diff --git "a/data/dm_maths/full_data_2/10453_11255.jsonl" "b/data/dm_maths/full_data_2/10453_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10453_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 8.541779g to nanograms.\nAnswer: 8541779000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 246 = 2*d + 71, 3*p + 460 = 5*d. What is the remainder when 566 is divided by d?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828998 is divided by 6774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - (23 + -101 + 43)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20020 is divided by 9940.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2472, 1483, -174, -2505, -5516?\n\"Answer: -r**3 - 328*r**2 + 2*r + 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24370.\nAnswer: 2, 5, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 6.9. What is the smallest value in -0.4, -0.3, p, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -9. Suppose -6*j + a = -2*j. Factor -2*b**4 + 0 + 0*b + 4\/7*b**j - 10\/7*b**3.\nAnswer: -2*b**2*(b + 1)*(7*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 38 + 50)*(1 - 1 + q).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 429110.37 microseconds in hours?\nAnswer: 0.000119197325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 - ((4 - 7) + 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4 + 6*x**3 - 17*x**2 - 6*x + 16 = 0?\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 135774*g + 1536214923.\nAnswer: 3*(g + 22629)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j**4 - 15*j**3 - 38*j**2 - 3*j + 3. Let s(b) = -2*b**4 - 2*b**3 - b + 1. Let l(p) = d(p) - 3*s(p). Find the third derivative of l(w) wrt w.\nAnswer: 648*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3626)\/111 - (32 - 65)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.3. Let o be -1 - 2*3\/(-14). Let w = 7 - 8. What is the nearest to r in w, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 3. Let s be h(2). Suppose 4*x - s - 1 = 4*u, 5 = 3*u - x. Solve 6 - 13 = u*n + 5*d, 4*n + d + 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 18. Let c be g(15). Factor -8*w**2 - 3*w**4 - c*w**4 + 7*w**4 + 16.\nAnswer: (w - 2)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -207, -1588, -5315, -12558, -24487, -42272, -67083, -100090?\n\"Answer: -195*o**3 - 3*o**2 - 7*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, w: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29260 - -29262. Factor 10\/7 - 8\/7*p - 2\/7*p**j.\nAnswer: -2*(p - 1)*(p + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:32 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -154, -245, -336?\n\"Answer: -91*s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1044371 and 21?\nAnswer: 21931791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/60 + 17*o**5\/30 + 35*o**4\/24 + 25*o**3\/3 + 4*o**2 - 21. Let u be z(-16). Let q(g) = -2 - 4*g + 0*g + g. Give q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1834)\/1834)\/((-10)\/590)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 84. Suppose 3*a = 5*a - 16. Suppose -4*u + a + 0 = v. Solve 0 = 2*s - 0*s + u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(2*n + 1 - 1) + n + 2 - 2 + (1 - 10 + 0)*(-n - n + 0*n) as v + u*n and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -18*u**2 + u - 1. Let a be p(1). Let i be ((-78)\/a)\/((-1)\/(-24)). What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -z + 3*m + 17, -2*z - 6 = -2*m. Suppose -6*f = -z*f + 24. Sort 4, 3, f.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*p - 119*p + 195*p. What is the closest to p in 251\/4, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 332 = -2*t + 331, -4*t + 4 = 0. Let i(z) = 12*z**3 + 4*z - 4. Let a(f) = f - 1. What is s*i(c) - 4*a(c)?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -44. Suppose -4*q + 8 + x = 0. Solve -2 = p - 5*j, 0*p + q = -3*p - 5*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 2*f - 10*f - 76 + 5*f to q*f + j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.9 or -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 258648*t**2 - 54765960*t - 2901404864.\nAnswer: -2*(t + 106)**2*(t + 129112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(25)\/sqrt(5)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2. Let z(t) = -92*t. What is l(z(d))?\nAnswer: 8464*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 0, 38, 92, 156, 224, 290, 348?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let v be (54\/8)\/((-1)\/r). Let w = -15 + v. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2964 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/184 and -58\/161.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - i - 2*x - 13 = 0, 12 = -3*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 616456732 times -0.3\nAnswer: -184937019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3685 + -1335. Suppose 16*w + o = 21*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -17 - (18 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 763075705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -528\/5 + 106. Which is smaller: r or 0.076?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -41.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 12:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149\/110 + 1\/10. Let y = k - 36\/55. Let s = -4.04 + 0.04. What is the third smallest value in s, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:54 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -16*w + 104 - 22 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 5\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*q - 19, 28*l - 3*q - 16 = 26*l. Let z(y) = -6*y + 53. Determine z(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1217*k + 688*k + 5 + 2 - 9.\nAnswer: -529*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 4:21 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7114155*z + 6410701 wrt z?\nAnswer: 7114155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 827828291*s**4 - 7*s**2 - 1910060?\nAnswer: 19867878984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1332434 is divided by 8824.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 15) to base 9\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17)*4 + -4.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -24, -37, -50?\n\"Answer: -13*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -98*i + 121. Let p(r) = 199*r - 242. Let v(h) = 3*p(h) + 5*z(h). What are the prime factors of v(11)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 8*h**2 - 67*h + h**2 + 28*h.\nAnswer: 15*h**2 - 39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*t + 22*t - 7*t)*(-7 + 0 + 4).\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 37619032?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**3 + 1085*t**2 - 10821*t - 177. Determine v(79).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 2294.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20349 + 20249. Which is the fourth smallest value? (a) -0.1 (b) 0.4 (c) -0.5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -7.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*j**2*u**3 - 2*d*j**2*u - d*j + 2*j**2*u**3 + 9*j*u**3 + j*u**2 + j*u wrt u.\nAnswer: -18*d*j**2 + 12*j**2 + 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 17358297*g**2.\nAnswer: -3*g**2*(g + 5786099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 9:30 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-171)\/9)\/(((-54)\/(-18))\/3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -g - 0*g + 44, 4*g = 3*v - 8. Solve 5*p - 33 = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144382 divided by -5?\nAnswer: -144382\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5, 0.4, 2\/9, -249702?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (17 - 48)) + (-4 - (6 - 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 + 11*x + 4*x + 103 + 2*x**2 - x**3 to l + a*x**3 + p*x**2 + b*x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912275 by -91.\nAnswer: -10025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*d + 17. What is the tens digit of d + -1 + 3 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:21 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 23933026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45120193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83a6a3 (base 12) to base 2.\nAnswer: 111111001101001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0 + (-6 - -5). What is the second derivative of 13*s**x - 3*s - 13*s**2 - 5*s**4 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -20446.\nAnswer: -36\/10223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 459953 and 106143.\nAnswer: 1379859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -126 - -55 - -45.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*s + 18, 4*s + 19760 = 5*g. Calculate the remainder when g is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904027?\nAnswer: 3, 7, 61, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 16. Let l be a(-8). Suppose 14*g = l*g + 1440. Calculate the highest common divisor of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n, -1081 = -3*h - 3*n - 301. What is the smallest common multiple of h and 78?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 535*n**2 + 267*n + 269. Give s(-1).\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -103*c - 380*c**2 + 82*c - 144*c**2 + 21*c. Let b(p) = -2*p. Calculate r(b(g)).\nAnswer: -2096*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8000 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2523 is divided by 1072?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 15*y - 2 = 0. Put 2, -119, y in descending order.\nAnswer: 2, y, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27426 and 12768.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 27*s. Let v be w(2). Let z = v - 34. Solve g = 6*g - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 42 - 198*i**2 + 36 to the form m + t*i + o*i**2 and give o.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 416, 651, 882, 1109, 1332?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 192 = 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 f = -0.83 + 0.8299949. What is f rounded to seven dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(1\/4). Let c(b) = -5*b + 0*b - v*b. Let q(g) = 398 + 468 + g + g - 866. What is c(q(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176959968 is divided by 4033?\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4222 - -948. What is u rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 + 3134 = 99*s - 1390 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.388 and -1147.\nAnswer: -1134.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 381447099 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -4*z - 4, r - 10 = 3*z. Let w be (-22)\/(-6) + (-2)\/3. Put r, 2, -17, w in increasing order.\nAnswer: -17, r, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1780.58244 to zero decimal places.\nAnswer: -1781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m - 5. Suppose 2*z - 12 = 2*l, -5*l = 4*z + z - 40. Calculate the least common multiple of u(z) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-25 - 2 - -22)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = 2*m - 6*m, 2 = 2*m + o. Suppose 5*y + 5*f = 46 - 1, -m*f = -3*y + 51. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1503, 3000, 4497, 5994, 7491?\nAnswer: 8988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972356 is divided by 205.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + 0.9. Let w = t - 2. Let m = w + 0.6. Is m >= 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4401 is divided by 515?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -515624 (base 8) in base 11?\nAnswer: -107444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65922 - 2273?\nAnswer: 63649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 2*(-3)\/(-8). Let l be (-52)\/12 - (-6)\/(-9). Let g = -16 - -16.2. Sort l, g, y in ascending order.\nAnswer: l, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(704)) - sqrt(704)) + (sqrt(704) - (1 + sqrt(704) + -1*sqrt(704) + sqrt(704))) - (sqrt(704) - (1*sqrt(704))**2*-2)*-1.\nAnswer: 8*sqrt(11) + 1407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.211 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33810 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -67. What is the greatest common divisor of 126 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*m + 14, 3 = m - 3*q - q. Let x be (-4 - 44\/(-4)) + 8*(0 + -1). Sort -3, 36, x, m in ascending order.\nAnswer: m, -3, x, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4120183 centimeters?\nAnswer: 4120.183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 58, -5, 0, 6, -1 in ascending order.\nAnswer: -5, -1, 0, 6, 13, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/13, -10 in descending order.\nAnswer: 4\/13, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d - 97. Suppose -4*a + 0*a = 0. Let f be j(a). Let p = f + 183. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*b*k**2*y**2 + 42555*b*k**2*y - b*k*y - 125*b*y**2 - b*y + 125*k*y - 1 wrt k?\nAnswer: -222*b*y**2 + 85110*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1236007 and 1236008 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269825, 270281, 270737?\nAnswer: 271193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**2 - 5. What is t(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 + 9*w - 14. Let y be u(7). Sort 5, 4, 17, y in descending order.\nAnswer: 17, 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/261 and -113\/1392.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 12*l**2 - l - 6. Let n be u(-12). Suppose 2*j - n*j + 23 = -3*b, -4*j = -4*b - 24. Which is greater: -2\/13 or b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.11 (c) -2046 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2688 and 66.2?\nAnswer: -17.79456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197131514 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - 2*k - 7. Let y be i(-6). Suppose -97 - 18 = -y*j. Find the first derivative of -z**2 + 2*z**2 - j + 21 wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (18 - (24 + (3 - 10)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:34 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72963 - 341*h + 6*h**2 - 4*h**2 + 8645 - 467*h + 0*h**2.\nAnswer: 2*(h - 202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/56 - 2\/(-84). Let d(x) be the third derivative of 1\/3*x**3 - 2*x**2 + 0*x + 0 - 1\/12*x**5 - h*x**4 - 1\/120*x**6. Give d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 381\/10 - 239\/6. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 7:14 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + ((-6 - -20) + 40 - (-12 - 5)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + k + 9. Let a(p) = 6*p**2 - 5*p - 73. Let v(w) = -a(w) - 8*d(w). Let h(c) = -3*c**2 + 3*c - 2. What is 4*h(r) + 5*v(r)?\nAnswer: -2*r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1150844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -451850, 5 in increasing order.\nAnswer: -451850, -7, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.568, -158, -0.3 in decreasing order.\nAnswer: 0.568, -0.3, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.738826 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18.15 and 0.4.\nAnswer: -17.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*g - 3, 4 = 2*u - 4*g - 2. Suppose -u*y + 4*y - 4*s - 2 = 0, -2*y + 4*s + 8 = 0. Differentiate n**4 - y - 5*n + 5*n + 2 wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935170.\nAnswer: 2, 5, 29, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 896*w - 42 - 950*w + 11 + 3.\nAnswer: -1846*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f*k - 5*f*q - f + 3*k*q - 7*k wrt f?\nAnswer: 6*k - 5*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 11*j**4\/12 + 2*j - 13. Let y(h) = 4*h**2. Calculate u(y(z)).\nAnswer: 176*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263*s - 44462 = -317*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28826 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, -3053604 in ascending order.\nAnswer: -3053604, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 11*d - 713 = -336 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 71*c + 73. Let r(m) = m + 1. Let x(j) = g(j) + 5*r(j). Let b be x(-1). Solve -4*y + 0 + 2\/3*y**b = 0 for y.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 9*m + 15. What is x(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -r - 17, p + 9 - 30 = -2*r. Calculate the smallest common multiple of 9 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15873288 + 8*m + 15873288.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15144*p + 1 + 43836*p + 65659*p - 1.\nAnswer: 124639*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38445475.\nAnswer: 5, 1537819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(72)).\nAnswer: -12*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.099 + -2.101. Let v = n + 1.8. Which is the third biggest value? (a) 3\/4 (b) 5\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222714*c**2*f - 51*c*f - 2*c + 30*f - 8 wrt c.\nAnswer: -445428*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 3. Let b(y) = 3*y + 2. Suppose 1 = -10*c - 49. Calculate c*b(r) - 4*u(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191\/56 + 25\/8. Let j be (-1)\/((-4 - 5)\/3). Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -1502, -3473, -6244, -9821, -14210, -19417, -25448?\nAnswer: -32309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1896 and 40\/6399.\nAnswer: 51192","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let w(x) = -104*x + 11981. Give w(116).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44203922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*m + 40821 = 161*m - 35913. Calculate the greatest common factor of m and 4524.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 1\/3*k**6 + 115\/2*k**2 + 288 - 33*k**4 + 0*k + 0*k**3 + 0*k**5. What is the second derivative of v(w) wrt w?\nAnswer: 40*w**3 - 792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**2\/2 + 16*d - 3. Is 6 a factor of c(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4\/7 (b) 0.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268666 and 150.\nAnswer: 20149950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 + h + 31. Let r(d) = -d**3 + 14*d**2 - 15*d + 26. Let b be r(13). What is x(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*d - 15, 2*d = 3*s - 6*s - 4. Let m be 1\/(2 + (-14)\/8). Let v = -3 + -1. Sort m, d, v.\nAnswer: v, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 22. Let m be ((-90)\/20)\/((-1)\/(-2)). Let z be f(m). Solve -2 = k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1340133432 (base 5) to base 14\nAnswer: 658a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.9. Let f = w + -0.1. Let m = 93 + -281\/3. Is f equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 35 = 13*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 23 = -v + 6, 3*v = -5*q - 21. Let m be (2 + v)\/3 + 6\/(-2). Suppose -4*i + 20 = 4*j, -7 = 3*i - 4*j - 1. Put i, 4, m in decreasing order.\nAnswer: 4, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + q - 1. Let r(h) = h**3 + 4*h**2 - h + 2. Let z(m) = -3*i(m) - r(m). Suppose 46*n = 44*n - 4. What are the prime factors of z(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 125, 204, 283, 362?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -111?\nAnswer: -4\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 87789352?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (0 - (5 - 4) - 4) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6 + b + 15*b + 0. Let j(k) = 4*k**3 - k**2 + 2*k - 1. Let r be j(1). Does 20 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2*1\/2. Let w(b) = -11*b**2. Let h(u) = 17*u**2. Let c(x) = -5*h(x) - 8*w(x). Is c(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -123*q. Let g(b) be the third derivative of b**4\/12 + 3*b**2. Calculate m(g(t)).\nAnswer: -246*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -2 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:46 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {b: 5, x: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s - 53 = -396*s + 272. What is the closest to s in -1\/3, -1\/8, -0.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**4 + 3*j**4 + 3*j**4 + (-3*j**3 + j**3 + j**3)*(-4*j + 0*j + 2*j)*(3 + 1 - 2) to f*j**2 + s + n*j + i*j**4 + c*j**3 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/480 and 83\/374655.\nAnswer: 11988960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.0339\nAnswer: 0.1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 + 6*x**2 - 7*x - 4. Let p(v) = 2*v**2 - 2*v - 45 + 88 - 44 + v**3. What is 2*d(k) - 7*p(k)?\nAnswer: -k**3 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 17. Let w(u) = -u - 13. Let q be w(-6). Let g be d(q). Let v be 4 - (2 + g\/(-2)). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {v: 2, i: 7, e: 1, l: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 278732669 and 23441?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.03 (b) -2 (c) 0.5 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j. Suppose 5 = z, -2*d - 4*z = -0*z - 16. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 17. Calculate the greatest common divisor of l and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/27 - 4\/(-3). Let q(m) = 30*m - 16*m - 11*m + d - 6. Let a(z) = -z. Calculate -2*a(v) - q(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89724*w - 4*w**3 - 89724*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:33 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108262\/462 - 7\/3 and 32?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/(i*i\/(i**(3\/5)*i)))\/(i\/i**(1\/3)*i**(-2)) assuming i is positive.\nAnswer: i**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) 0 (b) 2 (c) 0.219 (d) 1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -s - 3, s = 5*r + 8 - 1. Let l = -10 - s. Calculate the highest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 37. Determine f, given that 3\/4*f**t + 3\/4*f - 3\/2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*r**2 - 168*r**2 + 85*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-672 + 672 + 20*v)*(6*v - v + 6*v).\nAnswer: 220*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z - 2. Suppose 0 = y - 4*y + 27. Let q(p) = 9*p - 3. Let o(b) = y*d(b) - 6*q(b). Let l(s) = -2*s. Give o(l(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 120594.88 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1988 and -537?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -529323665 by -1100465.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120994607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1016 and 3937.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -14*c + 22. What is f(10)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 - 332. Is (-11 - -9)*z\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.03, 4, 0, 113?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 161295904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*1*(1 + sqrt(720) + (sqrt(720)*2 + 0)**2 + sqrt(720)).\nAnswer: -57620 - 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15609151 times 54\nAnswer: 842894154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3*g**3 + 0*g**2 - 4*g**4 + 0 + 4\/3*g**5 + 0*g.\nAnswer: 4*g**3*(g - 5)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyvvggdsgggdgdgdd. What is prob of sequence gvd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173\/11 - -15732\/1001. Let n = -196 - -1374\/7. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + 3)\/3)\/1. Sort x, 2, 7 in descending order.\nAnswer: 7, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v - 3*v + 18 - 2*v + 2*v. Let x be w(-16). Is x\/6 - (-708)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4977496141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63449, 63425, 63401, 63377, 63353?\nAnswer: 63329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 471705362 to the power of 1\/2, to the nearest integer?\nAnswer: 21719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9286 - 9288. Let q = 0 - 8. Let g be ((-18)\/q + -2)*-6*a. Solve 0 = -4*p + 3*p - g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*l + 15, 5*k - 4*l = -l + 119. Suppose -h - k = -5*f, 2*f + 2*h = 7*f - 30. Solve 4*x - 6 = -2*q, 0*x = f*q + 2*x + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 9*i**3 + 158 - 435 + 277 + 10*i**3 - 25*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Suppose -s*q = -0*q - 32. Suppose 2*b - 2*t - 2 + 0 = 0, -b - t = -5. Solve i - q = b*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*s + 995*s**2 + 106*s.\nAnswer: 995*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100445 or -100440?\nAnswer: -100440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -3\/5?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 97. Let l(o) = 3*o + 279. Let r(x) = -3*l(x) + 8*v(x). Let p(t) = 2*t**2. What is p(r(i))?\nAnswer: 2*i**2 + 244*i + 7442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivbzr. Give prob of picking 1 z and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -5. Let p = -6 + r. Find the third derivative of -7*s**4 + 2*s**4 - 5*s**2 + 3*s**4 - s**p wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqmm when four letters picked without replacement from bqmqqcwmmb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54678.\nAnswer: 2, 3, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4))\/k**4)\/((k\/((k**(2\/5)*k)\/k))\/k)**24*k**3\/(k**(-1\/9)\/k)*(k**0)**(4\/5) assuming k is positive.\nAnswer: k**(662\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 75 = 3714*z - 3708*z, k - 10 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 26. Suppose 0 = 6*t - t + k. Is 7 a factor of (t\/((-12)\/(-35)))\/((-2)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 28748.29 centuries?\nAnswer: 2874829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/36 - 38\/6. Let f be (-1788)\/(-33) + g\/33. What is the greatest common divisor of f and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1159\/(-38) - -31)\/(1*(-1)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 14*f. Let v = 2 - 1. Let l be r(v). What is the highest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11005711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ney when three letters picked without replacement from uuuysesnlele.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 110, 0.1, -19\/306, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151786 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**6\/1260 + 41*i**5\/105 + 1681*i**4\/21 - 29*i**3\/6 - i**2 + 87*i. Let b(n) be the second derivative of q(n). Factor b(t).\nAnswer: 2*(t + 82)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -46. Solve 0 = -3*n - q*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 5:30 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 622587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 - n + 6. Suppose 21 = 3*s - 45. Calculate the remainder when s is divided by z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 4*y**4 - 2*y**3 - 12*y**2 + 9*y.\nAnswer: y*(y - 1)**2*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/6 - 1700*h**2\/3 + 3403*h\/2 = 0.\nAnswer: -3403, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = 17. Let j = -1.9 + 2. Let t = -0.3 + j. Which is the smallest value? (a) -0.5 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43475481 - 43476746.98193. Let k = t - -1266. Round k to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*c = 21, -5*c + 10*c = 20. Let f(z) be the second derivative of 8*z**2 + 0 + 3*z - 8\/3*z**q - z**4. Suppose f(h) = 0. Calculate h.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -213, -425, -637, -849?\n\"Answer: -212*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:46 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -39 (c) -2\/9 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 - 21*m**3 - 42*m**3.\nAnswer: -53*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(-1*sqrt(2)*-1))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144\/35 - -22\/5. Is 0.24 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131301230 - 3?\nAnswer: 131301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -22*k**3 + 2*k - 2. Suppose -4*o + 13*y = -44, 0 = 25*o - 30*o - 2*y - 18. Let s(x) = 1320*x**3 - 121*x + 121. Determine o*s(g) - 121*p(g).\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 181?\nAnswer: 4\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 1734856?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.02767 + 3.03. Round c to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -1087.\nAnswer: 1087.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 = -7. Let n be 2 - 7\/((-14)\/c). Solve n*f - 1 + 9 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164+56216067.9747\nAnswer: 56215903.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb (base 12) to base 7.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1 + 3 + 1 - j - 4. Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13105 is divided by 469.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 3*k + 3*w, 68 = -k - 2*k + 4*w. Let b = -38 - -22. Let h = b - k. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19442*l**2 - 30*l + 19. Let x(t) = -9721*t**2 - 15*t + 10. Let w(u) = 6*g(u) - 11*x(u). Let q be w(12). What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8. Which is smaller: h or -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 1. Let l(k) = -12*k - 2. Let x(g) = -3*l(g) - 5*s(g). Suppose -2*m = -422 - 130. Let n = m + -281. Let j(f) = -2*f. What is n*j(b) - 2*x(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -14. Suppose -5*n = -2*h + 15, -2*h - i*n - 15 = -n. Suppose h = -w - 7. Let a(s) = -2*s - 2. Let f(o) = o**3 + 7*o + 7. What is w*a(g) - 2*f(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:55 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22508 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 5. Calculate the remainder when q(-4) is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Suppose c + 3*r + 2*r - 33 = j, 4*r = 0. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 6*g**2 - 47*g - 19. Let n be b(6). Let t = n + -116. Calculate the lowest common multiple of t and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 - 249. Does 63 divide (3\/(-15)*s)\/((-32)\/(-5040))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19796, 19805, 19826, 19865, 19928?\n\"Answer: y**3 + 2*y + 19793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1. Let b(q) = -3*q + 6. Let z(c) = -8*c + 18. Let t(n) = -11*b(n) + 4*z(n). Give -5*d(h) - t(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10418*u + 20848*u - 10426*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*8\/(-84))\/((-9)\/21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2387 and 2695?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/5 - 89588*a**2\/5 - 501580812*a\/5 + 501670404\/5.\nAnswer: -4*(a - 1)*(a + 11199)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -371*p + 381*p - 980. Suppose 5*v = 5*q - 620, -3*v - p = -q + 34. What is the greatest common divisor of q and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let g = 3 - -1. Let y(q) = 2*q**2 - g*q**2 - q**2 + 2*q**2. What is z(y(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -29*z**3\/3 + 583*z**2\/2 + 625*z. Calculate k(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3 + 5)\/(-2))*2. Let z = 22.9 + -22. Let f = z + 0.1. Which is the closest to f? (a) -5 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034684776 to 4 decimal places.\nAnswer: -0.0347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 + 0*n + 133\/3*n**3 - 256*n**2 + 263\/24*n**4. Differentiate j(y) with respect to y.\nAnswer: 263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d - 10*d**3 - 6*d**3 + 218*d**2 + 90*d**3 - 4*d**3 - 1854*d**2 + 13*d**4 wrt d?\nAnswer: 312*d + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7070 + -15232?\nAnswer: -7152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31 + -42b?\nAnswer: -45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.6 + -32.8. Let q = 10.2 + -15. Let h = q + 5. What is the nearest to 1\/3 in m, h, -2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 24 = -20*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/12)\/((-15)\/10). Let a = -34\/9 + l. Let w = 83\/4 - 21. What is the nearest to -1 in w, a, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(14) + (sqrt(126)*-1)\/sqrt(9) - 1*sqrt(224))\/(4*-1*sqrt(700))*-5.\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5 + 13 = -4*j, 8 = -5*j + u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3042181 and -19.\nAnswer: -57801439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 90354619 and 271063861\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 191.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:27 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/24 + f**2. Let s(x) be the second derivative of -x**4\/12 + 6*x. Give s(a(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18\/299, -0.4, 3\/764?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**6\/((z\/((z**1*z)\/z))\/z*z)**(-38) assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -3 - (-6)\/(-11). Let n be (-11)\/(-7) + (-15)\/(-35). Suppose -n*f = -6*f - 8. Which is smaller: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1124 - -17?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 426735296 and 72.\nAnswer: 3840617664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((312\/36)\/13)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 666\/3663 - 0*(-2)\/2. Put h, 9, 11, -2\/11 in descending order.\nAnswer: 11, 9, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -555, -1110, -1665, -2220, -2775, -3330?\n\"Answer: -555*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(4\/2)*2\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 13*t - 32. Let h be c(4). Find the second derivative of 0*v**3 + h*v**3 - 3 - v - 75*v**2 - 3*v**3 + 50*v**2 wrt v.\nAnswer: 6*v - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3858 + -3820.66. Let d = c + -33.3352. Let f = 4 - d. What is f rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a - 815 = 1180 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/15*(7 - 2). Suppose f + c = 2*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 5. Let m be a(-8). Suppose -2*h = m*h - 1295. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42292*o**4 + 2*o**3 - o**2 + 79598*o wrt o?\nAnswer: 507504*o**2 + 12*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.1323 decades in years?\nAnswer: 8601.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-22) + -2 + (-45)\/(-22).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trzw when four letters picked without replacement from {z: 7, w: 1, r: 1, t: 4}?\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyyv when four letters picked without replacement from {y: 4, w: 1, v: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 6*m - 2 - 3*m)*(0*m**3 + m**3 + m**3) + m**4 + 5*m**4 - 4*m**4.\nAnswer: 6*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 31. Suppose 11 = 5*f - 4, 157 = 5*c + 4*f. Which is bigger: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + 240 = -4*z, -2*z - 680 = 3*t. What are the prime factors of (-25)\/10*t\/20?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/20 - 7*v**2. Let x(k) = 5*k**2. Give s(x(q)).\nAnswer: -75*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/2 - 29\/(-58) - (-24)\/6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2 - (-21)\/1?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 8*l**2 + 3*l - 22. Let j be k(8). Put -4, j, 1, 0 in increasing order.\nAnswer: -4, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from {p: 4, s: 1, z: 7, q: 3, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + 4)\/(-72)*-2. Let j(k) be the third derivative of 1\/3*k**4 - 5*k**2 + 1\/10*k**5 + 0*k + c*k**3 + 0. Let j(v) = 0. Calculate v.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 divided by -4?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**5\/120 - b**4\/4 - b**3 - 2. Let r(f) be the third derivative of d(f). List the prime factors of r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5*q - 13295*k**3*q + 2*k**3 + 15*k**2*q - 9*k**2 + 69*k*q + 2*k + 6 wrt k.\nAnswer: 120*k**2*q - 79770*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 0*f**3 - 14 + 11 + 2*f**3 in the form i*f + r + k*f**2 + t*f**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 3\/2, -0.139 in ascending order.\nAnswer: -1, -0.139, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 165220825 divided by 385\nAnswer: 429145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, t: 3, z: 6, f: 2}. Give prob of sequence tmmz.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 divided by 355?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/(-8) - -4)*-6. Suppose -d*c - 24 = -p, c = 2*c + 5. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2856*k + 2852*k - 5*j, 6 = 3*k + 3*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vlvvcvvcccvvvv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 794.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 2*k - 33. Let c be z(0). Let o = 77 + c. Let a = 43 - o. Which is smaller: a or -1\/25?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, a: 3}. Give prob of picking 3 n.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11252021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527997.\nAnswer: 3, 43, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*b = 226*b - 273 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/33)\/(144\/(13824\/112))\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 72*l**2. Let d(z) = -z**2 + z - 2. Let s be d(0). Let w(x) = 4*x + 18. Let y(g) = -g - 4. Let f(b) = s*w(b) - 9*y(b). Give f(v(t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 28.58*0.3\nAnswer: 8.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/19757384 and 31\/64.\nAnswer: 158059072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) -1\/3 (c) 675 (d) 6 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 35283*k**3 - 3*k**2 - 35290*k**3 + 4*k**2)*(-102 + 256 - 92) in the form w + l*k**3 + u*k + p*k**2 and give u.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-45)\/(-790)*(-334)\/1503?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 10*s + 29. Give k(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 - u**2 - 3*u - 3. Let i(q) = -q**2 - 5 - 3*q + 0 - q + 6*q**3 - q. Let o(c) = 5*b(c) - 3*i(c). Find the third derivative of o(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 116534, 233094, 349650, 466202?\n\"Answer: -2*k**2 + 116566*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c**0)\/(c**(-4)*c*c**(1\/5))*c*c**(-2)*c**(2\/7)*(c*c\/(c*c*c*c**(-2\/9)))\/c**(3\/7) assuming c is positive.\nAnswer: c**(2167\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c + 2. Suppose 2*h - 27 = -11. Let n be 2\/1 - h\/4. List the prime factors of q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.66 and 0.5?\nAnswer: 14.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14222*k - 14222*k - 6605*k**2 + 6599*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702.4172 hours to milliseconds.\nAnswer: 2528701920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.68 - -0.679951. Round s to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 3771*o**2\/5 + 4740147*o\/5 - 1986121593\/5.\nAnswer: (o - 1257)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 109243496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.478386 and -1?\nAnswer: 0.478386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n - 9. What is the remainder when i(-8) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342720 < 342722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 41 = 67 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*d + 1, 0*d = -c + 3*d - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 49*x - 47*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - (3\/((-18)\/32))\/((-1328)\/1992)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -702 + 1185. Calculate the greatest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-20))\/(0 - (-3)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3255108 divided by 1?\nAnswer: -3255108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/28320 and -9\/18880.\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**5 - 9*t**4 - 33*t**2 - 5 wrt t.\nAnswer: -420*t**2 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -125.1*7897\nAnswer: -987914.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 + 37*y**2 + 142*y - 1832. What is x(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(-25))\/((-642)\/(-2140)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -554487.24\nAnswer: -554522.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1397 = -r + 1394, -5*t + 4*r = -92. Solve y + 3*i = 7*i + 3, t = -4*y + 2*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3573317 to the nearest integer?\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5*l**3\/6 - 4*l. Let s(p) = 2*p. Let f(m) = 3*a(m) - 8*s(m). Let o(c) = 212 - 416 - 13*c**2 + 204. Give o(f(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.07 + -0.07. Let o = u + -21. Let t = o - -15. Which is bigger: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*j + 176*j - 2124 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 562 + -387. Let o be 0 - (-4 + 4 + -2). Suppose 0 = -o*j + 2, -j - r = -4*g + 4*j. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 + 4)*30\/15)\/(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -3*s**5\/20 + s**4\/24 - s**3\/3 - s**2. Let y be k(2). Is 8\/y + 335\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42419 < -42424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a week in minutes?\nAnswer: 48720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4928 + 4939. Sort q, -2, 1 in decreasing order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2619003733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzrzzreerrzr. What is prob of picking 2 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(78))\/sqrt(6))**2 + (sqrt(13) - (-2 + sqrt(52)\/sqrt(4))**2).\nAnswer: -4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 4838226*r - 14514696.\nAnswer: 2*(r - 3)*(r + 2419116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 5*h - 3. Let d(y) be the third derivative of -y**5\/60 - y**4\/6 + y**3\/3 + 8*y**2. Let x(q) = 5*d(q) + 4*g(q). Differentiate x(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214235171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -483\/2*m**2 - 961\/2 - 49\/2*m**3 - 1395\/2*m.\nAnswer: -(m + 1)*(7*m + 31)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 - -233.0187. Let a = -543.4813 - m. What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 2814.\nAnswer: 30954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*b - 46, 0 = -30*b + 29*b - 2. Let l(q) = q + 20. Calculate l(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17493 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59b72 + 1?\nAnswer: -59b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b269 + -3?\nAnswer: -3b26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 35. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/65 + 67\/(-13). Let p = f + 11. Suppose q = -2 + p. Solve -n - 2*n + 2*t - 2 = 0, 22 = 3*n + q*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-15))\/((-1)\/(-5)). Sort -4, w, 4.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.43618ml?\nAnswer: 0.00543618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + ((sqrt(68) + -1*sqrt(68) - sqrt(68))\/sqrt(4) - sqrt(17)))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25490, -204264, -689498, -1634420, -3192258, -5516240, -8759594, -13075548?\nAnswer: -18617330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*w - 467 = 0, 6*z - 5*w = 9*z - 481. What is the remainder when 1100 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 0.4, 3\/2, -0.182, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-75) - 6\/(-10). Let m be ((p + -5)\/12)\/(4\/6). What is the nearest to -3\/2 in m, -0.2, -2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -64 + 97 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b + 50 - 29 - 16)*(-2*b + 2*b + b**2).\nAnswer: 15*b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 259\/(-74)*(-472)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -52*w - 2. Let i be z(-1). Does 4 divide ((-36)\/(-30))\/(4\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. What are the prime factors of (4 - 3)\/(b\/6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1017*m + 1007*m - 2001*m - 529 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3751*t**2 - 2347.\nAnswer: 7502*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + q)*(2 + 1 + 1) + 0*q + 0*q - q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 19676117*q + 19676117*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1\/(1 + 0). Suppose 3*u = -16*u. Sort d, -3, u.\nAnswer: -3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*q + 0*q - 12 = 0, 0 = -3*a - 4*q + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 19. Let p be w(19). What is the tens digit of (-17)\/(7\/21*(p + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 768564, 768553, 768542, 768531, 768520, 768509?\n\"Answer: -11*v + 768575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 10449*v + 185 = -10452*v, 5*v + 127 = 3*y for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*h + 18, 0 = h + 4*f - 150 + 135 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 747526 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/t**(2\/19))*t*t*t**(-2\/27)\/t assuming t is positive.\nAnswer: t**(16\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 84*b + 17. Let j be r(-28). Suppose -10 = -k - 3*z, -3*k = -2*z - 2*z - j. Let q(a) = 2*a + a**2 - 6*a - 4*a. Determine q(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41354455 (base 8) to base 2.\nAnswer: 100001011101100100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.06 - 0.06. Let u = 2.9 - j. What is the nearest to -2 in 0.3, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-310)\/25 + 0 - (-2)\/5. Let h = i - -17. Let t be -1*(2 - (18\/h)\/3). Which is the closest to t? (a) -4 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -125, -192, -301, -470, -717, -1060, -1517?\n\"Answer: -3*b**3 - 3*b**2 - 37*b - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26710 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -9.478.\nAnswer: -9.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = -3*f. Let b = -0.08 + 2.08. Let d = -0.3 + 0.1. What is the nearest to 0 in b, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109863318 a multiple of 5673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/154? (a) 0.05 (b) 0.1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 80*j - 575. Calculate n(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.94 + 0.06. Let b = h + -3. What is the closest to 0.2 in -4\/5, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.003927 months?\nAnswer: 0.25032725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -495 - -579. What is the remainder when f is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5 + 5)*(-84*k + 372 - 372) + 2*k**2 + k**2 - 5*k**2.\nAnswer: -86*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/16, 3, 4, -3, 12\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c - 3. Let b be o(4). Let h = b - -157. Calculate the common denominator of h\/20*12\/(-9) and 65\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -158*k. Let h(s) = 308*s. Let f(c) = -246*c. Let x(o) = -5*f(o) - 4*h(o). What is x(l(p))?\nAnswer: 316*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, -2\/855.\nAnswer: -2\/11, -2\/855, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*j = -j + 14289737. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i + 3 + 6*i + i. Let d be w(-3). Let n = d + 17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9578226240 + 2\nAnswer: -9578226238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 305628 and 232589.\nAnswer: 538217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1440084 divided by 360021\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-222)\/(-42) - 6\/21. Let z(n) = n**3 - 3*n**2 - 4*n - 12. Let x be z(r). What are the prime factors of 4\/x + 291\/27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 190, -4 in descending order.\nAnswer: 190, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t + 5. Suppose 0 = 2*q + t, 0 = -3*l - l - 3*q - 7. Let u(m) = 104*m**3 - m**2 - m - 1. Let p be u(l). What is p rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46 - -0.6. Let q = 0.13997 - n. What is q rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrn when three letters picked without replacement from nnrrrrrrrn?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**3\/3 - 3*g**2\/2 + 3*g - 10. Determine z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:35 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 15*m. Let a(f) = 1179 - 1179 + 2*f**2. Determine a(u(q)).\nAnswer: 2*q**4 - 60*q**3 + 450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + t**2 + 2. Let n be w(0). Let b be 7 + (n - 1) + -2. Suppose 5*d - b = -o + 55, 3*d - 3*o = 33. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206088, -206089, -206090, -206091, -206092, -206093?\nAnswer: -206094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w - 23924. Let d = 3559 + w. Is 1\/4 - d\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -0.01 (b) -39 (c) 2\/5 (d) 4 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 2:30 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**6\/12 - 5*a**5\/12 - 17*a**2 + 18. Let i(d) be the second derivative of c(d). Find the third derivative of i(b) wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122100 - 11000211?\nAnswer: -10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 57. Let s be (q\/(-15) - -2)\/((-9)\/120). Which is smaller: 15 or s?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 0*z = -2*z + 12, -2*j + 4*z = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 87136368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 1*2*sqrt(1872) + -4*(sqrt(1872) + 0) + ((-5 + -2*sqrt(1872))*-5)**2.\nAnswer: 5976*sqrt(13) + 187829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20393 is divided by 207.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y**(-4\/9))**12*(y\/y**(-1\/3))**(-1\/4)\/(y**(2\/7)\/y)**(-8\/9) assuming y is positive.\nAnswer: y**(4139\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + 2*t, -t - 23 = -5*v + 2*t. Let n(f) = -f + 2. Let x be n(2). Suppose -v*z - i = -11, z + x*i - 8 = -2*i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-4))\/(3\/(-36)). Suppose 6*r - 104 = r + 2*u, 2*r = -5*u + q. Suppose -10 = 2*i, 5*i - i = 3*s - 47. Solve r = 4*d - s*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/100 and -15\/2334679?\nAnswer: 233467900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w**(-2)*w)\/w)\/w*w*((w*w**(2\/5))\/w*w)\/w)\/(w**(-2))**(1\/70))**(-2\/111) assuming w is positive.\nAnswer: w**(8\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.78 - 0.78. What is the second biggest value in -4, 4, -1, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 5, n: 1, i: 1, q: 2, m: 5}. What is prob of picking 1 i, 1 k, and 1 m?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/((-1)\/20). Suppose 234 = -3*l - 3*l. Let g = l - -42. Solve g*n + 20 = -2*a, -3*n + 8*a + r = 3*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/17 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32495*r**3 + 4370*r**2 wrt r?\nAnswer: 194970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22419 - 22428. Let s(v) be the third derivative of -v**5\/60 - v**4\/3 + 5*v**3\/6 + 2*v**2. Determine s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 1, v: 2, l: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 + 8 = 0. Suppose 156 = -a*y + 7*y. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1632\/(-36) + 2\/6. Let q = x + 81. Let u be (q\/(-7))\/(5\/(-35)). What is the greatest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2\/3*n**3 + 2\/3*n - 1\/3 + 1\/3*n**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -8. Is 11 a factor of (-6)\/n*1 + 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3990.14263 plus 0.441?\nAnswer: -3989.70163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22820, 2\/15, -47, -10?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at most 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -126. Let l be 4\/z + ((-3296)\/60)\/(-8). Let k(m) = -5 - 4*m**2 + l*m - 2*m - 6*m**3 - m. Let g(b) = -b**3 - b**2 + b - 1. Determine 4*g(r) - k(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**2 + 1)*(0 + 2 - 3 + (2 + 0 - 3)*(-3 + 7 - 3) + 1 + 3 - 6 + 0 + 1 - 5).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -12 + (-1 - -6) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 - 166 + 83)*(0*c**5 - c**5 + 2*c**5).\nAnswer: 19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + c = 6*d - 8, -2*d + 3*c = 6. Sort -3, 0, d, 9 in decreasing order.\nAnswer: 9, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 7754 + 25846. What is o rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -31*x**4\/6 + x**3\/3 - x - 83. Suppose o(q) = 0. What is q?\nAnswer: 0, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.98 (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -443 (b) -1\/5 (c) 1631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 126*k - k**2 + 319*k + 226*k in the form s*k + q*k**2 + j and give s.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose 0 = v*a - x + 4, -3*x + 17 - 5 = 3*a. Solve -p + 15 = 4*f - a*p, -4*f - 5 = 5*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b = -40*b + 40. Solve -7*i = -r - 2*i + b, i - 19 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 9*n = -10. Suppose d - n = 18. What is the lowest common multiple of d and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let h(l) = 7*l + 25 + 34 - 21*l - 3 + 254*l. Let o(f) = 27*f + 6. Let y(m) = 6*h(m) - 56*o(m). Give y(z(c)).\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 13*u - 33*u, -2*r - 1 = -0*u + 2*u + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27982873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 17, k: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d = -56*d + 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(65)*-1*-4)\/(sqrt(5) + sqrt(80)*4) + 1)*-2)**2.\nAnswer: 128*sqrt(13)\/17 + 7952\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2147*x + 33. Is w(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/5, -32, -4, 2\/29 in descending order.\nAnswer: 2\/29, 0, -4\/5, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -197*a + 128*a + 104*a + (a - 4*a + a)*(1 - 2 - 1).\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (37 + -37)\/((0 - -1) + 1). Solve -6*i + i + 5 = a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27167 (base 9) to base 6.\nAnswer: -221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 4*h**2 - 12*h + 17. Suppose 0 = -5*b + 5*n - n + 29, 2*n = 5*b - 27. Is i(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12141)\/(-456))\/(-71))\/(30\/5360)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 21 - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 7*i**4\/24 + i**3\/6 - 5*i**2. Calculate the remainder when w(2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102285563 and -0.2.\nAnswer: -20457112.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v + 4*q + 41, 7*v = 2*q + 43. Let k(o) be the third derivative of 1\/330*o**v + 0*o + 12*o**2 + 0 - 1\/132*o**4 + 0*o**3. Factor k(p).\nAnswer: 2*p*(p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-4)\/708*3). Let f = u - 20. Suppose 2*k - f + 17 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2)\/4*2. Let c be (i - 2) + -31 + -2. Let a(h) = 11*h**3 + 17*h**2 + 6*h. Let k(p) = -2*p**3 - 3*p**2 - p. Let w(m) = c*k(m) - 6*a(m). Factor w(n).\nAnswer: 2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -a + d - 6*d, 5*a = -3*d - 27. Let v(n) = n. Let q(k) = -1. Let c(p) = -5*p. Let y(l) = -c(l) - 3*q(l). Let f(j) = 3*v(j) - y(j). Determine f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*y + 3 = -y, -5*d - 4*y + 4 = 0. Suppose d = 5*g - 610 + 50. Suppose -6*n + 28 = -4*n. What is the highest common factor of g and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7293149\/198 - 36834. Calculate the common denominator of 103\/154 and u.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 6*s**3 - 2*s**3)*(s - s**2 - s + (-1 + 1 - 2*s)*(5 - 5 + 3*s) - 3*s**2 - 2*s**2 + s**2).\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqqqwpqiw. What is prob of sequence iw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-6 + -7 + 27) - -4 - 18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5440*i**2*k**2*o - i**2*k*p + 38*i**2*p + 2*i*k**2*p - k**2*o - 32*k*p - o*p wrt o?\nAnswer: 5440*i**2*k**2 - k**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**5\/3 + 695*z**4\/3 - 5205*z**3 - 1073495*z**2\/3 + 35377810*z\/3 - 93499000 = 0.\nAnswer: -148, -50, 19, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l**5\/7 - 496*l**4\/7 + 2514*l**3\/7 - 4526*l**2\/7 + 1822*l\/7 - 30 = 0.\nAnswer: 1\/4, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 + -1703\/11. Which is the third biggest value? (a) -4 (b) -2 (c) 0.5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10952.247 or 0.5?\nAnswer: -10952.247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 484\/(-2))*405\/2814. Let d = -242\/7 + o. Put -1, 1, d, -5 in descending order.\nAnswer: 1, d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26934357 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/171 in -3, -1, 1.55, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251952 - 165513 = -5*j. Suppose -3*h - j = 6507. Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtfthqzqjtf. What is prob of sequence tq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 0.28?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*a + 12 = 0, -3*n + 42 = -9*a + a for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t. Let q(l) = -99*l + 1371. Let w(d) = -33*d + 433. Let a(f) = -6*q(f) + 19*w(f). What is -2*a(y) + 5*h(y)?\nAnswer: -19*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 9:53 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*n + 77 = 0, 0*s + 4*s + 4*n - 148 = 0. Suppose a = -8 + s. Calculate the greatest common divisor of a and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/12 + 2*g**3\/3 - 2*g**2. Let o(c) be the third derivative of -c**5\/60 + c**3\/6 - 4*c**2. Calculate -4*o(s) + q(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:15 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/23 in 1\/4, 3, 3\/2, 681, 107?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/28*(-2)\/16*500\/(-1125)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:43 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291165 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 59910.50553 to the nearest ten.\nAnswer: 59910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198.894*-179.4.\nAnswer: 35681.5836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, 122, 3 in decreasing order.\nAnswer: 122, 4, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-32)\/(-80)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167 and 30?\nAnswer: 5010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - (47 - -4) - -45) + 6?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*3*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -853648 (base 9) to base 4\nAnswer: -1330000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 = -5. What is the units digit of f*8\/36*-57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -450 + 987. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(-84) - 12\/28. Let w(s) = -s + 1. Let u be w(0). Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -117502\nAnswer: 1\/58751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*i**3 + 795*i - 795*i.\nAnswer: -311*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.83641 rounded to one decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/78*-12*41\/3075.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 77. Find the common denominator of 37\/24 and -138*4\/g*2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + x)*(5 + 0 - 3 + (0 - 2 - 1)*(-1 + 2 - 3))*(1 - 1 + 2).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67d4b (base 15) in base 6?\nAnswer: 11025255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -3*f**5\/140 + 5*f**4\/28 + 11*f**3\/7 - 12*f**2 + 863*f. Determine o so that s(o) = 0.\nAnswer: -4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10424 - 5034. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -7724\/33. Let b(l) = -l**2 + 10*l + 23. Let o = -55 + 67. Let n be b(o). Which is bigger: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*z - 2408. Let s = z + 884. What is the highest common factor of 54 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {s: 5, k: 2, c: 12}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*d - 14190, -5*m + d - 39932 - 30974 = 0. Let z = -6981 - m. Let x = -72093\/10 + z. Calculate the common denominator of -34\/7 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 6*q - 16. Let p be a(-10). Let j = p - 444. Which is smaller: j or -1\/564?\nAnswer: -1\/564","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 - 158 = 8*m. Suppose -40 + 60 = m*r. Solve -p - r = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 7*d + 11. Determine p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {y: 4, r: 1, b: 1, u: 1, f: 4, k: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10*s - 2*s = 0. Sort s, 5, 3, 1 in descending order.\nAnswer: 5, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000417514 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-6 + (15 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0 + 5\/24*c**4 + 0*c + 14*c**2 - 2\/3*c**3. Let k(g) = -4*g + 4. Let w(r) = -7*k(r) - 6*y(r). Determine w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -990 divided by 5.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003235872 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 8. Let k = -22 - -22. What is t(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -280*w**2*x**2 - 3*w**2*x + 87*w*x**2 + 71*x**2 + 2*x + 3317 wrt w?\nAnswer: -560*w*x**2 - 6*w*x + 87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 1 - 13*q + 15*q.\nAnswer: 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 95860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1380 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4572073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 19*f**5 - f**2 - 72*f - 254. Find the second derivative of h(z) wrt z.\nAnswer: 1140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81699270 divided by -2\nAnswer: -40849635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -132. Let y = -54 + q. Solve m - 2 = y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (2*sqrt(850) + sqrt(34)))\/(sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(32))) - ((sqrt(425) - (sqrt(425) - (sqrt(425) + sqrt(425)*-1 + 3)))*5)**2.\nAnswer: -225 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -1\/24*r**4 + 1\/100*r**5 + 0 - 1\/15*r**3 + 5*r**2 + 12*r. Let q(j) be the first derivative of x(j). Factor q(c).\nAnswer: (c - 2)*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.352264 millilitres in litres?\nAnswer: 0.000352264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/24 - 2*n**5\/15 - n**3 + 2*n**2. Let d(u) = -14*u**3 - 24*u**2 - 17. Let z(l) = 6*d(l) - 17*o(l). Determine z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 25 = -1. Solve 3*x + 5 + q = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 386 + -381. Suppose -35 = -k - 5*h, 0 = 8*k - 12*k + u*h + 40. Solve -4*b = 5*q - k, -q = -b + 11 - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 6. Let r be m(-2). Find the first derivative of 0 - 2*x**4 + 0 - 2 + 3*x**r wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986803 rounded to the nearest one thousand?\nAnswer: 987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 9*s**2 + 8*s - 14. What is the units digit of c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48.7 + -48.735. What is the second biggest value in a, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(63) + sqrt(21)\/sqrt(3) + -5.\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7805, -31131, -69979, -124349, -194241?\n\"Answer: -7761*q**2 - 43*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5122406 or -5122411?\nAnswer: -5122411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.017 and -2169722.\nAnswer: 36885.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 6*f + 44, -5*j - 7*f + 94 - 182 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = x + 15, -4*x + 3*o - 18 = 60 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z + z - 2*z**3 + 4*z**2 - 3*z + 2*z**2 - 3*z**2 to the form u*z**3 + a*z + h*z**2 + d and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r - 24 = 5*h, 5*h = -5*r - 30. Let s be (-670)\/25*(1 + r). Let a = s - -26. Calculate the highest common divisor of a and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*x = -162*x - 14. Let m(q) = -q**2 + 6*q + 7. What is m(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -806 + 798. Let a(s) be the first derivative of -s**3\/3 - 7*s**2\/2 + 4*s - 1. Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2589, -30, -8 in increasing order.\nAnswer: -30, -8, 2589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3398 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 480956\/25 bigger than 19238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0396 rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -2953118421.\nAnswer: -2953118421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 62 = 13*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2973760031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 11*c**3\/3 + 3*c**2\/2 - 24*c. Let b be q(6). Let m = -130 + b. Solve t + 15 = 3*u, -3*t + m*t = -4*u + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - 0.16. Suppose -3*u + 2*n + 23 = -0*n, -u - 3*n = 7. Let r = u - 1. Which is the closest to 0? (a) -0.3 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-1)\/(-4 + -1)). Let i(v) be the first derivative of -v**3\/3 - 3*v**2 + 5*v - 156. What is the smallest common multiple of i(w) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1869\/(-14) - (-702 - -605).\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 3*q - 36. Suppose -q = -5*u + 8. Let y(r) = 2*r + 2. What is y(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - s**3 - 5*s**3)*(-5 + 7*s + 5).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3008, 3017, 3024, 3029, 3032, 3033?\n\"Answer: -g**2 + 12*g + 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/4 - -2)*-6. Suppose 2*n - v = 25, q*n = 3*v - 4*v + 25. Let d(h) = h + 6. Let p be d(4). Solve -p = 4*a - 4*t - 2, 5*a = 2*t - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20486*n - 20514*n + 140 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138752921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 37 - (38 + -14) - 50 - -5\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 9*o - 6. Let n be v(-7). Let r(w) = -2*w + 10. Let z be r(n). Let i be z\/(-15) - (-14)\/(-10). Sort 1, -2, i.\nAnswer: -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-789 - 1119 + 1538)*((-q - 2 + 2)*(5*q**2 - 2*q**2 - 4*q**2) + 0*q**3 - q**3 + 3*q**3).\nAnswer: -1110*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {w: 4, t: 8, s: 4}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 3 + 14 = 0. Let j be k\/7 + (-50)\/175. Let p = 668\/5 + -134. Which is the closest to p? (a) j (b) 2\/23 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 24 = -n - 6*n. Factor 0 + 24\/5*t - 3\/5*t**n.\nAnswer: -3*t*(t - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682143347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113607709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-7 + 3))\/(-4). Which is the second smallest value? (a) j (b) 0.5 (c) -0.4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364799 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: Let w = 21 - -51. Let p = -70 + w. Which is the biggest value? (a) 3 (b) p (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 6*k**2 - 4*k**2)*(-6*k**2 + 21*k**2 - 9*k**2)*(-216*k - 7599 + 7599).\nAnswer: 1296*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 591*r + 23040. Give l(-39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492107 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21023033 (base 4) in base 9?\nAnswer: -56488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x - 3 - 2*x - 10*x**2 + 12*x**2. Let t be q(6). Suppose -t = -5*v + 19. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3824 + -3818. Let l(j) = -j**2 + 5*j + 6. What is l(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 - 32826*a**2 + 65661*a - 32832 = 0.\nAnswer: -10944, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-15) - 5 - 3130\/(-15). Differentiate 292 - 148 - k*t - 1 wrt t.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 3*x - 73, -10*v - 6580*x + 6576*x - 82 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-13) - (-2640)\/(-429). Let x be (-2)\/t + 561\/153. Solve -x*m - m = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24b75 - 17a?\nAnswer: 249c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257 + 8 + -11 + 8.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.7507382 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - 3*l)*(-l + 2*l + 0*l)*(-1 + 2 + 2).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5444084 divided by 6\nAnswer: 2722042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - 2*t**2 + 4*t. Let n be -5 - (16\/(-5) - 180\/(-150)). Let v(r) = -2*r**3 + r**2 - 3*r. What is n*k(g) - 4*v(g)?\nAnswer: -g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 154*f**3 + f**2 - f - 2. Calculate b(-1).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3507, 3476, 3445, 3414, 3383?\nAnswer: 3352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -7, 2\/2291?\nAnswer: 2\/2291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3261 - 121*m**3 + 3261 + 119*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7566743, -7566745, -7566747?\n\"Answer: -2*p - 7566741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82670688 divided by -24?\nAnswer: -3444612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8446.\nAnswer: 2, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55601913649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - (30 - 17)*-1. Solve -o*t = -22*t + 3*s - 6, 5*t - s + 32 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8976.184km to micrometers.\nAnswer: 8976184000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689152*u - 136334*u - 629970*u.\nAnswer: -1455456*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3 + 11130*g**2 + 15490176*g + 15479048 = 0.\nAnswer: -2782, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 183\nAnswer: -88\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848432 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {f: 2, m: 6, l: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-45)\/12) + 46\/45?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4. Suppose -2*s = -2 - 0. Sort h, 0, s in decreasing order.\nAnswer: h, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 499253240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*s + 174 = -l - 131*s, -4*l + 6 = -2*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1025)\/25 + 44 + -20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/6*2\/(-4)*46\/(-161). Let b(u) = 30*u**3 + u**2 - u + 1. Give b(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i + 1530 = -109*i - 45*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 1006752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Let n(b) = -b**3 - b**2 + 3. Let d be n(c). Solve 2*s - 15 = -d*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-104)\/(-260)*(0 - -10). Suppose -c + 0 = -2. Suppose -16 = -r*s + o - 2*o, -2*o + 2 = -c*s. Solve -s*k = -k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/2 + 4*p**3\/3 - 33*p**2 - 576. Find the third derivative of h(q) wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o = -1940. Let u = -1104 - -1119. Calculate the remainder when o is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1154?\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3848 divided by 46\nAnswer: -1924\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474 is divided by 249.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-846)\/1269*15\/(-12)*-1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 8*u + 2. Let m be 6 - ((-36)\/4 + 5). What is x(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/43395858 and 151\/25542.\nAnswer: 43395858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*d**3*h**3 + 8*d**2*h**3 + d**2*h**2 wrt d?\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + ((-243)\/(-12) - 0) and -3*(-2)\/34*-13.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + (16 - (-82 - -78))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560402465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**3 + 4*t**2 - 5*t + 4. Let s(b) = -13*b**3 + 9*b**2 - 11*b + 8. What is 9*a(f) - 4*s(f)?\nAnswer: -2*f**3 - f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 596914, 596954, 596998, 597046?\n\"Answer: 2*t**2 + 34*t + 596878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 6*a = -15. Find the third derivative of -5*m**2 + 3*m**a + 214 - 214 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1678*r + 413129 - 382925 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -112, -234, -404, -622, -888, -1202?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*(-83 - -77).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 25\/1221?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -2, 4, -25.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 9*l - 20. Determine b(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8\/9, 0.176.\nAnswer: 0.176, 8\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1*(102 + (-2 - 0)). Let v(w) = -w - 6. Let u be v(0). List the prime factors of (3 - 1)*g\/u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 710607 = 3*j, -5*j + 69*t + 1184359 = 65*t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26154 is divided by 191?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1551.96824 + -1571.9682371. Let l = -20 - r. What is l rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by -43834.\nAnswer: -69\/43834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/13, -3, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -643 + 637. Let m(l) = l**2 + 4*l - 3. What is m(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (38\/(-24)*-3)\/((-5)\/220). Let s = -15 - x. List the prime factors of s.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 1\/9*r**3 - 4*r + 35 + 2\/3*r**2. Solve v(c) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:15 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -4, -0.05, 4, -3, 5\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/8)\/(-6)*-16*(-44)\/(-64)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*x + 246*x = 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 20. Let m = g + 73. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**6\/360 - t**5\/20 + t**4\/8 - 13*t**3 - 2. Let a(y) be the third derivative of h(y). Determine a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146 + -210. Let q = c - -105. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 * 17883\nAnswer: 3415653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 120. Suppose 27*n - 2886 = c*n. Is n a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106.9548 seconds to minutes.\nAnswer: 1.78258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243290048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -467, -2238, -5867, -11912, -20931, -33482, -50123, -71412?\n\"Answer: -93*d**3 - 371*d**2 - 7*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/((-1517)\/287) + (7\/(-70))\/(7\/487)\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**3\/3 - 12*v - 3. Let z(d) = -18*d**2 + 5. Let s(m) = 27*m**2 - 8. Let u(y) = -5*s(y) - 8*z(y). Determine u(g(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1558 - -2910. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-16)\/(-10))\/(26\/130). Let c(h) = 9 + 1 - 1 + h - r*h. Give c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, -1527225, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3464, -8, -1, -5, -58 in increasing order.