/z**(-8))\/(z\/(z\/(z\/z**5)*z*z*z))) assuming z is positive.\nAnswer: z**(-5813\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 3142551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 19*f - 189. Determine i(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 2*k**2)*(73 - 73 - 123*k + 4*k + 0*k - 5*k + (2*k + 1 - 1)*(3 + 1 - 5) + 3 - 3 + k + 3*k - 5*k + k).\nAnswer: 252*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {b: 2, i: 2, u: 1, k: 1, c: 1, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -5*y**4\/12 - 255*y**3\/2 - 380*y**2 + 2*y - 346. Factor q(g).\nAnswer: -5*(g + 1)*(g + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -26, -22, 0, 46?\n\"Answer: w**3 - 15*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8733*c - 597*c + 1700*c + 7854*c - 2656*c as q + b*c and give b.\nAnswer: 15034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/(-8)*(-124)\/434?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16930566, 33861094, 50791622, 67722150, 84652678?\n\"Answer: 16930528*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403194 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101761 - 14962. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1198.889l?\nAnswer: 1198889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (sqrt(325) - (sqrt(325)*1 + -1)) + sqrt(325))**2 + 3.\nAnswer: 20*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559393 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: Which is greater: -171\/17 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2091.73 - 2093. Which is bigger: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 13*m**2 - 126*m + 1631. What is t(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -13 (c) 0.142 (d) -2\/21 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 6 - 18 = -n, 0 = q + 5*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*i - 8, 0 = -y + 4*i - 2. Find m such that 4*m**3 - 6*m**2 - y*m**4 + 6*m**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -864\/7 + 48\/7*b - 2\/21*b**2 = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let j = 253.924 - 263.924. Which is the biggest value? (a) -2\/17 (b) j (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65689328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7038, -7850, -10002, -14148, -20942?\n\"Answer: -109*b**3 - 16*b**2 - b - 6912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2. Let v(n) = n**2 - 8*n + 6. Let p be v(10). Let l(j) = -2*j + 26 - p. What is g(l(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 + 290*m - 435. Give d(71).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -42*b - 1\/4*b**4 + 31\/2*b**3 + 0 + 48*b**2. Factor y(k).\nAnswer: -3*(k - 32)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6533046.\nAnswer: 2, 3, 13, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/24 - a**3\/3 - 3*a**2\/4 - 61*a + 8. Let y(v) be the first derivative of c(v). Let y(q) = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -822?\nAnswer: -164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 96 = -3*m. Suppose -32 = -5*y + y. Calculate the remainder when m is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*m**3 + 9699*m**2 - 9699*m**2 + (3*m**3 - 6*m**3 + 2*m**3)*(1 + 0 + 1).\nAnswer: 102*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.98 - -0.9. Let p = i - 1.1. Let c = p + -0.23. What is c rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-3) - (-6)\/9. Let f be 2\/(-1)*10\/a. Let v = 8 + f. Calculate the highest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9*w + 4. Let q be h(9). Suppose 0 = -3*d - 5*s - 11, 5*d + 4*s = -4 + 3. Let 8*l**3 + 7*l + 14*l**2 - 8*l**q - 6*l + d*l = 0. Calculate l.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - -158.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 146\/3. What is the second smallest value in 0.1, g, -1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, g: 2, j: 1}. What is prob of picking 1 j and 1 t?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907184551?\nAnswer: 7, 13, 103, 96787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69306 divided by -1.\nAnswer: -69306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1268 by -317.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -2. Let p = n - -12. What is the second smallest value in -3, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -32*u + 23. Let n be k(-15). Suppose -3*m + 253 = z, -2*z + n = 4*m - m. Calculate the greatest common factor of z and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46.1, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10) + 662898280\/100. Suppose h + 2*h = 38786949. Let u = h - r. Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 2 (c) -117 (d) 3\/4 (e) -2\/123 (f) -10 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29451 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 373009373 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Suppose -10 = l - 3*m, -l = 4*m - 0*m - 18. Let f(q) = -59*q**2 - 62*q**l + 130*q**2. Let n(v) = 3*v**2. Determine f(n(a)).\nAnswer: 81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 2*j - 53*j - 1602 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0*y + 3. Suppose -7*w + 30 = -33. Solve y*h + w = -4*f + 5*f, 5*h + 17 = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1900) + 3 - sqrt(152)\/(3*sqrt(8))))**2 - (4*-3*sqrt(171) - (3 + -2*sqrt(171))).\nAnswer: 148*sqrt(19)\/3 + 16015\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16981*t + 16335*t + 8429*t - 3627*t + 1527*t)*(t**2 + 0*t + 0*t).\nAnswer: 39645*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.1, 55, 2\/15, 0.049, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f**(-3\/5)*f)))**(-2\/95)\/(f**(3\/4)*f**(-1\/11)\/f) assuming f is positive.\nAnswer: f**(6509\/20900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + j = 0. Let k be -1 + j + 12\/28. Which is the smallest value? (a) 6\/5 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218.9911 + 219. Round v to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d + 6. Let z(u) = 9*u + 7. Let s(l) = 6*f(l) - 7*z(l). Let h be s(-6). Suppose -4*g + 5*m = -h*g + 131, 2*m = -2*g + 262. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 - 2*h - 99 = 0. What is h?\nAnswer: -9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3576, 782, 12712, 36000, 74432?\nAnswer: 131794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.033 * -3.\nAnswer: 6.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-6))\/(6\/(-171)). Suppose -w - 380 = -5*c, 0*w + 4*w - 97 = -c. Suppose -71*r + c*r = 108. Which is bigger: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(465\/(-124)))\/18?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 37*m + 40 = 0. Suppose 2*r - 10 = -2*f, 0 = m*r + 6*f - 9*f - 17. Solve z = -5*i - 18 + 3, r*z + 14 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (8 + -4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54733.27 millennia?\nAnswer: 5473327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 2. Let z(v) = -5*v - 9. Let w(k) = -9*t(k) + 2*z(k). Let y be w(-2). Suppose y*x - 4*x - 4 = 0, -p - 1 = 4*x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-15)*(-127 - -2). Suppose r = -3*c + 8*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433915, 867902, 1301889?\nAnswer: 1735876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3 + 3338655*z**2 + 13354584*z + 13354572 = 0.\nAnswer: -1112881, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*d**2*y**2 - d + y**2 + 7 wrt d?\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2244 + -14039\/6. Let z = v - -95. Let p = 2216 + -2215.9. What is the nearest to p in -1\/5, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Suppose 2*g = m, 0*m = -2*g - m. Do i and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27688820 to the nearest 1000.\nAnswer: 27689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4013050*3\nAnswer: -12039150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*z - 5*s, 9*z + 2*s = -224 + 190 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3142 - 2202. Suppose 0 = m - 6*m + c. Suppose 6*r - 2*r - 4*o = m, 5*r - o - 219 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 752150826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = p + 2*p - 9, 2*p - 6 = -5*w. Suppose w = -4*t + 20 - 0. Suppose -2*x - 32 = -5*x - t*c, 3*c = 4*x - 4. Solve 1 = x*k - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.106, 10\/3, 3, -535, -7?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5999.5606 to the nearest 10.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 169*z - 750. Calculate s(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-6 - -9) + (145 - 110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 12:29 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6307 - 1?\nAnswer: -6310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71640.2 and 0.2?\nAnswer: -14328.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(176)\/sqrt(11))\/(2*sqrt(2)*1).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 times 0.4\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 5*j - 16. Let x be q(5). Suppose x*c + 1315 = 14*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**9\/15120 + n**5\/40 - n**4\/4 - n. Let l(z) be the third derivative of w(z). What is the derivative of l(j) wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, w: 1}. Give prob of picking 1 b and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*7\/175*(-3)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 110, 74, 14, -76, -202?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 49*b**2 + 209*b - 136. Let q be l(-53). Solve 3*s + 4*z = -0*z - q, 4*z + 24 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3)\/m)**(6\/25))**(1\/6))**(-2\/31) assuming m is positive.\nAnswer: m**(8\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.7 + -32.4. Let r = -16.69 - l. Let k = r - 0.01. Sort 5, -4, k in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38754\/3601 - 140\/13. Let t = 572\/2493 + l. Which is the nearest to -0.2? (a) -4 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 5. Let i be o(5). Suppose -3*f = 5*k + 20, -5*f = -0*k - 4*k - 16. Which is the second biggest value? (a) i (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.007 + 0.193. Let p be ((-6)\/8)\/((-6)\/4). Which is the biggest value? (a) -5 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -710 - 3?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-6) + (-139 - -2). Let k = 19 - 158. Let j = r - k. Solve j*d = -z + 7, -2*d - 2 = 2*z - 0*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((3\/60)\/(76\/(-190))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 1}. What is prob of picking 1 x and 1 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8141*f - 2 + 8151*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*m + 11 - 16, m = 0. Let s = 0.1 + -0.9. What is the fourth biggest value in -0.4, i, s, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(760\/57)*9\/((-36)\/(-140)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + 3 - 4. Let j = y + 8. What are the prime factors of j\/(-15) + 114\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1457*z**3 + 25268*z**3 + 2232*z**2 - 2232*z**2.\nAnswer: 26725*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 14 + 2. Solve 4*y = j - 3 - g, -2*y = 2*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 s when four letters picked without replacement from {m: 2, s: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 72 - 10 + 23 + 12 - r in the form d*r + j and give j.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 3168045?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -163, -327, -491, -655, -819?\n\"Answer: -164*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-2 - 4\/12*-3). Let v(d) = 2*d**2 - x*d + 10*d**2 - 14*d**2 - 8*d. Let q(k) = -2*k. What is q(v(y))?\nAnswer: 4*y**2 + 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14481271 at least as big as 14481272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -v + 6*v + 20, 4*v + 18 = -2*f. Let o = 3 + v. Let b be (-7 - -9 - 4)*(5 + 372\/(-66)). Is o equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 7*g - 1. Let m(i) = -i**2 - 7*i - 6. Let c be m(-4). Let h be w(c). Let t = -2.9 + 0.9. What is the biggest value in t, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40288643 is divided by 363.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -7. Let m(v) = 12*v**2 + 9 - 17*v**2 - 9*v + 14*v**2 - q*v**3. Let r(j) = 2*j**2 - 4*j**3 - 1 + 0 + 3 - 2*j. What is -2*m(o) + 9*r(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) - sqrt(2178)*-2) + sqrt(18) + sqrt(18))\/(6*2*sqrt(6)) - (sqrt(36)\/sqrt(2)*3)\/((2*sqrt(66))\/sqrt(11)).\nAnswer: 17*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12194*u + 12241*u = -705 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9786 and 32178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/21 + l**4\/8 - l**3\/42 - 2*l**2 - 19. Factor m(b).\nAnswer: -(b - 1)*(20*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*s + 192, 240 = 5*p - s + 2*s. Calculate the lowest common multiple of p and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499163 is divided by 486?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -46. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (7 + -2 + (-46 - -54)) - 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**5\/15 + r**4\/24 + 2*r**2 - 6. Let i(u) be the second derivative of n(u). What is the second derivative of i(k) wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 10. Let j be w(-7). Let n = 6 - 6.3. Sort n, j, 4 in descending order.\nAnswer: 4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-7)*(-30 + 0))\/(-2). Suppose s*w - 2742 - 3123 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 691 + -1203. What is the tens digit of 1\/3 + 4 + q\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440228.317144 plus 9.34?\nAnswer: 440237.657144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -31*w**2. Let o(x) = -1227835*x. What is h(o(m))?\nAnswer: -46734942403975*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Simplify (((1 + sqrt(175))**2 - sqrt(175)) + 3)*6 + 3 + 3*(sqrt(175) - (sqrt(175) - (2*sqrt(175) - sqrt(175))**2))*-6*-3.\nAnswer: 30*sqrt(7) + 10527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*k = -78*k + 12456 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*2*-6.\nAnswer: -108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Let f = -112901 - -113022. Which is the smallest value? (a) k (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 11) to base 10\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*v - 8626 = 3026 + 4811 for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.85261 and -2.\nAnswer: -29.70522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + 19, -m + 5*n - 17 = 0. Suppose -2*s = -s + m, -4*s = -o + 10. Let a be 1 + o + 26001 + 0. Round a to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -0.5 (c) -3 (d) -0.0071\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. What are the prime factors of (-2 + 15)\/1 - i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 2*w + 16. Let t be 2\/7 + 44\/w. Let o = 1780\/9 - 198. Which is the closest to 1? (a) -4 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 9*c**2 + 8*c - 5. Let a = -4 + -4. Let p be i(a). Let u(d) = -d**3 - 6*d**2 - 5*d. Let w be u(p). Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2652388538 to the nearest integer?\nAnswer: 51501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - -0.25. Which is the biggest value? (a) v (b) -9\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5547720 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10818403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**9\/(v*v**(-1)*v)**26 assuming v is positive.\nAnswer: v**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:05 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:30 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3000))\/(-2*sqrt(294) - sqrt(294)).\nAnswer: -20*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = 10*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {n: 3, r: 1, s: 1, t: 1, j: 4, z: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**15\/(j**(-2)*j)**(4\/9) assuming j is positive.\nAnswer: j**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -0.26. Suppose 3*a + 1 = -3*l + 13, 2*a = -4*l + 12. What is the nearest to n in a, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 17, 31, 49, 71, 97, 127?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608200883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.7971232 - 0.797216. Let k = 11 - a. Round k to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/20152 and 89\/25190.\nAnswer: 100760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887353389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 17 = 207. Let q(f) = -3*f + 1. Let r be q(-1). Suppose 2*o + 84 = 4*u, -o = -2*u + r*u - 34. Calculate the remainder when i is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Suppose 0 = -4*k - 0*k + 132. Suppose k = 3*o + 4*l, o - 2*l - 1 = -0*o. Sort 3, o, u in decreasing order.\nAnswer: o, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 384 - 386. What is the closest to 27 in -0.1, 4, k, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*b = 77 - 35, -42 = -2*y + b. Solve 21 = 3*i + y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b**3 + 8577*b**2 - 8577*b**2 - 61*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i**2. Let n be ((-9)\/(-4))\/((-36)\/(-96)). Let x(u) = n*u**2 - 612*u - 4*u**2 + 612*u. Calculate x(m(r)).\nAnswer: 288*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**2 - 5 - 2 + 7*r + 2*r**2. Let f(t) = 20*t**2 - 20*t + 21. Let l(m) = -6*f(m) - 17*h(m). Suppose -20 = 5*g, 7*o - 2*g - 8 = 2*o. Determine l(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -121.16, 2\/11, -5, 1, -3\/4, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/6 - 10*n**4\/3 + 194*n**3\/3 - 653*n**2\/3 + 511*n\/2 - 99 = 0. Calculate n.\nAnswer: -33, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*12*(-16)\/(-6). Suppose i = 2*f - 48. What is the tens digit of (-24)\/f + (-376)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 7*w**2 + 6*w**2 + 9*w**2 + 4*w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23, 42, 61, 80, 99?\n\"Answer: 19*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -2523.\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3452.314 - -3448. Let g = 103 - 103.156. Let l = g + y. What is l rounded to 1 decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n + 38 = 0. Let j = n + 34. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 3*d - 9. Let f be l(5). Let u be ((-1)\/f)\/(-1)*2. Let i be (-86)\/(-24) + u\/(-8). Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 - 1) + 4. Suppose 0 = 7*b - 18*b + 66. Solve -5*k + b = -q*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 6*p. Suppose 0 = -2*q + 3*h + 20, 0*h = 5*q - h - 37. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22392 + 22392 + 20162*i - 20146*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:12 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g**3 - 39*g**3 - 16*g**3 - 16*g**3.\nAnswer: -33*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -62 - 93 - 57 + 43 - 31 - 39*f. List the prime factors of s(-31).\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10377762*l**2 - 17775*l + 224 wrt l.\nAnswer: -20755524","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15805, 15830, 15855, 15880?\nAnswer: 15905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 12152482.\nAnswer: 7\/12152482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7189 - 7179. Suppose -33 = -c + 3*b, 0*c = -2*c - 5*b + 77. What is the least common multiple of a and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 + 5*c**2 - 4*c**2)*(-c + 5*c - 2*c)*(3*c**2 + 2*c**2 - 3*c**2).\nAnswer: 32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.055 + 3.055. Suppose -2*r - 2*r = j + 11, -4*j = 5*r + 22. Put j, t, 0, -4 in decreasing order.\nAnswer: t, 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -19*d + 15. Let u be x(-3). Let i = u + -69. What is the remainder when 15 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k - 14 + 83 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(605) + -2)**2 - ((sqrt(2500)\/sqrt(5))**2 + sqrt(80)).\nAnswer: 128*sqrt(5) + 4949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 495*l + 1006470*l**2 - 1003379*l**2 - 140*l wrt l.\nAnswer: 6182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -299?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530532 and 1614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24b (base 14) in base 5?\nAnswer: -3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 12*p - 3. Let b be m(-11). Let t = -2 + b. Let c(j) = j. Let n(a) = a. Calculate t*n(u) - 3*c(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 1. Let m(x) = -9*x**2 - 2*x + 14. Let q(p) = -14*p**2 - 3*p + 20. Let w(d) = -7*m(d) + 5*q(d). Determine -5*n(h) + 2*w(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10895\/6 + -1816. What is the closest to -2 in -0.4, 5, o, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -9*s + 2*s. Suppose -2*o - 3*o = -3*k + 15, 4*k - s = -2*o. Suppose q - 4*r = 8, k*r + 115 = -q + 6*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 11. Let d = 21.3 + -21. What is the nearest to -1 in -10, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132422 (base 5) to base 12.\nAnswer: 312a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -160, 19, 6\/311?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -26. Calculate the common denominator of -27\/10 and (-21)\/(-28) + u\/(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 21850?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/121 and 2\/363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 - 2123496*y**2 + 6370509*y - 4247010 = 0. Calculate y.\nAnswer: -707835, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128409 * 10.6.\nAnswer: 1361135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a + 4*a)*(-2*a + a + 3*a + (2 + 0 - 4)*(4*a - 3*a - 3*a) - 2*a - 2 + 2 + 40 - 89 + 52 - 67*a).\nAnswer: -126*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1354\/3 - -454. Factor 2*j**2 - p*j + 8\/9.\nAnswer: 2*(3*j - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197*n - 5*n**2 + 2 - 197*n to the form i*n**2 + k + c*n and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -39*w + 373 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 + 4*k - 1. Let s = -6 + 9. Suppose 7 - s = 4*b. Let d(n) = -b - 5*n**3 - n**3 - 3*n + 2 + 4*n**3. Calculate 4*d(l) + 3*p(l).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 28708060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 + 2*p + 1. Let k be w(2). Let n be (0 + k\/4)*12. Is n\/2 + (-169)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 67*h - 65*h = -106, -3*h = -2*j - 62. Let w = 84 + -136. Let t = j - w. What is the remainder when 70 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/33 + -56\/165. Let o = 28 - 23. Let w be 3\/6*(2 + 0). What is the closest to w in -4, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2. Let x(b) = 62*b - 4. Let d(j) = -40*j + 3. Let f(t) = 8*d(t) + 5*x(t). Determine y(f(q)).\nAnswer: -100*q**2 + 80*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1400, -2, 0, 5, -1 in decreasing order.\nAnswer: 17, 5, 0, -1, -2, -1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.4 and 0.044?\nAnswer: 3.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r. Let m(v) = 3*v**2 - 129*v + 3. Determine k(m(y)).\nAnswer: 6*y**2 - 258*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-342)\/570)\/(1\/1)*60\/27.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let m(s) = 4*s - 15. Calculate m(l) + 6*y(l).\nAnswer: -2*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469830 a multiple of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -335*0.0144\nAnswer: -4.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-21)\/(u\/((u*u**(1\/5)*u)\/u))*((u\/((u\/(u**(-9)*u))\/u*u))\/u)**24)**(-37\/3) assuming u is positive.\nAnswer: u**(43808\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-9)\/15) - -1. Let s be (4\/(-21))\/((-30)\/105). What is the closest to s in -8, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:35 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let o = 53 + -49. Determine q(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(272))*2 - sqrt(272))**2*3 - (sqrt(272) + sqrt(272) + ((0 + sqrt(272))**2 - sqrt(272)) + 1 + 1*(sqrt(272) + 0 + sqrt(272))**2)) + -2.\nAnswer: -535 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 50. Is (-14)\/j*(0 + -36) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 293 (b) 1 (c) 49\/3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 5*f - 31. Let d be x(5). Solve 20*u = 9*u + d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**2\/2 + 83. Let x(c) be the first derivative of c**3 - c**2\/2 - 1. Calculate m(a) + x(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -571.4 - -497. Let g = s + 75.4. What is the fourth biggest value in g, 11, -2, 4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 11*x + 20. Calculate the remainder when 67 is divided by i(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 35173 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwm when four letters picked without replacement from {d: 1, m: 4, n: 1, h: 1, j: 1, w: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581 - -469. Let g be ((-36)\/m)\/((-39)\/(-52)). Let y = -13 + 38\/3. Which is the closest to y? (a) 1\/4 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -18. Which is the smallest value? (a) 2 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10666 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 (base 13) in base 3?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 134 = 4*u, -3 - 136 = -3*k + 5*u. Suppose 87*n - k = 85*n. Let f = 29 - n. Calculate the remainder when 16 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 4*s + 12, 3*v - 9 = 4*s. Let m = 6 - v. Suppose 0 = -7*x + m*x + 60. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {z: 4, r: 2, x: 3, q: 1, l: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -34. Let i be (2\/(-4))\/(4*(-4)\/128). Suppose -3*a + 143 = i*m, -2*m + 18 + 121 = g*a. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14246 = 23*l - 8133. Which is smaller: 980 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let c(o) = -70*o + 13. Let j(h) = -c(h) + 2*d(h). Is j(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -90?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*5 + (sqrt(110) + -2*sqrt(110))*-3 + sqrt(110))\/(sqrt(50)\/sqrt(80) - (sqrt(10) + sqrt(120)\/(sqrt(12)*1))).\nAnswer: 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 5. Suppose -3*y + 4 = 2*q - 9, 27 = 3*q - 3*y. Let i be k(q). Solve -i*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/3 + 456068*y**2\/3 - 10032770*y\/3 + 18392968 = 0. What is y?\nAnswer: 11, 228012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 710117866 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.4629 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5 + 316*j**4 + 18332*j**3 + 468864*j**2 + 4619538*j + 4168692 = 0?\nAnswer: -58, -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:19 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/5)\/(4\/10). Let p = -8511\/8 - -1069. What is the common denominator of p and 3 - -2*126\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 4212?\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 14. Let s(c) = -c**3 + 8*c**2 + c + 2. What is s(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-225) - (9\/(-27))\/(-101*27\/747).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -592*a**2\/7 + 8495194*a\/7 + 12300 = 0. Calculate a.\nAnswer: -3\/296, 14350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/30 + 5*r**4\/24 - 2*r**3\/3 + 3*r**2. Calculate z(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {e: 3, j: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 73113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -7*a. Let m be (-58)\/(-6) - 6 - a\/(-6). Let d be m\/(-6)*2\/4*-3. Let c(r) = 11*r - 1. What is c(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 66. Let g = i - -19. Does 12 divide (120\/5)\/(0 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2, 38, -3, -447, 56.\nAnswer: -447, -3, -2, 2\/11, 38, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905234 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 531352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-16)*5\/(-3)*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 20.65. Let i = 38.35 + u. Let p = 28 - i. Which is smaller: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 0*f + 84 = 0. Let b(d) = d**3 + 13*d**2 + 10*d - 8. Let a be b(f). Let n = a + -21. Put -6, 2, 4, n in descending order.\nAnswer: 4, 2, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {m: 1, a: 1, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 23*z**2 - 46*z. Let y(x) = x. Give n(p) + 46*y(p).\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22086287?\nAnswer: 47, 311, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.029643 * -1.05\nAnswer: 0.03112515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6070 (b) -1\/4 (c) 4 (d) -2 (e) -763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 42 - 19 - 35 + 115 + 11*i**2 + 10*i**2.\nAnswer: 21*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -838*b + 467600. Give p(558).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + 2.2. Let v = 5.622 - -0.078. Let j = 6 - v. Which is the smallest value? (a) s (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -99, -135, -171, -207?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1071 and 630?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3\/6 - 3*k**2 - k. Let z be w(-8). What are the prime factors of (282\/z)\/3 + 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-322)\/(-92))\/((-147)\/(-420)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*w**2 + 4*w - 612 wrt w.\nAnswer: 36*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(10)\/sqrt(80)*-4 - ((-3*-1*sqrt(288) - sqrt(288)) + 2).\nAnswer: -19*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 2, 6\/5, 1\/2, -93?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*b - 17*b = 978 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 + c. Let u(y) = 2*y**3 + 5*y**2 - 4*y + 1. Let a(f) = -u(f) - 3*v(f). What is a(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 4*k + 144. Let f be x(-14). Which is the nearest to -2? (a) 0.4 (b) f (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in -5, -3, -1, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 144*l**2 - 5*l + 80. Is 20 a factor of z(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08938 and 19348487.\nAnswer: 19348486.91062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-15)*(-100)\/210.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 61 = 59. Suppose -10 = 11*c - 13*c. Suppose 2*n - 31 = -0*n - 5*j, -c*n + j + 37 = 0. What is the remainder when y is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 3*g**2 + 4*g. Determine b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19037 + -19212. Is -5\/4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 greater than 7315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510352476?\nAnswer: 2, 3, 53, 802441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - 0\/(-4))*-1. Suppose -36 = -v*t + 4*t. What is the units digit of (t - 15) + (65 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185537 and 17776?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.88, 3017.24 in increasing order.\nAnswer: -4, -0.88, 3017.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 30*p - 89. Calculate l(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 4, 5 in increasing order.\nAnswer: -7, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 846046 greater than or equal to 846013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342604?\nAnswer: 2, 97, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/3*3*303\/(-36) and 143\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.4. Let o(n) = 7*n - 1 + 4 - 2*n + n**2. Let d be o(-5). Which is the nearest to i? (a) 0 (b) d (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = d. Let s = d + 18. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 2, h: 1, o: 1, g: 1, f: 1}. What is prob of picking 1 g, 1 o, and 1 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 100 - (40 - ((-90 - -46) + 79)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23860 less than 6?\nAnswer: 23866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 785441051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 44. Calculate n(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q)**38*q**4\/(q\/q**(-6\/7)) assuming q is positive.\nAnswer: q**(813\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/167 + 300\/2839. Factor 10\/17*f**2 - u*f**3 - 16\/17*f + 8\/17.\nAnswer: -2*(f - 2)**2*(f - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20335329 divided by 2905047.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 11 = -5*r, -4*r - r - 4 = 3*s. Let f = 393.7 - 463. Let w = -69 - f. What is the third biggest value in s, w, 0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.569 - -0.5301. What is c rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/20*-14*2. Let c = 11 + m. Let l(d) = -d**3 + 8*d**2 - 7*d + 3. Let f be l(7). Solve -5 = f*u - c*q, q = 4*u + 5 + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 101158.44.\nAnswer: -101162.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/3 + 158*b**3\/3 + 3964*b**2 - 49400*b\/3 + 50000\/3 = 0 for b.\nAnswer: -50, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**2 - 614*b + 212. Calculate the least common multiple of d(-68) and 116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 9. Suppose 0 = -5*h + h - 44. Let u(y) = 5*y + 46. Let q(n) = h*t(n) - 2*u(n). What is q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (9 - (-441)\/(-45))*-100?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 5*x - 2*x)*(-270*x - 235*x + 4033*x + 2466*x).\nAnswer: 11988*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 11*i**2 + 9. Let o(g) = -5*g**2 + 4. Suppose 0 = -6*h + 5 + 19. Suppose 11*y - 7*y + 26 = 5*b, 5*y = -3*b - 51. Determine h*p(l) + y*o(l).\nAnswer: 4*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -542518.06 and -0.46624.\nAnswer: -542518.52624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 754?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4589837.\nAnswer: 7, 601, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-2\/39))*p)\/p**(2\/7)*p**(-12)*p**(-3\/2) assuming p is positive.\nAnswer: p**(-7009\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 18. Let d be h(8). Let m be 4\/(-6)*(-63)\/d. Let w(x) = 15*x - 5*x - m*x. Let o(v) = 7*v. What is w(o(s))?\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.304 - 7.991. Let s = 0.53 - -6.07. Let h = s + i. What is h rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12364 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*h + 138*h + 34 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18197.62 kilometers in nanometers?\nAnswer: 18197620000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 + 5*d - 3. Let n(r) = 4*r + 2. Let v be n(8). Let w be 3 + v\/(-12) + 100\/(-24). Determine m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.79 - 32. Let t = 0.01 + g. Let b = t - -0.3. Is b greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(171)*-2*-1 - sqrt(171)*-1*-6))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 2*u - 4*u)*(-2 - 3*u + 2*u**2 + 5*u - 10*u**2).\nAnswer: -8*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-232 - 270 + 79 - 60)*(0*r - 3*r + 2*r).\nAnswer: 483*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*a**2*q**2 - a**2 - 2*a*q**3 - 21*q**4 - 47*q wrt q?\nAnswer: -46*a**2 - 12*a*q - 252*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 145.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112877, -225788, -338699, -451610?\n\"Answer: -112911*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 8:38 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (200\/5)\/(2 - 230\/122). Let k = -348 + a. Factor 2\/7*p**2 + 2\/7*p**3 + 0*p - k*p**4 + 0.\nAnswer: -2*p**2*(p - 1)*(2*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 5*x - 56. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 3432?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/2 + 182*r + 2. Let x(a) be the first derivative of 5*a**3\/3 + 2. Calculate k(x(g)).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 0.4, -0.2, 79 in descending order.\nAnswer: 79, 56, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 47, 72, 97, 122?\n\"Answer: 25*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/7))**(4\/9)\/((w**(-1\/5)\/w)\/w*w\/(w**(1\/9)*w)*w)*(w\/w**(-1))**5*w*w**6*w**(1\/2) assuming w is positive.\nAnswer: w**(12211\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osssslsss. Give prob of sequence ssls.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.078, 25.6, 0.1, -3, -1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 2*n**4 + 0*n**4)*(2 + 0 + 1) + 2*n**4 + 0*n**2 + 0*n**2 - 4 + 3*n**4 + 4 - 7*n**2 + 3*n**2 + 79*n**4 + 4*n**2 + 87*n**4.\nAnswer: 174*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 - 38*d**3 + 141*d**3 - 42*d**3 - 41*d**3 - 32*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815520 (base 10) in base 8?\nAnswer: 6731740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + b - 8387 - 17020 = 0, 5*b + 12731 = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zcczz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyuujuyycccjc. What is prob of sequence cjjc?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*m**4 - 24*m**4 - 5*m**4 + (-m**2 + m**2 - m**3)*(m - m + 2*m) - 2*m**4 + 2 - 2.\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + v + 17. Let g(c) = c**3 + 196. Let q be g(0). Suppose -2*s = -6*s + q. What is the remainder when s is divided by k(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 bigger than 749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 + 1060041*i**4 + 93572179005*i**3 - 12084113623893*i**2 + 383742679419840*i + 395920364162700 = 0. Calculate i.\nAnswer: -176738, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -369, -330, -229, -36, 279, 746, 1395?\n\"Answer: 5*p**3 + p**2 + p - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*10\/(-160) - (-110)\/4. Solve 6*q + r = 2*q - 5*b, 3*q - 5*b = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*o**3\/3 + 13572*o**2 - 40321*o\/3 - 160.\nAnswer: (o - 1)*(o + 480)*(85*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**2\/2 + 56. Let i(r) = 26*r**2. Give j(i(n)).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234385038 a multiple of 2789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1643, 33930, -5?\nAnswer: 1643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 6240\/179?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3 + 26*v**2 + 5*v = 0.\nAnswer: -5, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -453884*b. Let v(p) = 120*p + 5. Calculate v(f(t)).\nAnswer: -54466080*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.4 times -1?\nAnswer: 73.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.01612 and 10401?\nAnswer: 10397.98388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 4. Suppose 0 = -2*j - 3*j + 20. Let k be c(j). Let 12*f - 9*f**k - 2 + 24*f**3 + 8*f**3 + 4*f**5 - 28*f**2 - 9*f**4 = 0. What is f?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/72)\/((-3)\/9 + 0). Sort 0, 58, g.\nAnswer: 0, g, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 21. Which is the second smallest value? (a) 5\/3 (b) 2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-35)\/25 - 24\/(-10). Suppose -10 = 5*g + m + 4*m, -3*g - z*m - 9 = 0. What is the closest to 1\/5 in -7, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -0.02, -2.08, 2, 22\/3 in descending order.\nAnswer: 22\/3, 2, -0.02, -2.08, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = 52*g + 15 - 205 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 456 - 452.99. Let n = j + -0.01. Let i be ((-2)\/10)\/(-1 + 7\/5). Which is the second biggest value? (a) i (b) -1.1 (c) 5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10659*f - 1 + 1 + 92437*f + 63312*f.\nAnswer: 166408*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2345*b - 6459 = 2314*b + 454. Let d(q) = q**3 - 3*q**2 - 10*q + 8. Calculate the remainder when b is divided by d(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**3 + 2*v**2 + 1. Suppose 4*z = 4*q + 32, -7 = 4*q + 5*z - 2. Let u(r) = -7*r**3 - 2*r**2 - 1. What is q*u(i) - 6*j(i)?\nAnswer: -i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10579, 21322, 32067, 42814, 53563, 64314?\n\"Answer: z**2 + 10740*z - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31445, -63347, -95253, -127163, -159077, -190995, -222917?\n\"Answer: -2*f**2 - 31896*f + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a kilogram in grams?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*m - 12 - 6, 25 = 5*m + 4*f. Let r(q) = -q**2. Let n(g) = -3*g**3 + 2*g**2 - 2*g. Give m*n(c) + 2*r(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-52)\/6 + 9)\/(2\/66). Solve 2*b + 5 = y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and 38?\nAnswer: -2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/(-345)*7820\/(-680).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 1\/1)*1. Suppose 4 = -3*n + 7. Is 7 a factor of n - 2 - (-5 + r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/84 and 93\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 a factor of 417947462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 2*z - 41. Let o be t(-15). Let b = o + -363. What are the prime factors of b?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 20.8. Let m = -3 + a. Let g = m - 2.2. What is the nearest to g in -0.4, -5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.599 - -0.552. Sort 4, j, 2 in descending order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from mzmmmimimmmz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 418762421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 9) in base 11?\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644835.\nAnswer: 5, 17, 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 110 = -24. Is l\/(-2*(-3)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 8*c**2 - 7*c. Let y(b) = -b + 13. Let z be y(6). Let w be j(z). Let g = -1 - w. Sort 1, -2, g in decreasing order.\nAnswer: 1, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:29 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.1125917 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -92*d**3 - 46*d**2 + 46*d + 46. Let x(u) = u**3 + u**2 - u - 1. Give v(t) + 46*x(t).\nAnswer: -46*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 3 + 1 + (10 - (4 + -11 - -20)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4734 is divided by 145.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 - -2.75. Let u = -2.6 + v. Let g = 651\/4 - 163. Sort g, -5, u, -0.4.\nAnswer: -5, -0.4, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from xmmmmxmmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 5, -0.3, 1, -39.8?\nAnswer: -39.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96506 and 4234.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f - 2*f)*(-2 - 1 + 2)*(-5*f + 4*f + 3*f)*(145739 - 145739 - 360*f + (1 - 1 + 1)*(-3*f - 3*f + 2*f) - 6*f + 2*f + 2*f + 2*f + f - 2*f).\nAnswer: -2920*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2031 or -1860?\nAnswer: -1860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, v: 2, h: 2, d: 3, f: 4}. Give prob of sequence hhid.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z - 2*z**2 + 8*z)*(-18 + 520*z + 555*z + 2*z**2 - 1074*z)*(1 + 2*z - 1).\nAnswer: -8*z**5 - 4*z**4 + 72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2069.4, -7, 0.05?\nAnswer: 2069.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**4\/16 - 3*s**3\/8 - 16*s. Factor v(o).\nAnswer: -3*o*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41697 divided by -41?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/31 + -111\/217. Let q = -0.1 - 0.9. Which is the closest to q? (a) 5 (b) z (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - h**2 - h + 71*h**3 - 73*h**3 in the form r + i*h**3 + q*h + t*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 7294*k - 6559457. Let g(t) = -2*t**2 - 7284*t - 6559454. Let x(w) = 5*g(w) - 4*m(w). Solve x(p) = 0.\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 67147.05 millennia?\nAnswer: 6714705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let f be x(2). Let k be 4\/(-1)*f\/8. Solve 0 = 4*w - k*v + 2, -v - 6 = -2*w + 4*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 2:21 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 12*d + 3. Let v be r(-12). Let i(k) = -k**3 - 14*k**2 - k - 11. Let l be i(-14). Solve 4*u - 2*u + v = -3*j, 0 = j - l*u + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2171671 or -2171666?\nAnswer: -2171671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/11)\/x)**(-49)\/((x*x\/(x**(-4\/9)*x)*x)\/x**(-34)))**(-28) assuming x is positive.\nAnswer: x**(-47152\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 3*s - 9. Let j be f(6). Let u = 12 - j. Suppose 3*d = -u*a + 78, 2*d + a - 37 = -4*a. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121679 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269100*r**2 + 807312*r**2 - 269097*r**2 - 269108*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((((t\/(t\/(t\/((t**(1\/14)\/t)\/t)))*t)\/t)\/t)\/t))**50*t\/t**(1\/3)*t\/t**(-1\/16))**(-2) assuming t is positive.\nAnswer: t**(-1781\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r**3 - 2*r**3 + 4*r**3)*(2 - 3 + 2) + 6 + 1 + 2*r**3 - 2 to the form m + b*r**3 + v*r**2 + q*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and (25960\/(-384))\/11 + 1*3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -12, 0.4, -1, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 21*u - 24*u - 13, -4*n = -4*u - 12. Let j = -1 + 4. Solve -3*k = 5*o - u, -j*o = -0*o - 2*k - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6691717867 to the nearest integer?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -4. Let q(g) = -g**3 + 4*g**2 + 6*g - 8. Calculate the smallest common multiple of 15*(l\/5 - -2) and q(4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 510, 1180, 2402, 4380, 7318, 11420?\nAnswer: 16890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/12 - (-5)\/3. Let s = c + 2. Suppose 4*h = s*f - 42, 2*h - 1 = 5*f - 71. Solve -3 = -3*q - 4*y - 4, 0 = -2*q + y + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v - v)*(v - v - v**2) - 27*v**2 - 7*v**2 - 208*v**4 + v**3 + 23*v**2.\nAnswer: -209*v**4 + v**3 - 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)**(-3\/7))**(-1\/6)*(s**10\/s**(-10))**(1\/46) assuming s is positive.\nAnswer: s**(163\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, l: 2, j: 1, e: 6}. What is prob of sequence le?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*t + 5. Let c = 15 - t. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5679 + 0.0679. Put n, -0.44, -1\/4, 4 in descending order.\nAnswer: 4, -1\/4, -0.44, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -38327\/82?\nAnswer: -38327\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + 3*y**2)*(-1 + 3 + 5)*(-y + 6*y - 4*y).\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -80 (c) -873554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtgsh. What is prob of picking 1 t and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f + 2. Suppose -55 = -5*z + f*q, -z + q = -4 - 4. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -208*p**3 - 221*p**2 + 663*p - 221. Let l(k) = k**3 + k**2 - 3*k + 1. What is 6*d(y) + 1326*l(y)?\nAnswer: 78*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*o + 6. Solve 1 = k - o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5620, 3, 2, -1.\nAnswer: -1, 2, 3, 5620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3552360 (base 7) to base 5\nAnswer: -103343422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5 - 26472230002?\nAnswer: -26472229991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 13 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7736.3881 to the nearest ten.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*v - 58 = -13576 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 40 + 158. Let t = 229 - x. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9166812*m + 3962847 wrt m?\nAnswer: -9166812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 o when three letters picked without replacement from {e: 1, o: 2, i: 2, y: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = k + j, 3*k + 53*j = 56*j + 132. What is the greatest common divisor of k and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-5)\/(-325)). Let k = -24 - o. Solve 4*v = k*v + 2*q - 4, v = 4*q - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (-17 + 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163224615.\nAnswer: 3, 5, 29, 103, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 - 257 - 7*u**4 - 5*u + 9*u**3 - 4*u + 259 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + t - 13, 3*t = -3*y - t - 46. Is 14 a factor of (y\/4)\/((-2)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*t + 17, -3*t - 4*c - c = 31. Let p be t\/(-8) + 2\/4. Let l = -26 - -26. Is l <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, z: 12}. Give prob of picking 1 z and 2 m.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-54) - (-1386)\/972)\/((-3)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1632110 (base 7) to base 5.\nAnswer: 24221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7919\/8 + 990. Which is the third biggest value? (a) -8\/31 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 26 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3753 + 3943. What is the highest common factor of w and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:04 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0111 rounded to four dps?\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 13*v**3 - 20*v**3.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrjjrjjjjrajrn. Give prob of sequence rrn.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.5275409 to the nearest integer.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51860, -208868, -470548, -836900?\n\"Answer: -52336*n**2 + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -128882, -128808, -128734, -128660, -128586?\n\"Answer: 74*t - 128956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 801 and 27.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 + 12*r**3 - 131*r**3 + 74*r**3 + 18*r**3 + 18*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 302965?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k. Let r be (3 + k)\/((-3)\/(-8)). Solve 0 = -r*g + 4*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 - 145 + 21*g**3 - 190.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 120*t**3 + 900*t**2 + 2000*t.\nAnswer: 4*t*(t + 5)**2*(t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 4*w**2 + 5*w - 5. Calculate the remainder when z(-3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1245587 - -260327042\/209. Let k = v + 41\/19. Let f = k + 9\/22. What is the closest to 0 in 0.4, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -650 - -907. What is the remainder when i is divided by 71?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -262, -482, -1120, -2386, -4490?\n\"Answer: -35*s**3 + s**2 + 22*s - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -23501*q - 2. Let w be i(-2). Round w to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*p + 18 = 0. Suppose 0 = 5*x + 4*y - 3410, 4*y + 673 = x - p. Suppose -3*m - s + x = -0*s, 3*s = -4*m + 916. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4308 = 3*i, -3*p + 8*i - 4*i = -6513. Does 177 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-322)\/21 + 8)*(-6)\/20. What is the third biggest value in o, -1\/14, 0.1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*120\/60.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3715 is divided by 3393.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + 3*sqrt(77)\/sqrt(7) - 2*(sqrt(99) + sqrt(99)*-2)\/sqrt(9)))**2.\nAnswer: 90*sqrt(11) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6655399 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 1 + 7*p - 4*p + 3 to h + k*p and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -229. Let l be (-244)\/(-6) - 64\/i. Calculate the greatest common factor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421659 less than 421632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -987\/11, 0?\nAnswer: -987\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 789534.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4938487 is divided by 176364?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2 - -5))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149369300 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -34 + 154. Let a = r - -49. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38043 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -23*l**2 + 2*l. Let h(q) = -13*q - 1 + 2*q + 5*q**2 + 79*q**2 + 32*q**2. Let b(u) = 2*h(u) + 11*o(u). Differentiate b(f) wrt f.\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - 9*r)*(1 + 0 + 0)*(2 - 1 + 7).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5525 (base 13) to base 12.\nAnswer: 6a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4\/3 - 272*n**3\/3 + 412*n**2 + 504*n.\nAnswer: 4*n*(n - 63)*(n - 6)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 177. Calculate the highest common divisor of q and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/21 + 17*w**4\/24 - 5*w**2 - 11*w. Let n(k) be the first derivative of h(k). Find the second derivative of n(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-150) - (2 - 2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 16*k + 28. Let f(w) = -w**3 + 5*w + 9. Determine -7*f(m) + 2*y(m).\nAnswer: m**3 - 3*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4761, 4782, 4833, 4926, 5073, 5286, 5577, 5958?\n\"Answer: 2*l**3 + 3*l**2 - 2*l + 4758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 3*p + 12 = 0, -4*m + 3*p = -2. Suppose 0*a - m*a = -8. Let z(b) = -b - 2. Calculate z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from srrlklskohokrsro?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b**2 - 3*b - 1. Let m be 754\/(-87) + (-2)\/(-3). Let h(d) = 4*d + 3*d**2 + 7*d**2 - 7*d**2 + 14*d**2 + d + 1. Give m*j(z) - 5*h(z).\nAnswer: 3*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 2\/3, -0.02, -2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2486208 divided by 9008?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmml when four letters picked without replacement from lmmllmlmll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54099960 rounded to the nearest ten thousand?\nAnswer: -54100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3 - 9)*(186 - 482 + 125)*(2*t - 1 + 1).\nAnswer: 2052*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 75983, 75984, 75985, 75986, 75987?\n\"Answer: g + 75982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1358 (b) 2 (c) -2756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*n - 42 = -358*n - 3982 - 1184 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-2)*-3*(-164 + 166309\/1014).\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8875 divided by 2168\nAnswer: 8875\/2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1566690 * 1.17\nAnswer: 1833027.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -101*18\/(-90)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:54 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5*t**3 + 23*t**3 - 46*t - 24*t**3 - 3 as r*t**2 + n*t + i + x*t**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5489666 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1011100 (base 4) to base 9\nAnswer: 6064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17370386 divided by -4246.\nAnswer: 4091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**4 - 1030223*q**2*w**3 + w**3 - 6*w**2 + 610*w - 32 with respect to q.\nAnswer: -8*q**3 - 2060446*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-9))\/((-1)\/3). Let s = -2 - k. Find the second derivative of -u**2 - u + 0*u**s - 2*u**2 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*t + 3 + 15 = 0, -4*i + 2*t + 32 = 0. Let f = 5 + i. Suppose 2*c + 61 + f = 4*b, 0 = 2*b - 5*c - 28. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 - 3791 = -8*g. Let p = g + -1517\/5. Find the common denominator of 19\/11 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*s = 25, 2*p - 9 = 3*s + 10. Suppose -p*u = -5*w + 216, 6*w + 3*u + 219 = 11*w. Calculate the remainder when 199 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) - 8\/(-12). Let y = 8 - 0. Let v = -6 + y. Solve -4*l - 7 = a, j = -v*a + a + 3*l + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18716 + 88736 = 5*l. Let j be (-2)\/(-7) + l\/(-14). Let o be (10902 + 1*-2)*j. Round o to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -10, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21871327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**4 + 101891*m**3 - 2*m - 2806605?\nAnswer: 8*m**3 + 305673*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4*g - 1. Let h be l(-4). Let c = -24 + 11. Let u = c + 13. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34216432 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - -42. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.4 - 0.6. Let d = 8.3 + i. Let j = 0.30024 - d. What is j rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/31, -4, 6\/13, 0.4, 1 in decreasing order.\nAnswer: 1, 6\/13, 0.4, 0, -3\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*k**2 - 255*k**2 + 573*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12597539 divided by -2?\nAnswer: 12597539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 8 - 4. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2570\/247 - 338\/19. Which is smaller: t or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321376069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 30*x**2 + 818. Let k(d) = -d**3 + 36*d**2 - 817. Determine 6*j(h) + 5*k(h).\nAnswer: h**3 + 823","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3 + 7. Let g(c) = c**2 - 2*c + 9 + 19 - c - 22 + 0*c**2. Determine g(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 7:13 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h + 2*h)*(-46*h + 28*h + 15*h - 433*h**4).\nAnswer: -1299*h**5 - 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16468 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.017?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 466\/8*(-12)\/8. Let b = 87 + l. Let c be 4\/(-14)*1 - 0. Sort c, b, 0.1 in ascending order.\nAnswer: b, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjfrrjper. Give prob of picking 2 j, 1 f, and 1 p.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 11*w**2 - 13*w - 17. Give r(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.5, 0.1, 7 in ascending order.\nAnswer: -0.5, -1\/7, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/35)\/2*8*15\/(-60).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -430 + 696. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*b = -419 + 1847 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1435 and 3745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/6)\/(1\/4). Suppose -350 = -10*p + 750. Suppose 0 = -3*w - p + 101. Sort 5, b, w in decreasing order.\nAnswer: 5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let j(m) be the second derivative of -m**4\/12 - m**3\/6 + m**2\/2 - 17*m. Let f(r) = -4*r**2 - 2*r + 2. Let s(o) = -3*f(o) + 6*j(o). Give s(z(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/69*(-9)\/3. Let l(h) = h**2 - 10*h - 4. Let q be l(10). Let i = q + 7. Put i, m, -4 in descending order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4521730 (base 8) to base 12.\nAnswer: -4aab34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.21697 millilitres?\nAnswer: 0.02221697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12549023 a multiple of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 490909591, 981819183, 1472728775, 1963638367, 2454547959?\n\"Answer: 490909592*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 647*a**3*j + 77788730*a**3 + 3035*j**3 wrt j?\nAnswer: 647*a**3 + 9105*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*l = 0, 0 = -9*l + 6*l. Solve n + 3*s + 3 = -p*n, n = -5*s - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -u, 5*v + 55 = 5*u + 15. Suppose -4*f + 5*b = -134 + u, 0 = 2*f - 4*b - 62. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 226\/(-791)*-1*(-7)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 55 = 32. Let k = a - -27. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 30*m**4 - 33*m**3 = 0. What is m?\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -66207 in ascending order.\nAnswer: -66207, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 3*a + 4. Let n be l(-3). Suppose 6 = -2*c - 3*q + 8*q, -3*c = -n*q + 2. Is 21576\/20 - c\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(150)\/sqrt(3) - -2*(6*sqrt(8)\/sqrt(2))\/sqrt(2))**2.\nAnswer: 34*sqrt(2) + 579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*j - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/53 (b) 1 (c) 560055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 761, 878, 983, 1070, 1133?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4918572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m + 113. Determine u(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46226*j**4 + 10*j**3 - 5*j**2 + 42*j - 1181891?\nAnswer: 554712*j**2 + 60*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 5*m + 323*m**3 - 330*m**3 - 8*m.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/21)\/((-4)\/(-24)*2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38966392*d**3*r**2 - 2*d**2 + 2*d*r**2 + 147*r - 65 wrt d.\nAnswer: -233798352*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-4))\/(-15))\/((-129)\/860)*-15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 928836 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -105. Suppose 0 = f*b + 4*i - 24, b = 3*b - i. Solve -x - 15 = b*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68389 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2337 + 4471. List the prime factors of u.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75889126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/10 - 2*b**3\/5 + 19*b**2\/5 - 6*b + 27\/10.\nAnswer: -(b - 3)*(b - 1)**2*(b + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9. What is the nearest to f in 1\/7, -2\/11, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from mrwmwmnmmnnwr?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h = 39*h + 115 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 363*x - 1810. Give q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13388498779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019755181 a multiple of 4511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let q = 46.6 - 39.6. Put 0.4, q, 2\/9 in decreasing order.\nAnswer: q, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13156 divided by -5.\nAnswer: 13156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6404 - -6018.3. Let x = 386 + p. What is the closest to 0 in 0.1, x, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(3\/(-126)). What is the highest common factor of o and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**6 + h**4*q - 60*h**3 + 7*h**2*q - q - 9 wrt h?\nAnswer: -360*h**3 + 24*h*q - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - g + 1. Let s(w) = 16*w**2 - 4*w - 995. Determine s(m) - 5*u(m).\nAnswer: m**2 + m - 1000","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 4. Let p(o) = 28 - 14 - 15 - 3*o. Let f(k) = -2*d(k) + 7*p(k). What is the tens digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 62 = -6*t, -3*m - 70 = -5*t - 93. Solve -4*k = -6*k - 3*x - 13, 4*x - m = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/4 + 24*p**3 - 539*p**2\/2 - 24*p + 1079\/4 = 0?\nAnswer: -1, 1, 13, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48.1 and -150725290.\nAnswer: -150725338.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 - 7*j**2\/2 + 7*j - 5. Let r(f) = 6*f**2 - 2*f - 1. Let k be r(-1). Is t(k) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)*h*h**(2\/9))**(-42)\/(h**(-10)*h*h*h**(1\/3))**(1\/12) assuming h is positive.\nAnswer: h**(443\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.4 - -38. Put -0.26, p, 1 in increasing order.\nAnswer: p, -0.26, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -134, -150, -166?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831 = 2*m + 3*o - 1315, 2*o = -4*m + 4276. Let x be 5000\/(-3)*(29 - m). Round x to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 64 + (-6 - 2). What is t in -19*t**2 + 328*t**3 + t**5 + 2*t**4 + 45*t - 5*t**2 - 342*t**3 + h = 0?\nAnswer: -3, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 1009, 1494?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.839 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -531.3 + 717.235. Let r = -185 + b. What is r rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 30413?\nAnswer: -30410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6*1352167\nAnswer: 8113002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*z + 152*z - 5448 = -163*z + 5185 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*5*sqrt(1573)*3*-2*-3 + -1)*3)**2.\nAnswer: -17820*sqrt(13) + 114671709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1502 + 1505. Let c(s) be the third derivative of 0*s**4 + h*s**2 + 1\/20*s**5 + 0*s + 0*s**3 + 0. Calculate c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -24, -17, -8, 3, 16, 31?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 8*f + 13. Let q be c(-9). Suppose -q*v + 8 = -8. What is the remainder when 11 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*s - 2 - 1, -3*n - s = 19. Is 25\/n - -40 - (0 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*s = 7, 0*u - 2*s = 4*u - 10. Let j be 15\/(u\/(4 + -5)). Let q = j - -28. What is the highest common divisor of q and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2621769 and 3699.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 1707 = 3*d, -1273 = -3*t + 5*d. Let w = 1604471\/7 - 228787. Let z = t - w. Find the common denominator of z and -1\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 - 0.03. Let g = 2354 + -2392. Which is the third biggest value? (a) p (b) g (c) -1\/4 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 0*m + 3\/4*m**4 - 2\/3*m**3 - 2 + 0*m**2. What is the third derivative of u(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 - 2004*y**2 - 23766*y - 76. Determine r(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 765? (a) -0.3 (b) -2 (c) -93\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 40, 90*b - 5*f + 40 = 95*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010 (base 2) to base 12.