\nAnswer: -58, -8, -5, -1, 3464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 67.4 and -13001299.\nAnswer: -13001231.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 22 = -3*n - 4*l, -2*n - l = -65. Solve -2*o + 15 = 31*k - n*k, -4*o = 5*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**3 - 2*l**3 - l**3)*(-18*l - 32*l + 24*l) - 7*l**4 + 2*l**4 + 10*l**2 + 6*l**4 to z*l**2 + i + k*l**4 + f*l + a*l**3 and give k.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 172.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -201 + -4?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 6) in base 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12)**(-1\/11)*j**(-1)\/j**19 assuming j is positive.\nAnswer: j**(-232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 1906*d - 1906*d - 41 + 5*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 385860311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 232474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144583 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:13 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79327, 79313, 79297, 79279?\n\"Answer: -k**2 - 11*k + 79339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.06727371683 + -1.3?\nAnswer: -4.36727371683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5*h**2 + 4*h + 4. Let l be q(-4). Suppose w = -l*w + 15. Let g = -188 - -192. Solve 3*v + r - 12 = g*r, -w*r - 13 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - (((-1040)\/(-36))\/5 + (-4)\/(-18)). Calculate the highest common factor of 340 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/9699772 and 37\/742?\nAnswer: 3598615412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0491 in 0, -0.5, 129?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 3*h - 206. Suppose -h = -0*q + 2*q. Let y = -16 - q. What is the highest common factor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -0.1 (c) -455 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10101001 (base 2) to base 7\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 1. Let k be f(5). Suppose 2*v = i - 2388, -2387 = -i - 8*v + 11*v. Suppose -k*q = -2358 - i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-5)\/95)\/(-1). Which is the closest to -0.1? (a) 3 (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906282 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 16*t**2 - 91*t**2 + 1 - t**3 + 22*t**2 + 2*t + 23*t**2. Let w(n) = -4*n**3 - 89*n**2 + 7*n + 4. Calculate -7*r(k) + 2*w(k).\nAnswer: -k**3 + 32*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/6)\/(16\/10))\/(359\/((-81134)\/(-3955)))?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6 = 15*l, 3060*l - 3*j + 42 = 3057*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5*1 + -3. Let s(f) = f**3 - 13*f**2 - 18*f + 62. Let n be s(11). Let p = n - -3406\/9. Sort l, 0.3, 5, p.\nAnswer: l, 0.3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 3*m - 3*m. Let g(x) = 1471*x - 4. Let n(u) = 104805*u - 285. Let k(f) = -285*g(f) + 4*n(f). What is h(k(t))?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**7\/21 - b**6\/5 - b**5\/5 + 2*b**4 - 8*b**3\/3 + 336*b. Factor w(f).\nAnswer: 2*f*(f - 2)**2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35598 from 6.2365028.\nAnswer: 35604.2365028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -4, 2, -5, 1079, -75.\nAnswer: -157, -75, -5, -4, 2, 1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -203*a**3 + 84*a. Let b be (-2)\/(-3)*(-107 + 2). Let r(h) = -12*h**3 + 5*h. Let x(n) = b*r(n) + 4*d(n). Find the second derivative of x(o) wrt o.\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 8) in base 4?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.15 + 4.2. Which is the third biggest value? (a) 0 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0193652 hours?\nAnswer: 69714720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12916362097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 173\/8 + 35\/(-56). Let o = 35 - 15. Is l bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55241697*a**2*q**3 + 17*a**2*q**2 - 453*a*q**2 + 853*a - q**4 wrt q?\nAnswer: -331450182*a**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/4 + 19*j**3\/3 + 8*j**2 - 3*j - 12. Is a(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7577*b**4 - 14*b**3 - 2*b + 257201 wrt b.\nAnswer: -90924*b**2 - 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 23 = 4*j, j - 8 = q - 3*q. Suppose 4*y + 2*v = 627 - 183, 3*y + q*v = 326. Calculate the remainder when y is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4578 and 121\/126.\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 5\/12172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*w - 3*i - 8 = -187*w + 365*w, -3*w + 4*i = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/22)\/(248\/6820)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -8*u - 52, 37*m - 15*u - 17 - 47 = -41*m + 77*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - u + 2. Let j be p(-2). Suppose j*n - 2*n = -6. Let a(v) = v**3 - 2*v**2 - 3*v + 2. Let c be a(3). Solve c*y = -n*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(5 + 348\/(-72)). Suppose m - 3*j = 455, 0*m = 3*m - r*j - 1359. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295860447*u**2 + 431419605*u wrt u.\nAnswer: -591720894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14*688\/32)\/(799\/(-11186)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -58. Let x = -21 + q. Let s = -37\/4 + 251\/28. What is the closest to x in s, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 + 88335*i**3 - 23*i**2 - 2*i - 1970052 wrt i.\nAnswer: -24*i**2 + 530010*i - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 60.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 15 = r, 0 = -x - 0*r - 5*r + 30. Let i be 2\/x + (-96)\/(-135). Let -2\/9*t**3 - 8\/9*t**2 - i*t - 4\/9 = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 12542*l - 7. Let w(b) = 4181*b + 2. What is -7*w(q) - 2*z(q)?\nAnswer: 2*q**2 - 4183*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 290 = -45*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:56 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21589*v**2 - 21589*v**2 + 1620*v**3.\nAnswer: 1620*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1126233 and 55\/867.\nAnswer: 1126233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, b + 8*p = 4*p + 223. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**2 + 3. Let z(v) = v**2 + 1. Let p(j) = t(j) + 6*z(j). Let n(w) = w**2 - 4. Let m(x) = -x + 5. Let u be m(9). Give u*p(r) - 9*n(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*b - 24 + 3, -3*p + b + 9 = 0. Let n = -57 + 14. Let u = n - -64. Solve 3*c = 5*m - u, p*m + c = -1 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278982, 557995, 837040, 1116117, 1395226, 1674367, 1953540?\nAnswer: 2232745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 4)\/2 + 100. Let d = l + 343. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -26. Let n = 9 + y. What is the smallest common multiple of 40 and (-92)\/n - (-8)\/(-36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uutu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 38. Let o be ((-6)\/(-4) + 0)*272\/h. Let b = -2 - o. What is the remainder when 42 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 37*q**2 + 5*q + 1. Suppose -o + 5*z - 17 = -3*o, o + 3*z - 9 = 0. Is c(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5392376534 to the power of 1\/2, to the nearest integer?\nAnswer: 73433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (189\/84)\/(18\/13368). Is 1671 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788279635 a multiple of 2035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13451840101 - 0.3.\nAnswer: 13451840100.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 11 + 2*w - 1 as m + r*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quqq when four letters picked without replacement from {q: 3, u: 5, w: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 260 - 209. Calculate the greatest common factor of q and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -12. Let y be (-4*3)\/(n - -4). Suppose -5*i + y = -639. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0.4 (c) -5 (d) 1\/3 (e) 31 (f) 8 (g) 0.49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 3*g - 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 + -31.92.\nAnswer: -31.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/5 + 3*v**3 + 3*v**2\/5 - 63*v\/5 - 54\/5 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(1\/3))**(-1\/31)*c**0\/(c**(-5)*c)*(c**(4\/3)\/(c*c**(-6)))\/((c\/(c*c\/(c\/c**6)))\/(c**(-1)\/c)) assuming c is positive.\nAnswer: c**(442\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5 + 1.5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from rmrrtty?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 642.078?\nAnswer: -2568.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 57*a**2 - 3*a - 59. Is 134 a factor of f(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 664 and 58100?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3439480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:12 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*y**2 - 33*y**2 + 31*y**2.\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 221140?\nAnswer: 2432540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 20, -3, 0.3 in decreasing order.\nAnswer: 20, 0.3, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -38*l. Let o(a) = 313905*a**2 - 4*a + 1. Determine z(o(x)).\nAnswer: -11928390*x**2 + 152*x - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-84)\/(-4) + 0). Suppose 6*a - w = 15. What is the tens digit of (3 + 15\/10)*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -720570368.19999974 - -720570360. Let x = 8.2 + p. What is x rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*t - 10 + 4*t)*(2*t - 5*t + 2*t) in the form o*t**2 + u + s*t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1067, -981, -837, -635, -375, -57?\n\"Answer: 29*d**2 - d - 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16133, 64565, 145287, 258299?\n\"Answer: 16145*t**2 - 3*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/132625 and -83\/256250.\nAnswer: 271881250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/27 - -1)*1. Suppose 0 = -m + 3*q + 4, -5*m = -7*q + 2*q. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 3. Let g(b) be the second derivative of -32*b - 5*b**2 + b**3 - 4*b + 2*b - 15*b. Calculate 2*g(d) - 7*n(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34311 + -34007. Calculate the remainder when l is divided by (0 - 1)*(-51 + 0).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/11)\/d*d**(-11)*d*d)**(1\/6) assuming d is positive.\nAnswer: d**(-53\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -103, -89, -69, -43, -11?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 916 - 819. Suppose -4*f - 3*w - 60 = -0*f, -3*w = 12. Let c = 21 + f. What is the least common multiple of q and c?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 18. Let h = -89.047 + 89. Let g = h - -0.047. What is the nearest to 0.1 in u, 3\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/35 and -103\/11380.\nAnswer: 79660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine fifths of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (61 + -65 + 5 + 0 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times 446.6?\nAnswer: 491.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 14*s - 1. Let v(n) = 12*n. Determine y(v(d)).\nAnswer: -288*d**2 - 168*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13668 - 6050 - 12058 = -16*w - 24*w for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 111\/20 (b) 10 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6765735 is divided by 282.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.52 + 0.48. Let t = 714 + -690. Let k = t - h. What is the biggest value in k, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3 = 5*n. What is the smallest common multiple of n and (-29)\/58*40\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289.542 - -289. What is t rounded to two dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + -5*(sqrt(125)*-2 + -1 + sqrt(125) - 1*sqrt(125)*4)).\nAnswer: -500*sqrt(5) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 6888*b - 103082. Give w(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n + 324. Let s(h) = -3*h + 3. Give -3*s(l) + t(l).\nAnswer: -2*l + 315","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**3\/7 - 33*o**2\/7 - 15*o\/7 + 9\/7.\nAnswer: -3*(o + 1)*(o + 3)*(3*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-7 - (4 + -10))) + -9 - -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/15 (b) -0.3 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**8\/47040 - x**7\/17640 - x**6\/2520 - 7*x**4\/3 - 22*x. Let h(i) be the third derivative of u(i). Factor h(d).\nAnswer: d*(d - 2)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 11. Let g = y + 6. Suppose g*x - 6 = 62. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 + 11*u - 12. Let v(z) = z**2 - z - 1. Let m(f) = t(f) - 5*v(f). Let p be m(-18). Calculate the highest common factor of 319 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3, -2*s = 4*m - 7*m - 3. Suppose s = 4*k + 7 - 15. Find the second derivative of -k*p**3 - 2*p**3 + 2*p + 6*p**3 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 10. Let z = o + 4. Suppose z*h + 60 = 3*h. Round h to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/39)\/j*j)\/((j\/((j*j\/(j*j**21*j))\/j))\/j))\/(j\/j**(-2\/5))**(-4\/19))**(-1\/14) assuming j is positive.\nAnswer: j**(40114\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, 1, -2, 85, 12, 4.\nAnswer: -2, 1, 4, 12, 85, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91756 and 3715306?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 265103 + 41?\nAnswer: 265144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 403679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33746*l**3 - 966*l**2 - 3*l - 1.\nAnswer: -202476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -1\/3, -155\/208 in decreasing order.\nAnswer: 0.2, -1\/3, -155\/208, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*x - 27, 3*x + 17 = 6*x - y. What is the third derivative of -r**4 - r**4 - 3*r**2 + r**x wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**2 - 368*x + 368*x - 46*x**3 + 2*x**2 wrt x.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0749 - 5.3449. What is v rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 2*d - 2*d)*(-2*d**3 - 23*d**3 - 12*d**3).\nAnswer: -74*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(((-8)\/(-24))\/(-1)). Let g = -59 - u. What is the third smallest value in -0.2, 3\/7, 4, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2)*1)**2 + 1 + (2 + sqrt(13))**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46151822594 + -46151822580.0338385222. Let w = v - -0.0338370422. Let g = 14 - w. Round g to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518\/3*f - 10*f**2 - 2\/9*f**3 - 5782\/9 = 0 for f.\nAnswer: -59, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 + -2 - ((-31968)\/801)\/4?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10816 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -227, -794, -1901, -3728, -6455, -10262?\nAnswer: -15329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3 - -1 - 5) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 greater than -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10610532 divided by -36.\nAnswer: -294737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356259 by -127.\nAnswer: -356259\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1392.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let h(a) be the second derivative of -a**4\/12 + 7*a**3\/6 - a**2 - 30*a. Let c be h(z). Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(12\/1) - (-129)\/(-228). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.828 + 121.928. Let j = 119.16 + 0.84. Let v = r - j. Which is the closest to v? (a) 1 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1596 divided by -532\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6*k - 57 = 4*d, -3*k - 4*d = 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1356578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -774\/1787 or 0?\nAnswer: -774\/1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -228 - -1?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-14)\/(-7))\/(4\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/196320 and 209\/53760.\nAnswer: 21987840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 8*f**2 + 2*f - 19. Calculate q(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2595750 divided by 6\nAnswer: -432625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -0.5. Let l(s) = s**3 + 16*s**2 - 19*s - 34. Let o be l(-17). Let j be (-2 + 185\/90 + o)*4. Sort 0.1, m, j in decreasing order.\nAnswer: m, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.637 + 0.637. Is t less than 36\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*-1*(-27)\/90\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/44)\/(3\/4). Let j = -6 - -4. Let n = -349637 + 349639. What is the smallest value in s, -5, n, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/2 - 25\/75. Solve 8*h + 14*h + 44 = s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172336 (base 9) to base 7.\nAnswer: 623052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*b = 21, n + 2*b + 12 = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/13 - 181888*z**2\/13 = 0. What is z?\nAnswer: 0, 90944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*x**2 - 6*x**2 + 71*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) -5 (b) -1 (c) 3\/8 (d) -0.899\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, 669, 2088, 3995, 6384, 9249?\nAnswer: 12584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -694, -1371, -2046, -2719, -3390?\nAnswer: -4059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9943555m in kilometers?\nAnswer: 0.0009943555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56615 and 18?\nAnswer: -1019070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -104, -24, -4 in ascending order.\nAnswer: -104, -24, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) + 38\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 + 1002 = -6*t + 494. Let u = -11 - -15. Which is the closest to t? (a) u (b) 4\/5 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001166091 rounded to five dps?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.5 + 13.2. Let v = -3.2 - y. Let s = 0.02 + 2.98. Which is the third biggest value? (a) s (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let y be 3\/(-6*(-3)\/66). Let q(z) = -z - z + y*z - 8*z. What is m(q(o))?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3141*s**2. Let h(i) = 5*i**2. Determine n(h(q)).\nAnswer: -78525*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 smaller than -219\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3634.\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407 - -7. Is l a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.332 + 23.33276088. Round o to 5 decimal places.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a factor of 42738681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 5*t**2 - 3*t + 4. Let r be j(-3). Suppose 0 = -4*f + k - r + 81, 2*k + 70 = 5*f. What is the greatest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(2 + -3) - 1. Suppose -3*b + t*b = 0. Suppose 5*i = 3*x + 22, -2*x - 3 = -i - b. Put 3, -3, x in decreasing order.\nAnswer: 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/4 + 7*z**3\/3 - z**2\/2 + 15*z + 10. Let i be v(7). What is the remainder when 5 is divided by ((-28)\/i + 4)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/16*(-44)\/(-11)*(-8)\/((-16)\/(-62)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a = 3*r - 40*a - 626, 3*r = 3*a + 606. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -30 - (2 - 5 - (-3 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 964*q + 11411. What is m(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173671\/2331 - -73\/333. Let n = 74 + u. Let d be (-3)\/15 + 48\/(-10). What is the biggest value in n, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 6. Let w be u(0). Let o = 10 + w. Calculate the greatest common divisor of 128 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6bb8486 - 1?\nAnswer: 6bb8485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-24)\/10 - (1 - 1). What is the smallest value in 4, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) 25\/3 (c) 5 (d) 4\/149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14953 is divided by 14221?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -210, -202, -192, -180, -166, -150?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (9 - (38 - (6 + 0)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-6 + -2)) + -12 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3502080 and 246240.\nAnswer: 31518720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 47, 42, 35, 26, 15?\n\"Answer: -h**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5626887961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*v - 18, -5*y + y + 3 = -v. Suppose -a = -v*a + 2*x + 20, -4*a - 5*x - 8 = 0. Suppose 32 = -z - a*z. Sort -1, z, 3 in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -51*r - 15. Let x(i) = -3*i + 1. Give -l(k) + 6*x(k).\nAnswer: 33*k + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z - 1. Let m(k) = 6*k - 1. Suppose 5 = 2*p - 1. Let c(x) = p*b(x) - 7*m(x). What is the units digit of c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16382*h + 327647. What is w(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2423484 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m + 3*m + 4*m + (-4*m - 3 + 3)*(-1 + 0 + 2) in the form t + f*m and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2690959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:19 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from coqaoa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6891365611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047795 to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2364\/3625 or 1?\nAnswer: 2364\/3625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13735 - 6.\nAnswer: -13741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/43 - -150\/301. Find the common denominator of a and (4\/9)\/(70\/(-385)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18816*h**3 - 8689*h**3 - 19680*h**3 - 23905*h**3 - 17444*h**3.\nAnswer: -88534*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.606 - -26.63. What is the closest to 1 in -2\/13, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * 4446\nAnswer: 10225.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c - 144. Let j be p(-9). Let t be (-7)\/((-42)\/(-48)) - j. Solve 11*l + 25 = -t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)\/sqrt(6))**2 - sqrt(3)) + 3 + sqrt(3) + -4 - -6*((0 + sqrt(432))**2 + 4)) + 2.\nAnswer: 2644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -1 + -178 + 190.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((252\/(-42))\/((-140)\/(-15)))\/((-9)\/63).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 0.06. Let j = -0.05 + g. Let q = j + 0. Which is the closest to q? (a) -1\/6 (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/6 + 27\/81.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995005412 to the power of 1\/2, to the nearest integer?\nAnswer: 31544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 220750925 to the power of 1\/3, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1678207403.\nAnswer: 331, 5070113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/((-2)\/12). Suppose -p - 2*l + 0*l + 43 = 0, g*l = 2*p - 86. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m, 5*l + 8*m = 9*m + 3625. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.2865535 rounded to 1 decimal place?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281\/3 - -94. Which is the second smallest value? (a) 2\/5 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 5*g + 1. Suppose 23 = 4*y - 5*i, 3*y - 2*y - 14 = 4*i. Suppose 4*w = 3*h - 48, -4*h = 4*w - 0*w + 48. Let p be (-4 - -5) + w\/y. Give z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077858 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2850*n = -2836*n + 84 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341 - -839. Suppose 0 = c - 2*c + x. Suppose 0*u - 6*u = -c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2050*l - 4400. Is o(-13) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m\/m**(-1)))\/m))\/((m\/((m*m*m*m\/(m\/(m**(-1)\/m))*m*m*m*m)\/m))\/m)*m*m\/((m\/m**(-2\/7)*m)\/m)*m\/m**(-6) assuming m is positive.\nAnswer: m**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + -8. Let q = d - -45.2. Let m = -25 - -51\/2. Sort 20, 4, m, q in descending order.\nAnswer: 20, 4, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 470*a**2 + 10560*a + 23040.\nAnswer: 5*(a - 48)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753266 is divided by 1251081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h - 9. Let c = -17 - -19. Let t be (-21)\/2 - (-1)\/c. Does 19 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*m**2 - 371*m**2 + 32*m**2.\nAnswer: -599*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 7*v**6\/120 + v**5\/15 - v**4\/4 + 5*v**3\/6 + 3*v**2. Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -266, -210, -116, 16, 186, 394, 640?\n\"Answer: 19*c**2 - c - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, s: 13}. What is prob of picking 2 p?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4\/2105 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 916867.\nAnswer: 3667468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and 2519.\nAnswer: 2521.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -2 + -323 + 324\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**2 + 6*w + 8. Let x(j) = 5*j**2 - 3*j - 4. Let y(n) = -4*i(n) - 9*x(n). Find s, given that y(s) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrjjrxrhjjjjd. Give prob of picking 1 d and 1 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/((-2)\/4 + 2). Let u = f + -19. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/20964 and 31\/13976.\nAnswer: 41928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155728 and 128.9.\nAnswer: 20073339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, 13 in descending order.\nAnswer: 13, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0.060171, -0.4, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 - 882 = -2*t + v, -t - 3*v = -344. Suppose 3*m - t = -2*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -898726\/9 at most as big as -99859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) - sqrt(35)\/(sqrt(28)\/sqrt(4))) + 0)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r = 75*r - 30. Suppose -n = r*n - f - 11, -3*n + 3 = f. Calculate the smallest common multiple of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 + 142.7. Let z = -40.7 + k. Let n = 50.0008 + z. What is n rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/3, 87, 0.3 in ascending order.\nAnswer: -1, 0.3, 4\/3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -1\/5*c**2 + 0 + c = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r + r + r. Suppose 4*n - 12 = -0. Let x = n - 7. What is p(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170*j**3 - 1040*j**3 + 11033*j**2 - 11033*j**2.\nAnswer: 130*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-3)\/(36\/(-48)*-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = 54*l + 175 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 2:32 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -19. Let v = -10 - g. Let u = v - 3. What is the nearest to 0.02 in u, -5\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72 - -105. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-23)\/(-414))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6490509 and 30?\nAnswer: 64905090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/11, 62, -0.3 in decreasing order.\nAnswer: 62, 5, 1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 10. Let w be z(6). Let i = -3 - w. Let d(r) = 55*r - 2*r**3 + 2 - 57*r + r**2 - 1. Give d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(3))**2 - (sqrt(147) + 0)**2.\nAnswer: -135 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**8*b)\/b)**(-25) assuming b is positive.\nAnswer: b**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -128094 and -5.\nAnswer: -128099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12867 minus -19?\nAnswer: -12848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-5)*1\/3. Let x be ((-2)\/t)\/(4\/28). Let j(d) = -3*d - 2*d + d + x*d. Let b(f) = 2*f. Determine b(j(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37865 = -235*j + 51260 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u - 34*u = 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 208 - 188 = -5*h, 5*g - 2*h - 35 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.24718 centuries to millennia.\nAnswer: 3.324718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + -3)) + -4 - (sqrt(468)*1 + sqrt(26)\/sqrt(18)).\nAnswer: -19*sqrt(13)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1919*u + 1921*u - 2*u**3 + 0*u**4 - 62 - 2*u**2 + u**4 as l*u**2 + q + b*u**3 + k*u + x*u**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18372*s + 16462*s + 30560 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207364 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1306 - 856 = 85*n - 132*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.0271 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2181788 + -3851998. Let o = k + 1670076.0118. Let g = -134 - o. Round g to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -317, 18 in ascending order.\nAnswer: -317, -0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/8)*u)\/(u*u\/u**(-2\/3)))\/(u\/((u**0\/u)\/u))**(2\/5) assuming u is positive.\nAnswer: u**(-359\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 179087, 358173, 537257, 716339, 895419?\n\"Answer: -l**2 + 179089*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2755411.\nAnswer: 17, 109, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*b + 172025 + 118837 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 (base 16) in base 2?\nAnswer: -101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*l + 11 - 2, 0 = -5*l + j + 29. Calculate the highest common divisor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/12 + -7\/6. Let t = 5949 + -5948.6. Which is the closest to -1\/2? (a) -4 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 26 - 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -1254?\nAnswer: 1253.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/((-294)\/(-7))*(-18)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 + m**2 + 22*m - 23. Give a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(2 - 1 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -141*p + 11336. Let n(i) = 25*i. Determine n(r(c)).\nAnswer: -3525*c + 283400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 183*v**2 - 180*v**2 - 2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 52710*d + 108495027.\nAnswer: 3*(d + 2381)*(d + 15189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34223417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 61*t**4\/24 + 2*t**2 + 2*t + 180. Let n(w) = 29*w. What is q(n(o))?\nAnswer: 1769*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.9 + 30.9. What is the nearest to 0.2 in 20, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*d + 32*d - 2935566 - 3549010. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcf when three letters picked without replacement from ccfff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-1 - -2) + 0). Suppose 0 = 5*s - 4*z + 2*z - 17, 0 = -4*s - g*z + 28. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(400\/(-542)) + -3. Let q = -1\/25 - r. Suppose -1\/4*d**3 + q*d**2 - 1\/4 + 1\/4*d = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 m when four letters picked without replacement from {d: 11, m: 9}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29560 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**2 + 0*j**4 - 17 + 0*j**3 - 9\/5*j**5 + 0*j. What is the second derivative of t(l) wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/9)*p*p**(-2\/9)*(p**4)**(-6) assuming p is positive.\nAnswer: p**(-205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 11*j + 4*j + 8*j - 6*j**2 to the form n + x*j**2 + t*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*11777.\nAnswer: -9421.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 100. Let u = -13 - v. Suppose 0 = -5*w + 124 + 356. Calculate the greatest common divisor of u and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 3*o - h - 66, 3*o - 5*h = 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, p: 1, t: 2, z: 4}. Give prob of picking 1 e and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - l**2 + 1. Let q be b(-1). Let z = 161 + -78. Let t = -84 + z. Put t, q, 6 in decreasing order.\nAnswer: 6, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 406523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16f2d - 26?\nAnswer: -16f53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*x + 5)*(-71 + 273 - 55 + 414 - 28).\nAnswer: -2665*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 d when four letters picked without replacement from xxhddxdd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*m**3*y**2 - 30636*m**3*y + 171*m**2*y**2 - 4*m*y wrt y?\nAnswer: -168*m**3 + 342*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2724)\/(-14) + (-63)\/(-147). Suppose 0 = -y - v + 475. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 12*h**2 + h + 15. Let v be o(-12). Suppose -v*z - 3*l = -126, 2*z - 3*l = l + 84. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100864 and 15169.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:49 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 2*s - 2. Let g(a) = -3*a**3 + 6*a**2 + 4*a + 3. Let r(f) = 2*g(f) + 5*l(f). Give r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1194682.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t + 39*t - 18*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 290a (base 12) to base 4\nAnswer: 1022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -4119?\nAnswer: 4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2165 and 190634745?\nAnswer: 190634745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/174 and -14\/27.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -115 and 389513.\nAnswer: 389398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 7 + 7 = 0. Suppose 3*c - b*v = 1661, 650 = 5*c + 5*v - 2110. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 5:40 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 60 + 67 - 8 - 4*s - s in the form a*s + y and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-11 + -8 + 14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149 - 426 - 210)*(-2 + 2 + 1)*(4*t - 6*t + 22*t).\nAnswer: -9740*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -74, -146, -218?\n\"Answer: -72*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403026511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*h + 8, 0 = -4*h - 54 + 46. Are 3\/2018 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/15)\/(o*o\/o**19)*(o\/((o*o**19)\/o)*o)\/((o*o**(-30)\/o)\/o) assuming o is positive.\nAnswer: o**(466\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4741 + 4975. Calculate the remainder when j is divided by 102.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*t**2 - 489\/2 - 483\/4*t = 0 for t.\nAnswer: -2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 0, -4*a + 5*f + 316175 = 74861. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*o**3 + o**4 - o**3 - 13*o**3 + 21*o + 4 - 19*o to b*o + v + p*o**3 + q*o**4 + k*o**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, -0.4, -6\/7, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -11. Let f = k - -10. Suppose -2*n - 5*w = -16, -3*n + 10 = 4*w - 0. What is the biggest value in f, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109886, -109871, -109856?\n\"Answer: 15*w - 109901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 + 271 - 7*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**5\/5 - f**4\/2 + 65*f**2\/2 + 61. Find the second derivative of l(a) wrt a.\nAnswer: 12*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310832387.\nAnswer: 173, 647, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/30 - 324\/(-10). Let u = -25 + b. What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/6362 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 9. Let c(z) = z + 8. Suppose -14 = -i + 3*s, -i + s + 23 = 3*i. Give i*r(w) - 6*c(w).\nAnswer: 4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d**3 - 3. Let k(v) be the second derivative of 221*v**5\/20 + 26*v**2 - 110*v - 2. Calculate 52*j(n) + 3*k(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j - 1. Let o be r(-1). Let w(h) = 35*h**2 - 34*h**2 - o*h + 4 + 0*h. Let q be w(10). Which is smaller: 18\/7 or q?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 5377099?\nAnswer: 5377089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/4)\/(2\/1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34346826?\nAnswer: 2, 3, 1908157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1833252 and 279968.\nAnswer: 190658208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29431314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526460 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*p**2 - 4*p - 9158.\nAnswer: 118*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-75)\/(-10))\/(2\/12). Suppose 0*b = -b + u. Let m = b - 33. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (14 - -8) - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 416 and 1664?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1946, -4, 4, -1 in descending order.\nAnswer: 1946, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/(-666) + ((-663)\/54)\/13.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62601 and -7.\nAnswer: 62594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -131, -159, -179, -185, -171, -131, -59?\n\"Answer: s**3 - 2*s**2 - 29*s - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 12. Let k be u(8). Let p = -10 + k. Suppose t + 3*t - 5*x - 39 = 0, -5*t + 2*x = -36. Calculate the remainder when p is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 4*w - 1. Let o be t(-3). Suppose -74 = -6*c + 3*c - 4*j, 4*c + o*j = 98. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.9, 2, -1, 0.32.\nAnswer: -1, -0.9, 0.32, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4036*a + 4003*a + 2*a**2 - 8039*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88701, 177399, 266097, 354795?\nAnswer: 443493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 11*x**2 - 42*x + 207. Calculate u(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let d(a) be the second derivative of 3*a**4\/4 + 5*a**3\/6 + 7*a**2 + a + 507. Does 10 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from magpggig. What is prob of picking 1 i and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7796)\/(-6))\/(26\/39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60 and -3?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5\/6, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 49*y = 19, -289 = -5*g - 2*y - 261 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-35 + 25 - (-2 + -7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 397932?\nAnswer: 397932.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.3 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-54)\/45)\/((-2)\/(-10)) - -615?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*b**2 - 77*b + 49*b - 32*b - 20*b - 70*b.\nAnswer: -5*b*(11*b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/28*7\/(-51)*(-42)\/28. Let y = -3 - -6. Let m(f) = f**3 - f**2 - 2. Let n be m(2). What is the nearest to 6 in y, n, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 196*r**3 - 6*r**2 + 6*r. Let z(b) = 27244*b**3 - 833*b**2 + 833*b. Determine 833*l(w) - 6*z(w).\nAnswer: -196*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6856541876 and -15400.\nAnswer: -6856557276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60914812.\nAnswer: 2, 7, 2175529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qlqdq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -26359740\nAnswer: -1\/8786580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1440*v**2 - 7 - 8 - 1343*v**2.\nAnswer: 97*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -627.\nAnswer: -2\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21214 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {n: 1, l: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -33918, 19\/3 in decreasing order.\nAnswer: 19\/3, -14, -33918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 241544 and 6?\nAnswer: 724632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 9. Suppose 0*o = 2*o - 5*m - 74, -m - 37 = -o. Calculate the remainder when o is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1692875.8629521 + -1701864.86345. Let n = -8989 - t. Round n to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1056 = 2*c - 6110, 4*c = d + 1788. Let p = 2691 + d. What is the remainder when p is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164776 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -46, -172, -424, -844?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -6*b + 72976 - 16060, -18937 = -u + 5*b. List the prime factors of u.\nAnswer: 2, 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*1*4 + sqrt(102) + 5*(sqrt(102) + sqrt(102) + 2*sqrt(102)))\/((sqrt(150)\/(sqrt(180) - sqrt(5)))\/sqrt(5)).\nAnswer: 125*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*r - 1, 2*o + 3*r = -0*o + 5. List the prime factors of (o + 0)\/(41\/17302).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 4*h + 1 + 5 - 4. Let p be a(4). Suppose 2*t = 3*u + p, u = t - u - 8. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-6))\/(-1) + 52\/(-78). Let a be (-405)\/(-140) - (-15)\/(-20). Factor -a*g**4 - 6\/7*g + 0 - c*g**2 - 3\/7*g**5 - 27\/7*g**3.\nAnswer: -3*g*(g + 1)**3*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(539) + -1 + (1 + sqrt(1100) - sqrt(11)))**2 + -2 + (-2*sqrt(704) - sqrt(704)).\nAnswer: -24*sqrt(11) + 3177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from zbxppjcc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 12, -25 = o - 2*o + 2*q - 0*q + 4 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*i = -426 - 6249 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**6\/3 + 26*f**3\/3 + 69*f**2\/2 - 199. Find the second derivative of j(w) wrt w.\nAnswer: -40*w**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210036754?\nAnswer: 2, 19, 131, 42193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -592325 - -592383. Suppose a - 2*d - 170 = 0, -4*a + 706 = 3*d + 2*d. What is the highest common divisor of a and z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 26*y + 13. Which is the nearest to 0.1? (a) y (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m + 31. Calculate the remainder when 40 is divided by z(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 11*p**3\/2 - 3187*p. Let n(y) = 0 + 0 + y. Calculate n(z(b)).\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2*t. Let h be o(3). Suppose -h*r = -0*r - 90. What is the greatest common factor of r and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.511312 months to years.\nAnswer: 1.959276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 5*f**2 - 5*f**2)*(-10 - 21*f + 10) + 5*f**4 - 4*f**4 + 0*f**4.\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16983 times -1.2\nAnswer: -20379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 4, f: 2}. Give prob of picking 1 t and 2 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321921 and 119367.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 - 8*p**2 - 5*p + 3. Suppose -29 - 51 = -10*b. Suppose -7 - 1 = -2*v. Let o(f) = -2 + v*f - f + 2*f**2 + 3*f**2 - 4*f**3. Give b*o(w) + 5*h(w).\nAnswer: -2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -0.001 (c) -5 (d) -2\/3 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44883 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3977219 grams in nanograms?\nAnswer: 397721900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s - 6. Let r(k) = -k**2 - 4*k - 5. Calculate -5*l(n) + 6*r(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*d + 30 = -2*p, 0 = -2*p - 2*d + 24. Find the second derivative of 2*x**5 + p*x - 14*x + 2 - 2 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 12:17 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*k - 3497280. Let y = 6771083810\/19361 - k. Let q = -2691167\/116166 - y. What is the common denominator of 77\/18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73947*p**3\/7 - 471*p**2 - 57072*p\/7 + 20172\/7 = 0.\nAnswer: -1, 82\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2087, 4186, 6277, 8360, 10435, 12502, 14561?\n\"Answer: -4*z**2 + 2111*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 7226*n\/3 - 69571.\nAnswer: -(n - 7197)*(n - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -365031 and -0.5?\nAnswer: 182515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/4 of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Suppose 0 = -5*u - 0*u + 15. Suppose -8*k = -11*k - u. Let r(c) = -c. What is k*b(f) + 3*r(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 1:57 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-5) + (10 - (1 - -3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*q**2 - 773*q + 773*q)*(1 + 4 - 1)*((-1 + 4 - 1)*(5*q - q - 2*q) + 0*q + 2*q + q - q + 0*q + 0*q) as f + j*q**2 + v*q + o*q**3 and give o.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 131*a - 131*a + 151 + 25*a**4 + a**3 - 63*a**4 wrt a.\nAnswer: -152*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*o - 16099 = -174*o + m, 3*o - 9649 = -2*m. List the prime factors of o.\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**3 - 3*y**2 - y - 4. Let i(h) = -7*h**3 + 5*h**2 + h + 3. What is -5*i(m) - 4*q(m)?\nAnswer: 3*m**3 - 13*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -23*r. Let k be t(-1). Let i = 47 - k. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121000 and 1331?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 - 82741031.862?\nAnswer: -82741393.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -560. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + 1*sqrt(1584) + -4)**2 + (2 + sqrt(1584) + -2 - sqrt(1584)) + 0)*5.\nAnswer: -960*sqrt(11) + 8244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18 - -6.82. Let r = d + -7.1. Put -2, r, -3 in decreasing order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 - 69*m**3 - 2*m**4 - 203*m**2 - m + 130*m**3 - 60*m**3 + 0*m**4 + 5 to r*m**2 + z*m**4 + w*m**3 + f*m + a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 117 (b) 2575 (c) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97\/24 + -27\/8. What is the third biggest value in 2, -0.07, y?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -10\/13 (b) -0.6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2367\/2 - -1184. Which is the closest to v? (a) -2 (b) 17\/5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4509, -6291, -8073, -9855?\n\"Answer: -1782*m - 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/30 - (34\/(-6) + 1). Solve h*m + 1 = 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1 + 5 - 8*b + 4 - 10 - 2*b. Let j be (8 - 0)*3\/(-4). List the prime factors of w(j).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18065 and -3.3.\nAnswer: -59614.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 27*u - 23. Suppose -2*o - 52 = -5*a, -108 = -4*a - 5*o - 40. What is the remainder when 46 is divided by g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23271190*j**2*z**3 - 4*j**2*z**2 - 47*j**2 + 16807*j*z + 6*z**4 + z**2 + z - 1 wrt z.\nAnswer: -139627140*j**2 + 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 1:10 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*h - 624, 0 = -x + 3*h + 129 + 185. What is the remainder when x is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*v + 1598*v + 1236*v**2 - 793*v.\nAnswer: 1236*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -405193 to the nearest one thousand.\nAnswer: -405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/30 - (-12)\/(-20). Let g(i) = 10*i - 3. What is g(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*x + 2*l, -42*x + 9*l = -35*x - 68 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.6, 0.33, 5, -0.1127, 4 in ascending order.\nAnswer: -9.6, -0.1127, 0.33, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 14*a**2 - 7*a + 17. Let j be 2\/13 - 2208\/156. Let n be f(j). What is the highest common divisor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 1099, 1513, 2069, 2815?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -22*p**3 + 10*p**2 + 15*p - 3. Let a be l(-2). List the prime factors of ((-38)\/6*-1 + -4)*a.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -28. Let z = 11.0039 + j. What is z rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 77*z + 61. Let j(n) = 170*n + 122. What is 2*j(l) - 5*s(l)?\nAnswer: -45*l - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*r, -j + 1 = 5*r + 2. Let w = -4 + 8. Solve -w = -0*d - j*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6022*s = -6032*s + 11699*s + 16685 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t + 15 = 15. Let s(j) = -3*j**2 - 6*j + 1511. What are the prime factors of s(t)?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*-3*(5 + (sqrt(1573) + sqrt(1573) + 0)*4 + -3) + -5)**2.\nAnswer: 223872*sqrt(13) + 57989881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.31 from 3.\nAnswer: -9.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20567\/12 + 1706. What is the common denominator of 807\/450 + (-2)\/6 and l?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2309, 4614, 6915, 9212, 11505, 13794, 16079?\n\"Answer: -2*v**2 + 2311*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 105. Is y < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 13825956*g - 23894632414242.\nAnswer: -2*(g + 3456489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 81*l + 496 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 55 - 242 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 11*n - 47. What is q(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8084 and 59107388?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011159 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 14. Let d be 4\/g*(0 + 0). Suppose d = -b - 3*b + 4. Sort -3, b, -4 in decreasing order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 8*x - 3. Determine b(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 901445 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a**2 - 1. What is u(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 540715 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17293\/8 - -2172. Calculate the common denominator of h and (-4)\/(-6)*474\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 1223 = 1663 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 82 divided by -95\nAnswer: -82\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-5)\/(-40)*-272. Suppose -30780000 = 77*m - x*m. What is m rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and 1\/269.\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/6214146 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22991871895 - -128\nAnswer: -22991871767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 25754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from wpwppw.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 45 = -13. Suppose v = 2*a + 2*a. Suppose -4 = -3*n + 5*x, 2*n - a = -4*x + 2*x. Sort -3, n, -2 in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154 - 3962 = -13*o. Let j be (-2 + 1 - -2)*89. Let v = o - j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 46*s**2 + 127*s - 104. Let h be k(-43). Sort h, -1, 0, -5.\nAnswer: h, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/9093 + 42863\/18186. Calculate the common denominator of u and 35\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238194 divided by 1.\nAnswer: 238194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*h - 541, 3*h - 5*c - 382 = 21. Let a be ((-66)\/15)\/((-2)\/10). Suppose 18*t = a*t - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 1}. Give prob of sequence zzx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 - -13.78. Let o = s + -9. Suppose r + 0*r = 2*y - 10, y = 3*r + 10. Which is the third biggest value? (a) y (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 27. Let i be m(23). Which is the nearest to -1\/2? (a) i (b) -0.03 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine fifths of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akaakvavkavakaazaz. Give prob of sequence vvk.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 + 21*n**3 - 23*n - 11*n + 2 + 33*n + 3*n**3 - 3*n**4 + n**2 to the form l + d*n**4 + m*n + z*n**3 + q*n**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2898 and 41\/48042.\nAnswer: 7734762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*r - 285 - 132 = -36*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 25*x**2 + 18*x + 171. Does 65 divide w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125.4*1506.8\nAnswer: -188952.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 3366?\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529380771*y**2 + 32 - 32 - 123*y**3 + 529380771*y**2.\nAnswer: -123*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adarayda. Give prob of picking 1 r, 1 y, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 37 + -27 - 19) + -34.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -3. Let t be (6\/(-54))\/((-3)\/18). What is the third smallest value in x, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -50, -109, -190, -293?\n\"Answer: -11*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*w - 2105748 = -3071*w - 20909*w for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 30 = -3*a. What are the prime factors of (-10 + 6\/(-2))\/(a\/108)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/3)\/(-1))\/(50\/(-15))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 1. Let v(k) = -2*k**2 - 41*k - 64. Let j(i) = i**2 + 21*i + 31. Let h(w) = -5*j(w) - 3*v(w). Let l be h(-15). Calculate g(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaisnlallinlnviilll. What is prob of sequence laln?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 198814133 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (7 + (5 - 6 - (-7 + 7)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283516 is divided by 70877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 8*j**2 - 9*j - 2. Let x be t(7). Suppose 63 = -3*p + l + 162, p = -5*l + 49. Let c be (p\/4)\/(5\/(-10)). Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -37.92. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24566015*z**3 + 1363*z - 2593?\nAnswer: 147396090*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.01 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -m - 3*s, -143*s + 142*s = 4*m - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*k + 4, -6*q + 3*k + 6 = -3*q. Let s = -104.9 + 104. What is the biggest value in 0.4, -1, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-7\/3)*s*s*s)*s**10*(s**20)**(-4\/15) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*u**2 + 2\/5*u + 2\/5*u**3 + 0.\nAnswer: 2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -964 - -964. Which is the nearest to 4? (a) w (b) -3\/7 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4349, -8678, -13017, -17372, -21749, -26154, -30593?\nAnswer: -35072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67\/(-1139) - ((-2484)\/9860 + 0). Is y < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n**4\/7 + 3166*n**3\/7 - 59124*n**2\/7 + 256506*n\/7 + 6344 = 0 for n.\nAnswer: -1\/6, 7, 13, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2890, 2845, 2800?\n\"Answer: -45*v + 2935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*j - 4*j - 7, -5*j - 8 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 182*k + 2693. Determine x(-73).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**6\/60 - 4*h**3\/3 - 2. Let k(w) be the third derivative of f(w). Let u(x) = 2*x**2. Determine k(u(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-5)\/2 + 2). Let a be (2 - f\/(-4)) + 3. Let q(v) = 24*v**3 + v. Let t be q(1). Solve -4*g + 5*b = -a*g - t, -5*b - 25 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27176931 and 2664405.\nAnswer: 135884655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(2*u**2 + 1 + 2*u - 1).\nAnswer: 4*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6)*z)\/z)\/z)**(-2) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.43 or 15.031?\nAnswer: 15.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88100405 divided by -5?\nAnswer: -17620081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90513789 - 265\nAnswer: 90513524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 + 168. Let l be 10\/84 - 4\/14. Which is the closest to l? (a) -1\/5 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -67, -2, -301 in ascending order.\nAnswer: -301, -67, -51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3164 divided by 4.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + q**2 - 2*q - 2. What is x(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3531194.\nAnswer: 2, 1765597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172 (base 8) to base 12.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose -8 = -8*n + 32. Solve n*m - 2*p + 25 = u, m - p + 5 = -4*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 58*s - 34. Give p(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 3*b**3 + 2*b**3 - b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104356422 < 104356426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 6.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002239061 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6035062*s**6 - 8619969*s**2 wrt s?\nAnswer: -724207440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14263 + 5?\nAnswer: -14255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 380*d**3 + 7*d**2 - d - 10. Let y = 4 + -11. Let p be f(y). Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 1)*(0*x - 2*x + 4*x) - 69*x - 335*x + 64*x - 57*x)*(-x + 1 - 1).\nAnswer: 391*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -q - 79 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2147*d - 2147*d - 16*d**2 + 1 as x + w*d + t*d**2 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyq when three letters picked without replacement from yqqysu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 62685.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2390 - 2410. Let w = 4 + -7. Is (p - -23)*((-260)\/w)\/1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20988 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30720 is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3153331099 - -10\nAnswer: -3153331089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6072062.3 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27497, 38157, 48817, 59477?\nAnswer: 70137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a47 - 33?\nAnswer: -1a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, g: 1, m: 4}. What is prob of sequence gmoo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -647 + 2129. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 12*u**2 + 35)*(11 - 11 + 3*u)*(0*u - 4*u + 3*u).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 57. Factor -r - 7 + 1 - 12*r**3 + 17*r - 2*r**5 + 10*r**4 - 4*r**2 - q*r.\nAnswer: -2*(r - 3)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8893.5 - -8893. Sort j, 2, -2\/11, 35, 5 in ascending order.\nAnswer: j, -2\/11, 2, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21) + 19\/7. Suppose 0 = n + o*n - g + 11, -4*n - 20 = -4*g. Let x(z) = z + 4. Let m be x(-7). Which is bigger: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -18*g - 353. Let y be l(-23). Which is bigger: 60 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1306.57*0.179.\nAnswer: 233.87603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 36. Solve 8*d = n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.08199517 to 3 decimal places.\nAnswer: -11.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104323 by -51.\nAnswer: -104323\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745266 is divided by 1212.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 6 = -20*u, -4*k + 5*u = -22. Suppose 47*l = 45*l + k. Solve f = -l*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*k - 132. Suppose 7*x - 90 - 141 = 0. Calculate the smallest common multiple of k and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 7*q = 5. Suppose q*h + 22 = -13. Let u be (-7 - h) + (-1 - -3). Solve -u*y = -2*g + 6, 4*g = -2*y - 3*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 22 + 2 + 3 + 8 + 11 + -15.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*k + 3264 = 762*k - 13998 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4619 or 5171?\nAnswer: 4619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-3*(-69)\/(-36)*(-520)\/(-325)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/33, 9, 1, 5?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**3 + 6*r**2 - 4*r + 7. Let f(h) = 7*h**3 - 6*h**2 + 4*h - 7. Let p(c) = -7*f(c) - 6*i(c). Determine p(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.29289, 2, 0.306?\nAnswer: -0.29289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 379286963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 564068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-4\/7))\/n)**(11\/5)\/(n**(-1\/42)*n\/(n**(-1)*n*n*n)))**(-8) assuming n is positive.\nAnswer: n**(-1916\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3699920 and 14000?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52486072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 36*i + 175. Calculate k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 37.4. Let q = -432\/5 - -86. Which is the third biggest value? (a) j (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -159*t + 4811. Let n(i) = -5*i**2. Give v(n(j)).\nAnswer: 795*j**2 + 4811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24273ml in litres?\nAnswer: 0.00024273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -253*j + 1186 - 1720 - 2502 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -0.08469?\nAnswer: -8.91531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 392 = -3*f. Suppose 108*x + 63*x = 142*x + 2900. Is x greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 57 - 6194?\nAnswer: -613a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 3*n**2 + 4*n**2)*(0*n**2 + 2*n**3 + 0*n**2) - 23*n**2 - 21*n**2 + 66*n**5 + 44*n**2.\nAnswer: 62*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 49. Determine g(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*a - 2*a + 31, -4*g - 20 = 0. Let f = 0.3 - 1.3. What is the closest to f in 1\/3, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 4 = 0. Suppose -f = 4*b - 20, f = -4*f + z*b + 100. Solve 5*s = -0*n - 5*n + f, -4*n = -4*s - 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(1\/4)\/l))\/(l*l**(5\/4)))\/(l**(-1\/9)*l*((l**(-1\/4)*l*l)\/l*l)\/l) assuming l is positive.\nAnswer: l**(-77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2)*(-11)\/33)\/(44\/264). Solve 0 = -t*h - w + 55 - 69, 0 = -2*h + 3*w + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033570 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -28*q + 32*q - 4292, -4*a + 5*q + 8571 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((sqrt(2448) - (sqrt(2448) - 4*(sqrt(2448) + 0)))*3 - 6*(-2 + 1*sqrt(2448))) + 2)*-4)**2.\nAnswer: 32256*sqrt(17) + 1413189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1255.133*-86.\nAnswer: 107941.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 21*p + 14. Let o(n) = n**2 + 12*n + 8. Let s(g) = 7*o(g) - 4*w(g). Let b(i) = i - 1462. Give s(b(u)).\nAnswer: -u**2 + 2924*u - 2137444","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 85, 84, 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5854*82\nAnswer: -48.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) -0.4 (c) 1\/6 (d) 67 (e) -5 (f) 7 (g) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387\/3 - 6*(-2)\/(-4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 9*k + 16. Let r be n(-8). Suppose -r*o - 12 = -4*o. Let j be 2 + 2 - (o - -6). Solve u + j = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) 0.03 (d) 2.8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-7) - ((-2208)\/(-112))\/46) + 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*b**2 + 2*b - 10*b + 6*b wrt b?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 12?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -78. Let y = -1 - -1. Which is the closest to y? (a) 0.2 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, u: 1, g: 1, d: 2, f: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -27075 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.94 + -42. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 22*z**2 - 44*z - 20. Let i(t) = -56*t**2 + 109*t + 50. Let d(b) = -5*i(b) - 13*p(b). Give d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*a**3 + 15\/2*a + 7\/2*a**2 - 9 - 1\/2*a**4.\nAnswer: -(a - 2)*(a - 1)*(a + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 - 5. Let i = -3.9 + j. Let u = -0.2 + 2.2. Which is the second biggest value? (a) i (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19516 and 25840.\nAnswer: 7416080","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 146581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.8. Let i = -116 + 113. Put i, d, -0.5 in decreasing order.\nAnswer: d, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0. Suppose -f + 1 = -c - 2, -5*f = 5*c - 15. Is z > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101110001111001 (base 2) to base 12.\nAnswer: -166361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.753186 micrometers in nanometers?\nAnswer: 7753.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 16*g + 10. Let a(d) = -4*d**2 + 49*d + 29. Let s(z) = -2*a(z) + 7*j(z). Let w be s(-14). Solve -2*o + w = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 10 = -10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26*((-4 - 68\/(-8)) + -4) and (((-69)\/(-135))\/1)\/(2\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1495, 6102, 13815, 24652, 38631, 55770, 76087?\nAnswer: 99600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 342, -8 in increasing order.\nAnswer: -8, -2, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = -4*u - 22, -5*x + 23 = -u. Let v = -2 - 0. What is the units digit of ((-6)\/u)\/(v\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w, 6*b - 6*w = 7*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/270392753 and -95\/4.\nAnswer: 1081571012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*y = 2*y - 10, 0 = -5*y - 15. Let r = 20 - x. Suppose 6*h = 2*h + 32. Calculate the smallest common multiple of r and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835139+11530\nAnswer: 846669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 180, 711, 1600, 2859, 4500, 6535, 8976?\n\"Answer: 2*c**3 + 167*c**2 + 16*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5\/8 - 135*x**4\/2 - 273*x**3 + 48591*x**2\/4 + 198741*x\/8 + 49959\/4 = 0. Calculate x.\nAnswer: -14, -1, 13, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8022)\/7*-1 - 2. Let j = u - -723. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 14 = -5*p. Let n(b) = -7 + b + p. Let i(c) = 10*c**2. Determine i(n(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 15*s + 39. Let i be j(-12). Suppose k = -2*o + 29, i*o = 2*k + 2*o - 33. What is the greatest common factor of k and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/5 + 2\/5. Let x(w) = w**3 + w**2 + w + 6. Let z be x(0). Let o be 2 - (2 + 0 - z). Solve -2*r - 4*j + o = -12, 5*j = -y*r + 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*225\/(-240)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 26. Suppose 7*u = -u - 48. Let m be z(u). Suppose -3*b = -5*b. Solve 0 = -b*c + m*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7120 and 109955940.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + j - j. Let f(u) = u. Let h(x) = 12*x - 4*x + 1 - 1. Let v(n) = 18*f(n) - 2*h(n). What is d(v(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226 is divided by 1905?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (216 - 10*y**2 - 216)*(-5*y + 0*y + 0*y).\nAnswer: 50*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*f + 135*f + 185*f - 2590380 = 0. Is f a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:18 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 246732 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140004 = 2*q - 0*c + c, 4*q - 2279988 = 3*c. What is q rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 208929*h + 417828. Determine d(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 724 = -21994. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2 + 8 = 5*x, 4*x + 2*w = -3*w + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16026, -15848, -15670, -15492, -15314, -15136?\n\"Answer: 178*s - 16204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooq when four letters picked without replacement from {o: 4, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 357454 = -15*p + 20*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.00000032 + -60. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 + 304132*n**3\/3 - 23123764222*n**2\/9 - 15416146948*n\/9 - 2569374721\/9 = 0. What is n?\nAnswer: -1\/3, 50689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118626790.\nAnswer: 2, 5, 11862679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*x - 92*x - 97*x - 95*x - 78*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 1788779?\nAnswer: 1788779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-19)\/(1080\/180*(-2)\/4)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62699041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -29. Solve g = -g + b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 357275*x**4 - 459306*x?\nAnswer: 4287300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11853\/13170 - 7\/2?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, -4, -1, 1.1, 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - 7 - (2 - 4). Suppose -a + 23 = -o*d, a + 2*a - 82 = 2*d. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, 2\/9, -5.\nAnswer: -5, -1, 2\/9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by 2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 40*c**2 + 2*c - 78. Let z be q(40). Let w be -3 - (-16)\/z - 1. Calculate the highest common factor of 46 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.154 in -2, -0.5, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 126384504.6 to the nearest 100000.\nAnswer: 126400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -46*q - 127 - 226 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.8 - 26.8. Let h(l) = l - 1. Let r be h(-3). Which is the closest to 2\/7? (a) 0.2 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/14 + 4\/(-14). Let v(p) be the first derivative of -1\/2*p**2 - 2*p**3 + 0*p - 2. Calculate v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16236, -0.5, 16.\nAnswer: -0.5, 16, 16236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - l**3 + 2*l**2 + 0*l**3)*(-22 + 22 - 3*l).\nAnswer: -3*l**4 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*w - 2*w - w**2 - 2*w + 1)*(-w**2 - 5*w**2 + 2*w**2) to n + o*w**4 + f*w**3 + u*w**2 + x*w and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 2*v + 3*v, 0 = -i - 3*v - 6. Are -30\/113 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**3 + 2*u**2 - 2. Let f(y) = 15*y**3 - 5*y**2 + 4. Give -2*f(o) - 5*t(o).\nAnswer: 5*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -468546.32 rounded to the nearest 100?\nAnswer: -468500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 16, 267 in increasing order.\nAnswer: 1, 7, 16, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*o - 15, -6*o - 17 = 3*y - 5*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6 and 1\/(-2)*(-204)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478348389 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 take away 5205.6729?\nAnswer: -4054.6729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.1 and 178483.\nAnswer: 1624195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - 2165\/(-25). Suppose 0 = -6*c + 3*c - 5*n + 109, -5*n = -4*c + a. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 4*d + 5. Let u be x(4). Let p = u + -5. Calculate the common denominator of -12\/5 and 20\/11 + (0 - p).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 7*m + 3. Let h(v) = -v**3 - 5*v**2 - 3*v - 17. Let s be h(-5). Let c(g) = -g**2 - 2*g - 1. Let t(o) = s*j(o) - 9*c(o). Determine t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/6 + 163*t**2\/6 = 0.\nAnswer: 0, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7463\/5738 - 46\/151. Let z = s + 2\/19. Let n = -0.4 + -2.6. What is the closest to -1 in z, 5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 2274 + 2398. Suppose -293*g = -a*g - 789. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 125.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 25*k**2 - 26*k - 43. What is s(-5)?\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d**2 - 4*d**3 - 71*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 3*m**3 - 3*m**2 + 4*m**2.\nAnswer: -11*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.57 + -15.27. Which is the biggest value? (a) -37 (b) 1\/4 (c) -9\/2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14762 is divided by 1058?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*g + 609. Let s = g - 53. Is 1\/(((-3)\/s)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111111 - -100?\nAnswer: -11001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 6*r**2 - 6*r - 4. Let a be k(7). Suppose -3*c + 5*n - a = 0, -4 + 0 = 2*c - 4*n. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 - 5*q. Let b be v(-4). Let a = -163 + 283. Let z be ((-32)\/a)\/(b\/(-10)). Is z smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 541402.2 nanometers?\nAnswer: 0.5414022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:44 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:37 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14235 - 8615. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.41475 - 0.02625. Let o = -0.559 + k. Which is the closest to -1\/3? (a) 3 (b) o (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7075 = 4*n + 907. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -274131966*i + 483199541?\nAnswer: -274131966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 2*d**3 + 5*d**3)*(-345 + 311 + 297 + 466).\nAnswer: 3645*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -13\/4 (b) 3\/7 (c) -0.5 (d) -4 (e) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imz when three letters picked without replacement from {m: 3, x: 4, z: 4, i: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 - b**2 + b - 2 - 2*b**2 - b**2 + 3*b. Let t be d(3). Let m = -31 + t. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 - 130*h - 55*h**2 - 325 + 139.\nAnswer: -55*h**2 - 130*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.861 - 8910.209294.\nAnswer: -8909.348294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 38*t**2 - 24*t - 913. Determine y(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/13 - 38*t**4\/13 + 176*t**3\/13 - 184*t**2\/13 = 0. What is t?\nAnswer: -23, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + (2 - 2))*2. Solve -i + 4 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-49))\/((-18)\/(-21)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2256778.886 rounded to the nearest one hundred?\nAnswer: -2256800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u**3 + 27*u**2 - 218*u + 11. Is z(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/20 + 19*f**4\/12 - 35*f**3\/6 + 21*f**2\/2 + 2*f + 1. Let a be v(17). Solve 36 = -8*g - a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4825200 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from ororrgrrrgrgorrrrog.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3075?