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 71776.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2\/4 - 12725*q\/4 - 44415\/2.\nAnswer: -5*(q + 7)*(q + 2538)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7\/4, 26, 1435?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145163 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 37, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(11) + 3 + -6*(sqrt(300) + -2) + sqrt(300))**2.\nAnswer: -1380*sqrt(3) + 6573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476324 and 20844.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - 7*m)*(3*m**3 - 5*m**3 + 3*m**3 + 9*m**3 + 4*m**2 - 4*m**2 + m**3 - 3*m**3 + m**3 + (4 + 0 - 1)*(1 + m**3 - 1)).\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 19*r + 3*l - 66019991 = 0, 3*r = 5*l - 49514985. Round r to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*z**2 + 448*m**2*z - 4*m*z + 13*m - 6664932*z**2 wrt m.\nAnswer: 4*m*z**2 + 896*m*z - 4*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 6)*(-2*o + o + 0*o)*(-3 + 1 - 1).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnhnhnnh. Give prob of sequence nnhn.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 670 and 804?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + 3 - 14*g**2 + 20*g**2 + g**3 - 13*g. Let w be a(-13). Find the third derivative of 12*b - 4*b - 7*b**2 + w*b**3 - 8*b wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 - 4*q + 3. Suppose 5*s = 5*b - 20, -2*s + 2*b - 4*b = 4. Let k be -3*(-1)\/(s + 2). Let n be (-8)\/k*(-9)\/(-6). Give v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*h**3*w**3 - g*h**3*w + 12*g*h**2*w**2 - g*h*w**2 + 886*g*w**3 + 2*h**3*w + 53*h**2*w wrt w?\nAnswer: -6*g*h**3 + 5316*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.1 (c) 17182.4 (d) -2 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 12099137?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/220 and 75\/212.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 2360*v**2 + 2360*v**2 + 114*v.\nAnswer: -8*v**3 + 114*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6218, 6273, 6356, 6461, 6582?\n\"Answer: -s**3 + 20*s**2 + 2*s + 6197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 0)*(0 + 0 + z**3) - 40*z + 12*z**3 + 40*z to the form b*z**3 + t*z**2 + m*z + h and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**3 - 5*j. Let h(q) = -7*q**3 + q**2 - 4*q. What is 4*f(z) - 5*h(z)?\nAnswer: 3*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010010101111 + -10000?\nAnswer: 100010010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r - 28. Let y(p) = -1796155*p. Calculate u(y(c)).\nAnswer: 8980775*c - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/((-979)\/(-22))*75\/6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 1. Let g be ((12 - 0)\/3)\/l. What is the nearest to 0 in 3, -2\/11, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2560 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 9*n - 2. Let t be v(8). What is the third derivative of 3*a**2 - a - 2*a + 3*a + 2*a**t wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (36\/12 + 2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -1211012001011022?\nAnswer: -1211012001010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*v + 22 = 4*q + 660*v, 6 = -v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 103 = -108 - 157. Calculate the highest common divisor of n and 4531.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3625 + -3628. What is the nearest to 1\/3 in t, 3\/4, 40\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 - (-16 + 0). Suppose -190*u + 185*u = -40. Solve 5*o + u = -g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12) + 13 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537817 (base 10) to base 9.\nAnswer: 1008664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -22 (b) -3\/4 (c) 1 (d) 2\/3823\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8501\/12 - -2839\/4. Sort -6, v, -7\/2, 5 in descending order.\nAnswer: 5, v, -7\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24279.94 centuries to years.\nAnswer: 2427994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1472 + 3359. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 6*v**2 - 6 + 2*v + 8 - 1 - 2*v**3. Calculate the remainder when c(7) is divided by 14 + -1 + -1 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and 67.\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031 - -2542251?\nAnswer: 2543322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 16*z + 24. Let r be s(14). Let x = 2 + -2.3. Let w = x + 0.8. What is the third smallest value in r, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1305886084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566220.\nAnswer: 2, 3, 5, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4020 and 0.071968.\nAnswer: 289.31136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 12:04 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -4. Let c(y) be the second derivative of y**5\/20 + y**4\/3 + y**3\/6 + y**2\/2 - 4*y. Let j be c(w). Solve -2*v = 5*l - j, 19 = -v + 2*l + 3*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 2*z**4 - 2*z**4 - z**4 + z - z + (-5 - z + 5)*(-2*z**3 + z**2 - z**2) in the form r*z**2 + n*z**4 + g*z + b + p*z**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 6 + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -85?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8*j. Is -3\/11 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(54\/(-4)))\/((-328)\/492).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -73. Let f be 10\/(-45) - p\/(-9). Is 32\/5 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-29*a**2 - 10*a**2 + 11*a**2)*(1 + 4 - 3).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2edca + -2?\nAnswer: 2edc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.73 - 1.27. Which is the closest to -0.3? (a) -0.1 (b) 4\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20736 and 720.\nAnswer: 103680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8147567 is divided by 624.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111012101 + -202?\nAnswer: -1111020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29316 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.98 - -0.44399403.\nAnswer: 2.42399403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*-1*sqrt(65))\/(2*sqrt(605)*5 - sqrt(605)) + 0.\nAnswer: -sqrt(13)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/(2\/20). Suppose 198 = 13*u - w*u. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4)\/g)**10)**14)**(5\/8) assuming g is positive.\nAnswer: g**(-875\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (0\/5 - -1). Let y = -37 - -28. Sort -1, c, 1, y.\nAnswer: y, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Let y = 4 + -6. Which is the closest to 0.1? (a) 0.2 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*p**2 + 4*p**2 + p**2 + (4 - 4 + p)*(5*p - p - 3*p) - 4*p**2 + 3*p**2 - p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24212760)\/543235 - (1 + (-8)\/14).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -28*y**3 + 5*y**2 + 5*y - 5. Let f(t) = -27*t**3 + 4*t**2 + 4*t - 4. Give 5*f(z) - 4*k(z).\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1125)\/(-100))\/(11\/704*-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. What are the prime factors of 64\/12*(7 - z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)*u*u**(2\/11))\/(u**2\/u)**1 assuming u is positive.\nAnswer: u**(3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.9 - -50. Let w = r - 2.5. Let q = -0.4 - w. Do 0.3 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6*w = 4*w - 605, -5*x = 5*w + 620. Let z = -100 - x. Suppose -16*a = -z*a + 342. Does 32 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h\/h**(2\/13))*h)*h*h**(-2)*h*(h**1)**50*(h\/(h**(4\/9)\/h)*h**(-2\/13))\/(h**(2\/11)\/h*h*(h**(-3)\/h*h)\/h) assuming h is positive.\nAnswer: h**(72157\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 538001617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12591733611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 357943487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4*c = -12, -74*c = -2*l - 79*c - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*v, 0 = 3*p + 2*v - 0*v - 217. Solve p*z - 570 = -195 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855024674 to the power of 1\/2, to the nearest integer?\nAnswer: 29241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/20)\/((-71)\/(-426))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 44 = z. Let h = z + 15. Let l = 4 - 1. Solve -h*a + l*x = -10, -3*x + 6*x = a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 349 - 349. Solve 5*a - 2*b - 5 = 0, g = 2*b - b - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**15*q)\/q**5 assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/3*(-162)\/(-594)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003453 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d + 6*d + 227*d**2 - 225*d**2 - 11*d. Let l(o) = 6*o - 6. Let b(j) = -5*j + 16*j + 3 - 14 + j. Let f(q) = 4*b(q) - 7*l(q). Give t(f(u)).\nAnswer: 72*u**2 - 48*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -0*y + y. Suppose 27*v = 122 + 148. Suppose 8*h = v*h - y. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-94)\/(-90) + 3\/(-5). Let b = d - 23\/72. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1)\/1 + 437\/(-76) + (-100)\/(-100).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63391?\nAnswer: 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2906342 or 0.156?\nAnswer: 2906342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(23\/2))\/(w\/w**(-2\/11)))\/((((w\/w**17)\/w)\/w)\/w**44) assuming w is positive.\nAnswer: w**(1613\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001146 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(7395\/136)*36\/60*-1.\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + d - 37, 25 = d + 4*d. Suppose u + 30 = 6*u + 3*p, -4*u - 5*p = -37. Suppose 0 = -0*l - u*l + 12. Solve s + 2 = -5*b - l*o, -5*b = -5*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -227, -214\/7 in descending order.\nAnswer: 1, -214\/7, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:44 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6) - 3080\/21. Let u = n - -231. What is u rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*b**2 - 49*b**2 - 164*b**5 + (b + b**4 - b)*(3*b - b - b) + (-4*b**4 + 2*b**4 + b**4)*(-b - 3*b + 2*b).\nAnswer: -161*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2. Let b(m) = 30*m**2 + 2*m. Calculate b(c(i)).\nAnswer: 750*i**4 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from iklkaaiaabialoaii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4659*v**2 + 5311261*v + 1127. What is l(-1140)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139672873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 - 2183062810419.\nAnswer: -2183062810369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2) - (-1*sqrt(4)\/sqrt(2) - sqrt(2))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 904?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-78) + (-11)\/13 + 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**8\/14 + 9*l**4\/4 - 6*l. What is the third derivative of x(y) wrt y?\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**5 - 605630*q**3 - 5*q**2 - 2804086*q - 13 wrt q?\nAnswer: 20*q**3 - 3633780*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 399*r**2\/2 + 8315*r\/2 + 7917\/2.\nAnswer: (r + 1)*(r + 21)*(r + 377)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35546397 is divided by 360?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/3763539 and -42\/19?\nAnswer: 3763539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 + -117. Let c(i) = 5*i**3 - 40*i**2 - 44*i - 53. Let l(k) = -k**3 + 10*k**2 + 11*k + 13. Let n(u) = -2*c(u) - 9*l(u). What is n(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(4*(4*sqrt(17))**2*5 + -3 + (sqrt(2448) - (sqrt(2448) + 1 + sqrt(2448)) - sqrt(17))**2) + -5.\nAnswer: 260*sqrt(17) + 83105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*w - w + 5*w)*(4*w**2 - 5*w**2 + 2*w**2) + 280 - 13*w**3 - 280)*(2 - 17*w + 3 - 4) in the form n*w**3 + d + z*w + u*w**2 + j*w**4 and give j.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/91392 and 19\/25704.\nAnswer: 822528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -5*j - w - w, 2*w - 65 = -j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9133*l - 8917*l = 1944 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120637747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f + 62. Suppose -5*k = -f + 17. Solve -4*o + k = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + 0*o**4 + 2*o**3 - 4*o + 10*o - 3*o**4 to k*o + d*o**3 + p + m*o**2 + r*o**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(30)*-1)\/sqrt(10) - (4*sqrt(12)\/sqrt(4))**2)*5.\nAnswer: -236 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yltllllttztt. Give prob of sequence tty.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b = -74344 + 74795 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.307 - -0.107. Let v = -0.1 - -1. Let f = -3.1 - v. What is the second smallest value in r, 0.03, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 - 5 - c**3 - 5*c**2 + 427*c**4 - 432*c**4 to the form i*c**2 + q*c + f + p*c**3 + h*c**4 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g = 3*g + 296 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -13, 5\/3.\nAnswer: -13, 2\/3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 116934208.\nAnswer: 116934206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-30)*q\/(q**0*q*q)*q*((q*((q*((q**(-1\/35)\/q)\/q)\/q)\/q)\/q*q)\/q)\/((q**(-14)*q)\/q) assuming q is positive.\nAnswer: q**(-666\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + x = -18, 5*s + 607*x - 603*x - 54 = 0. Solve -18 = -4*b - 2*j, -3*j = -4*b + s - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.19 and 163.23?\nAnswer: -194.2437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.143 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(10\/(-4))*-575. Let s be (-5)\/(-2)*(-6)\/(-5). Suppose -x = -s*x + l. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x + 64*x = -261*x - 7564 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 16. Let u(o) = -o**3 - 7*o**2 + o + 7. Let r be u(-7). Suppose -3*t + 19 - 7 = -n, -t - n = r. Calculate the remainder when c is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:28 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 26*c**2 + 4*c + 111. Let z be k(-26). Calculate the greatest common divisor of z and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 18 + 2 = 3*y, -y = -5*z - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 31*l - 120. Determine h(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 8\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, a: 4, r: 3, t: 1}. Give prob of sequence tac.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4077059517?\nAnswer: 3, 83, 2207, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m + 28. Suppose 0 = 3*g - m*g + 20. Suppose -4*t = 2*o - 26, -22 + g = -o + 2*t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18010*g**3*k**3 + g**3*k + 2*g**3 + 7*g**2*k**2 - 194*g**2 wrt k?\nAnswer: 108060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.325 + -560.675. Let w = j - -560.9999641. What is w rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 549117, 549124, 549131, 549138, 549145?\n\"Answer: 7*p + 549110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 19*v - 108. What is y(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33029+-7.1\nAnswer: -33036.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3772 + 3832.72. What is y rounded to zero decimal places?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(450) + sqrt(450) + sqrt(450))\/((sqrt(810) - sqrt(810)*-2) + sqrt(810)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21.1, 17207, 3?\nAnswer: 17207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41365214\/14241 + 48\/4747. Let g = -2860 + i. Which is smaller: 45 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let q(m) = 19*m - 16*m - 2*m. Determine -3*n(c) - 8*q(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59119116163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/2 (b) -2 (c) -4 (d) -0.0682 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404023784 by -2.\nAnswer: -202011892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106953421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 6\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1018 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:57 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 123 = 3*x - 147, -2*o + 87 = x. Let b be x*(3 - -6*(-6)\/9). Round b to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, k: 1, n: 2, b: 1, f: 1}. Give prob of sequence baf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 - 3. Let g be f(6). Suppose -o = o, 3*l + o - g = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.065693 micrometers?\nAnswer: 0.000065693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 39*j - 8. Suppose 29*g - 26*g + 24 = 0. Let m be h(g). Suppose -4*p + 20 + m = 0. What is the remainder when 244 is divided by p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/390 + 17*q**4\/52 + 180*q**3\/13 + 3*q**2 - q + 520. Factor a(k).\nAnswer: 2*(k + 15)*(k + 36)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 14) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43745, 93348, 142951, 192554?\nAnswer: 242157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -28*l**2. Let w(g) = 484*g**2 - g + 27. Determine w(a(k)).\nAnswer: 379456*k**4 + 28*k**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 1, k: 1}. Give prob of sequence uku.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3006 is divided by 1051?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 34, -5, -89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2. Let i(u) = 3*u + 6. Let f(j) = -7 + 18 - 10. Let q(p) = -6*f(p) + i(p). Calculate q(s(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198890 and 119334.\nAnswer: 596670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(833) - (-1 + sqrt(833) + sqrt(833))) + (sqrt(833) - (-1 + -1*sqrt(833))))**2 + 6*sqrt(68)\/(5*sqrt(28)\/sqrt(7)).\nAnswer: 6*sqrt(17)\/5 + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let g(a) = 2*a + 2*a - 6*a. Let z(y) = -c(y) - g(y). Calculate z(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228771.7ns in microseconds?\nAnswer: 228.7717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-12)*1242\/345\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 438 and 16.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqd when four letters picked without replacement from {d: 11, q: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1161*g + 1126*g + 5076*g + 5547*g to the form b + c*g and give c.\nAnswer: 10588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8\/3 (b) -5 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 103 - 67 + 21 + 4 + 2*d + (1 - d - 1)*(7 - 1 + 2) as i + j*d and give i.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*c - 58, 5*m - 429 = -2*c - 393 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -30*m + 354. Suppose m*c = 57*c. Solve q + q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7487 (b) -4\/81 (c) -2 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -966500 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + sqrt(304) + 2 + sqrt(304) + (-1 + sqrt(304))*6)**2.\nAnswer: 19455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5557114 and -0.06.\nAnswer: -333426.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373274 and 4598?\nAnswer: 4106014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2526 - 2525.999773. What is h rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381.07 - 381. Do 0.29 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -97. What is the remainder when 85 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 14*m**2 - m + 17. Let c = -2 + 16. Let s be u(c). Let z = 9 + -9. Solve z = 3*f - 0 - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49cdeb (base 16) to base 6.\nAnswer: 251400443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) -0.1 (c) -7\/5 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -2, -1220.\nAnswer: -1220, -6, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -150 + 135.7. Let r = 10.3 + m. Let d = 0.1 - 1.1. Which is the third biggest value? (a) d (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 19. Let x(q) = -4. Determine -a(v) - 4*x(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14761 and 398547.\nAnswer: 398547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -11)*(-4)\/6. Let v be (-46)\/(-8) + 1\/n. What is the tens digit of 4\/v*132\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2496 - 1763. Let g = 2439 - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.44253544 to 3 decimal places.\nAnswer: -54.443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*y**4 - y**3 + 7*y**2 + 4*y wrt y?\nAnswer: 720*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 149389.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14324 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2728 - 2723. Solve 3*f - 6 = 2*f + 2*p, z*p = -4*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1707 divided by -6\nAnswer: -569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5837*m + 17831*m + 4 - 5983*m - 5994*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 14. Let i be j(-7). Suppose 3*z = -4 - i. Let l be (100000\/z)\/((-9)\/297). Round l to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145503 (base 11) in base 12?\nAnswer: -ab366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4187295 to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102080 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18822162 or -18822161?\nAnswer: -18822162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**3*w**4 + 290*t**3*w**3 + 30*t**3*w**2 - 9*t**2*w**2 wrt w.\nAnswer: 72*t**3*w + 1740*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivoacoiiocpi. What is prob of sequence iovp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 291 = -75. Which is smaller: -22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = -4. Let v be (0\/5)\/(2\/j). Solve -15 = -a + 4*m, v = 3*a + a + 3*m - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33405, -33411, -33421, -33435, -33453, -33475, -33501?\nAnswer: -33531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111355601, -111355602, -111355603, -111355604?\n\"Answer: -y - 111355600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122302211 - -100?\nAnswer: 3122302311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 5}. Give prob of picking 2 w.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25235 divided by -879.\nAnswer: -25235\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(136)*-2*3*4)\/((-2*sqrt(16))\/sqrt(2) + -3*-2*sqrt(8)))**2 + 0)*-3.\nAnswer: -1884 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in 0.12, -9, 4\/7, -20, 1\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65407.\nAnswer: 65407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let h be w(1). What is the third derivative of -3*o**2 + o**5 + 2*o**5 + h*o**5 wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*2\/((-28)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a46 (base 11) in base 4?\nAnswer: 331102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1)\/q)\/q*q*q**5*(q*q*q\/((q**(1\/4)*q)\/q)*q)**(7\/8))**(-2\/107) assuming q is positive.\nAnswer: q**(-233\/1712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 18. Let m(t) = 11*t - 11. Let f be m(c). What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12405656 - -254?\nAnswer: -12405402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from pupmzeuuuz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 233.13? (a) -0.4 (b) 0.056 (c) 1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060466 minus 0.052481?\nAnswer: -0.112947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -477, -1491, -3463, -6711, -11553, -18307?\nAnswer: -27291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11098 is divided by 222.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/84*14*((-369)\/12)\/(-3)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197000688 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 p when four letters picked without replacement from {p: 1, i: 2, b: 1, g: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -8, 5*t + 2062 = -s. Suppose -c - 2*c + 5*g - 88 = 0, -4*c = g + 79. Calculate the remainder when 55 is divided by t\/c - 4\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 295 - 234 = 3*v, -159 = v - 3*y. Let i = v - -167. Let r(l) = -4*l + 2. Calculate r(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than 3255\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57293347, 114586694, 171880041, 229173388?\nAnswer: 286466735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from jllljljjvl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/276 and 133\/72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/50 + t**4\/3 + 31*t**3\/15 + 6*t**2 - 474*t. Factor i(x).\nAnswer: 2*(x + 2)*(x + 3)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -0.4. Let y be (-3 - -1)\/(-2 - -1). Suppose 19 = -y*m - 3*z, 2*m + 14 = -2*z - 0*z. Are m and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241019 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9492)\/(-39550))\/((-2)\/(-50))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18 - ((-301)\/387)\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s + 1095. Let h be l(-91). Solve -h*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -156. Calculate the highest common factor of 28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, 14, -71, -38, 3 in descending order.\nAnswer: 18, 14, 3, -5, -38, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(2*w**2 + 3*w**2 - 3*w**2) + 3*w**2 + w**2 - 5*w**2 + 2*w**2 + 3*w - 3*w + (-1555*w - 1071611 + 1071611)*(2*w + 2 - 2).\nAnswer: -3111*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -31, -25, -17?\n\"Answer: n**2 + n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 34*z\/3 - 616\/3.\nAnswer: 2*(z - 11)*(z + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwsgvigiswwggg. What is prob of sequence gw?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5\/5 + 22*u**4\/5 - 446*u**3\/5 - 6932*u**2\/5 + 60421*u\/5 - 17986 = 0.\nAnswer: -23, 2, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1980*z**2 + z**3 + 1980*z**2 - 2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3*q - 5218*n**3*s**2 + 26*n**3*s - 2*n**3 - n*q**3 - q**3*s + q - 593543 wrt s?\nAnswer: -10436*n**3*s + 26*n**3 - q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/((p**(-3\/11)\/p)\/p*p))*(p*((p**(-7)*p)\/p*p)\/p)\/p*(p*(p**(7\/5)\/p)\/p*p)\/((p\/(p**8*p))\/p) assuming p is positive.\nAnswer: p**(117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13034827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2127711 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1 + 8*m - 1 + 4*m + 1. Let d be z(-1). Let b = d + 36. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29466 divided by -3?\nAnswer: 9822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -610717 greater than or equal to -610717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17473 - -17342. Which is greater: -144 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-101)\/582 + 1\/6. Let u = 200\/873 + j. Factor 2\/9*q + 2\/9*q**4 - u*q**2 + 0 - 2\/9*q**3.\nAnswer: 2*q*(q - 1)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + (2\/1)\/(348\/3654).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24259276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in -2\/17, 2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19568 and 15200?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.177 rounded to one dp?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 6*b**2 + 7*b - 25. Determine t(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let h(p) = -6*p + 1. Give h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -73\/3. What is the closest to a in 0.3, 5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) -0.017 (c) 0.4 (d) 210\/23 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 7*d**2 - 5*d + 10. Determine y(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 5. Suppose 0 = -5*t + j - 60, 5*t - k*j + 56 + 14 = 0. Let q = 11 + t. Solve -12 = 3*x - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1530*k**3 - 1542*k**3 + 3074*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -434, -3446, -11628, -27566, -53846, -93054, -147776, -220598?\n\"Answer: -431*n**3 + n**2 + 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -84. Let a be y - (0\/2)\/2. Calculate the common denominator of a\/10 + -2 + 2 and -95\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = 3*k - 9*k. Calculate the remainder when k is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.053 > 28\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 2. Let m be o(-3). Let g(s) = -m*s**2 + 3*s - 5 + s + s**3 - 3*s. Let p be g(7). Solve b - p = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*k - 15, 58 = k + 5*p + 67 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - -91 - -58 - 28?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2529*n + 19745*n + 36353*n.\nAnswer: 53569*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191786 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45511975919\/6620074710 + -2\/4163569. Let k = 4\/159 + l. What is the common denominator of 1\/(-4) - (-579)\/(-36) and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2882 and -11\/38776.\nAnswer: 426536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13))**(-12\/7) assuming c is positive.\nAnswer: c**(24\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olloay. What is prob of sequence lyla?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 2\/5 (c) -32\/5 (d) -4 (e) 2 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7804152 and 144?\nAnswer: 15608304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -39*h + 35*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2809713ml in litres?\nAnswer: 0.0002809713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 10*g - 18. Suppose 562*u - 2*m = 559*u - 15, -3*m = -5*u - 27. What is j(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334 + (-6 - 0)*1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 4, -6, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 4130440*a**2 + 8260892*a - 4130448.\nAnswer: -4*(a - 1)**2*(a + 1032612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 1. Let u(v) = 1 - 54*v + 53*v - 1. What is -6*l(f) + 5*u(f)?\nAnswer: f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -8*j**4\/7 - 25874*j**3\/7 - 8308*j**2 + 64646*j\/7 + 19392\/7 = 0.\nAnswer: -3232, -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 12*q**2 + 43*q**2 - 11*q**2 - 9*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + r)*(6 + 3 - 8) + (-19*r + 46 - 46)*(1 + 2 + 0).\nAnswer: -59*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 296 = -2*p + a, -p - 3*a = -163. Suppose 156*b - p*b = 6. Let q be 1\/(-1) - (-18)\/5 - b. What is the nearest to 7 in -2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9585*u - 153234. Determine h(-16).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.460437 less than 11?\nAnswer: 18.460437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375d4 (base 16) to base 14.\nAnswer: 5c900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 79*t**2 - 4*t - 314. Determine x(-79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-88)\/(-1056)*9\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppupprururrpuprrrgu. What is prob of sequence rr?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(-14)*v)))\/v**(-5))\/(v\/(v\/v**(-3))*v*v)**(5\/2) assuming v is positive.\nAnswer: v**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 120 = 5*x + 127, 3*i - 1 = -x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from ddddwkwkjrrydwk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17040254757936274 - 17040254757936273 - i.\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 2) + (91 - -4) + 0. Let r = 166 - v. What is the remainder when r is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b**3\/5 + 41*b**2\/5 - 2*b\/5 - 216\/5 = 0 for b.\nAnswer: -4, -27\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 + 24. Let k be n(4). Let j(m) = -5*m + 5. Let r(i) = 14*i - 15. Let x(f) = -17*j(f) - 6*r(f). Give x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667, -5154, -17307, -40954, -79923?\nAnswer: -138042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5767*s + 1396*s = -627*s + 3508*s + 101528 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47756.2 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.88 and 175021?\nAnswer: 329039.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.052, 3\/4?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 970 + 695. What are the prime factors of f?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*y + 195*y + 65 = -4*r - 49, -5*y = -3*r - 82 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-6) - 40*(-6)\/(-45). Is u\/12 - 10890\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7081 + 0.2919. Let q = -5.04 + 0.04. Sort -1\/7, 0.1, f, q in increasing order.\nAnswer: q, -1\/7, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 1 - 1144*i**2 - 1110*i**2.\nAnswer: -2254*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -564979\/530 + 1066. Let z = 2387\/1060 - d. Is 1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-1.214\nAnswer: 4.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 5*u - 52, 4*j - 728 = 3071*u - 6077*u + 2848*u for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183596 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2006, -13131, -24256, -35381?\n\"Answer: -11125*j + 9119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.01 - -7. Let g = 83 + -251\/3. Which is the second smallest value? (a) r (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3*-6)\/(3\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1064 = 95*u - 103*u. What are the prime factors of u?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*i - 51, 2*y = 4*i - i - 11. Let o = -11 - y. Solve w = -0*w - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:07 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2\/23*c**5 - 30\/23*c**3 + 8\/23*c + 80\/23*c**2 - 4\/23*c**4 - 96\/23 = 0?\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 0, 3, 31, 71 in ascending order.\nAnswer: -182, 0, 3, 31, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 388286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47323*g - 17 = -3*i + 47322*g, 5*g = 5*i - 35 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c\/((c*c*c**30)\/c)))*c*c**(-6\/13))**(-4\/33) assuming c is positive.\nAnswer: c**(476\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 93258*u + 93258*u.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2130.56 + 2130.6. Let i = 3 + 21. Put i, q, -3 in increasing order.\nAnswer: -3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1.48. Put 5\/4, -2\/7, v in increasing order.\nAnswer: -2\/7, v, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 235909 + 235909.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6356 divided by 908\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123323 times -6471?\nAnswer: -798023133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2699\/8 + -331. Which is greater: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3*x)**(-31)*(x\/(x**(-2)\/x))\/x**11 assuming x is positive.\nAnswer: x**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -51533599948.\nAnswer: -51533599947.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {r: 5, e: 13}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6820 - 6755. Calculate the remainder when 713 is divided by i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 5. Let a be k(3). Let c be ((-2)\/(-4)*28)\/a. List the prime factors of 2\/7 - 724\/c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 492862.88370829 - 492863. Let l = 1.38371209 - t. Let b = 1.5 - l. What is b rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*c - 9, -89*k + 86*k = 4*c + 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m - 272. Calculate the lowest common multiple of 173 and d(-20).\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose 7 = r*j - 8. Suppose -f - 3*t + 3 = 4, 15 = 3*f + j*t. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - 22?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c - 64. Determine t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 2*t + 2. Let k be z(-2). Suppose 0 = w - n - 22, k*w - 4*n - 31 = w. Let h = w - 10. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150455051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -16*h + 1. Let d(s) = 13*s - 3. Let c(g) = 6*d(g) + 5*t(g). Let p(x) = -x - 6. Let b(y) = 5*y + 2. Let n be b(-3). Give n*p(l) + 6*c(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57457 and -3?\nAnswer: 57454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 298, 322, 346?\n\"Answer: 24*a + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -319*a + 10*a**2 + 106*a + 109*a + 101*a + 3. Let w(i) = -30*i**2 + 8*i - 8. Calculate 11*t(h) + 4*w(h).\nAnswer: -10*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/2)\/((-5203)\/(-14190)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -65. Let k = -3 - -4. Suppose -3*l + 11 = -2*i, 0 = -4*i - l + 4 - 5. Which is the nearest to i? (a) y (b) k (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 491439*c**2 + c + 836828 wrt c?\nAnswer: 982878*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/13 + 5994*j\/13 + 22088336\/13 = 0?\nAnswer: -2147, 5144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 35568 = -2*n - 14466, -n = 2*c - 25027. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + ((sqrt(891) - (sqrt(891) + 2 - sqrt(891))) + sqrt(891))**2 - (sqrt(11) - ((4*sqrt(11))**2 + sqrt(11))*-2))*4.\nAnswer: -264*sqrt(11) + 12864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 174.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -91, -167, -271?\n\"Answer: -14*d**2 - 6*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 537.5 - 537. What is the third biggest value in t, -14, -0.052?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -127. Let u = -38 + 59. Calculate the remainder when m is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifwf when four letters picked without replacement from fuuwfiuiuuuiuwuuufwf?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 492.1069 and -234227.\nAnswer: -233734.8931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2000) + sqrt(20))\/(sqrt(4) + -2*sqrt(196)))**2.\nAnswer: 1805\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-8) - -4*18\/24?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -3, 179, -219 in decreasing order.\nAnswer: 179, 0, -1, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133358773 rounded to 3 decimal places?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -289*j**6\/30 + 528*j**2 + 1273*j. What is the derivative of h(w) wrt w?\nAnswer: -1156*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*sqrt(152)\/sqrt(128) - (sqrt(133)\/(-2*sqrt(7)) + 2) - (-2 + 0 + -1 + sqrt(1900))**2*3).\nAnswer: -28645 + 1795*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21138371 - -27?\nAnswer: -21138343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -5*h + 37. Suppose 0*o = -3*o + h. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 233, 375, 517?\n\"Answer: 142*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + 1 + (sqrt(98) - ((sqrt(98) - 1*sqrt(98)) + sqrt(98))) + sqrt(98) + sqrt(98) + 5 + (sqrt(98) - sqrt(98)*-1 - sqrt(98))) + 3)**2*5.\nAnswer: 5670*sqrt(2) + 40095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjbjbjjjjjj. What is prob of sequence bjj?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 2.1. Let x = 0.8 + a. Let m = 6 - x. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 10, 4*u = 2*m + 76. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-1)\/2)\/(((-462)\/14)\/66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -23) + 38 + -18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -6 - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(304) + 0 + sqrt(304) + 1*sqrt(475) - ((sqrt(684) + 1 - sqrt(684))*3)**2)*-1.\nAnswer: -14*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 3*q**2 - 3*q**2)*(-13 + 9 - 12 + (4 + 3 - 2)*(4 - 3 - 2)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 1 - 18*w**4 - 11 + 36 as z + t*w**2 + q*w + a*w**3 + x*w**4 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27325250467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546500 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6854732 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24624 and 456.\nAnswer: 24624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/4)\/(3\/(-84)). Let f(w) = -60*w + 303. Let a be f(7). Let t = v + a. What is t rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*y - 138 = -103*y. Suppose -y*b + 80 = -7*b. Solve 0*d - 35 = -b*j + 5*d, 5*d + 17 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -511*s**6\/30 + 1001*s**3\/2 - 986*s**2. Find the first derivative of g(h) wrt h.\nAnswer: -6132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33694.\nAnswer: 2, 17, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123783 and 10137?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-45) + 2\/9. Suppose 2*c + q*c - 158 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.92 (b) 2 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4564626 (base 7) in base 11?\nAnswer: -35a87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1. Suppose 0 = z + 4 - 5. Let a(i) be the second derivative of 3*i**3\/2 + 2*i**2 + 262*i. Calculate z*a(o) - 4*w(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 73594.54 nanometers?\nAnswer: 0.00007359454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 610612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5 - 5. Suppose -j = -4*u + 148, 0*u = -u + p*j + 44. Suppose -3*c - 3*s + 28 = c, -4*c - 5*s + u = 0. Solve 0 = -c*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43946245601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2823, 2821, 2817, 2811, 2803, 2793, 2781?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/273)\/15*105\/10.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 7*w + 12*w - 48. Sort w, -63, -5, 5 in decreasing order.\nAnswer: 5, w, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, 2, 2\/15 in increasing order.\nAnswer: -148, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/2224637 and -47\/14552?\nAnswer: 17797096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 5. Let s be g(-5). Let o(w) = -8*w - 9. What is the remainder when 91 is divided by o(s)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 3, h: 11, d: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -6*u - 2*k, -3121742*u + 3121741*u - 4*k + 110 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51520850809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 88, 195, 408, 763, 1296?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 8. Let r(p) = p**3 - 28*p**2 + 50*p + 58. Let l be r(26). Let a be t(l). What is the closest to 2\/3 in -7\/3, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (0 - (13 - 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 144 = 60. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8447.138nm?\nAnswer: 0.000000008447138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 7*i**2 + 70*i - 269. Give q(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - 10 = 0. Suppose -3*y = l - 5*y + s, -2*l + 17 = 3*y. Find the common denominator of 23\/12 and l + -7 + (-106)\/32.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010795.3 milliseconds to hours.\nAnswer: 0.55855425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 1. Let m be h(-3). Suppose 3*a + 14 = 2*y, 6*y = 3*a + 2*y + m. Let l(s) = s**2 + 2*s + 2. Calculate the remainder when l(a) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 87. Solve 8*g = k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 60*x - 524. Let w be 14\/21 - 13\/(-3). Suppose -224 = -3*g + 3*h - h, 0 = g - w*h - 66. Calculate the remainder when g is divided by n(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/3 + -4. Let s be (-70)\/150 + 2\/3. Put -2\/13, v, s in ascending order.\nAnswer: v, -2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g + 2 + 1556*g**2 - 24*g + 14*g.\nAnswer: 1556*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from qyjjjyyjjyyjjqy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141719961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(4\/(-20) + 3\/30*-8). Put x, 1, 0, 0.1, -4 in decreasing order.\nAnswer: x, 1, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(2400) - (sqrt(2400) + sqrt(2400)*1)))\/(sqrt(72)\/(sqrt(81) + sqrt(81)*2 + sqrt(81) - sqrt(81))))**2.\nAnswer: 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27564 divided by -3?\nAnswer: 9188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 574.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -12.61\nAnswer: -12.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 - 7 = 0. Let b = 235 - 228. Solve 0 = a*t + b + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7521, 7522, 7523, 7524?\nAnswer: 7525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = m + 20*m. Let a be (-65)\/13*m\/(-8). Is 2 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -451, -2\/3, 0.3, -2, 0.03, 13\/4?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165686.9799997 - -165686.9. Let n = -0.09 - -0.01. Let l = n - m. What is l rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (744\/(-5) + 2\/(-10)). Let n(k) = 5*k**2 + 25. Let f be n(-5). Is w > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 9. Let k be y(8). Let c = -26 - k. Let d = c + -15. Is 2.8 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780038?\nAnswer: 2, 7, 55717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297 - 214 - 274)*(-t**4 + 6*t**3 - 6*t**3).\nAnswer: 191*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s)**(-2\/27)\/(s**(-7)*s\/s**2) assuming s is positive.\nAnswer: s**(215\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 1\/6*j**4 - 2*j**2 - 3*j + 0 + 0*j**3. Differentiate w(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**8\/168 + t**5\/60 - t**3 - 5. Let b(f) be the third derivative of l(f). Find the second derivative of b(k) wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1032 + 1801. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62517203 - -62518419.06004. Let l = o + -1216. Let h = l + -0.06. Round h to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(-5 + 3 + (sqrt(13) - (sqrt(13) + 1))*-1)*6)**2.\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 12 + ((-6)\/15)\/((-28)\/(-350))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 0.05\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*t - 9 + 2, 0 = -4*t + 8. Let a be 3*-5*(4 - 5). Calculate the highest common factor of i and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1697174 + -4.\nAnswer: -1697178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.45509 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 44 = 4*z. Suppose -14 = -5*y - w + z, w + 11 = 4*y. Calculate the least common multiple of y and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*c - 41. Let f(r) = -302*r + 154*r + 149*r - 6 - 5. Let u be f(13). Solve -3 + c = u*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*2*1*sqrt(320) + -1*(-1*sqrt(80)*2)**2 + -4).\nAnswer: 480*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-15)\/6)*2\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 18*i - 15. Let n(v) = -21*v - 2. Is n(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsf when three letters picked without replacement from {x: 5, z: 4, i: 3, f: 1, s: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 70*u + 496 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337206 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzbfbzfbz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1122.7 - 1122.2. Let n = -1\/92 - -27\/368. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.9 and -9995.\nAnswer: -9988.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 368\/20 - 12 - (-12 + 19).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.0473.\nAnswer: 0.02365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1295, -2192, -3089, -3986?\nAnswer: -4883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046643147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/(-40) + 18\/(-45). Let x = 9.3 + -9.395. Let f = x + -2.905. Which is the nearest to 1? (a) k (b) f (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-9 - (-3 + (2 - (3 + 8)))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33\/20 + -3073\/1860. Is 0 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23284341.\nAnswer: 3, 337, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/285 and 107\/38.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 + 321. Let x be u\/(6\/192*4). Solve 0 = -19*r + x*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1612 + 2745. List the prime factors of l.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0770675564 rounded to 4 decimal places?\nAnswer: -0.0771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 123*v**4 + 185*v. Let y(d) = -370*d**4 - 557*d. Let p(h) = 19*q(h) + 6*y(h). Find the second derivative of p(o) wrt o.\nAnswer: 1404*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - 11020122211021?\nAnswer: -11020122210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37169472 by 387182.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**3\/7 - 421094*b**2\/7 + 1962632*b + 5562744\/7 = 0. What is b?\nAnswer: -42142, -2\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240233335 to the power of 1\/3, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261283228 + 37*m + 261283228.\nAnswer: 37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -691442, -691414, -691360, -691274, -691150, -690982, -690764, -690490?\n\"Answer: i**3 + 7*i**2 - 691450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2421*k + 12102. Give h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (-16)\/6)*18\/21 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -2.5 (b) -1\/5205 (c) 1\/11 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27297 - 6.9574?\nAnswer: -27303.9574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 161*x + 5. Let z(n) = n + 144. Let v(w) = -w - 108. Let a(j) = -4*v(j) - 3*z(j). Determine a(g(d)).\nAnswer: 161*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3055*l**2 + 535 + 9*l - 267 - 215 wrt l.\nAnswer: -6110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, 86432, 3, 4.\nAnswer: 0.25, 3, 4, 86432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = f + 8*n + 24, f - 2*n = 0. Let t be 6\/f*1 - (-275)\/260. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb (base 13) to base 12.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8243.465 micrometers?\nAnswer: 8243465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 61724146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - 28\/(-6). Let z be 1 - s - (-1 + -6). Suppose -l - z*f + 29 = 0, -l = -4*l - 4*f + 103. Calculate the remainder when l is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + 1 + -110. What is the common denominator of (-6)\/4*f\/27 and (-3)\/(-9) - (-313)\/(-66)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:23 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 460.8118 and 26.\nAnswer: 486.8118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 + 2*h**2 + 7. Let d(q) = 21 + q**2 - 7*q**3 + 2*q**3 - 27 - 3*q**2. What is -7*d(f) - 6*u(f)?\nAnswer: -f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5\/3, 8, -0.4, 2\/27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 124 - 108)*(3*c - c + c) + (2 - 2 + 4)*(-c + c - c).\nAnswer: 290*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10.126 - 6934.378\nAnswer: -6944.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120267041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-28)\/(-13) - 168\/78. List the prime factors of 2 - (5 + 129)*1\/g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 17766515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Let b(v) = -3*v**2 - 2*v - 1. Let f(o) = -o**2 - o - 1. Let w(n) = z*f(n) - 2*b(n). What is the second derivative of w(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687215.323 rounded to the nearest 10000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16032155 divided by 5?\nAnswer: -3206431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(200) + 6*(sqrt(200)*1 + sqrt(200) - sqrt(200)))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(2 + (sqrt(112) - (sqrt(112) + (1*sqrt(112) - sqrt(112)))**2))*-1.\nAnswer: -880 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 60*j**3 + 372*j**2 + 548*j + 240.\nAnswer: -4*(j - 20)*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 1. Let r be n(4). Suppose -20 - 25 = -r*b. Let j(x) = x**2 - 2*x. Let m be j(3). Solve -3*k + 5*d - 30 = -4*k, m*d - b = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 97?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/423 and -49\/423?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 - 101 - 225 = 39*n + 402 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:56 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 7*m**2 - 3*m - 16. Let d be b(6). Suppose -973 = -9*n + 4*n + u, 0 = d*n + 2*u - 394. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0 - 1\/21*v**7 + 1\/3*v**4 + 6*v - 2\/15*v**6 + 0*v**2 + 1\/3*v**3 + 0*v**5. Suppose u(w) = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 4*l - l + (4 - 3 + 1)*(-5*l + 12*l + 4*l) - 1 + 2*l + 1.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 2 u when four letters picked without replacement from {v: 2, u: 2, t: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -c, -2*h = 5*c + 9. Let i(p) = -4*p**3 + 14*p**h - 6*p - 11*p**3 + 6*p**2 - 4. Let z(n) = 2*n**3 - 7*n**2 + 7*n + 5. Give -7*i(t) - 6*z(t).\nAnswer: -5*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.0777, 1\/3, 9, -3 in ascending order.\nAnswer: -3, -0.1, -0.0777, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/3 + 5*b**2\/2 + 3*b - 2. Let o be y(-5). Suppose -7*i + o*i = 16. What is the nearest to -0.1 in 0, i, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13704*d**4 + 232*d**3 - 282030*d**2 + 5*d wrt d?\nAnswer: -328896*d + 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Suppose -f + 2 = 0, 3*f - 402 = -2*j + 324. Let m be j\/(-1254) - 4\/(-22). What is the smallest value in m, -2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 16*b + 15. Let n(f) = -3*f + 3. Let w(y) = 5*y - 5. Let r(m) = 11*n(m) + 6*w(m). Let j be r(4). List the prime factors of x(j).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 145892820.\nAnswer: 1021249740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260507521.\nAnswer: 260507521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0 - 3 - 2*q - 5. Suppose l + 7 = -0*y + 4*y, 0 = -5*y + 3*l. Let p be 152\/(-76) + 20 + -23 + 10. Let w(b) = b + 4. Determine p*w(z) + y*g(z).\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -23*t**2 + t + 169. Let z(q) = 87*q. Give x(z(o)).\nAnswer: -174087*o**2 + 87*o + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1219 and 1725.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**7*z*z)\/z*z)\/z**(-1))**(-3\/4)*(z**(2\/5)*z*(z\/(z\/(z*z**(-2\/5)*z*z)*z))\/z*z*z)\/(((z\/(z*z\/z**(-5)))\/z)\/(z*z\/z**(-1\/8))) assuming z is positive.\nAnswer: z**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-2 + 3))*4\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 10*h**2 + h + 11. Calculate the remainder when 41 is divided by i(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -120, 2, -5, 3 in ascending order.\nAnswer: -120, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 6*y**2 + 24*y + 58. What is the remainder when x(-6) is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, e: 5}. Give prob of sequence hh.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96010033.\nAnswer: 7, 17, 806807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2200 is divided by 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285648, -571280, -856910, -1142538?\nAnswer: -1428164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let m = 17 + -15. Let o = m - 3. Do o and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/6436 and 93\/8.\nAnswer: 12872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -4339\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:18 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 37*u**2 + 41*u - 102. Let f = 531 - 493. Calculate the remainder when 155 is divided by t(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovgwugwwwwnuu. What is prob of picking 1 n and 1 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v. Let r be u(1). Is (r\/(-6))\/(1\/154) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose 0 = y + 5, -y - 3*y - 35 = -3*s. Find the second derivative of -8*d - d**c + 3*d**3 + s*d**3 wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246322.7 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1120*d - 986*d + 2105*d - 107.\nAnswer: -d - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 157062\nAnswer: -157059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2331b8 + 1?\nAnswer: 2331b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128708776.\nAnswer: 2, 7, 31, 151, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -15 in decreasing order.\nAnswer: 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let d(z) be the first derivative of 0*z**2 + 1\/3*z**3 + 5 + 0*z. Calculate 2*d(s) + 3*f(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -0.5, -4, -3\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33102 at most 33134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 994447.3 rounded to the nearest one thousand?\nAnswer: 994000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689 = -6*i + 677 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47864 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: Collect the terms in 2*t**2 - 9115 - 304*t + t**2 + 305*t.\nAnswer: 3*t**2 + t - 9115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r, -5*r - 108 = 6*d - 203 + 119 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102725)\/(-14)*4*-700. What is q rounded to the nearest one hundred thousand?\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = -3*n - 3*r, -4*n - 375 = -3*r + 8*r. Let d be (-17)\/(-68) - (n\/4)\/5. Calculate the highest common factor of d and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2 - 26*q - 26781.\nAnswer: 2*q - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.9088 rounded to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -449*o - 1501*o + 268*o - 1050*o - 128*o + 729 wrt o?\nAnswer: -2860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-434)\/(-21) - (-2)\/(-3). Suppose o = -5*x + 8, o + 2*o + 4*x - 13 = 0. Suppose o*m = m + p. What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 7*b - 8*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = y - 6*h, 5*h - 15 = 0. Let w be 144\/60 - (3 + 26\/(-10)). Suppose w*o + b - 1 = 0, -7*o + 2*b = -3*o - y. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39006414 (b) 3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726148, 1452267, 2178386, 2904505, 3630624, 4356743?\nAnswer: 5082862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 take away 86071493665?\nAnswer: -86071493303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {a: 2, k: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00402297 rounded to 5 decimal places?\nAnswer: -0.00402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 12*s**2 - 21 + (2*s + 0*s - s)*(4*s + 0*s - 5*s) to the form j*s**2 + t*s + q and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q - 4*x, 0 = 4*q - 8*q + 4*x + 12. Let v = 4 - q. Suppose v = 5*r - 6*r + 58. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x - 3. Let n(v) = v - 8. Let u be n(0). Let d(l) be the third derivative of -5*l**4\/8 - 5*l**3\/6 - 3*l**2 + 56. Calculate u*f(r) + 5*d(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30554413 or -30554418?\nAnswer: -30554413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98704?\nAnswer: 2, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 859017 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/105)\/(-2 - 42\/(-20))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 919, 1493?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 971*k**2 + 651?\nAnswer: 1942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/15 and (7\/35)\/((-32)\/100 + -1).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*z - 3, -f = -5*z + 21. Let x = 24 - 25. What is the units digit of 1*f\/x*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - o - o)*(1 - 3 - 2 + (41 - 4 - 6)*(4 + 4 - 5)*(0 - 2 + 1) - 3 - 1 + 3) to the form p + a*o and give a.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7)\/62)\/(-9 + (-315)\/(-36)) and 31\/7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 + (-115 - -137) - (0 + -25).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -372821 (base 9) to base 15.\nAnswer: -46ad4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478181911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82281787.\nAnswer: 7, 23, 29, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105995.0076 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2. Let t be q(3). Let i = -126489\/10 - -12661. What is the common denominator of (4 - t)\/(66\/(-12)) and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22588464 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 7 + 7 = 0. Let p(w) be the third derivative of w**2 + m - 1\/60*w**5 - 1\/3*w**3 + 0*w**4 + 0*w. What is the derivative of p(i) wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -598*r**5 + 14*r**3 + 14*r**2 - 4*r. Let w(x) = -x**5 - x**3 - x**2. Let b(g) = -v(g) - 14*w(g). What is the second derivative of b(o) wrt o?\nAnswer: 12240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 15 = -7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 - 9796*j.\nAnswer: 2*j*(j - 63674)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3\/7 - 2311*v**2\/7 + 6179*v\/7 - 3865\/7 = 0.\nAnswer: -773, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2668329.\nAnswer: 3, 37, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 23 - -16)*15\/(1080\/(-1968)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*q - 182*q = -5*u - 90, -2*u = 9*q + 64 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 415179794 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24\/23 + 481\/483. Suppose -4*k = 3*r + 20, -25 = -16*r + 11*r + 5*k. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5623, -5736, -5849?\n\"Answer: -113*s - 5510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/10)\/(2\/10). Suppose -b*q - 4*p + 2 = -6, -15 = -3*p. List the prime factors of q\/(-4) + 6\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 - 5*s + 5. Let g(m) = -7*m**2 - 4*m + 4. Let z(r) = -5*g(r) + 4*p(r). What is the third derivative of z(c) wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbu when three letters picked without replacement from {q: 2, b: 1, s: 5, u: 2, e: 5, a: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 4. Let n(y) = y + 1. Let g(w) = -4*n(w) + 2*u(w). What is the remainder when g(16) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 894 = -3*s - 873, 0 = -5*j - 2*s - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*j = -4, 2 = 2*l + 3*j - 2. Let g be (1 + 3)\/((-2)\/l). Let o(s) = -s**3 - 3*s**2 + 4*s - 5. Give o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/3)*j**(-2)*((j**6*j*j)\/j)\/j**(4\/9) assuming j is positive.\nAnswer: j**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/6)\/(8460\/124080*11\/9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -24*v + 18*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 8. Let i(b) be the second derivative of b - 1\/3*b**3 + 1\/12*b**u + 0*b**2 + 0. Find the second derivative of i(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from bitbibbbbibbbibitbii.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02274 - 0.1769.\nAnswer: -0.19964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29455277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/5)*x**(-1\/3))\/(x**(-1)*x**4))\/(x*x**(-7)*x**2\/x)**(-13) assuming x is positive.\nAnswer: x**(-1037\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -23677.\nAnswer: 473.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. Suppose 8*k + 14 - 74 + 36 = 0. Which is the closest to x? (a) 4 (b) 0.08 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 15, 10*q = 8*q + 5*o - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 34*x + 12 = 2*k, -5*k + 46 = -3*x. Let j(c) = -c**3 + 9*c**2 + 3*c + 9. Calculate j(k).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 15. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 15*f**2 + 11*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1895 = -5*q - 3*a + 58664, 5*q - 5*a - 56745 = 0. Suppose -5*o + q = 3297. List the prime factors of o.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/10*2\/3. Let d = -2\/3 + w. Is d > -0.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 594*c - 999. Let v(p) = 70*p - 125. What is -17*v(g) + 2*z(g)?\nAnswer: -2*g + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3044, 6099, 9166, 12251, 15360?\n\"Answer: l**3 + 3048*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -28, 3, 0, 36, -5 in decreasing order.\nAnswer: 36, 4, 3, 0, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078339 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: Let g = -4284 - -11057. Let o = g - 162505\/24. Calculate the common denominator of ((-4)\/(-14))\/((-15)\/(-98)) and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49747696 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 12?\nAnswer: -43\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7703641.18 to the nearest 10000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2 - 9040*a\/9 + 2008\/9 = 0?\nAnswer: 2\/9, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {y: 1, b: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:52 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 471 and 16642?\nAnswer: 49926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311 + -10?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(-1170)\/(-5148)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**5)*l**(1\/5))\/((l**(3\/7)\/l)\/(l\/(l\/(l*l*l**(-1\/11)*l)))) assuming l is positive.\nAnswer: l**(-508\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 6*o + 10. Let t be w(7). Suppose 3*l + 2*p = 11, -1 - 5 = -l - t*p. Suppose -l*m + m = -16. Solve q - 3*q - m = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14229?