\nAnswer: 3075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21097 and -3.\nAnswer: 21094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**3 - 3*n - 6. Let a(j) = -30*j**3 + j**2 + 11*j + 25. Let h(z) = -2*a(z) - 9*u(z). What is h(-3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 208454, 416892, 625314, 833720, 1042110, 1250484, 1458842?\n\"Answer: -8*u**2 + 208462*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))**2*2 + -4)*6.\nAnswer: 12 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 396 = -25*a - 1672. Let g = 5 - 12. Let u = g - a. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**7*y)*y**(-1\/11))\/((y\/(y*y**(3\/2)))\/(y\/(y*(y\/(y**(-5)*y)*y)\/y))) assuming y is positive.\nAnswer: y**(-233\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65273935 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 108650*p - 3485. Let v(f) = -187*f + 6. Calculate 6*t(w) + 3485*v(w).\nAnswer: 205*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1702 and (-68)\/((-2720)\/178)*3\/((-222)\/4).\nAnswer: 8510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3101, 3 in decreasing order.\nAnswer: 3, 0, -3101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32987749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a**3 + a**2 - 2*a - 2. Let c = -8 + 7. Calculate the lowest common multiple of v(c) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/4 + 11*z**3\/3 + z**2 + 17*z. Let d be o(-7). What is the remainder when 11 is divided by (2 + d\/2)*-14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 2*i**2 + 56*i - 170. Let f = 13 + -8. What is the remainder when k(3) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4517 + -0.0217. Let y = -0.57 - v. Let b = -1 - -5. What is the second biggest value in b, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72502 is divided by 14283.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*z - 5*z - z**2 + 4*z + 11*z in the form k + r*z**2 + x*z and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1631 and -151.\nAnswer: -150.8369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/(-8) + (-6)\/(-8). What is the common denominator of 5\/70*(1 + a) and (10\/(-75))\/((-12)\/(-125))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -7)\/((-1)\/(-2)) - -2. Suppose 0 = 2*j + j + w - 14, -3*w - 12 = p. What is the lowest common multiple of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198\/19 + -1391\/190. Calculate the common denominator of n and (84\/6)\/((-1)\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f + 188. List the prime factors of p(28).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7089.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2740478 divided by 2?\nAnswer: -1370239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3275 is divided by 1054?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 13926 = -36943. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkhkkkkkhkhkkkkhk. What is prob of sequence hkk?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1010*b**3*c*p**3 - 37*b**3*c + b**3 + 42*b**2*p + 1214*c*p**3 - p wrt p.\nAnswer: 6060*b**3*c*p + 7284*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -2*l**3\/3 - 12*l**2 + 5*l. Let p be x(-18). Suppose 4*t = -0*t + p. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 15*x**2 + 14*x + 7. Calculate y(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 3186, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z**2 - 22*z - 11. What is the hundreds digit of d(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by ((4\/6)\/((-8)\/18))\/((-639)\/152934).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7435300*x**2 + 4990489?\nAnswer: 14870600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492 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 next term in -162532, -650153, -1462854, -2600635?\nAnswer: -4063496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28081439, 56162857, 84244275, 112325693?\nAnswer: 140407111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 374706611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404879 is divided by 1517?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.2 (b) -2.26 (c) 153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - ((-3)\/(-6))\/((-10)\/172). Let c(k) be the first derivative of 0*k**2 - 13*k - y + 0*k**3 + 0*k**4 + 7\/5*k**5. Differentiate c(q) wrt q.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15125796407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-22) - (-3412)\/44. What is the greatest common factor of 176 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 36, 48, 62, 78, 96?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -17\/24*u**4 + 1\/10*u**5 + 0*u**3 - u**2 + 0 + 0*u. Find the second derivative of g(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20 + 0*o**3 + 34*o**2 - 26*o**2 + o**3 + 4*o. Let j be m(-6). Calculate the greatest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -301*v - 1. Let z be u(-1). Suppose 2*s - z = -s. Suppose -2*q + s = 5*g, 3*g - 3*q + 4 = 64. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.512011 take away -357.7?\nAnswer: 358.212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -4 (c) -49 (d) -8\/159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002121022110 (base 3) in base 11?\nAnswer: 36a0957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Suppose -5*f - 20 = 0, -t*j + 3*f = -69 - 13. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8069714*j. Let h(w) = -w. Give l(h(a)).\nAnswer: 8069714*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532440.6 micrometers to meters.\nAnswer: 0.5324406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 741*z - 5452. Calculate y(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3 + 23 + 3 - 5. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-42) - (3 - 132\/21). Solve 4*y - 8 = o*t - 3, 0 = -y + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3007\/30 + -542\/5. What is the common denominator of n and (-36)\/80 + (2 - 1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -5)\/5 - 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-25)\/(-15) - 2)*-153. Suppose -41 = 5*y - n. Which is the third smallest value? (a) 8 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(4 - (-1167)\/(-294)). Suppose -6*v = -3*v - j. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6424 + -5849. Suppose -29*h + 23 = -28*h. Calculate the highest common divisor of h and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 8*n - 7. Let y(w) = w**2 - 8*w + 7. Let g(v) = -5*y(v) - 4*z(v). Let s be ((-5)\/2)\/((-2)\/4). Give g(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409864 and 728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.3789 and -0.5371.\nAnswer: -2.88900719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2 - 5*f + 4. Calculate x(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 89 + 48 - 27*x + 10*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14 + 1206*x**2 - 14 + 562*x**2 - 166*x**5 + 2581*x**2 wrt x?\nAnswer: -9960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2287361508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10836\/430)\/((-2514)\/(-8750) + (-4)\/14).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, -1, 1.5, -6, 0, -17.79?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(2) + sqrt(4)\/(sqrt(2) + sqrt(22)\/sqrt(11)) + sqrt(2))*-2 + -5))**2.\nAnswer: 720*sqrt(2) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -226, -235, -234, -217, -178, -111, -10, 131?\n\"Answer: u**3 - u**2 - 13*u - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 5. Let h be l(-2). Let c(j) = 2*j - 2. Let v be c(h). Let o be (-300)\/(-16) + 1\/v. Solve -3*i - o = i - 5*a, 4*a = -5*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 43 + 8. Calculate the remainder when 18 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 - 89*o - 515. What is c(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6502903 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + 7.12. Let l = 10 + n. Let g = 16.94 - l. Round g to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -963, -8035, -27071, -63999, -124747, -215243?\n\"Answer: -988*d**3 - 54*d**2 + 6*d + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - 81. Let b = n - -115.99591. Round b to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 2 + 4*g**3 + g**3 - 11*g**2 + 5*g + 1. Is p(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 9*n**2 - n + 3. What is s(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y - 110 - 51 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 416431283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/54 + ((-1228)\/18 - -2). Let o = u - -69. Suppose o*b - 71 - 13 = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4333611 - 1221*l + 4333611.\nAnswer: -1221*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 7. Let f be q(4). Let p be f\/2*4\/(-2). Solve -p = 3*g - 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeeeeeeeeeeeeeeeee. Give prob of picking 1 e and 1 j.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/688951?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 + 5*v - 10*v + 3*v - v.\nAnswer: -3*v + 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 7:00 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1239399 + -1018801. Round u to the nearest ten thousand.\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*k - 10*k. Suppose v - k*b = -16, -3*v - 15 = b - 5*b. What is the nearest to v in 0.2, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) - ((sqrt(143) + sqrt(143)*5 - sqrt(143)) + sqrt(143))))\/sqrt(11)*-1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 332 and 611.\nAnswer: 202852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3 + 6190*w**2 - 6155*w - 37110 = 0.\nAnswer: -2, 3, 1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.77288 years in months?\nAnswer: 249.27456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -121, -3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122734085, 122734084, 122734083?\nAnswer: 122734082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 6*m + 22.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 1695 + 1695.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 921*d**3 + 10*d**2 + 5*d + 2131. What is the second derivative of o(k) wrt k?\nAnswer: 5526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*f + 12 = 0, 192*a - f + 4 = 195*a. Suppose -68 + 8 = -3*t. Solve 5*w + v - t = 0, 2*w + w - 3*v - 12 = a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181090 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14139 - -76176. What are the prime factors of c?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 0 + -11 + 12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 11*b. Let t(f) = f**2 - 7*f - 3. Let j be t(8). Let y = j + 1. Is 8 a factor of l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:22 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 558, -5, 22 in increasing order.\nAnswer: -5, 4, 22, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(112) + 4 + sqrt(112)*-2)**2 + 5 - (sqrt(112) - 2*(sqrt(112) + (1 + sqrt(112))**2) - ((5*sqrt(112)*-2)**2 + sqrt(112))))*-4.\nAnswer: -231180 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2529? (a) -0.6 (b) 1\/10 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3960 - 3965. What is the closest to 1 in -8, 73, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 14688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 7*r - 16. Let s be (r\/(-3))\/(5\/(-1725)). Suppose -66 = -2*i + s. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 18 + 3. Suppose -l + 3*l = -3*f + 18, 49 = 3*l - f. Let s = z + l. Calculate the smallest common multiple of 4 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 1. Let c be n(5). Find the second derivative of 4*h + 5*h**2 - 4*h + c*h wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from uhuhullhuuluulunuj?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -17, 4, 43, 106, 199?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Let t = 16085 - 16077. What is the closest to 0 in v, -2\/9, 9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 + -190. Suppose -4\/3*m**2 + 4\/3*m**4 + 2\/3*m**w + 0*m**3 + 0 - 2\/3*m = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**2 - 10*x + 7. Let q be g(-2). Let z be q*3\/(-9)*6\/4. Solve 0 = z*y + 5*v, 0 = -2*v + 3 + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 18420 = -18121 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 1, y: 2, m: 4}. Give prob of sequence ommo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47\/68 + 135\/17. What is the common denominator of 89\/24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 9970*k + 4970045.\nAnswer: 5*(k + 997)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/308*21*50\/2625\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 - 690*u**2 + 8442*u - 25488.\nAnswer: -3*(u - 6)**2*(u + 472)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 3. Let o be g(11). Let b = o - -20. Let h be 12000\/(-9)*981\/b. What is h rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*g = 55, -p = 2*p - 5*g + 33. Let y = -1.46 + 1.56. Which is the third biggest value? (a) p (b) y (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2692313217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (-16)\/(-4))\/1. Suppose b = 9*f - 14*f + 10. Let q(p) = -25*p + 9*p + 9*p + 3 + p**f. Determine q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 441*q**2 - 1. Let y be v(1). Suppose -5*a + y = 6*p - p, 428 = 5*p + a. Calculate the greatest common factor of 34 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6*((-232)\/(-72))\/((-12)\/18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -45 in descending order.\nAnswer: 3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6970525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -30 + (-11357)\/(-369) + -3*4\/(-54). Let t(j) = -j**2 + 1. Let v(c) = c - 4. Determine b*v(q) + 4*t(q).\nAnswer: -4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 27*g**2 - 5*g - 131. Suppose 243 - 729 = -18*z. Let y be t(z). Which is smaller: -265 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497493863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 31\/3)*18\/(-8). Find the third derivative of 8*w**2 + f*w**2 + 8*w**2 - 26*w**2 + 59*w**3 + 12*w wrt w.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-33))\/(-1))\/((-9)\/27).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7638378 divided by -3?\nAnswer: 2546126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (50 - 38 - (-4 - 28)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9065, 8973, 8839, 8669, 8469, 8245?\nAnswer: 8003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 113*g - 26. What are the prime factors of q(13)?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 0.3 (c) 2853.5 (d) -2 (e) -1\/7 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.991571 kilometers in nanometers?\nAnswer: 9991571000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2096, -682, 728, 2134, 3536, 4934, 6328?\n\"Answer: -2*y**2 + 1420*y - 3514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(1*sqrt(10)) - (sqrt(19) - (-1 + sqrt(2299)))) + -5.\nAnswer: -6 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3692*w - 3702. Calculate f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(209) - sqrt(209))*-6 - -1*-2*sqrt(209))\/(sqrt(1584)*-2*-1))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35.61 times 0.58\nAnswer: 20.6538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*i + 178*i = 77760. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -150, -150, -140, -114, -66, 10, 120?\n\"Answer: x**3 - x**2 - 4*x - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1156 and 11832?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -119860624 divided by -208\nAnswer: 576253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.3 + 42.2. Let a = -37 - p. Let w = 1 - a. Which is smaller: -4\/9 or w?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2 - 11 = -5*x, -2*y + 4*x = 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/27740 and 49\/2640.\nAnswer: 3661680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 3.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m + 29*m - 60*m = 132*m - 17*m. Let b = -4169\/36386 + 14\/113. Which is greater: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 28 = 5*n + 7, -24 = -4*h - 4*n. Solve l + h = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + 11*u + 2. Let w(t) = 13*t**2 - 60*t - 9. Let l(f) = 11*j(f) + 2*w(f). Determine l(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 11. Suppose -3*y = 5*r - 35, -22 = -4*r + 5*y + 6. Let x(b) = -7*b - 3 + b + r*b. What is -6*o(q) - 22*x(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c - 725 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 669, 1330, 1987, 2640, 3289, 3934, 4575?\n\"Answer: -2*k**2 + 667*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 63 = 9. Let j be 48\/64 + (-121)\/(-4). Let g = j - r. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*v + 611*v - 2*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 3 - 2*o**3 + 5 + 11*o to the form j*o**3 + d + m*o + l*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-1)\/((-9)\/12 - 4\/(-4))). Solve y = -120*r + 146*r + 130 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12122 (base 3) to base 2\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -1, -118 in ascending order.\nAnswer: -118, -1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14*m**(-1\/8)*m)\/((((m\/(m*m**(10\/7)))\/m)\/m)\/m**1) assuming m is positive.\nAnswer: m**(1081\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 21*u**2 - 22*u + 7. Let b be w(20). Let q be (-233)\/(-77) + b\/(-77). Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(700)*2*3 + sqrt(700) + sqrt(700))*-2 + (6*1*sqrt(700) - (sqrt(700) - ((sqrt(700) - sqrt(700)*2)*3)**2)).\nAnswer: 690*sqrt(7) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92456.02 minutes in nanoseconds?\nAnswer: 5547361200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, a: 3, t: 3}. What is prob of sequence paa?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 - (-82 - -90).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 7*o + 17. Let c be m(-7). Let y = c + 104. Is 13 a factor of 7 - 4 - y\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.395 not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*s + 34 - 299 - 677 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 196*m - 119. Let h(p) = 2*p. Determine l(h(x)).\nAnswer: 392*x - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z**(-21)\/z*z))\/z)\/z)\/z**30*z**(-1\/4)\/(z\/((z\/(z\/z**(5\/9)*z)*z)\/z*z)) assuming z is positive.\nAnswer: z**(-349\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 18 - 16*d - 10 + 15*d - 24. Give k(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250733 - -250590.227. Round z to the nearest integer.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 1. Let s(l) = 0*l + l + 3*l - 1. Let y = -6 + 0. Let t = 2 - -3. Give t*m(i) + y*s(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 18*r**2 - 64*r + 18. Let m be d(13). Find the third derivative of -2*o**2 + o**2 + 46*o**3 + m*o**3 + 8*o**3 wrt o.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93205?\nAnswer: 5, 7, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 59*k - 35 + 0 + 2*k + 0 + (0 + 0 - 3*k)*(1 - 1 - 3))*(6*k**2 - 1 + 1).\nAnswer: -288*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -4)*1\/(-2). Let x(y) be the second derivative of -r*y**2 + 1\/30*y**6 + 0*y**4 + 0 + 0*y**3 + 2*y + 0*y**5. Differentiate x(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y**4 + 1167*y**3 + 1023*y**2 - 114*y = 0.\nAnswer: -38, -1, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)\/(v\/(v**(-1\/6)*v)))\/(v*v\/v**(-3\/8)*v**(-2\/7)))\/(v**(-2\/13)\/v*(v**9\/v)\/v*v*v)**(-1\/34) assuming v is positive.\nAnswer: v**(-13159\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*i - 10, -8*h = -12*h + i + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -80*w + 1846. Determine a(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 0*w**4 + 9*w**4 + (6*w**3 + 0*w**3 + 4*w**3)*(5*w + 2*w - 5*w) + (w**3 + w - w)*(-w + 1 - 1).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -779, -777, -773, -767?\n\"Answer: p**2 - p - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551928597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.998 - 0.002. What is the nearest to -2 in 2, -2\/7, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003601 rounded to 6 decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2) + (-7 - -7). Suppose -4*s = -n - 39. Calculate the remainder when s is divided by ((-18)\/33)\/((-1)\/11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) + 0 + (-35)\/(-14). Suppose 0 = -3*p - 2*l + 51, h*l + 3 = l. Let m = -23 + p. Which is greater: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(3\/(21\/2)). Suppose -5*t + i*t = 140. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**4 + 65*o**3 + 199*o**2 + 115*o - 25 = 0. Calculate o.\nAnswer: -5, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1394591*-75\nAnswer: -104594325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 94*t - 51. Let v be g(-23). Put v, -1, 4, -7, -3 in increasing order.\nAnswer: -7, v, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687000 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from ggqhimmgmrimqhih?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*s**2 + 24 + 198*s**2 + 202*s**2 - 597*s**2 - 41*s + 1898*s**5 wrt s.\nAnswer: 37960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.733 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -1. Let c be (26\/(-104))\/((-46)\/(-24) - 2). Suppose -c*f + 4 = -2. Sort 7, f, -3, o.\nAnswer: o, -3, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1 + 2 + 2 - 1 + 2*j. Let w(b) be the third derivative of 5*b**4\/24 + b**3 + 4*b**2. Suppose -6*s - 59 = 7. Calculate s*a(o) + 4*w(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -33213432?\nAnswer: -33213441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 5*v = 14*v. Solve v = 6*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -19 + 20 + -32?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1221 = 2*q, -1359 - 1671 = -5*q + 5*o. Suppose 5*i + 18 = q. Let x = i + -34. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - -6 - (0 + -34). What is the units digit of (266\/b)\/((-2)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-78) - (-1)\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10584\/2205)\/((-12)\/(-15))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(1216) + -2 + -3 + 0)**2 + 3.\nAnswer: -144*sqrt(19) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/10837 + 1267869\/216740. Let a = -936821\/3 - -309302. Let k = a + 107081\/36. Calculate the common denominator of p and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and 2.194.\nAnswer: 5.0462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 6*h - 64 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/6)\/((-230)\/30 - -7). Suppose 0 = 10*m - n*m - 270. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10072\/35 - 2013\/7. Put 4, -0.83, 0.1, l, -1\/2 in increasing order.\nAnswer: -0.83, -1\/2, 0.1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-1))\/(38\/(608\/16))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/15 + v**5\/30 - v**3\/6 - 27*v**2. Suppose a - 7 = -8. Let g be a\/((-6 - -3) + 4). Calculate q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r + 2 = 0. Let c be r\/(-7) + 162\/21. Suppose -c + 2 = -2*y. Calculate the remainder when 14 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zund when four letters picked without replacement from {u: 5, n: 2, z: 1, d: 1, r: 11}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -34*i**3 - 4*i**2 + 7. Let j(s) = 11*s**3 - 2 + 2600765*s - 2600765*s + s**2. Calculate -14*j(p) - 4*m(p).\nAnswer: -18*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**39)**(2\/17)\/((j\/(j\/j**0))**(5\/6)\/(j\/j**0*j)**(2\/19)) assuming j is positive.\nAnswer: j**(3032\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/3 + 1412*z**4\/3 - 1408*z**3 + 4220*z**2\/3 - 1406*z\/3 = 0.\nAnswer: 0, 1, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -8*z - 21*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjbb when four letters picked without replacement from {b: 17, j: 2}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**5 + 17*o**4 + 11*o**2 - 48. Let c(f) = 2*f**5 + 8*f**4 + 5*f**2 - 24. Let b(t) = 13*c(t) - 6*n(t). What is the third derivative of b(s) wrt s?\nAnswer: -240*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -301, -297, -291?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1589.88 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/140)\/((-34)\/(-16) - 2) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - v - 7. Let n be y(-5). Let j = -8 + n. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459867*t - 283590*t - 205531*t - 86384*t.\nAnswer: -1035372*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -83. Let o(j) = j**3 - 4*j**2 + 2*j - 2. Let n be o(2). Let y be (-4)\/(-6) - 20\/n. Solve -5*h + f = -3*l, y = -3*h - l + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3380 + -3378. Let z(y) be the first derivative of -8 + 1\/3*y**3 - 3*y - y**q. What is i in z(i) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 1. Suppose 2*q + 0*q = -4*l, -3*q + 27 = -3*l. Suppose -6*d - 7 + 37 = 0. Calculate the least common multiple of d and w(q).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 43 + 237*c**4 - c**3 + 84 - 158*c**4 + 2*c in the form j + g*c**2 + o*c + t*c**3 + y*c**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468) + -5 + -3)**2.\nAnswer: 96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 44347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 688*w + 4164. Calculate n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23180 or -23154?\nAnswer: -23154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/5 + 3816*y**2\/5 - 4853952*y\/5 + 2058075648\/5 = 0.\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, -16, -1, -3, 0.07, 2\/13?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-25))\/((-7)\/(-14)))\/((-18)\/180).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a71 (base 11) to base 14.\nAnswer: -d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 89 = -2*n - 5*q, 5*q + 241 = -21*n + 14*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20758 and -89\/12412.\nAnswer: 1203964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = 32. Let t(f) = f + f - i + 0*f. What is the units digit of t(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 32, -1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1098*g - 1100*g + 19381 = -1079. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*w + 26*w. Suppose 3*m - 4*m = w. Solve -3*u + m = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 95503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -11, 1 in decreasing order.\nAnswer: 1, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34841412 to the power of 1\/2, to the nearest integer?\nAnswer: 5903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 21*j - 27. What is g(-21)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3716831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -330251405 (base 6) in base 8?\nAnswer: -26405375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11524 or -11366?\nAnswer: -11524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2 - (-3 - -2)). Solve 3*f = v - 8, 5*f + 28 = -z*v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598254 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: Is 9951654 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x + 0*x)*(-x**3 - 5*x**3 - x**3).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b*s**3*y + b*s**3 - 7*b*s**2 - 81*b*s*y + 19*s**3 + 2*s*y wrt y?\nAnswer: -5*b*s**3 - 81*b*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379.95 + 380. Let u = 8 + -8.15. Let o = z - u. Put 0.3, o, 2\/5 in increasing order.\nAnswer: o, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -807*p**5 - 781*p**2 wrt p.\nAnswer: -48420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 623, 631, 651, 689, 751, 843, 971, 1141?\n\"Answer: l**3 + l + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v - 8. Let b(j) = 6 + 9 - 14. Let y(n) = 5*b(n) + w(n). Let g be y(-2). What is the greatest common factor of 165 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 32*g - 652. Let r be i(21). Suppose r*l = 15*l. Suppose 6*v**2 + 0 - 15\/2*v**3 + l*v + 3\/2*v**4 = 0. What is v?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 + 981*b + 10428 = 0 for b.\nAnswer: -316, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(-33)\/55?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 85*y - 10. Give b(85).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 37. Sort -2, -1, a, -3 in decreasing order.\nAnswer: -1, -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3609)\/10 - ((-6)\/(-60) + 0). Let d = 370 + s. Solve 0 = -4*j - 20, -4*j + 28 = -l - d*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 32. Determine f(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j + 399. Give p(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1553*n + 7709 - 17027 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + 1.56. Let a = 1 - w. Let n = a - 2.4. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 - l**4\/24 + l**3\/2 + 14*l**2 - 5*l. Let h be r(0). What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18*o**3 - 4*o**2 - 2*o + 2. Suppose 0*c = -2*c - 3*q + 1, -2*c + 4*q + 8 = 0. Is p(c) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093024656.\nAnswer: 2, 23, 29, 43, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v + 11. Let w(s) = 20*s + 32. Let p(l) = -14*d(l) + 5*w(l). Suppose 0 = j + 2, -3*h + 4*j - 8 = 5. Calculate p(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432) + -3 + 2*sqrt(432) + -5 - (sqrt(432)*-1 + -1 + sqrt(432) - (sqrt(432) + 0)*-4))**2.\nAnswer: 168*sqrt(3) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*z**3 - 22*z**3 + 67*z**3)*(-34 - 3 + 235*z**2 - 237*z**2).\nAnswer: -196*z**5 - 3626*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(12\/(-4)))\/(1\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q + 2478 = 78*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 161664*l\/5 - 3266906112\/5.\nAnswer: -2*(l - 40416)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4\/5 (b) 2\/3 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25*-4\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 316756904 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 1\/40*p**5 + 1\/4*p**2 + 0 - 1\/24*p**4 - 4*p - 1\/12*p**3. Factor k(z).\nAnswer: (z - 1)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2387 times 52?\nAnswer: -124124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*s - 5*p, -3*p - 32 = -1024*s + 1028*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/a)**(3\/32)\/(a**9*a*a*a**(-1)*a))**(-34) assuming a is positive.\nAnswer: a**374","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 3*t**2 + t - 2. Let g be n(3). List the prime factors of (5 - g)\/(8\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -513173*f**4 + 2028242*f wrt f.\nAnswer: -6158076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 13. Let y be d(19). Let o = 45 - y. Solve o = -v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/13575 or -1?\nAnswer: 14\/13575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 5*b - 20. What is the units digit of j(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)\/((q**7\/q)\/q) assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxsssssndxot. What is prob of sequence od?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((616\/(-99) + 6)\/38)\/(145\/(-2610)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 0 (c) -2 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4073, -8608, -13143?\n\"Answer: -4535*y + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50940057 divided by 2425717.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -21*8\/36*(-16 - 2) is divided by 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3812*x**2 + 15249*x + 6. What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16513350 to the nearest integer?\nAnswer: 4064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**3 + 16*i**2 - 19*i - 17. What is the tens digit of q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 2 = -3*j, -4*k + 2*j = -28. Suppose -k*l + 21 - 1 = 0. Suppose 1 = -a + l. What is the third smallest value in -2\/15, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*25\/((-150)\/(-288)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -483*f**3 + 2*f**2 + 3*f + 483*f**3 - 4*f + 38*f**4 - 7*f**4 wrt f?\nAnswer: 744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g - 7. Let n be x(-5). Let p = 2540\/1911 + 76\/147. Is p at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8560, 140, 11, -1 in ascending order.\nAnswer: -8560, -1, 11, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2 - 20*i**3 - 36*i**3 + 3*i**3 - 2*i. Let j(f) = -f**3 + 11*f**2 + 11*f + 11. Let d be j(12). Calculate the remainder when y(d) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6 + 12. Solve 0*s + c = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3060*i**4 - 3534*i?\nAnswer: -36720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 5*b - 30. Let d be ((-10)\/(-6))\/((-70)\/(-84)). Let p(c) = -4*c**2 + 4*c + 29. Calculate d*t(w) + 3*p(w).\nAnswer: -2*w**2 + 2*w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253571424 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 167 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4058 - 2462. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*q + 5*z, 21*q + z + 37 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*v = -110, -6*f = -f - 3*v - 206. Suppose -10 = -k + f. Is k + 2\/2*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 3*r**4 - 2*r**4 + (4*r**2 - 4*r**2 - 3*r**2)*(0*r**2 - 4*r**2 + 5*r**2).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (-7 + -3 - -9 - 0) + 13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34493 times -158.2?\nAnswer: 5456792.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 96646?\nAnswer: 96643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*r + 19 = -0*r, -77 = -5*v + 4*r. Suppose 0 = 199*y - 46121 - 106512. What is the highest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 238641*w**4 + w**3 + w**2 + 3*w + 30708 wrt w.\nAnswer: 2863692*w**2 + 6*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + 9*c - 15. Let i be z(6). Is (-2 + i)\/((-7)\/(-1337)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-64)*12*-2*52\/(-975).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -47.\nAnswer: -47, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 983705, 1967557, 2951409?\n\"Answer: 983852*y - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 4, 8734?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -447 (c) -0.087 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 2 = 19*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 2, 21, -4.\nAnswer: -4, 2, 21, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*3\/729*9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*j - 116*j + 2*j)*(j**2 + 0*j**2 + j**2).\nAnswer: -78*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 3*k = v - 42, -2*k - 2 = -k for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -844098452, -844098454, -844098466, -844098494, -844098544, -844098622, -844098734?\nAnswer: -844098886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576 divided by -6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 2) + -2 + (69 - 73) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*36*10\/21. Let g = -123\/7 + p. Let q = 6\/97 - 315\/388. What is the third biggest value in 1, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(1 - -5) - (-21 + 1). Suppose 8 = 14*o - v*o. Which is the third smallest value? (a) 1\/6 (b) -1\/5 (c) o (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*2 + (20 - 10). Suppose m + 4*d = 128, -g*m + 6*m - 3*d = 311. Is 37 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -53820 and -215279\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 10?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v + 5. Let p(a) = -a - 1. Let t = -3 + 5. Let r(q) = t*i(q) + 10*p(q). Let o(l) = -2*l. What is r(o(j))?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/(-175) - (1518\/(-55) - -36)?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189444197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3052 and 65\/36468.\nAnswer: 27825084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 5*v - 285, 4*u = 5*v + 415. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*x + 12, -c - 3*c - 16 = 0. Let p = x + 21. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*b**4*c - 6358*b**2*c**2 - 47*b*c**2 - 4*b*c - 4*b - 44*c**2 + 3 wrt b?\nAnswer: 2592*b**2*c - 12716*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12\/8)\/((-2)\/((-1940)\/3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -656.199 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 51*o. Let a(w) = -26*w. Let s = -1201 - -1195. Give s*t(p) - 13*a(p).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0409 plus 0?\nAnswer: 0.0409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.93 - 8.66. Round s to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1180918000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943082.79 rounded to the nearest one hundred?\nAnswer: 1943100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -3 (c) 22 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(50\/5)*110*20\/200?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215023 + -4?\nAnswer: 215017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13606014*f**3 + 2251842*f**2 - 38*f - 1 wrt f.\nAnswer: 81636084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/24 - (-4)\/(-6). Let k = x - -8. Calculate the greatest common divisor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4223171 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17523 - 17519. Let c(g) be the first derivative of 20\/3*g**3 - 15\/2*g**2 + 0*g - 5\/4*g**q + 2. Factor c(z).\nAnswer: -5*z*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-15 - (-18 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2531116 (base 8) to base 6\nAnswer: -23005222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 8, -3 in decreasing order.\nAnswer: 8, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -13. Suppose 0 = 5*x - h*x. Solve -2*v - 4 = -x*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 6)\/((-2)\/(-22)). Suppose -g*r = -7*r. Solve 9 = -r*z + 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 26960?\nAnswer: 80880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 3*s**2\/2 + 4*s - 3. Let d(i) = 24*i + 33. Let z(y) = -4*d(y) + 33*k(y). Let m(n) = -2 + 2 + n**2. Determine m(z(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1454674.9931 + -1454562. Let s = n - 113. Round s to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.88283 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00711228 to 4 decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + o - 13, 2*o - 13 = -4*k + 1. Suppose -k*h - 5*z + 595 + 741 = 0, 3*h + 5*z - 2009 = 0. What are the prime factors of h?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(162)*-1 - 2*(sqrt(162) + -1))*-2)**2.\nAnswer: -11520*sqrt(2) + 259456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 1 = 2*s, -6*z - 13 = -3*z - s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -665*j + 473*j - 1310*j.\nAnswer: -1502*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19466300 rounded to the nearest 100000?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)*2)\/sqrt(6) - (3 + (sqrt(56)\/sqrt(512))**2).\nAnswer: -199\/64 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7995762\/29 greater than or equal to 275715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k - 5. Let u(q) = -5*q + 2. Let g(z) = -5*u(z) - 2*y(z). Give g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1744 - -223. List the prime factors of f.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 29108?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 69, 81, 71, 33, -39, -151?\n\"Answer: -w**3 - 2*w**2 + 41*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g**2 + 1. Let h be s(1). What is the smallest common multiple of (66\/(-4))\/(6\/h) and (-2)\/8 + (-178)\/(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 + 1)*(3*p**2 - 5*p**2 - 27*p**2) as u*p + r*p**2 + k and give r.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -46, -3868 in descending order.\nAnswer: -4, -46, -3868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(14*l**2 - 3*l**3 - 14*l**2) - 16 + l**4 - 3*l + 37 - 18.\nAnswer: 7*l**4 - 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 25*g**2 + 21*g**2 - 16)*(4 - 4 - 2*g)*(0*g - 3*g + 10*g) as v + r*g + z*g**3 + n*g**4 + i*g**2 and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 6095*c - 3012*c + 11 - 3028*c + 10*c**3 as g*c**2 + j + l*c**3 + z*c and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 77, 79, 81, 83?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2 + w. Let t be (-18)\/(-45) + 26\/10. Let d(j) = j**3 + 2*j**2 + j. Let c(u) = t*d(u) - 6*h(u). Find the second derivative of c(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405\/5820167 or 0?\nAnswer: -405\/5820167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123*s**4 - s**3 + 19*s**2 + 709*s - 66745509 wrt s?\nAnswer: 492*s**3 - 3*s**2 + 38*s + 709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/1*(-323)\/1292\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 8*q**2 + 9*q - 67. Calculate n(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535102.3 days in minutes?\nAnswer: 770547312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 58501*h**2. Let s(l) = -2*l**2. What is y(s(d))?\nAnswer: 234004*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1162 and 1\/18.\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 - -2629. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90679, 90707, 90759, 90835, 90935?\n\"Answer: 12*k**2 - 8*k + 90675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4, 0 = -3*c + h - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 12. Let b be v(0). Suppose -c - 3*h = b, -4*c - 3*h - 4 = -1. Suppose 5*m = -2*d - 18, -3*d + 15 = c*m - 6*m. Sort -1, m, 5 in decreasing order.\nAnswer: 5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.60251 - 13.718. Round y to 3 decimal places.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 36*d + 67. Give j(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-10)*(a*a\/(a*a\/a**(3\/2))*a)\/a**(2\/19) assuming a is positive.\nAnswer: a**(91\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 + 4. Suppose -4*i = -5*i - d + 2, 5*i = -d + 30. Let r be v(i). Find the third derivative of -a**2 + a**r + 2*a**2 - 2*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2821 divided by 130\nAnswer: 217\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - f + 25 - 2, 3 = 3*i - 4*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z - 350 + 583 = 357 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 - 15*b + 3. What is d(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -921.1 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose 3*y - 56 - 55 = l. What is the remainder when y is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(-13))**(-30)\/((z\/z**(-2\/7))**(-40\/3))**(15\/8) assuming z is positive.\nAnswer: z**(-1595\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22283 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69, 66, 55, 30, -15?\n\"Answer: -c**3 + 2*c**2 - 2*c + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgevtrve. What is prob of sequence vgvr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86045329\/421 + -204383. Let c = m + -91572\/444155. Let n = c + -7594\/1055. What is the common denominator of n and -4\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36b6 + 13?\nAnswer: 36c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 85930 = -95171. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22741151287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2057 and -27\/2431.\nAnswer: 26741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, 2\/21, -224327?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 + ((-4)\/4 - -2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*c**2 + 23*c**2 + 28*c**2 - 25*c**3 + 28*c**2 + 2*c**3.\nAnswer: -23*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*y. Suppose -2*l - 2*l - 120 = 0. Let p = y - l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/4 - 2487*z - 4973 = 0 for z.\nAnswer: -9946, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1692240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 52, 75, 98, 121, 144?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-22))\/(-5*(-5)\/(-275)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 2*i + 1. Let p be r(2). Suppose -2*c - 3 = -p. Calculate the highest common divisor of c and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-1 - -2 - -1). Let n be 26 - (-1 + -1 + d). Let m = n - 16. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 + u**2 + 2*u**2)*(6*u - 5*u + 3*u) to h*u**2 + b + q*u + a*u**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143 and -84.\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) - sqrt(63)*1 - sqrt(21)\/sqrt(108).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(2\/8 + 0). Let v(z) be the first derivative of -1026*z**2 + z + 70. Is v(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36258179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 6*s + 96 = 0. Suppose -2*j + 610 = -7*j. Let i be (-2)\/12 + j\/(-12). Solve -2*w + i = c, 0 = 5*c + w - s - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 (base 15) in base 3?\nAnswer: -210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417854391?\nAnswer: 3, 5197, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3668468 is divided by 1025.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259 a factor of 191411363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300))**2 + (6*sqrt(9)\/sqrt(3))**2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-3))*1. Let x = 5 + -2. Suppose -5 = c - y - x, -3*c - 6 = -y. Is b less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -631449551044*l**3\/5 - 10103197584532*l**2\/5 - 76285257*l\/5 - 144\/5 = 0?\nAnswer: -16, -3\/794638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - b + 833 - 221, 3*b = i - 214. Find the first derivative of -14*m + 15*m + 35 - i*m + 94 wrt m.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*l + 69*l - 15. Let f(p) be the third derivative of -p**2 + 1\/72*p**4 + 0*p + 0 - 1\/9*p**3 + 1\/180*p**l. Find c, given that f(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (273299*s - 273299*s - 352*s**4 + (0*s + 3*s - s)*(s - s**3 - s))*(4*s + 2*s - 7*s).\nAnswer: 354*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 43 = -5*d + 88, d + 1 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v + 0 + 13*v + 2)*(-2*v - v + 6*v + 4*v + 3*v - 5*v + (0*v - 4*v + 5*v)*(3 - 3 + 1)).\nAnswer: -30*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 - (9 - -5 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 2*v - 5 + v. Suppose 0 = -5*d + n + 26, -3*d + 16 = -7*n + 6*n. What is the units digit of k(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691165 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: Solve 2*u = -0 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, q: 4, v: 6}. Give prob of sequence qv.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/790 and -173\/300?\nAnswer: 23700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301812 = -57*v + 1009744 - 169903. List the prime factors of v.\nAnswer: 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 + 87*p**3 + 26901*p**2\/4 - 301401*p\/2 = 0.\nAnswer: -183, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1368 divide 620876376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(192)*2)\/sqrt(12))\/(-4*sqrt(24)\/sqrt(3)).\nAnswer: -1 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296050?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 5, c: 1, f: 1, m: 2, y: 6}. Give prob of picking 1 h, 1 m, and 2 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -67. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -676.43.\nAnswer: 67.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 2)*(-2*j**5 + 0*j**5 + 0*j**5) - 3*j**5 + j**5 + j**5.\nAnswer: 15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 453806, 907607, 1361410, 1815215, 2269022?\n\"Answer: v**2 + 453798*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*r + 14, 0 = 2*r - 7*r + 2*g - 14. Is 12 a factor of -16*(-1 - -2)*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(65)\/(sqrt(35)\/sqrt(175)))**2.\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/855763 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -559 divided by 300?\nAnswer: -559\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = 3*f - 6*f, 5*q = 3*f - 25. Let p(x) be the third derivative of x**5\/60 + 3*x**4\/8 + 2*x**3 + 29*x**2. Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 907 + -601. Suppose -x + 94 = c, 18*c = 15*c + 3*x + g. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*d**6 + 2*d**3 + 13*d**2 - 18?\nAnswer: -11160*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((sqrt(135) + -3*(sqrt(135) - sqrt(135)*-2 - sqrt(135)))\/(sqrt(5) - sqrt(50)\/(sqrt(10)*-2) - sqrt(5)) + 1)**2*-1*-4.\nAnswer: -720*sqrt(3) + 32417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/182 + 192\/21. Solve -30*v = -x*v - 147 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 + -2.3. Let f = 14.8 - n. Let c = f - 16. Sort c, -5, 0.3.\nAnswer: -5, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) - (1 + sqrt(432)))) + (sqrt(192) + 0)*2)**2.\nAnswer: 56*sqrt(3) + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20174 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2\/71 (c) 66 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 782598 and 19182?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjj when three letters picked without replacement from {t: 1, j: 3, v: 2, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 86.825 and 1.23039?\nAnswer: 85.59461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96492 and 83589?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499 is divided by 728?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 100101212?\nAnswer: -100101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 326*m - 1544. Let f be b(5). Solve 0 = -5*x - 20, k + 83*x - 16 = f*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -3, -7, 683, -1 in decreasing order.\nAnswer: 683, 14, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -19499\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/17 (b) 0.119 (c) 8 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 513884, 513882, 513880?\nAnswer: 513878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -15, -44, -97, -180, -299, -460?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 633698436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 143 (b) 0 (c) 0.1 (d) 0.3 (e) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -c - 4, 4*l = -3*c - 332 + 360 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82142012 is divided by 383.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 22)*((-384)\/48 - 50\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(2))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -7*i**5\/5 - i + 3. What is the derivative of z(k) wrt k?\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47976445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -2 - 8) + (-6 - (5 - (-32 + 8))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let u(t) = -2*t + 0*t + 5*t + h*t. Let a(b) = -2*b. Determine u(a(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*j, -5*t + 0*j - 3*j = 0. Suppose t = 5*i + 5*p - 10076 - 31399, -5*i + 41485 = 3*p. Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11339061?\nAnswer: 3, 3779687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-5)\/((-30)\/9) + -4. Suppose d*u + 1 - 26 = 0. Sort 2, 0, u, 6 in descending order.\nAnswer: 6, u, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/3 - l**3\/3 - l**2 + 4*l. What is the units digit of a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 0*d**2 + 5\/3*d**3 - 3*d + 5\/12*d**4. Factor x(t).\nAnswer: 5*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = z, 318 = r + 2*z. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551685 divided by -551685.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 10. Let j be h\/8*(-4 - -2). Suppose -j = 4*r - 39. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241500 (base 8) to base 7.\nAnswer: -463155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133591 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 3:49 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 - -26088.\nAnswer: 26271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 2 - (1020\/3)\/(-4). Calculate the greatest common factor of 189 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -5*l**4\/24 + l**3\/2 + 247*l**2. Let a(p) = p - 1. Let j be a(4). Calculate i(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 10:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406956120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5835*r**2 + 7. Let n(b) = -3*b. Calculate j(n(p)).\nAnswer: -52515*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q + 32. List the prime factors of x(-19).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*i + 4558 + 734 + 11 = -5797 for i.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 - -153. Let y(h) = -4*h**2 - 3*h. Let s(i) = 4*i**2 + 4*i. Determine b*y(f) + 4*s(f).\nAnswer: -4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 110 = -2*d. Solve 0 = -2*w - 3*w + d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 0 - 288\/13*f + 48\/13*f**2 - 2\/13*f**3 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 - 3*q + 2. Let h be l(2). Suppose -s = -4*s - 375. Let g = s + 285. Calculate the highest common factor of h and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.22? (a) -4 (b) -192 (c) 0.2 (d) 0.07 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*v*x - 238745*v + 767113*x + 22 wrt v?\nAnswer: -57*x - 238745","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9 + 8\/(-6). Let h(c) = 8*c**2 + c. What is the remainder when h(f) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20146.074 - 20112. Let g = v + -33.7. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 179984 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 2 - 22 = 0. Let l be 5\/(-10) + 1\/k + -1. What is the hundreds digit of (572\/(-16))\/(l\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 247990?\nAnswer: 247992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18573 + -18750. Which is the smallest value? (a) v (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36748, 36767, 36786, 36805, 36824?\nAnswer: 36843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*b + 2444, d - 4*b + 3*b - 814 = 0. Calculate the highest common factor of d and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -20108\nAnswer: -15\/20108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 90*l + 225.\nAnswer: 5*(l - 15)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*m**3 - 2*m**2 - 116*m**3 - 135*m**3.\nAnswer: 60*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/111)\/55*-259\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**4\/7 + b**3\/7 - 11*b**2\/7 - 9*b\/7 + 18\/7 = 0.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + 78\/(-325). Let u(a) be the first derivative of -o*a**5 + 1 + 0*a**2 + 1\/4*a**4 + 1\/30*a**6 - 2\/15*a**3 + 0*a. Factor u(g).\nAnswer: g**2*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -385, 5, 4 in decreasing order.\nAnswer: 5, 4, -4, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1715410 (base 8) to base 2.\nAnswer: -1111001101100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*z = 16, -4*m - m + 4*z = -28. Suppose 4*h + 5*a = 54, -3*h + m*a - 24 = -5*h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-1 + 1 + 3*w) + (4*w + 3*w - 5*w)*(0 + 1 - 3) - 4 - 5043*w - 4958*w + 9942*w in the form g*w + q and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1095518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 42. Let d be o(17). Let s = 55 - d. Do s and 47 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*f**5*v**3 - 9115*f**2*v**3 - 2*f*v**2 - f - 4*v**3 - 1058*v - 7 wrt f.\nAnswer: 1920*f**3*v**3 - 18230*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -50\/9*i**5 - 164\/9*i**2 - 28*i**4 - 40*i**3 + 0 - 2\/3*i = 0.\nAnswer: -3, -1, -1\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 626926.5 tonnes?\nAnswer: 626926500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001627 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Let u = 0 + 0. Suppose u = 3*n - 9. Put n, s, -2 in descending order.\nAnswer: s, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96\/(-36)*3\/(-4). Let b be (0 - q)\/(5 - 17). Let w(i) = -2*i**2 - 1. Let t be w(1). What is the third smallest value in t, 4\/5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 41902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h. Suppose 2*n + 2*s = -12, 0*n + s - 24 = 5*n. Let r = -3 - n. Let k(y) = y**2 + 2*y**2 - y**r. Calculate p(k(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227519?\nAnswer: 227519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:39 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 299610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.4648362 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*k - 0*k + 792, 378 = c - 3*k. Suppose -17390 = -2*w - 5*m - c, 0 = 5*w + 2*m - 42500. Round w to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -271, -405?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (2429 + 1))*(-1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2075.5125 nanoseconds in minutes?\nAnswer: 0.000000034591875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -0.1. Let v be (707\/8)\/(-7)*60\/3. Let x = 253 + v. Sort n, 2\/11, x, 0.3 in ascending order.\nAnswer: n, 2\/11, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 2*u + 1. Determine z(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-12)*2\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 8496?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1889824 and 64?\nAnswer: 3779648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 21. Let q be h + (-14)\/(5\/(-5)). Solve -5*j + 4*i = -q, -3*j + i = -0*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10373430 (base 8) in base 7?\nAnswer: 24630430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*p - 43. Suppose p*y = 785 + 575. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*l + 268*l + 7576 = 0. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 4*y**2 + 4*y - 3. What is j(-5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8780 and -0.46526?\nAnswer: 8779.53474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times 0.4\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 34291*y - 754796. What is h(-22)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6612?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + u + 6*u + 3*u. Let s(o) = -6*o. Calculate c(s(m)).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -r + 56. Differentiate 0 + r*u + 3 - 217*u - 27 wrt u.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*r + 10. Suppose -r*w - s + 100 = 0, 4*w + s - 42 = 37. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 943145*q**3 + 4*q**2 + 4894541*q**3.\nAnswer: 3951396*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 20*d**3 + d**2 - 13*d**3 + 4*d**2 + 4. Let g be q(-5). Suppose 0*x = -x + g*u + 211, -4*u = 4*x - 884. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 e, and 1 y when four letters picked without replacement from yytetyyyytytyttytyey.\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2 - (1 - -6)). Let a(z) = z**2 + 9*z + 5. Let l be a(d). Put l, -0.4, 0.4 in ascending order.\nAnswer: -0.4, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:21 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19468988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.6 take away 1060917735?\nAnswer: -1060917768.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -2*s + 4*s - 3*t, 4*s + t - 79 = 0. What is the greatest common factor of s and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*p - 419*p = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 569*o + 261*o - 2*o**2 + 3 + 308*o.\nAnswer: -5*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 18. Let w be ((-2)\/g)\/((-8)\/(-40)). What is the second smallest value in 0.1, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:23 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 + 6*q + 3. Let h be a(5). Let z(x) = 2*x**3 - 13*x**2 + 4*x + 6. List the prime factors of z(h).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o**2. Let p(y) = 2*y**2. Let l(m) = 2*m - 18. Let z be l(8). Let v(d) = z*g(d) + 11*p(d). Let j(b) = 3*b**2. What is v(j(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1455876 and 54612.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3768244 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 18*l**2 - 3*l - 23. What is z(-18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3224 - 3224 + 8*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -569 by 34069.\nAnswer: -569\/34069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 2.289, -5, 2, 0.5 in decreasing order.\nAnswer: 2.289, 2, 0.5, 0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1390*z - 1404*z + 84 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 608980201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by -62.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1, 1\/9, -0.04218?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23432*s - 12232*s - 25422*s.\nAnswer: -61086*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 20.17\nAnswer: 221.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*i = -1040*i + 518*i + 21. Solve 2*f - i*y + 10 = 22, -5*y - 20 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -93, 4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*g + 19, -t - 3*g - 10 = g. Let r = 3 + t. Suppose -17 - 3 = -r*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -1\/6, -0.037, -0.4, 7, 0 in decreasing order.\nAnswer: 7, 0.05, 0, -0.037, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 8:10 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12455*d - 77679*d + 32082*d - 72614*d + 2 - 101602*d.\nAnswer: -207358*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4569 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305 (base 16) in base 14?\nAnswer: -33a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7564 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3418 and 739997.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1390, -6 in increasing order.\nAnswer: -1390, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4489*n**2 - 363 - 371 + 734.\nAnswer: 4489*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -31*v**2 + 42*v - 63. Let j(l) = 87*l**2 - 119*l + 189. Let t(r) = 6*j(r) + 17*q(r). Let p(h) = 4*h. Give t(p(z)).\nAnswer: -80*z**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 54*q + 672. What is p(23)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:25 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15853857.\nAnswer: 3, 5284619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325299, 650598, 975897, 1301196, 1626495?\nAnswer: 1951794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(-12)\/105*3458\/741.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21045 is divided by 397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3730007*o + 7. Let t be g(-1). What is t rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(5 - 2 - 1) + (2 - 5 - 2)*(0 + 5 - 1) + 3 - 3 - 2 + 0 + 1 + 0 + (-4 + 5 - 3)*(-2 + 4 - 1))*(-3*b + 0*b + 0*b).\nAnswer: 57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*159*17\/((-204)\/(-40)). What is f rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 40 = 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 270.9 - 274. Let h = 3 + w. Which is the nearest to 1\/4? (a) h (b) -14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*b + 184 = 6900 - 2947 + 5997 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovjojovjvvjoovvc. Give prob of sequence jjoc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*c. Suppose -17*y + 2 = -15. Calculate the greatest common divisor of y and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let z(c) = -5*c - 3. Suppose -2*r - r + 14 = -5*k, 4*k = -4. Give r*a(j) + z(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2918 + 2918. Let l be (0 - 3)\/((-6)\/16). Let t = l - 4. Solve a = t*b - 10 - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3586721.\nAnswer: 41, 87481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**11\/s*s**(2\/3))\/(s*s**1)**(-5\/18) assuming s is positive.\nAnswer: s**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 8.2, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, 2\/7, 2\/5 in descending order.\nAnswer: 2\/5, 2\/7, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10757977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + 160\/(-6). Let b = 25 + f. Is 553 + b + (-7 - -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y. Let k be h(0). Let o(f) = 0*f**2 - 6*f**2 + 2*f**3 + 14*f - f**3 - 13 + k*f**2. What is the units digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/90 and 109\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 - 0.42. Which is smaller: v or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 146756516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249424, -997901, -2245422, -3991987, -6237596, -8982249, -12225946?\nAnswer: -15968687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -17*m**3 - 4*m**2 - 6*m + 3. Let a(t) = -2*t**3 - 8*t**2 + 10*t - 2. Let f be a(-5). Is j(f) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - -99. Let f be (-224)\/3 + (-8)\/24. Let b be f\/30*34\/(-5). What is the greatest common factor of t and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*b + 2 = -24, 5*w + 5*b - 35 = 0. Suppose w*n + n = 0. Differentiate 5 - 3 + n - j**2 with respect to j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173\/36 - -130\/9. Let v = l - 223\/12. Which is the nearest to -1? (a) -2\/9 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521615 times -0.5\nAnswer: 260807.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*k**3*v**2 + 5469*k**3 - 8*k*v**2 - 2238*k*v - 97*v**2 wrt k?\nAnswer: 198*k*v**2 + 32814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36147.53 nanograms in micrograms?\nAnswer: 36.14753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -17)*3\/(-12)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*x - 303, 45 = 3*q + 4*x + 500. Let r be (-16)\/56 - q\/21. Solve p = -p - 10, 4*y + r = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-257)\/1285)\/((-4)\/750)*((-60)\/(-9))\/(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*l + 76, -5*l + 2*d - 102 = -14. Let u be (-7)\/2 + ((-56)\/l)\/7. Let h(m) = -m**3 - m**2 + 7*m + 4. Give h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*n - 126*n - 182*n - 20*n + 725*n - 133*n - 135*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14236264)\/(-637) + -4 + (-53)\/(-13).\nAnswer: 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64\/51 + -10\/17. Let h = -4.449 - -0.449. Which is the second biggest value? (a) 0.4 (b) z (c) h (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:19 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, -12, -3, 42, -6 in decreasing order.\nAnswer: 42, -2, -3, -4, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 715?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -424522500 rounded to the nearest 100000?\nAnswer: -424500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 7, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + -3.8. Let t = 2.6 + i. Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(2\/19)*t*t)\/t*(t*t*t**(2\/9)*t)\/t)\/(t**(-6)*t**(-2\/11)) assuming t is positive.\nAnswer: t**(21253\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, e: 7, i: 3, s: 3, t: 1, w: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12687832.\nAnswer: 2, 59, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2 + 8. Let y(v) = -6*v + 6. Let t(o) = -1. Let b(z) = n*y(z) - 5*t(z). Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -30031180.04 to the nearest one hundred thousand.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -1\/5 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 34 - 149 = 0. Calculate the remainder when 43 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/60 - g**5\/15 + g**4\/6 - g**3\/6 - 2*g**2. Let v(x) = x**3 - 95*x**2 + 186*x + 4. Let j be v(93). Is t(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from mztmmbmzmmbmmtb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.9 - -45. Let n = -1.8 - i. Which is the second smallest value? (a) n (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdup when four letters picked without replacement from {d: 14, u: 1, p: 2}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*o**3 + 12 + 16 - 50 + 8 + 4*o**4 + 17 + o**2 in the form y*o + j + q*o**4 + b*o**3 + w*o**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*p = 16, -5*v + 52*p + 40 = 48*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 48 + 26*c**2 + c - 9*c - 100 + 50 in the form a*c + g*c**2 + z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9855 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: Let d(y) = -y**2 - 8*y. Let j be d(-7). Suppose -j*h + 2*h = -140. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:23 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253365063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 1054*o**2 + 153470*o + 6810978.\nAnswer: 2*(o + 103)**2*(o + 321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 4) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*j + 16, 5*x + 258 = 4*j + 241 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*m + 3)*(1 - 1 - 2) + 3*m - 5*m - 8*m + 9*m - 2*m + 4*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 - 4*k - 2. Let h be z(4). Let v(n) = -n**2 - 3*n + 2. Let i be v(h). Let c = 1804 + -1804. Is i < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let f = -8 + 5. Let r be w(f). Let z(n) = n**3 - 5*n**2 - 6*n + 2. Let a be z(6). Calculate the highest common divisor of a and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*k = -87, -4*q - 9*k + 214 - 383 = 0 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 + 4*u**4 + 16*u**3 - 16*u**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-2))\/(-7 + 264\/40). Sort 3, p, 8.\nAnswer: 3, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 3195?\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Suppose 5*x = -4*h + 45, 0 = 5*h + 5*x - 26 - 34. Suppose 0 = -0*m - 4*m - r + 11, 0 = 5*r - h. Let d(f) = -f**m + 1 + 8*f**2 - 1. Give t(d(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136308 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -39*y + 334. Give o(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-277 - -287) + 14 + 77?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10101010110 (base 2) to base 6\nAnswer: -10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = 4*a, -a = 2*z. Suppose s + 16 = w + 2, -w - 2*s - 1 = z. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -9.1, -6\/67 in increasing order.\nAnswer: -9.1, -0.5, -6\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2 + 10, 2*i - 22 = 3*r. Solve 4*m = -c - 1, 4*c + 2*m = i*m - 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 61.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 2*q + 2*q + 3*q. Let d(z) be the third derivative of 0*z**3 - 1\/24*z**4 + 0*z + 0 - 17*z**2. Give d(r(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14991828*g**5 - 14940073*g**2.\nAnswer: 899509680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17549621 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4185626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -32*x + 34*x. What is the second smallest value in -4\/7, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001075313938 rounded to six decimal places?\nAnswer: -0.001075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 22415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.7. Let r = q - 1.2. Let t = -30998 + 30995. Which is the closest to r? (a) -4 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/9*(-210)\/196. Let h = p + -17\/14. What is the closest to 2 in h, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 25. Let v be (7\/3 - 5\/z) + -2. Suppose 3*i = -3*x + 183, -2*x + 0*x + 2*i + 134 = v. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiepxliilgpipeixeil. What is prob of sequence lepi?\nAnswer: 21\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 2, k: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 22*i**3 + 507*i**2 - 1042*i + 10. Let m(y) = -26*y**3 - 506*y**2 + 1044*y - 12. Let f(q) = 5*m(q) + 6*u(q). Let f(g) = 0. Calculate g.\nAnswer: -258, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12991037292 to three dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 399131329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkkvkvkvttv. What is prob of picking 1 v, 2 t, and 1 k?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2\/7 - 61940*v\/7 - 930000\/7 = 0. Calculate v.\nAnswer: -15, 15500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344 + -349. What is the fourth smallest value in -1\/3, v, 40, -0.1?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88391.\nAnswer: 157, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1042, 2140, 5124, 10936, 20518?\n\"Answer: 157*x**3 + x**2 - 4*x + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4\/9 + 1040*j**3\/9 + 22532*j**2\/3 - 1040*j\/9 - 67600\/9 = 0. Calculate j.\nAnswer: -130, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 (base 10) in base 7?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 147025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*x = -17954, -18063 = -4*w - x - 3725. What is the highest common factor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*w**4 - 1688*w**3 + 3373*w**2 + 4*w - 1?\nAnswer: -264*w - 10128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 + -26 + 31\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/40 - b**5\/15 + b**4\/12 + b**3\/3 + b**2. Let g be (1\/(-2))\/(2\/(-12)). Is y(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 1 = 1. Suppose d = 5*x - g - 297 - 693, -4*x = 4*g - 792. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*k = u + 24, 4*u - 4*k - 28 = 0. Solve 4*g + 0*g = 3*h - u, -2*g + 21 = 3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.0036 kilometers to meters.\nAnswer: 89003.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 + 128*t - 60. Calculate k(-21).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 12\/20)*60\/48?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1887 + 1894. Solve -6*l - 4 = -o*l - m, -3*l + 2*m - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/((-20240)\/24)*4\/(12\/5).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from gvnom?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434755525 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 665 - 664.5. Sort z, -2\/41, 3\/2 in descending order.\nAnswer: 3\/2, z, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/10 - (-52056)\/(-120). Let l = 3141 + o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 246000000 to the nearest one million.\nAnswer: 246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*l + 1535 = 102*l. Suppose 4*x + 2*h = -41 + l, -4*h = -4. What are the prime factors of x?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 453*z**3 - z**2\/2 + 2337*z - 506. Find the second derivative of c(d) wrt d.\nAnswer: 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2944443, -2944443, -2944457, -2944491, -2944551?\nAnswer: -2944643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*t + 10*t + 234*t = 107415. Calculate the remainder when 1342 is divided by t.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (-62 - 13) + 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 932 and 43105.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285744161.\nAnswer: 47, 6079663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/289, 1\/7, 2, -38641?\nAnswer: -38641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:50 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201770306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 6, 10.