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, 10\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022773 is divided by 1286.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 10, 178.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 11) in base 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g - 22. Let w be 1\/((-110)\/(-60) - (0 - -2)). Let y(p) = 10*p - 12. Let i(x) = w*n(x) + 11*y(x). Let d(m) = 25*m**2. What is d(i(b))?\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 5974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)\/((-2)\/(-12)). Let b = -231 - -245. Suppose -j - b = -y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzczzzzzzzzcz. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6634363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t + 3 - t**4 + 1\/2*t**2 - 2\/3*t**3. Let r(z) = -5*z**3 - 3*z**2 + 2*z - 2. What is 3*k(i) - 2*r(i)?\nAnswer: -2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18\/7 - 177\/77. Let q = 69.071 - 69. Let w = -1.929 - q. What is the third smallest value in z, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-8))\/(3\/(-8)). Let a = 8 - p. Suppose -a*s + 7 + 1 = 0. Solve -i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**2\/5 + 2096*x\/5 + 698\/5.\nAnswer: 2*(x + 349)*(3*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -389*r. Let n(k) = -3*k + 1. Determine i(n(t)).\nAnswer: 1167*t - 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 3, 4, 522 in ascending order.\nAnswer: -492, 3, 4, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 10. Let g = h + 15.1. What is g rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 782 + -788. Let y(n) = -n**3 - 5*n**2 + 6*n. Give y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-12) + (-2492)\/(-168) + -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*q - 24. Solve -3*c + 7*c + q = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11696)\/(-516))\/(((-3)\/(-18))\/((-13)\/52))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4 + 326*y**3 + 8936*y**2 + 8536*y - 197472 = 0.\nAnswer: -22, -6, 4, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 31077*j - 109766*j - 1 + 1.\nAnswer: j**3 - 78689*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 15 - (153 - 137) - (1 - 34)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 16) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 31 = -2*u, 5*b - 5 = 5*u - 90. Calculate the remainder when (-52 + 70)*70\/18 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -4, -3, -1, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*n - 2, 0*n - 2*n - 4 = 2*f. Let u = 18 - 25. Let d = u - -4. Which is the third smallest value? (a) n (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339445604 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 57*x**2 - 2403*x - 2457.\nAnswer: 3*(x - 21)*(x + 1)*(x + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h**3 + 24297*h**2 + 189726*h - 240840 = 0 for h.\nAnswer: -892, -9, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/((-8)\/32). Let s(g) = -11*g**2 - 974*g + 458. Let p be s(-89). Put 4, p, m in decreasing order.\nAnswer: p, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(66\/(-44))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4595829287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3 - (-27865)\/(-9825). Let v = 4\/131 - p. Which is the smallest value? (a) v (b) 3\/2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25719 + 52889. What is y rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320283167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/48 + -5\/16. Let d be -10*(-13)\/832*432\/180. Put -39, b, d, -5\/4 in ascending order.\nAnswer: -39, -5\/4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 4) to base 9.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, 1 c, and 1 i when four letters picked without replacement from {q: 1, c: 2, b: 2, i: 1, e: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**3 - 11*b**3 - 15*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 6115*s - 60711. Give p(1029).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1053)*1.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b. Let k(t) = t**2 - t + 1. Let n = -19 + 13. Let l(j) = 4*j**2 - 6*j + 6. Let r(x) = n*k(x) + l(x). What is w(r(c))?\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.8561215 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2*13\/2)\/(((-1)\/(-19))\/(104680\/(-198892)))\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 159355 or 159432?\nAnswer: 159432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-1)\/(-3)*3). Suppose y*h = 5*h. Let s = 3 - 3. Do s and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:22 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2399, 2, 16, -1, 4, -4, -3 in decreasing order.\nAnswer: 16, 4, 2, -1, -3, -4, -2399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 4*j - 1. Let q be h(4). Suppose 3*k - 2*k = d + 1, 3*d = k - 11. Let g be (188\/1645)\/((-4)\/(-28)). What is the closest to -1\/4 in g, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1015\/4 + -258. Find the common denominator of u and 109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8605630*c*v*x**2 + 2*v*x - 3*v + 2*x**2 - 45*x + 134 wrt c?\nAnswer: -8605630*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 24717 in decreasing order.\nAnswer: 24717, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2802 (base 16) in base 4?\nAnswer: 2200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:59 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 79*g**6\/120 - g**5\/60 - g**4\/8 + 2*g**3\/3 + 9220*g**2. Determine u(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.132 milligrams in tonnes?\nAnswer: 0.000000367132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3626062 + 3626063 + 12*k**3 - 7252125 - 4*k**2.\nAnswer: 12*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, s: 3, o: 10, i: 2, j: 1}. Give prob of picking 2 s.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 222 - 26. Suppose 9 = 3*h, 3*g = 7*g + 3*h - m. Let j = -419 + 444. What is the greatest common divisor of g and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + b83a3?\nAnswer: b83a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314.1 - -75.6. Let c = u + 237.43088. Let a = 1.07 + c. Round a to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-2)))\/x)**(-2\/3)*(x*x**10)**17 assuming x is positive.\nAnswer: x**(559\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2249829 is divided by 86529.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let d(r) = -4*r + 246. Determine d(a(i)).\nAnswer: 8*i + 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwppwpppppppwpp. Give prob of picking 2 p and 2 w.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 7*g + 5*g**2 + 23*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6115 or 8742?\nAnswer: 8742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-2 + -4 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -823 + 3*r**2 + 825 + 2*r**6 - 17*r**2. What is the second derivative of k(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7418*v + 304129. What is j(-41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 701, 712, 739, 788?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 181*t**4\/4 - 7*t**2\/2 + 2*t + 268. What is the second derivative of l(b) wrt b?\nAnswer: 1086*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165110 to the power of 1\/2, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40248504714586\/3663 - 10987852895. Let j = -290\/407 + m. Let u = j - -121. Calculate the common denominator of u and 11\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -17*u. Let z(r) = r**2 + 23*r + 63. Let g be z(-20). Let v(j) = -11*j + g*j + 4*j + 6*j. What is a(v(k))?\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 18 = 3*a + 3*d, 5*a + 8*d = 45 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 873, 1354, 1891, 2502, 3205?\nAnswer: 4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821 divided by 403?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.524748 grams?\nAnswer: 4524748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 17*j + 14. Let t be z(-8). Let a be ((-2552)\/(-22))\/(t - 2). Solve -a = k - 5*p, 9 = -k + 3*p - 2*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + g + 2 + 1 = 0, 8*p - 5*g = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6*s = 3*s - 14, 2*s = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 5567.\nAnswer: -1670.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/276 - (25\/(-23) - -1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.34 (b) -1 (c) -18 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2402324, 4804619, 7206914, 9609209, 12011504?\n\"Answer: 2402295*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75147625.\nAnswer: 5, 7, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 3 - o - o - 2*o + 2*o - 2*o + (3*o - 6*o + o)*(-2 + 3 + 0) + 3*o - 3*o - o + 3*o - 2*o - 4*o.\nAnswer: -7*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4391 or -4368?\nAnswer: -4391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 60 = 3*o, -3*o + o + 10 = 0. Let p(s) be the second derivative of -5*s**3\/6 + 21*s**2\/2 + 18718*s. Let h(u) = u - 5. What is c*h(i) - 2*p(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 230*a - 5323. Calculate u(23).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7800 - -171515\/22. Find the common denominator of -95\/6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.46 (b) -1 (c) -0.2 (d) -5 (e) 0.6 (f) 0.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*t - 910 - 136 = 0, -3*t + 1031 = 4*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 2445597?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 6. Suppose -2*l + b*l - 3 = 0. Factor -3*w**3 + 2*w**5 + w**l + 0*w**5.\nAnswer: 2*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -725478 or -12\/107?\nAnswer: -12\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -305?\nAnswer: -7\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, z: 4, b: 2, r: 1}. What is prob of picking 3 z?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8824027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -254, -467, -736, -1073, -1490, -1999, -2612?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 4\/3, -0.11, -6, -0.2, -4 in descending order.\nAnswer: 60, 4\/3, -0.11, -0.2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(42) + sqrt(126)\/(sqrt(3)*1))\/sqrt(6).\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwrurrurr. Give prob of sequence ruiw.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15309, 30475, 45471, 60291, 74929?\nAnswer: 89379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*l + 2, -5*j = -3*l - 32 - 5. Let s be (-1 - 1)\/((-165)\/(-44) + l). Sort -2, 14, s in increasing order.\nAnswer: -2, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*q**2 - 40*q**2 - 225*q - 14*q wrt q?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -30 - 55*l + 644*l - 84 - 584*l. Calculate p(16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -2 + -5)**2.\nAnswer: -126*sqrt(2) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 13) to base 2\nAnswer: 1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Let g be (1\/(-3))\/(u\/(-6)). Suppose g = -t + 4. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*f - 1, -f = -0*f + m + 5. Let t = -11632\/21 + 554. Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981739 is divided by 247?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 11, -97.2, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9608 and 344662980.\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -267d7125 - -4?\nAnswer: -267d7121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + x**2 + 10*x - 13. Determine d(3).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 2*d - 4972 + 4973 + 3*d. Let l(u) = -4*u - 1. Suppose -5*o = -5*p - 145, -6*o + 3*o = -5*p - 97. Suppose 0*f = 4*f + o. Give f*l(m) - 5*n(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27986 + -13539. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - 0.1. Let x = 2 - -2. Which is the third biggest value? (a) n (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 74\/10)\/(1476\/(-240) - -6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 497?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 546, -3, 2 in decreasing order.\nAnswer: 546, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 21 - 6. Let d be z + -2*(-5)\/(-10). Solve h + d = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374177 to the power of 1\/2, to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -4*c - 27. Suppose -3 = -2*i + 3*u - 2*u, -5*i + 2*u = -10. Suppose -i*n + c - 1 = 0. Solve 0 = -h + 2, n*h = 4*z + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 8 = q. Let o be (-1 - -1 - -1) + q. Let l = o - 10. Solve 2*p - 2*c = -8, p + 0*c + l*c - 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 408 = 12*b. Suppose -b = 16*h + 46. Put h, 0, -30 in descending order.\nAnswer: 0, h, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 2:41 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - -0.64. Let s = 1.254 - 6.254. Let y = -3 - -2. What is the nearest to s in y, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 464786 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdhq when four letters picked without replacement from {l: 3, d: 1, q: 3, r: 1, h: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13229 + -5849. Is z a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2036 and 100007302.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a + 5*a - 4*a)*((-2*a - 2*a + 0*a)*(-3 + 4 + 0) - 1 + 1 + a + 0*a - 3*a + 0*a) to d*a + z + y*a**2 and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24807 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/112 + 361\/112. Calculate the common denominator of f and -49\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142695 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12258.24 rounded to zero dps?\nAnswer: 12258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/68 and 61\/52258.\nAnswer: 104516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(1\/39)\/(s**(-7)*s\/(s\/s**(3\/5))) assuming s is positive.\nAnswer: s**(1253\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let j(w) = 30*w**2 - 11*w + 11. Let c(m) = -10*m**2 + 4*m - 4. Let s(u) = -11*c(u) - 4*j(u). Calculate r(s(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*s**6 + 5*s**5 + 5*s**4 - 136443*s**2 wrt s?\nAnswer: 53520*s**3 + 300*s**2 + 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:29 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2)\/((-65)\/(-10) + -7). Suppose -w = -4*w. Sort w, h, 22 in increasing order.\nAnswer: w, h, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 826 = 6*j - 2*j, 0 = -5*j - 5*t - 1030. Let g = -201 - j. Solve 4*p + 2*p + g = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1175, 5336, -2.\nAnswer: -1175, -2, 5336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.241 to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 475 - -604. Suppose -u = i - 187. Let t = -635 - i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101063?\nAnswer: 101063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -51.01. Let n = 54 + x. Sort 33, -1\/2, n.\nAnswer: -1\/2, n, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-7 + -7)\/28 + 4. Let y(f) be the first derivative of -24\/5*f**q + 0*f**4 - 45 + 0*f**2 + 0*f + 23\/3*f**3. Find the third derivative of y(n) wrt n.\nAnswer: -576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214371420.\nAnswer: 2, 3, 5, 3572857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -737*y**4 + 3*y - 7757 wrt y?\nAnswer: -2948*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 22 + 108 - 17 - 32 - 32 + 6*p**2.\nAnswer: 10*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5\/3. Let l = -0.8 + 1.1. Let h = -117 - -122. Which is the nearest to z? (a) -0.4 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from hvhvvvvevhehvvh?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 108, 75, -24, -195?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (0 - 3) - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7}. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17042?\nAnswer: 2, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/4)\/(-1*((-96)\/(-24))\/(-8)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*z + 688*z = 330*z - 1598 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inzzg. What is prob of picking 1 z, 1 n, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44 and -16348.\nAnswer: -719312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -103298, -104326, -105354, -106382, -107410, -108438?\n\"Answer: -1028*b - 102270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) - (sqrt(13) + -3 + sqrt(1300))) - sqrt(91)\/(sqrt(7) + 3*sqrt(7)).\nAnswer: -3 + 43*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 6447423 + 4968466 = 9663875. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1310334 + 1201422?\nAnswer: -103412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38376 divided by -19188.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190975*l**3 + l + 2*l + 15222*l**3 - 4*l.\nAnswer: -175753*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57843750 rounded to the nearest one hundred thousand?\nAnswer: 57800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 10*k**2 + 5*k - 3. Let o be (6\/(-4))\/(3\/18). What is the remainder when w(o) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 200*g - 195*g - 206*g + 13*g**2 + 601*g to v*g + t*g**2 + f and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 548604761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.6183976 to 2 dps.\nAnswer: 15.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) - (((sqrt(1216) + 1 - sqrt(1216)) + sqrt(1216))*6 - sqrt(1216))) + sqrt(1216))*-6)**2.\nAnswer: 10368*sqrt(19) + 395280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12304824 and -22\/81?\nAnswer: 332230248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825211 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 85.11\nAnswer: 25.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38775131 and 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b (base 13) in base 3?\nAnswer: 100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 13*d = -115. Suppose 18*r + 250 = d*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000063153 to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let c = -27 - -28. Suppose 0*b = b + c. Is w != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -550b + -4?\nAnswer: -5512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 2:01 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407176 and 5936.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10123, 10105, 10079, 10045, 10003?\n\"Answer: -4*s**2 - 6*s + 10133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 22251967?\nAnswer: 4\/22251967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (10 + -6 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20009150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185868 and 23220?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -6*k - 32. Let w = -26 + k. Suppose -28 = w*r + r. Let t(a) = -a**3 - 3*a**2 + 5*a - 2. Determine t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2, -0.2, -70, -32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37741 + -37741. Let y(g) be the first derivative of 18 + 0*g**3 + 37\/4*g**4 + d*g + 41\/2*g**2. What is the second derivative of y(p) wrt p?\nAnswer: 222*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r - 4. Let p be k(-3). Let c be p\/(-4)*(5 - 3). Solve 1 = c*z - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4*((u\/u**(-1\/7))\/u*u)\/u)\/(u**(-2\/21)\/(u**0\/u)))\/((u**(-1\/3))**(2\/157))**(9\/7) assuming u is positive.\nAnswer: u**(10694\/3297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/24)\/((-3)\/(-2)). Suppose -u - 4 = -5*u, -4*t + u + 15 = 0. Suppose t = 9*i - 10*i. Sort x, 0, i in decreasing order.\nAnswer: x, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 3\/1)*5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let u = 7 + -5. Let y(b) = b + u - 2 + 2*b. Calculate y(z(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*p + 300 + 4600 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 233096*x**2 - 1165324*x - 3263064.\nAnswer: -4*(x - 58269)*(x - 7)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let l(o) be the first derivative of -79*o**4\/12 - 20*o + 80. Let a(q) be the first derivative of l(q). Calculate a(d(k)).\nAnswer: -79*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**3 - 13*u**2 - 4*u - 9. Let v be 3*-2*1*(3 - 4). Is 11 a factor of m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7 and 17\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -59, -3, 95, -2 in decreasing order.\nAnswer: 95, 5, 2, -2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c - 522 + 1720 = -397 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9291957 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j + 2*w + 1, 8 = 2*j + 3*w. Let i be j*3 - (0 + 1). Find the first derivative of -1 + 2*s + i*s + 2*s - 3*s wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 - 5 + 5)*(-27 - 46 + 19)*(1 - 2 + 2)*(-5 - 31 - 2) as l*j + v + h*j**2 and give h.\nAnswer: 6156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + 11 - 2\/2 - 0. Suppose w = -21*t + 11*t + 5510. List the prime factors of t.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q**(-1\/3))\/q)*q**(1\/7)*q**(-1)\/q**(-3))**(-8\/5) assuming q is positive.\nAnswer: q**(-416\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/44831?\nAnswer: 3\/44831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:50 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 776 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -36960870 to the nearest 100000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10135776 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: Does 62 divide 17980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 - 4*j. Let l(z) = -10*z + 3687. Give l(s(q)).\nAnswer: -70*q**2 + 40*q + 3687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*v. Let y be v\/13 - 150\/(-39). What is the derivative of 0*c**3 + 0*c**3 + 19*c**y - 4 - 15*c**4 wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + -4. Let x(h) = 7*h + 34. Let w be 50\/35*(-9 + 2). Let i be x(w). Are b and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2618, 1, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 673 = -4*s - 677, 5*s - 4*k + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let w(y) be the third derivative of -y**4\/12 + 16*y**3\/3 + 2*y**2 + 47*y. What is b(w(x))?\nAnswer: -4*x + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 20) + 3 + (-17 - -6) + 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 192457204*a - 192457208 = 0.\nAnswer: -48114302, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 11*j - 38. Let c be s(-16). Suppose 19*a - c - 5792 = 0. What are the prime factors of a?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 31 + 32 + 64 - 3*b**3 + 4*b**3. Let c be l(0). Suppose 2*r - c = r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + 146*n - 146*n + 0*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-48)\/80) - -2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 78268 - 34542. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250616 (base 7) in base 3?\nAnswer: 202021011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*h - 8177 - 5027 = 2201 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.07 + 0.07. Let z be (-2)\/5 - (-3)\/6. Which is the second smallest value? (a) z (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.5. Let d = -28 - -28. Let j be 1\/2 + (-22)\/28. Which is the closest to d? (a) t (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8.5 (b) 2\/7 (c) 3\/5 (d) 1.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 7*p**2 + 47 - 24*p - 8*p**2 + 18*p**2. Let j be m(22). Solve -j*a = a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -145*m**2 + 144*m**2 + 4 - 4. Let b(i) = 12*i**2. Give b(q(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (43 - (25 + 6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67937 bigger than 8\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 166, 249, 332, 415?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2632 + 2631. Let l = -1.21 + 1. Let s = l - -0.01. Which is the second smallest value? (a) s (b) 3\/32 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 - (68 + -8))\/((-4)\/(-8)). Does 23 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2))\/1*6\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a + 3*a + 2*a**2)*((3*a - a - 3*a)*(1 - 4 + 0) - 2*a - 3*a + 3*a) to d*a**2 + l*a + u + p*a**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3794*j - 656108 = -4255*j + 1354*j + 60257 for j.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7718 and 681?\nAnswer: 23154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppepoop. Give prob of sequence eoo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 + -216.0572. Let u = 0.0572 + x. What is the second smallest value in -2\/15, -1\/2, 1\/10, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2766 - 2758. Solve 0 = -3*w - 0 + 6, -3*b = 4*w - s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 1048*g**2 - 183357*g + 3331. Calculate m(-222).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49074 divided by -1\nAnswer: 49074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 74 = -0*r - 3*c, -96 = -5*r + 2*c. Let u = r + -20. Suppose 3*z - 7 + 1 = u. Solve -q + 0*f = 3*f, -4*q - z*f = 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2936751 = 5*h, 4515466 - 599820 = 4*g + 3*h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 1 b when three letters picked without replacement from {r: 1, f: 1, u: 5, x: 1, l: 2, b: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1448344 and -15\/448472?\nAnswer: 88348984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -36 (c) 4 (d) 1\/8 (e) -0.3 (f) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4356881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 8*i - 14. Let j be o(-4). Let z(k) = j*k**2 - 4 + 3*k - k - 9*k - 3*k**2. Let b be (1 - 5) + (0 - 2). Determine z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287919.\nAnswer: 3, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {d: 2, k: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3600)\/250)\/((-3)\/(-5)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 858 + -818. Calculate the smallest common multiple of 2 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 88*t + 6. Give k(44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 632.93926 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 132754 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001101 (base 2) to base 11.\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -5*m + 114. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-278355)\/(-567) + 12\/162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9143, 18364, 27763, 37436, 47479, 57988, 69059, 80788?\n\"Answer: 16*j**3 - 7*j**2 + 9130*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7631 - -3?\nAnswer: 7634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 6*w**2 - 2*w**2 + w**2 + w - w + (-3*w - 3*w + 4*w)*(2*w + 4 - 4) in the form o*w**2 + t + v*w and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2266 + 62261?\nAnswer: 59995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34332 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18c2 (base 13) to base 7.\nAnswer: 13544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 - (53 + 62 + -71).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11110?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 6 - 9 - 2*j to the form w + o*j and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 80*f**3 - 33*f**2 + 17*f. Let k(m) = 27*m**3 - 11*m**2 + 6*m. Let i(l) = -17*k(l) + 6*v(l). Find the third derivative of i(p) wrt p.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10888191 and 6963939?\nAnswer: 16083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 168, 1\/4 in descending order.\nAnswer: 168, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 - 188*p + 92*p + 91*p + 372 + 277 in the form s*p + z and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(528\/891*27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + 4\/2 + -2. Let p be 2*(27\/r)\/(-3). Which is the biggest value? (a) -4 (b) -2\/23 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 35 = 42*y. Let s(b) = -7*b**3 + b**2 - b + 2. What is the remainder when s(-2) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k + 37860 + 115415 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-641314*b + 6 + 0 + 0 + 800881*b - 6)*(-b**2 + 0 + 0) in the form l*b**3 + w*b**2 + v + s*b and give l.\nAnswer: -159567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 4:09 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 19*s**2 + s + 24. Let d be a(-19). What is the third derivative of 3 + 11*m**2 + 25*m**d - 3 - 11*m**5 wrt m?\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18331305 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(76) + -1*sqrt(76)*-6 + sqrt(76))\/(sqrt(4) - 4*sqrt(16)\/sqrt(4)) + -5 + 0)**2*-6.\nAnswer: -2870\/3 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5769*v = 5804*v - 70 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(99) + 0 - ((sqrt(99) + -2)*2 - sqrt(99)))*-4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1559\/6209?\nAnswer: -1559\/6209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 2*g - 5. Let o be j(4). Sort -1, -5, o in decreasing order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -18, 13\/3, -84\/13?\nAnswer: -84\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b. Let d(c) = -155 + 155 - c**2. Calculate t(d(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2125 + 406. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -1313, -1946, -2543, -3092, -3581, -3998?\nAnswer: -4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 756219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1114 and 33103?\nAnswer: 36876742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 - (5 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/8208 and 67\/104880?\nAnswer: 943920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -99*h + 2. Let j be c(1). Let f = j + 95. Suppose -3*b + 3 = -0. Put f, -3\/2, b in decreasing order.\nAnswer: b, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1190 and 25452910?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729341 + 1095975 = 15*i - 1110919. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 11\/13, -1\/9, -6 in descending order.\nAnswer: 11\/13, 0.3, -1\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - o - 203 = 0, -2*x = -5*o - 141 + 62. Solve 22 = x*b - 74*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3049 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 37.14. Put -2\/11, -4, s in decreasing order.\nAnswer: s, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1589*k**3 + 67*k**2 + 838*k - 9. Let j(b) = 795*b**3 - 30*b**2 - 419*b + 4. Let i(c) = -4*f(c) - 9*j(c). What is the third derivative of i(m) wrt m?\nAnswer: -4794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1275)\/660 - -2)\/(-1*(-4)\/16)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 8*r**2 + r - 10. Give x(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + z + 24, 3*z + 24 = h + 8. Suppose 5*n + 333 = h*g, g - 6*g + 2*n + 412 = 0. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 351?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 - 10*l**2 + 0*l**2 - 1.\nAnswer: -23*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:29 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7677684?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1929657*p**2 + p + 8. Let j be q(-4). Let h = j + -14174516. What is h rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/11 + 710480*h**2\/11 - 63106964026*h\/11 + 1640300815348\/11 = 0.\nAnswer: 26, 177607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:41 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32678\/3063 + -2\/1021. Suppose 2\/3*h + 16\/3*h**2 + 0 + c*h**3 = 0. Calculate h.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8064 and 182602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 45.58. Let f = a - -0.52. What is the nearest to -0.1 in -0.1, f, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -494 + 160 + 166 + 166 - 87*s to the form a + l*s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:12 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 times -19.799848?\nAnswer: -5.74195592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*j - 5678 = -1700 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-4113)\/(-3) - 4. Suppose 5*j = -x - s, 1658 = -4*j - 4*x + 558. Let b = -130 - j. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 8*x - 12. Let j be o(10). Solve 2 = -5*t + 2*c + 1, 4*c + j = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1161796 and 36?\nAnswer: 10456164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-394)\/(-7) + (-2)\/7. Let j = 1426 - 1410. What is the greatest common divisor of i and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 9. Let f = -7 - b. Let j be -2 + 12*2\/13. Is j at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(1584) + 1 + -4)**2 - (-5*(sqrt(1584)*1 + sqrt(1584)) + (sqrt(1584) - (sqrt(1584) - (-1 + sqrt(1584))))*-6)) + 5 + -1.\nAnswer: 144*sqrt(11) + 1586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21321661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25\/3 + 23\/3. Which is smaller: 134 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9\/2)*y*y**(-1\/5))**(10\/11) assuming y is positive.\nAnswer: y**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -1\/3*g**3 + 0*g + 1\/30*g**5 + 0*g**4 + 0 - 3*g**2. Factor m(v).\nAnswer: 2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5603832 and 936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-19)\/418*8\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -439, -332, -169, 56, 349, 716, 1163?\n\"Answer: r**3 + 22*r**2 + 34*r - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l, 4*m + 2*l - l = 33. Let q = m + -8. Solve 0 = -q*i - i - b - 2, 19 = 3*i - 2*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.928557 nanometers?\nAnswer: 0.000928557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n - 173 = -71*n - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*w - 1020 = -211*w - 156*w - 140*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40023?\nAnswer: 3, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmmmvmmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 1.97. Let w = -114 - -119. Which is the third smallest value? (a) 3 (b) u (c) w (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4 = 3*g, -69602*g + 69603*g - 4 = -3*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let l be v(5). Let x be 2\/6*l*3. Solve 10 = x*n - 2*d, 5*n + d + d = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101 + 111022?\nAnswer: 201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11020*k - 25382*k - 18457*k - 13428*k.\nAnswer: -68287*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 2*j)*(1858*j + 383918 - 383918)*(0 - 1 - 1).\nAnswer: 3716*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66729)\/(-29))\/(3\/5).\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11421681611142 and 0.\nAnswer: 11421681611142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 9 - 7 - (-92 - (-14 - -46))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13060 + 2491. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132507214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67629036*y**3 - 7*y - 389967 wrt y.\nAnswer: -405774216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-88) - (-6)\/8) + 92. Let q = -73 + b. Calculate the remainder when 239 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p - 208 + 208)*(0 - 5 + 3).\nAnswer: 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/7 - -11\/21. Let u be ((-2)\/6)\/(2 - 0). What is the nearest to c in -0.3, 3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6472 - 6472 - 1957*b)*(b + 0*b + 2 - 3*b).\nAnswer: 3914*b**2 - 3914*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 0*i**3 - 22*i**2 + 23*i**2 in the form w*i**2 + l*i + n + q*i**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 2513616*t - 7540839 = 0 for t.\nAnswer: -2513613, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/3)\/((341\/(-66))\/(-31)). Solve 4*o = 3*n + 27, 6*n - 4*o + a = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3227942 and 1436564?\nAnswer: 8654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28203, -28198, -28191, -28182, -28171?\nAnswer: -28158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - (152\/(-24) + 2). What is the remainder when 1060\/90 + o\/18 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466.937 centuries in months?\nAnswer: 5360324.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -675 - -1723. Suppose -5*w + 7*w = x. What are the prime factors of w?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -99*m - 84*m + 184*m. Let l(b) = 8*b + 4. Let i(x) = -1. Let q(p) = -i(p) + l(p). Let d(o) = -o - 1. Let f(s) = 30*d(s) + 6*q(s). Calculate f(t(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 17*l**2 - 12*l + 36. Let t be h(-18). Let v = 84 + t. Let f = -2 - -4. Solve -c = f*r - 3*r, -c + v = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = 3*g + 328, 5*d + 2*g - 4*g = 12*d + 13*d - 26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -20, 25*b + c - 5 - 52 - 13 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85484*u**3 - 3*u**2 + 2*u - 1232.\nAnswer: -512904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let v(f) be the first derivative of -2*f + 0*f**3 - 3 + 0*f**2 + 5\/12*f**4. Let r(x) be the first derivative of v(x). Give r(l(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 27459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3586 + -53788\/15. Let p be (-2)\/(-4)*1\/2. What is the third smallest value in p, -7\/3, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 5*w**3 + 4*w**3)*(-213*w - 107*w - 86*w - 4).\nAnswer: -1218*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 9) in base 15?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awkw when four letters picked without replacement from {w: 4, k: 8, a: 3, d: 4}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95.1 + 96. Let m be (-2)\/((-27)\/(-3) + -4). Which is the nearest to -1\/4? (a) m (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2002*r**2 - 10*r**4 + 2 - 2002*r**2 - 4*r)*(6*r + 4 - 4).\nAnswer: -60*r**5 - 24*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -285 + -5?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 + 3. Let q be y(0). Let o(g) = -g**2 + g + 6. Let a be o(5). Let b = a - -20. Solve -q*f = -p + b, 5*f + 10 = -0*f - 2*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14539 + -14534. What is the nearest to 3 in -3\/35, -1, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z - 14. Let a = 3 + z. Suppose 0 = -2*l + 212 - 208. Sort a, 3, l.\nAnswer: a, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from tquqqqtqtqqtut.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 114000592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 442\/(-182)*-7*3?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 1514*s**2 - 35219*s - 202884.\nAnswer: (s - 1537)*(s + 11)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 286 = 9*b. Let c = 6 + -9. What is the smallest value in b, c, -2\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*j**2*x**3 - j*x**3 + 2*j*x**2 - 3*x**3 - 10*x wrt j.\nAnswer: 28*j*x**3 - x**3 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1440)\/(-14))\/(-36)*7\/(-2). Sort n, -20, 5, -1, -4 in descending order.\nAnswer: n, 5, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 433.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 1, -5181, -3 in descending order.\nAnswer: 80, 1, -3, -5181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*w - 22. Let a = w + 217. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 9.188415127?\nAnswer: 20.188415127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2. Let t(w) = -330*w**2. What is t(j(k))?\nAnswer: -1320*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from {o: 8, y: 5}?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {p: 1, t: 12, m: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21601 not equal to 21601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a - 1. Let b be z(1). Let m(x) = -6*x - 7*x - 31 + 6*x. What is the units digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 - 2*x - 6. Let k be u(4). Find the first derivative of -2*a**2 + 2*a**2 + 2 + 0 + k*a**3 wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188860?\nAnswer: 2, 5, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2 - 1)*-1)\/4. Let q = -2023.3 + 2023. Put q, -2, x in increasing order.\nAnswer: -2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4833 and 537.\nAnswer: 4833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Suppose -3*s = -0*s - 54. Let g be (-18)\/81 + 328\/s. Let k(b) = 5*b - 18 + g. Calculate k(c(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6 = 45*u - 42*u, u = d - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - i - i + 0 + (2 - 2 - 1)*(5 - 5 + 5*i).\nAnswer: -7*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 428*g - 412*g + 208 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 m when four letters picked without replacement from {j: 2, p: 8, m: 7, s: 3}?\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8, 0 = 2*m + 3*m - g - 23. Solve 0 = -5*a, -5*a + m = k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91708 and 3232?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*g - 810834 + 176553 - 666375. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 2*h - 44*h)*(0*h**3 - h**3 + 4*h**3) - 6*h**4 + 5*h**4 + 11*h**4)*(h - 15 + 15).\nAnswer: -125*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -13 + r - 1\/2*r**2. Let q be (-4)\/(-2)*(-6)\/4. Let b(u) = -2*u**2 - 5*u + 5. What is q*p(t) + b(t)?\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-76)\/6)*(18\/(-12) + 3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8683 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:12 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967442071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.079008937 and 0.1?\nAnswer: -0.0079008937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 1407*f**2 - 1407*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6661917702 rounded to three dps?\nAnswer: 0.666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(1\/11))\/(u\/((u**(-4\/9)*u)\/u*u)))\/(u**15*u**(2\/11)) assuming u is positive.\nAnswer: u**(-1358\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*p - 7950 = -5970 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1980) - sqrt(1980)*3)\/((sqrt(22) + sqrt(550))\/sqrt(2)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 4. Let n(u) = -u - 1. Let c(h) = 5*n(h) + z(h). Let p(m) = -4*m**2. Give p(c(f)).\nAnswer: -16*f**2 - 144*f - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(17 - -3 - -4). Suppose 5*m + 12 = -l, x + 3 = 4*l - m. Solve 32 = 4*b - 4*h, -3*b + 4*h = l - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11218 divided by 120?\nAnswer: -5609\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 3. Suppose -7*k = -k - 2976. Let c = 1472\/3 - k. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*d + 206 + 1400 = 0, -3*d = -5*s + 7958. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -2, -1\/5, -1\/4, -1726?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5454, -21813, -49080, -87255, -136338, -196329, -267228?\nAnswer: -349035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 914146 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + -241. Solve -35 = -b + c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 49. Let u = 4 - 9. Let x = u + g. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*x + 3*w, -x + 2*w + 0*w - 1 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 32.3 (b) -1\/19 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-363)\/(-22)*20\/(-16). Is -22 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/2*8\/30*(-639)\/1704.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + m + 6. What is l(-11)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.165 and -1342335?\nAnswer: 1342334.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/6 - 14*u**4\/3 - 49*u**3\/3 - 22*u**2\/3 + 33*u\/2 + 12 = 0.\nAnswer: -24, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 7. Let m be o(-5). Suppose i - 2*f - 10 - m = 0, i - 13 = f. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 40. Let s(b) = b - 4. Let m be s(h). Factor m*l**2 + 3*l**2 + 2*l**4 - 6*l**3 - 3*l**2.\nAnswer: 2*l**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/9 - 13*s**2 - 1221*s - 22143 = 0.\nAnswer: -33, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.9 - 1.4. Let a = c + 12.5. What is the closest to 0 in a, 1\/3, 0.4, -2\/129?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 31. Let s = 29 - i. Which is the second biggest value? (a) -1 (b) s (c) 5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**6\/3 - 18*d**5\/5 - 12*d**4 - 40*d**3\/3 + 400. Find i, given that k(i) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 34228812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 30\/(-5)) + 101. Suppose 0*p + l = 7*p. What is the tens digit of ((-6)\/(-2))\/(p\/115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 80288.04 and -1.\nAnswer: 80287.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/5)\/((b*b\/(((b*b**23)\/b)\/b)*b)\/b) assuming b is positive.\nAnswer: b**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*f*r - 4*a*f + a*r - 619*a - 5*f*r wrt f.\nAnswer: a*r - 4*a - 5*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = s + 1016, 2*a + 3*s - 187 - 233 = 0. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5553847213?\nAnswer: 5553847213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7671 - 7671 - 3*c + 7*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*p + 178*p - 321*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -1.8.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2485357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/2)\/q*q**(-3\/8)*q**(2\/25)*q**(-7\/5)\/q assuming q is positive.\nAnswer: q**(-1439\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + a. Let z be x(-1). Suppose 5*d = 2*n + 31, -2*n - n = 3*d - 6. Suppose -z*p + 2 = -d*s, -p + 6*p + 22 = -s. Is -3 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.164 + 169.164. What is the fourth smallest value in 0.2, o, 2, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327805 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5\/5 + 14048*y**4\/5 - 425428*y**3\/5 - 274912*y**2 - 935088*y\/5 = 0?\nAnswer: -3542, -2, -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/(-1)*2*3\/(-6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/25500 and 19\/232050?\nAnswer: 2320500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -193*j + 294. Let w(r) = -2*r. Calculate b(w(q)).\nAnswer: 386*q + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159 - 73 + 2189 = -147*x - 988 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -1 (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 6. Let u be (-3)\/(d\/(0 - -2)). Solve y = -u*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjr when three letters picked without replacement from {y: 1, e: 1, r: 2, j: 1, u: 1, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 9*q = -b - 9, 0 = q - 2*b. Suppose -q*f = -2804 - 9010. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 102555517?\nAnswer: 102555520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462223466 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (5 - 0) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4\/4 - 3*p**3\/4 + 3*p**2 - p.\nAnswer: -p*(p - 1)*(p + 2)*(5*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Let s be 12\/(-10) - 1\/(-5). Let y be 2*(-3)\/42*s. Sort y, g, 1.\nAnswer: y, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let n = 20 + -11. Let d = 7 - n. What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, 39, 174, 353, 570?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -283.81776527301 and 0?\nAnswer: 283.81776527301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g*t**2 + 2*g*x**3 - 29*g*x**2 - 2*g - t**2*x**3 - t*x**2 - 221*x**3 wrt x?\nAnswer: 12*g - 6*t**2 - 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 + 3*z**2 + 3 + 29*z**2.\nAnswer: 58*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425*l + 2777*l - 1400*l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 0*k - 2*k + (4 - 3 - 2)*(-1 - 3*k + 2*k - 2*k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -17586\nAnswer: -3517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9427.388 centuries in years?\nAnswer: 942738.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/75)\/(6\/(-20)). Sort o, -2, 11 in ascending order.\nAnswer: -2, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -200\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*-2*(-1)\/(-4). Let z(f) = f**3 - 7*f**2 - 2*f - 6. Let c be z(j). What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1264 + -617. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14*a - 35 = 19*a, 4*f + a = -19. Suppose -23 = k + 4*y, k - 5 = -4*k + 4*y. Put k, -2, 3, f in decreasing order.\nAnswer: 3, -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7622?\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 334000 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*(-6)\/(-3)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/5 - 2858*j\/5 + 8592\/5 = 0.\nAnswer: -1432, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (1126\/(-374) + 1). Let c = b - -356\/1683. What is the third biggest value in 0.5, c, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -202461159 rounded to the nearest one hundred thousand?\nAnswer: -202500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -254, -843, -1978, -3839, -6606?\nAnswer: -10459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 - -146?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 28*h + j - 51 = 4*j, 4*h + 9*j = -88 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**(10\/3)\/(((((u\/(u\/(u\/(u*u**6))*u)*u*u)\/u*u)\/u)\/u)\/(u**(1\/2)\/u))*(u\/(u**(-1\/2)*u))**(33\/4)*u*u**(1\/3)*u*u**(5\/6) assuming u is positive.\nAnswer: u**(121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 1. Let i = -5 - -9. Let k be w(i). Solve -3*a = -0*a + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32334630, 64669262, 97003894, 129338526, 161673158, 194007790?\nAnswer: 226342422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 - 202. What is the derivative of -142 + 43*g**s + 36*g**2 - 61 - 3*g + g + 4*g wrt g?\nAnswer: 158*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)\/(d*((d*((d\/((d*d*(d\/(d**17*d))\/d*d*d)\/d)*d*d*d)\/d)\/d)\/d)\/d))\/(d**(-4))**(-20\/3) assuming d is positive.\nAnswer: d**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251\/4 + 62. Let g = -145 + 117. Let t = -23 - g. What is the second biggest value in w, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2159 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/6 + 110*m. Let s(r) be the first derivative of -8\/3*r**3 - 1 + 0*r + 0*r**2. Determine s(o(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94935 is divided by 94778.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -5)*-1.\nAnswer: -7*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 240*q**3 - 3596*q**2 + 240*q + 3600 = 0 for q.\nAnswer: -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - ((428 - 413 - (15 - -2)) + 4 + -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -376 (base 11) to base 8.\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 253 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.57 - 0.43. Let h = -33.3 - k. Let p = 0.3 + h. Which is greater: -1\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -25, -2 in decreasing order.\nAnswer: 2, -2, -13, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21216 and 10608.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 573914440 to the power of 1\/2, to the nearest integer?\nAnswer: 23957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5 (c) 9 (d) 2.3737\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 68*b**3 + 426*b**2 - 2584*b + 2888.\nAnswer: 2*(b - 2)**2*(b + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.18, -2\/19, -4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)\/w)\/(w*w**(-1\/8)) assuming w is positive.\nAnswer: w**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*j**2 + 158*j**2 + 249*j**2 + 451*j**2.\nAnswer: 935*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1474000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**5\/20 - d**4\/6 - 2*d**3\/3 - d**2 + 11*d. Let w = 2 + -5. Is v(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-2 - -1)) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 times -173?\nAnswer: -7.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**2 - 16*j + 8. Let k(l) = 91*l**2 - 112*l + 55. Let a(t) = -2*k(t) + 15*o(t). Let m(i) = -9*i**2 + 11*i - 7. Calculate 5*a(c) + 7*m(c).\nAnswer: 2*c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 239166, 478331, 717496, 956661, 1195826, 1434991?\n\"Answer: 239165*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.115 in -16, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411338365 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 286394 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 3*s - 4. Determine v(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - s + 1. Let g(f) = -4*f**3 + 18*f**2 + 3*f - 8. Let i(h) = g(h) + 3*x(h). Is i(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + ((-102)\/4 - 2). Let i = -26 - x. Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*o**3 + 13360*o**4 - 3*o**2 + 25 + 5*o**2 - 13359*o**4 to the form v*o**2 + d*o**4 + l*o + i + u*o**3 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.05547 + 40. Round f to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k**2 - 7*k - 52*k**2 + 27*k**2 to i + y*k**2 + a*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3, 2*f - b = 3*f - 206. What are the prime factors of f?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkmt when four letters picked without replacement from {t: 1, h: 5, m: 3, k: 1, r: 1}?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14ab70 + -c?\nAnswer: 14ab61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5. Let d(k) = 42 + 9*k + 44 - 82 - 10*k. What is 4*d(y) - 3*h(y)?\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.4308, -2, 2, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from mmaaaaamammamm?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*t - 21823 = -8532*t - 83836 - 441945 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 5*s. Let f be ((-7980)\/(-171))\/(((-8)\/6)\/(-2)). Suppose -f*j + 2 = -68*j. Let b(r) = -r**2 - r. Determine j*t(h) + 6*b(h).\nAnswer: -8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from iikkkukukkk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) 31102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-28)*(2 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3176*b**2*d*o**2 - 3*b**2*o**2 + 58*b**2*o - 10*b*d*o - 4*d*o**2 + 71*d*o wrt o?\nAnswer: -6352*b**2*d - 6*b**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3 + 2066*b**2 + 29107*b + 27040 = 0.\nAnswer: -13, -1, 2080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/10 - 204*b\/5 - 409\/10.\nAnswer: (b - 409)*(b + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9935613*p*u**4 + p*u**3 + 1122951*p*u**2 + 4*u**2 wrt u.\nAnswer: -238454712*p*u + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723304109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -75, -1\/6, -1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + l**3 + 2*l - 86 + 7*l**2 + 88. Let i be t(-7). Is i less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*l + 13*l**2 - 1478*l - 13038*l.\nAnswer: 13*l**2 - 16319*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 70854420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let c = -116 + 120. Let i(a) = 17*a - c*a - 6*a + 77 - 5*a - a. Give i(f(t)).\nAnswer: -2*t + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l + 10. Is l <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 7*k**6\/120 - k**4\/24 - 7*k**2\/2 - 10. Let i(f) be the second derivative of z(f). Find the second derivative of i(t) wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**5 - 156472*n**4\/3 + 69546*n**3 - 52160*n**2\/3 = 0.\nAnswer: -26080, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131 + 39920\/(-320))*2\/(-3)*6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*a + 48 = 0, -245*g + 250*g - 12*a = -271 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 15908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6644 + 15375. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4)*1*-4. What are the prime factors of (-8)\/(0 - (-6)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16 + -18 + (0 - 1) + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x)*(2*x**2 - x**3 - 2*x**2) + 5*x**4 + 4*x**4 - 2*x**4 + 0 + 0 + 3*x**4.\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -210, -380, -556, -708, -806, -820, -720?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3aad2 - 9?\nAnswer: -3aadb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 + 4*u**3 - 51*u**2\/5 - 4*u\/5 + 68\/5.\nAnswer: -(u - 17)*(u - 2)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 0*a**5 + a**3 - 2*a**5 + (0*a**4 - a**4 - 4*a**4)*(-4*a + 2*a + 0*a).\nAnswer: 8*a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 30*k - 296. Let c be g(-8). Solve 2*a + 3*w + 10 = 0, -4 = 10*w - c*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50908 and 3146.\nAnswer: 559988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3481.53 - 3464. Let q = 124.4 + -124.93. Let m = q + w. Which is the closest to -2? (a) m (b) -3\/2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737*p + 1826*p + 2920*p - 788*p.\nAnswer: 4695*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11177655 is divided by 1085.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 17 + 45 = -2*d, 4*d = -2*n - 2. Suppose n = -3*t + 4*t. What is the highest common factor of t and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)*w\/(w\/w**(-14)))\/((w\/(((w**(1\/6)*w)\/w)\/w)*w*w)\/w)**40 assuming w is positive.\nAnswer: w**(-1519\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 1285*q**3 - 5*q**2 - 1285*q.\nAnswer: 5*q*(q - 1)*(q + 1)*(q + 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595913721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7))*-3 - 4*(2 + sqrt(7)).\nAnswer: -7*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7026375149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6783028229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6262*u**2. Let t(m) = -m - 348. What is t(n(o))?\nAnswer: 6262*o**2 - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -3, 8\/10315, -0.1, 4?\nAnswer: 8\/10315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:15 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 53*c + 6. Let p be f(3). What is the highest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14374 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21106 is divided by 84?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*b = -604 + 8655 + 12213 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1232704088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 11493.\nAnswer: 11493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39589115 and 508145?\nAnswer: 435480265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**4\/4 - 23*o**3\/6 + 2*o**2. Let w(h) = h**3 + 3*h**2 - 6*h + 4. Let t be w(2). List the prime factors of u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288.8 + 229.02. Let c = t + 59. Let l = c - -0.663. Round l to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691512.\nAnswer: 2, 3, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42341995 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-15)*15\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3 - 6. Suppose 3*k - 59 = 4*v, 0 = -d*k + 3*v + 77 - 20. What is the remainder when 24 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, 6, -2, -3, 1.\nAnswer: -4, -3, -2, 1, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 35\/3, -2?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 12 = 0. Suppose 0*t + 2*t = 5*k + 8, 25 = x*t - k. Suppose -l - 4 = -p, 3*p = -3*l + t + 9. Put 0, p, -4 in ascending order.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -5, -3, 0.6, -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((1*sqrt(102) + sqrt(102))*-5)\/(1*sqrt(294)) + -3 + -2)**2.\nAnswer: 100*sqrt(17)\/7 + 3072\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117267744*f**5 + 40262*f**2 - 1190 wrt f.\nAnswer: -7036064640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*r + 1\/4 + 1\/4*r**3 - 1\/4*r**2.\nAnswer: (r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -1) + -379 + 372 - (21 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x - x**3 - 8*x**3 + 7*x**3 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -12. Let j be (-23 + y)\/4 - -17. Solve -5*w + 1 = j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8718 = 4*r + 5629, -3*r - 5*t - 10754 = 0. Let g = 6636 + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 4, -24 in descending order.\nAnswer: 4, 0, -19, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmyh when four letters picked without replacement from zmhzhyyyzzhzhzmzzyh?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -1, -0.1, 5, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -976*y + 10530 wrt y?\nAnswer: -976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 28.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 144 = -4*n - l, 2*n + 3*l = 72. Suppose 0 = 2*h - n + 18. Let f = h + -10. Put 5, -3, f in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140618624 and 9088?\nAnswer: 140618624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -15, -21, -29, -39, -51?\n\"Answer: -z**2 - z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**3 - 4*w**3 + 6*w**2 + 2*w**3 - 5*w. Let k(y) = -y**3 - y**2 + y. Suppose -2*v = -0 + 2. Give v*q(z) - 5*k(z).\nAnswer: z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let c(v) = -33*v - 9*v**2 + 3*v**2 + 32*v. Give c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141\/56 + -1\/56. Let c = -11.91 - -12. What is the nearest to 1 in -3, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1493100 and 42.\nAnswer: 1493100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5.5, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {t: 1, g: 1, y: 5, h: 5, l: 7}?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.24 + 2.4. Let i = p + -1.16. Let w = 46 + -44. What is the second smallest value in 2\/3, w, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 9 - 2*f**3 + 2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 441146 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 30. Let l(w) be the third derivative of w**4\/8 - 2*w**3\/3 - w**2. Let n be l(h). What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639561?\nAnswer: 3, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3\/2 (b) 0.4 (c) -3 (d) -176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 68 = 610. Suppose s = p - 0*p. Let z = p + -118. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 65827.95?\nAnswer: 65822.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.999 + -2.001. What is the nearest to -11 in u, -1\/7, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 13 = -31. Sort i, 5, -20, -4 in decreasing order.\nAnswer: 5, i, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/61 - 254\/305. Which is the closest to 1\/3? (a) -1\/5 (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*u = 14, -4 = 4*i + 5*u - 2. Let h(f) = 2*f - 2. Let c be h(i). Suppose 9 = -c*y + 15. Solve -t + y = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-24)*1\/(-6)*-16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1215 + -305?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 9) + -2 - -7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 24 = -y, -6 = -q - 0*q + y. What is the highest common divisor of q and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) -2 (c) 0 (d) 292130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = 16, -w - 5 = -3*g. Suppose g = 4*b - 2*b - 414. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*t**5 + 2*t**2 - 22 wrt t.\nAnswer: 660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/5, 0.4, 15\/38 in descending order.\nAnswer: 0.4, 15\/38, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699361.\nAnswer: 13, 23, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 55.\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**5 + 6*b**4 - 3*b - 6. Let m(w) = -w**5 + w**4 - 1. Let a = 14 + -13. Let v(d) = a*x(d) - 6*m(d). Find the second derivative of v(l) wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130962 + 26606 = -11*v - 17*v. What are the prime factors of v?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6456823760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*c*h**4 - 2*c*h**2 + c*h*z + 3*c*h + 12*c*z**2 - h**2*z**2 wrt h.\nAnswer: 744*c*h**2 - 4*c - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 26*u**2 + 25*u - 6. Suppose -3*m + 4*z + 75 = 0, 0 = 3*m + 2*z - 28 - 47. Give o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n - 55*n + 130*n - 32*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 260334577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7038 + -7038.0000131736. Round v to seven dps.\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -0.09. Let n = -3 - -3.3. Let s = t + n. Which is bigger: 13 or s?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqn when four letters picked without replacement from {q: 3, t: 4, j: 1, n: 7, h: 1}.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -203, -422, -725, -1112, -1583, -2138?\nAnswer: -2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r + 22. Let a be m(0). Suppose 4*j - a = 90. Suppose j + 27 = 5*l. Solve -2*y - l = -b + 1, 24 = 3*b - 3*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 3*y)*(-y**3 + 0*y + 0*y) + 4*y**4 - 2*y**4 - y**4 + y**3 - y**3 + 3*y**4 + 4*y**4 + 0*y**4 - y**4.\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in 0.12, -2, 2\/17, 47, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336154655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 1.5\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1349*s**3 + 226*s**2 - 136*s**2 + 239*s**2 + 274*s**2 wrt s?\nAnswer: -8094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/110959 and -49\/58743.