\nAnswer: -34, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 3*g**2 - 35 - 15*g + 10 - 10.\nAnswer: -3*g**2 - 15*g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/2*j + 1\/2*j**3 + 5 - 2*j**2 = 0 for j.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2481 and 7\/2670?\nAnswer: 2208090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*d + 508374 = 1971662. List the prime factors of d.\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - l + 135. Let t(h) = h**2 + 1. Let v(f) = k(f) - 4*t(f). Is v(0) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:31 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/1199, -2.4, -0.1, 4\/7 in ascending order.\nAnswer: -3, -2.4, -0.1, -3\/1199, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1875488)\/(-986) + (-4)\/34. Suppose -3*l = -3*m - g, l - 2*m = 2*m + 640. What are the prime factors of l?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 152\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 588 = 2*j. Suppose -5*a + j = -z, -4*z + 35 = a - 0*z. What is the highest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 2*g**2 + g - 2. Let p(o) = -69*o**3 + 4*o**2 + 2*o - 3. Determine p(n) - 2*t(n).\nAnswer: -67*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 16*p - 22*p + 11*p + p**2 - 5. What is b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 + 376. Suppose 0 = -4*n + 218 + d. What is the greatest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from ymukysv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*k*v**2 + 2*j*k*v + j*v**2 - 3*j*v - 71*k*r**3 - 20*r**3 - 2*v**2 with respect to k.\nAnswer: -j*v**2 + 2*j*v - 71*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 4*k - 1. Let q = -12 + 6. What is the lowest common multiple of 3 and y(q)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -48 - (-1 + -20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttwtyyty. Give prob of sequence ttt.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42502 + 340025\/8. Factor -g*r**2 - 3\/8 - 9\/8*r - 3\/8*r**3.\nAnswer: -3*(r + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 4*s**2 - 2*s + 40. Let m be o(5). Let f(p) = p - 8. What is f(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/265 - 104\/265. Let a = 4689.8 - 4691.8. Let o be 27\/30 - (-2)\/(-4). What is the closest to o in a, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14118*p**3 + 7086*p**3 + 7028*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Suppose x = -p - 4*p + 20. Calculate the smallest common multiple of p and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95040 and 55968?\nAnswer: 5037120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -147*r - 149*r + 296*r - 974*r**2. Let t(y) = 2*y**2. Give t(k(d)).\nAnswer: 1897352*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001991121 rounded to 7 dps?\nAnswer: -0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3649, -29162, -98395, -233206, -455453, -786994?\n\"Answer: -3643*z**3 - 2*z**2 - 6*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 54*s + 27 + 25.\nAnswer: 54*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1378291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1100)\/(-240))\/11*1\/(75\/510)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 9, e: 2, p: 1, n: 1, u: 1}. What is prob of picking 1 p and 1 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -51*k**5\/20 + 51*k**2\/2 + k - 12. What is the first derivative of y(u) wrt u?\nAnswer: -153*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2821779 days?\nAnswer: 24380170560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283*i + 157*i + 171*i - 6*i**2 to b*i + v*i**2 + o and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 304. Suppose 0 = -5*o + 20, 6*o - 3*o = 5*j - 53. Calculate the remainder when k is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 = 2*r, r + 2*r - 9 = g. Suppose -3 = -3*p + 3*s + 3, 0 = r*p + 3*s - 9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*k**5 + 366*k**2 wrt k.\nAnswer: 19740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -504*q**2 - 35*q. Let h(y) = 3*y. What is h(a(s))?\nAnswer: -1512*s**2 - 105*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000183 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:38 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(19) + -3 - (sqrt(19) + (sqrt(1900) - sqrt(1900)*2))) + 5*-2*sqrt(76) + -3.\nAnswer: -12 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/9 or -2941?\nAnswer: -2941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/12 + n**3\/6 + 3*n**2\/2 + n + 1. Let h(b) be the first derivative of p(b). What are the prime factors of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300194138 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-2)*(7 + -1189) is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19494.78 - 19675. Let u = 8154 - 7976. Let r = p + u. What is r rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*s - 20, -3*l + l = 3*s - 48. Let o be 4\/l - (-2024)\/(-7866). Which is the second smallest value? (a) o (b) 0.5 (c) 0.1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3473023.52 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (15\/5 - 8). Let u be (-18 - -17)*((-2)\/(-22))\/i. Suppose 0 = -4*t - 7 - 1. Put t, u, 0.13 in increasing order.\nAnswer: t, u, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1*-2 - sqrt(80)*4)**2*-5.\nAnswer: -4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 15*y - 42. What is the smallest common multiple of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/28)\/((-4)\/32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4467, 4466, 4465, 4464, 4463, 4462?\nAnswer: 4461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10235 minus 8952824526?\nAnswer: -8952824526.10235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -14.\nAnswer: -19\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j)\/j)**(9\/8)\/(j\/(j*j*j*j*j*j**(-8)*j)*j**11\/j) assuming j is positive.\nAnswer: j**(-529\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12912)\/(-138222) - ((-260)\/(-84) + -3). Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -300798, -1203265, -2707378, -4813137, -7520542?\n\"Answer: -300823*u**2 + 2*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4584358 divided by -2?\nAnswer: 2292179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 + 150*o**4\/7 + 544*o**3\/7 + 104*o**2 + 192*o\/7 - 128\/7 = 0. What is o?\nAnswer: -4, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*h - 151*h - 137*h + 15867 = -12004 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.3, 2.8, 22.4611, 1?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 20 in increasing order.\nAnswer: 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/57145 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Suppose 0 = -0*f + 4*f. Let c be z(f). Let m(v) = -3*v + 24. Let i be m(-14). What is the greatest common factor of i and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 27. Suppose n*h - 30 = 90. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -25\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**2. Let p(x) = -x**3 - 5*x**2 + 5*x - 4. Let k be p(-6). Let m(j) = -342 + 2*j**k + 342. What is n(m(o))?\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-16))\/(5\/1)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + 14 - ((7 - 19) + 47).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 64 - (-1 - 4) - (-7 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 175\/105 + (-1820)\/(-6). What is the highest common divisor of w and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/4 + 11\/20. Suppose 19 = 7*k + 54. Let n be (4\/(-6))\/((-2)\/(-2)). What is the third biggest value in n, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4 - 12*g**3 - 972*g**2 - 2916*g + 17496 = 0.\nAnswer: -9, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 3410 = -7120. Is -352 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + p - 11, -5*f + p - 7 = -20. Let w be -7 - -11 - 1*f. Is w at most -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/(-2)*(-6)\/(-6). Let j be (-3240)\/(-828) - 4\/m. Solve -8 = -j*b - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -640*i - 2699. What is a(-4)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78.00161kg?\nAnswer: 78001610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:01 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/159 + 308\/795. Let n = -0.2 + 2.2. Which is the closest to w? (a) -2\/9 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -36 - 28. Suppose -d = -3*b - 4*z, 3*b - z + 8 = z. Solve -2*i = 3*x + 18, b = 3*x + 5*i - 2*i + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.49, -0.2, -0.3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4.5 (b) 8143 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 14468 + 14468. Let h(r) be the first derivative of -2*r**5\/15 + 5*r**2\/2 - 3. Let t(a) be the second derivative of h(a). Determine t(g(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/10 + (-16)\/20. What is the nearest to 36 in a, -2\/15, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 - 64*x - 409. Determine z(-6).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.9 + 45.89. What is q rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12662*f = 3484*f + 27534 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 592*i + 11345. What is u(19)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*c + 33*c - 21*c - 266 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b9 (base 16) in base 2?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i. Let c be ((-4)\/10)\/((-8)\/30). What is the nearest to c in i, -0.1, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 792?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 2*d = 29*u - 608, -4*u + 5*d - 620 = 0. Let q be 1\/((-3321)\/(-831) + -4). Let o = u - q. What are the prime factors of o?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = 193068 + 271824. Let s = n + 2641. Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-192)*(-2 + -39) and 85\/108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 365 = -5*w + 2*v, -97 = -w + 4*v. Calculate the common denominator of 99\/14 and 6\/4*w\/(-27).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4, 8*d - 36*d - 2*z + 7*z = 3*z + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 49, 9, -0.4.\nAnswer: -0.4, 0, 9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -4) + (-1 + 4 - 3). Suppose 3 = f*c - 12. Solve 0 = 2*h - q + c, -2*h + 3*h + 5*q + 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45112036*f**2 - 239 + 22556015*f**2 + 22556020*f**2.\nAnswer: -f**2 - 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9865467ug in nanograms?\nAnswer: 986.5467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 2*o. Suppose 3*n - 4*r = -7*r - 18, -2*n = -o*r - 16. Let v be 1\/(-2 + 1 - n). Let q(i) = -7*i - 1. Calculate q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from thhhwrrhhhrweerh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -5*f. Sort 1, -10, f in descending order.\nAnswer: f, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96, 193, 298, 417, 556?\n\"Answer: g**3 - 2*g**2 + 96*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 2 u when four letters picked without replacement from {k: 1, n: 3, u: 2, g: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/60 + x**4\/3 - 7*x**3\/3 + 3*x**2. List the prime factors of o(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9329.344 tonnes to kilograms.\nAnswer: 9329344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58275+1082855\nAnswer: 1024580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 + 54*z - 765. What is the remainder when d(13) is divided by 240?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187 + 680. Suppose -7*z = -3*h - 4*z + 513, 0 = 3*h + 2*z - y. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4437 = 3*t + t, 2 = t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17594898 and 1785.\nAnswer: 615821430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 10490400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042204341 (base 5) in base 16?\nAnswer: -2326e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:25 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 22. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -148. Let m = 1\/18 + 4\/9. What is the closest to -1 in -3, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664650 to the power of 1\/2, to the nearest integer?\nAnswer: 2582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 128 = -t + 5*t, -3*t + d + 96 = 0. What is the tens digit of 32\/t*2*221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from coococ.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297560 and 1976710.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 451 = -1214. What are the prime factors of l?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:50 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11258684866 minus 0.2595?\nAnswer: 11258684865.7405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a week in hours?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/73)*r**11)\/((r*r*r\/(r*(r\/r**(3\/11)*r)\/r))\/r*r*r)**(-4\/25) assuming r is positive.\nAnswer: r**(9103\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 63*m - 80. Calculate h(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29288\/15 - 1952. Let p(a) be the second derivative of r*a**3 - 1\/15*a**4 - 8\/5*a**2 + 12*a + 0. Factor p(k).\nAnswer: -4*(k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*n**3*r + 13*n**3 + 11966*n**2*r + 2*n**2 - n*r + 123*n - 53*r + 560 wrt n.\nAnswer: -66*n*r + 78*n + 23932*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-32))\/3 + (-148)\/32. Put -3, 3, 4, n in descending order.\nAnswer: 4, 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413779356 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-34))\/((-4)\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 975 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -50*b**2 + 2*b + 3. Let l(t) = 149*t**2 - 6*t - 8. What is 11*f(v) + 4*l(v)?\nAnswer: 46*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:08 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62223 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -25. Let n = y + -1. Let -1\/6*j**3 + 0*j - 1\/6*j**2 + n + 1\/6*j**5 + 1\/6*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 118*g**2\/7 + 240*g - 1800\/7.\nAnswer: 2*(g - 1)*(g + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-24)*f*f*f\/(f*f**18)*(f**(5\/2)\/f)**(-43\/3))**(-2\/87) assuming f is positive.\nAnswer: f**(41\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*h = -279, 343 - 44 = 5*u + h. Suppose m + u = 5*l, -m - 17 = -l - 6*m. Solve -4*i - 5*d + l = 0, 4*d - 15 = -5*i + d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**8\/420 + a**6\/180 - 2*a**3 + 10*a**2. Let k(w) be the first derivative of x(w). Find the third derivative of k(r) wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -68?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f**3 - f**2 - 10*f + 1. Let l be x(-3). Find the common denominator of 2\/l*58 - (-6)\/8 and 12\/35.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + g = -1598, 0 = g + 1647 - 1649. Calculate the highest common factor of m and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 3, l: 1, m: 2, r: 9, d: 1}. Give prob of sequence mmn.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 36. Let m(x) = -3 - 4*x + 0*x + 2*x. Let d(r) = -r - 2. What is t*m(p) - 4*d(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -89. Suppose 3*r - 2*c + 3*c - z = 0, -88 = -5*r + 4*c. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 33*g + 52 = 0. Suppose -5*u + g*u = -16. What is the units digit of (-4)\/u - 7\/(35\/(-890))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302917 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 19*j**2 - 88*j + 9. Determine n(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0, -4, -0.3, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 - 404*q - 22. Let p(g) = 3*g**2 - 81*g - 4. Determine 11*p(h) - 2*x(h).\nAnswer: 3*h**2 - 83*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23664.06 + -23676.059978. Let s = 2.8 + -14.8. Let b = s - a. Round b to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 - 10) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 181, 445, 701, 943, 1165, 1361, 1525, 1651?\n\"Answer: -t**3 + 2*t**2 + 265*t - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -36*r + 3. Let g be t(-3). Let f = -1559 + 1625. Let w = g - f. Calculate the highest common factor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 3\/8, 3\/7, -8\/19, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 - -133010?\nAnswer: 132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 485941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1229087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 51 + 67 = -2*j, -5*y - 37 = 4*j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296577?\nAnswer: 3, 31, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzkkpkp. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 2*t**2 - t**2 + 2*t**2. Let j(k) be the third derivative of -k**4\/12 + k**2. Calculate y(j(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584 times -40856?\nAnswer: -187283904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.05, 15, 0.04004 in descending order.\nAnswer: 15, 0.04004, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575011086?\nAnswer: 2, 3, 13, 23, 197, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2863741344?\nAnswer: 2, 3, 29830639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161744729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-6) - 5)\/((-2)\/18). Let g = 769 + -508. Suppose 3 = -r + 6, -2*a + r = -g. What is the highest common factor of a and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from -1016079217.\nAnswer: -1016079197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 54 = 5*p, -4*p + 87*x + 43 = 86*x. Let c(b) = -3*b + 37. What is c(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6727, 3, -2 in descending order.\nAnswer: 6727, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2607, -18, -0.3, -23, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 9*x - 106589. Calculate d(-187).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 10 + -8 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t + 5. What is the third derivative of -4*f**t - 21*f**5 - 305*f + 305*f - f**2 wrt f?\nAnswer: -1260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-849)\/(-15) + 4\/10. Suppose f = 5*h - 63. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 954733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 34 - -65) + -19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -11. Let s = u - -33. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 g when two letters picked without replacement from gdxbedddeeob.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 11 - -5 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -209*i**2 + 52*i + 45. Let r(n) = -52*n**2 + 13*n + 10. Give 2*m(y) - 9*r(y).\nAnswer: 50*y**2 - 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:25 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3 + 8*n**3 - 9*n**3 - 4*n - 2*n**2 + 11*n. Is w(-6) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -201 = -201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -120*k + 4678. Calculate x(39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224 - 3a38?\nAnswer: -3814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 108. Let l = x + 10. Suppose -g = l*g - 48. Let y(b) = -b + 5. What is y(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d**2 + 2. Let r(w) be the second derivative of 19*w**4\/4 - 640*w. What is r(l(f))?\nAnswer: 25137*f**4 + 4788*f**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:35 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107525 and 166749770?\nAnswer: 833748850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14)\/(278518\/(-4470480) - (-2)\/45).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/9 + 22*o**2\/3 - 32*o\/9.\nAnswer: -2*o*(o - 16)*(2*o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.851 + 21.851. What is the nearest to p in 4, -3\/2, -4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 1, v: 1, e: 2, f: 3, i: 3}. Give prob of sequence nee.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 times -0.2\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/60 - i**5\/12 + i**4\/6 - i**3\/6 + 3*i**2. Suppose -5*a = 4*a - 27. What is the units digit of g(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 7 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2441 + 22514?\nAnswer: 20033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10325 (base 10) in base 4?\nAnswer: 2201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 1\/23 (c) 0.065 (d) -15.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -748939.9 rounded to the nearest one thousand?\nAnswer: -749000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 4}. Give prob of picking 3 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 2702?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = 3*a, -5*r = 2*a - 216. Let l(x) = -12*x + 371. What is the remainder when l(17) is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19902, -39269, -58100, -76401, -94178, -111437, -128184?\n\"Answer: -h**3 + 274*h**2 - 20182*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = -u, -2 = -3*f - 3*u - 23. Let a be f - 3\/((-63)\/60). What is the second biggest value in a, 1\/2, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 - (-18 + (3 - (0 - 6))) - -74?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -177819128 divided by -4?\nAnswer: 44454782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -57, -190, -0.017?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 2:56 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2003550 - 3?\nAnswer: 2003543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-49)\/(-14))\/(-7) - -1. What is the biggest value in 1, -1\/9, k, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*57325 + (3 - 4) + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/5 + 2632*x**3\/5 + 21284*x**2\/5 + 18648*x\/5 = 0.\nAnswer: -7, -1, 0, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.911 to the nearest integer.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 14 - 14 + 4*b)*(2 + 1 - 1).\nAnswer: 2*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 611 - 1956. Let h = m + -586. What is the units digit of (-6)\/12 - h\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602857 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 4*l**2. Let y be k(4). Suppose -2*v - g + 94 = y, 5*g + 233 = 5*v - 32. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -22*x**2. Suppose -3*z = 523 - 2110. Let f(h) = 537*h + z*h - 1074*h. Determine o(f(k)).\nAnswer: -1408*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-340)\/102)\/((-1)\/627). Suppose -x = -p - 18*p. What is the remainder when p is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -4*j, -h + 2*j = 0. Suppose -5*k + 1 = 2*s, 3*k + 5*s = -k + 11. Sort h, k, -2 in increasing order.\nAnswer: -2, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let s(t) = n - t**2 + 11*t - 7 - 13 + 4*t. What is the tens digit of s(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Let c = 0 + d. Let r be (0 - -1)*0\/(-7). Solve -c*a + 3*a = 2*o, r = -o + a + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 - 111000110000000?\nAnswer: -111000111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 10. Let m be g(5). Solve m*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 3*u**2 - 48*u + 48 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1325, -2655, -3987, -5321?\nAnswer: -6657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 111121?\nAnswer: 111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23*s - 851. Let j be p(37). Let h = -1.5 + 1. Let d = 4.07 - 0.07. What is the closest to j in d, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12725846473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d**3 - d**2 + 4*d + 6. Let v(k) = 10*k**3 - k**2 + 4*k + 5. Determine -5*g(a) + 6*v(a).\nAnswer: 5*a**3 - a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.52, 2\/17, -0.05 in decreasing order.\nAnswer: 5, 2\/17, -0.05, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -7\/20*v**5 + 9*v + 0*v**4 + 2 - 3\/2*v**2 + 0*v**3. Let m(c) be the first derivative of d(c). Differentiate m(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 3*a - 3. Let q(h) = 14*h**2 + 7*h - 7. Let x(m) = -3*q(m) + 7*w(m). Let u(s) be the first derivative of s**2\/2 - 1. Give u(x(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1011 and 583010?\nAnswer: 1749030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -6, 21 = h - 4*j + 2. Let m(u) = -u**3 + 8*u**2 - 8*u + 2. Determine m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 203946 = 5*a - 203682, -a = -0*l + l - 57 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-5 + -4)) + 10 + -4 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -5. Suppose 0*l - 2*g + 7 = -l, -2*l - t = -g. Let n = l - -5. Solve -5*c = -n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 300?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 = m - 4*y - 402, 0 = 3*y - 15 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/74640 and -89\/3768.\nAnswer: 11718480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 920*n.\nAnswer: -5*n*(n + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let m be o(-3). What is the units digit of 14\/m*9\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 119.\nAnswer: -3\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*z + 3*z - z)*(0*z**2 + 3*z**2 - 2*z**2) + (-4*z + 4*z + 2*z)*(z**2 - 10*z**2 + z**2) in the form c*z + l*z**3 + o*z**2 + n and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m + 159*m**3 + 9*m**2 + 1 - 82*m**3 - 78*m**3 - 2. Let g(b) = 2*b**2 + 3*b. What is -2*f(i) + 9*g(i)?\nAnswer: 2*i**3 + 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37.408 and 4495.\nAnswer: 4532.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*w - 30814, 0 = w + c - 8329 - 7070. Is w a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmuhugw. Give prob of picking 1 h and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 415*v**2 + 2. Let f(z) = z. Give f(o(m)).\nAnswer: 415*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12201 - -1314410?\nAnswer: 1302204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-190)*38)\/((2\/14)\/((-20)\/(-210)))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) -1\/3 (c) 2\/35 (d) 0 (e) 5\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 17. Let l be h(17). Suppose -6*a + 11*a = l. Let u(q) = -6 + q + a*q + 7. Give u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 11 = 4*g - 39, -3*d = 5*g - 57 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*c + 3*m - 18 - 26, -2*c = -2*m + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-1*sqrt(1584)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 92 (c) -2 (d) 1.98 (e) -0.15 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -9. Suppose 0 = -11*i + 6*i + 30. Let y(r) = i*r**3 - r**3 - 2 - 4*r**3 + r**2 + 3*r**2. Determine y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10357613 divided by -6.\nAnswer: 10357613\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/2 in 0, 5\/2, -0.1, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12929 * 1.5.\nAnswer: 19393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9148*q - 306 = 9199*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*p + 68, -5*z - 20 = 4*p - 64. Let t be (61 - 1)*8\/z. Calculate the greatest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 127. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*z - 54*z + 7 + 96*z in the form m + x*z and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 11*a**3 - 9*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 1, c: 2, g: 3, t: 1}. What is prob of sequence rppt?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z + z)*(4*z**2 + 7*z**2 + 4*z**2 + (-5 - 1 - 2)*(2*z**2 + 0*z**2 - 3*z**2) + (-z + 0 + 0)*(3*z + 2*z - 4*z)).\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqbbbqqqbbbqbqbqqo. Give prob of sequence oob.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12*4)\/(126\/(-54))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - c - 490 = 0, -c = x - 465 - 29. Calculate the highest common divisor of x and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1022, -1492, -2276, -3374, -4786, -6512?\nAnswer: -8552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 6. Suppose 3*j = b - 18, 4*j - b + 17 = -7. What is the smallest common multiple of (-106)\/(-4) + 15\/j and z(12)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-24)*l\/l**(-4\/7))**(-1\/7) assuming l is positive.\nAnswer: l**(157\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -1\/5*r**3 + 3*r + 1\/10*r**2 + 0 + 3\/20*r**4. Determine b so that q(b) = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -188, -735, -1812, -3599, -6276?\nAnswer: -10023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**5\/20 + 5*o**4\/12 + 2*o**3\/3 + 3*o**2\/2 - 2*o + 3. Let r be 2*4\/((-40)\/(-75)). Suppose r - 3 = -3*m. What is l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3 + 1 + 1 - 17*f. Let g be l(-2). Let x be 2\/(-4) - g\/(-42). Which is the biggest value? (a) -3\/2 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let k = -4.2711 - -0.1851. Let q = -0.086 - k. Which is the third biggest value? (a) 1\/7 (b) j (c) q (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 5*k. Let h be d(4). Suppose 5*w = 6 + h. Suppose -2*v = 4*n - 22, w*v + n = 6*n + 4. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1620046.5706 and 6418.\nAnswer: -1613628.5706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 + 5*y + 2. Let t be r(5). Let k = -5 + t. Let j = -0.92 - 3.08. Sort j, 1, k, -0.03 in increasing order.\nAnswer: j, k, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -19 + 16 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3468 and 2445444?\nAnswer: 706733316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-6)\/5)*70\/(-28). Differentiate -18*y**f - 5*y**3 + 26 + 2*y**3 - 22 with respect to y.\nAnswer: -63*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/((-84)\/(-63))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 750*h**5 - 3974*h**4 + 2*h**2 - 1843*h - 81 wrt h?\nAnswer: 45000*h**2 - 95376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - -740. List the prime factors of w.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70425a (base 11) to base 15\nAnswer: -175a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (2 - (-2 + 2)). Let b be 38\/14 - (-2)\/7. Let f = -7 - -9. Solve -o - 3*o - f*u - z = 0, b*o + u = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**3 + 4*a**4 + 0*a**3)*(5 - 1 - 1) + 4 + a**4 - 4 - 2*a**2 to h*a + x*a**2 + f*a**3 + g + d*a**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 7:45 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1 + 0\/(-7). Suppose -4*p = 4*p. Solve f = -p*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxl when four letters picked without replacement from xoxlkkxgxogg.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5560*f**3 - 5560*f**3 - 115*f**4 + (f**2 + 2 - 2)*(-f**2 + 3*f**2 + 0*f**2) - 5*f**4 + 3*f**4 + f**4 to v*f**2 + t*f + p*f**4 + m + d*f**3 and give p.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:27 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 2227*g - 3543429\/2.\nAnswer: -(g - 3417)*(g - 1037)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6487 divided by -13\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - y = 1, -7*y = 3*a - 11*y - 4. Solve 2*p + 14*p + 64 = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19312 and 1704250?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17544 and 74562.\nAnswer: 298248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2) + -6 + 45 + -23.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4380 and -181\/78090.\nAnswer: 11401140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 30 - o + 65.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.6. Let z(g) = g + 14. Let m be z(-11). Suppose 0 = -m*k + 3*r - 3, 0 = 4*k - 5*r + 9 - 2. Which is the closest to 0? (a) p (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5 + 70*b**4 - 185*b**3 - 600*b**2 + 2160*b = 0.\nAnswer: -3, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 24. Let k be 10\/(-1) - (-3 - -5). Let j be (k\/8)\/(2\/8). Put c, j, -2 in ascending order.\nAnswer: j, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*j**4\/5 + 638*j**3\/5 + 856*j**2\/5 - 4664*j\/5 + 288\/5 = 0. Calculate j.\nAnswer: -18, -4, 1\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 982872, 982843, 982814, 982785?\n\"Answer: -29*l + 982901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 790, 1432, 2068?\nAnswer: 2698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from {x: 2, d: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104802, -209605, -314408, -419211, -524014, -628817?\nAnswer: -733620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4\/3)*r)*r)**(-20)*(r\/(r*r**(-8)\/r))\/(r\/(r\/(r*r**5))) assuming r is positive.\nAnswer: r**(-131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + ((1*sqrt(475)*-4 + sqrt(475) - sqrt(475)) + 2 - (5 + 2 + sqrt(475) + 5)))**2.\nAnswer: 450*sqrt(19) + 11955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 10, l: 7, b: 1}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b - 21*b + 8*b + (b - b - b)*(0 + 6 - 4) + 5*b - 17*b - 7*b + (-2*b + 0*b + 0*b)*(1 + 3 - 2) + 3*b - 4*b - b to the form f*b + m and give f.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 221487098 a multiple of 3529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 17 - 2*o + 16)*(0*o**4 + 5*o**4 + 0*o**4).\nAnswer: -10*o**5 + 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 2:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.322172 rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbbbwbwww. What is prob of sequence bb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*x - 105*x - 5 - 1)*(-x - 3*x + 10*x).\nAnswer: -18*x**2 - 36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323 + 13011321?\nAnswer: 13003332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12616\/(-266) + (-129)\/(-301)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -29306.\nAnswer: 35\/29306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -358814 divided by -4857?\nAnswer: 358814\/4857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 16 = -5*j. Suppose -5*o + 5*w = 45, j = -2*o - w + 3. Let p = 13 + o. Solve 0 = -3*l + 2*l + 3*i + p, -4*i = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - (-7301)\/147 - (-3 - -1 - (-320)\/84).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5 = -10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -784*t**2 - 9018*t - 23.\nAnswer: -(2*t + 23)*(392*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3080830 and 364538?\nAnswer: 3226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595888023.\nAnswer: 1595888023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19022747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15363 is divided by 145?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3*w + 1. Suppose 0*d = d + 4. Let l be o(d). Differentiate -l + 2 - p + 2*p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0 - (-55)\/5. Let v(l) = -l + 15. Let j be v(s). Let t = -6 + 5.7. Which is the closest to 0.1? (a) j (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125\/308 - -1\/44. Let f be (-10)\/40 + 38\/24. What is the fourth smallest value in f, 3, -5, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 - b + 219 - 443 + 4*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24 + 0 - 8\/2. Calculate the remainder when ((-105)\/y)\/(6\/16) is divided by 5 - (-2 - -1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891.127075 rounded to one decimal place?\nAnswer: 2891.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:36 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13 - 2 = 0. Solve 2*g - 1 = -a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - n + 0*n. Let b(m) = -2*m**2. Calculate b(w(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in -69, 1, -2\/7, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 42*d + 137*d + 344*d in the form u*d + a and give u.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*m - 8122, k = -5*m + 850 + 815. What is the remainder when k is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565, 4613, 15703, 37387, 73217?\nAnswer: 126745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 48 = -5*t + 2*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 1183 - 3307. Is o less than 705\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 941725 + -11292037\/12. Let o = -722 + h. Which is the nearest to -1\/8? (a) o (b) 3 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 75*a**2 + 3*a. Let b(f) = f**2 - f. What is -12*b(d) - 4*v(d)?\nAnswer: -312*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/(20\/180). What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97745805 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskkks. What is prob of sequence skss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381922 is divided by 127301?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052875803 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -5452414?\nAnswer: 5452420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 116*m + 22. Let c be q(3). Suppose 4*z = -3*a - 265, 4*a - 2*z + c = z. Let i = 93 + a. Solve i*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, g: 1, t: 4, b: 1, f: 2}. What is prob of sequence tgfb?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*sqrt(234)\/sqrt(6))\/(sqrt(15)\/sqrt(5)*4) + -3.\nAnswer: -3*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -228*m + 214. Let o(v) = 228*v - 215. Let r(b) = 2*o(b) + 3*q(b). What is the hundreds digit of r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 983 (b) -5 (c) -77 (d) -1 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 + 323612*r - 3*r**2 - 323633*r. Let a(u) = -17*u. Determine a(g(s)).\nAnswer: -51*s**2 + 357*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, 8, 1\/660, -4, -23 in increasing order.\nAnswer: -23, -4, -0.27, 1\/660, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.06 + -8.06. Let o = 1.7 + -1.99. Let q = o - 0.01. Sort q, c, -0.06 in descending order.\nAnswer: c, -0.06, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14505)\/967*(-84)\/300.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(180) - sqrt(180)*-1)**2.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 270966\nAnswer: 5\/270966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -15. Let u = o - -12.24. Let t = u + -0.04. Which is the second biggest value? (a) 3 (b) -3\/8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*c + 2\/9*c**3 + 2\/9*c**2 - 2\/9 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/60 + -2)\/((-2)\/(-6)). Let y be ((-84)\/50)\/((-8)\/(-35)). Let g = z - y. Is 1\/4 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -18*p**2. Let f(g) be the second derivative of -5*g**3\/2 - 38*g - 3. Determine f(s(u)).\nAnswer: 270*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*x = -2706 + 2711, -4 = 4*o - 2*x - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/443 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 38. Let x be 4\/j - 424\/(-36). Calculate the highest common factor of 48 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 + 202. Suppose -11*a = m*a - 1575. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(280) - (sqrt(280) + sqrt(280)*3 + sqrt(280)) - sqrt(280))\/sqrt(8))\/(sqrt(180)\/sqrt(4))*6.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149\/6 - (-5)\/30 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 6:51 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/5211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(8*s**2 + 38 - 38).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 1\/8 (c) 11 (d) -52 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2741\/5 - 550. Let w = -23\/10 - m. Let n = -3 - -1. What is the nearest to 0.1 in n, 2\/9, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11011111111000100101100?\nAnswer: 11011111111000100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - -67) + 0 + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.406 + 0.034. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553362 (base 7) to base 15\nAnswer: 1dc40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, -1\/68, -4, 2, -4\/5, -1\/7, -1.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 28. Let z be 2*(2 + 2\/4). Suppose x + 19 = -z*y - 2, -y - 9 = -x. Solve -3*o + 3*g = -9, -g - 3*g - l = x*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 + 4*d**2 + 6*d + 34. Let o be k(-5). Let a = 1428 + o. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 40*r**2 - 65*r - 384. What is t(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let r(g) = -40*g + 32. Let d(i) = -i + 1. Let f(t) = -96*d(t) + 3*r(t). Determine -2*f(n) - 44*l(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**2*k**2*y - 6*j**2*y - 17*j**2 + 7*k**4 + 2*y with respect to k.\nAnswer: 8*j**2*k*y + 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by -3.\nAnswer: -238\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmvt when four letters picked without replacement from tcwggtvm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/3 (c) -1915\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (880\/132)\/(2\/3) - -8. Solve r*l - 18 - 54 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = -i, -5*i + 0 = -r + 11. Let x = 197\/2 + -111. Calculate the common denominator of x and i\/(-18) - (-3 - 238\/(-117)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -942655 or -942648?\nAnswer: -942648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let k(c) = -12*c + 73. Let j(v) = -k(v) - 4*u(v). Let s(r) = r**3 + 5*r**2 - 3*r - 5. Let b be s(-2). What are the prime factors of j(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**3 + w**3 + 0*w**3)*(-5*w + 4*w + 5*w) + 27*w**4 - 1548*w + 1548*w to b*w**2 + l + s*w + j*w**3 + n*w**4 and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/4 - 5*t**4\/6 - 25*t**3\/6 + 15*t**2 - 218*t. Find d, given that g(d) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 354*j**3 + 392?\nAnswer: 1062*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -68?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -0*p - 10. Suppose 8 = 4*i + 4*z, 0 = z - 2*z. What are the prime factors of i + -4*p - -34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/4, 0.1, -0.1, -1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:31 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2692*p + 20464 = -27882 - 7579 - 14067 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100 - 122 - 79)*(z + z + 8*z) to h*z + m and give h.\nAnswer: -3010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 19*i**3 + 4*i**3 - 32*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t. Let v(c) = -142*c. Give v(o(s)).\nAnswer: -1704*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -10, -4.\nAnswer: -10, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 - 155 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*y + 1291 = 0, 0 = 5*y + 8 + 7. Suppose -3*n + p = 2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 + 19 - 8 - 71).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 6. Let o be s(-9). Solve -n + 3*a - 20 = 0, n - 12 = -o*a - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 + o + 8. Let p be k(-7). Suppose 3*r = p + 5. Calculate the remainder when 160\/28 - 2\/(-7) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 2 h when four letters picked without replacement from hqpxqxqshqqq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2 = 2*z + 10, 0 = 4*z - 2*b - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1080\/(-864))\/(-1*(-1110)\/(-48))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20123 - -102?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 583222 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -6920.5 (c) -2 (d) 0.5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.99 + 19.95. Which is the closest to j? (a) -1\/4 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-40))\/(-1 - (-230)\/80).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from lvmsjmsjmjvj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1240.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 2*v**2 + 5*v - 2. Suppose -5*y = -4*y - 3. Let h be o(y). Suppose -h*i = -4*z - 28 + 76, 3*i = -5*z + 60. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - (2 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-800)\/1092) - -11. Which is the nearest to 1\/3? (a) 0.4 (b) -14 (c) m (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -53.069. Let o = l + -0.069. Let d = -2 + 2.2. What is the third biggest value in d, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 2 + 1 - 2*m)*(2 - m**2 - 2) as b*m + u + t*m**2 + h*m**3 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + ((-7)\/((-105)\/(-36)) - -5). Let -6*h**2 + 16\/5*h**3 + 32\/5*h**4 + 0 - l*h = 0. Calculate h.\nAnswer: -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1097, 387.\nAnswer: -1097, 46, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(19\/5)*b)\/((b*b**(-2)*b)\/b))**44 assuming b is positive.\nAnswer: b**(1496\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*t**4 - 46*t**4 - 11*t**4)*(6*t - 3*t - 2*t + (4 + 2*t - 4)*(1 - 3 + 0) + 2*t - 3*t + 3*t + 4*t - t + 0*t).\nAnswer: -176*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*(v**1*v)\/v*v)\/v))\/v**8)**(26\/9)*v**(-2)*v**(1\/6)\/v*(v**(2\/7))**(19\/3) assuming v is positive.\nAnswer: v**(-1135\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*c + 3 - 9 - 54*c - 67*c - 74*c.\nAnswer: -24*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*w - 3*w**2 - 55*w + 6)*(-6*w + 59 - 59) in the form t*w**3 + k + i*w**2 + j*w and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*j + 4*l + 66, 3*j = 4*l + 10 - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and -75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**10\/831600 + g**9\/332640 - g**8\/55440 + g**5\/3 + 3*g**2 + 2*g. Let i(s) be the third derivative of h(s). Factor i(x).\nAnswer: 2*x**2*(x - 1)*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81423990 divided by -4014.\nAnswer: -20285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.38 + 48. Let t = -1.7 + r. Round t to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234423 - -43341?\nAnswer: 333314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-1)\/1) + 4. Let w be ((-9)\/(-15))\/(1\/x). Let d be -2*w\/28*2. What is the biggest value in -0.4, d, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -11094.9?\nAnswer: -88759.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -156. Let g = -58 + d. Let i = g - 52.99999961. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 7*j**3 - 6*j**3 + j**2 - 2 + 5*j**2 as b*j + g + q*j**2 + r*j**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24798205 is divided by 8358?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4\/7 - 832*q**3\/7 + 1376*q**2\/7 + 7936*q + 98880\/7 = 0?\nAnswer: -6, -2, 10, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166112 or -166114?\nAnswer: -166112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -8 (c) 0.5 (d) 2\/35 (e) 640\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 - 6*k - 1. Let h(v) = -3*v**2 - 3*v. Let j(d) = 7*h(d) - 4*i(d). Let b be j(3). Differentiate 28*w - 2*w**b - 28*w - 4 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200851.396 * 2\nAnswer: -401702.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbqa when four letters picked without replacement from {r: 1, a: 1, b: 3, t: 1, q: 2, k: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -10, 0, 388?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 - 1) - -49. Suppose 2*d - 128 = 558. Calculate the highest common factor of z and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -11\/24*z**4 - 121\/240*z**5 + 0*z + 0 + 23*z**2 - 1\/6*z**3. Factor c(g).\nAnswer: -(11*g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 3*o + 7. Suppose 5*f = -3*t, -f + 0*t = 2*t. Suppose 0*w - 3*w + 9 = f. Calculate the remainder when i(w) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1317.\nAnswer: -2\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 13*f**2 + 14*f - 2. Let t be a(-14). Let o = 14 + t. Let b be (-11)\/(-9) - o\/54. Put -2, b, -4 in ascending order.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 6*h + 11. Let p be l(7). Let d be 1 + (-2)\/2*-4. Let g = -0.0467 - -0.0467. Which is the third smallest value? (a) g (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2713, -2699, -2675, -2641, -2597, -2543, -2479?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 44 = -2*z. Let m(n) = -n - 1. Let r(u) = -19*u - 14. Let d(y) = z*m(y) + 2*r(y). Let g(k) = -2 + 2 - 3*k + 0 + 2 - 3. Give 4*d(x) - 22*g(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23113103 (base 4) to base 6\nAnswer: -555255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 222061320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 893228056 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 + a**3 - 3*a**3 - 9*a**2 - 416*a.\nAnswer: -2*a**3 - 416*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k**2 - 54 + 54)*(-2*k + 3*k + 55 - 53) - 3*k**3 + k**3 + 3*k**3.\nAnswer: -13*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*j**2 + j**2 + 33 - j**2 + 0*j**2 + 28*j**2 as s + v*j**2 + x*j and give v.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.081+-4771.6\nAnswer: -4771.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -441 - -1228. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 6*x - 8. Calculate k(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69da7 - 19?\nAnswer: 69d8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*p + 48 - 56, 3*a = -5*p + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -40*f + 50. Let t(c) = 13*c - 1. Let l(o) = i(o) + 3*t(o). Let r = 0 - -15. Let h be l(r). What is the highest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 230431.1 litres?\nAnswer: 230431100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*b + 14 = 10, -4*a + b + 7 = 0. Calculate the highest common divisor of a and 198.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d - 79?\nAnswer: -e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1837, 3674, 5507, 7336?\n\"Answer: -2*n**2 + 1843*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 29 + 31 + 11 - 13.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -36818\nAnswer: 2\/18409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198.3 - 186. Let m = u + -11.6. Does m = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86478 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*b**2 - 77 - 38*b.\nAnswer: (b - 154)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331692.2928 take away 2653?\nAnswer: -1334345.2928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.79003254 + 32.79. Round v to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 13. Let q(d) = -d - 8. Let p be q(-9). Which is the closest to p? (a) -1\/7 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 35*j - 60. Let b be t(-2). Solve h - 2 = -b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:19 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90250 and 1080720?\nAnswer: 513342000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooododddddo. What is prob of sequence do?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niiinninibnbnxnnibn. What is prob of picking 1 b, 1 n, 1 x, and 1 i?\nAnswer: 27\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 + 6*l - 1. List the prime factors of h(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/3 + (4 - 0). Let k(x) be the first derivative of -4*x + g*x**3 + 1 + 2*x**2. Calculate k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.964 - 0.036. Let w = k + 22. Is w bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (2 + 1 - 2)*(-3 - 2 + 2) + 6 - 5 - 2)*((-3 + 1 + 3)*(-2*y + 1 - 1) + 6*y - y - 2*y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 12*o**2 + 15*o. What is x(4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - -14. What is the least common multiple of 10 and b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.605 - 0.505. Let d = -0.11 - x. Which is the second smallest value? (a) 2\/5 (b) 4\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660 by -10.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -59 times 4.4\nAnswer: -259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12474*f + 18 = 2*n + 12480*f, -4*f = -3*n - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8, -5*u - 5*r = -r + 89. Let q be (36\/u)\/((-1)\/7). Suppose -l = 2*l - q. What is the smallest common multiple of 9 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2404.165460988 - 31\nAnswer: -2435.165460988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231.6798 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -144.5 - -135.5. Which is the nearest to i? (a) -1 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50340, 101009, 151678, 202347, 253016, 303685?\n\"Answer: 50669*f - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 5, i: 3, g: 1}. What is prob of picking 3 f?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - k + 45861 = -128811, 4*d - 174688 = 3*k. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26686 divided by -2?\nAnswer: 13343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 2*p**2 - 2*p - 20. What is f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - m + 3*m**3 - 4*m**3 - 10*m**3 as n*m**3 + y*m + c + s*m**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2) - (-1)\/2. Let s be (6\/3)\/((-70)\/(-175)) + (21\/24 - 6). What is the closest to b in s, 2\/9, 0.4, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as 1829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5973 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60078699 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3825491, -7651070, -11476649, -15302228?\nAnswer: -19127807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*z + 9, -46 + 13 = -5*d + 4*z. Solve -2*n + 0*n = t - d, 0 = n - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378.32 - -0.1161814.\nAnswer: 378.4361814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.33*50.38\nAnswer: 117.3854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-27)\/5)\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-50)\/(-150))\/(1\/39). Suppose 0 = 2*q + 5*h - 18, 2*q - 8 = -h + 2. Find the third derivative of -c**4 + 2*c**q - c**2 + 5*c**4 - k*c**4 wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420 = 1502*f + 34853 + 30317 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 277*n**2 - n - 2. Let a be g(-1). Let s be (a\/18)\/((-4)\/(-6)). Suppose 28*x - s*x = 0. Solve 0 = -5*o + 2*h - 18, x*h = 5*o - 3*h + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9 and -181\/12180.\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.7 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 10:47 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -189, -447, -901, -1617, -2661?\nAnswer: -4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -220*g + 206*g + 238 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10314 or 10344?\nAnswer: 10344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 + 3*w. Let u be b(-2). Let o be (u - (-9)\/(-4))*1. Which is bigger: 2\/3 or o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118.949 - 119. Round q to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 153*s**2 + 1313*s + 4. What is r(-9)?\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - 10 = 0. Suppose -2*b + 0*m + m + 7 = 0, 4*b - 11 = k*m. List the prime factors of b - (-2)\/(-1) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 4*m - 3. Let q be r(-3). Let b = 17 - q. Let u be (-2)\/(-4)*b\/4. What is the second biggest value in 4, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43829*f**2 - 836*f.\nAnswer: 87658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbn when three letters picked without replacement from {b: 1, z: 3, n: 3, y: 1, t: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u - 5*u - 21*u + 572. Solve 32*z - u*z = -171 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 574 + -575. What is the units digit of (-4846)\/(-25)*5 - c\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.596013 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*k = -397*k + 4*q + 4, -3*k + 18 = -2*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2465 + 2465.2. Let q = 0.1 - 0.6. Let j = 0.8 + -0.79. Which is the second smallest value? (a) q (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10467 * 5849\nAnswer: -61221483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3 + 35508*c**2 - 35502*c - 71012 = 0.\nAnswer: -1, 2, 17753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*p**3 - 4\/5*p**5 + 0*p**2 + 8\/5*p**4 + 0 + 0*p.\nAnswer: -4*p**3*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438048533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -45. Suppose -2*l + z = -4*l + u, 2*l - 9 = z. Suppose -l*h + 5*h - 169 = -2*d, 3*h + 313 = 4*d. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyttvtttttbjejtttt. Give prob of picking 1 b and 1 v.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3003*v - 3000*v - 27 = 2*k, -61 = 5*k - v for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6587817 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3 - 117*s**2 + 4563*s - 59319 = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2331 + -3303?\nAnswer: -5634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - -22 - (-12 + 26 + -11)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z + 40*z - 1 - 95*z.\nAnswer: -21*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 + -14.19. Let d = 15 + q. Is d smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1 - 20 - 7*v + 8. Let m be q(-13). Suppose -9*z + 6*z = -m. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 667429 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o**3 + 18*o**2 + 35*o - 7. Let x(d) = -13*d**3 + 19*d**2 + 36*d - 6. Let v(r) = 6*q(r) - 7*x(r). Find the second derivative of v(c) wrt c.\nAnswer: 6*c - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 0*x**4 - 5*x**4 + (x - 2*x - x)*(45*x**3 - 58*x**3 - 68*x**3).\nAnswer: 160*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**19*s**(-5)*(s**17)**(1\/25))**(1\/5) assuming s is positive.\nAnswer: s**(367\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + 8*t**2 + 145*t + 545. Give i(-4).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/25*(-20)\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, v: 2, b: 1, i: 1, c: 1}. What is prob of sequence ci?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v - 3*n, 4*v = 6*v - 4*n - 20. Suppose v = -2*u - 3*u + 50. Solve -2*y + 5*y = 3*m - 18, -5*m = -y - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1003, 1828, 2937, 4330, 6007, 7968, 10213?\nAnswer: 12742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2*g. Let t(z) = 3*z**2 + 5*z. Let s(y) = n(y) + t(y). Let q(x) = 2*x**2. Give s(q(f)).\nAnswer: 8*f**4 + 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-63) - 3\/((-252)\/2244)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 - -142. Suppose 7 = -5*y + 27. Which is the nearest to -0.1? (a) o (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450*w**5 + 21*w**4 + 8562*w**2 - w.\nAnswer: 27000*w**2 + 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - (1*sqrt(150) + sqrt(150)))\/sqrt(5) + sqrt(30))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2 - 7*c + 5. Let z(n) = -n + 11. Calculate the remainder when r(4) is divided by z(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 87*c + 3119*c + 3 - 1048*c to k*c + d and give k.\nAnswer: 2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c + q + 3*q, 3*q = 0. Let d be 14\/6 - 5\/15. Suppose -12 + 2 = -3*v + r, 0 = 3*v + 2*r + d. Solve 0*n - v*n = -c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14452184 divided by 446.\nAnswer: 32404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 75*l**2 - 11*l + 8. Let k(u) = 25*u**2 - 4*u + 3. Let c(t) = -11*k(t) + 4*v(t). Is c(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*a = -248*a - 7027719. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122010020201112 - 10?\nAnswer: 122010020201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 5 + -2*3\/(-2). Suppose 16 = -l*n - 0*u - u, -5*n = -3*u + 37. Is 45 - -1 - -8*n\/(-10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214855 divided by 442971?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 79 = 135 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 139112, 556762, 1252852, 2227382?\n\"Answer: 139220*t**2 - 10*t - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107073, 107147, 107211, 107259, 107285, 107283, 107247, 107171?\nAnswer: 107049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*w = 2*w + 29, 0 = -w + 1. Let t be 33 + 18\/(-2 - 4). Suppose 28 = 4*n - 3*h, t - 2 = 2*n - 5*h. Solve o + 5 = 2*o + 3*j, -j - y = n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(1605\/(-90) - -18). Solve -38*a - 3*r = -37*a - 6, 2*a = 4*r + o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 351 + 355 = 2*j, 2*j - 6*i - 11 + 114 = -7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -66\/47417 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8066318773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*(4 - 7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 37. Let f be o(42). Sort -2, 25, f, 1 in increasing order.\nAnswer: f, -2, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10604\/1007 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -22. Let i(c) = t - 2 - 17*c**2 + 20*c**2. Let u(j) = 3*j. Give u(i(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 10 = -12*x. Let s(a) = 76*a**x - 38*a**2 - 37*a**2 - 3*a. Calculate s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 3, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssuscscccdcsssdudgs. What is prob of picking 1 u and 1 s?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -26388 and -0.5.\nAnswer: -26388.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*g + 2*g**3 + 2 + g**4 + 75*g + 20 to the form r*g**2 + s + i*g**4 + c*g**3 + b*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 a, and 1 l when four letters picked without replacement from {q: 4, l: 6, a: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72, -66, -58, -48, -36, -22?\n\"Answer: z**2 + 3*z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*v**3 + a*v**2 + 2421*a*v + 37*v**3 + 971*v**2 wrt a.\nAnswer: 3*v**3 + v**2 + 2421*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 - 44*h - 78. What is the remainder when 319 is divided by j(-3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4 - -3. Which is the third smallest value? (a) z (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/((sqrt(216)\/sqrt(4))\/sqrt(9) + sqrt(6))*3)\/(sqrt(90)\/sqrt(160)*-6).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -3.16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -44 (b) -0.0146 (c) 5\/4 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3\/6 + 40*l**2 - 23925*l\/2 + 1194875\/3 = 0. What is l?\nAnswer: -158, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140050714 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/270 + 5*d**4\/18 - 56*d**3\/27 + 245*d**2 - 2*d. Determine k so that f(k) = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*c - 7*c + 2700 - 610 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3571 + 92*v**2 - 3594 + 7206 to m + p*v + u*v**2 and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-8) + (-139795)\/15320.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k**7\/k)*k)\/k)\/k)\/k)\/k)\/k*k*k**(7\/2) assuming k is positive.\nAnswer: k**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 + 4.7. Let s = g - 47.9. Round s to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u - 231*u + 318 = -177. Calculate the remainder when 33 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*c = -6, -3*t + 0*c - 5*c = 2. Is -41\/15 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 15 + -6 + -36.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 233.47642 and 0.4.\nAnswer: 233.87642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5340 and 1536?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 80*d - 399. Determine b(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20412781?\nAnswer: 29, 409, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -77\/16, -0.75, 0.4, 0 in descending order.\nAnswer: 0.4, 0, -0.75, -6\/5, -77\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340078923?\nAnswer: 3, 3301, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965185 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - t = 2*t - 1751, 5*t + 8695 = 5*n. Let u be 2\/9 - n\/(-18). Suppose -373 = -4*h - u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -19. Let w(b) = -b + 4. Let j = -4 + 4. Let k be w(j). Calculate the highest common factor of k and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 1473?\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1726814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-108)\/63)\/((-2)\/7). Solve -l*k - 25 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14156659 is divided by 4391.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 156*w + 104. Let m(t) = -t - 1. Calculate -f(v) - 104*m(v).\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + 5*sqrt(448))**2 + -4.\nAnswer: -800*sqrt(7) + 11296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305\/16 - 9745\/528. Let k = 2\/33 + b. What is the biggest value in 0, -0.07, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**3\/3 - p**2\/2 - p + 1. Let h = 957 + -960. What is x(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 362*y**2 - 25*y + 142. Does 22 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9287418*r**4 + 6503332*r.\nAnswer: -111449016*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 7*v**4 + 39*v**3 - 95*v**2 + 50*v.\nAnswer: -v*(v - 10)*(v - 1)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1632.78423 hours to weeks.\nAnswer: 9.71895375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 47\/10)\/(228\/(-190)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -325, -592, -865, -1144?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:13 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -5426) + 200 + -189. Calculate the greatest common divisor of 36 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.923 + -36.937. Let c = h + 0.014. Let s = 19.9999924 + c. What is s rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.00712713471 and 730?\nAnswer: 729.99287286529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5533, -5535, -5537, -5539?\n\"Answer: -2*m - 5531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 7*j + 3. Let h be i(10). Let m = h - -29. Suppose 122 = m*x - 60*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3022 + -3022.03. Is t < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 18. Are g and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214532 - -1500?\nAnswer: -213032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t**2 + 54*t + 1599. Is n(-95) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8583 is divided by 602?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 7*c + 4. Let q be r(-7). Suppose q*z = -0*z. Let k(f) = -f**2 - 7*f + 2. Let n be k(-7). Solve z = n*i + 3*v - 1, v = i + i - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 174*l**5 - 199*l**3 + 199*l**3 + (-l**4 + 2*l**3 - 2*l**3)*(2*l - 3*l + 3*l).\nAnswer: 172*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 3*b - 3. Suppose 0 = -5*y + u - 0*u + 50, 40 = 4*y + 5*u. Let p be 30\/y - 3*2. Determine z(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19710 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2223 bigger than -7996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(0*p + 5*p - p - 1).\nAnswer: -12*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 4*h + 0*h**2 - 2*h**3 - 19*h - 5*h**2 as i*h**3 + y + o*h**2 + c*h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -13303 less than -13332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.90541 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, -5, 0.01, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 17856.2?\nAnswer: 17856.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1195*j + 627*j - 778 - 779 + 1557 as f*j + b and give f.\nAnswer: 1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*w - 450 = 0, -2*g + 4*w = 6*w - 920. Suppose -3*k + 5*k + g = 4*x, 0 = 5*x + k - 590. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 24*i**3 - 384*i + 768 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26.6264 kilometers?\nAnswer: 26626.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 3*h**3 - h**3)*(0*h + 2*h - 20 - 3*h) - 2*h**3 - 2*h**4 + 2*h**3.\nAnswer: -5*h**4 - 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -850, -3244, -7202, -12730, -19834, -28520?\nAnswer: -38794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:21 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12 = 0, -20*h - 2*y = -19*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + -64198985\nAnswer: -64198986.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428118879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b + 6. Let x(r) = -r**3 + 3*r**2 + 7*r + 9. Let v be x(5). Let q be d(v). Let i = q + 16. Solve h = -h + i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2938, 5868, 8796, 11722, 14646, 17568, 20488?\n\"Answer: -m**2 + 2933*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -4) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288) + sqrt(288) + (1*sqrt(288))**2)*4 + (((2*sqrt(320) + sqrt(320))*3 - sqrt(320)) + sqrt(320))\/(sqrt(250) + 2*sqrt(250)).\nAnswer: -1152 - 468*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -15*s. Let l(w) = w**2 + 13*w - 36*w + 2*w**2 + 23*w. Give t(l(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 5. Let k be p(3). Let h be ((-6)\/(-9))\/((-38)\/6). Let q = -3 + 3.1. Which is the closest to q? (a) h (b) k (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3 - 8626602*t**2 + 2*t + 5619115 wrt t?\nAnswer: -3*t**2 - 17253204*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/10 - (0 - 8\/20). What is the nearest to f in -0.04, -2\/9, 2\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**3 - 1888*x**2\/3 + 832*x\/3.\nAnswer: 4*x*(x - 52)*(9*x - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 2*s - 2. Let t be n(-3). Suppose 4 = k + t. Let v be ((-4)\/78*k)\/2. Is 0 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * -116.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = t - 9, -16*t + 11*t + 9 = -3*l. Differentiate -47 + 192*q - 33 - 33*q - t wrt q.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 19. Suppose -6*a + i = -6. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28806?\nAnswer: 2, 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*d**2 - 710*d**2 + 353*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4434336 * -0.5.\nAnswer: -2217168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28 from 0.025.\nAnswer: -27.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9089 is divided by 2977?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5 = 2*j + j, -20*h + j + 1 = -19*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 8) to base 16.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 3\/10258, 8 in ascending order.\nAnswer: -2\/3, 3\/10258, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + ((-4)\/(-1))\/4. Suppose d*r + 3 = -5*z + 2, 0 = 5*z + 5. Calculate the lowest common multiple of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 20122?\nAnswer: -12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1 + 15376\/(-7440)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*t**2 + 101*t**2 + 1 - 80*t**3 - 9 + 44*t**2 to the form r*t + c*t**3 + z*t**2 + o and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 141583839.\nAnswer: -1\/47194613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/18676 and -79\/18676.\nAnswer: 18676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1184500 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let i = a - 4. What is the least common multiple of 2 and (-2)\/(-6) - 14\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*3)\/(19 - 18). Let v = 4 + j. Solve 5*l - 8 = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {k: 11, j: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/515 and -73\/1030.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**5 - 9*b - 15*b**5 + 5*b**5 - 23*b wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puvpnppupnpv. Give prob of sequence vnpu.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = -3*s - 4*n - 103, 0 = 3*s - 3*n - 285. Suppose 0 = 3*u + 6*u - 207. What is the highest common factor of u and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 1050*w**2 + 433076*w + 1308624.\nAnswer: -2*(w - 274)*(w + 3)*(w + 796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 6:36 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 84 - 96. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 5. Let q(z) = -2*z + 5. Let o(r) = -6*b(r) - 5*q(r). What is the hundreds digit of o(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4370289517 to the power of 1\/2, to the nearest integer?\nAnswer: 66108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10431 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 3*a**5 - 2*a**2 + 3*a**5 + 0*a**5 - 5*a**5 + (2*a**3 + 2*a**4 - 2*a**3)*(2*a - a + a) + 6*a**5 - 3*a**5 - 2*a**4 - 4*a**5.\nAnswer: -2*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42\/473 + 4\/43. Put z, -0.3, 53, -2\/3 in decreasing order.\nAnswer: 53, z, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 11*b - 11*b - 3*b**2)*(3 - 11 - 2)*(2*b**2 - b**2 - 2*b**2) to the form q*b**2 + m + c*b + x*b**4 + v*b**3 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 p(o) be the third derivative of o**2 - 1\/60*o**6 + 0*o + 0*o**3 + 0*o**5 + 1\/24*o**4 + 0. Find the second derivative of p(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-33)\/z*z*z*((z\/z**(2\/59)*z)\/z)\/z*(z*z\/(z**(-2\/7)\/z))\/z**(-6) assuming z is positive.\nAnswer: z**(-9395\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(68)*-5 + sqrt(68)))\/sqrt(4).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (28 + 3485\/(-123))\/(1\/((-12)\/22))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/105)\/((-12)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 6 (c) 0 (d) -2\/11 (e) -207981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 85*r**2 - 127*r + 3644. Give s(42).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149217.\nAnswer: 3, 49739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 2484.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -1 + 0 + 4 + 4)*-6*2.\nAnswer: -24*sqrt(19) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**4 - 6 - 2*b**2 - 2*b**4 + 2*b**2 wrt b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202183 or 202944?\nAnswer: 202183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -112, -1, 3 in ascending order.\nAnswer: -112, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3, 0.4, 65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 604 = -2*o, o - 3*h = 312. Suppose -o = -7*w - 10*w. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Suppose -i - 16 = -3*i. Suppose -i*o + 9 = -7. Solve -o + 4 = j*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s. Suppose -2*p + 46030 = 5*u - s*p, -2*u + 18423 = 3*p. Find the common denominator of -1\/16 and 3\/7 - u\/504.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657678979.\nAnswer: 6089, 108011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r**4 + 131*r**3 - 2*r**2 + 114*r + 260.\nAnswer: -108*r**2 + 786*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 + 7*v - 4. Let o be z(6). Let r = -14 + 19. Let h = r + o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {s: 1, y: 7, p: 1, l: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*x**3 + 3*x - 2*x**4 + 2*x + 21*x**3 - 39*x**3 to t*x**4 + u*x**2 + f + g*x + d*x**3 and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y + 18. What is the lowest common multiple of 10 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 0*r**2 - r**2 + (4*r + 0*r - 6*r)*(3*r + 0*r - r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79828.62t to kilograms.