\nAnswer: 998631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.18 (b) -1.4 (c) -2.21 (d) -0.06 (e) -1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16032*l - 126. What is the hundreds digit of p(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 30 + 25)*(1 - 3*h + 15*h**4 + 3*h) to s*h**4 + l*h + g*h**3 + q*h**2 + m and give s.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/98)\/(18\/63). Let o = 2\/7 + v. Which is smaller: -13 or o?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(637))*1)**2 - (2 + (sqrt(1053) + sqrt(1053) + 5*sqrt(1053)*-5)**2).\nAnswer: -551162 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 45. Which is the closest to q? (a) 2\/23 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/9 - p**2\/6 - 16. Factor d(q).\nAnswer: -q*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3011 and -1403?\nAnswer: 422.4433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13138, 26089, 39040?\n\"Answer: 12951*u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 - 6*y**2 - 9*y - 2. Let n be s(7). Suppose j + j = -2*r - 268, -5*r - 4*j = n. Let u = -96 - r. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-1 + sqrt(1100))**2 + 3.\nAnswer: -3301 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.85 - -1.1. Let a = -1.65 - k. What is a rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 13 = 5*c. Solve 4*a - 15 = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1214, 4890, 11012, 19574, 30570, 43994, 59840, 78102?\n\"Answer: -m**3 + 1229*m**2 - 4*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 - 48*k**4 + 152*k**3 - 208*k**2 + 132*k - 32 = 0. Calculate k.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190800 is divided by 10041?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*s**2 + s + 12 - 36*s**2 + 796*s**4 - 794*s**4 to g + x*s**2 + d*s**3 + j*s**4 + o*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 5*l - 5. Suppose 0 = 278*t - 286*t + 48. Calculate the remainder when s(7) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2.201, -15225?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.23723 minus 41911?\nAnswer: -41908.76277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 - 2*f + 2*f)*(20 - 16 + 21)*(-25 + 25 - 4*f) as q*f**3 + v*f**2 + d + y*f + o*f**4 and give o.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 - -3 - -4 - (57 + (-33 - -10) - 24)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05218 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/1260 - 7*u**4\/24 - 7*u**2. Let r(a) be the second derivative of d(a). Let x(w) = 4*w + 2*w - 2*w. Calculate r(x(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 575262 from -452.\nAnswer: -575714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = 4*f. Let r(s) = -9*s**3 + 3*s**2 - 4*s + 10. Let m(b) = -2 + 1 + 5*b**3 + 2*b - 4 - 2*b**2. Let g(o) = 11*m(o) + 6*r(o). Determine g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 47*c**3 - 9*c**2 - 2*c. Let b(z) = 25*z**3 - 5*z**2 - z - 1. Determine -5*b(t) + 3*r(t).\nAnswer: 16*t**3 - 2*t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 64 = 2*h. Suppose 4 = f - 20. Suppose -3*m - 4*x + f = 0, -4*x = -2*m - 0*x + 36. What is the greatest common factor of m and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3 + (-5 + 3 + 1)*(0*z + 3*z - 6*z) - 3450 - 47*z + 3450)*(z**4 + 4*z - 4*z).\nAnswer: -42*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51755 by 12340.\nAnswer: 10351\/2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008968921673 to six decimal places.\nAnswer: 0.008969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 + 3)*(985 - 59235695*s**3 + s**4 + 59235695*s**3) as o*s**2 + z*s + r*s**4 + a + m*s**3 and give a.\nAnswer: -6895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*o - 1282 + 6519*o**2 + 137*o - 1251 + 2502 wrt o?\nAnswer: 13038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**3 + 169*c**2 - 30*c - 102. Let b(z) = z**3 + 33*z**2 - 6*z - 20. Let n(f) = 11*b(f) - 2*i(f). Factor n(x).\nAnswer: -(x - 8)*(x - 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e56 + -270?\nAnswer: 1be6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f + 2274*f**4 - 13*f - 123 - 2270*f**4 + f**2 as z*f**3 + b*f + a*f**4 + h*f**2 + y and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8*n - 6 = -7*n, 5*r + n + 6 = 0. Solve -114*j + 121*j - 14 = r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606688846.\nAnswer: 2, 303344423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 2*f + 43626 = -7*n, f - 65455 = -3*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -14, 8, -0.1, -367?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24515, -2, 119.\nAnswer: -2, 119, 24515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241156711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1096 and 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/84*(-120)\/750?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 296 times 26\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f - 8505 = -71*f. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.809 + -1.579. What is the second biggest value in 0, i, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/30641 (c) -1204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c - 158*c = -12*c + 344*c. Factor -1\/3*j**2 + 0 - 1\/3*j**3 + c*j.\nAnswer: -j**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 260.8647nm?\nAnswer: 0.2608647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i*(i\/i**(3\/2)*i)\/i)\/i)**(-2\/11)\/(i\/((i**(-3)\/i)\/i)*i*i**(2\/3)) assuming i is positive.\nAnswer: i**(-262\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 165, 354, 555, 774, 1017?\n\"Answer: a**3 + 182*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6997700 and 7366.\nAnswer: 6997700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1443681 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Suppose m*x + 2 = -46. Let c = -2 - x. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -17*d - 7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 427 = w, 0 = 2*p - 4*p - w + 215. Let u = -4638 + 4652. What is the remainder when p is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -142*v**2 - 33*v + 33*v + 158*v**2. Let s(f) = f - 15. What is b(s(c))?\nAnswer: 16*c**2 - 480*c + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -22*a + 250. Let c(f) = f + f + 112 - 49 - a. Let h(x) = 3*x**2. Determine h(c(y)).\nAnswer: 12*y**2 + 156*y + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 0, 4*j + 142 - 54 = 4*t. Let d = 133 - 127. Calculate the lowest common multiple of t and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*l = 8278, -10344 = -40*x + 35*x + 3*l. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 14 = -34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -8*v + 11*v**3 - 170*v**4 + 8*v**2 - 14*v**2 + 173*v**4 = 0.\nAnswer: -4, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 2002\/(-2065) + -4. Let u = c + -238\/9735. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 3*u)*(2 + 7 - 5).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 9) to base 14.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75400 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.050936533 - 1516\nAnswer: -1515.949063467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 160. Let a be b(-34). Is -58 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:04 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3 - 2. Let a be j\/1*-6 + -1. Suppose -9310850 - 24189150 = a*s. What is s rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645860 divided by -4?\nAnswer: -161465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y)\/((((y*y*(y*y**2*y)\/y)\/y)\/y)\/y))**(-1\/13) assuming y is positive.\nAnswer: y**(3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1218*w**2 - 10*w + 4. What is the thousands digit of a(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 808\/9. Put l, -5, 2 in descending order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28573, 28454, 28335, 28216, 28097, 27978?\nAnswer: 27859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23384348.\nAnswer: 2, 13, 449699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15840*u + 77*u - 1938*u - 5560*u.\nAnswer: -23261*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 5*d**2 + 8*d**2 + 23*d - 19*d + 6*d**2.\nAnswer: 11*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r + 280 = 0. Let y = r - -124. Suppose 0*a - 3*a - 5*i = -44, -5*a = 3*i - y. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + f + 3. Let o be k(0). Suppose 0 = -o*n + n + t + 64, -3*t + 6 = 0. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/3424 (c) 3 (d) -0.4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - u - 4)*((4*u - 5*u + 0*u)*(4 + 3 - 5) + 4*u + 0*u - u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = -2*n. Suppose -4*x + 2*q = -94, n*q = -x - 3*x + 114. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5 - d**4\/12 + 2*d. Let s be i(1). Let z be 1\/((-3)\/2 + 2). Solve 11 = -z*x - 5*l, -3*l = -x - 4*x + s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 41 = 49 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:58 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/(-20))\/(2\/(-10)). Suppose b = 2*n - 4*r, -4*r - 13 = 5*n + 22. Let m(t) = t - 3. Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*q - 16, 2*q + 34 = -4*l + 14 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284 divided by 321?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 149*p - 608. Determine j(-145).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14636893 to the nearest integer?\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 9*d**2 + 10*d - 4. Give t(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -49*t**2 - 76. Let v(f) = -16*f**2 - 25. Suppose 10*z = 12*z - 22. Let s(h) = z*v(h) - 4*i(h). Find the first derivative of s(n) wrt n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-4 + 5 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7 + 5 = 0. Suppose -f*c - 11 = 109. Let y = c - -70. What is the highest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -220*z + 1557. Determine h(8).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45941, 91882, 137823, 183764, 229705, 275646?\nAnswer: 321587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2872*f - 2884*f - 5111 = -157859. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -0.04583\nAnswer: 0.4583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**8\/1200 + 23*k**7\/4200 + k**6\/90 + k**5\/150 + k**3\/3 - 3*k. Let o(n) be the second derivative of d(n). Factor o(j).\nAnswer: j*(j + 1)*(j + 2)*(7*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -77.96. Let h = 0.04 + s. Put h, 4, -0.1 in decreasing order.\nAnswer: 4, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(sqrt(120)\/(sqrt(294) + sqrt(6)))\/(sqrt(396)\/sqrt(11) - sqrt(4)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 7\/4, 45, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*c = 2*c - 21, j = 2*c + 9. Let a(t) = -22666*t - 2. Let p be a(j). Round p to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -7\/6. Let l = 1038381 - 825512582\/795. Let t = l - -1\/159. Which is the closest to s? (a) -3 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 - 0.56. Let q = -121 + 86. Let p be (28\/q)\/(70\/(-25)). Put -4, 3, f, p in descending order.\nAnswer: 3, p, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8 + -0.8. Let z = 1 + x. Put 2\/5, z, -0.5 in ascending order.\nAnswer: -0.5, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/474 or 0?\nAnswer: 11\/474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 0)*(3 - 6 - 1)*(-3*r + 8*r - 8*r) to the form g*r + j and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7318758203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7511207 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c. Let s be (-65)\/(-7) - (-24)\/(-84). Let i(w) = -w**2 - 3*w**2 + s*w**2 + 3*w**2. Calculate i(u(v)).\nAnswer: 128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6231, 6438, 6775, 7236, 7815, 8506, 9303?\n\"Answer: -j**3 + 71*j**2 + j + 6160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 3748378, -1 in decreasing order.\nAnswer: 3748378, 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x - 32. Let z(d) = -2*d. Let h be z(x). What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4*b + 1. Let k be o(-5). Let u(i) = -4*i - 6. Let m be u(k). Let q = 16 - m. Solve -3*s + 0 + q = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = l + 16 - 1, 6 = -2*w + 3*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10802 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*l = 368, -3*l + 196 = 2*i + 2*l. 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 m be 182\/(-2) - -8*(-17)\/(-68). What is the nearest to m in 0, 0.3, -3.4?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12652 - -4?\nAnswer: -12645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2687*v + 5. What is m(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - 0.46. What is the second biggest value in -2\/25, u, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*w + 10, -5*h + 0 + 10 = -w. What is the tens digit of -21*h\/(-3)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10*m**2 + 4*m**4 + 8*m**2 - 6*m - 2*m**3 + m**4 - 4*m**4 to the form h*m + f*m**2 + a + k*m**3 + v*m**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o + 9. Let a = 143 + -128. What is the smallest common multiple of u(0) and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*l - 220195, -37*s = 3*l - 32*s - 220186. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81277.9 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/9 - 40*t**4\/9 + 44*t**3\/9 + 520*t**2\/3 + 338*t.\nAnswer: 2*t*(t - 13)**2*(t + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.568 and -15355154.\nAnswer: -15355157.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:38 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) + (-20)\/(-9). Suppose -21 = -b - u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.073 - 0.027. Let r = -726\/895 + 2\/179. Which is the third biggest value? (a) 2 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021011201220 (base 3) to base 13.\nAnswer: -1a7243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/((-15)\/(-40)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxc when three letters picked without replacement from xcefecc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10\/(-25))\/(3\/45)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 315234, 630712, 946190, 1261668, 1577146, 1892624?\n\"Answer: 315478*o - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65080 divided by 4.\nAnswer: 16270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n - 6*n + 43*n**2 - 48*n**2. Give f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 57*j**2 + 3*j - 87. Let n(f) = 2055*f. Calculate x(n(z)).\nAnswer: 240712425*z**2 + 6165*z - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**4 + 11*v**4 + 3 - 2 + (2*v - 3*v - 3*v)*(-3 + v**3 + 3) as a*v**4 + j*v**2 + s + q*v + l*v**3 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.8092 - -1.0752. Let l = i + -0.066. What is l rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42775.44 seconds to minutes.\nAnswer: 712.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8843 - -3.884319467. Round s to seven decimal places.\nAnswer: 0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (261\/18)\/((-3)\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -122, -181, -240?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fiffffrfriifii?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - -31. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 1149.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19526*t - 19502*t - 1 + 39049*t.\nAnswer: 21*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 - 27900467*m - 111601884 = 0.\nAnswer: -4, 27900471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dss when three letters picked without replacement from {d: 15, s: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3, 2*t - 7 = -3*y + 2*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 = 2. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4808 and 6611?\nAnswer: 52888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 + y. Let j(t) = -3*t**3 - 6*t**2 - 8*t. Let h(z) = 2*f(z) + j(z). Let m be h(-3). Let d = 6 - m. Sort d, 3, 2 in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 10*q + 3)*(-4*q + 4*q - q) - 2*q**2 + q**2 + 0*q**2.\nAnswer: -11*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -505244 (base 6) to base 15\nAnswer: -bd0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (sqrt(425)*2*-1)**2.\nAnswer: 5*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-27) + (-772)\/18. Let b = -13 - j. Is (-39)\/2*(-20)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113464560 divided by 440?\nAnswer: 257874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/14)*y\/y**(1\/6)*y)\/((y**0\/y)\/y*y*y**(2\/19)*y*y) assuming y is positive.\nAnswer: y**(319\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.8249 decades to months.\nAnswer: 93578.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 2715603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -4 (c) -1\/8 (d) -2356 (e) -4\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9909*i = 9891*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 12. What is y(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*x = 2, -728*x + 22 = -4*c - 709*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64488241\/7124 - 36209\/4. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2834 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26316 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2087 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146804\/11 or -13346?\nAnswer: -13346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 11*b**2 + 13*b - 24. Let w be z(10). Suppose 3*g - w*g = -12. Solve g*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4248.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (2\/(-5) + 7305\/450) and 109\/102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 1. Let u be (12\/(-225))\/(z\/(-10)). Let w = 607493\/9 - 67499. Which is the nearest to -1? (a) u (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o)*(o**3 + 2*o**3 + 6*o**3) + (-o**2 + 0*o**2 + 0*o**2)*(2 - 13*o - 3*o**2 + 13*o).\nAnswer: 12*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-280)\/3 - 0)\/(1\/12). List the prime factors of (p\/640)\/(2\/(1 - 489)).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 2) + -5 - (1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 1, u: 3, f: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1402582, 1402561, 1402530, 1402495, 1402462, 1402437, 1402426?\n\"Answer: y**3 - 11*y**2 + 5*y + 1402587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5307 + 5307. Solve -4*t - 10 = -j*y + 2*y, -2*y = 3*t + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2252*v + 5919*v**2 - 1726*v - 6046*v - 490*v wrt v.\nAnswer: 11838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 70 = -29*o + 35*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y - y)*(3*y**4 + 0*y**4 + 3*y**4) + 2*y**5 + 0*y**5 - 5*y**5 + (0 + 0 + 2*y)*(2*y**4 + 0*y + 0*y).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s - 3*h + 4758 = -90*s, -2*h - 4768 = -4*s. List the prime factors of s.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19 - 10 + 46 - 3 + 7*u. Let g be i(-6). What is the third derivative of g*v**2 - 11*v**4 - 26*v**4 - 23*v**2 + 6*v**4 wrt v?\nAnswer: -744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57304 by -754.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*h + 1 = 0, -3*a + 2*h - 7*h = 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.308633 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**5 + 9*i**3 - 2*i**5 - 2*i**3)*(0 + 1 + 0)*(-3 + 5 + 3).\nAnswer: 10*i**5 + 35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1461 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2340)\/(-280)*-7*(-16)\/(-18)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1578956 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -22. Let l = q - -7.25. Let w = 0.182 - l. What is w rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21042.5 to the nearest 100.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 2, b: 6, r: 6}. Give prob of picking 3 r.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 1200 = -3607. What is the greatest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*v + v**2 + v**2 + 492*v - 255*v = 0. Calculate v.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*g - 49*g - 8. Let c(v) = 191*v**2 + 101. Let b(w) = 383*w**2 + 202. Let t(l) = g*b(l) + 7*c(l). Differentiate t(y) wrt y.\nAnswer: -390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 + 26*h - 4. Let o(w) = w**2 + 5*w - 1. Let g(f) = -11*o(f) + 2*z(f). What is the units digit of g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3746 - 3134. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 589*h + 1947. Is q(86) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**3 - m**3 + 4*m**3)*(-166 - 253 + 2446)*(-3*m + 4*m + 3*m) to the form x*m**2 + t + r*m + c*m**4 + d*m**3 and give c.\nAnswer: 16216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 1127?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 964 - 1929 + 965 - 159*y**4 + (10 - 4*y - 10)*(-59*y**3 + 14*y**3 - 29*y**3) in the form m*y**3 + g*y + s*y**4 + w + c*y**2 and give s.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -5*a - 16. Let b = -18 - a. What is the remainder when 30 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 5*c - c + 4*c - 8. Let v be g(8). Put -5, v, -2 in descending order.\nAnswer: v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1253523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 441091667 rounded to the nearest one hundred thousand?\nAnswer: 441100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**10\/r)*r**(-10))\/(r**3\/r)**46)**12)**(-2\/3) assuming r is positive.\nAnswer: r**880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, -7, 2 in increasing order.\nAnswer: -7, 1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129745, -259491, -389243, -519001?\n\"Answer: -3*s**2 - 129737*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006386 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011111100101010000111101 + 1?\nAnswer: -11101011111100101010000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Suppose -4*j + 2*m = -74, c*j + 0*m = -m + 43. Calculate the remainder when 78 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156549133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let i(p) = 11048*p**2 + 69. What is i(z(x))?\nAnswer: 11048*x**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 1. Let y(v) = -4*v**3 - v - 3. Let o = 19 - 24. Give o*d(n) + y(n).\nAnswer: n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 131*f**2 + 67*f - 62. Let d be n(66). Let l(z) = -11*z. Let j(c) = -175*c. Give d*j(h) - 63*l(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (117 - 116)\/(2\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:23 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*i - 2, -2*i = i - 3. Suppose -2*x + 1 = -3*z - 0, d = x - z - 1. Let o(v) = -v**3 + 8*v**2 - 6*v - 2. Let r be o(7). Solve r*g + x = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/220*(-4)\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52455449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34549597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 799322.681 rounded to the nearest ten thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79155 + -51206. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 780914 = 73*v - 14*v - 1004957. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -513820*f**5 - 686791*f wrt f?\nAnswer: -10276400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/(-4))\/(6\/33). Find the common denominator of 13\/5 and ((-114)\/(-52))\/(33\/h).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:24 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64+-0.08\nAnswer: 63.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-33) - (-72)\/33. Suppose -6 = 2*p - 2*b, -5*p + 2*b + 2 = 17. Let z = 3 + p. Is z less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*k**4 - 32*k - 64\/3 - 4\/3*k**2 + 8*k**3.\nAnswer: -4*(k - 4)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1669? (a) -5 (b) -7 (c) 53 (d) 2\/5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50490 >= 50484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125246207 to the power of 1\/3, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 + (-136)\/(-24). What is the second derivative of -17*k - k**3 + k**3 - t*k**3 + 30*k wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 2, w: 1}. What is prob of sequence wwmw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567*x**2 + 771*x**2 + 807*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 (base 11) in base 12?\nAnswer: 1a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-24))\/(20\/(-6)). Let p = -2 + 1. Which is the second biggest value? (a) 3 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 36 = 3*f, -5*o - 7 = 2*f + 4. Let a = -13 + f. Let d be 4\/12 + (-22)\/a. Solve 0 = 5*k - d*k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/25 + -14\/25. Let t = 1.9 + 0.1. Let a = t - -3. What is the nearest to 1 in a, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40224 - 11247 + w**3 + 26183.\nAnswer: w**3 + 55160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 4, -4, -146, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/3 + w + 61. Calculate h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -77, -84, -91, -98?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322488\/90*(-30)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*f**3 - 47*b*f - 3*b + f**4 + 3 wrt f.\nAnswer: 3*b*f**2 - 47*b + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let n(w) be the first derivative of w**3\/3 + 138*w + 525. Give i(n(q)).\nAnswer: q**4 + 276*q**2 + 19044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*h + 13415 = -10866 - 4855 + 861 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -10. Suppose -3*a = 2*n - 3, -a = a + 2*n. Let f = a - x. Solve l = 5*w + f, 1 = 3*w - 3*l + l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 3, q: 4, y: 3}. Give prob of sequence yk.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5.7. Let r = -111438 + 111437. What is the closest to -92 in g, r, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-2\/13))*s**12*s*(s*s\/(s**(3\/4)\/s)*s)**(-5\/9) assuming s is positive.\nAnswer: s**(5167\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*f**2 + (-3*f - f + 2*f)*(f - 2*f + 3*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-40))\/(378\/(-315)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/30 + -14\/15. Let a = 3\/20 + n. Let -1\/4*w - 1\/4*w**2 + a + 1\/4*w**3 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3170134 is divided by 1056313.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1156 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 2*g**5 + g**5 + (g + 0 + 0)*(-2*g**4 - g + g) + 13*g**2 - 13*g**2 + g**5 + (5 - 1 - 2)*(-1 + 1 + 2*g**5).\nAnswer: 5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459, 2294, 7105, 16380, 31607?\nAnswer: 54274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6871 + -0.10287.\nAnswer: 6870.89713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 + 10*w - 1000 = 0. What is w?\nAnswer: -25, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3984 and 375160.\nAnswer: 2250960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 705570 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: In base 16, what is e8 - -c389?\nAnswer: c471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b9 - -10?\nAnswer: 5c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 60. Let b(w) = 2*w**2 + 57*w + 226. Let s be b(-4). What is the highest common factor of f and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 8. Let z(n) = -1. Let f = 29911 - 29897. What is f*z(m) - 2*q(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04524 and -0.42.\nAnswer: -0.0190008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 957 and 206799?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396 or -395?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 15 + 9)*((0 + 0 - v)*(v - 5*v - 3*v) + (4 - 3*v**2 - 4)*(4 - 2 + 0) - 2*v**2 - 3 + 3) as w*v + c + m*v**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3*d**4\/2 - 8*d**3\/3 + 4*d**2 - 15*d - 133. Let l(h) = -2*h**3 + 3*h**2 - 3*h + 5. Give -3*k(i) - 8*l(i).\nAnswer: -2*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 3\/1*(-820)\/(-510). Let s = n - 73\/68. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1246364, -2492739, -3739114, -4985489, -6231864, -7478239?\nAnswer: -8724614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6619 is divided by 276.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/60 - 2*b**5\/5 + 13*b**4\/24 + 17*b**3\/2 - 25*b**2 + 1. Does 5 divide o(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1357 times -396\nAnswer: 537372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3763 and 318.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062034 to 6 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30988, 247977, 837002, 1984081, 3875232, 6696473, 10633822, 15873297?\nAnswer: 22600916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 47*v**2 - 211*v - 9422. Determine i(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5568 and -79\/192.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -539368977*o**5 - 60955*o**2 - 2248*o - 1 wrt o.\nAnswer: -32362138620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 + c + 3. Suppose 3*v - 6 = -4*j, -4*v = -12 + 4. Give x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66768000 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 2960\/432)\/((-2)\/3). Find m, given that 8\/9*m**3 + 8\/9*m + 2\/9 + r*m**4 + 4\/3*m**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -4\/5, 5\/3, 1, 9, -0.5.\nAnswer: -4\/5, -0.5, 1, 5\/3, 9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*t + 1, 3*t + 1 = 4*y + 39. What is the smallest common multiple of t and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p - 6*p + 36*p)*(-8 - 3 - 4)*(1 + 4 - 3).\nAnswer: -1350*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2562 divide 238127652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1347 - -137. What is q rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a9 + b5?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*z = -1695 + 1487 - 2312. Let h = -263 + 575. Calculate the highest common factor of z and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261432851 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnxvnwnnn. Give prob of picking 1 x and 2 n.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1919 + 2009. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*a + 11761 + 2213 = 0 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 402*s**2 - 2*s**4 + 2*s**4 - 408*s**6 + 0*s**4 - 146*s**2 wrt s?\nAnswer: -48960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:50 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21) - (290\/(-35) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2066763451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 - 3b45?\nAnswer: -3aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*f*g**5*i - 2*f*g**4 + 2*f*g*i + 3*f*i - 18*g**3*i - 6*g**2 - 7*g wrt g.\nAnswer: 9600*f*g**2*i - 48*f*g - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*q**2*z**2 + 428*j*q*z - j*z**2 + 28*j - 193012*q**2*z**2 - 2*q*z wrt q?\nAnswer: -2*j*z**2 - 386024*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1360 and 4216.\nAnswer: 42160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((3*(3*sqrt(80) - sqrt(80)))\/sqrt(8))\/(-1*sqrt(128)*2).\nAnswer: -9*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 - 1\/60*q**5 + 0*q**3 - q**2 + 0*q - 1\/40*q**6 + 0*q**4. What is the third derivative of v(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4\/39, -1\/7, 16 in ascending order.\nAnswer: -1\/7, -4\/39, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*b - 9780 + 21601 = -56*b - 10879 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*j**4 - j**3 - 224*j wrt j?\nAnswer: 3588*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 - 7*w - 5*w**3 + 3 + 14*w**2 + 0*w**3 - 6*w**2. Let v be t(7). Solve v*u + n - 4*n = 15, -u - 4*n = 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/12 + p\/2 + 5\/12 = 0. Calculate p.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1573 and 91949?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 373*c - 16. Is i(3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o - 860 + 871 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (sqrt(228) + (sqrt(228) - 1*sqrt(228))*-1 + sqrt(228)) - sqrt(228) - sqrt(228) - sqrt(228)) + sqrt(228))\/sqrt(12))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l + 9, 3*w - 4*l - 65 = 0. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 6*f + 30 = -5*j, -11 = 4*f + 3*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.97*1.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 3*q**2 - 4. Determine c(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270673\/16 + 16923. Let h = -964 - -1570. What is the common denominator of i and 2 + (h\/(-4))\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 11\/2*h**2 - 6*h + 103. Differentiate l(s) with respect to s.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(-99)*18\/24.