\nAnswer: 79828620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75339\/4 - -18824. Which is smaller: -0.6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 40*v - 32 - 27 - 16 + 127.\nAnswer: 40*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/17 + 12*c**4 + 422*c**3\/17 - 624*c**2\/17 = 0. Calculate c.\nAnswer: -3, 0, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 + 38*a + 72 = 0.\nAnswer: -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, g: 4, m: 5}. Give prob of picking 2 e and 1 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20767 take away 937050?\nAnswer: -957817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-233 - 17*j + 233)*(-1 + 0 + 3)*(j - 2*j - 2*j) to r + k*j**2 + x*j and give k.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59e3 - -15?\nAnswer: 59f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4\/17 - 42*r**3\/17 + 132*r**2\/17 - 152*r\/17 + 48\/17 = 0.\nAnswer: 1\/2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 597*z**3 - 44*z**3 + z**4 + z - 266*z**3 to the form u*z + i*z**3 + x*z**2 + p + v*z**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 137, 222, 323, 446?\n\"Answer: i**3 - i**2 + 71*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 - 44*x**2 + 10*x - 4. Let b be r(-15). Let w = 19 - 16. Suppose -62 = w*m - b. Solve m*k - 3 + 0 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*i*u - 657*i wrt u?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21882695 - -1.3\nAnswer: -21882693.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212608 and 419584?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -262, -381, -498, -613, -726?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 10) to base 7\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503245437 to the power of 1\/2, to the nearest integer?\nAnswer: 50032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v - v + m, -4*m - 6 = 2*v. Let b = v + 6. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-28)*-7)\/((-6)\/2)*81.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -80 + 2 + 54.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*c + c**2 - 36*c - 39*c + 207 - 48*c in the form k + v*c + l*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2757 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 161951474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6036*v**3 - 22503*v**3 + 60*v**3.\nAnswer: -28479*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 4*h**2 - 2*h**2)*(-2*h + 2 - 2) + h**3 - 6*h + 6*h to the form i*h + x*h**3 + t + q*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**6\/135 - s**5\/18 + 4*s**4\/27 - 4*s**3\/27 + 2*s. Suppose u(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4561441 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9939228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let w be -3 + -4 + 4 + 2\/(-1). Let l be 3\/w + (-4)\/(-8). Which is the nearest to q? (a) -0.4 (b) l (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -64. Suppose u + p = 3*b, 6*b + 4*u = b - 16. Suppose -2*o + 10 = f, -3*o + b*o + 22 = 5*f. Solve 3*l = -v - 18, -f*l - 3*l = -4*v + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 13\/7, 0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 + 170*s**3\/3 + 2*s**2 - 374*s + 723. What is the second derivative of g(n) wrt n?\nAnswer: 6*n + 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - o**2 + o - 1. Let m(l) = 3*l**3 + 10*l**2 + 5*l - 3. Let y(j) = -m(j) - 4*t(j). Let q be y(7). Which is greater: -8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -311, -273, -213, -131, -27, 99?\n\"Answer: 11*c**2 + 5*c - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*161\/28*(-32)\/16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8 - 3*q - 2*q**2 - 2*q. Let k be h(-6). What is the third derivative of -m**2 + m**2 + m**5 + k*m**2 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let a(q) = -q**3 - q**2 - q + 2. Let w be a(0). What is the third derivative of -2*z**2 + w*z**3 + n*z**3 + z**3 + 3*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 15, -11, -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*l - 116, -2*o + 3*l - 198 = -5*o. Let m = o + -32. 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: Expand (1 - 12 - j**4 - j**4)*(1 + j - 1).\nAnswer: -2*j**5 - 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.706693 days to hours.\nAnswer: 88.960632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 192. Let d(g) = g. Let v be d(3). Suppose v + y = k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 4.97. What is the nearest to -1\/2 in 0.1, t, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -260, -263?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30 + -27)\/((-3)\/5 + (-45)\/50). Let j = 471 - 262. What is the highest common factor of j and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.561438397 to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15205 by 3041.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 1)\/(-9)*618. Let a = u + 210. Let p = 9 - 5. Solve -4*c = -4*q - p, -19 = c - q + a*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 102112?\nAnswer: -5\/102112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6693*q - 185607. Determine g(-28).\nAnswer: 1797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1 (c) 42 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose -v - 5*f + 25 = v, 2*v + 3*f - 19 = 0. Suppose n = -s*h - 0*n + v, -4*h + 2*n + 14 = 0. Solve 0*l = -4*x - 2*l - 2, h*x - l = -9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21169, 84589, 190293, 338281, 528553, 761109, 1035949?\n\"Answer: 21142*d**2 - 6*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(12)*-1 + -5 + -4 + -5)**2.\nAnswer: 52*sqrt(3) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11080 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-25) + (-14)\/5. Let k be p\/11 + (-158)\/(-1474). Let r = 2017\/804 - k. Calculate the common denominator of r and 25\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18368, 4\/43, 1?\nAnswer: 18368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*y + 116*y - 235*y)*(2*y - 3*y - 3*y + y - 2 + 2 + (-y + 0*y + 2*y)*(-5 + 3 + 4) + 0*y - 5*y + 4*y) - y**2 + 0*y + 0*y.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 33. Let v(y) = -y**3 - y**2. Let j(h) = 4*h**3 + 11*h**2 + 7*h - 3. Let w(a) = -j(a) - 3*v(a). What is the remainder when w(-7) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 2, j: 3, b: 3, c: 3, e: 3}. Give prob of picking 2 m, 1 b, and 1 n.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*m - 3 + 24 = 0, -5*m + 30 = 5*o. Let z be (-3814)\/(-44) + (-2 - 20\/(-11)). Let x = -85 + z. Sort 0.3, x, o.\nAnswer: 0.3, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.052? (a) -3 (b) 2 (c) 1 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238086307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208676 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 5, g: 2, o: 4, h: 7}. What is prob of sequence goch?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -5, 1, 3826 in increasing order.\nAnswer: -5, 2\/15, 1, 3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18130, -18129, -18128, -18127, -18126, -18125?\nAnswer: -18124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 921, 3046, 7187, 14022, 24229, 38486, 57471?\nAnswer: 81862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 + -280. What is the closest to a in 4\/3, -2, 3\/13?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 124*w**2 + 2 - 136*w**2 - 9*w**3 wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -11120221?\nAnswer: 8\/11120221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:35 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Let i = 4 - g. Solve 0*a - 2*a = -i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -132. Solve u*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**4 + 1. Let n(p) = -35*p**4 + p**3 + 19*p**2 - 2*p - 2. Let a(g) = -2*l(g) - n(g). Find the third derivative of a(s) wrt s.\nAnswer: 888*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -53. Let g = o - 56. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 3*p**4 + 0*p**4 - 2*p**4 + 3*p**2 - 3*p**2 + (-4*p + 4*p + p)*(-4*p**3 + 0*p**3 + 2*p**3) + 14*p**3 - p**4 - 49 + 49.\nAnswer: -6*p**4 + 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 145*q - 38*q - 3*q**2.\nAnswer: -3*q**2 + 123*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145173746581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2918 + 2919. Which is the third smallest value? (a) -5 (b) 3 (c) s (d) -1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-4 + 2)) + 4 + 8 + -7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (4 - 3)) + -2 + (-16 + 69 - 52).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfffffffqf. Give prob of sequence qf.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64802*k**5 + 66318*k wrt k?\nAnswer: 1296040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m**2 + 197*m + 106. Let c be b(25). Which is smaller: c or 280\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12637\/19788 + 69\/388. What is the common denominator of p and -43\/14?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by -203.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 413909 * -674.\nAnswer: -278974666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153627665 is divided by 29848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13\/(-4) - -3)*-20. Factor -1\/2*z**h + 0*z - 3*z**3 - z**2 + 0 - 9\/4*z**4.\nAnswer: -z**2*(z + 2)**2*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108, 308, 510, 714?\n\"Answer: c**2 + 197*c - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 13 - 13 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/470 and 57\/329434?\nAnswer: 77416990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1080?\nAnswer: 5400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68449 + 191562. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 79 and -134121.\nAnswer: -10595559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 12*z**2 + 10*z - 91. Let y be g(13). Let f be 1 - -3 - y\/(-45)*1. Factor 14\/9*j**2 - 4\/9*j - 2*j**3 + 0 - 2\/9*j**5 + f*j**4.\nAnswer: -2*j*(j - 2)*(j - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001069511 rounded to 7 dps?\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 49, 78, 107, 136?\n\"Answer: 29*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8001)\/(-1778)*(-20)\/9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13*q + 37. Let r be w(0). Suppose r*b - 3531 - 31508 = 0. List the prime factors of b.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let v(c) be the third derivative of 181*c**5\/60 - 13*c**2. Calculate v(x(d)).\nAnswer: 724*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6342*s - 2899. Let d(w) = 6333*w + 2895. Let t(r) = -2*d(r) - 3*l(r). Differentiate t(q) wrt q.\nAnswer: 6360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 1*sqrt(70)*-5)\/(-1*sqrt(10)*2) + -2 - (2*sqrt(784))\/(4*sqrt(343) - sqrt(343)).\nAnswer: -2 + 34*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:40 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4698 = -315*c + 65*c + 5802. What is the least common multiple of 2508 and c?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3464 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 67985040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -4*u - 3*b, b = 4*u - 6. Suppose -3*l + u = -2*l. Suppose 3 = -l*o + 1. Sort -5, 2, o.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - 321\/(-12). Suppose -29*h = -b*h - 16. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9057908 divided by -19?\nAnswer: -476732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*r + i + 53, -r - 3*i + 2 = 0. Suppose 6 + r = 5*n. Sort n, 0.3, 1, 2.\nAnswer: 0.3, 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + 4*sqrt(10)*6)\/sqrt(5).\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.658 (b) -3 (c) 320 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {q: 2, a: 3, y: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 33. Suppose c - 12 = -3*x, -2*x = -p*c + 7*c + 48. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = j - 10, -2*w - 7 = -3*j. Suppose 0 = 4*m + j*m - 9. Solve 0 = 4*q - 3*h + 3, -1 - m = -3*q - 2*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*z - 17, 0 = 5*m + 21*z - 22*z - 36. Let d(r) = -2*r**3 - r**2 + 3*r - 3. Let s(l) = -5*l**3 - 3*l**2 + 7*l - 7. Give m*d(h) - 3*s(h).\nAnswer: h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 2*s**3\/3 + 3*s**2\/2 + 27*s. Let i(p) = -p - 1. Give 6*i(w) + 2*r(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8 and -39\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -350*(-24 - (-4355)\/182).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i + 68*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-4)\/12*-15. Let o(s) = s**3 - s**2 - 4*s - 4. Let f be o(i). Solve 4*v + 21 = -3*g - 5, -19 = f*g + 3*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-2))\/(2\/(-4)). Let k be -3 + 2\/(4\/b). What is the second derivative of 0 + 5*m**k - 2*m + 0 wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 19. What is the least common multiple of 46 and (-21)\/a + (18 - -3)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 30 + 120. Let j be (4\/(-6) + 0)*s. Suppose -l + j = -4*r, 3*l = 9*r - 4*r + 15. Solve -k + l = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-58) + (-57685)\/544185?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**5\/4 + 7*t**4\/2 + 67*t**3\/2 - 33*t - 5. Find the second derivative of q(g) wrt g.\nAnswer: -30*g + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k. Let i be x(2). Suppose 4*h - 26 = -i. Suppose -h*p + 9 + 31 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.76 - -1.71. Let q = 0.03 + 3.97. Let i = q - 3.6. What is the smallest value in 0.1, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 3)*(2 + 2 + 2)*(-2*z + 2*z + 2*z).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1.63 (b) -0.1 (c) 2 (d) 16.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or -0.08?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -4, 4, 51405 in increasing order.\nAnswer: -18, -4, 3, 4, 51405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165399, -165188, -164831, -164322, -163655?\nAnswer: -162824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950705864 to the power of 1\/2, to the nearest integer?\nAnswer: 54320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z. Let q(g) = 29*g + 1. Let v(i) = -6*q(i) - 11*t(i). Let a be v(-5). Calculate the highest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -2*k + 66. Solve 5*h = k*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/63 and (-115)\/(-9)*(-9 - 51\/(-6))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3\/5 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20841 - 145889\/7. What is the biggest value in -1.83, -0.4, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 46802?\nAnswer: 187208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrz when three letters picked without replacement from {z: 4, y: 2, r: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/(-111))\/(5\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-67392)\/(-663))\/48)\/(4\/34)*11\/(-3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(637) + (1*sqrt(637)*2)**2 + 0 + 5 + (sqrt(520)\/sqrt(40) - sqrt(52)).\nAnswer: 6*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9*2*3. Suppose -p*h = -2*b - 0*b - 48, -96 = -4*h - 5*b. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -9, -3, 124189, 5 in descending order.\nAnswer: 124189, 5, -2, -3, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 * -5.32.\nAnswer: -361.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 6*c - 4*c + 4*n, -4*c - 16 = 3*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1358500 and 4500.\nAnswer: 12226500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.08 + -0.18. Let n = z + -4.9. Which is the closest to 1\/4? (a) -0.4 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 202 + 324. List the prime factors of x.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.13 + -7.57. Let f = 42 + m. Which is the nearest to 0? (a) f (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 4. Let k(v) = 3*v - 7. Suppose -5*x + 5*u = -50, -3*u - u = 2*x - 2. Let n(a) = x*h(a) - 4*k(a). Let p(d) = -10*d**2. Determine n(p(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -18.58.\nAnswer: 18.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 - 424 - (-31 - (-4 - -12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7677 - 3506. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 0.4. Let v = -2 + 3. Let c = 2 - v. What is the smallest value in 0.2, p, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*i + 105, -120 = i + i - 2*y. Let u = -34 - i. Suppose h - 7 = -k, 2*h - u = -6*k + k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/3)*d*d\/(d**(2\/15)\/d)*d*d\/(d**(-3)\/d)*d*d**(-2\/3))\/((d**6\/(d\/((d*d**1)\/d*d*d)))\/(d**0)**(-5\/6)) assuming d is positive.\nAnswer: d**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3673028370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*h + 22*h + 26*h + 25*h + 30*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -40*t + 51*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -24*(9\/(-4) - -1). Suppose 114 = 5*b + 3*h, -2*b = -6*h + 2*h - i. Suppose b*k + 450 = 26*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 20 - 12)*(-t + t - 2*t**3).\nAnswer: 54*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -523 smaller than -1568\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 982264 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5087671*q + 157717806. Calculate m(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x - 1315*x = -133067 - 8701 for x.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88178\/19 or -4641?\nAnswer: -4641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1123160 and 516.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765792 = -2*h - 0*h. Let l = -207104 + h. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.6, -4, -3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11120 (base 6) to base 9\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/899097 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwg when three letters picked without replacement from {g: 2, w: 4, z: 9, t: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 + 38*r**2 + 65*r - 1. Let h be b(-2). Solve 5*c + 5 = 5*y, h*c + 0*y = -5*y - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*d - 3 + 3 - 1 - 46*d to the form p + r*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 41 + 211. Let v(w) = -5*w + 66. Let r be v(k). Let p(y) = -y**2 - 2*y - 10. Let l(m) = 5*m**2 + 8*m + 41. Let i(b) = -2*l(b) - 9*p(b). Give i(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2703977297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1974 + 2*a**2 + 988 + 986.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -3, 0.5, -5\/67?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*w - 3*p + 16, w + 3*p - 8 = 0. Let l be (-1 + 3 - 3)\/(-1). Let f(g) = 19*g + 1. What is the smallest common multiple of f(l) and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5322 and 61\/224.\nAnswer: 596064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39371.\nAnswer: 39371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**7\/1470 - p**6\/420 - p**5\/420 + 7*p**2. Factor n(o).\nAnswer: -o**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by (-552)\/24*(-3 + (-1 - -2)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -131?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -8*z + 23. Suppose z*i = 774 - 4929. What is i rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/s**1)**(2\/21)\/((s*s\/(s*(s*s*s**(-5))\/s)*(s*((s**(-2)*s)\/s)\/s)\/s)\/(s**0)**(-4)) assuming s is positive.\nAnswer: s**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, w: 2, y: 3, s: 2, o: 2}. Give prob of picking 1 v and 1 s.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45414 by -18.\nAnswer: -2523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and ((-1125)\/(-60))\/((-6)\/(-8))*68.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -469 - -677. Suppose 85 = 2*w - 3*w. Let a = v + w. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 smaller than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 97?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 574, 1940, 4582, 8920?\n\"Answer: 70*j**3 + 8*j**2 - 4*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -92, -133, -170?\n\"Answer: 2*b**2 - 51*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v = 1731 + 2764. Suppose -23*k + v = 17. Solve 3*m = 3*y + k*m + 24, 12 = -y - 2*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/169420 and 137\/355782?\nAnswer: 3557820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 65 = -175 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 11*j = -j. Let o be (-10 + 1)*4\/(-6) - j. Solve 5*t = -16 + o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-33) - (-1 - -3). Let m = 0.52 - 0.12. Which is the second smallest value? (a) 1\/6 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssshsssmw. Give prob of sequence sms.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 580 - 635 = 0. Let m = f + -372. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216.999901 + 217. Round k to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 15*h - 91 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -326 - -391. Suppose 5*g + 8*m - b = 3*m, -93 = -5*g + 2*m. Solve -z - g = 3*p, 14 + 13 = -z - 5*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y - 148. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1542 + 1560. What is the greatest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*p**2 + 468*p**4 - 86*p**2 - 3*p - 467*p**4 - 4*p**3 as i*p**4 + k*p**3 + y + s*p + r*p**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -57, -11, 36\/11?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(88)*2)\/((sqrt(144)\/sqrt(4))\/(sqrt(72) - (sqrt(72)*1 + sqrt(72)) - sqrt(2))).\nAnswer: 140*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqqfqhfqrfyqnqrry. What is prob of picking 1 n and 1 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00618 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*v - 81092 = -451*v - 382*v - 79*v for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13386 - 17*x - 13389 + 66908 - 13381 - 13367 - 13385.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**3 + 3. Let c(v) = 21*v**3 - 7. Let j(y) = 2*c(y) + 5*q(y). What is the first derivative of j(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 18054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 142218 and 142232 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9*j**2 - 15*j**2 + j**2 + (-7*j + 28*j - 3*j)*(-2*j + 4*j + 0*j) as g*j**2 + m + q*j and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4597 + 5065. Calculate the greatest common divisor of t and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s**2 - 33*s**2 + 19*s**2 - 33*s**2 + 5*s**2.\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*3 + (-5 - -28). Let f(v) = -v**3 + 8*v**2 - 6*v - 6. Suppose a = 4 + 1. Let z be f(a). Calculate the greatest common divisor of z and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(112))**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6664 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 14094737 - 111177295 = -16951832. What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 493\/5. Let h = -1.4 + 0.4. What is the closest to i in 4, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. What is the common denominator of -53\/10 and n + 0 - 99\/(-48)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046360324 to the power of 1\/2, to the nearest integer?\nAnswer: 32347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 - 1 + 4535510*x - 4544325*x to m + q*x and give q.\nAnswer: -8815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88101\/(-339352))\/(3\/(-8))?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w. Let c(z) be the first derivative of 5*z - 34. Let i(j) = -j + 6. Let l(r) = -5*c(r) + 4*i(r). Give l(g(h)).\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:25 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574423829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcduudbbcddbd. What is prob of picking 1 b and 1 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 2.56342\nAnswer: 2.66342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 129948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 21*i + 87. What is z(-11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206*-9.12.\nAnswer: -1878.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*g**4 + 43*g**2 + 4*g**2 + 35*g**2 - 29*g**4 + 88*g wrt g?\nAnswer: 12*g**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 822608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1344 and -143\/34314.\nAnswer: 1098048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 106528193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2348274 - 0.65.\nAnswer: 2348273.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 2*x**2 + 5 - 5 in the form p*x**2 + s*x + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 72\/468 - (370\/(-130) + 0 + -1). Which is the nearest to 6? (a) h (b) -21 (c) 1 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 7237*c**2 - 4*c - c - 18472*c**2.\nAnswer: -25709*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2)*w)\/w)\/w)**(-2\/83))**(-3) assuming w is positive.\nAnswer: w**(-18\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 37. Let d(o) = -o**2 - 8*o - 9. Let s be d(-6). Let f be (-24)\/(-14) + (-2)\/(-7). Sort f, a, s in ascending order.\nAnswer: a, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(425)*-2 + (sqrt(272) + -1 - sqrt(17)))**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o. Suppose -2*w - 4*r = -0*r - 10, -2*w - 2*r = -10. Suppose -1 = -4*c + 3*l, w*c = 2*l + 2*l. Let g(x) = -x + 0*x + 4*x - c*x. What is h(g(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose -12*u = -54 + 6. Suppose v*f = u*c + 1028, 5*c - 442 = -3*f + 361. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:11 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -a + 2*i, -20*a - 6 = -24*a + 2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5 + 174698*k**2 - 174703*k**2 + 5. Let u(n) = -7*n**2 + 7. Let z(r) = 3*r**2 - 4. Let m(p) = 4*u(p) + 7*z(p). Calculate m(l(w)).\nAnswer: -175*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07458 - 2059230297.\nAnswer: -2059230296.92542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26914199, 26914202, 26914205?\n\"Answer: 3*c + 26914196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-282)\/(-72) - 4)*-4. Let d = -4 + 3. Let o = d + 0. What is the closest to 1 in 2\/3, o, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 357*d - 360*d. Calculate the remainder when 44 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*g - 323564, 2*u + 121480 = 2*g - 7936. Let c = u + 190711. What is c rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 7 = 27. Factor -1630 - 10*k**2 - 14*k + 1626 + 4*k**d.\nAnswer: -2*(k + 2)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67060300 a multiple of 1340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 916, 1763, 2616, 3475, 4340, 5211?\n\"Answer: 3*n**2 + 838*n + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-825))\/(4\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8586 and 6.\nAnswer: 8586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 1. Let o be s(-2). Let d(b) = -b**3 - 8*b**2 - 7*b + 1. What is d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77195291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -121 - 19. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.7 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (367*b**2 + 299*b**2 - 142*b**2 + 985*b**2 - 205*b**2)*(0 - 4 + 0 + (-4 + 2 + 0)*(-6 + 2 + 3) - 2 + 3 + 2 + 0 + 4 - 3) to o*b + l + p*b**2 and give p.\nAnswer: 2608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 22*c + 963. Let o be f(-43). Let z(h) = 1 - 7*h - 8*h - 17 + 18*h**2 - h**3. What is the lowest common multiple of 60 and z(o)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.58 and 560?\nAnswer: 9284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20304125*x - 20304125*x - 5*x**2 - 2*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.607518 decades in months?\nAnswer: 552.90216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24776 and 74328.\nAnswer: 74328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2, -19\/9, 0, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let g = r + 1.2. Let u = 0.80009 + g. What is u rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -495*d + 492*d + 2, 3*h - 37 = 4*d for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, n: 4, h: 3}. What is prob of sequence hnhh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2686492888 and 9742?\nAnswer: 9742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -148, -158, -170, -184, -200, -218, -238?\n\"Answer: -a**2 - 7*a - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 - 727*j**3 - 597*j**3 + 4*j**2 - j + 1323*j**3. Calculate f(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534964 is divided by 59440.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 267364 (base 9) to base 5\nAnswer: 20202433","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054981 to 6 decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129447, -259013, -388579, -518145, -647711, -777277?\nAnswer: -906843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txt when three letters picked without replacement from ttxexexttexxttxctxte.\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 4 - (-187)\/(-5). Let c = -41 - a. What is the nearest to 3 in 1\/2, 2\/9, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + a4ae?\nAnswer: a4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*a + 3, -a = -3*r + 204 - 206 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 693*h + 166. Is v(55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + -86. Suppose 2*o + 2*n - 36 = -3*n, n = 4*o - 50. Suppose -p = -b + o. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1548 = 6*y - 1014. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)*l**(-2\/33)*(l\/(l\/(l**(-1\/5)*l*l)))**49)**(-1\/23) assuming l is positive.\nAnswer: l**(-29053\/7590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + (sqrt(209)\/(sqrt(11) + sqrt(33)\/sqrt(3)))**2) + 1.\nAnswer: 4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/20 - t**4\/12 - t**3\/6 - 9*t**2\/2 - 6*t. Let j = -12 + 17. Suppose -4 = j*y - i, 3*y + 2*i = -2*y + 8. Determine w(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4162?\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -3 (c) -93 (d) 1\/3 (e) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 495\/2, 0, 3, -8.98?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/70*w**7 + 0 + 1\/12*w**4 - 1\/120*w**6 - 1\/20*w**5 - 1\/336*w**8 - 8*w**2 + 0*w**3 + 0*w. Let s(t) = 0. What is t?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u - 10. Let k be p(4). Suppose -k*a = -14*a - 160. Calculate the greatest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 1 - l)*(-10*l**3 + l**3 + 3*l**2 + 27*l**3).\nAnswer: -36*l**4 + 12*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*o**2*t**4 - l**3*o*t**2 - 2*l**2*t**2 - 92*l*o**3*t**4 - 2*l*o**3*t**2 + 44*t wrt t.\nAnswer: 24*l**3*o**2*t - 2208*l*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 4*y**2 + 0*y**2 + (2*y - 1 + 1)*(1 - 2*y - 1) - y + y - y**2 - 3*y**2 + 3*y**2 + 2*y**2 + y**2 + 3*y**2 - 6*y**2 + 39*y**2 + 37*y**2 - 28*y**2.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/30 - w**5\/6 + w**4\/4 - w**2. Factor i(p).\nAnswer: -2*p*(p + 3)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 12) to base 7\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.818 - -0.182. Which is the second biggest value? (a) d (b) -2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15210\/(-65))\/(-18))\/(1\/(-8)*2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -115, -268, -493, -796, -1183?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -0.033 (b) -2 (c) -1\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -61. Let z = -673.48 - -692. Let j = z - l. Round j to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) 6249 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4500457920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10001110 (base 2) to base 5\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 2*w + 3. Let d(s) = -103*s**2 + 8*s - 12. Calculate -d(c) - 2*n(c).\nAnswer: 107*c**2 - 4*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 1595*d**3 + 1590*d**2 = 0.\nAnswer: 0, 1, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2961 and -8384 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = 5*o, 4*o + 0*o + 14 = 2*s. Suppose 3*u - s = 4. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3119*v + 3091*v + 3111*v - 12448*v + 3137*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)**45)**(-10)\/((o*o*(o\/(o\/(o**(1\/5)*o)))\/o)\/o*o**(-2\/21)*(o\/(o**1*o))**(1\/100)) assuming o is positive.\nAnswer: o**(-2299\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 1. Calculate l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brlslrbs. What is prob of sequence rbls?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3*(-3 - (-5 - -5)). Let v = -5 + 2. Is v > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27813 + -27829.673. Let j = 376 - 359.5. Let d = j + k. Round d to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 divided by 4?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11)*1)**2*-5.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 445455 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-21\/2)*b**3*b*b)**(-9))**(-37))**(-39) assuming b is positive.\nAnswer: b**(-428571\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 44, 65, 98, 143?\n\"Answer: 6*p**2 - 9*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, r: 10, a: 1}. Give prob of sequence ao.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/(-686))\/((-124)\/(-651)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ibb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -489, -5, 0, 5 in descending order.\nAnswer: 5, 0, -5, -30, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + v**3 + 5*v + v**3 - 9*v - 3*v**3 + 2. Let o be u(2). Let y(s) = 4*s**3 - 2*s**2 + 1. Is y(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -20. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.504 - 0.196. Let o = a - -10. What is the nearest to -0.1 in 2\/7, 2\/19, o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 376 and 109631\/292 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/15 + 32*t**4\/5 + 18*t**3 = 0. What is t?\nAnswer: -45, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 443*q - 40. Let d be (-28)\/(-154) + 48\/(-22). Let g(x) = -x**3 - x**2 - 2*x - 1. Let f be g(d). Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3933936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + l - 5*j + 65, 0 = 2*l - j - 29. Suppose -4*x - x = -l. What is the lowest common multiple of x and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -3*j, -j = 2*u - 5*u + 11. Solve 0 = -4*b + 5*r + 36, 0 = -5*b + u*r + 2 + 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 714?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -w - 1, -3*w - 7 = 3*o - o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2270\/3487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16627751 to the nearest integer?\nAnswer: 4078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*t + 3*t. Is t*4\/(-16)*-124 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96*t + 114*t - 30*t)*(4 - 3 - 4) - 5*t + 2*t + 0*t to the form f + a*t and give a.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*f + 27*f + 210. Let x be 5\/f - 150\/(-144). Determine h so that -x*h + 1\/4 - 7\/8*h**5 + 1\/4*h**4 - 1\/2*h**2 + 7\/4*h**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8748290039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-18))\/(-7)*(-17)\/((-340)\/(-225))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1198.6*-3.\nAnswer: -3595.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4329)\/(-74)*(-9)\/(-6)*64\/216?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 104 = -4*h, 3*h + 8*u = 3*u + 55. Let d = h + -1. Suppose 3*c = 2*i - 12, -i - d = -5*i - 5*c. What is the greatest common factor of i and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6421*d - 6483*d = 1116 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45329789?\nAnswer: 353, 128413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -4\/21*o**3 + 4\/7*o + 1\/7*o**2 + 22 - 1\/14*o**4. What is y in v(y) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:40 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -139 + 26 + 56\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 7) + -3*(1 - 2). What is the common denominator of -7\/4 and j\/(((-45)\/(-10))\/((-7)\/2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 8. Let z(a) = 2*a + 9. Let y be z(-7). Let v be (y - -4) + (1 - -4). Let b be (-3)\/v*(11 - 3). Give x(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r = 5*q + 44*r - 690, -q = 4*r - 162. Sort -0.1, q, -4\/9.\nAnswer: -4\/9, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -h, h - 3*v - 12 = 12. Solve -8 = -2*n + 3*y, 0 = 3*y + h - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnnnvxnnnqnvv. Give prob of picking 1 n and 1 x.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 188. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-270) + (-2)\/12*-10958. Is 1826 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-125)*45\/(-36)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376 - 379 + 755 + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 45*x**3 - 44*x**3 + 5*x + x + 1. List the prime factors of f(6).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 11*n = -3. Solve -3*v + n = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*o - 13*o - 38*o**4 - 2*o**2 - 14*o - 17*o - o**3 in the form a*o + d*o**3 + p*o**2 + j*o**4 + z and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 6*o**2 - 5*o + 1. Let k be w(5). Let p(l) = -2*l**3 + 2*l**2 - 4*l + 3. Let q be p(1). Let a be 6 + (q\/k - 2). Solve a*b - 6*b = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -0.0723\nAnswer: -0.0277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16783 and 1930.\nAnswer: 1930.16783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1313b0 (base 16) to base 2\nAnswer: -100110001001110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 14*n**2 - 5*n. Is i(-9) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*k - 28, 3*k - 8*k + m = -35. Let p(a) = a**2 - 16*a + 69. Calculate the remainder when (-2)\/k - (-177)\/7 is divided by p(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3 + (0 - -1) + -3 + (200 - 194)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + i - 216 = 246, 2*r - 2*i - 236 = 0. What is the remainder when r is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -6*o - 16. Suppose -45 = -o*q - 59. Which is the smallest value? (a) q (b) -1\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.5, 8469, -10 in increasing order.\nAnswer: -10, -0.5, 14, 8469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1995, -1997, -2001, -2007, -2015?\n\"Answer: -c**2 + c - 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680817046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3 + 7. Suppose -5*b + 3*d = -48, 2*d + 0*d + 16 = 2*b. Suppose -n*l - l + b = 0. Solve 4*f + 5*y = -0*y - 27, -27 = 5*f + l*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 20*b**2 + 6*b - 40. List the prime factors of t(10).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44056616*c**2*d**3 + 9359*c**2*d**2 + 8739*c*d**2 - d**4 - d**3 wrt d?\nAnswer: 264339696*c**2 - 24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (121\/110 - (-3)\/(-5))*8. Let r = -11 - -1. Let p = 22 + r. Solve b*w + 0*w + p = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7 = 1. Let s(h) be the second derivative of h**4\/4 - 3*h**2 - h. Let k(i) = -7*i**2 + 13. What is n*k(m) - 9*s(m)?\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11 = 3*a, 0 = 3*a - 4*a + 3. Let i = 31 + -43. Let k = i - -17. Which is greater: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 36 = -18. Let u be 3\/b*-6 + 3. Solve u*a + 0*g - 29 = -g, 0 = -a + 3*g - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 4*o**2 + 16*o - 7. Let f be h(-7). Let v be 2*-1 + 0 - 6. What is the tens digit of 2\/v - (-399)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(1\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 6512558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, -4, 5098.\nAnswer: -4, -3, 12, 5098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 19 - 5. Suppose -5*a + n = 4*d, -d = -4*a - 28 + 1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14752, -14759, -14768, -14779, -14792?\nAnswer: -14807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-69)\/6. Let k = 39 - 39. Suppose 0 = -5*w - k*v - 3*v + 28, 0 = 2*v - 2. Solve o = w*s - p + 2, 0 = -2*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -326*m - 127. Is d(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 215*(-1 - 27\/(-15)). Suppose 5*b - s - 273 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.033 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -904*p**3 - 11*p**2 - 1564. Let s(g) = -452*g**3 - 6*g**2 - 782. Let u(y) = -6*h(y) + 11*s(y). Differentiate u(d) wrt d.\nAnswer: 1356*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 982*h - 989*h + 1970*h + 4.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 18. Suppose -4*l + r = 13. Put -2, l, 0 in descending order.\nAnswer: 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.21 (c) -1\/1206 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v. Suppose -u = 5*i - 9, 0 = -4*i + 11 + 1. Let q(a) = -a**2 - 6*a + 2. Let l be q(u). Let b be l\/2*(-4)\/4. Determine r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-125)\/(-1) + (-5 - -1) + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {q: 2, p: 5, e: 2, k: 1, a: 1, o: 6}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 48 = 2*x + 2*x, -y - 4*x = -2. Suppose 6*m = y*m - 16. Solve 0*q - m*k + 22 = -q, -16 = -2*q - 4*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 17164806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.74 + 561.74. Let h = x - 561.0343. What is h rounded to 3 decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-308)\/(-8) - 1)\/(27\/36). Let h(g) = g**3 - 50*g**2 + 12*g + 162. Is h(f) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3538021 and -6089.\nAnswer: -6089.3538021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/15 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5)\/n**(-4))\/((n*n**(-1\/4))\/n)**(-16\/5) assuming n is positive.\nAnswer: n**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**3 - 2 + 2)*(2*t - 2*t + 3*t + 2*t - 3*t + 0*t + (0*t + 0*t + 2*t)*(-68 + 31 + 9)) to the form j*t**4 + s + y*t + f*t**2 + n*t**3 and give j.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.5, -200?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) + -1*sqrt(320))) + sqrt(320) - sqrt(320) - sqrt(320))\/sqrt(10) + 3*sqrt(128)\/sqrt(4).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n + 7. Does 4 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 119*o - 1766. Let w be p(-67). Sort -5, w, 2 in increasing order.\nAnswer: w, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 6)*(-4 + 4 - 2*a) - a + 4*a - 5*a + (3 - a - 3)*(-3 + 2 + 3) + (6 - 2 - 3)*(-2*a + 2 - 2))*(a + 4*a - 4*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000080197 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) -2\/7 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*y - 818*y - 152*y + 156*y + 107*y.\nAnswer: -505*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Let t = -6355 - -6360. Let q(c) be the third derivative of 26*c**2 + 0*c**3 + 0*c**4 - 1\/3*c**t + 0*c + 0. Calculate q(u(w)).\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 12. Let s be 4 - ((8 - n) + -2 + 3). Let c(t) = 4*t**2 + t - 2. Let r be c(s). Solve r = -3*b - 5*i, b - 5 = 2*b + 3*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1243*o**3 - 2494 wrt o.\nAnswer: 3729*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -17*f**5\/7 - 33305*f**4\/7 + 1931175*f**3\/7 - 36772315*f**2\/7 + 230718710*f\/7 + 3950784 = 0.\nAnswer: -2016, -2\/17, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2372 - -21344\/9. What is the closest to 0 in 0.1, b, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*a - 17 = 0, 0*f + 13 = -f + 3*a. Suppose -6*t + f*t = -172. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 4*f**4\/3 - f**2. Let r be g(1). Suppose -6*v + 4*b + r = -2*v, -5*v = b - 22. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 52 = 4*m, 4*m + 5*j + 2 = 45. Suppose -2*f = -0*f - 5*g - m, -3*f + 13 = -5*g. What is the tens digit of 23\/(f*(-1 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22\/19 - -280\/209. What is the fourth smallest value in w, -3, -4, -13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-7 - (-14 - (-11 + (-3 - -7))))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(-4)\/4*2. Let f = 45 + m. Put 12, f, 3, -4 in increasing order.\nAnswer: -4, 3, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 78 = 9*y, 24 = 2*y - s + 5 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/86 and -45\/2204.\nAnswer: 94772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 25. Let u be k(6). Suppose -u*j + 76 = -9. Let f = j - 11. Calculate the greatest common factor of f and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 13 + -9 + 4 - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 264*k - 1 - 230*k.\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/15)\/(-2 + (-34)\/(-18)). Suppose -70 + 304 = q*n. What is the greatest common divisor of n and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -32. Suppose -3*o - q*z - 1480 = -5*o, 5*o - 4*z - 3694 = 0. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.069 + 85.931. Let z = t + -106.5. Round z to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (211 + 139 + 205 - 352)*(5 - q - 5).\nAnswer: -203*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383\/5 + -77. Let j = 111.5 - 111.1. Let d = 14 - 10. What is the nearest to z in d, j, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1835865\/(-175) + 24\/30. Let z = -10471 - x. Which is smaller: z or 20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*sqrt(15)*1 - sqrt(135)*-5)\/(2*(sqrt(5) - sqrt(25)\/sqrt(80))))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1474 and 191080516.\nAnswer: 191080516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/11)\/(g**(1\/2)\/g))**(2\/73)\/((g*g**(-1\/2))**6\/(g*g**(-2\/25)*g*g**(2\/11)\/g)) assuming g is positive.\nAnswer: g**(-37981\/20075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -173*h**3 + h**2 - h. Let t be r(-1). Suppose t - 35 = 2*m. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271807747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6676, 13415, 20260, 27205, 34244, 41371?\n\"Answer: -k**3 + 59*k**2 + 6569*k + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 53 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1939 - -650.\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(4*sqrt(5)) - ((sqrt(17) - sqrt(1700)*-2) + sqrt(17)))**2.\nAnswer: 128673\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53794, -107361, -160928?\n\"Answer: -53567*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/47674759 and 133\/4510.\nAnswer: 476747590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 151.4. Which is greater: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19741.\nAnswer: 19, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 8*f - f)*(-5 + 0 + 6*f + 57*f + (-f + f + 2*f)*(-2 + 3 + 1)).\nAnswer: 402*f**2 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 131*v**2 + 83584*v + 3769. Give s(-638).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/4*(-418)\/1320. Let q = 2\/1199 + -3677\/47960. Let s = y + q. Which is smaller: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (-2*sqrt(63) - (sqrt(14)\/sqrt(2) + 2))) + -2)*6.\nAnswer: -84*sqrt(7) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19)*(j*j*j*j*j**(-6\/17))\/j assuming j is positive.\nAnswer: j**(-278\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 257*a**4\/6 + 8*a + 3. Let g(m) = -2*m**2. What is z(g(d))?\nAnswer: 2056*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 277*i + 276*i = 6, 8*z - 5*i = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -872 or -744?\nAnswer: -872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddtdtddtdzdtlzlddtd. Give prob of sequence ddzz.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnssqllqq. What is prob of sequence nls?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 2*k - 2. Let w(x) = -11*x**2 - 7. Calculate -5*m(o) + w(o).\nAnswer: -o**2 - 10*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 e when four letters picked without replacement from {e: 4, h: 3, r: 1, f: 5, u: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2628 and 7092?\nAnswer: 517716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/12 - ((-2585)\/(-540) - 72\/1944). Let a(r) = -2 + 9*r**2 + r**3 + 3 - 4*r**2 + 4*r. Give a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 855130.107 to the nearest 10000.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 27, -12, 3 in descending order.\nAnswer: 27, 3, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 + (10\/5 + 5 - -27) and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = -5*q + 5, -2*q = -g + 4. Suppose -w - 4*a = 0, 0 = -5*w + 4*a - a. Factor -2\/13*h**4 + g*h + 4\/13*h**2 - 2\/13*h**3 + w.\nAnswer: -2*h**2*(h - 1)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6209304 is divided by 2069754.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -69. Solve h - r*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - l + 127 = 2*x, -4*x = l - 102. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**7\/2520 + s**6\/80 - s**5\/60 - s**4\/6 + 2*s**3\/3 + 10*s. Let f(a) be the third derivative of r(a). What is f(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - j = -888. Is 2\/8 + (-6)\/j*31971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 4, p: 1, m: 7, c: 3, k: 1}. Give prob of picking 1 j, 1 w, and 1 m.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174715, -174705, -174733, -174817, -174975, -175225, -175585?\nAnswer: -176073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256*b*g**2*u + b*g**2 + 8*b*u**2 + 5553*g**2*u - 2*g*u**2 wrt b.\nAnswer: 256*g**2*u + g**2 + 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 - 3*t + 7. Let i be x(-3). Suppose -15*g + 164 = -i. Suppose 0 = -7*a + 6*a + g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t - 10. Let j(k) = -7*k + 5. Let g(x) = -5*j(x) - 3*w(x). Let m(h) = -h - 1. Let l be 1\/(-4) - 6\/8. Let v(n) = l*g(n) - 2*m(n). Determine v(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 32 + 3*b - 71.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 not equal to -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (6 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, -404.13, -0.4, -2\/13, -21, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 3*b + 1. Let u be s(-2). Let y be (-3 + 2 + 1)\/u. Solve -a + 6*a - 10 = y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/121 - ((-5588925)\/11)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29207, 58416, 87625, 116834?\n\"Answer: 29209*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -u - 11, -3*u = 4*l - 11 - 4. Does 23 divide l + 152 + 6\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6715602 (base 8) to base 12\nAnswer: -733056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five halves of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 11*j**2 + 49*j - 102. Let y(s) = -s**3 + 11*s**2 + 48*s - 89. Let x(a) = 4*b(a) - 5*y(a). Give x(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4023*3741.\nAnswer: -15050043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 911128 + 6*c**6 + c**4 - 911127 + 142*c**2 + 501*c**2 wrt c?\nAnswer: 720*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) - (sqrt(2673) + 2*sqrt(2673)*-5) - (2*sqrt(2673) + sqrt(2673))*-1)\/(2*sqrt(18)\/sqrt(6) - (sqrt(432) + sqrt(3))).\nAnswer: -117*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -18*k**2. Let d(p) = 63*p**2 + 49*p + 98. Let l(w) = -4*w**2 - 3*w - 6. Let v(h) = 6*d(h) + 98*l(h). Determine v(f(i)).\nAnswer: -4536*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 6 + 16 = -3*t, 10 = -2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 411460 and 129316.\nAnswer: 4526060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = -5*m - 4*r, 5*r + 34 = 3*m. Let n = 2.63 - -2.37. Which is the nearest to 1? (a) -2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2. Let y(h) = -394*h**2. What is y(t(d))?\nAnswer: -6304*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 + 6*q - 6. Let x be u(1). Solve 4*y - h - 8 = x, 1 = -3*y - 2*h + h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38368 - -a?\nAnswer: -3835e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 5*q - 7*q - 13, -5*h + 15 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f**2 - 9*f**2 + 15*f**2)*(f**2 + 0*f**2 - 2*f**2).\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+-4.131\nAnswer: -3.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 101001110101000101111?\nAnswer: -101001110101000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -436, -962, -1698, -2644, -3800?\nAnswer: -5166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s + 32*s = -40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2. Let h(x) = -30161641*x**2. Determine h(q(k)).\nAnswer: -271454769*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 12) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 63944.9937 microseconds?\nAnswer: 0.00000010572915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -399, -1285, -3007, -5847, -10087?\n\"Answer: -47*p**3 + 5*p**2 - 18*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-10))\/(-1))\/(-12*(-18)\/(-1800)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -306737\nAnswer: 28\/306737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-32))\/((-6)\/(-40)). Let u = -17\/12 - x. Find p, given that -u + 1\/2*p - 1\/4*p**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = y - 201935, -2*q + 85858 = -5*y + 5057. What is the lowest common multiple of 10 and q?\nAnswer: 201940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 + 828*d**2 - 239*d + 352. Give v(118).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/18)\/((-2060)\/(-3708))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -63116 (b) 1 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2053, 16156, 54225, 128176, 249925, 431388?\nAnswer: 684481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-32)*2)\/(3\/9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 144\/(-32)*(-4)\/6. Solve 2*n = 2*q + 2, -p*q + 2*q = 3*n - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*i**2 - 71508*h**3*i - 31*i**5 - 31622*i**2 + 2*i wrt i.\nAnswer: 2*h**3 - 620*i**3 - 63244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2491 and 5973259.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6043341?\nAnswer: 3, 907, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let k be s(2). Suppose m + 0*m + 3*b = -19, 0 = b + 3. Let h = -5 - m. Put -1, h, k in increasing order.\nAnswer: -1, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4888, -4889, -4890, -4891, -4892, -4893?\n\"Answer: -d - 4887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1211*c + 851*c - 4 + 612*c + 2 + 876*c to the form f*c + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 295802909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 839\nAnswer: -11\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/2 - 37\/4. Let f be 6 - (6 - (-21)\/14). Let l = -0.2 + 0.3. What is the closest to p in f, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -0.14.\nAnswer: -12.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106\/3 - 433\/12. Let u = 0.029 + -0.429. What is the nearest to u in f, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 + 5. What is k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99336805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*j = j + 20, 0 = 2*j. What is the least common multiple of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -8 (b) 2\/7 (c) -2 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -197.2 (b) -4 (c) -3 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*l + 17055 = 1387*l - 7296 - 11113 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 131641?\nAnswer: 131640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28911215*c + 233870. Let d(i) = -19287*i - 156. Give -8995*d(s) - 6*q(s).\nAnswer: 19275*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154954 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 p = 1984 + -1806. What is the greatest common factor of p and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 0*z**2 + 12*z - z**2 - 10*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/5)\/(i\/(i**(-4)*i))*i**(-1\/2)*i**(-4))**(5\/8))**10 assuming i is positive.\nAnswer: i**(-395\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4381.3, 1\/3, -0.2.\nAnswer: -3, -0.2, 0, 1\/3, 4381.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 86, 75, 50, 5, -66, -169, -310, -495?\n\"Answer: -g**3 - g**2 - g + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4770*s**2 + 2184*s**2 + 1940*s**2)*(-11*s + 7*s - 2*s) + 0*s**3 - 3*s**3 + 2*s**3.\nAnswer: 3875*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5390 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1860 and 5763396.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 154*n**5 + 116*n**2 + 136*n**2 + 70*n**3 - 22*n**2 - 78*n**5 - 146*n - 226*n**4 - 4 = 0.\nAnswer: -1, -1\/38, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6836731 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 - 27) + -27 + 1. Is -6\/11 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2223359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 2*h - 3*h)*(-6*h + 4*h + 6*h) + (3*h + h**2 - 3*h)*(3 + 1 - 2) + 191278 - 191278 - 7323*h**2 as l*h + u + y*h**2 and give y.\nAnswer: -7313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**3 - 51\/5*b**5 - 42 + 19*b**2 + 0*b**4 + 0*b. Find the second derivative of i(d) wrt d.\nAnswer: -612*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*r + r. Let l be (25\/r)\/((-1)\/12). Let f = -21 - l. Let w(h) = -5*h**2 - h - 1. What is w(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/6, 1\/40, 0?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.81060366142 - 2679306.58998633858. Let j = 2679321 + a. Let x = j - 11.6. Round x to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15 = -5. Let i be (3 + 1)*k\/2. Let f = 42 + i. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2948\/335)\/((34\/(-170))\/(1\/2))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(324)\/(sqrt(12) + sqrt(48)\/(2*sqrt(4))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 21*r**2 + 3*r + 2. Let s be f(-4). Let l be 2\/(-9) - s\/(-9). Let g be (-6)\/(-3) - l\/19. Which is the nearest to 0? (a) 2 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**7\/231 + o**6\/165 - o**5\/110 - o**4\/66 - 15*o. Factor x(g).\nAnswer: 2*g**2*(g - 1)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19012, -19002, -18988, -18970, -18948, -18922?\nAnswer: -18892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7434 times -1566?\nAnswer: 11641644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9995*l + 21*l**2 - 9995*l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 18651.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 133*j + 1526. Give r(-78).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -226\/1446503 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198061820 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13420967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (70 + -32 - -132 - (5 + 21)).\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/8 - (-518)\/(-112)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 19*c**2 + 3*c - 16. Determine u(-19).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -1) + (28 - 22 - (-2 + 10) - -4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5438207.\nAnswer: 59, 92173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 65*p - 80. Calculate t(-28).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -27 - 121617*w**2 + w**3 - 121619*w**2 + 243252*w**2 + 12*w. Calculate k(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10404 + 1042?\nAnswer: 11446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(6)\/(sqrt(2)*2)) + 3.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3862184 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160353 - 21?\nAnswer: 160332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/34)\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1157\/4 + 291. Let r = -2.96405 - 0.03595. Which is the nearest to 2\/7? (a) 3 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/390 and 119\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 41. Let o(r) = r - 8. Let u(v) = -4*f(v) + 22*o(v). Let y be u(8). Suppose y*i + i = 35. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11549?\nAnswer: 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 + 32*n**2 - 26*n - 20. Let h(u) = u**3 - 11*u**2 + 9*u + 7. Let a(k) = 11*h(k) + 4*m(k). What is a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5133\/482 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52404 and 47597.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2368*u**2 + 10*u + 46. Is w(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168191 is divided by 5794.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 10*g - 12. Let a be i(9). What is the second derivative of 8*k**3 - 60 + a - 7*k wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2959\/40? (a) -5\/6 (b) -5 (c) 5 (d) -1\/268 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - w - 2 = 0, 19*o = 20*o + 4*w - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6540, 6539, 6542, 6549?\nAnswer: 6560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238628328 and 688?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -57551096.\nAnswer: -3\/57551096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18 + 0 = 0. Let p be (-4)\/x*(-1 - -4). Suppose -105 = 108*z - 129*z. Solve 5*y + p*f - 21 = 0, 9 - 39 = -5*y - z*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 2942.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -1972, -4459, -7946, -12433?\nAnswer: -17920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53195.\nAnswer: 5, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/7)\/b)**(-19))**(-13\/4)\/((b**1*b*b**(-1\/11)*b*b)\/(b*b**(-5)*b**(-3))) assuming b is positive.\nAnswer: b**(-6274\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.046167678 to 2 dps.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcggvggggcvggggvgg. Give prob of picking 1 v and 2 g.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5207072 by -12517.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 10*l - 6310 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 414\/63 + (-3)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*(100\/(-16) - -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*c**3*l**3*w**2 - 3*c**3*l**2*w + 2*c**2*l**3 - 2*c**2*l**2*w - 2*c**2*w**3 wrt w.\nAnswer: -134*c**3*l**3 - 12*c**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2\/2 + 6*c - 8. Let n be t(-4). What is the greatest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35761)\/(-99) - (3 - 25\/9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((20 - 1) + (49 - 43)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(45) + (-2*sqrt(405) - sqrt(405)) + sqrt(405))\/(sqrt(9) + (sqrt(9) - sqrt(729)*-4)).\nAnswer: 15*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 1 = 0. Let l = -1 - -8. Let u = l - 7. What is the nearest to u in m, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by 3407?\nAnswer: 417\/3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -2.1, 1, 2\/11, 5, -1652.\nAnswer: -1652, -57, -2.1, 2\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.2. Let t(f) = f**2 - 16*f + 12. Let y be t(15). Sort -2, y, k.\nAnswer: y, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.11059792 to two dps.\nAnswer: -83.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -3\/5, 7\/4, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 45*d - 2150. Let w be z(31). Is -755 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 25*p**2 + 2*p + 1. Let a(s) = -s - 3. Let h be a(-4). Suppose h = -5*m + 4*m. List the prime factors of y(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(637) + (sqrt(637) - 1*sqrt(637)*-1) + sqrt(637) + 3 + -2*sqrt(637))**2.\nAnswer: 84*sqrt(13) + 2562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s - 9*s + 6324 - 6324. Let p(j) = 22*j. Calculate b(p(a)).\nAnswer: -396*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 2*s**2 - 46 - s.\nAnswer: 2*s**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4179, -8665, -13161, -17673, -22207, -26769, -31365, -36001?\nAnswer: -40683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90829 is divided by 30271?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 18*c + 984 + 316. Solve -47*h + c*h = -25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -151 - (11 + 30 + -77)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 2*l**2 - 6*l - 10. Let t be k(-2). Suppose 3*p = -t*n + 260 - 3, 5*n = -2*p + 153. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/((-2204)\/87))\/((-6)\/(-76)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 f when three letters picked without replacement from ffjffjffjffffff.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 + 3*w**2 - 4*w - 3 + 2*w + w**3. Let g be t(-3). Suppose 3*d - g = 1. Sort -4, d, -5 in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/60 + z**5\/20 + z**3 + 2*z. Let s(c) be the second derivative of d(c). What is the second derivative of s(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 22*y**2 - 123*y + 18. Calculate t(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-45))\/((-6)\/(-9))*5. Let x be (z\/8)\/(21\/(-36)). Determine o, given that x*o**2 + 16\/7*o - 6\/7*o**5 + 26\/7*o**4 - 34\/7*o**3 - 8\/7 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9842 is divided by 1965.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 - -8.6. Let r = 9 - c. Let o be (-18)\/24*32\/(-30). Sort o, r, -4 in ascending order.\nAnswer: -4, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (1 - 2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12622524449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h + 601040 = 144*h + 57*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 4*z**3 - z**3 + (-z + 3*z - 4*z)*(-2*z**2 + 0*z**2 + 3*z**2) - 63474*z**3 + 17432*z**3 + 13355*z**3 - 30881*z**3.\nAnswer: -63571*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2736 - -4785. Let j = -353 + 358. Suppose 5*b - 4*c = b + 1636, -j*b + m = -c. What is b rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = p - 14, -p + 4*y + 2 = 0. Calculate the lowest common multiple of p and 1310.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 144*o**5 - 113376*o**4 - 2038412*o**3 - 7657324*o**2 + 2724408*o - 231840 = 0.\nAnswer: -12, -6, 1\/6, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8\/30)\/((-414)\/27)*-5\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 10 = -0*r + 2*r, -3*u = -r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five eighths of a decade?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, b: 3, v: 2, j: 1}. Give prob of sequence jvhb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -346331, -346556, -346781, -347006, -347231?\n\"Answer: -225*w - 346106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0 + 1\/240*p**6 + 1\/840*p**7 - 4*p**2 + 0*p - 1\/96*p**4 - 1\/120*p**5 + 1\/24*p**3 - 1\/1344*p**8. Factor z(g).\nAnswer: -(g - 1)**3*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -9. Let o = 13 - u. Let x = -0.9 - 0.1. Which is the biggest value? (a) -1\/7 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*l + 136, -8*l + 12*l + 204 = 3*p. Let o = 44 - 40. What is the least common multiple of o and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 84467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:21 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*p - 45 = 0, -o + 5*p + 2 = -0*o. Let n = o - -18. Is 4 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 29. Is -5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:04 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3054 + -6103\/2. Let o(p) be the second derivative of -c*p**3 + 0 + 0*p**2 - 2*p. Let g(r) = -r**2. What is g(o(k))?\nAnswer: -225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from {n: 1, b: 1, k: 2, c: 5}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x**2 + x - 97. Is y(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130 - 13106?\nAnswer: -13236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -1025, -1538?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1840*l**3 + 161*l**2 + 161*l + 161. Let j = 5885 - 5887. Let s(y) = 23*y**3 + 2*y**2 + 2*y + 2. Determine j*f(v) + 161*s(v).\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 + 33*o + 30. Determine w(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 35100683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -135. Suppose 141 - i = 5*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + 16 + -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*u - 3*b + 50, -2*u = b + 7. Suppose 123 = -24*h - 8*h - 133. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171.463 - -0.537. Let r = 171.9693 - h. Round r to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 642 - 235. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 0. Suppose 2*u + 3*g - 19 - 9 = 0, -4*u + 72 = 2*g. Let b = u + -17. Solve -s + j*s - 13 = -b*q, 3*s = 2*q - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3750, 4527, 5304?\nAnswer: 6081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 less than or equal to -56338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*s - 5 = s, 2*w + s + 7 = 0. Let t = 11 - w. What is the remainder when 81 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122222 - -10?\nAnswer: 2200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 7.04. Let a be (2\/32*18)\/3. Let z = a + -1\/2. What is the smallest value in -1, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*a = -a + 640, -5*z - 5*a = -1600. Suppose 0 = 4*i + z - 920. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 511 + -112. Suppose -4*x + v - 103 = 0. Let j = x - 32. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6*u = -4, -3*u + 1 = 277*b - 279*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272072 is divided by 338.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41008, 81820, 122422, 162808, 202972, 242908, 282610, 322072?\n\"Answer: -c**3 - 99*c**2 + 41116*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1.1 (c) -0.01 (d) 9 (e) 358 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5028 is divided by 5001?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.0067174?\nAnswer: -0.0201522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (180\/(-20))\/((-48)\/((-16416)\/57))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -110. Suppose c*h - 47*h = 4070. Suppose -6*y - 5*y + h = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 5, h: 5}. What is prob of picking 1 f and 2 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p + 30. Let x be k(9). Suppose 0 = 2*c - 6, n + x*c + 5 = 15. What is the greatest common divisor of n and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 4*z + 11. Suppose -185 = -45*v + 8*v. Give t(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let n = y - 3. Factor -2*s**3 - 8*s**3 - 2*s**n - 2*s**2.\nAnswer: -2*s**2*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.198 + 0.198. Sort -3\/7, v, -1, -1\/10 in increasing order.\nAnswer: v, -1, -3\/7, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6733 less than -5034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1922*z + 331695 = 1987*z. Calculate the remainder when z is divided by 1700.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u = -27*u + 159941. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203579?\nAnswer: 203579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -28. Suppose s + 3 = 3*t, -t + g = -5*t - 4*s. What is t rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (-3*(sqrt(1300) + 4*2*sqrt(1300)) + (sqrt(1300) - (1 + sqrt(1300) + sqrt(1300))*1) + sqrt(1300)*2*-2)**2) + 1.\nAnswer: 640*sqrt(13) + 1331197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2)*(-1 - 2). Suppose y*a = -2*a - 490. Let g = 101 + a. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1284, 10272, 34680, 82218, 160596, 277524?\n\"Answer: 1285*x**3 - 7*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-44.04\nAnswer: 4.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7053 = -12*f + 6993 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - 0.4. Let r = 3 + -5. Let k = 845.47 - 845.07. Which is the smallest value? (a) r (b) k (c) j (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 13. Suppose 0 = -5*p - 4*w + 1, -d*w - 1 = p - 0*p. Are p and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:51 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 9 + -54 + 1 + 19.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 18*y - 110. Give f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 19*j**2 + 53*j + 10. What are the prime factors of s(-24)?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.5 (c) -3\/7 (d) -5\/6 (e) 0 (f) -129 (g) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 - 942\/5. Let o = 12 + -8. Which is the third smallest value? (a) t (b) 1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 10*p - 11. What is g(8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -39\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3853 - 3997 = 48*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*k**2 + 168*k**2 - 20 - 13*k**2 - 5 - 26*k**2 wrt k?\nAnswer: 518*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -31*j - 95. Let x be -4 - (-2*6 - j). Let h(l) = 3*l + 3. Let y(c) = -c**2 - 2*c - 2. Give x*y(m) + 2*h(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499874 is divided by 374961?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59571 + 59571 + 873*f**2)*(-31*f**2 + 19*f**3 + 31*f**2).\nAnswer: 16587*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 2*f**2 + f + 6. Let d = -1 + 0. What is r(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c**2 + 9*c - 6. What is w(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 + 3*a**2 - 1096*a - 3277. Calculate n(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 32112945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/8 + 3669*p\/8 + 76055\/4 = 0.\nAnswer: -41, 3710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - (-14161)\/63. Let g = -2023\/9 + u. Sort -5, 4, g in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(504)\/(sqrt(63)\/sqrt(7)))\/(sqrt(32)\/sqrt(4)*-4 + sqrt(8)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30030 and 50050?\nAnswer: 150150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3631*w + 1413*w + 4749*w as z*w + j and give z.\nAnswer: 9793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183765, 1469960, 4961025, 11759394, 22967501, 39687780, 63022665, 94074590?\nAnswer: 133945989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j + 6 = 0. Let i be 2*(10\/(-4) - 0). Let v = i + 7. Which is the second smallest value? (a) j (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-140))\/(19*(-18)\/(-6840))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(3 - 6 + 2) - 1 + 1 - 1)*(-1930*o**2 - 1217*o**5 + 1930*o**2).\nAnswer: 3651*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/476 - ((-1710)\/(-4947))\/(-5).\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -5 (c) -3 (d) 0.3 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 893869165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 7503.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 105. What is the remainder when 229 is divided by l(-85)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*v**3 - 11*o**3*v - 3586*o**3 - 222*o**2*v**2 + 289*o*v**3 + 2*v**2 wrt o?\nAnswer: -6*v**3 - 66*v - 21516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 126*g**2 - 1508*g - 145. Determine p(-137).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 3*q - 4*q + (0*q + 3*q - q)*(6 - 1 - 2) - 3516 - 3516 + 7030 - 472*q + 4*q - 2*q - 4*q.\nAnswer: -467*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < -5392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.8114 rounded to two dps?\nAnswer: -19.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 16*c - 6. Let i be (-5 - (-6 + 2))*4. Let m be q(i). What is the greatest common divisor of m and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80794 or -4282150\/53?\nAnswer: -80794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 604676 a multiple of 3700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 265 + 40. Let n be g\/27 + (-4)\/(-18). What is the first derivative of -o + o + 5 + 3*o + n wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 26\/5 (b) 0.4 (c) 838\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 39. Solve w + 2*c + 7 = m, -2*w - 15 = 3*w + 5*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 10. Let a be (32\/12 - 2)*(-33)\/(-2). Let c be w(a). What is the greatest common factor of c and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwqwgwwwwwwwgg. Give prob of sequence fggg.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88018.\nAnswer: 2, 7, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 29 = -c + 61, 0 = c - 3*v - 28. What is the highest common divisor of 824 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n + 67*n = -18. Which is the biggest value? (a) 6 (b) n (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 725*t**4 - t**2 + 173*t - 1.\nAnswer: 8700*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2085 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -34*o + 11*o**2 + o**2 - 11 - 8*o - 5*o**2. Is f(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 3*h**2 - h**3 + 31 - 16 - h in the form k + q*h + p*h**2 + u*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3540145*o**3 - 38*o**2 + 322930875*o wrt o.\nAnswer: 21240870*o - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 10 = 0. Let x be 0\/(0 + (0 - c)). Let r be (20\/16)\/(2\/8). Put r, 4, x in decreasing order.\nAnswer: r, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.838 to 1 dp.\nAnswer: -49.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1705404 by 6.\nAnswer: 284234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -143 + (-8 - -35) - (7 + (5 - 0))?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*136\/(-102)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-10)\/4 - 5\/2. Sort b, -3, 1, 1\/3 in ascending order.\nAnswer: -3, b, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9471 and 5509539?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -134*l + 1530. Is 12 a factor of m(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1932262, -3864531, -5796800?\n\"Answer: -1932269*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 14*d + 104. Calculate i(-7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 4512?\nAnswer: -4502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 104*k - 140. Let o be w(9). Let c be -6 + (o\/266 - (-6 - -3)). Suppose -t = 3*t. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -925 + 618. Suppose 5*o + 34 = -w - 3*w, 0 = -3*w + o - 16. Is (z\/(-2))\/((-3)\/w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*u = -3*q - 35, q = -u - 1. Suppose 28*b = 35*b - 21. Solve -2*p = b*x - 3*p + 8, q*p = -3*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66466, 132956, 199416, 265834, 332198, 398496?\nAnswer: 464716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1425060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1 - 5) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1965 + 1965.02. Let u = -0.3 - -0.1. Let p = 0.8 - u. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288*k*m**2 + 10*k + 4579*m**2 wrt k.\nAnswer: 288*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/75769 and 65\/53484?\nAnswer: 909228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) - (sqrt(98)*-2)**2) + 3.\nAnswer: -394 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7726727 is divided by 1103818.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 202. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -24832*t**2. Let d(n) = -4487*n. Give d(s(l)).\nAnswer: 111421184*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*p + 287 + 37 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 4) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 8*m + 2. Let a be f(8). Is (-31)\/(a*2\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -29\/4 (c) -0.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022166 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*i**5*k + 2*i**5 + i**2*k - 8*i*k - k wrt i.\nAnswer: 660*i**2*k + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -132*g**2 + 5147*g - 4974. Determine o(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -21, 1, 31.\nAnswer: -21, 1, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttlbtbttttblb?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*l**4 - 5*l**3 + 386 wrt l.\nAnswer: -76*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21550668 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225763?\nAnswer: 7, 11, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -40 (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120 + 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10418 + -10416. Suppose -2*o + 11\/2*o**3 - 3\/2*o**4 - 4*o**c + 0 = 0. What is o?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h - 302. Give r(26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 265. Let y be j(0). Let x = 139 - y. Let w be ((-8)\/(-16))\/((-1)\/x). Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/5 - 11*j**2. Let b(u) = 2*u. Calculate b(m(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-14)*y*y**14 assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/10140 and -147\/354640.\nAnswer: 13830960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10*h - 230349990 = -12*h, -2*r = 2*h + 92140010. Round r to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 22. Let t = h - 16. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/294*142317\/(-609930)?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*l + 10. Which is the nearest to -1\/29? (a) -4 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -797, -1599, -2405, -3215, -4029, -4847, -5669?\nAnswer: -6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/15 + -2)*3. Let a be (((-4)\/6)\/(4\/6))\/(-1). Differentiate 15 + 25*r + a - q with respect to r.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ba216 (base 13) in base 11?\nAnswer: 20a8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 8*v + 223. Suppose -a + 6 = -5*y + 9, v = -4*a - 4*y + 60. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {c: 1, u: 1, o: 1, l: 1, h: 2, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 - 0.34. Sort -4, 3, q in increasing order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6152062 or -6152119?\nAnswer: -6152119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, 2\/3, -2\/15, -0.5, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009361968 to 7 decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134.76 + -113. Let j = y + -12. Let h = 10 - j. What is h rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z + 1397 = 114*z + 71*z. Suppose -2*v - 708 = -3*n - 85, 2*n = -3*v + 424. What is the highest common factor of n and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3326 = 5*q + 394, 0 = 2*q + 4*u + 1488. Let v = q - -744. Solve 9*x - 8*x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -63*x + 62*x - 6875, -3*t - x + 20641 = 0. Calculate the remainder when t is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -52, 0, -198 in decreasing order.\nAnswer: 4, 0, -2, -52, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6*0\/(-5))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2 - -1) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-20 - (-2610)\/81)) + 302\/(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:45 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:38 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*t**5 - 22*t**4 + 302*t**2 wrt t?\nAnswer: 1320*t**2 - 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53526 + s**3 + 53526.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 15. Which is the third smallest value? (a) t (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21 + 4.59. Let r = n + -4.3. What is the second smallest value in r, 0.4, -6\/11, -3\/5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, -1.02493, -1\/2, -2, -1\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -2\/3, 15, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 265, -314, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*c**3 + 175 wrt c.\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54263*x - 54270*x = -198884. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -141. Let w = -3039.8 - -3040. Let m = 58\/7 + -8. What is the closest to m in w, d, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 1 - 1)*(0 + 0 - g) + 116*g**2 + 88*g**2 + 30*g**2.\nAnswer: 232*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) 0.25 (c) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 20*s**4\/3 + s**3\/3 - 21*s**2 - 134*s. What is the second derivative of x(r) wrt r?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 1. Let c be m(-1). Let f be (-2)\/(1 + 5\/c). Suppose 1 + f = z. Solve l - z*t - 15 = -0*l, 4*t + 16 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 105. Let j = i - -41. Suppose -3*r = v - j, r - 5*r = v. Which is greater: 1\/52 or r?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 6*r + 2*r)*(16*r - r + 7*r) - 4*r**2 + 4*r**2 + r**2 + (-2*r + 2*r - r)*(-r + 3*r - 4*r).\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -937*v - 2. Let j(p) = -1859*p - 5. What is 2*j(b) - 5*l(b)?\nAnswer: 967*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 - 129 + 248 - 119 + 8*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 45, 42, 39, 36, 33?\n\"Answer: -3*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157 a factor of 485771029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 656 + 101 = 5*w, -2*s - 3*w = -227. Let n = s - 67. Let u be ((-5)\/(n\/2))\/((-8)\/(-12)). Which is the closest to -1? (a) u (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/55825 - -442067\/84351575. Let s = -68131\/25687 + g. Find the common denominator of s and ((-58)\/21 - -2) + 9\/21.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*l + 158*l**2 - 76*l**2 - 81*l**2 + 145*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00576266 rounded to 5 decimal places?\nAnswer: -0.00576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -2, -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g - 452 = 81. Let d(s) = -s**2 + 15*s - 24. Determine d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -20.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, u: 4}. What is prob of picking 3 u?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6648400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12343 (base 5) to base 16\nAnswer: 3cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 plus -75?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-10))\/(-2 - (-22)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3 + -20)*(-10)\/(-144). Let r = -1\/24 + q. Are r and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9665395.95 to the nearest 1000.\nAnswer: -9665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902 is divided by 894.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/468 + (-5236)\/(-15015).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 82903, 82868, 82833?\n\"Answer: -35*a + 82938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 91, 721, 2381, 5569, 10783, 18521, 29281?\n\"Answer: 83*y**3 + 17*y**2 - 2*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i + 2*i - 7*i + (1 - 2 - 1)*(5*i - 2*i - 2*i) - 3 - 2*i + 3)*(2 + 6 - 5)*(-4 + 0 + 3).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191*c + 682*c + 140*c)*(c**3 + 2*c**3 - 5*c**3) + (1 - 1 - c)*(-2*c**3 - 2*c**3 + 2*c**3) to z*c**3 + g*c**2 + u*c**4 + p*c + m and give u.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -132 + 156. What is the lowest common multiple of t and 5 + -1 + 3 + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 + 11*h**4 - 118*h**3 - 272*h**2 = 0 for h.\nAnswer: -17, -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {n: 1, d: 4, z: 4, v: 1, p: 1, h: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 27. Suppose -v*a - p - 110 + 31 = 0, -3*p = a + 32. Let s = a + 43. Calculate the remainder when 13 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a + 69*a - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*g = -12, 2*g + 9 = 2*q + 3*g. What is the common denominator of ((-476)\/21 + -7)\/(8\/12) and (-282)\/(-10) + q\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*s**4 - 6 + 33 + 0*s**4 - 2*s**4 - 27*s**2 wrt s.\nAnswer: -8*s**3 - 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, -106.\nAnswer: -106, -8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/11 - 59\/33. Let o = 6.86 - -0.14. Let z = o + -7. What is the closest to 1\/3 in t, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -848.7 times 45\nAnswer: -38191.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*y + y + 38*y + 63*y in the form o*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2549188, -20393401, -68827682, -163147063, -318646576, -550621253?\nAnswer: -874366126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 495998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266895328*o**2 + 2*o + 183*o**3 - 266895328*o**2.\nAnswer: 183*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8) + (-3)\/3)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 1, q: 1, l: 1, h: 1}. What is prob of picking 1 l, 1 x, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 0. Let d = 1.2 + r. Let h be (-6)\/(-4) + -1 + 0. Which is the third smallest value? (a) d (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 + 390*c + 385 = 0. What is c?\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -52*a**2 + a + 10. Let b be s(3). Let t = 322 - b. List the prime factors of t.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*r - 985*r + 18975 + 12329 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.57987 seconds in minutes?\nAnswer: 4.6596645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from mmttuv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6, -2\/9, -1\/8 in increasing order.\nAnswer: -6, -0.5, -2\/9, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = -y + 794. Suppose 4*c - 1864 = y. Suppose -6*t + c = -2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/18 + (-1 - -3) and 10\/(-32)*4\/20.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**6*k)\/k*((k**1\/k)\/k)\/k)\/(k**(-2\/3)*k**(-2)))**(2\/53) assuming k is positive.\nAnswer: k**(46\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13 + 12 = 0. Suppose 0 = k*s - 2*r - 11, -5*r + 4 = -3*s + 3. Let o be 0\/(20\/(-12) - (-2)\/s). Let w(p) = p + 2. Calculate w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(14\/((-840)\/(-18))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 1429170*s**3 - 226663272000*s**2 + 11922528150090750*s + 7174450137510901875.\nAnswer: -3*(s - 158995)**3*(s + 595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11782 = -34*n - 69*n + 8280 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 7943570.\nAnswer: 47661420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/2 - (-20)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n - 0. Suppose -n*i + 16 = -4. Solve 4 + 1 = -i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 4 = 9*x. Let m be x*(-2)\/((-6)\/3). Let f = 18 - m. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 9. Let c(i) be the second derivative of -i**3 + 7*i**2\/2 + 10*i. Is c(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*k - 21 = 0, 3*t + 4*k - 10 = 16. Suppose -t*v + 12 = 4. Solve -3*s + v = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 2, n: 1, z: 1, h: 2}. What is prob of picking 1 h, 1 g, and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2917801 - 3315.2852199. Let y = z - -3317. Let b = -1.4 + y. What is b rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/2378*(44\/(-55))\/2.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21862, -43718, -65566, -87400, -109214, -131002, -152758, -174476?\n\"Answer: j**3 - 2*j**2 - 21857*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396927138?\nAnswer: 2, 47, 79, 313, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzsl when four letters picked without replacement from wwwswlwlswwwwplzwzw?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 116305 divided by 116305\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.35 + -0.35. Let w = 43.000012 - z. Round w to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a + 17*a + 14*a - 81*a**3 wrt a.\nAnswer: -486*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -50*t + 4157. Let c be w(83). Solve 5*f = c*f, 4*f - 2 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 19. Calculate the smallest common multiple of w(10) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/6825647?\nAnswer: -24\/6825647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7996 or 91547?\nAnswer: -7996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 + 845. Calculate the lowest common multiple of z and 21.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/26*2\/12)\/(46\/(-44712)*18)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*i + 5, -30 = -4*d + 2*i - 0*i. Let j be (-3)\/1*15\/(-9). Suppose 0 = 3*l + 3*q + 9, 3*l + 15 = 8*l - j*q. Sort d, -5, l in decreasing order.\nAnswer: d, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 3*a - 6*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/2 - (-1 - 6). Suppose z*t - 2*n = 4*t + 6, 5*t + 2*n = -3. Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 77*k - 118*k - 145*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36390*j + 36437*j - 72239*j.\nAnswer: 588*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.12 and 0.12.\nAnswer: 2.5344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9*b - 15 = 4*b, -5*c + 2*b = 0. Suppose 0 = -12*x - 46 - c. Let t(o) = o + 4. Determine t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -23. Suppose 36 = 4*w - 28. Let g = w + 11. What is the greatest common factor of m and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6287847 by 48743.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 5 - (-5)\/10*54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/370 and -31\/323343.\nAnswer: 3233430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 176928715 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let z = -59654 + 59645. Which is the second biggest value? (a) z (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(32\/20)\/(-4)*4420\/(-107406)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 79?\nAnswer: 4898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8939 less than 906251?\nAnswer: 906252.8939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, 10, -4, 19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1023, 2549, 5099, 8673, 13271, 18893?\n\"Answer: 512*o**2 - 10*o + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.68550842 rounded to 2 dps?\nAnswer: 4.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, -76, -7, 108, 269, 476?\n\"Answer: 23*t**2 - 46*t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((42\/20)\/3*((-783)\/(-18))\/(-87))?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -167, -190, -225, -272, -331, -402, -485?\n\"Answer: -6*d**2 - 5*d - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678523 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3233*n**2\/2 + 244*n + 6126. Let b(v) = 66*v + 5. What is 244*b(c) - 5*k(c)?\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -41*s**2 - 5*s - 10. Let p(r) = -82*r**2 - 8*r - 18. Give 11*i(q) - 6*p(q).\nAnswer: 41*q**2 - 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*(-3)\/(-2). Let n = 4\/39 - -128\/273. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43608 divided by -24.\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 16 = -2*w. Let i be 44\/w - 2\/(-4). Solve -i = -5*z - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -11. Let g be (-2)\/(4\/t) - -70. Suppose -q - q + g = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Let q = 1.2 + -1.3. Let y = q - 0.3. Sort o, 1\/4, y in increasing order.\nAnswer: y, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 1. Let h(z) = z + 6. Determine h(t) - 5*y(t).\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -789 smaller than -384\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-1)\/((-18)\/231)) + -3 + 409\/(-6)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/7))**(-1\/19)\/(a**(-2\/3)\/a**(-1\/11)))**(-8\/13) assuming a is positive.\nAnswer: a**(-19160\/57057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3706*r**3 - 6*r**2 - 57*r. Let h(q) = 11118*q**3 + 16*q**2 + 173*q + 5. Let s(n) = 3*h(n) + 8*l(n). Find the second derivative of s(p) wrt p.\nAnswer: 22236*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 297272766 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242214 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9782.71088885 less than -0.115?\nAnswer: 9782.59588885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**2 + 1\/12*y**4 - 3*y + 0 + 0*y**3. Find the first derivative of w(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 25482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -650*d**3 - 2*d**2 - d + 1. Let l be h(-1). Suppose -5*i + 1276 + 370 = 3*r, -2*i + l = -3*r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37791 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, r: 5, v: 2}. What is prob of sequence trtt?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 640 - 84177*y**3 + 83394*y**3 + 315 wrt y.\nAnswer: -2349*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13656, 27304, 40942, 54564, 68164, 81736?\n\"Answer: -v**3 + v**2 + 13652*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 527*n**2\/3 + 944*n - 7560732.\nAnswer: -(n - 354)**2*(n + 181)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -593*x - 14228. Give r(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -911920, -911808, -911698, -911590, -911484, -911380?\n\"Answer: -z**2 + 115*z - 912034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/40 (b) -1 (c) -6 (d) 2 (e) 71 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Let x = 1 + s. Calculate the smallest common multiple of x and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 10496*z\/7 - 13770752\/7.\nAnswer: -2*(z - 2624)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145621 - -9695621. What is v rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8052 or -56374\/7?\nAnswer: -8052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 21. What is x(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -80. Let h = x + 45. Calculate the greatest common factor of h and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63947667 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 1. Let j(g) = -15*g**2 + 15. Let u(t) = 2*j(t) - 14*k(t). What is the first derivative of u(m) wrt m?\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 307241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5860)\/500 + (-8)\/100 - 3\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96652709303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*i, 4*d - d - 4*i = -11. What is the second derivative of 0*b**d - 93*b**4 + 30*b + 92*b**4 + 0*b**3 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237506873*w**4 - 2*w**2 - 5*w - 43360?\nAnswer: 5700164952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3735.9318 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45*52\/(-390) - (-198)\/(-30))\/(-30).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1859.3693 + 1860. What is c rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*a - 541, -15*a = -2*l - 20*a + 1080. What is the remainder when l is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((5 - -5) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 477500*l**3\/3 - l + 7. Let u be i(-2). Let m be -3 + 4 + 0 + u. What is m rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 36. Determine y(21).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**(-33)\/u*u*u)))\/u*u**0)\/((u*u\/(u**(-4\/29)\/u)*u)\/(((u*u\/u**(-27))\/u)\/u)))**46 assuming u is positive.\nAnswer: u**(-13524\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 131032 (base 4) in base 16?\nAnswer: 74e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10210220002 (base 3) to base 7.\nAnswer: -431453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*-3 - sqrt(3)) + sqrt(170)\/(sqrt(60)\/sqrt(6)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = -14*w - 5*f + 15, -19 = 3*w + 2*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234\/20885 or 0?\nAnswer: -234\/20885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 45. Give z(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28352 is divided by 1899?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101348 divided by -1949\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61286.47mg in tonnes?\nAnswer: 0.00006128647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/54)\/(26108\/352458)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5655514987 to the power of 1\/3, to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-12 - (2 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*b**3 - 95948*b - 6758857 wrt b.\nAnswer: -18*b**2 - 95948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 33 + -135 + 3 - (-3 - 5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)**(1\/9))**(-1\/7)\/((s**0)**29\/(s*s**(2\/7))**1) assuming s is positive.\nAnswer: s**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -30, -44, -56, -66?\n\"Answer: n**2 - 19*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741666 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 36*v - 4. What is u(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48600865, 48600866, 48600867, 48600868, 48600869, 48600870?\n\"Answer: b + 48600864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7\/x)\/x**(-1\/2))**(-22)\/(x**2*(x\/((x**(-6)*x)\/x))\/x)**(-45) assuming x is positive.\nAnswer: x**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4221 and 1386?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275185 - -194132. Let v = 5511499\/68 + l. Calculate the common denominator of v and 69\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.5492m in micrometers?\nAnswer: 623549200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 7, -85*q = -87*q - 4*a + 178. Solve -17*i - 8*i + q = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/21)\/(n*n**(2\/3)))**(-4\/9) assuming n is positive.\nAnswer: n**(44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*r + 56 = 54, -4*x + 4*r = 64 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -34 - (26 - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 != -128411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.623 - 274.\nAnswer: -276.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 13*m + 6. Let i be l(13). Suppose 4*h = -2*n + h + i, 2 = h. Suppose -2*r = 2*k + 2*k - 8, -k - r = n. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 4, x: 1, a: 4, m: 8}. Give prob of sequence maa.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5 = -5*u, 0 = u - 118 + 123 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 81*i - 640. Calculate x(0).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75472 and 5632.\nAnswer: 26566144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = c + o, -2*c + 668 = -o + 93. Let s = c + -130. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**2 - 97*s + 116. What is p(-10)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.3. Let d be (28\/42)\/(1\/(-3)). What is the nearest to 2 in 1, i, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4015, -7749, -11481, -15211?\nAnswer: -18939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 4*u = 18*z - 43, 2*z - 26 = -2*u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 2*x**2 + 6*x**4 - 3 + 5*x**2 - x**3 - 5*x**2 + 0*x**2 + 3*x**2 to t*x**4 + f*x**2 + h*x**3 + y*x + w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i + 2. Give s(9).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.36, 1\/4, 5 in descending order.\nAnswer: 5, 0.36, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (47 - 19) + -7 + 25?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -308, -620, -932, -1244, -1556, -1868?\n\"Answer: -312*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -21, -0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5192\/(-528) - (-8 + -2) - (-2)\/24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*c**2 - 219*c**2 + 62*c**3 + 8 - 8 to the form w*c**3 + a + g*c**2 + m*c and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 8)\/(-1 + 0). Let f = -7 + g. Sort f, 0, 3.\nAnswer: 0, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9243 - 0.0757. Sort -0.5, h, 0.4 in decreasing order.\nAnswer: 0.4, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*w + 5*w - 53 = 0, -5*x = -2*w - 140. Find the second derivative of x*t + 6*t**3 + 68 - 38*t + 11*t + 4*t**4 wrt t.\nAnswer: 48*t**2 + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2484 and 7420536?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2544 - -3564. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4573*4\nAnswer: -18292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000169264 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -0.8, -2 in increasing order.\nAnswer: -2, -0.8, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 8*l - 2500 = 0. What is the greatest common divisor of 2150 and l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(4) - sqrt(64)) + 1*sqrt(100))\/(-5*-1*sqrt(2)*-3))**2*6.\nAnswer: 256\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -4*i - 3*f, 7*i + 4*f + 4 = 0. Suppose -1\/8*j**3 + 5\/4*j**2 + i + 0*j = 0. Calculate j.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/4))**(2\/9) assuming d is positive.\nAnswer: d**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1376*m**3 + 1795*m**3 + 1766*m**3)*(0*m - 2*m + m).\nAnswer: -2185*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdokonh. Give prob of picking 1 o and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 19*s - 94. What is the remainder when 152 is divided by c(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1350.2 - -1502. Let x = c - -1.2. Let p = 120.2 - x. What is p rounded to zero decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 13*l - 125 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziizizyizziiyiii. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c - 1. Let j = 272 + 151. Let n = j - 424. Determine s(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 90 = 5*f, -f + 39638652*a - 39638643*a + 59 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, 0, -0.3 in increasing order.\nAnswer: -10\/7, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -100*d + 24*d + 8*d**3 - 7*d**3 - 50*d - 3*d**2 - 8*d**2 = 0.\nAnswer: -7, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b - 2. Calculate f(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*f + f**2 - 4*f**4 + 19*f + (5*f - 5*f + f**3)*(0*f - 2*f + 4*f).\nAnswer: -2*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 119205731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 18, -4 in ascending order.\nAnswer: -7, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -6\/11 (b) 2 (c) 0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5 - 62*g**4 - 2852*g**3 + 2912*g**2 = 0.\nAnswer: -26, 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/12 (b) 0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/24)\/(13\/(-104))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117987983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75397 - 274?\nAnswer: 75123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*h - 74*h - 441 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1011202012221221?\nAnswer: -1011202012221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y**2 - 6*y - 24. Let m be a(-1). Is -17\/330 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*g - 31*g + 49*g + 5 + (4 + 0 - 3)*(-g - g + 0*g) as q + k*g and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817406 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 o, and 1 l when four letters picked without replacement from {h: 2, x: 1, o: 4, f: 4, l: 3}.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570730 divided by 1?\nAnswer: -1570730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = -5. Suppose -5*o + 30 = 2*r, 3*o - 4*r = -a*r + 29. What is the greatest common divisor of o and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:26 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594963, 4759696, 16063997, 38077650, 74370439, 128512148, 204072561?\nAnswer: 304621462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271832, 543665, 815500, 1087337, 1359176, 1631017?\nAnswer: 1902860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96358742?\nAnswer: 2, 47, 1025093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 1102 = -3*g + 1064, 0 = 2*g + 4*s + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 228\/20 - 3*4\/30. Suppose -q - 37 = -16*a. Solve -4*p + 5*p = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 12.6. Which is the third smallest value? (a) -5 (b) q (c) -4\/5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 2*n + 471 - 2*n + 5*n + 1179 in the form d*n + k and give k.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1013 + 824 + 2542)*(2 - 3 + 3)*(-3*o - 3*o + 4*o)*(3 - 3 - 2).\nAnswer: 18824*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(0*s + 3*s + 2*s) + 10683*s - 9030*s - 10934*s as r + a*s and give a.\nAnswer: -9276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 4*c. Let y be (3\/(-6))\/((-1)\/c). Suppose 7*j - 40 = -5*v + y*j, 5*v = -4*j + 36. Solve b = 5*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851320 to the power of 1\/2, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -2.5. Let z = 61\/2 + -31. Let l = -4 - 0. Sort v, z, l.\nAnswer: l, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/3 - 4*d**3\/3 + 2*d**2\/3 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 18*j - 650. Let u be b(36). Let l(d) = 3*d + 22. Let n(x) = -x - 11. Give u*l(a) - 5*n(a).\nAnswer: -a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3, 23*b = 19*b - y + 9527. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(3 + (1 - 6)). Suppose m = -j - 0. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 54*t**2 - 278*t - 98. Let n be g(-58). What is the highest common factor of n and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:33 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t + 5*k, 3*t + t - 16 = -4*k. Let m = -18 + 22. Let z(n) = -n**3 - 7*n + 6 + 0*n + m*n**2 + n**2. Determine z(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/8)\/(6\/(-8)). Let l be ((-2373)\/28)\/(p\/(-8)). Suppose -3*k - l = -3*d - d, 3*d - 184 = -5*k. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 5, m: 9, y: 1}. What is prob of sequence mmli?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1455\/2, 1\/6, 1.5 in ascending order.\nAnswer: -1455\/2, 1\/6, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1499663*n**3 + 345474*n**2?\nAnswer: 8997978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*h = -2 + 12, -h - 3 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 2*z. Let b(j) = 82*j**2 + 13*j. Calculate b(w) + 4*n(w).\nAnswer: 86*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -188 - -200 - ((10 - 10) + (-14 - (-3 - -1)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 840933232 to the power of 1\/2, to the nearest integer?\nAnswer: 28999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 29. Let a(j) be the first derivative of 0*j**2 - 4 + 0*j**x + 0*j + 1\/10*j**4. Find w, given that a(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*s = 284*s - 208*s + 22163 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5*270\/189)\/((-74)\/(-1036)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3 - 3 + t - t + 1 - 1 + t + 1 - 1 + (2*t + 4*t - 4*t)*(1 + 2 - 5) + 3*t - 3*t + 2*t + (-1 + 2 + 0)*(2 - 4*t - 2) - 11*t + 2 - 2 - t + 0*t - 3*t.\nAnswer: -20*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 23*b**6\/30 + 7*b**3\/2 + 6*b. Find the second derivative of l(w) wrt w.\nAnswer: 276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 - 2*w + 16. Let k be ((-7)\/(-2))\/(29\/(-58)). List the prime factors of h(k).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5028697782 rounded to two dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32535 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 4*w - 5*w - 4*t, 4*w - 3*t - 252 = 0. What is the tens digit of w\/4 + 12\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 0.079, 0, 2, 12 in decreasing order.\nAnswer: 12, 2, 0.079, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (11 + -8 - 1) - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 161*l + 12*l + 2 - 2 + 78*l.\nAnswer: 251*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3 - 3)*(-3 + 0 + 1) + 21*v + v**2 - 21*v + 2.\nAnswer: 5*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(245)*-2*5)*-6)**2*-2*-4.\nAnswer: 28224000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124627 divided by 277.\nAnswer: -124627\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - 18\/(-5). Let z = 105 + -104. Solve -z = -3*v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 5961 = -4*p + 5972, 4*i = -p + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336 + 591. What are the prime factors of i?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkjkjjk. What is prob of sequence jkjj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -4, 1, 19 in descending order.\nAnswer: 19, 1, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1914416, -1915109, -1915802, -1916495, -1917188, -1917881?\n\"Answer: -693*v - 1913723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 0 - (3 + -3). Suppose 5*i - 5 = 3*p, 4*p = i - p + 21. Suppose 32 + i = f*z. Calculate the lowest common multiple of 8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 7*k**4\/4 - 46*k**2. Let l(f) = 2*f. Calculate q(l(a)).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (0 - -3)) + (-35)\/(-7). Let k(j) be the first derivative of -5\/2*j**l - 5\/3*j**3 + 0*j + 11. What is y in k(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 4. Let r be k(2). Suppose 0 = -5*u + 3*s + 12, -r*s + 0*s = -2. Solve -3*h - i - i = 17, -u*h - 4*i = 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.13 - -0.87. Let p = -0.2 + 0. Which is the second smallest value? (a) p (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 30. Let n = q + -23. Suppose 5*i + 11 + 17 = 3*c, -2*i + 26 = n*c. Calculate the remainder when 14 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3654850 and 49095?\nAnswer: 32893650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 18. Let q = 37 - 34. What is the remainder when b is divided by (q\/4)\/((-3)\/(-96)*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*b - 1 + 3, -2*d + 4*b = -16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - n = -2*a - 0*a - 41, -7*a + 53*n = 52*n + 90 - 29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 402*d**2 - 1223*d**2 + 421*d**2 + 400*d**2 + 689*d**3.\nAnswer: 689*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30051 + -5233?\nAnswer: -35314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 132 + 124 - 256.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-4 + 8)) + (-3 - (7 + -6))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 745*j - 10. Let s(o) = 3*o - 2. What is -6*s(c) + w(c)?\nAnswer: 727*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q + 101. Let r(o) = 14*o - 101. Let t(k) = -5*f(k) - 6*r(k). Let d be t(10). Calculate the greatest common factor of 187 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41005 + 2*h**3 + 2831*h**2 + 2834*h**2 - 5665*h**2.\nAnswer: 2*h**3 + 41005","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, w: 11, j: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j*x*y + 1659*j*x + 19*x*y + 1684*x + 2*y + 1 with respect to j.\nAnswer: 9*x*y + 1659*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -21*i**2 + 9*i + 1. Suppose 0 = -14*o - 8024 + 8038. What is g(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 11, r: 3}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**3*v + 8*u**3 + 3*u*v - 17*u wrt u.\nAnswer: 30*u*v + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from fmoooff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33*u - 461. Let j be q(-21). What is the greatest common factor of j and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11782, -23522, -35250, -46960, -58646, -70302, -81922, -93500?\nAnswer: -105030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -18*a**2 + 3*a. Let t = 11 - 16. Let c be (-2)\/(-1)*5\/(-10). Let i(k) = -k. Let x(m) = c*f(m) + t*i(m). What is the second derivative of x(g) wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*h + 24 = 0, -8831*h = -4*j - 8837*h + 40 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151231873 a multiple of 1339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-276)\/14 - 4\/14. What is the remainder when (-5)\/2*s\/25 is divided by (-1)\/4 - 9\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 52. Let p be (20\/4)\/(q + 0). Solve 5*t = -d + p, -4*t + 1 + 3 = d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 27, 54, 101, 174, 279?\n\"Answer: c**3 + c**2 + 3*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 27816*f - 4957568.\nAnswer: 2*(f - 14084)*(f + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 0, 4*g = -0*g + 5*s + 29. Let n be 1\/(-3)*-9*g. Put n, 2, 4 in increasing order.\nAnswer: 2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 - ((-1639)\/(-165) - 10)*29. Put 27, 1\/2, f, 0.1 in decreasing order.\nAnswer: 27, f, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 42*f + 407. Calculate a(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + -2 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6787316 and 27149264.\nAnswer: 27149264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5677, -11362, -17055, -22762, -28489, -34242, -40027, -45850?\nAnswer: -51717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -54, -194, -472, -936, -1634?\nAnswer: -2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1066 by 3.\nAnswer: -1066\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by 157024.\nAnswer: 143\/157024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 2*s + 82. Calculate k(0).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57456.58 centuries to years.\nAnswer: 5745658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -51*s - 1. Let d(u) = u**2 + 18*u. Determine d(k(h)).\nAnswer: 2601*h**2 - 816*h - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001582 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1)\/2 - 14. Let g(k) = 7*k - 2. Let w be g(4). Let v = f + w. What is the remainder when 25 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123130223 (base 4) in base 14?\nAnswer: 195803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*s + 5*i, 339 - 334 = 5*s + 4*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*l + 6*l + 23.\nAnswer: 2*l + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 232*g - 4615. Let t be v(20). Solve 5*f = -25, 7*k = 8*k - 5*f - t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**2 + f + 0*f + 7*f**3 - f wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/37636469 and -55\/146588.\nAnswer: 150545876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:25 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/11132*24*-9*198\/(-1458).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/66 and -47\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1122 and -113\/1743520.\nAnswer: 57536160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (25\/9 - 3)\/((-15)\/(-141)) and -16\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjkb when four letters picked without replacement from lahhahjjklahlbakhaah.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let f = 2 + m. Sort f, -2, 0 in increasing order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h**2 - h + 19. Suppose -4*r - 2*x + 5*x + 96 = 0, -4*r + 96 = -5*x. Let a = r - -13. Calculate the remainder when a is divided by j(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024367768 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(17 - 17 + 431*u - 1661*u).\nAnswer: -1230*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -420843 and 0.05836552.\nAnswer: -420842.94163448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -398724523, -797449044, -1196173565, -1594898086, -1993622607?\n\"Answer: -398724521*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 23. Let p(g) = -g - 20. Let s(i) = -3*p(i) - 2*t(i). Calculate s(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 234806585 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29403*u - 6*u**3 - 29403*u.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 21366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 991*m**2 - 6887*m + 6. Calculate l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4457470, 8914984, 13372498, 17830012, 22287526?\n\"Answer: 4457514*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30167033.\nAnswer: 13, 367, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*w = -4*z - 86*w - 12, -5*w - 6 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 17 = -3*t, -5*t - 4 + 13 = k. Let n = t - -3. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 880\/(-192) - 6\/8. Put -0.9, -4\/9, 1\/5, t, -2\/7 in ascending order.\nAnswer: -0.9, -4\/9, -2\/7, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*z + 2*a + 108, 0 = 2*z + 5*a - 20. Let g be (-10)\/z*6*-2. Suppose -5*x = -2*x - g. Let s(d) = -d**3 + 2*d**2 - d + 2. What is s(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 - -1370768?\nAnswer: 1370714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*t - 602*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6802 - -6801.4123. Let b = g - -0.909. Let d = 0.32 - b. What is d rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d772 (base 14) to base 2.\nAnswer: -1001000100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-6)*15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 2*d**2 - 3*d + 3. Let s = 12 + -15. Let g(q) = -q**3 - q**2 + 4*q - 4. Let y(c) = s*g(c) - 4*z(c). Find the third derivative of y(i) wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -17 + 14 - (0 + -6). Suppose -g*d + 2*d + 6247 = 5*k, 4*k - 5004 = -4*d. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -67*w**2 - 3*w + 10. Let g be n(9). Let r = -114301\/21 - g. Find the common denominator of r and -79\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j\/(j**0*j))\/j*j\/((j*j\/((j*j**(2\/13))\/j)*j)\/j)*j\/(j*(j\/(j*((j*j*j**(-3)*j)\/j)\/j))\/j)*j*j**(-2) assuming j is positive.\nAnswer: j**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, 0.4, 4, -2\/49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1005, 2, 3, -5 in decreasing order.\nAnswer: 3, 2, -5, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125819979 by -93.\nAnswer: -1352903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2304 times -0.8?\nAnswer: 0.18432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113763 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1082851750 to the nearest integer?\nAnswer: 32907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 35. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 5. Let s be w(0). Suppose 0 = s*n + 2*i - 27, n + 4*i + 6 = 3*n. What is the lowest common multiple of 4 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.4, 51468, 21, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 115, -2, 197?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -44*i + 1318. Let n be y(30). Let w(f) = -f**3 - 4*f**2 + f + 1. Calculate w(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 537e86?\nAnswer: 537e81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 0, -6766412.\nAnswer: -6766412, -102, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4 - 1828*c**3 - 9216*c**2 - 11088*c = 0.\nAnswer: -3, -2, 0, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + 258*r**2 + 262*r - 69. Let h = 36 + -11. Calculate the remainder when h is divided by z(87).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1836 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3705 divided by -400?\nAnswer: 741\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 23*w - 10. Let j be v(7). Suppose 10*b - 490 = -j*b. What is the greatest common factor of b and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (1 + 1115\/750) and -21\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287*q**4 - 12*q**3 - q**2 - 1839*q - 4 wrt q.\nAnswer: -6888*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = -308*c + 338*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 811560.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3087715 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 15 - (2 + (1 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.006 (b) 0 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8866588*o + 9772752 wrt o?\nAnswer: -8866588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29705 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*f + 18 = 0, -t = -f - 1 - 2. Suppose u = -t*u. Solve u = 4*a - 4, -4*b - a + 2*a + 15 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 55*l + 1. Let i(t) = 4*t**2 + 49*t + 1. What is 2*b(d) - 3*i(d)?\nAnswer: -2*d**2 - 37*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:26 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - 0.4. Let q = -0.1 - 22.9. Let u = h - q. Which is the closest to -1? (a) 3 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7680*b**2. Let k(y) = -2*y**2. Give k(v(t)).\nAnswer: -117964800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 11*n - 4. Let g(u) = -14*u**2 - 32*u - 11. Let i = 1604 - 1587. Determine i*c(l) - 6*g(l).\nAnswer: -l**2 + 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**(1\/13))\/m)\/m)\/m*m*m\/(m*m**(1\/5)\/m*m*m))\/((m\/(((m\/(m*m**(-10))*m)\/m*m)\/m*m))\/(m**(-14)\/m)))**10 assuming m is positive.\nAnswer: m**(-926\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**26*c*c)\/c*c**27\/c)**(-17) assuming c is positive.\nAnswer: c**(-918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4788*n**3 - 156*n + 4807*n**3 - 470*n.\nAnswer: 19*n**3 - 626*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11024930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -3)\/4 + -3. What is the second smallest value in -0.3, k, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1916.14139 and -15324.\nAnswer: -17240.14139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -u + 1074. Calculate the remainder when u is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. Let a be (4\/w)\/((-1)\/(-9)). Suppose -b - 4 = -3*b. Solve -2*y + 11 = -b*j - 1, -j = -4*y + a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 17*z - 15*z. Suppose z*d = 78*d. Let b(u) = -3*u + 48. Let y(n) = 2*n - 24. Let x(q) = -3*b(q) - 5*y(q). Give x(d).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8560 and 150145610?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -18*y - 10 + 8*y + 9*y. Let x be r(-11). Calculate the greatest common divisor of x and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 - 12*o + 40. Let w be l(15). Let t = 1441 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/36 + 2*o**5\/15 + 10*o**4\/3 - 32*o**3\/9 - 512*o**2\/3 - 2048*o\/3 + 4. Solve d(u) = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**2 - p + 4. Let g(l) = -l**2 + 1. Let s(o) = 4*g(o) - y(o). Let t be 4\/16*(-31 - -39). Calculate s(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 70*w + 5. Let k be r(-2). Let c = 356 + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 11. Let f be (1 + h)\/(-2)*0. Suppose 3*d - 4 - 44 = f. Solve -2*i - 2*i + d = 0, 10 = 2*k + i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4574*t. Let b(r) = 4*r**2 - 70*r + 68. Give c(b(d)).\nAnswer: 18296*d**2 - 320180*d + 311032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 17*m - y = -8, -3*m = 3*y + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*z - 459*z + 1417 - 273 = 0 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 163 + 55. Suppose -13*q = -16*q - 5*g + 37, 4*q = -6*g + 46. Which is the second biggest value? (a) -5\/4 (b) q (c) j (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 3*j + 4. Let g be b(-7). Let o = 52 - g. Let z(n) = 10*n**2 - 3*n - 2. Let u be z(1). Solve -u*x - 23 = -2*p, -2*p + 0*p + o = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1018 and -61\/9.\nAnswer: 9162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1881 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2503 (base 14) to base 11\nAnswer: -4953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 0.4, 3, -268?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Let g(w) = w**2 + 5*w. What is the remainder when g(-6) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2 + 160*h + 731*h**2 - 187*h + 32 - 7. What are the prime factors of u(1)?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = -2*z, 3*b = -2*b - 2*z. Let v be 4 + 18 + -5 - 18 - 2. Put -64, v, b in descending order.\nAnswer: b, v, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 5*o + 22. Let w be v(-4). Suppose 14*x + 0 + 2*x**2 + 2 - w = 0. Calculate x.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 16\/(-5))*-10. Let j(h) = 14*h**2 + 10. Let d(o) = o**2 + 1. Let k(b) = q*d(b) - j(b). What is k(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/3 - (6 + -5 - 5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120520 (base 6) in base 2?\nAnswer: -10100101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -440322 (base 6) in base 16?\nAnswer: -8e3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 1)*(i**2 - 1 + 1) - 4*i**2 - i**2 - 6*i**2)*(-2*i + i - i) + 3*i**3 + 3*i**3 + 0*i**3 to b*i**3 + h*i**2 + r + d*i and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2077 - -2078. Solve -p + c = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3182328*b**3*w + 1446214*b**3 - 7*b**2*w + 2*b wrt w.\nAnswer: -3182328*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c**2. Let z(r) = 4*r. Calculate z(g(p)).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -281, -286, -293, -302, -313, -326, -341?\n\"Answer: -f**2 - 2*f - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36412126\/333 - 109346. Let s = m - -2\/37. Sort s, -3\/5, 0.1.\nAnswer: -3\/5, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17))**(-2)*(x*(x*x**(-3\/7)*x*x)\/x)**(-38) assuming x is positive.\nAnswer: x**(-11600\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25.1*5755\nAnswer: 144450.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v - 2. Let s be b(6). Solve 1 = -s*w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w - 3*w - 744 - 437 - 5*w)*(0 + 0 + w) to b + l*w + d*w**2 and give l.\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -65*o + 66*o. Let i be 6\/12*(o\/4 - 0). Factor -1 - i*t**4 - 13\/4*t**2 - 3\/2*t**3 - 3*t.\nAnswer: -(t + 1)**2*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 5*d - 10. Let r(t) = t**2 - t - 1. Determine 3*r(h) - w(h).\nAnswer: -h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79484403 or -79484404?\nAnswer: -79484404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9031217 is divided by 686?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuhuhuuuuuhru. What is prob of picking 1 h and 1 u?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*m = 40*m + 3791 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (-10 - (14 + -25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 61*b**2 - 248*b - 13. Is d(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/66637 and -57\/407?\nAnswer: 733007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-7))\/c**(-1))\/(c\/(c\/(c**(-1)*c*c)))**(-22) assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4336061 is divided by 2598?\nAnswer: 2597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12c17f + -9?\nAnswer: 12c176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 1682440354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5483440, 5483334, 5483228, 5483122?\n\"Answer: -106*f + 5483546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - h + 4*h - 78, 0 = 5*h + 20. Let d be 11 + 18*8\/24. Suppose -d*s - 123 = -y*s. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3513638484?\nAnswer: 2, 3, 97601069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*g - 187*g = -81. Sort g, -22, 14, 2.\nAnswer: -22, 2, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/1008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 713074 and 700988.\nAnswer: 41358292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -455*d**4 + 8 + 6 + 24 - 9 - 2*d wrt d.\nAnswer: -5460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/32)\/(16\/(-128))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.21 - -124.79. Let m = 2051660 + -2051534.0113. Let j = m - h. What is j rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l + 26847 + 64*l - 2*l**2 - 26847.\nAnswer: -2*l**2 + 37*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8 - (3 + -7)) - (50 + -92).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 29311208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -140, -564, -1264, -2234, -3468, -4960?\n\"Answer: o**3 - 144*o**2 + o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 36 = -c - 68, 36*l - 63 = 3*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 14 - 29\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -39401273.\nAnswer: -39401270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -674\/3 + 225. Let a = 10\/3 - 3. What is the nearest to d in 4, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 - -71. Let h = s + 41. Let t be 4\/6 + (-93890)\/h. What is t rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455 - -461. Suppose -q = -d - d + 13, -2*d - 7 = 3*q. What is the greatest common divisor of x and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + 2*l - 6. Suppose 6*a = 4*a + 8. Let v be p(a). What is the remainder when 5 is divided by -3*3\/(-6)*v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-8 + 7) - (28 + -24) - (-22 - -15)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*(-10)\/(-28) - ((-13)\/(-546)*-6)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - -b7?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o + 65*o - 104 = 0. Let f be o\/(-8) + (-10)\/40. Solve 0 = -f*d + 15, 6*p - p + 25 = 4*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/31 equal to -290.873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, -839, -815, -771, -701, -599?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 6:39 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) -107\/47834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*sqrt(36))\/sqrt(12) - (-4*(sqrt(3) + -1))**2) + sqrt(48) + -1*sqrt(48) + sqrt(21)\/(sqrt(21)\/sqrt(3)) + -4) + 4.\nAnswer: -128*sqrt(3) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2855 divided by 1.\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/4 - 1965*d**2\/4 + 257415*d\/4 - 11240455\/4.\nAnswer: 5*(d - 131)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:00 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 12 = 3*d, -1684*n = -1685*n + d - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5) + 4 - sqrt(52)*3.\nAnswer: -5*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-39)*((56\/(-7))\/2)\/(-6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*t + 4*t + 136 = -140 + 298, -3*p - 4*t + 34 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Suppose 4 = 3*q - 2. Let r(j) = -j + 2*j - q*j. Determine t(r(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5340, 5339, 5338?\n\"Answer: -b + 5341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95880 * -7.91.\nAnswer: -758410.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2111 + -183?\nAnswer: -2294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71190.\nAnswer: 2, 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/48)\/((-21)\/42). Put 54, p, 3, -17, 1 in increasing order.\nAnswer: -17, p, 1, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*d - 25, -l - 2*l = -5*d + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 1354 = 11*w - 66*w - 2876 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 68. Let v be -4 + 18*(4 + r). Suppose 6 = 2*f, m - f + 5 - v = 0. Solve 0 = -c + 5*c - m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270703453*i**4 - 1035069164*i**2?\nAnswer: 6496882872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q - 46 - 1\/2*q**2 - 5\/2*q**3. Determine b so that w(b) = 0.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4826 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 8*t + 1 - 1 - 3 to w*t + c and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*u**3 - 19*u**3 + 104 - 103 - 29*u**3.\nAnswer: 20*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180206553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4*(-5 + 1). Let a = -187 + 190. Suppose -a*j + m*j - 22 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 11*x + 13. Let f(g) = -g**3 + 21*g**2 - g + 10. Let w be f(21). Give z(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -18\/11, 2\/33, -5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1747548 and 4620.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65634 divided by -1.\nAnswer: -65634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - 38 = -6*b, -r + 2*b - 62 = 14*r - 10*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9850.93 kilometers?\nAnswer: 9850930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25\/22 - 18\/11. Let u = 47 + -236\/5. Which is the biggest value? (a) u (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1171\/23 + 51. What is the biggest value in -18, y, 0, -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 2*w**2 + 8158*w - 48815. Give z(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1915 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 189*k**2 + 113*k + 19776. Calculate a(-95).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6*k - 307*f**6 + f**2*k - 1 wrt f.\nAnswer: -240*f**3*k - 36840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2257, 2240, 2223, 2206, 2189, 2172?\n\"Answer: -17*r + 2274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93dec6 + 3?\nAnswer: 93dec9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2 and (-9)\/2*185\/150?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - y**4 + 2*y**2 + (-3*y**3 + 3*y**3 + y**3)*(y + 6*y - 5*y) + 23*y**4 + 0*y**4 - 7*y**4 to j*y**4 + i*y**3 + t + p*y + l*y**2 and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 2*l - 25 = 16*q, -9*q - l + 18 - 5 = -9*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from {a: 4, v: 4, f: 12}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47973, 103351, 158727, 214101, 269473, 324843?\nAnswer: 380211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y + 4. Let k(r) = -y + 42*r - 41*r + 3. Let m(i) = -3*i - 10. Let p(g) = -g - 3. Let q(s) = 6*m(s) - 21*p(s). Calculate 2*k(u) - q(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608 + g + 4*g + 608 - 1223 + g.\nAnswer: 6*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 155 - 76 + 3*p - 80 - p**2. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 9:36 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by 4.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54009 - (-3 + 1))\/1. Let n = c - -32227. Is 3\/(-4) - n\/48 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-280)\/7*14\/(-5). What is the greatest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.42 + -33.58. Which is the nearest to -2\/3? (a) 0.4 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m**2 - 39*m - 5. Calculate j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42174*t**2 - 21040*t**2 - 20457*t**2.\nAnswer: 677*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 - 1 + 2*a**2 - 407*a + 403*a. Let d(l) = 4*l**2 - 9*l - 6. Determine -4*d(w) + 9*u(w).\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -690a + -b6?\nAnswer: -69c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -1\/3 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwhlmfmlhwhhlldlhhl. Give prob of sequence lh.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 19. Suppose 0*x - 5*x + 385 = v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*g + 41 + 3 - 6 = 579*g for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2032312kg?\nAnswer: 203231.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3332, -3334, -3346, -3374, -3424, -3502?\n\"Answer: -x**3 + x**2 + 2*x - 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -3 - (127 + -152).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 56*p - 46. Let i be r(-29). Suppose 7*j - i*j = 275000. Round j to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:31 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8124199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 13. Let i be l(-9). Suppose 0*c = -i*c - 32. Let s be (-4)\/(-14)*(18 + -17). Is c < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k)\/k*k*k*((k\/(k\/(k*(((k*k*k\/k**(-2\/7))\/k)\/k)\/k)))\/k)\/k)\/(k\/(k*k**0*k))**(-35) assuming k is positive.\nAnswer: k**(-201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1734083 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b - 28. Let c(s) = -2*s + 9. Calculate c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 17*j**2 + 16*j + 20. Let w be c(-16). Suppose -d + w = 3*d. Let y(u) = u**3 - 4*u**2 - 5*u - 3. Give y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-21) - 60566\/(-77) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12063.08 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(3)*6 + sqrt(18))\/sqrt(6) - (-3 + sqrt(48))*3)**2.\nAnswer: -90*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:20 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a - 13. Let s(n) = 6*n - 6. What is -3*l(w) + 7*s(w)?\nAnswer: 6*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0*g - g + 9)*(2*g**3 - 17*g**3 - 5*g**3 + 1).\nAnswer: 20*g**4 - 20*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24*z**2 - 10*z - 33. Let c(g) = 16*g**2 - 7*g - 22. Let a(d) = 8*c(d) - 5*f(d). Is a(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w - 141 + 141 as o*w + g and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*v - 33. Is 4 a factor of (0 - v)*44\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-83)\/3)\/((-7)\/21) + 2. Suppose -27 = -2*i + y. Is 57 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 20*f + 12. Give p(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2487*f + 447659. Calculate p(180).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - -2*sqrt(1216) - ((sqrt(152)*-1 - sqrt(152) - sqrt(152))\/sqrt(8))**2) + 3.\nAnswer: -168 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*j**4 - 3*f*j**3 - 204*f - 184412*j**2 + 16590*j wrt j.\nAnswer: -12*f*j**2 - 18*f*j - 368824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3777, -6990, -10203, -13416, -16629?\n\"Answer: -3213*u - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-25) + ((-1029)\/(-450) - 2) + (-180)\/(-2250).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 8*c - 26. Calculate x(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) - (-417)\/(-2780)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.228 + -47. What is y rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-7))\/(465\/(-7812)*28*(-3)\/35).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 38 (b) 1 (c) -2741\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + d + 1. Let o(p) = -p**2 - p - 1. Let r be (0 + -1)*-1 - 2. Let k(t) = r*y(t) - o(t). Let f(z) = z. Give k(f(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 12, -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -279, -3, 60473 in descending order.\nAnswer: 60473, -3, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2189*q**3 - 49333*q + 370606835?\nAnswer: 6567*q**2 - 49333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 11:30 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 17 = -4*d + 15, d - 3*u = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -25*c**3\/3 - c**2\/2 - 19*c - 84. What is the second derivative of f(q) wrt q?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1183428858.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2349, 2396, 2475, 2586, 2729, 2904?\n\"Answer: 16*d**2 - d + 2334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10087111 divided by 2.\nAnswer: -10087111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057200161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 - 3 = 0. Let h(i) = -5*i**3 - i**l + 5*i**2 + 5*i**3 + i**2 - 7*i + 6. What is the units digit of h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*a + 8*b - 1873, -5*a - b + 1882 = 0. What are the prime factors of a?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -20\/3*o**3 + 5\/6*o**6 + 13 + 0*o + 5\/2*o**2 - 4*o**5 + 15\/2*o**4. Factor w(k).\nAnswer: 5*k*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110101111010110010001 - -11?\nAnswer: 111110101111010110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (182\/21 + -9)*-6999.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6376 and -9.415.\nAnswer: -60030.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1932*x + 216 = -1914*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-20)*0*(3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 28275182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11\/11 - 2*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55938164 by 55938164.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s + 4. Let v(x) = -14*x - 11. Let a(z) = -4*v(z) - 11*w(z). Let o(m) = 6*m - 2*m - 3*m. Give a(o(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16663.3324 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, h: 2}. Give prob of picking 2 b.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v - 8. Let l be d(3). Suppose 7*x + 36 = l*x. Suppose 5*w - 7 + 1 = -2*r, 3*r - 30 = 3*w. Solve 2*i - x*z - 10 - 6 = 0, 2*z + r = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k + 4. Let w be s(-2). Let v be (12\/45)\/(8\/w). Let j = 3.1 + -3. What is the second biggest value in v, 5, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = -5*k, 4*k + 3*d + 12 = 9*k. Solve h + 2*z - 4 = 0, k = 3*h - 2*z + 5 + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 + l**3)*(-8 + 4 + 136).\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.14 + 1.7. Let l = 0.5577 - w. Round l to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5 - 150*g**4 - 135*g**3 + 290*g**2 = 0?\nAnswer: -29, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-2))**33)**(-43) assuming q is positive.\nAnswer: q**(-5676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8148.1*0.47\nAnswer: -3829.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10933 - 3472*a - 542 - 968*a wrt a?\nAnswer: -4440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179685 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(j\/j**(-1\/4))*j**(-3\/5)\/(j\/(j**(3\/7)\/j)))**(-6) assuming j is positive.\nAnswer: j**(1269\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-255)\/(-90))\/(10\/(-15)). Let p = j + 9\/2. Let g = -5 + 4.7. What is the closest to p in 1.3, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9143803us in seconds?\nAnswer: 0.0000009143803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/28 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-73)\/(205933\/(-186)))\/(1*8*(-29)\/406).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4268018 divided by -2\nAnswer: -2134009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - 2\/(-4). Let m = 36084 + -36084. Let f be 3*((-40)\/(-6))\/(-4). Sort p, f, m, 3 in decreasing order.\nAnswer: 3, p, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -22255*r**3 + 74*r**2 + 74. Let w(y) = -3709*y**3 + 12*y**2 + 12. Determine 6*c(t) - 37*w(t).\nAnswer: 3703*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 8 + 2, 2*k = -4*h + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*l**4 - 3 + 9 + 26*l**4 wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-18))\/(2600\/(-780)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 924 + -919. Suppose 2*k = 2*f - 0*k - 18, 0 = -2*f - 3*k - 2. What is the second derivative of 2*a**5 + a - 9*a - 4*a**f - 13*a**s wrt a?\nAnswer: -300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.7 - -294.7. Let j = y + -245.000000101. Round j to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, b: 2}. Give prob of sequence ttbt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82159581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.4 - -35. What is the biggest value in -1, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1\/20*d**5 + 5\/6*d**3 + 0 + 1\/3*d**4 + 3\/2*d**2 - 4*d. Calculate z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1700.4242 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -1\/60*q**6 + 0*q + 0 - 1\/20*q**5 - 1\/8*q**4 + 7*q**2 - 1\/3*q**3. What is the least common multiple of 1 and s(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/93264 and 53\/186528?\nAnswer: 186528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -293*s**6\/120 - 785*s**3\/6 - 88*s**2 + 3*s. Differentiate f(h) with respect to h.\nAnswer: -879*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -2 (b) -11.79 (c) -1\/40 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1095, -2191, -3287, -4383, -5479?\n\"Answer: -1096*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -600622599 * -3.\nAnswer: 1801867797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13950 and 150.\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {g: 5, v: 2, y: 1, p: 5, a: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05430785718 rounded to four decimal places?\nAnswer: 0.0543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/25 - 734*z**4\/15 + 98*z**3 + 1851*z. Factor i(g).\nAnswer: -4*g*(g - 1)*(g + 735)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 836300 and 180?\nAnswer: 7526700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/42 + j**6\/3 - 7*j**5\/12 - 3*j**2 + 8*j. Let r(x) be the first derivative of i(x). Suppose r(s) = 0. Calculate s.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (57 - 33) + 1 + (-2 - (53 + -1))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(1000\/5))\/(1\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1. Let h(q) = q**2 - 1. Let y(d) = -d**2 + 15*d + 18. Let g be y(16). Let o be h(g). Let r(f) = -f + 4. Give o*k(b) - r(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 359, 832, 1485, 2312, 3307, 4464, 5777?\nAnswer: 7240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 58 + 28 = 0. Let f = -6 - -9. Suppose -f*t - 14 = -t. Sort t, -1, c.\nAnswer: t, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**6\/75 - 23*b**5\/50 + 3*b**4 + 4345*b. Let n(a) = 0. What is a?\nAnswer: 0, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17323.\nAnswer: 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 3885\/180 - 4\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*i + 2, -20*i = -17*i - g - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100049, 400210, 900501, 1600940, 2501545?\n\"Answer: 3*n**3 + 100047*n**2 - n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 359, 5, 3, 53 in decreasing order.\nAnswer: 359, 53, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30205 + -5436967\/180. Find the common denominator of 13\/432 and i.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2369, 9684, 21879, 38954, 60909, 87744?\n\"Answer: 2440*r**2 - 5*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/230815443?\nAnswer: 4\/230815443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2, 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 45 = 5*p, 2*q = 3*q - p + 1. Suppose -q*t + 24 = -0*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11568, -42\/11, 5, 2 in ascending order.\nAnswer: -42\/11, 2, 5, 11568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128108, -512437, -1152972, -2049701, -3202612, -4611693, -6276932, -8198317?\nAnswer: -10375836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 2*u**2 - 5*u + 3. Let q be j(2). Let i be (-4 - q) + (-116)\/19. Let b = i - -2957\/114. Calculate the common denominator of -33\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*v**2 - 25*v + 836*v**2 + 16*v + 9*v.\nAnswer: 607*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1599.5 - -1524.17. Let n = m - -75. Let d = -0.23 - n. Which is greater: d or -0.01?