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8975700 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3091165823 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -73. Let l be (1\/(-1) - -1) + 0. Sort l, 3, v.\nAnswer: v, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -15, 4\/31, 5 in decreasing order.\nAnswer: 5, 4\/31, 0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068734323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/45 - -1\/495. Put c, -1\/137, 0.5 in ascending order.\nAnswer: -1\/137, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -54. Suppose -d + 2*x - 9 = -34, z*d - 2*x = 55. Let w = -2 - -4. Solve w*r - d = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*j = -82 + 47, 2*x - 18 = -3*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -205 - -207. Solve p*z + 2 = -0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12274589?\nAnswer: 19, 223, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.212629273 to 5 dps.\nAnswer: 0.21263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496495300?\nAnswer: 2, 5, 7, 709279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 23*t + 42. Calculate b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from llhjwhldllhzz?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from rrgg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 11*y - 18. Suppose -14*q + 3 + 81 = 0. Let o be v(q). Let 0 + o*z**3 + 16\/3*z**4 + 8\/3*z**2 + 0*z = 0. Calculate z.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzey when four letters picked without replacement from xxzeiyri?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 4*w + 2 - 10*w)*(-167*w + 190 - 389 + 200) as h + z*w**2 + i*w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*r**6 - a*r**2 + 311*a + 1712*r**5 wrt r.\nAnswer: 120*a*r**3 + 102720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 66*w**2 + 8. Let t(l) = 6*l. What is t(o(y))?\nAnswer: 396*y**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = -89 + 133 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 - n**2)*(-n**3 + 3*n**3 + 7*n - 5*n) + n**5 + 2*n**2 - 2*n**2 + (2*n**3 + 3*n**3 - 3*n**3)*(-n**2 + 4*n**2 - n**2).\nAnswer: n**5 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 198? (a) -38 (b) 5\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 3*p**2\/2 + 5*p + 3. Let d(r) = r. Let a(f) = 2*d(f) - u(f). Let n be (0 - 1)*(0 - 0). Determine a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c - 15 = 0. Suppose c*s = 9, 0 = -o + 2*s + 4 + 25. Let p = -19 + o. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -180, -181?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.185459m in nanometers?\nAnswer: 8185459000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**2 - 71*m**2 + 28*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose q + 5*t + 114 = -3*q, m*q = t - 128. List the prime factors of -2 + 0 + 3 - q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 41. Let j = 8 + -4. Suppose 0 = -j*z + 4*v + 7 - 3, 0 = 2*z + 2*v - 10. Put -4, g, z in decreasing order.\nAnswer: z, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 6, t: 12}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241993235, 241993232, 241993229?\nAnswer: 241993226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094 divided by 6?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 46*p**2 - 142*p + 11642. Give k(43).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -0.2, 0.07, -2\/5, -3 in increasing order.\nAnswer: -41, -3, -2\/5, -0.2, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h - 28. Calculate the remainder when l(-6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Let t = -1 + v. Suppose 0 = 2*x + x. Sort t, x, -4.\nAnswer: -4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/11 - 57654*g**2\/11 + 576390*g\/11 - 1440850\/11 = 0. Calculate g.\nAnswer: 5, 28817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 744115735691.955315 - 761198925814.95531353. Let q = b + 17083189976. Let i = q - -147. Round i to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)\/((w\/(w\/w**(-15)*w))\/w))\/((w**(-5\/3)\/w)\/(w*w*w*w**(9\/4)*w)) assuming w is positive.\nAnswer: w**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291227 is divided by 288435?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = v - 22 - 24, 4*v + 2*h - 164 = 0. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(2\/(1 - (-1 + -8))). Put 59, 0, -4, r in ascending order.\nAnswer: -4, 0, r, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.8. Let k = -126.4 + 126. What is the third biggest value in s, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -132. Suppose -x - 28 = -4*k + 2*x, 4*k + 2*x = l. Suppose k*j - 8160 = 6*j. What is j rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -58*b**2 + 0 + 0*b**4 + 1\/30*b**5 + 0*b + 17\/210*b**7 + 0*b**6 - 9*b**3. What is the derivative of z(r) wrt r?\nAnswer: 68*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39636 - -40042. List the prime factors of x.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0 + s**2 - 50*s + 50*s + 4. What is the tens digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 19*d - 80. What is b(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87334*1.\nAnswer: -87334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22200 - 213?\nAnswer: -22413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(432) - (sqrt(432) + -3))**2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1))\/o)\/o*o**(-1\/24) assuming o is positive.\nAnswer: o**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 13) in base 4?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrcr when four letters picked without replacement from {c: 1, v: 7, r: 2, m: 2}?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 11*k**2 - 2*k + 2. Let b be r(4). Let t = b - -56. Suppose 2833 = -u + t*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 g when four letters picked without replacement from {x: 2, g: 4, c: 5, y: 7}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1774122 divided by 33474.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyg. What is prob of sequence yg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/25 - 7\/1035. Let v = p - 7\/23. Let o be -6 + (-1 - -3) + 2. Which is the closest to -0.1? (a) o (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + -99 + (6 - 31)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2\/3*v**3 + 0*v**2 - 2*v + 3. Differentiate t(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**3\/6 + c**2 - 9*c + 5. Let p(m) be the first derivative of v(m). What is p(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55414 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65 and -0.077.\nAnswer: -65.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*h**3*j - 375*h**3 - 7*h**2*j - 10*h*j + 9*h - 8*j - 20 wrt h.\nAnswer: 108*h*j - 2250*h - 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**3 - 2*w**2 + 1. Give m(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 + 1789740*d - 3579468 = 0. What is d?\nAnswer: 2, 596578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*b - 64, p = 5*p - 4*b - 128. Suppose 6*h - 3*k = 2*h + 133, -2*h = -4*k - 54. Let n = h - p. What is the remainder when 18 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 639 and 710?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 0, 0*y - m = -4*y + 15. Suppose -4 = -2*i, -5*s + 5*i + 20 = -y*s. Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-205 - 177*c + 205)*(5 - 3 - 1) + 2*c - 2*c + 3*c)*(2*c**2 + 2*c**2 - 2*c**2).\nAnswer: -348*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57, -0.3, -4174, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-28)*8*((-12)\/8)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 342ed73 - -3?\nAnswer: 342ed76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.03 - 0.03. Let y = 6 - n. Let q be (3\/(-26))\/(15\/(-20)). Which is the nearest to -1? (a) q (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o + 4 + 9 - 12 + 3*o - o - 4*o + (0 + 0 + 2*o)*(-2 + 2 + 2) + (0 + 0 - 2*o)*(2 - 5 + 2) - 4*o + 3*o + 3*o - o + 0 + 0.\nAnswer: 10*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228598 is divided by 805.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 0 + ((-164)\/40 - -4). Which is the third smallest value? (a) w (b) 0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 29*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1. Let n(r) = -4*r - 2. Let l(w) = -c(w) + n(w). Let m be l(-4). Suppose -y + 4*h = -h - m, -y = -3*h - 15. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -3. List the prime factors of (48\/28)\/(j\/14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 + 6*p + 2. Let m(z) = -z**3 - 6*z**2 + 6*z + 2. Let l(n) = -3*m(n) + 2*s(n). Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 629*g**2 - 96*g wrt g.\nAnswer: 1258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (47372\/832 + -57)*(-499 - -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*r + 8, a + r + 1 = -a. Suppose -a - 4 = z. What are the prime factors of (-185)\/z*1\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**6\/360 - d**5\/60 - d**4\/8 - 2*d**3\/3 + 7. Let g(t) be the third derivative of c(t). Factor g(a).\nAnswer: (a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:21 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*q - 21*q - 19*q - 15*q - 69*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(156)*2)\/((sqrt(12) + sqrt(12)*-1)*-5 + (sqrt(300) - -2*sqrt(300))))**2*-1.\nAnswer: -208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d - 11. Suppose -17*s = 34*s + 255. Calculate c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4738 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*m**6 - 71*m**3 + 60*m**2 + 19 wrt m.\nAnswer: 6840*m**3 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -898 + 1457. Calculate the remainder when n is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104240126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 100, 152?\n\"Answer: 52*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*g = 8 + 1, 0 = 4*o - 4*g - 12. Let m(a) = -2 + 5*a + o*a - 8*a + 2*a. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (13 + -1)\/((-14)\/(-707)) is divided by 87\/((-36)\/(-4) + -8).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + (-47)\/2. List the prime factors of (2 + 8)*k\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -340*n + 339*n + 10. Suppose -4*t - 17 = -u + 4*u, -n = 5*t. Put 2, u, -17 in decreasing order.\nAnswer: 2, u, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 48 (b) -0.05 (c) -1 (d) 2 (e) 0.5 (f) 202\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 36) + -4 + (1 - -3) + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 93*d + 5. Let f(n) = -47*n - 3. What is 5*f(h) + 3*t(h)?\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, d: 1, a: 2, s: 1, g: 1}. What is prob of sequence dq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 10*m**4 + 5*m**3 - 10*m**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46288 and 39576240?\nAnswer: 39576240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1371.999997776 - -1372. What is w rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.123 + -0.023. Put 2\/7, 0, j, -2 in increasing order.\nAnswer: -2, 0, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147244 and 1973646?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 8*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2063138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*h**3 + 3*h**2*s**2 - 199949*h**2 + 2*h*s**2 + 557781717*s**2 wrt h.\nAnswer: 66*h + 6*s**2 - 399898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.818591nm to meters.\nAnswer: 0.000000008818591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 + 10*l + 8. Let t be h(5). Solve -t = 2*m + 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + 0?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-3))\/(1\/9). Let j = k + 6. Put 5, j, 3 in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.7 - -15.7. Sort c, -0.4, 10.\nAnswer: -0.4, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 5. Suppose 4*s - 26 = 5*h + 30, -h - 31 = -3*s. Let k(d) = 11*d - 11. Give s*l(c) + 4*k(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 8*z**2 - 2*z - 6. Let v be i(7). Suppose 6*f + 13 = 2*c + f, 0 = 3*c + 2*f - v. Calculate the highest common factor of 45 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20450473.4 and -0.4?\nAnswer: -8180189.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65\/5 + -12 + 5. Solve 31*m - 259 = -j*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.65 - -0.71. Sort 2\/15, k, -2, 3.\nAnswer: -2, k, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*g + 26, 2738*g - 2733*g + 2*o = 42 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(2 - 3\/2). Let u be -3 + z\/(-2) + 10. Put -2, u, -3 in descending order.\nAnswer: u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 - 11100?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -28*u**2 + 2*u - 2. Let c be b(2). Let s = c + 114. Solve 11 = -n - 2*h, 4*n - 2 + 34 = -s*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680 at most as big as 3\/479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/5, 13668 in ascending order.\nAnswer: 4\/5, 3, 13668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qriqhpx. Give prob of sequence rqxh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 4) + (1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/6 - 13*i**3\/6 - 26*i**2. Let n(u) = -5 - 4 + 2 - 2*u. What is 6*c(f) - 11*n(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from perrpper. Give prob of sequence perp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.389117 - -0.435357. Let a = t + 32.9. Let l = 0.053 + a. Round l to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -461\/13?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from gnngnggnnegnnngnnggn?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054*c**5 + 18788*c**4 + 35686*c**3 - 424192*c**2 + 583000*c - 89056 = 0. What is c?\nAnswer: -11, 92\/527, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 21806\nAnswer: 21810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 8*a**2 + 11*a - 24. Calculate k(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (18 - 28) - -1 - (0 - 29).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28396 and 4435.\nAnswer: -125936260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 5*y**2 - 2*y**2)*(0 - 1 + 2)*(-315*y**3 + 882*y**3 + 547*y**3).\nAnswer: 5570*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(-4 + 2*sqrt(1216)))**2.\nAnswer: -32*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + (24 - 29) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -84*y + 60. Let s be r(1). Is -3*67*80\/s a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**2*o + 26*g*o + 2*o + 1 wrt g.\nAnswer: 10*g*o + 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8211 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 123378543 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/3)\/(-2 + 4). Let a(s) be the third derivative of 0*s + 1\/20*s**6 + 0 + s**2 - 1\/6*s**3 + 1\/60*s**5 - 1\/24*s**h. What is a(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 + -23112?\nAnswer: -23314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*o - 2840 = 0. Let c = 58 - o. What are the prime factors of c?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200595 and 29856?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {y: 9, s: 3, q: 4, u: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + 54. Let h = p + -23. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -12.86 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 981 - 970. What is the smallest common multiple of a and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 60. Suppose -9 - o = -d. Let v = -21 - -41. What is the least common multiple of d and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(21 - 1). Solve h*a - 7 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261516648.\nAnswer: 2, 3, 47, 231841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3 - 340318*r**2 + 581*r + 71 wrt r.\nAnswer: 6*r - 680636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 9 - 2 = 5*g, v + 5 = -2*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let u be (-12)\/(-10)*60\/(-9). Let c(t) = -1 + 6*t + 1. Let i(a) = u*m(a) + 3*c(a). Let j(n) = 2*n**2. Give i(j(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:56 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46.8 - 54. Let m = -7.268 - f. Let h = m + 0.06685. Round h to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -77, 0.1, -2\/23, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*b = -4758, 2*a - 4*b - 2770 = 1946. What is the greatest common divisor of 120 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -4 (c) 2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1638 + -1063. Let q = -422 + a. Calculate the smallest common multiple of q and 30.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3)*(-10 + 48\/6). Suppose 7*n - 253 = -j*i + 6*n, -3*i = -5*n - 207. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28415578*-0.5.\nAnswer: 14207789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 116161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 275 = 0. Suppose l = -4*g + 135. Calculate the least common multiple of g and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3227913.54 rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 737 - 489. Is 45 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-1740)*(-8 - 159\/(-18)).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 5219?\nAnswer: 5227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 4*i**2 - 6*i + 16. Determine r(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.9 - -18.3. Let t be ((-12)\/2)\/((-6)\/(-4)). Which is the nearest to 1? (a) u (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 - -50) + 25 - -37?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**5 - 3 + 3)*(-2 + 2 - 5).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69695 and 38394055.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from {e: 8, q: 2, h: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 3*b - 2*p - 93, 2*b - 324 = -p. Let a = b - 75. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386004833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + -9 + 1 + -6. Let h(z) = 6*z + 4. Let d(y) = -2*y - 1. Determine g*d(a) - 2*h(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)\/(0\/5 + 1). Solve -2*h + 3*h - 5*k + 3 = 0, -3*h + 2*k - 9 = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/225 - -4733\/1800. Calculate the common denominator of 95\/22 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-42))\/(2\/(-176)))\/(((-4020)\/90)\/67).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + 0*a + 0*a - a + 4*a + (-2*a + 2*a - 2*a)*(0 - 1 + 2) + 2*a - 3 + 3 + (2*a + 0*a - 4*a)*(-1 - 1 + 0) - 4*a + 0*a + 2*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, 1.73 in descending order.\nAnswer: 1.73, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3639, -3633, -3617, -3585, -3531, -3449?\n\"Answer: l**3 - l**2 + 2*l - 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from cqntn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6433, 6436, 6439, 6442, 6445?\n\"Answer: 3*u + 6430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/105 - 4\/(-14). Let j = -3.15 - -0.15. Which is the nearest to 1\/2? (a) s (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2. Suppose -4*o + 6 = -f - 0*o, 4*f - 4*o = 0. Let p(c) = c**f - 46*c + 24*c + 22*c. Give p(r(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142\/57*(-8775)\/(-15) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 22*z**2 - 37*z - 69. Is q(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8920 and 495506.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12129058 * -0.4\nAnswer: 4851623.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 26. Suppose l + u - 140 = i, 0 = 2*l + 5*u - 354. Suppose -n + 189 - 10 = 4*g, -4*g - 3*n = -l. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -482541, -965089, -1447643, -1930203, -2412769, -2895341?\n\"Answer: -3*n**2 - 482539*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 4:10 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64186 - -57?\nAnswer: 64232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/10 + 31*m**2\/5 - 4911*m\/10 + 29304\/5 = 0.\nAnswer: -111, 16, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = w + 4*w + 25, 0 = -5*p - 25. Is 4 a factor of w + 177\/9 - 8\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:55 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 - 2271*m**2\/2 + 475527*m - 44436810.\nAnswer: -3*(m - 178)**2*(m + 1870)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umym when four letters picked without replacement from yemuyey.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = d - 15, -2*c = -7*c - 5*d + 35. Suppose c*i - 1306 = -242. What is the highest common divisor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 678?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1950 and 3313245?\nAnswer: 33132450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 32. Let b(c) = 3*c**2 + 5*c - 7. Let x(y) = y**3 - 14*y**2 + 15*y - 24. Let n be x(13). Calculate the remainder when h is divided by b(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52191354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03975 rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**42 assuming r is positive.\nAnswer: r**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 216 - 4623 = 0. Let f = -922 - w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9727 + 9724. Sort 10, 1, 2, j, -10.\nAnswer: -10, j, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0, -15.45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815071037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-38))\/(4768\/(-33972))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1351 + 12149\/6755. Which is the fourth biggest value? (a) 2\/9 (b) 0 (c) 1\/2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/63 - (-2)\/(-7). Let i = -18 + -1. Let w = i + 22. What is the closest to -1 in 0.1, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and -1161.\nAnswer: 6037.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3982630157.\nAnswer: 11, 733, 493939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 739489 and 3112?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 15, c: 5}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58253, -58242, -58231, -58220?\nAnswer: -58209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 2*y**2 - 3*y + 4. Let g = -31 - -2. Let n = g + 26. Determine h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 3560596?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -26114*f**2 + 66. Let p(n) = n. What is p(y(u))?\nAnswer: -26114*u**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49175039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knbsl. What is prob of picking 1 l, 1 n, 1 b, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 145, -83 in decreasing order.\nAnswer: 145, 43, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 15 = 3*w. Let s be ((-2)\/(-3))\/((-1)\/w). Let t be s\/(-11) - 184\/(-44). Solve t*l + 4 = 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18494981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 737166 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4026\/804 - 5)*4. Which is the nearest to 2? (a) 1 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*a - 364 + 376, -i + 2*a - 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 11. Let v be u(-5). Calculate the greatest common divisor of 341 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827?\nAnswer: 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 30953?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242.5 - 242. Let p be ((-2)\/10)\/((-1)\/(-2)). Which is the second biggest value? (a) p (b) -3\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*n + 314*n - 43*n**4 - 3*n**3 - 620*n - 2810 wrt n.\nAnswer: -516*n**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 372*b**3*k*m - 59*b**3*m + 749*b**2*m - 5*b*k - 4*k*m with respect to k.\nAnswer: 372*b**3*m - 5*b - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194292062 and 570?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 3*o, -4*o + 20 = 2*b - 0*o. Let z be b\/36 - (-86)\/18. Let a = 39 - 27. Solve z*d = 2*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - sqrt(5))*5)**2 + (sqrt(405) + -2)**2.\nAnswer: -36*sqrt(5) + 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*z**3 + 4*z**3 - 9*z**3)*(29*z - 24*z - 2 + 4).\nAnswer: 125*z**4 + 50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2190593533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 10*h + h + 2*h - h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4 - 253\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b828 (base 12) to base 2.\nAnswer: -101101011011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 816384606 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 82*y**2\/7 + 590*y\/7 - 750.\nAnswer: 2*(y - 5)*(y + 21)*(y + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 75*f - 9982. Let o be x(133). Put 1, -9, o, -13 in increasing order.\nAnswer: -13, -9, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(20))\/sqrt(4))**2 - (sqrt(15)\/sqrt(12))**2 - (2 + sqrt(405) + -1)**2.\nAnswer: -1549\/4 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**2 + 0*w**2 - 52*w**2 + 11*w**2.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*n**3 + 5860*n**2 + 191425*n + 42250.\nAnswer: 5*(n + 65)**2*(9*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 895*r**3\/3 + 1463*r**2\/2 - 148. Find the second derivative of k(x) wrt x.\nAnswer: 1790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9687036 to the power of 1\/2, to the nearest integer?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (84\/8)\/(0 - 28\/(-48))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 747442. Let i(p) = -57*p. What is g(i(r))?\nAnswer: -114*r + 747442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.41 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/4 + 12\/2. Solve 7*b = p*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**18\/n)\/n)*n)\/n)**(2\/3) assuming n is positive.\nAnswer: n**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 544\/24*3\/2. Suppose n*m = 33*m + 4. Find z such that -1\/6*z**m + 0*z**3 + 0*z + 1\/6*z**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -41, -127, -247, -407, -613, -871, -1187?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 711709.4 seconds?\nAnswer: 711709400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 10:31 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 4*w**2 + 3*w. Let i be p(3). Let y be (6 - (4 - 2)) + i. Let k = -3 + y. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17476 (base 8) to base 7\nAnswer: -32214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 - 237*x**3 + 5037*x**2 - 27987*x + 23184 = 0. Calculate x.\nAnswer: 1, 7, 23, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -98*z + 63*z. Solve z*x + 2*x = 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 929\/12 + -243\/4. Let q = p - 17. Which is the closest to q? (a) -0.2 (b) -10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 3\/2*q**2 + 1 - 3*q + 5\/3*q**3. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 11 + 1)*(10 + 4 - 2)*(0 + 2*s + 0) as q*s + j and give q.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.001 + 0.301. What is the closest to 1 in 1, c, -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1209 and 47\/26.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -29, 2, -3, 5, 21.\nAnswer: -29, -3, 2, 5, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 964083, 3855826, 8675403, 15422820, 24098083?\nAnswer: 34701198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.331 - 0.106. Let h = -199 + 198.963. Let w = a - h. Do 1\/8 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -3 (c) 0.245618\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g**2. Let q(c) = -2*c**2 + 3802. Determine q(i(d)).\nAnswer: -128*d**4 + 3802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1778480391 to the nearest integer?\nAnswer: 42172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-192)\/(-120)))\/((-3)\/4)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*g = -5*l - 13, -g = -4*l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 21. Calculate q(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 10 + 5. Suppose q = -l*q. Suppose 163 - 523 = -5*c - 5*t, -5*c + 5*t + 330 = q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:21 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 134 + -1 + 3 - (1 + -2). Suppose -6*g + m = 35. Solve -g = -5*d + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -33*w**2 - 2*w - 1. Suppose 5 = -1076*o + 1071*o. Determine g(o).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747497 to the power of 1\/2, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 5, r: 3}. Give prob of sequence ppp.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -69) + 1 + 5 + 0. Find the second derivative of 31*i**3 - p*i - i**4 + 14*i - 45*i wrt i.\nAnswer: -12*i**2 + 186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uurr when four letters picked without replacement from {m: 2, j: 5, r: 3, y: 2, c: 1, u: 7}.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + g - 1155 = 0, 1017 = 2*a + 2*g + 251. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (41 + 15 + -19) - 62.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 - 20*f - 9. What is l(8)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 27907125?\nAnswer: -27907121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 242*h - 1217. Calculate w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*c - 4, -16 = -4*g + 7*g - 5*c. Let l be (g + 14)*(-26)\/78. Is -50\/17 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55366 and 1175?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 642 and 2568?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -255, -849, -1765, -3003, -4563, -6445, -8649?\n\"Answer: -161*p**2 - 111*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 502 = 5*q, 0 = 3*q + v - 310. What is the common denominator of 1\/33 and q\/(-9) - 4 - 2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 16\/5 (b) 1\/2 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*t + 94*t**2 + 37*t + 38*t + 4*t**2 in the form z*t**2 + i*t + l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 101. Let w be 3\/(-21) + 119\/147*15. Does 5 divide x\/2 - (-6)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3 + 39*i**2\/2 - 14*i - 1. What is the remainder when 1*0\/(-3) - -269 is divided by v(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u. Let c(z) = 2*z**2 + 6*z - 6. Let g(l) = 13*l**2 - 8 - 9 - 7*l**2 + 17*l. Let j(s) = -17*c(s) + 6*g(s). Determine j(b(y)).\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240072 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**4\/4 + 8*d**3\/3 - d**2\/2 - 5*d + 10. Let v be n(-8). Put -6, v, 1 in descending order.\nAnswer: v, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*d**2 + 10*d**3 - 18*d**2 + 46*d**2 + 12*d as h + c*d + z*d**3 + f*d**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3)\/3) - -6. Suppose 21 + j = 4*o. What is the remainder when 13 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 55*c - 26. Give o(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -89. Let l = 10 - 9.9. Is u at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/17 + 2354*p**2\/17 - 4714*p\/17 + 2358\/17 = 0.\nAnswer: -1179, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-539 + 539 - 15*b**3)*(1 + 1 + 0)*(-3*b + b + 0*b).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-27)*18\/(-96)*4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96855 = -26*g - 27180 + 64381. List the prime factors of g.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10, 4*m + 8*u = 3*u + 30. Let b(h) = -h + 12. Let r be b(6). Solve 3*t + r = -0, -4*c - m*t - 26 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1495705, 2991547, 4487389, 5983231?\nAnswer: 7479073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*g**6 + 245*g**5 - 2*g**2 + 783*g + 26 wrt g.\nAnswer: -11760*g**3 + 14700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 468*c - 16550. Give b(-192).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 - 3296*t**2 - 16461*t - 19746 = 0. Calculate t.\nAnswer: -3291, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + 19*u**2 - 12*u**2 + 12573 - 12573. Let z(d) = -2*d + 678. What is h(z(w))?\nAnswer: 12*w**2 - 8136*w + 1379052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2426 - 2216. What is the lowest common multiple of i and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18185542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, o: 3}. What is prob of picking 3 o?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -3857, 2, 5 in descending order.\nAnswer: 5, 2, -4, -7, -3857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + -5 - -1)\/((-2)\/40). Let g = v + -34. List the prime factors of g.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*-2)\/(sqrt(88)\/(sqrt(32)\/sqrt(4))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/23)\/u**16 assuming u is positive.\nAnswer: u**(-364\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 174.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*225\/225.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in -18, -9, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1253553 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}