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6727045 divided by -5?\nAnswer: 1345409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21432143 (base 5) to base 16.\nAnswer: 2d8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -935407.\nAnswer: -935406.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -408, -815, -1224, -1635, -2048, -2463?\n\"Answer: -t**2 - 404*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352783 is divided by 1302?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let x(t) be the first derivative of -t**2\/2 + 47*t + 5148. Determine x(f(y)).\nAnswer: y**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 3 + -1 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/180 - o**5\/120 + o**4\/24 + o**3\/3 - 2*o**2. Let a(s) be the first derivative of l(s). Let z = 11 - 13. Determine a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*692*(-6)\/(-8). Let b = 809 - h. Round b to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*r - 80, 5*r - 68 = -j - 0*j. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 14696.\nAnswer: 73480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 74. Is 10*2\/8*c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12196 + 394*b**2 - 6379 - 5819.\nAnswer: 394*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 3 (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 - 64. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 114) + 3 + 1. Let z be (-11)\/w - 33\/(-30). Suppose -2 + z*d**2 - 28\/5*d = 0. Calculate d.\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139234*k + 10908 = -139207*k. Solve 0 = -51*j - k - 55 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -9 (c) -1\/22 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-2 + 0.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-2)\/(-6)) + (-5640)\/(-72). Which is bigger: w or 78?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 78 + 93. Sort -3, m, -2 in ascending order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2819, -2853, -2911, -2993, -3099, -3229, -3383?\n\"Answer: -12*s**2 + 2*s - 2809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*v + 29*v - 16*v**2)*(-82*v + 42*v + 67*v) in the form b*v**3 + z*v + j*v**2 + k and give b.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 - t**4\/24 - 67*t**2. Determine n(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 10*j - 12. Let l be h(8). Solve 3*m - l + 20 = -2*z, -2*m = 3*z + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 + 24*m**2\/5 - 101*m\/5 + 114\/5.\nAnswer: -(m - 19)*(m - 3)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 - (-5 - -4). Put -3, 5, o in descending order.\nAnswer: 5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 20*c**2 + 4*c**3 - 6*c**3 - 24*c**2 in the form w*c**2 + r*c + l*c**3 + v and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 709*v**2 - v**3 - 7 + 707*v**2 + 7*v - 1423*v**2. What is p(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -19. Let p = -5.6 - f. Let l be 1\/6 + 1\/(-2). Which is the closest to 1? (a) l (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48924\/135 + (-6)\/(-10). Let c = w - 329. What is the remainder when c is divided by (-6)\/(-9) + (-48)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242506 and 949.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1683 and 77979?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140557 (base 11) in base 2?\nAnswer: -110101110001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 2. Let r be y(2). Let x be (r - 2\/2)*103. What is x rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 3*t**5\/5 + 15*t**4\/28 - 37*t**3\/7 + 93*t**2\/14 - 18*t\/7 - 12. Determine u so that l(u) = 0.\nAnswer: -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32 - 33\/36?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 10*z - 9. Let h be n(-3). Calculate the greatest common divisor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -24. Factor -j*l**2 + 5*l**2 - 4*l + 12*l - 4*l**2 - 6.\nAnswer: -2*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 - 4 = 2*m, 16 = 2*k + 2*m. Let c be ((-2)\/(-6))\/((-1)\/(-9)). Let x be 4\/56*4 - (-360)\/63. Solve -p - c*t - k = 0, 1 - x = p - 4*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952326.4 litres in millilitres?\nAnswer: 952326400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1071.6 + -1071.60027548. Round j to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 4*s**3\/3 + 19*s**2\/2 + 41*s. Let l be v(-3). Put -0.3, l, -1\/5, -1\/4 in ascending order.\nAnswer: l, -0.3, -1\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.01 - -1.71. Which is the closest to 1\/3? (a) -3 (b) -0.06 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*q - 26260, 51*q - 15726 = -3*n + 48*q. What is the greatest common factor of n and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9583562?\nAnswer: 2, 19, 107, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1048*v. Let a(l) = -l. Calculate -a(z) + b(z).\nAnswer: 1049*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -69*m - 21*m - 16*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/47 in 1\/3, -2, -68?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -3.653639?\nAnswer: -3.653639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36407.9671 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -221408 <= -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099 = -8*m + 1693. Let s = -149 + m. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**2 - 1008*t = 0 for t.\nAnswer: 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4769, 19198, 43281, 77018, 120409, 173454?\n\"Answer: 4827*c**2 - 52*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191 + -2.7993995.\nAnswer: 188.2006005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -1 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**4 + 0*m**3 + 0*m**3 + 2*m)*((1 + 3 + 0)*(-2 + 4 + 0) + 0 - 1 + 2) to the form g*m**4 + q*m**2 + j*m + i*m**3 + h and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 782640769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239211 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6301\/288 + -693\/32. What is the closest to 2\/7 in -1\/2, h, -1\/151?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * -2217.5\nAnswer: -997.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2132.7 + -2134. Which is the third smallest value? (a) 3 (b) 37 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 9:57 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = -2*b, 5*u + 5*b + 33 = 6*b. Suppose -12*j - 4*g = -11*j - 32, j - 31 = -5*g. Let o = u + j. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/20 + 7*h**4\/16 - 19*h**3\/24 - 3*h**2\/4 + 42*h. Factor l(k).\nAnswer: (k - 1)*(k + 6)*(4*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**4\/4 - q**3\/3 + q**2 + q + 2. Suppose 4*c = -3*v - v - 4, -2 = 3*v + 4*c. Give p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171140 and 3569.\nAnswer: 14204620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -33.97. Let c = -287.23 + 286. Let n = v + c. Round n to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99913.63cm to nanometers.\nAnswer: 999136300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 18.52 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 3.6. Let p = -1 + n. Let z be 2\/19 + 1 - 1. Sort -0.3, p, z in descending order.\nAnswer: z, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*l**2 - 98\/5 - 28\/5*l.\nAnswer: -2*(l + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -15252*m**3 + 5047*m**2 - 42*m. Let y(l) = -15245*l**3 + 5046*l**2 - 48*l. Let k(u) = -8*g(u) + 7*y(u). What is the third derivative of k(x) wrt x?\nAnswer: 91806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -316, -310, -304, -298, -292?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 + 5*t. Let n be ((-1)\/(-3))\/((-3)\/(-27)). Let f(w) = w**2 - n + 3 - w + 0*w**2. What is -5*f(z) - s(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3455198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 28*y - 45. Determine i(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 8, h: 4, n: 1, j: 1}. Give prob of picking 2 h and 2 g.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8096932 - -8097398.9811. Let l = -467 + a. Round l to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:46 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 438 or 877\/2?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2085.4809 minutes?\nAnswer: 1.448250625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*1*(-8865)\/(-10047)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 2*t)*(-3 + 0 + 5)*((4*t + 0*t - 2*t)*(-4*t - 6*t + 3*t) - t**2 - 3*t**2 + t**2).\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.94593 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u. Let h(n) be the second derivative of -7*n**3\/6 - 6*n - 7. Calculate s(h(g)).\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5506526 and 10.\nAnswer: 27532630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i + 5*i - 5*i)*(-i + 4*i - i)*(-2 + 2 + 4 + (1 - 2 - 2)*(-3 - 3 + 5)).\nAnswer: -294*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -73, -89, -105, -121?\n\"Answer: -16*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + d. Determine b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/186 and 35\/18?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + (sqrt(288) - (sqrt(288) + 1)))**2 - sqrt(288)) + -5 - (-2 + 1 + sqrt(128))**2)*-5.\nAnswer: -775 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 17, -15, -81, -193, -363?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 32. Let l be n(-10). Suppose 4*h + l = -10. Let w be 8 + -7 + (-4)\/((-6)\/h). Let i(c) = 7*c + 2. Let q(k) = -k. Calculate w*i(t) - 3*q(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -27. Let d = 27 + g. Let b = d + -10.8. Is -0.2 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/109 + 8 + 2 + (-71)\/(-74) - 11.\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 46 = -5*v + 3*g, 0 = -5*v - g + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3*(z*z*z**(1\/7)*z)\/z*(z**(2\/7)*z)\/(z\/(z\/(((z*z**(-1\/3)*z*z)\/z)\/z))) assuming z is positive.\nAnswer: z**(121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-1)\/(20\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (295958\/147978 - 2)\/((-6)\/18). Let b = 128787\/213746 - i. What is the common denominator of 85\/6 and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1992, 3345, 4052, 4113, 3528, 2297, 420?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -2)*(1 + -3). Let n(t) = -t**3 - 21*t**2 - 19*t + 37. Let s be n(-20). Let l = s + w. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 35. Let j = v + 31. Let w = j + -13. Sort 0, w, 0.4 in descending order.\nAnswer: 0.4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -108?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 15 + -15 + (-1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1261002, -2522009, -3783040, -5044107, -6305222?\nAnswer: -7566397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (376\/(-2))\/(-2)*1. Suppose z = d + 2*u, -198 = -3*d + d + u. Suppose -q + y - 4 = -16, -4*y + 8 = 0. What is the highest common divisor of d and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 4. Let f be x(8). Suppose 0 = -2*l + f*l. Suppose l = -3*d - 0*d - 3. Which is smaller: d or -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47551 and 336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -8*d + 218. Let z(t) = -3*t + 43. Suppose 3*q = -g + 20, 4 = -4*q + 5*g + 56. Let u be z(q). Calculate the greatest common divisor of u and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126131273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + 0 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -6. Let s be ((-1)\/n)\/((-1)\/(-177)). Let b = s + 38. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 407897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27523 divided by -34.\nAnswer: -1619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g + 12, 2*g + 10 = b. Find the first derivative of -13*y**2 + 5*y**b + 57 - 59 wrt y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8671 (base 11) to base 4.\nAnswer: -2302330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -5343?\nAnswer: 5341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a hour in seconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -185)\/((-60)\/(-1590)). Find the third derivative of 87*j**5 - v - 64*j**2 + 4929 - 8*j**2 wrt j.\nAnswer: 5220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**2 - m**2 + 4*m**2 + 2*m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*v - 11 = 21, -3*r + 32 = -10*v for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 + 3*v**2 + 3*v + 1. What is the remainder when 14 is divided by c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 24. Suppose -5*m + 3*s = -2*m + 60, -3*m - n*s - 66 = 0. Let v = -10 - m. What is the least common multiple of v and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2116, 2090, 2016, 1870, 1628?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmckccmacpicpmappppp. Give prob of picking 1 p, 1 i, and 2 m.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:33 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2306.7033566 - -2306.7. What is i rounded to five decimal places?\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102792449 divided by -102792449.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 7*b + 3. Let f be x(7). Suppose f*q + 20 - 110 = 0. Suppose 0*a = 3*a - q. Calculate the highest common factor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14907, 29804, 44691, 59562, 74411, 89232?\nAnswer: 104019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1413002*d + 1412964*d + 1412998*d - 4239015*d.\nAnswer: -51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12499 + 12499 + 558*z + (z - 4*z + 4*z)*(3 - 5 + 4) to w*z + x and give w.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from xxeheexeeexxxee?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2\/4)\/((-52)\/104).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 2000203011313?\nAnswer: -2000203011231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123888 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.001201 or 1?\nAnswer: -0.001201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*j + 2*j - 107013 = -110997 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 + 12*a**2 + 5*a - 5. Let g(h) = 9*h**3 + 11*h**2 + 4*h - 4. Let u(j) = 5*g(j) - 4*i(j). What is the third derivative of u(y) wrt y?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -9b?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15*b**2 - b + 1. Let r = 19 - 18. Calculate q(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -768.35102 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -1. Let t = 202 + m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 - 14 = -2*c, -4*c - 4*k + 16 = 0. Solve 5 = -4*i - z, c - 4 = -z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.603125 months to decades.\nAnswer: 0.013359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0 - 1\/6*p**3 - p**2 + 1\/4*p**4 + 1\/120*p**6 - 1\/12*p**5 + 0*p. List the prime factors of q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 15, 3*v + 20 = -2*i + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.928 - -0.072. Let d(s) = s. Let o(v) = 7*v - 2. Let m(r) = 6*d(r) - o(r). Let p be m(6). Which is the third biggest value? (a) 0.2 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4421*r - 4 - 17422*r + 4 - 7328*r as g*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9279 is divided by 9241.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171676572 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 941 and -15.13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*(w\/w**0)\/w)\/(w\/(w*w**5\/w)*w*w**(1\/9)) assuming w is positive.\nAnswer: w**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2898 + 2967. What is the remainder when 219 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 25158315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/85)\/((-255325)\/24803)?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dai when three letters picked without replacement from {o: 3, d: 3, i: 2, a: 1, k: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*m - 2*h, -5*h = 19*m - 23*m - 44 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g**3 - 3*g - 16. Let l(m) = -77*m**3 + 17*m + 95. Let i(x) = 6*l(x) + 34*s(x). What is the first derivative of i(y) wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 2\/11, -169, 3 in decreasing order.\nAnswer: 4, 3, 0.4, 2\/11, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -944725910, -1889451821, -2834177732, -3778903643?\n\"Answer: -944725911*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*j**2*n**3 - 2*j*n**3 + 108*j*n - n**3 + 121*n**2 + 3 wrt j?\nAnswer: 86*j*n**3 - 2*n**3 + 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 10 = 36*w, 4*w + 23 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4 - (-799)\/119 - 3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/(-1692) + 2\/90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472279.6 centuries to millennia.\nAnswer: 47227.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1073 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 6*q + 8. Let k(g) = -3*g**2 + 18*g - 23. Let f(r) = -8*j(r) - 3*k(r). Let l be f(6). Solve -4*z + 1 = l, 5 = -4*c + 3*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a factor of 4877726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 4*t**2 + 5*t**2 + (-1 - 1 + 0)*(0*t**2 + t**2 - 2*t**2))*((2 - 2 - t**2)*(-5*t + 2*t + 4*t) + 3*t**3 - 3*t**3 - t**3).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 - 143.145. Let b = i - -0.145. Let a = -124 - -1366\/11. What is the closest to -2\/5 in b, -3, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 48*u**3 - u**2 + 6*u - 12. Let y be d(2). What is the highest common divisor of 608 and y?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2\/4 - 186797*m\/4 - 37359\/2 = 0.\nAnswer: -37359, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**8\/112 - 179*b**7\/70 + 361*b**6\/40 - 181*b**5\/20 - 282*b**2 - 4. Let v(w) = 0. Calculate w.\nAnswer: -181, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 724896 - -82?\nAnswer: 724958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 78 = -8*t. Solve 0 = c - 3*c - t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336336 and 7546.\nAnswer: 2354352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1369\/2 - 1\/2*k**2 - 37*k.\nAnswer: -(k + 37)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1953819 and 79269228.\nAnswer: 554884596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, 2, -358, 5, -5, -3 in decreasing order.\nAnswer: 205, 5, 2, -3, -5, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 6*p + 5. Let f be v(6). Suppose 0 = -f*a + 17 - 62. Let o be 930\/(-120) + (-5)\/4. Is o <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = -k, -3*k - t + 4*t = -75. Let f = k + -32. Let i = 16 + f. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:33 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4894 - -498.4?\nAnswer: 5392.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.235 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1397*s**2 + 6*s - 3. Is w(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 4. Let s(l) = -9*l**2 - 3*l. Let n(b) = -b. Let o(w) = f*n(w) - s(w). What is the least common multiple of 6 and o(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*r = 803 - 97 + 8 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060024 to five decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722393339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66667 is divided by 4444.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -2\/9, -3, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -136. Suppose 37 = 2*n + 5*h, f = 4*n + 6*h - 3*h. Solve 0 = -2*c + 18 - n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9987 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*p - 27. Let r = 4 + p. Suppose 0*g - 5*j = 2*g, 2*g - 2*j = 0. Solve -2*i = -r - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 596, 1, 0, -402 in increasing order.\nAnswer: -402, 0, 1, 596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62552812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 6. Let q be y(7). Let d = -10 - -13. What is the units digit of d\/3 - (q + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5\/17 - 74*c**4\/17 - 240*c**3\/17 = 0?\nAnswer: -3, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16261 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3626*z - 9514*z + 3856*z)*(2 + 2*z**3 - 2) + z**4 + 3*z**3 - 3*z**3.\nAnswer: -4063*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3472*s - 3412*s - 72720 = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950537 rounded to the nearest 10000?\nAnswer: 3950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - -118.8. Let i = 111.9951 - g. What is i rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651, 1303, 1977, 2685, 3439, 4251, 5133, 6097?\nAnswer: 7155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-583)\/106*-8*20\/110\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {l: 2, u: 12, j: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 5. Let l be x(0). Suppose -l = 4*u - 29. Let p be (-3)\/u + 25\/20. Do 1\/4 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.2224 litres in millilitres?\nAnswer: 606222.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000653679 rounded to 6 dps?\nAnswer: 0.000654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.06 - 0.06. Let j = 1.1 + 0.4. Let s = j - u. Put s, 1, -2\/9 in decreasing order.\nAnswer: 1, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308 divided by -4.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 859, 6973, 23573, 55903, 109207, 188729, 299713?\n\"Answer: 874*z**3 - z**2 - z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 40. Let n = h - 22. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 37888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5247065533 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9416 and 684479?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3609, 3665, 3723, 3783, 3845, 3909, 3975?\n\"Answer: f**2 + 53*f + 3555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483198430 rounded to the nearest one hundred thousand?\nAnswer: 1483200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - 0.2. Let n = l - -6. Let z = 3 - 2. Which is the smallest value? (a) -2\/3 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 771316 divided by -2\nAnswer: -385658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 less than or equal to -28129\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*f = 84*f + 117. Put f, -1, 5, 0 in decreasing order.\nAnswer: 5, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/6*(-57)\/197505*-77.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:03 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 208. Solve -22*d = -31*d - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 5*z - z, -3*z + 2*j = -8. Suppose 2*a - 5*x - 141 = 0, 51 = a - z*x + 4*x. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = 5*i - 50, 4*i - 5 = 3*s. Suppose -25 = s*n - 3*j + j, 2*n + 4*j = 14. Let d be n\/(-6)*(0 - -2). Solve 13 = 3*b + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (503 - -6) + (-5 - 15)\/(-5). What is the greatest common divisor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5\/3 - 152*t**4\/3 + 1508*t**3 - 7216*t**2\/3 - 28592*t\/3 - 5568 = 0. What is t?\nAnswer: -58, -1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527407*s**2 + 24 - 1054813*s**2 + 527409*s**2 + 26 - 50.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 3*z = 41*j - 2536, -2*j - 6*z + 976 = 0. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 4174456796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-180)*-2)\/((-1)\/10)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q. Let j(s) be the third derivative of s**8\/20160 - 19*s**5\/60 - 9*s**2. Let i(d) be the third derivative of j(d). Calculate m(i(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 242 = 250. Suppose -a + 273 = -y*l - 181, 3*l = a - 451. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)*4 + -4. What is the remainder when (2 - s) + 1 - 6 - -47 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/(77*119\/(-73304)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.97 + 817.97. Let x = -816 + q. Which is the smallest value? (a) -0.3 (b) x (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*-5*sqrt(2240)\/sqrt(7).\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/66 - 3*x**3\/11 + 8*x**2\/11 + 3*x + 174. What is z in f(z) = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v + 112. Let k be j(4). Differentiate 93 + 48 + 17*g**4 + k*g**4 wrt g.\nAnswer: 420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59335 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*2133\/(-54))\/((104\/32)\/(-13))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5595098 and -0.18.\nAnswer: -1007117.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255500?\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 492 + 21b7a?\nAnswer: 22450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 27. Let h be r(7). Suppose -5084 = -h*f + 11938. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2669 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 23 = -z, -4*z + 64 = -9*x + 8*x. Let c(v) = 414*v - 93. Is c(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 40*k**2 - 14*k - 76. Is b(-5) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 0*t - 3*t + (59*t + 30*t - 15*t)*(3 - 1 - 1).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1976.\nAnswer: 3\/1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n + 121. Determine s(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**3 - 3390*x**2 - 65*x + 36721. What is a(565)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (142\/28)\/((-1)\/10). Let u = a - -51. Sort u, -3\/7, 0.04 in decreasing order.\nAnswer: u, 0.04, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9977546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11e55a (base 15) to base 4\nAnswer: 3101211130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -1400463.495?\nAnswer: 1400463.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32778.24 minutes to nanoseconds.\nAnswer: 1966694400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = -4*f + 12*i + 58, -32 + 96 = 2*f - 6*i for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 3. Let w(x) = -x**3 + x**2 - x - 8. Let k be w(0). Let r be o(k). What is the highest common divisor of 40 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 518*r**2 + 112*r - 112. Let v(b) = -23*b**2 - 5*b + 5. Suppose -4*u + 101 = 549. Let d(a) = u*v(a) - 5*f(a). Let o(j) = -2*j**2. Calculate o(d(z)).\nAnswer: -392*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 960\/(-40) + (0 - 491). Which is the second smallest value? (a) -0.2 (b) 1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2283a6a - -5?\nAnswer: -2283a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 0 (c) 664 (d) 0.3 (e) -1 (f) -4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87163 - 1208126.\nAnswer: -1295289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485 is divided by 73?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32808 - -33985. Put -5, 3, n in descending order.\nAnswer: n, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6039 and 1611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c**2\/4 - 1178607*c\/4 + 103995\/2 = 0.\nAnswer: -69330, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 10:24 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1, 4*u = 6*h - 7*h + 423. What are the prime factors of h?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2952 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*f**3 - 5*c**2*f + 14*c**2 - 90*f**3 + 2*f**2 wrt f.\nAnswer: 6*c**2*f - 540*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 8291 = 8376 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - 47. Calculate u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l + 70. Suppose -1 - 1 = -w - 2*t, 2*w = -3*t + 3. Let c be d(w). Calculate the highest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321002*j**3*r**2*v + 11*j**3 - j**2*r**2 - 2967288*j*v wrt j.\nAnswer: 1926012*r**2*v + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**2 + 2*h - 9*h + 6*h + 162*h**3 + 3*h**2. Let a be i(4). Round a to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ca - -7?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22131002331 + -4?\nAnswer: 22131002322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5019792 or 5019791?\nAnswer: 5019791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(3\/2))*y)\/(y\/y**(2\/7)))**(-49)*((y**(-2\/7))**(-9\/11))**(2\/43) assuming y is positive.\nAnswer: y**(-903831\/6622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 61 + 39)*(4 - 2*q - 4).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 621?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21304 + a + 21304.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400218 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 10*b + 21. What is the remainder when u(-11) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 14\/193, -0.4, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.2623 rounded to one dp?\nAnswer: -88.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 5, -5 in ascending order.\nAnswer: -24, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69526 - -160157. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 5*h - 6*p, 0 = -2*h + 3*p - 23*p + 83 + 35 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -2. What is the common denominator of 13\/14 and c\/2 + 8\/(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(2 + (sqrt(28) + sqrt(1372) + sqrt(1372)*-2)\/(sqrt(16)*-1) + 4) + 4.\nAnswer: 41 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8526*f**4 - 7120 wrt f?\nAnswer: -34104*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -114\/91, 3, 1621 in descending order.\nAnswer: 1621, 3, -2\/9, -114\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49008, 48969, 48930, 48891, 48852, 48813?\n\"Answer: -39*j + 49047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (15*30\/40)\/((-2)\/(-392)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635454708?\nAnswer: 2, 3, 7, 191, 39607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and -8\/1647.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1245 (b) -2\/105 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - q + 5*q + 33, -9521*j + 4*q + 47 = -9516*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 50, 74, 96, 116, 134?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Suppose 0 = 3*q + 2*q - 20. Suppose 0 = -3*d - q*n - 16, 0 = -d - 0*n - n - 4. Suppose 5*m - 1 = -z - d*z, 14 = -4*z - 2*m. What is p(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -79.75 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3346419*w**3 + 51*w**2 + 665607198*w.\nAnswer: -20078514*w + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9419 or 9416?\nAnswer: 9419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310098347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**2 + 23*h**2 - 6*h**2)*(17*h - 6*h + 2*h + (-2 + 0 + 1)*(-h - 5*h + 4*h)).\nAnswer: 435*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 - 286\/396.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 578881.2ml?\nAnswer: 578.8812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v - 5. Let a be b(0). Let h(x) = 0 - 9*x + 1 - 7*x + 19*x - 4*x. What is h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296540172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64, -267, -606, -1081, -1692?\n\"Answer: -68*b**2 + b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232 + -230 - 2317*4\/(-2)?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -100026?\nAnswer: -100031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39617993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, x: 5, b: 5}. What is prob of picking 2 e?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2392766 - 1083.\nAnswer: -1082.7607234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let q be (30\/(-35))\/((-6)\/28). Let v(s) = 78*s**2 - 5*s + 73. Let b(p) = q*y(p) - v(p). Differentiate b(r) wrt r.\nAnswer: -156*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -6600574?\nAnswer: 6600574.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -2568.\nAnswer: -2568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 22?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 41*x - 278. What is the thousands digit of q(-43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -13, -552 in descending order.\nAnswer: 5, -1, -13, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120220313 (base 4) in base 5?\nAnswer: -211343401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)\/v*v\/(v*v*v\/v**17)*v*(v**(-4))**47)**29 assuming v is positive.\nAnswer: v**(-5249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 71 + 46 - 15*m**2 - 9*m**2 + 18*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2\/5*c**3 - 48\/5 - 4\/5*c + 2*c**2 = 0?\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + n = -4*n - 304010, 607990 = 4*j + 5*n. Suppose 5*m = m + j. Round m to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 1. Let w(k) = -k + 12. Let i be w(11). Let y be r(i). Solve y*h - 22 = -2*h + 2*m, -m - 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 164, 19181, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -24351956\nAnswer: -7305586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22841013 divided by -1833.\nAnswer: -12461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 108, 424, 942, 1662, 2584, 3708, 5034?\n\"Answer: 101*s**2 + 13*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105223 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33603 - 33692. What is the nearest to 0 in v, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 7:05 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 12*a**2 + 12*a - 23. Let c = -34 - -23. Let z be k(c). What are the prime factors of (-2091)\/z + (-3)\/2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68 - (-118 + 129)) + 1 + -22?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m**2*o**2 + 5*m**2 + 42310*m*o**4 - 2*m - 1790 wrt o?\nAnswer: -6*m**2*o + 169240*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.2886.\nAnswer: -0.1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -728, -1, 0.05, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5352301 (base 6) to base 7.\nAnswer: 2145412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1455 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p - 25*p - 37*p + 120*p - 34*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose 0 = 22*o - 17*o - 55. Calculate the remainder when o is divided by c.\nAnswer: 2","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 {g: 13, d: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548620 = -47224*d + 47204*d. List the prime factors of d.\nAnswer: 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 4. Let i be c(-5). Is i equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.93 at least 423\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10583, -11244, -11905?\nAnswer: -12566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*(o**19\/o)\/o*o))\/o)\/(o\/(o*((o\/(o*o**5\/o)*o*o)\/o)\/o*o)))\/(o**(-1\/5))**12)**(3\/4) assuming o is positive.\nAnswer: o**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and -2.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23205027997 and -5922.\nAnswer: -23205033919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 3*k**5\/5 - 59*k**4\/4 + 4*k**3\/3 - 1855*k - 3961. Differentiate l(u) wrt u.\nAnswer: 12*u**3 - 177*u**2 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 872 = 12*o. Calculate the smallest common multiple of 387\/o*8\/6 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(((t**(-12)*t*t*t)\/t*t)\/t)*t\/t**(-12)*t)\/(t**(-2\/13)*t)**10 assuming t is positive.\nAnswer: t**(241\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80636324798.9857 - -80632914006. Let z = t - -3411121. Let x = z - 328. Round x to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24891?\nAnswer: 3, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 6. Let y be 44\/6 - 31\/93. Let x(s) = 3*s + 7. Let n(i) = y*p(i) + 6*x(i). Let l(h) = 6*h. Give n(l(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1\/692 (c) -1\/6 (d) 0.5 (e) 16.2 (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*w + 2*w + 7, 3*w = -12. Solve m + 5 = r, 0 = -5*m + b*m - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4 - 2 + 5 - 4*v - 3. Suppose -5*r - 32 + 2 = 5*q, 0 = 2*q - 4*r + 30. Let w be d(q). Calculate the greatest common divisor of 100 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6 + 9*j - 5 - 4*j. Let v be q(3). Solve 3*b + 3*u = -b - 17, 0 = v*u + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.57 + 0.47. Let k = 24 - 22.1. Let i = k - q. Is -1 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -18*k - 24. Let n be x(-8). Calculate the least common multiple of 22 and 48\/n + (1 - 766\/(-10)).\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6089533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.001 + 11.999. Let z = 32 + y. Let h = z - 44.018. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 8\/99, -286.6, 2?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2\/7 - 30*d - 3652\/7 = 0.\nAnswer: -83, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 365200 and 292160?\nAnswer: 1460800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11419 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*r + 47*r + 64. Is 178\/11 - r\/(-352) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/4 - 3*a**2\/2 - 27*a. Let k(u) = -5*u**2 + 7. Let r(o) = -7*h(o) - 4*k(o). What is r(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 - 4*h + 6. Let n(t) = -t**2. Let a(w) = -k(w) + 4*n(w). Determine a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 12*x**2 - 18*x + 1. Let f be m(13). Let q = f + 75. What is the highest common factor of 44 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 672?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41087282 is divided by 41087237?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11651375 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7594 to the nearest 100.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -566422, -566394, -566366?\n\"Answer: 28*h - 566450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1. Let t(x) = 2*x - 40. Calculate 4*a(z) - t(z).\nAnswer: -2*z + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**5 + 6*m**2 - 2*m - 1. Let h(k) = -12566*k**5 + 284*k**2 - 4*k - 2. Let x(t) = -h(t) + 2*s(t). What is the third derivative of x(v) wrt v?\nAnswer: 754680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + -7.82. Let v = m - -8.1. Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 8. What is the units digit of -3 + 1 + z + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (1 - (-3 + -11)) - 0. Suppose 0 = -2*p + 3 + 1. Solve 2*v - n = l, 0*v + p*v - 23 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-165))\/(-1)*300\/(-20)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 = -5*m. Let q(z) = -1641 + z + 0*z - 5*z + 1643. Calculate q(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*f + 417*f + 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2648*d**2 - 353*d + 722. What is the derivative of y(m) wrt m?\nAnswer: -5296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47816132743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210021 - 1?\nAnswer: -210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o + 3*g - 393, 3*g - 15 = 0. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 12940*b - 3 - 12934*b - 12937*b + 38807*b.\nAnswer: -4*b + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6*l*l*l**(-3\/10)*l*(l\/l**(-4))\/(l\/(l*l**6)) assuming l is positive.\nAnswer: l**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 21*d + 3. Let o(x) = x - 1. Let n(g) = -m(g) - 5*o(g). Let p be n(-16). Which is the second smallest value? (a) 10 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, -85, -280, -543, -868, -1249, -1680?\n\"Answer: y**3 - 43*y**2 + y + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 427 and 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 198\/(-7) - (-8*(-63)\/(-168))\/(-14)\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = n - 170, 0 = n + 5*s - 2*s - 158. Let w(t) = 0*t + 6*t + 0*t - n + 172 + 2*t**2. What is the hundreds digit of w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3))\/((-3)\/(-27)). Which is the closest to 3? (a) t (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64\/3? (a) -1.8 (b) -0.3 (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/24 + (-1)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 561 - 562. Which is the closest to 7? (a) -2\/7 (b) 5 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0061 and -3.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-20)\/10)*(-4)\/9. Sort 0.22, 5\/3, c, 9 in ascending order.\nAnswer: c, 0.22, 5\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -11*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdf when three letters picked without replacement from {n: 2, d: 1, z: 1, f: 1, r: 2, p: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*h + 128 = 0, 0*i + 5*h + 14 = i. Let x = -17 + i. Let k(g) = 5*g. Let l be k(1). Solve -4*a - 4 = -2*m, -2*m + x = m - l*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 8139 = 5631 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(112)*-6 + 5*(-1*sqrt(7))**2*-5.\nAnswer: -175 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -31*h + 13 + 16, -3*h + 2 - 12 = -c - 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-650)\/61360*59)\/(10\/(-76)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 2939, 4371, 5801, 7229, 8655, 10079?\nAnswer: 11501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7 + 82\/14 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 7 + 0 - 3*t**2 - 2 to r + v*t**2 + i*t and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/28*24\/(-9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(866 - 866 - 118*q - 398*q) to l*q + g and give l.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*i**2 - 6*i + 113*i**2 + 19*i - 15 - 18.\nAnswer: 2*i**2 + 13*i - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 65640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27951.006 and -0.1.\nAnswer: -2795.1006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 513? (a) 5\/2 (b) -10949 (c) -0.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9120 - 1807. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3)*(617 - 619).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152218887115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -100 in 16\/7, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 18*q - 2*w + 14, 0 = 7*q - w - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**8\/336 - 469*u**6\/40 - 13*u**5\/60 - 37*u**4\/24 - 1314*u**2. Find the third derivative of c(g) wrt g.\nAnswer: -60*g**2 - 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = -0*o. Suppose -o*u = -u - 1890. Suppose -6*n - n + u = 0. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 12. Let z(x) = x + 7. Calculate the remainder when z(n) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 178904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -2141*z**5\/20 + 125*z**3 + 2*z**2 + 2273*z. What is the second derivative of o(q) wrt q?\nAnswer: -12846*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320.8962 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 941, 3397, 8141, 15935, 27541?\n\"Answer: 127*r**3 + r**2 + 38*r - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53924000 or 0.05?\nAnswer: 53924000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 - 7320*x + 29232 = 0. Calculate x.\nAnswer: 4, 2436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 4*y - 11, -2*l - 5*y + 2*y - 13 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -292, -295, -302, -313, -328, -347, -370?\n\"Answer: -2*g**2 + 3*g - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 17 = a, 398*a - 4 = 397*a + 4*k for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 4\/3, -44804329?\nAnswer: -44804329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2. Let l(u) = 423*u + 3. Determine g(l(q)).\nAnswer: -536787*q**2 - 7614*q - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216356296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -5*u**3\/3 + u**2 - 13*u. Suppose 786*v - 782*v - 4 = 0. Determine x(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 85?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-14) + 145\/70. Find z such that -1 + z**2 - b*z = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.409 - -5.359. Suppose -d + 5*h + 19 = 0, d + 2*h = 1 - 3. Which is the second biggest value? (a) d (b) k (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36153.2*2.\nAnswer: 72306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y = 584 + 4 + 600 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4686727ml?\nAnswer: 0.0004686727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.99 and -15.953343373?\nAnswer: 22.943343373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62701 in 2, -5, 0.3, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d97 (base 15) to base 5\nAnswer: -44232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -75. Let f(h) = -h + 29*h**2 + h - m*h**2. Let a(l) be the third derivative of -l**4\/12 - 2*l**2. What is a(f(i))?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -3818\/2211 in descending order.\nAnswer: -2\/7, -3818\/2211, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*3 + -5)**2 - (sqrt(104)\/(-2*sqrt(8)*-6))**2.\nAnswer: -240*sqrt(13) + 1081859\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*h + 16, -2*j = -j + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29879636*w**5 + 51*w - 70054.\nAnswer: -597592720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 + m + 1. Let h(b) be the first derivative of 22*b**3\/3 + 26*b**2 + 2*b + 6. Let w(v) = -h(v) + 2*u(v). Factor w(a).\nAnswer: -2*a*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -4*h, 0 = k + 2*h - 19 + 1. Suppose 2*a + k*a = 1010. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31323953 is divided by 31323934.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245121 + 651302. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44577600 rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 274*b**3 - 74*b**2 + 6*b - 6. Let n(c) = 5*c**2 - c + 1. Let l(s) = -6*n(s) - w(s). What is the third derivative of l(t) wrt t?\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 5*d = 4*t - 5, 3*t - 9 = -d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3 + 419310*a**2 + 9224094*a + 50731186 = 0.\nAnswer: -209633, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/428 (b) 1\/3 (c) -2\/5 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 56*b + 251. Calculate the remainder when l(0) is divided by 4 + (-21 + -1)\/(-2 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z. Let x(r) = 15*r**2 - r. Calculate x(k(w)).\nAnswer: 735*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*a**4 - 2*a**3 - 97086*a**2 - 13170536*a?\nAnswer: -300*a**2 - 12*a - 194172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:36 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from abhuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*d - 238*d - 117 = 0. Solve 2*r + 5*n = -0*r - d, -2*n = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7155.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 19082.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1822.64 + 1784. Let s = j - -38. Let i = s + 0.64000069. What is i rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Let s be 1\/(-1) - 0\/(-7). Let u = s + 3. Solve 0 = -p + h + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + (-138918)\/108. Let b = -11536\/9 - r. What is the common denominator of b and -89\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148566 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5605773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-7 + 4) + 49853562. Suppose 2*u - 3946434 = a. What is u rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2977583.\nAnswer: 7, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2637, -3082, -3527, -3972?\nAnswer: -4417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s, 5*r + 6*s = 7*s + 10. What is the first derivative of 56*n**r - 113*n**2 + 56*n**2 + 16 + 78*n**3 wrt n?\nAnswer: 234*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-25)\/44 - 2\/8. Which is the biggest value? (a) 0 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(11) + 3 - -3*sqrt(11)*4) + ((sqrt(1100) + -2)*6 - (4*(sqrt(1100) + -1 + sqrt(1100)))**2))*3.\nAnswer: -211287 + 2139*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8*2 - (-360)\/3744?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - b57734?\nAnswer: -b57732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = -4*v, -2*v + 2*z = -27 + 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1)*17\/34. List the prime factors of (-5 - (1 + i)) + 242.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -5, -15, -1\/4, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - 12*g + 6. Let o(n) = 14*n**2 - 37*n + 17. Let x(w) = 4*o(w) - 11*z(w). Let u be x(16). What is the highest common divisor of u and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**3 - 3*r**2 - 12*r - 80. Let g be s(-9). Is g\/2 + (13 - 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3936*w. Let n(s) = 15*s. Calculate n(r(k)).\nAnswer: -59040*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-12))\/(-180 + 190)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**2\/3 - 1000585*c + 750440\/3.\nAnswer: -5*(c + 150088)*(4*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2923 - -2.254. Which is the nearest to y? (a) -5 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*f**3 + 2*d**2*f**2*k - 9*d**2*f*k + 2*d*f**3*k - 3*d*f**3 + 2*d*f*k wrt f.\nAnswer: 6*d**2 + 12*d*k - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1 - 0)*216. Suppose 2*k - 6 = -2*d, 23 = k - d - 2*d. Suppose k*z - j = 2*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from {x: 3, n: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 3*s + 2*s**2 + 6*s. Let x(j) = -j**3 - 2*j**2 - 3*j. Let f(u) = -3*v(u) - 4*x(u). What is the third derivative of f(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5640615)\/1410155 + 4)*-1. Let l = t - -654312109\/53303859. Let u = l - 388\/27. Find the common denominator of u and 31\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 52*t = 2534. Let b = t - 190. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -5*i + 17 + 13, 0 = -248*h + 251*h + 2*i - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -20. Is 2*(-3 + 133\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**31*(m\/(m**(-2\/3)\/m))**(-20\/3)*((m\/(m**(-2)*m))\/m*m)**15*((m\/(m**(-2\/9)*m))\/m)**27 assuming m is positive.\nAnswer: m**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 + 5*l + 30. What is n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*m**4*p + 2*m**4 + 20356*m**3 + 599370*m**2*p + m**2 - 2*p wrt m?\nAnswer: 744*m*p + 48*m + 122136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0*m**2 + 4 - 1 + 6*m**2 - m**3 - 9*m**2 - 4. Give t(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30972*o**2*z**3 + 95*o**2*z**2 - 3*o**2*z + 2*o*z**2 + 6*o wrt z?\nAnswer: -185832*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-12)\/(-8))*30. Suppose 3*g + 29 = 2*w + 4, -3*w = -x. Do g and -9\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + o**2 - o - 3. Let k(r) = 464*r**3 + 2*r**2 - 2*r + 525. Let d(g) = -k(g) + 2*t(g). What is the first derivative of d(a) wrt a?\nAnswer: -1404*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 + 440 = 5*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 24*u**2 - 5*u + 104. Let c be o(8). What is the highest common factor of 64 and c?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 2*g**3 - 6*g**3 + 2*g**2 - 9*g**2 + 12*g**4.\nAnswer: 4*g**2*(g - 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 1668878\/171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(567) - (-1 + sqrt(567)*-1) - (-1*sqrt(567) + 0)))*-1 + -2)**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141276 and 42.\nAnswer: 988932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115155 + 31237336.\nAnswer: 31122181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1355958 and 10082.\nAnswer: 96273018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3668, -7337, -11016, -14711, -18428, -22173, -25952, -29771?\nAnswer: -33636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -54*k**2 - 45*k - 1. Let p(i) = -109*i**2 - 92*i - 2. Let u(b) = 3*p(b) - 5*y(b). What is the second derivative of u(l) wrt l?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 2*g. Let u be 4\/(-16)*g\/(-3). Let q = -0.0371 - 0.0629. Which is the third biggest value? (a) u (b) -0.5 (c) 1\/8 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 36 - 33 = 0. Suppose -n = g*d + 4, -7*n = -2*n - 4*d - 56. What is the highest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from kcbqcbbccbcqqtkccqft?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2277)\/1265*(-6)\/(-81)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4590 divided by -3\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50266 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**5\/2 - 415977*x**4\/2 + 415971*x**3 + 3*x**2 - 831945*x\/2 + 415971\/2 = 0?\nAnswer: -1, 1, 138657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 13*m**4\/24 + m**3 - 3*m**2. Find the first derivative of n(g) wrt g.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4*u**2 - 5553823*j**4 - 765728*u**2 wrt j.\nAnswer: -4*j**3*u**2 - 22215292*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1768468560 - -0.14.\nAnswer: -1768468559.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 928\/1044*(-15)\/(-4)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462958 is divided by 231389?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 11*n**2 - n - 4. Let y be p(-11). Solve -5*f - y = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091275?\nAnswer: 5, 43651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 - h - 1. Calculate the least common multiple of 4 and y(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2627036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*v + 5*v - 4*v)*(-1 - 3 + 2) + 2*v - 7*v - 4*v)*(5 - 2 - 1) as i + t*v and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 0.208, 2, -9, -0.33 in ascending order.\nAnswer: -9, -0.33, 0, 0.208, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.6314791 seconds?\nAnswer: 0.043857985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 21609*m - 43230.\nAnswer: 3*(m - 7205)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 14. Suppose -3*h + 3*z + 15 = 0, 3*h - 5*z - i = h. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h + 18 = 0. Let t(r) = 4*r + 2. Let a be t(2). Let g = h + a. Solve -2*x + 3*y - 5 = -g*x, 0 = x + 2*y - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226929?\nAnswer: 3, 67, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-25)\/(-1110)*1\/(30*(-13)\/624)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 9*a**2 - 19*a - 18. Let r be b(11). Let k be (-4)\/(-8) - (-19)\/2. Suppose -r*i + 50 = -k*i. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5*x**4\/4 + 10*x**2 + 352. Factor z(f).\nAnswer: -5*f*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 311.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 7*a**2 + a - 4. Suppose -2*f = -2*g + 16, -f + 0 = -3*g + 14. Let s(q) = 11 - 3 + 18*q + 0*q**2 + 3*q**2. Let p be s(f). What is d(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044695 (base 10) in base 13?\nAnswer: 2a7682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -45 - 4\/(-1). Let s = 43 + a. Suppose 2*i = 2*c + 10 - 0, 25 = i - s*c. Solve i = 4*m - f + 3 + 2, 0 = -2*m + 3*f + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 7*l + 1. Suppose 0 = -2*p + 5*s - 298, 2*p - 4*s + 250 = -50. Let b = -157 - p. Determine q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.215 - 0.11\nAnswer: -0.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3810 = 2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssshsshsh. Give prob of picking 1 h and 1 s.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/18 and -19\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040403520 (base 6) in base 10?\nAnswer: -11229384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -36*m**2 + 22*m. Let i(c) = -13*c**2 + 8*c. Let v(g) = -11*i(g) + 4*u(g). Let o(t) = -1249*t. Calculate v(o(d)).\nAnswer: -1560001*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42219 - 6854 = 164*y - 27939. Calculate the remainder when y is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, 3 in ascending order.\nAnswer: -29, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -4, 1, 5179, -8 in descending order.\nAnswer: 5179, 9, 3, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 4 - 2, v = 4*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/(-1))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 0.2, 32, -8 in ascending order.\nAnswer: -8, -3\/11, 0.2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**5\/20 + 5*t**2 + t - 5. Let d(j) be the first derivative of l(j). List the prime factors of d(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 527 - 14. Let n = -10082573\/4320 - -455511\/160. Let i = n - y. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065566 to the power of 1\/2, to the nearest integer?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 107409*t**2. Let v(k) = 7156*k**2. Give o(v(f)).\nAnswer: 5500236161424*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12304 is divided by 400?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/(-5)*(-2 - -3)*-1. Suppose -2*y = 3*a - x, 2*y - 2*a = -0*y + 34. Calculate the smallest common multiple of y and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-2))\/(-5 + (-119)\/(-21)). Calculate the least common multiple of m\/2*(24\/9)\/4 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u + 255. Let x(z) = 13*z**2. What is t(x(d))?\nAnswer: 143*d**2 + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1595 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/24 and 127\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4394 + -4410. Let m(r) = -9*r - 139. What is m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + 3 - (-23 + 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.9 - -11. Which is bigger: 60 or z?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 8351*r**4\/4 + 183055*r**3 + 555947*r**2\/4 - 46155*r = 0. Calculate r.\nAnswer: -2172, -1, 0, 1\/4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-6)*(-72)\/(-42). Solve a*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12553 and 9100925?\nAnswer: 9100925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + u)*(-3*u**3 - 5*u**3 + 4*u**3 + (3*u + u - 5*u)*(5*u**2 - u**2 - 2*u**2) + u - u + 3*u**3) - 3*u**4 - u**4 + u**4.\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, -1071?\nAnswer: -1071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2198627, -2198625, -2198623?\n\"Answer: 2*g - 2198629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 24. Suppose 5*z = -2*b - 57, 84 - 28 = -4*z + b. Let t be r(z). Suppose t*a - 88 = 868. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/126 - p**6\/18 - p**5\/10 + p**4\/9 + 4*p**3\/9 + 8*p + 1. What is w in i(w) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 3124*x - 2954*x + 74 + 1330*x - 157.\nAnswer: -4748*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. What is the remainder when 20 is divided by 1\/(5\/7)*g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18111, -6865, 11887, 38151, 71933, 113239, 162075, 218447?\n\"Answer: j**3 + 3747*j**2 - 2*j - 21857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054799416 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12\/7)\/d)**44*d**31\/(d\/(d*(d*d*(d**(1\/23)*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-14069\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1*3)*24\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(1216))**2.\nAnswer: 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 - -227. Calculate the highest common divisor of d and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1248504 (base 12) to base 9.\nAnswer: -6657354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-2) - 2)*-2. Let t(s) = 2*s**2. Let d(h) = 4*h**2 - h. Let o(p) = f*d(p) + 7*t(p). What is the second derivative of o(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(((-130)\/(-15))\/13). Sort 2, a, 6, 4 in decreasing order.\nAnswer: 6, 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1652 = 3*i - 31*i. Do 62 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 26*m**2 - 736*m + 9272. Give r(16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 54*o + 2. Let d(v) = -129*v**2. What is d(l(y))?\nAnswer: -376164*y**2 - 27864*y - 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/96 + (-4)\/((-312)\/2119))\/(6\/15).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 11*z + 43. Let q(r) = 3*r**2 + 2*r - 8. Let m be q(2). Let k be g(m). What is the hundreds digit of (-6)\/((-12)\/k)*18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 + t + 2. Let v be i(2). Solve n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1517 - 14*k - 17*k - 5*k - 13*k + 50*k to the form g + x*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)*h)\/h)**(-6)*h**(2\/3)*h\/h**(1\/6) assuming h is positive.\nAnswer: h**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/20 + 7 + 104\/(-10). Do z and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:38 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 718 - 717.66. Let v = -0.89 + 0.15. Let n = f + v. Which is the third smallest value? (a) -4 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**6 - 1722596*k**5 - 924*k**2 + 105*k - 26 wrt k.\nAnswer: -720*k**3 - 103355760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7 = -3. Let a be -5*3*3\/(-90)*-6. Suppose 6 = 3*c + 3*s, 0 = -5*c - 6*s + 4*s - 2. Sort p, a, c in descending order.\nAnswer: p, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30410 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23773024.\nAnswer: 2, 11, 67537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-44) - 146\/(-8). Suppose -3*n = 4*r - 10, 0*r + 5*n + b = 2*r. What is the least common multiple of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 21616*m\/5 + 21618\/5.\nAnswer: -2*(m - 10809)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -100, -78, -42, 14?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saww when four letters picked without replacement from {a: 4, z: 1, s: 1, w: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.00000131 - -29. What is q rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y + 187 = -57 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93841150 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4794300 to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 + 23457442?\nAnswer: 23457375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(3\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-18)*27\/(-18)*12. Let a be 95\/(-15) + (-2)\/(-6). Let m be (26\/t)\/(a\/(-24)). Calculate the highest common factor of 117 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -5 + 2 + sqrt(847))*-5*6)**2.\nAnswer: -118800*sqrt(7) + 3057300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 407 and 469789.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 49*v + 123. Solve 0 = -7*k + 6*k - v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 7*o**2 + 3. Let s be u(7). Suppose 152 = 7*i - s*i. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012473 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 235613846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = -2*d - 3*d, 16 = 3*d - 2*u. Let q = 22 + -20. Suppose 4*f = q*f + 5*f. Solve f = -3*g - 2*v + 21, -5*g + d*v + 15 + 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51766 is divided by 1435?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3429 - 3429. What is the closest to f in 1, 5\/2, 4, -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9397 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(-1*sqrt(1210) + sqrt(1210) - sqrt(1210)))\/(sqrt(24)\/(2*sqrt(1200) - sqrt(1200))).\nAnswer: 1320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 398213, 398234, 398251, 398264, 398273?\n\"Answer: -2*q**2 + 27*q + 398188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -k + 12, -2*k - 7 = -3*l - 3. Let w(y) be the third derivative of y**4\/8 - 4*y**3\/3 - y**2. What is the units digit of w(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188 - -0.3\nAnswer: 188.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 6. Give z(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -16, -40589?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 3*v**5\/10 + v**4\/6 + v**3\/3 + v**2\/2 + 4*v - 7. Determine f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/10 + (-24)\/40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {z: 4, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - w**4 + 3*w + (-3 + 2*w**2 + 3)*(-4*w**2 + 4*w**2 + 2*w**2) + 1 - 2*w**4 - 1 + (-27 + 27 - 34*w)*(-w**3 + 0*w**2 + 0*w**2).\nAnswer: 35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234537649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 8*f + 4. Suppose 0 = f*b - 5*v - 760010, b + v - 379996 = -v. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((7 - 2) + -85 + (-338 - -341))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*c - 40, -7*c + 2*c = 5*b - 80. Let k = -38 - -64. What is the greatest common factor of k and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 6 = 66. Calculate the least common multiple of g and 2 + 2 + -3 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 686 - 134 = 0. Calculate the remainder when u is divided by 117.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004530139 to five decimal places.\nAnswer: -0.00453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 31 = -2*v, v = -3*a - 4 - 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55787 - 55769. What is the remainder when 2\/7 - (-1732)\/14 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/7144 and -69\/457216.\nAnswer: 457216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 792147624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-8))\/(5\/(-20)). Suppose g - 28 = 4*v, 3*g - o*v = -13 + 62. Solve h - 3 = -g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 10*u - 6. Suppose 35 = 19*x + 206. Let w be l(x). Solve 4*n + 4*b = 8, 2 - 6 = -w*n - 2*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 67\/4*i**4 - 82 + 165*i + 0*i**3 + 0*i**2. Differentiate j(h) with respect to h.\nAnswer: 201*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 - (-98564)\/(-2)) + (-3 - -2)*3. Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3.3. Let y(k) = 19*k - 7. Let j be y(8). Let d = 577\/4 - j. Sort d, 2, o.\nAnswer: d, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795574.\nAnswer: 2, 11, 17, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 15*t - 23. Let h(r) = r**2 - 7*r + 12. Let i(q) = -5*h(q) - 3*w(q). Let v be i(7). What is the units digit of v\/3*(-12)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3001 - 1370. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11557097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2553717746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 518080?\nAnswer: 11915840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1265*w**6 + 2*w**3 + 21*w**2 - 40 wrt w?\nAnswer: -151800*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7207.425 microseconds to nanoseconds.\nAnswer: 7207425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z\/((z\/(z*z\/(z*z*z**11)))\/z))**(2\/73)\/((((z*z*z*z\/z**3*z)\/z)\/z**(1\/5))\/(z*z**(2\/7))**(-30)) assuming z is positive.\nAnswer: z**(-101784\/2555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 6*z + 5. Let n(k) = 3*k - 12. Let w be n(9). Suppose 2*p = -q - 3*q - 22, -3*q - w = p. Calculate o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:08 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 7:11 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmwopwwpewxwewpwxw. What is prob of picking 1 p, 1 x, and 1 w?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112306310?\nAnswer: 2, 5, 11230631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 12 = 17*k. Let c(o) = -o**2 - 3*o. Suppose 5 = -a + 3. Let d(z) = -z**2 - 4*z - 1. Determine a*d(j) + k*c(j).\nAnswer: -j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206089.\nAnswer: 13, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1494651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*b**3 + 40*b**3 + 38*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - j - 55. Let q(g) = g**2 - 54. Determine 5*q(l) - 4*r(l).\nAnswer: -3*l**2 + 4*l - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 + 10*x - 18. Let w be a(2). Is 41673\/(-116)*56\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**5\/7 + 1602*x**4\/7 - 260901*x**3\/7 + 10961418*x**2\/7 + 185472324*x\/7 - 648154440\/7 = 0.\nAnswer: -15, 3, 94, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2208471417 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-26))\/(36\/585).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51725331631 - -0.5.\nAnswer: 51725331631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2398 = -t, -15*t - z + 9581 = -11*t. What is the remainder when 7190 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8 - 3) + 4 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179 + 161.8. Let c = l + -5.3. Let f = 23 + c. Which is smaller: f or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Suppose -10 - 18 = b*x. Let t be (-4)\/(-14) + (-66)\/x. Solve 2*w + t = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-2)\/(-30)*3*-35?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 20. Which is the third biggest value? (a) d (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 15\/4, -4.27724 in decreasing order.\nAnswer: 5, 15\/4, -4, -4.27724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1241691529\/81564 - 67250\/20391. Let p = t - 15219. Find the common denominator of 27\/4 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 5932*x + 5936.\nAnswer: -4*(x - 1484)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/12366 and 113\/792.\nAnswer: 544104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2703.63 - 1.65552.\nAnswer: -2705.28552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3 + 17*q**3 - 16*q**3 + 4 - 8*q. Let l(p) = p**3 - 9*p + 8. Let x(s) = -6*i(s) + 5*l(s). Determine v, given that x(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20476*o*q*v**3 + 151*o*q*v**2 - 4*o*q + 7*q*v**3 + 34*q*v wrt v.\nAnswer: 122856*o*q + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5*q + i**5 + 632*i**3*q + 2*i**2*q - 279*q wrt i.\nAnswer: -60*i**2*q + 60*i**2 + 3792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 14*l + 13. Let c(o) = -o**2 + 5*o + 23. Let j be c(-3). Let s(q) = -1. Let b(w) = j*n(w) - 5*s(w). Factor b(a).\nAnswer: -(a + 4)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94.8, 4, -1, 1\/2, 0.4.\nAnswer: -1, 0.4, 1\/2, 4, 94.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeahhyq. Give prob of picking 1 a, 1 h, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1.2 (b) -3 (c) -0.07 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**5 - 14*t**4 + 4*t**3 + 12*t**2 + t. Let j(u) = -u**5 + u**4 + u**2 + u - 1. Let m(k) = 2*j(k) + o(k). Factor m(a).\nAnswer: -(a - 1)*(a + 1)**3*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-18*f + 14*f + 77*f) + 4*f - 3*f + f.\nAnswer: 75*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1358 - -1356. What is the nearest to 3 in 1, 0.02, m, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13566 and 63840?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = 0. Suppose s = -4*m + r + 16, -2*r = 8*m - 3*m - 33. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 12*m**2 - 10*m - 9. Let d be 1\/((5\/2)\/(-5)). Let l be (11\/d)\/((-3)\/6). Let a be g(l). Solve 0 = a*q + q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z)*(-8*z + 3*z - z + 2 + 2*z - 2 + (0 + 0 + z)*(-4 + 2 + 3)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*x + 13 = -3*b, -5*b + 5*x - 30 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -2, -49, -5 in descending order.\nAnswer: -1, -2, -5, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 10*q**2 + 14*q**2 + 3 + 1 - 14*q**2 + 37*q**2 to the form w*q**2 + j*q + f*q**3 + c and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 3)\/(30\/20). Let f(q) = 2*q**3 + 2*q**2 + 2*q + 5. Calculate f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - m**2 + 17*m + 1. Let w(b) = -3*b**3 + 7*b**2 - 85*b - 2399. What is -5*i(y) - w(y)?\nAnswer: -2*y**3 - 2*y**2 + 2394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*g + q, 4*g - 7*q = -3*q + 40. Let r(z) = -z**2 + 9*z + 6. Let a be r(g). Does 11 divide (-6)\/21 + 312\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -603*j + 451. Let v(y) = -201*y + 151. Let w(c) = -6*u(c) + 17*v(c). Differentiate w(f) with respect to f.\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1206720495 + 60339012051\/50. Let u = 59748 - o. Calculate the common denominator of 12\/25 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172958433 and 1626?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + 220\/(-16). Sort -2, -5, -9, u in descending order.\nAnswer: -2, -5, -9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -76 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*f - 43*f - 385*f)*(-3 + 4 - 2) + 5*f - 4*f + f as t*f + p and give t.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(425) + 2 + sqrt(425) + sqrt(425))*5*-4.\nAnswer: -300*sqrt(17) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 10088?\nAnswer: 696072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -13*n - 53 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144\/(-14) + 10)\/(-4 - -2). Sort s, 0, 5\/4, -3.\nAnswer: -3, 0, s, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 399348.\nAnswer: -41\/199674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83624137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, -6\/551, -2\/21, -0.13, -0.2?\nAnswer: -6\/551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 3. Let i be m(2). Suppose 0 = -p - i + 4. Let v(l) = l + 0*l**2 - 5*l**3 + 1 + 4*l**p + 3*l**2. What is v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8*(-9)\/48 - (-3)\/(-6))\/15. Let k(p) be the first derivative of o*p**2 + 0*p**3 - 1\/30*p**4 + 0*p + 5. Factor k(i).\nAnswer: -2*i*(i - 1)*(i + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -178005*n**3\/2 + 75*n**2\/2 + 2*n + 3. Let u be m(5). Round u to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 34 = -3*n + 21*o, 0 = 4*n + 19*o - 141 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1485.3*0.37\nAnswer: -549.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*a**3*s**3*x - 4*a**3*s + 5*a**2*s**3*x**2 + a**2*s*x**2 - a*s**2 - 11*s**2*x**2 wrt s.\nAnswer: 354*a**3*x + 30*a**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-30))\/((12\/(-10))\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 15*n**2 + 3*n. Let k(o) = -4*o**3 + 32*o**2 + 7*o. Determine -6*k(d) + 14*p(d).\nAnswer: -4*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.61 - 6.1. Round k to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -4*w**6\/15 - 3*w**5\/5 + 8*w**4\/3 - 2*w**3 + 52*w. Suppose g(z) = 0. Calculate z.\nAnswer: -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:10 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*p - 402*p + 27840 = 0 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 451 and 995357?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1746 (base 9) to base 16.\nAnswer: 53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/17, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2858*y = -2857*y + 6*n - 7*n + 3, 24 = -3*y - 2*n for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 0.1, -168?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -0*i - 20, -i - 13 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2460712, -9842504, -22145490, -39369670, -61515044?\n\"Answer: -2460597*c**2 - c - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 - 4*o**2 - o - 5*o**2. Let h be p(-1). Let j(l) = -l**3 - 13*l**2 - 11*l + 16. Calculate the lowest common multiple of j(h) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 37*p = 15. Suppose s + 3*u = 1270, -2*u = -4*s - p*u + 5047. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*b**2 - 604*b**2 - 29198*b**3 + 1206*b**2.\nAnswer: -29198*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 8:22 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*151\/(-4)*-4?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**2*m**3 - 3*c**2*m**2*o + c*m**3*o + 2*m**3*o + 74*m**3 - 990*m**2*o + 2*m**2 wrt m?\nAnswer: 42*c**2 + 6*c*o + 12*o + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3443110 (base 5) to base 8\nAnswer: -171510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15) + (84\/(-15))\/(-7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 <= 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 4*v**2 - 2*v - 4. Let a be n(-4). Suppose 0 = -5*b + 161 + a. Let l = b + -5. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**4 + 29723819*t**3 - 58814482*t**2.\nAnswer: -168*t + 178342914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from ykvryvyvvyyyyyry.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 (base 12) in base 4?\nAnswer: 11323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f**2 + 217*f + 13. Let p be x(-18). Sort 5, -135, -1, p in ascending order.\nAnswer: -135, p, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-25)\/25 + (11 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48702 and 4458?\nAnswer: 36185586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by 1902941\nAnswer: 283\/1902941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*a = 15. Suppose -r = a*r - 16. Suppose -4*h + 60 = -r*v, 0 = -2*h + 4*h + 4*v - 54. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1333539393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + j. Let m be f(1). Suppose -28 = -10*p + 12. Suppose 5 - 15 = 2*w + p*i, -3*w = 3*i + 3. Solve -2*a + m = -w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 63. Let d(x) = -3*x + 53. Let g(n) = 4*d(n) + 3*f(n). Give g(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let l = -2.1 + w. Let d = l - -0.3. Which is the second smallest value? (a) d (b) 0 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 - 191670 - 191676 + 383347.\nAnswer: -7*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + 108 + -5 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -128 (base 13) to base 7\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {g: 7, e: 1, i: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 43*s + 124, 3*i + 2*s + 27 = 23 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 + -87. Find the common denominator of -412*6\/d*-1 and 91\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 + 427 + 269)*(-3 + 3 - 2*i**3) in the form p*i**2 + k + f*i + o*i**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 11. Let t(m) = -m**3 + m**2 + 2*m - 1. Let p be t(2). Let g = p + -3. Put b, g, 4 in decreasing order.\nAnswer: b, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88328.28 tonnes to milligrams.\nAnswer: 88328280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40090*n**5 + 130399*n**2 wrt n?\nAnswer: -2405400*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168841 is divided by 84210.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*j - 28*j**2 - 561*j - 23*j**2 + 7*j**2.\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42223?\nAnswer: 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 16*b**2 - 35*b + 60. Calculate t(18).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, j: 2}. What is prob of sequence iv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29205778 plus 2249778.9?\nAnswer: -26955999.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 36 = 5*i, 7*b + 12 = 12*b + 2*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29262671 is divided by 9754205.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 10*i + 132 = -33 + 42, 25*h - 769 = 2*i for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 31 = 29. Calculate the common denominator of 83\/2 and v\/2*(-5)\/(5\/(-62)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*l**3 + 2436074*l**2 + 25538751?\nAnswer: 15*l**2 + 4872148*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - (4 + 1 - -29)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 618, 30, 3.\nAnswer: 3, 30, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1 - 44\/(-47)). Suppose -52*r + 610 = -d*r. Let l = -119 + r. Solve 12 = l*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 54. Let a = 4 + n. Let c = a - -27.828. Round c to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6\/360 + q**5\/20 - q**4\/12 + q**3\/3 - 2. Let v(d) be the third derivative of y(d). Is v(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 7*f**2 - 7*f + 9. Let g be d(6). Let t(q) be the second derivative of 1\/5*q**5 - q + 0 + q**2 + 0*q**4 - 1\/15*q**6 - 2\/3*q**g. Factor t(n).\nAnswer: -2*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 7\/((-210)\/590)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**2 - 16*c + 15. Is a(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z**2 + 1)*(506 - 946 - 1335) - z - z**2 + z + (-4*z + 3*z + 3*z)*(-3 + 3 - z) + 2*z - 2*z - z**2.\nAnswer: -1779*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 6*m + 1. Let z be k(-3). Let g = 11 + z. What is the third derivative of -g*b**2 + 72*b**3 - 69*b**3 + 0*b**2 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/14 - 80\/(-56). Solve 0 = 5*c - u*a, 3*c + 8*a - 3*a + 31 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.631 - -1.72. Let z = 0.189 - y. What is the nearest to -2\/3 in -0.5, 4, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -409*h**2*r**4 + 128*h**2*r**2 - 2*r**2 wrt r?\nAnswer: -9816*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (1 + 0 - 1) + 122 + -159?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83623.81 and 1.1.\nAnswer: 83624.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/19*-8 + (-3 - -55). What is the highest common factor of 20940 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333233097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1361*a - 119. Let y be v(7). Suppose y = 31*u - 10*u. 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 least common multiple of 1464 and 2196?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*g + 20, g + 4*w - 2*w + 5 = 0. Let s = -0.297 - -0.097. Which is the nearest to 0.08? (a) -2\/19 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18440 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*h + d, -3*h + 9 = 2*d - 3. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -9*r**2\/2 + 748. Let n(i) = 484*i. Calculate n(y(d)).\nAnswer: -4356*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71511917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -25*z**4\/2 - 2*z**3\/3 - z**2\/2 - 10. Calculate the remainder when c(-1) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26680289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-15))\/(1\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849641 is divided by 231205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 175. Let x = -50 + m. Suppose -2*d - j = 3*j - 50, -3*d = -2*j - x. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 23*y**2 - 74*y + 15. What is h(-19)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 151*r**3 - 6.\nAnswer: -151*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s - 2 + 2)*(3*s - 2*s - 5*s) + (0*s - 2*s + 3*s)*(2*s - 3 + 3) + (-6 + s + 6)*(3*s - 5*s + s) to the form w + u*s**2 + v*s and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27042207 by -27042207.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*m**3 - 99*m**3 - 23*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11))**(-9\/8)\/(v**1*v*v**(-6\/7)*v*v))**(-21) assuming v is positive.\nAnswer: v**(3093\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 742 = 2*u, -4*o + 584 = u + 3*u. What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 18*g + 39. Let u be ((-126)\/(-33) - 4) + (-194)\/22. Is r(u) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**2 + 81305*v + 15545250 = 0.\nAnswer: -189, 16450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1464.\nAnswer: -1\/732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u - 2*u + 4*u)*(-4*u**2 + 3*u**2 + 0*u**2) + 5*u**2 - 2*u**3 - 5*u**2)*(7 - 12 + 46).\nAnswer: -164*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -116954 divided by 1\nAnswer: -116954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l + 3*s + 15 = 0, 20 = -2*l - 4*s. Suppose -2 = o, l*f = 2*f + o - 52. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244 - -665. Factor f**2 - 211 - 214 + v.\nAnswer: (f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.79 + 0.21. Let n = -27.0065 + i. What is n rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 84 - 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6*2\/(-3) - -75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 171aa114 + -7?\nAnswer: 171aa108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004444679882 rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((-5214)\/406692)?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139977 = -147*z - 125130 for z.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 4\/((-8)\/2). Suppose 3*l - 40 = -h*m, 10*m - 5*l = 5*m. Suppose -2*i - 3*i - 5*r + m = 0, 5*i - 2*r = 19. Solve x + i = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7958371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44318863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 12:30 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 399, 2488, 7993, 18570, 35875, 61564, 97293?\n\"Answer: 276*q**3 + 52*q**2 + q + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o - o)*(3*o**2 - 2 + 3 + 5*o - 2*o**2) + 0*o**3 + 0*o**3 - 2*o**3.\nAnswer: -4*o**3 - 10*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 1328179\nAnswer: 56\/1328179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3438 plus -2?\nAnswer: -3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, 775, 2144, 4057, 6508, 9491, 13000?\nAnswer: 17029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 2. Let c(x) = x**2 - 8*x - 82. Let q be c(14). Let n(z) = 3 - 162*z**2 + 335*z**2 + 8*z - 172*z**q. Give n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 + 130554*l**2\/5 + 365520*l + 1044320 = 0 for l.\nAnswer: -130540, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/11, 3, 4, 3\/5, 0.08?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvkrrvnnvnrnnkvrv. What is prob of sequence kkvr?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 - 41*u + 3 - 5*u**3 + 78*u - 37*u to f*u**3 + c + x*u + b*u**4 + j*u**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75295 is divided by 416.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/3? (a) -3 (b) -28 (c) 1 (d) -5 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -645 - -24. Calculate the common denominator of 8\/3 and m\/56 + (-6)\/21.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 0*c + 7 - 5*c - 26.\nAnswer: -6*c - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -5, -12 in increasing order.\nAnswer: -12, -5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 792036703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = -5*k + 10, -2 = -4*o - k. Suppose -3*f - i - 7 = o, -3*i - 7 = 4*f - 4*i. Is (17\/f)\/(5\/(-10)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9638544, -9638544, -9638548, -9638556, -9638568, -9638584, -9638604?\n\"Answer: -2*u**2 + 6*u - 9638548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s + 52*s - 68463 = -4*y, 5*s - y - 68503 = 0. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 and 109\/1068.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 8. Suppose 4*r = -5*v + 45, 4*r + 3*v - c*v - 63 = 0. Let f be 1\/3 + (-28)\/(-6). Calculate the greatest common factor of f and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-2)\/v))**(-2\/3)\/(v*v\/(v*v**7)*v**13))**(2\/123) assuming v is positive.\nAnswer: v**(-62\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 + -44 - -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39680, -79372, -119070, -158774, -198484?\n\"Answer: -3*r**2 - 39683*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*((-738)\/(-108))\/(-41))\/4.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -619 + 622. Let f(a) be the first derivative of -1\/3*a**b - 11 - 1\/2*a**2 + 2*a. Factor f(v).\nAnswer: -(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Suppose 0 = f + 2 - 3. What is the nearest to f in -2, y, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 7 - 67 = 0. Let y(o) = -o**2 - 22*o - 87. Let f be y(-6). Solve -f*u + x*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 - 2*c - 7. Calculate r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*f = 14, v + 3 + 10 = 4*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 13)*(-2680*j + 10 - 7 + 2791*j).\nAnswer: 1665*j + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 69214.48 micrometers?\nAnswer: 6.921448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:21 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3*l**2 - 3*l + 5. Determine w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {g: 9, x: 6, z: 4}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, -5\/3, 0.5, -2\/127?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0 + 14*s - 21\/2*s**2 - 1\/12*s**4 + 53\/6*s**3. Is k(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**4 - z. Let g(n) = -13*n**4 - 3*n. Let s = 14 - 5. Let w = -16 + s. Let l(i) = w*x(i) + 2*g(i). What is the second derivative of l(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15921.62l?\nAnswer: 15921620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (0 + -4 + 6 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281837203 to the nearest integer?\nAnswer: 16788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.05 and -400?\nAnswer: 401.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20\/9, -6, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = 47*l - 1424. Find the common denominator of (-75)\/690*l\/(-10) and 17\/14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 0.1 (b) 1\/5 (c) -2 (d) -3\/128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/4 - 2*b**3\/3 + 8*b**2 + 73*b. Let f(j) = -5*j - 5. What is -7*f(d) + 6*q(d)?\nAnswer: -d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 309. Determine n(-38).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmj when four letters picked without replacement from {j: 5, m: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -372 (b) 2 (c) -8 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -6 + 18 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 310, 410, 472, 496, 482, 430?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 942*w - 687. What is the thousands digit of k(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2 + 5*m - 6 + 3*m. Is z(4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 68 = -4*w, -3*d - 28 = -w - 7. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -6 - (0 + -2). Let d be -2 - -12 - (1 - u). Which is the closest to 2\/5? (a) -3 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 1. Let h be -1*(s - -1 - 0). Let q be (1\/2)\/(h + 5\/(-6)). Solve 0 = -3*t + 4*t - q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 3:09 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164177270 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/7, -13, 1, -0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/5)*w**6)\/(w**(2\/3)\/w)**(-29))**(2\/5) assuming w is positive.\nAnswer: w**(-92\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 88. Suppose k*g = d, g - 2*g = -d. Sort 2, 1, g in decreasing order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13423, 26876, 40329, 53782, 67235?\nAnswer: 80688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 724*q**2 + 8156*q - 7436.\nAnswer: 4*(q - 169)*(q - 11)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 3*f - 19. Let u = f - -24. Sort u, -3, -2\/3.\nAnswer: -3, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-162))\/((-36)\/(-162))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**25\/q*q**18\/q)\/((q\/q**(1\/9)*q)\/q)**(-2\/29) assuming q is positive.\nAnswer: q**(10978\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -150.719 (c) 19 (d) -2\/9 (e) 1\/2 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/43498 and 22\/21749.\nAnswer: 43498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 82.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28309*z**2 + 6*z**3 + 28309*z**2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/6 - 19737355*r\/6.\nAnswer: 5*r*(r - 3947471)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72069216677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -6, -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/1)\/(19914\/(-2300067)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3308071.\nAnswer: -13232284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 2*l + 19 + 1 - l**2. Let f be u(-5). Suppose -3*o - 2*o + 5*j = -4830, f = 2*o + 2*j - 1952. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -d6819?\nAnswer: -d681a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.9 - -0.5. Let h = -1358 + 1365.73. Let p = h + a. Round p to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 equal to 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16884*q**3 - 16876*q**3 - 16878*q**3 - 16883*q**3 + 67515*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 707.7 and -1.\nAnswer: 706.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4806 divided by 27\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and 42173974.\nAnswer: 88565345.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 3*h - 2. Determine j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12555*w - 84 = -12569*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22304 and 913070?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 33 = 7*x. What are the prime factors of -579*(-12)\/99 - 2\/x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + (-5 + (-9)\/(-1))*(-10)\/(-20). Let q(i) = 4*i**3 - 45*i**2 + 12*i - 2. Determine q(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 53\/144*f**4 - 17\/120*f**5 + 0*f - 1\/2*f**3 + 1\/1260*f**7 + 1\/48*f**6 + f**2 - 40. Factor j(i).\nAnswer: (i - 1)**3*(i + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.999 + 0.047714129\nAnswer: 8.046714129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.03, 16.7, -0.2, -0.02 in descending order.\nAnswer: 16.7, 2\/5, 0.03, -0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3*g + 1. Let c be x(-5). Let a = c + -6. Suppose 12 = f + a*l, 4*f + 2*l - 71 = 67. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 q when four letters picked without replacement from {q: 5, v: 1, d: 7}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:29 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = 2*r, 4*r + 0*i - i = -45. Let k = -9 - r. Are 7\/4 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11039294 divided by 788521\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l - 28. Determine w(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vell when four letters picked without replacement from {e: 2, w: 2, v: 5, l: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a456a - 15?\nAnswer: 8a4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -4488?\nAnswer: -4493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57072378*s**3 + 396863579*s**2.\nAnswer: -342434268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 37 = 3*c, 40*c - 42*c + 134 - 132 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439 + 440. Put -10, 5, w in increasing order.\nAnswer: -10, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, y: 1, n: 1, b: 2, c: 1}. What is prob of picking 1 k and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + 16. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221303 - -10303?\nAnswer: -211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, -13, -17, -21, -25, -29?\n\"Answer: -4*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/5)))\/((h*h**3)\/h))\/((h\/h**(1\/9)*h*h)\/h**0) assuming h is positive.\nAnswer: h**(-256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063510627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(7\/5)\/r))\/r)*r)\/r**(4\/3) assuming r is positive.\nAnswer: r**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 176 - 4. Solve 0 = -3*s + j - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -1 (c) 2\/3 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Suppose -4*b + 112 - 362 = 3*z, -311 = 5*b + s*z. Let c = -35 - b. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292640 by 58528.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599693?\nAnswer: 599693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(3\/5)))\/l**(2\/3)*l**(-5)*l\/((l**(1\/4)*l)\/l) assuming l is positive.\nAnswer: l**(-319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -16. Suppose -a + j = -0. Suppose -a*m + m = -44. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - 4 - 68\/48 and 97\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6709.65 or -1?\nAnswer: 6709.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7 or 1755026.2?\nAnswer: 1755026.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(1573\/22)*-3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*k + 32. Let m = 68\/3 - k. Do m and 19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 - 3*b + 1. Let c(m) = m**3 - 11*m**2 + 22*m - 39. Let z be c(9). Let h(v) = -v**3 - 3*v**2 + 2*v. Calculate z*h(f) - 2*g(f).\nAnswer: f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(243)*4 + sqrt(243) + (sqrt(243) - ((sqrt(243) - (sqrt(243) + -1 + sqrt(243))) + 3 - sqrt(243)))**2 + 5 + 3 + 3*sqrt(108).\nAnswer: -225*sqrt(3) + 2211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7*y = -70 + 26, 5*p - y = 10. Solve 4*s = 2*k + 14, 0 = 12*s - 10*s + p*k - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 18 + (-4 + 0 - -12 - (-1 + 36))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-54)*(8\/10)\/((-4)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-5 - (9 - 11))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 78189 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n + 4. What is the tens digit of r(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -14) + 26 - (-49 + 1 + 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(((-534)\/(-1246))\/((-8)\/(-42)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15156 or -15160?\nAnswer: -15156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-3 + (-5 + sqrt(275) + 1 - sqrt(275)) + 5)**2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.550014mg in kilograms?\nAnswer: 0.000000550014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o - 46. Let c be l(5). Let f be (-1)\/c*-3*0. Solve 0 = 2*b - 4, f = -3*s + 6*b - b - 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2562612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7285\/(-141)*(-21)\/175?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 4. Let d(f) = 2*f - 7. Let g = 129 + -124. Let n(o) = g*v(o) + 2*d(o). What is n(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 5}. Give prob of sequence ud.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69780591\/19 + 3671323. Let j = 1340 + m. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8024 - -8025.6636. What is h rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29312*s**2 + 7*s + 2*s - 9*s.\nAnswer: -29312*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7*f = 2*f - 10, -3*f - 42 = -3*u. Calculate the lowest common multiple of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13313404 divided by 1018.\nAnswer: 13078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99412740 to the power of 1\/2, to the nearest integer?\nAnswer: 9971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 4. Let v be q(5). Let o = 5 + v. Suppose 2*r = o*r - 154. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l*l\/(l\/(l*l\/(l*l**(-1))*l*l))))\/(l*(l**(-2\/9)*l)\/l)**(-18) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 954.3175 meters?\nAnswer: 954317500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1008) + ((sqrt(7) + sqrt(7) + -1*sqrt(7))*2)**2 + 4.\nAnswer: -12*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -15.\nAnswer: -17\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -45, -4, 0 in descending order.\nAnswer: 0, -4, -30, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b, -4*b + 18 = 5*f - b. Suppose 4*q + 4*d = f*q - 60, -2*q = -2*d - 50. Calculate the common denominator of -91\/6 and (-49)\/q + 6\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 55 = -2*w, -5*w - 5*l - 76 = -1. Let r be ((-48)\/w)\/(6\/20). Let s be 0 - (-5 - -2 - 0). Solve 7*c = s*c + r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -840 - -848. Solve -3*j + h*o - 2 = 6*o, 5*o = -2*j - 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*b**2 + 108*b**2 - 569*b**3 + 155*b**2 + 103*b**2 + 106*b**2.\nAnswer: -569*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-25))\/(2*(-3)\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2288797.\nAnswer: -3\/2288797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8202 - 8201. Which is bigger: -3\/1706 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o - 106*o - 73*o + 560 = 0. Solve o*x + 5*x + 30 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.06 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j - 25. Let t(y) = y - 6. Let l(c) = -9*t(c) + 2*x(c). Let r be l(-2). Suppose -r*f = -7*f + 45. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2306668 and 55757856.\nAnswer: 55757854.7693332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-286.7\nAnswer: 57.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p*v*z + 18*p*z + 2*p + 256*v**3*z - 14*v**3 - 771 wrt z?\nAnswer: 2*p*v + 18*p + 256*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 2*r + r)*(4575*r + 1214*r - 527*r)*(-2 - 1 + 5) to the form g*r**2 + k*r + s and give g.\nAnswer: -10524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f**3 - f**2 - 5*f - 5. Let j be i(-2). Let k = -103 - j. Is k at most 2\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9)*(2 + -2). Let o(d) be the second derivative of a*d**2 + 0 - 1\/8*d**3 - 3\/80*d**5 + 1\/8*d**4 + 3*d. Solve o(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:14 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -636*x - 17209. What is d(-27)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*j, -17*j + 19*j = 2*h + 24. Suppose 2*z = 3*m, 3*m + 10*z = 5*z. Suppose -3*w = 2*w - b + 8, 3*b + 4 = w. Put w, h, m in decreasing order.\nAnswer: m, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -0*l - 1477 - 3227. Calculate the remainder when 1119 is divided by l.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 703032 and 229944?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c = 3*n + 306, 2*c = 4*n - 222. Let z be (-3 - 1)\/((-14)\/c). Let l be (2\/3)\/(2\/z). Is l <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*r - 30 = 84, 5*r + 130 = 4*v. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {r: 2, w: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -83, -288, -617, -1070, -1647?\n\"Answer: -62*p**2 - 19*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36090.4171190263 minus 3?\nAnswer: -36093.4171190263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - (sqrt(84) + (sqrt(84) - -1*sqrt(84)))))*-6)\/(sqrt(1452)*1).\nAnswer: -18*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(363) + -3 + sqrt(363) - sqrt(363)))**2 - (sqrt(33)\/sqrt(1331) + 3)) + -5.\nAnswer: -26137*sqrt(3)\/11 + 13384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22055 + 22055. Let s(v) be the second derivative of 1\/4*v**3 + u*v**2 + 0 - 1\/16*v**4 - 15*v. Let s(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -63, -3, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 l when three letters picked without replacement from {w: 1, f: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 6*o + 18*o)*(3*o**3 + 0*o**3 - 6*o**3) to the form i*o + g*o**3 + k*o**2 + b*o**4 + j and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*b + 763*b - 30 + 75 = -161 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 210. Suppose -v = 4*s - 193, -3*s + t + 47 = 4*v. Calculate the smallest common multiple of s and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068781034168657 plus -3?\nAnswer: -2.931218965831343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7521447 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 2*n + 4*n)*(0*n - 3*n + n) - 1 + 2*n**2 + 1 - 6*n**2 + 2*n**2 - 2*n**2 - 2*n**2 - 2 + 2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1348, 1345, 1330, 1297, 1240, 1153, 1030?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7776646mm?\nAnswer: 777664.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 - 60*a - 135 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5133016 divided by -4\nAnswer: -1283254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 1806?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -365, -0.5, -1, -1.09 in ascending order.\nAnswer: -365, -1.09, -1, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 16 = 0, 109 = 16*k - 12*k + 5*b + 73 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c + 0*c)*(45 + 16 + 62)*(4 - 6 - 3)*(3 - 3 - 1)*(-c - 3*c + 3*c).\nAnswer: -1230*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 477.438 litres?\nAnswer: 477438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -7, -2\/93, 6.967?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/42 - 1\/2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-4))\/(1605\/6420).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 112 = 27*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 2*k - 2 = -3*m, 0 = m + 4*k - 34. Determine s so that 3\/7*s**m + 0 - 3\/7*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.14, -5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 20*t**2 + 6*t)*(71*t + 116*t - 69*t) + 0*t**3 - 3*t**3 + 2*t**3.\nAnswer: -2361*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 15) to base 2.\nAnswer: -11111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxx when three letters picked without replacement from sxsljxnxndxlnjj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13042511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/20 - (-34)\/10. Factor -2*i + 0*i + j*i - 3*i + 2*i**3.\nAnswer: 2*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**3 - 5 - r**3 + 6*r**3 - 51*r + 2*r**3 - 14*r**3 - 3*r**2 to a*r**2 + y*r**3 + k*r + d and give k.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzgzgzzgqgggggqz. Give prob of picking 2 g and 2 q.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) + (-30)\/(-8). Suppose 4*a + m = -9, 2*m = -g*a - 6 - 2. Let j be (-6)\/(-3)*(3 + a). Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11263322 + -11263318.9999995. Let h = d + -3. Round h to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:59 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8482.8 and -1.\nAnswer: 8481.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452116*r**3 - 452116*r**3 + 904241*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3))**(-3\/2))**5)**(-20\/7) assuming v is positive.\nAnswer: v**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqliqlbilq. What is prob of sequence iliq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 583.5?\nAnswer: 4084.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211\/5 + 42. Let k = -0.7 - 0.5. Let p = -6.2 - k. Which is the second biggest value? (a) u (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1769 and 393994?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*t + 67 = t, -115 = 5*y - 5*t. Let x = 24 + y. Let b(a) = -4*a**2 - x + 11 - 3 + a. Give b(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a = 2*r + 1107, a - 222 = r. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*w + 42 = -126*w. Let y(d) = d**2 + 5*d - 4. Let j be y(w). Solve 3*p + 5*r = j, -r + 2 + 2 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/30 - 5)*(-120)\/(-135).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 39 = -13, 0 = 2*x + 4*q + 547 - 489 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u + 5*u + 33. Let j = 16.27 - 0.27. Let i = j - 11. What is the third biggest value in 1\/3, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - g - g)*(-25 + 20 - 15) as i*g + p and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/35 - 4\/(-30). Suppose 2*n = s - 6, 2*n - 1 = 3*s + 1. What is the nearest to a in n, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.442 less than or equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65a (base 11) in base 10?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/3))**(2\/33)\/(i**(1\/2))**(-1\/18)*(i\/(i**(-1\/3)*i)*i)**(-37)*i**6*i\/i**(-1\/6)*i assuming i is positive.\nAnswer: i**(-5425\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14014 divided by -2002?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 3*k**2 + 53. Calculate s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9996521, -19993045, -29989599, -39986189, -49982821, -59979501?\nAnswer: -69976235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 1)**2 - (sqrt(3) + -2*sqrt(3)*6 - sqrt(3)).\nAnswer: 34*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 60 - 85. What is the tens digit of ((-686)\/b)\/((-46)\/115)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5))\/(j\/((j\/(j**4\/j))\/j*j))*(j**(-3)\/j)\/(j*j*(j**3*j)\/j) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -10, -13, -16, -19, -22?\n\"Answer: -3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*k**3 + 191*k**3 - 61*k**3.\nAnswer: 221*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-6))\/((-4102)\/23440)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 619 or 611?\nAnswer: 619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 274?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0298458s to milliseconds.\nAnswer: 29.8458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1050 + -702. Suppose 12*z - 8*z - f = 0. Calculate the remainder when z is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*d + 3*t, 5*d - 2*t + 13 = -2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924972 is divided by 566.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 397634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.5 * -26.\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -3\/2 (c) -0.5 (d) 1 (e) -0.4 (f) 0.69114 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/70)\/((-72)\/(-42)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15698 + 15704. Solve 2*f = 4*z - d, 61*z - 58*z = -3*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 126. Calculate w(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50850916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13974667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12*r**3 - 99*r**2 - 51*r - 297. Determine j(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9469 (base 11) to base 13.\nAnswer: 5926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**3 + 4*x**2 - 21*x + 20. Let y = 40 + -47. Let q(o) = 8*o**3 - 3*o**2 + 22*o - 21. Let c(s) = y*p(s) - 6*q(s). Is c(10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*p + 1193 = 3658 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(-10)*(k*k**3)**29)**3 assuming k is positive.\nAnswer: k**348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 823691*t**4 - 168*t**3 - 31162725*t**2?\nAnswer: 19768584*t - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(12\/5)*k)\/k*k**16*k*(k\/((k\/(k*k**(-2\/9)))\/k))\/(k\/((k\/(k*k**(10\/3)))\/k)*k))**(-4\/3) assuming k is positive.\nAnswer: k**(-2672\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/((x*x*x*((x*(x\/x**1*x)\/x)\/x)\/x)\/x))\/(x\/(x*x**(-3\/5))*x))**(11\/2)*(x*x**0)**(-2\/45)\/((((x\/x**(1\/4))\/x)\/x)\/x)**(-2\/23) assuming x is positive.\nAnswer: x**(7721\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -6 + 1231\/1 - -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1782219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 117*g**3 - 2*g**2 + 38*g - 97. What is the tens digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:40 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/11 (c) 1\/4 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -495 - -279. Let c = -214 - h. Solve 6 = -4*l + c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196075818 divided by 3\nAnswer: -65358606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/81)\/(8\/(-6)). Let g = -4 - -9. Which is the closest to l? (a) 0 (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*r**5 - 5*r**3 + 5849*r**2 + 2471906*r + 6 wrt r?\nAnswer: 2180*r**3 - 30*r + 11698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.6. Let t = w + 0.2. What is the closest to 1 in 0.2, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88908 and 93.\nAnswer: 88908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/120 - r**3\/6 - 11*r**2 + 3*r + 8. Let c(h) be the second derivative of o(h). Let k(d) = 34*d**2. What is c(k(s))?\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(2 + 1 - 2*q**4 + q**4).\nAnswer: 2*q**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-126)\/15 - ((-115)\/(-25) - 5). Let v(s) = -3*s + 12. Let t be v(6). Let z be 1\/(y\/12)*200\/t. Calculate the highest common factor of 75 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 plus 4?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 145. Let d = -3380\/9 - -2261\/6. What is the common denominator of d and 1\/o*(14 - 1899\/63)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from swsswwjjkkss.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.12 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 49*d + 398. What is b(-13)?\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*m**3 - 517*m**3 - 75*m**3 + 40*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/(630\/12) + (-1125)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmci when four letters picked without replacement from {c: 1, i: 3, e: 2, m: 6, x: 4, w: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-64)\/(-10) + -4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 28*k - 180. Let d be m(13). Let n(c) = 2 - d - 6*c - 2*c - 1 + 9*c. Give n(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4, -2*w + 146 = 4*i - 4*w. Let g be (-2)\/(-4)*i\/1827. Let u = g - -85\/203. Which is bigger: -0.3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039200 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.2 - -11. Let p = v + -3. Let t = -5760 + 5766. Which is the second biggest value? (a) 0.3 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -5*k**3\/6 - 20*k. Let a = 28 - 24. Let x(w) = -a + 32*w + 4 - 33*w. Give t(x(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 + w - 1. Let z(i) = -16*i**2 + 3*i - 2. Let p(x) = -7*y(x) + 3*z(x). Let f be p(-1). Let c(n) = 4 + n - 7*n**3 + 3 - f. Determine c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - (-15 + -1 - (-34 + 33 - 13))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (-2 - (-11 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7930 and 48355554?\nAnswer: 241777770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l - 5. Let i be y(4). Suppose i = -4*q + 15. Suppose 4 = q*j + 2*p, 5*p = 3*j - j - 9. Solve -4*b - 5 = d, -2 = d - b + j*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 10*w + 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2021985029 and 2924?\nAnswer: 2021987953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettveppcctpuptt. What is prob of picking 1 v and 2 e?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*-55547\nAnswer: -155531.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 165?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - 9) - (4 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/5567 + 5589\/61237. Factor 1\/11*y**3 + 0*y**2 + 0*y + 0 + w*y**5 - 2\/11*y**4.\nAnswer: y**3*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 16, q: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*w**3 + 22*w**3 - w**4 - 6*w - 1 - 13 + 20*w**3 - w**2 - 7 to the form y + t*w**4 + q*w + h*w**2 + v*w**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 2*j + j)*(2*j + 3 - 3) + (1 + 0 + 90*j - 93*j)*(-42*j + 72*j - 50*j) as a*j + m*j**2 + w and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-4 + 1) - 1) + 10 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -250861, -251015, -251169, -251323?\n\"Answer: -154*b - 250707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 - -81 - 470\/260*-2.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 270, 3, -0.2, 336, -2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/106362 and 109\/12905256?\nAnswer: 38715768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 n when three letters picked without replacement from xxsnppyw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/90 and -95\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -192380, -384761, -577142, -769523?\n\"Answer: -192381*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1499, -3148, -4795, -6434, -8059?\nAnswer: -9664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 12. Let w be y(9). Let z be ((-2)\/w)\/(88\/33). Let -z*h**4 + 3\/4*h**3 + 1\/4*h + 0 - 3\/4*h**2 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(1476\/(-6642))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -76414.0540059.\nAnswer: 76418.0540059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3850983 by 142629.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011459249 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -804 divided by 201\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. What is the third derivative of 7*n**6 - 4*n**6 - 3*n**3 - 4*n**2 + d*n**3 wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -917 divided by 20?\nAnswer: -917\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/105*(-5)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2 + (0 - 1 - 1)*(5 + 2 - 5) + 1 + 1 + 0)*(-l**2 + 0*l**2 + 2*l**2) - 2*l**2 + 7*l**2 + 3*l**2 to the form g*l**2 + m*l + i and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 38 + 28 = 86 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 47*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36947.364178316 - -1548418.653182416. Let g = j - 1511391.289. Let o = -80 + g. What is o rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 71\/490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-59)\/7 - 27\/(-63). Let g be 0 + z\/18 - (-10)\/(-45). Which is the smallest value? (a) 3\/23 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 i, and 1 w when four letters picked without replacement from ioywi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -87*s + 91*s - 3*n, -3*s - 4*n = 9. Factor -3*d**4 - 1\/3*d**s + 2\/3*d**2 - 14\/3*d**3 + 5*d + 7\/3.\nAnswer: -(d - 1)*(d + 1)**3*(d + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 2670*k**2 + 46257*k.\nAnswer: -3*k*(k - 17)*(k + 907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 233830.6 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 3?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 7. Let f be -4 + (3 - -4) - 1. Suppose -2*r + 12 = f. Give m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 5. Let t be m(5). Let p = t - 2. Let q(i) = i**2 + 3*i + 3. Let s be q(p). Which is greater: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 100 = 4*h, 0*h + 3*p = -4*h + 72. Let w(y) = -4*y**2 + y. Let q be w(2). Let d = q + h. What is the greatest common factor of 49 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 51584.\nAnswer: 23\/25792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(245) + sqrt(245) + (sqrt(245) + sqrt(245) + -1 - sqrt(245) - sqrt(245))))**2 + -5 + (-3*(4 + sqrt(10)\/sqrt(2)))**2*-5.\nAnswer: -1368*sqrt(5) + 34366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 93. What is the common denominator of 75\/8 and -17*9\/30 + 4 + g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256581.39 months to decades.\nAnswer: 2138.17825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15780854*n**2 - 2338459*n wrt n.\nAnswer: 31561708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.56134 kilometers in millimeters?\nAnswer: 48561340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 12*x**2 - 11*x**3 + 4*x**3 - 12 + 5*x**2 + 4*x**3 + x as v*x**2 + z*x + f + s*x**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(28\/(-70)))\/(9\/3))\/(135\/6966).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371 + 365. What is the lowest common multiple of f\/27 + 1491\/27 + 5 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60278.173868168 - 3612467.283864068. Let t = l + 3552190. Let x = t - 0.89. What is x rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -1\/5, -2\/109, 284.\nAnswer: -1, -1\/5, -2\/109, 0, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2b643a0 (base 12) to base 3\nAnswer: 121122011120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from eeeefeffee?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 u when four letters picked without replacement from eueeuu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {y: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5044*s + 2. Let g(q) = -4*q. What is d(g(w))?\nAnswer: -20176*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/720 - b**5\/120 - b**4\/48 + b**3\/6 + 2*b. Let q(d) be the second derivative of h(d). Let q(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -18. Let w be (6 + b)\/((-1)\/12). Suppose n - w = -k, 0*n - 5*n - 3*k + 68 = 0. Solve c = l, 2*l - n = -3*c + l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 1613 + 2387. Let k(q) = -195*q + 4641. Let v be k(22). Let w = l + v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2160) - sqrt(15) - 6*sqrt(75)\/sqrt(5))\/((sqrt(1080)*1)\/(sqrt(360)*2 - sqrt(10))).\nAnswer: -605*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:45 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + 1395 - 851 + 7*d**2 - 544.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -23*t - 46. Let f(b) = -2*b - 122. Let j(g) = 2*g + 183. Let c(w) = -3*f(w) - 2*j(w). Calculate s(c(x)).\nAnswer: -46*x - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/2 - 172377*k\/2 - 258570 = 0. What is k?\nAnswer: -3, 172380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i - 9. Let a be d(7). Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*y = 2, -2*y + 4 - 23 = -5*s. Suppose 3*w = -s*w + 12. Determine j so that 0*j + 1\/3 - 1\/3*j**w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -294*i - 23. Let r(c) = -122*c**2 + 2*c. What is k(r(g))?\nAnswer: 35868*g**2 - 588*g - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 - ((-29 - -4) + 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 35 + 20 + 1086*r + 117*r.\nAnswer: 1203*r + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/5, 0.2, -28, 2.89, 2\/13 in ascending order.\nAnswer: -28, 0.1, 2\/13, 0.2, 2\/5, 2.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188 or -190?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 5*p**2 + 3*p + 1. Suppose 87*d - 1651 - 984 = 932. Calculate the remainder when d is divided by u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 34*c - 31. Is 2\/11 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3 - 3 + b + 4 - 6. Let o be t(6). Suppose o*y + 60 = y. Round y to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*b - 135. Let h = -3 + 6. Suppose x - 72 = -h*x. What is the greatest common divisor of b and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*b + 63*b - 23*b to r + q*b and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let x(t) = 288*t**2 + 1. Give y(x(i)).\nAnswer: -576*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12818 - 8121. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:12 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47106961*d**5 - 95*d**2 + 247391*d.\nAnswer: 2826417660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49096896*k - 659056105 with respect to k.\nAnswer: 49096896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = -35*t + 26*t. Let f = t + -110. Sort f, -3, 0.25, -2 in decreasing order.\nAnswer: f, 0.25, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8 + 4?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 17*m**2 + 40799*m - 653033. Determine y(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-12))\/(21\/(-42)). Which is smaller: 16\/135 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -34*i**3 - 3*i**2 - 43*i - 3. Let c(k) = 69*k**3 + 7*k**2 + 85*k + 7. Let p(f) = -3*c(f) - 7*w(f). What is the second derivative of p(j) wrt j?\nAnswer: 186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 10*w - 23. Let x be c(-11). Let u = x - 104. Suppose -4 = -l + 4*l + 4*i, -2*i = -u*l + 2. Solve 3*n - n + 6 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -790637*o*u**2 - 9*o*u - 11482000*o - 2*u**3 + 2 wrt u.\nAnswer: -1581274*o*u - 9*o - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-20)*5\/((-90)\/(-1201236)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 2. Let s(y) = -8*y - 9. Let c(z) = 9*m(z) - 2*s(z). Let k(a) be the third derivative of a**5\/20 + a**2. Calculate c(k(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/34980 and 143\/45202640.\nAnswer: 1491687120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1412403, 5649901, 12712397, 22599891, 35312383, 50849873, 69212361?\nAnswer: 90399847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 4*n**4 + 2*n**3 - 3*n + 0*n + 87*n**5 - 86*n**5.\nAnswer: n*(n - 3)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*t - 16 = -3*t, 5*z = t + 20. Suppose -z*g - 8 = 12. Let y = 7 + g. Solve 0 = -2*k - y*s + 6, 5*k - 5*s - 9 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*s + 30 = 505*s. Suppose 0 = -2*k - 2*c - 2, 2*k - 2*c = -2*k - 28. What is the lowest common multiple of 20\/k*(-10)\/8 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 107. What is the units digit of (-4)\/r + (-640744)\/(-403)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1774 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, v: 1, h: 4, n: 2, p: 3}. What is prob of sequence wn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-26)\/(-6)*156\/4 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 + 9. Let v be h(3). Solve -2*l = -4*n + 26, v*n - 22 = -l - 5*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/16? (a) 1 (b) 41270 (c) 0.2 (d) 1\/3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/2720 - -4089\/2720. Factor 0*h**2 + 1\/2*h**3 + 1 - w*h.\nAnswer: (h - 1)**2*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7. Let y(d) = -2*d**2 + 0*d**2 + b*d**2 + 0*d**2. Let i(z) = 2*z**2. Give i(y(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Is 2\/3 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2190238, 2190236, 2190234, 2190232, 2190230, 2190228?\n\"Answer: -2*a + 2190240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 781\/8868 or 0?\nAnswer: 781\/8868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980.235 litres to millilitres.\nAnswer: 980235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/59 or -1.1?\nAnswer: -12\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97737 - 64641. List the prime factors of a.\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/9))**(-4\/15))**40)**33 assuming c is positive.\nAnswer: c**(-704\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017762628 to seven decimal places.\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*(-4)\/(-10). Let i be (2 - 1)\/(-1)*-2. Let g be (-3 - -1)\/(i + -1). Which is the smallest value? (a) g (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (45 + -70 + 59)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 555?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(2\/3))**(5\/3))**(-3\/10) assuming u is positive.\nAnswer: u**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251165 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 9 - (-8 + -2). What is the third derivative of -15*n**i + 137*n**2 + 83*n**4 - 175*n**4 - 3*n**3 + 90*n**4 wrt n?\nAnswer: -48*n - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762930 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -633, -666, -627, -486, -213?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 251*q - 503*q + 52*q.\nAnswer: -702*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**2 + y**3 - 7*y**2 + (-4*y**2 - 3*y**2 + 2*y**2)*(2 + 1 - 2)*(-y + 2*y + y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 0*s + 0*s + (191*s + 1985 - 1985)*(-7*s + 3*s + 2*s) in the form n*s + i + m*s**2 and give m.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2101? (a) 5\/2 (b) -3 (c) -2\/7 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -85*x**2. Let s(f) = 19*f. Determine s(h(o)).\nAnswer: -1615*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Let j(d) = -d - 3 + 3*d**2 + 23 - 7 + d**3 - 6. Let p be j(g). What is the highest common factor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 44 = -4*x - 1756, -1805 = -4*n + 5*x. Suppose -4*g - g = -n. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = 0, 2*q + 4*p + 4 = -8. What is the lowest common multiple of 5 - (-4 + (q - -1)) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) -3\/7 (c) 4 (d) 204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 20*w**2 - 21*w - 5. Let m(x) = -21*x**2 + 20*x + 4. Let v(k) = -5*m(k) - 4*z(k). Find the second derivative of v(c) wrt c.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63471601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 3*g - 5. Suppose 88 = 5*p + 43. What is the remainder when o(4) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**3 + 2*f**2 - f - 2. Calculate a(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65311875)\/(-2040))\/375 + 21\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylljjjx. What is prob of picking 1 l, 1 x, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 1, i: 4, x: 1, l: 1}. Give prob of sequence lq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1043477, 2086947, 3130417, 4173887, 5217357, 6260827?\n\"Answer: 1043470*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21827113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/21 + (-4)\/14. Which is smaller: k or 1.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12308 (b) -0.2 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/18)\/((-3)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 13*g**2 + 13*g - 11. Let n(l) = l + 4. Let v be n(-3). What is the remainder when c(-14) is divided by (4\/(-6))\/(v\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24398, 47553, 70708, 93863?\n\"Answer: 23155*c + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2829 and 33051?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 705*t - 4070. Is m(70) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*u, -1139*h + 1143*h - 2*u = 6. Solve -3*y - 4 = 2*z, 5*z - 1 = h*y - 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/2 + 721*p**3\/2 - 32381*p**2\/2 + 477071*p\/2 - 1094913 = 0.\nAnswer: 9, 19, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 5*l**2 - 389 + 399.\nAnswer: l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39572, -79148, -118724, -158300?\n\"Answer: -39576*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t**3 - 19*t**2 - 6*t + 19. Let a(p) = 7*p**3 - 10*p**2 - 3*p + 10. Let z(w) = 11*a(w) - 6*u(w). Give z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f**3 + 2*f**2 + 3*f + 2. Let l be u(-2). Suppose 3*s = -s - l. Let y = s + 36. What is the highest common factor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52133236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 56*n**2 + 406*n + 329. Determine p(48).\nAnswer: 1385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172905591?\nAnswer: 3, 57635197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Let z(g) = 3*g + 2. Let b be z(2). Let n(a) = -8*a**2 - 1 + 4*a + 2 - a**2 + b*a**2. What is n(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.16 - 0.16. Which is the third smallest value? (a) 1 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17246, 69318, 156108, 277622, 433866?\n\"Answer: i**3 + 17353*i**2 + 6*i - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -327 and -0.051?\nAnswer: 16.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/6*36\/30 - (-48)\/(-6). Solve -129*b + 121*b = v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11057*i - 6192 = 11401*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 317771982 a multiple of 1034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598.105 millilitres in litres?\nAnswer: 1.598105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + 0*g**4 + g**2 + g**4)*(1 - 2 - 3)*(-3 - 3 + 4) as h*g**2 + q*g + p*g**4 + n + v*g**3 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 1)*(4*x + 2*x - 5*x)*(2 + 13 - 1) in the form i + c*x and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1216) + (sqrt(1216) + sqrt(1216)*1)*5 + -4) - ((5 + sqrt(1216) + 0 - (1 + sqrt(1216) + -4)) + -3)) + -4)**2.\nAnswer: -5984*sqrt(19) + 588833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 47. Suppose d + 0 = f. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a gram in milligrams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 6*m + 4*b - 16, -5*b + 14 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*t + 5493 = 505*t - 3874 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 7, f: 6, y: 4}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 145931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 + 3*d - 4. Let a be h(-3). Let u be (33 - 1) + a - -3. Suppose 299 = r + 20. What is the greatest common factor of r and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310 - q - 2366 - 2*q + 2*q**3.\nAnswer: 2*q**3 - 3*q - 5676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 5*c**2 - 4 + 4.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o - 87. Calculate the remainder when 48 is divided by q(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*k = -36, 3*n + 0*k - 58 = -k. Suppose n = -j - 3*j. Which is the smallest value? (a) j (b) -1\/3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6 - 0)*(-3473)\/453 + 3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 + 314. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.114 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 + 4*r**3 + 16*r**2 + 5*r**3.\nAnswer: -r**3 + 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7138*w + 215333 + 168141 = -688*w for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -277, 5, 0.17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6675328 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - -15) - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 10 = 16*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -388 (base 11) to base 2\nAnswer: -111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6958 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = -5*l + 76, 3*l - 26 = -p. Differentiate -18*d - p*d + 4*d**2 + 33*d + 6 wrt d.\nAnswer: 8*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3*x - 30. What is the remainder when x is divided by (-77)\/(-28) + (4\/(-48)*3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i + 6. Let k be v(-5). Let s(o) = -2*o + 3. Let t be s(0). Suppose h - 5*j = -6, t*h + 3 - 1 = -j. Put 8, k, h in descending order.\nAnswer: 8, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*f**2 - 62*f**3 - 69*f**3 + 133*f**3 - 2*f**5)*(-1 + 0 + 0)*(1 + 1 + 2)*(-4 + 0 + 2).\nAnswer: -16*f**5 + 16*f**3 + 192*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.971397 to three dps.\nAnswer: -23.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 + 14*u**3 - 13*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -572770, -572852, -572934, -573016, -573098?\n\"Answer: -82*q - 572688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 72487958. Let q be u(0). Let n = -46187958 - q. Round n to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1190*f*s*t + 9*f*s + 1125*f*t - 11*f - 1 wrt s.\nAnswer: -1190*f*t + 9*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0269 and -7.8?\nAnswer: 7.8269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 795216451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 4*l**2 - l**2)*(5 + 0 - 3) - 50*l**2 - 64*l - 89*l**2 + 142*l**2.\nAnswer: 11*l**2 - 64*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-4\/15)*q)\/q*q)\/(q*q*q**12*q))**3)**(-3\/8) assuming q is positive.\nAnswer: q**(321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5354 + 0.15.\nAnswer: -5353.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-13 - (2 + -2)) - (-53 + -24 + 82)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2086 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 564 - 546. Let n(g) = g**2 - 16*g - 19. Calculate n(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4999\/246 + -61\/3. Let c = 61\/41 - f. Let m be (-2)\/(-7) - (-40)\/(-42). What is the third smallest value in 3, m, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2934554.\nAnswer: 2, 7, 263, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**2 + 5*b + 158. Calculate the remainder when z(13) is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/95 and 19\/832980.\nAnswer: 15826620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4930.3795 less than 1?\nAnswer: -4929.3795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 25*d**2 - 41*d - 5. Let b be s(27). Which is greater: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (0 - (-7 - 4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -207647869235*l**4 + 179885535*l**3 - 51945*l**2 + 5*l.\nAnswer: -5*l*(3463*l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 5 - 159\/2*i**2 - i. Is g(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 2. Let r be m(-3). Let z = r + 8. Find the third derivative of z*t**4 + 0*t**2 - 4*t**2 + 5*t**2 - 6*t**4 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and -156480.2674743?\nAnswer: 156480.1374743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*7531\nAnswer: -753.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/4224*32*(-5)\/10*1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 + 340620974*b\/7 + 29005661982177169\/7.\nAnswer: (b + 170310487)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o - 116 = 78*o. What is the remainder when 144 is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -6*s. Does 40 divide s + -1 - (-242 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/18 - -2\/9. Let q = 296 + -1183\/4. Which is the closest to 1? (a) -0.5 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1716 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 289*t - 35 - 287*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.99999181 + -35. What is o rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 37 + -5 - 4 - -4 - (0 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*r + 57 + 6871 + 1454 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21326 is divided by 897?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -639836.\nAnswer: 13\/319918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/15 or -1008?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r - 5*t + 11, 0 = 3*r + 4*t - 8. Suppose -r*j - 621 = -149. Round j to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9934 or 9963?\nAnswer: 9963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from offooo. Give prob of picking 2 f and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -150*u**3 + 3*u + 3. Let j be g(-1). Let z = 154 - j. Let m = 49\/10 + -11\/2. Sort -0.2, z, m, 2\/9 in descending order.\nAnswer: z, 2\/9, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -6*n**2 + 1\/8*n**4 - 2\/3*n**3 + 1\/60*n**5 + 0 + 0*n. Determine r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 (base 12) in base 2?\nAnswer: -1011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - -4. Let x = -94 + k. Solve 0*d + 2*f - 12 = -2*d, 5*f = x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 19*h - 8. Let t be b(17). Is (t\/(-15)*2)\/(16\/600) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81363 is divided by 5983?\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10 + 0*m**3 + m**3 - 2*m**3. Let t be b(0). Suppose 0 = -j + 6*j - 4*a - 7, 2*j - t = -2*a. Solve i = 2*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/h**(1\/2))\/h)**(2\/3))**(-30))**(-14))**(-34) assuming h is positive.\nAnswer: h**4760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (1 + -1 - 14) - 1) + 7.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3386 - z - 9*z - 3387.\nAnswer: -10*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -37. Which is the closest to d? (a) 0.5 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*29\/(-1015).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 778805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*s - 5*u, -4*u + 25 = 2*s + 3. What is the third derivative of -q**3 + 8*q**2 + s*q**2 - 14*q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/20 - w**4\/2 - w**3\/2 - 19*w**2\/2 + 218*w. Let z be b(7). Solve -6*t + z = -9*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/2)*(11 + -13). Find the third derivative of -7*i**3 + 0*i**3 - 22*i**2 - u*i**3 + i**3 wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28220 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**4\/8 + r**3\/6 + 12*r**2. What is m(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45208, 90400, 135542, 180604, 225556, 270368, 315010?\n\"Answer: -5*y**3 + 5*y**2 + 45212*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338780384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 51 + 16. Let z be 351\/o + (0 - -2 - 1). Let b = z - -4470\/91. Is b greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16024 + 7814 = -822*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*j*l**5 - 2*j*l**3 + 2*j*l**2 - 5*l**4 - 5*l**2 + 7 wrt l.\nAnswer: 720*j*l**2 - 12*j - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/10)\/3*5)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 1, z: 4, j: 5, f: 1}. What is prob of picking 1 z and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -43. Let h be v\/(-4) + ((-60)\/16 - -4). Let f be (30\/9)\/(h\/(-27)). What is the greatest common factor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -10\/29 (c) 21\/158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653314971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:57 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5538148 - -5?\nAnswer: 5538154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:28 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + n**2. Let y be c(1). Suppose -t + y - 2 = 0. What is the second derivative of 15*h**2 - 12*h**2 - 2*h + t*h - 7*h**2 wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3786 + -87068\/23. Which is smaller: q or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 816\/7*h + 426\/7*h**3 - 4\/7*h**4 - 1844\/7*h**2 + 0 = 0.\nAnswer: 0, 1\/2, 4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -4\/3 (b) -1\/13 (c) -63 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa9 (base 12) in base 16?\nAnswer: -ce1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2016, 3562, 5108, 6654, 8200?\n\"Answer: 1546*b + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, 2\/5, 6, -1\/2.\nAnswer: -1\/2, -2\/5, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12120123201 - 31?\nAnswer: -12120123232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 16589*r - 763111. Calculate v(46).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtzxttzxttx. What is prob of sequence xx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) -5\/4 (c) 1.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/11 + 8*u**3\/11 - 10*u**2\/11 = 0. What is u?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765 and 147582.\nAnswer: 12544470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1583*c + 42264 - 5855 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 times -114\nAnswer: -35.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1691*z - 1703*z - 1692*z - 1973*z + 7049*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 301*z**3\/3 - 2674*z - 2197. What is the derivative of f(t) wrt t?\nAnswer: 602*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbl when three letters picked without replacement from jlmmclllcbmbccclcl?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 23. Sort 4, 1, o, -6 in increasing order.\nAnswer: -6, 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/129528485 and -5\/181339879?\nAnswer: 906699395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119527 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 194565 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*c + 27 = 48, -5*c = 8*l - 48 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998 + x + 998.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -756*h**5 - 70134*h**4 + 219538*h**3 - 230250*h**2 + 86202*h - 4600 = 0.\nAnswer: -575\/6, 4\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 + 241. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/24*(9 - 4\/(8\/(-22)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.4625 millilitres to litres.\nAnswer: 0.2234625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6901.\nAnswer: 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*n - 2 = n, -4 = 4*z - 4*n. Find the third derivative of 2*v**5 + z*v**5 - 4*v**2 + 2*v - 2*v wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6551 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9672?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 (base 8) in base 7?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 59*v - 56*v - 3, 3*c - 5*v + 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 5}. Give prob of sequence bfbb.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 3*l**2 - 4*l - 3. Let m be n(-2). List the prime factors of m\/(2*(-1)\/(-46)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 + 2 = 0. What is the first derivative of 2*f**2 - g*f**2 + 2 + 3*f**4 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3\/5 - 80424*r**2\/5 + 2008676*r\/5 - 11566656\/5 = 0. Calculate r.\nAnswer: 9, 16, 20081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:45 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, r: 2}. What is prob of picking 3 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -14*u**5 - 150*u**4 + 2158*u**3 + 11982*u**2 + 12112*u - 4488 = 0.\nAnswer: -17, -3, -2, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-4 - 2) - -4. Let q = t + -4. What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787*d = p - 785*d - 14, 5*d - 25 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00307325 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 17*q - 109. Let m be b(5). What is the hundreds digit of (-84)\/m - (-2775)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162.5 + -162.49999499. Round r to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x - 4. Calculate the remainder when 77 is divided by v(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 0, -7*u + 5*u + 2*w - 12 = 0. What is the second smallest value in -0.9, u, 1, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 6)\/((-2)\/2). Solve -5*n - 4*i + 4 = -1, t = 5*n + 2*i - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*n - 2*n - 8 - 11 + 30 - 10 to the form o*n + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16693719, -33387439, -50081159, -66774879?\nAnswer: -83468599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, h: 6, r: 6}. What is prob of picking 2 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 4*h + 1. Let a be g(-3). Let m be 0\/(-4) - a\/(-1). Let b be m\/12 - (-46)\/6. Solve -3*u + b*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:22 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, s: 3}. What is prob of picking 1 i and 3 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18784 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-6*-1*((sqrt(2299) - (0 + sqrt(2299) + sqrt(2299) + 0)) + (sqrt(2299) - 5*-2*sqrt(2299))) + -2)**2.\nAnswer: -13200*sqrt(19) + 41382018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s + 11*s + 16*s = 38*s - 6916 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 - 0.67. Let r = 0.04 - 0.34. Let q be (-3)\/(-7)*1\/(-3). Which is the second smallest value? (a) t (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p - 179*p + 60*p + 67*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -0.2, -2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*y + 422*y - 210*y + 15*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-69)\/(-230)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*p*x**3 + 3*l*x - 21*l - 4*p*x**4 + 12*p*x + x**5 wrt x.\nAnswer: -6*l*p*x - 48*p*x**2 + 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19471082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 767532379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -282*z**2. Let t(d) = -54293*d + 27148*d + 27143*d. What is s(t(c))?\nAnswer: -1128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 1. Let g(r) be the first derivative of r**4\/4 + 2*r**3\/3 - 1. Suppose 66 - 63 = 3*c. Give c*g(z) + 2*q(z).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(6 - 77 - 35)*(-2*l + l + 3*l) in the form g + m*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 353*z - 93. What is j(177)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*a = 0, -n = 4*n - a. Let b = -2 - n. Let g(w) = 4*w + 1. What is g(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1384, -1354, -1328, -1306, -1288, -1274?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228000 and 173280?\nAnswer: 4332000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31199 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1948, 1140, -214, -2120, -4584, -7612, -11210, -15384?\n\"Answer: -j**3 - 267*j**2 + 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, q: 7}. Give prob of picking 2 q and 2 t.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from hocvcvhvgcyo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**7\/168 + j**6\/60 + j**5\/80 + 34*j. Factor p(l).\nAnswer: l**3*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 - 2?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (18 + -14 - 2) + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*c - 4*b, -4*c - 9 = -b - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18808117061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-15))\/((-1)\/10*-4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = 25. Solve -z*l + 4 = 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 47 + 3*t + 3*t.\nAnswer: 6*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 680 = -11*f. Let n be 4\/(-1) + f\/(-32). Factor 1\/4*k**2 + n + 1\/2*k.\nAnswer: (k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.044 or -70.99?\nAnswer: -70.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-27))\/(50\/45)*1\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 211814 + 40186 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 411112*w**3 + 311594*w**2 wrt w.\nAnswer: 2466672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 43. Let d be y(-21). Let x = -57 - d. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5718 and 11\/60992.\nAnswer: 182976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - -1*sqrt(130) - sqrt(130)))*2)\/(sqrt(10) + (sqrt(40) + sqrt(120)\/sqrt(3) - sqrt(40))) + -6*(-4 + sqrt(208) + 3).\nAnswer: -68*sqrt(13)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*u**4 - 11 - 157*u - 8 + 24 - 6 wrt u.\nAnswer: 1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5 - 183*l**4 + 930*l**3 + 111750*l**2 - 1753125*l + 1640625 = 0.\nAnswer: -25, 1, 25, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:51 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81206227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114190*q**3 + 36167*q.\nAnswer: -685140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - 5) - (17 + -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11 + 3*x**2 - 3*x**2 - 3*x**2 + 2*x**2 - 9*x. Let p be d(-7). Suppose -2*y - 4 = -b, -3*b + p*y + 16 = b. Solve b*r - 1 = -9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10 and 73\/352?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 12) to base 13\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341515 (base 6) in base 4?\nAnswer: 102130313","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/473 (b) -2\/5 (c) -7\/18 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3039 - -3042. Let t(q) = -4*q - 6. Let v be t(-4). Let b be v\/2 + 2 + 1. Solve -l*h = -b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 2, w: 1, u: 5, s: 5, z: 2}. Give prob of sequence ls.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -21. What is the nearest to -0.1 in y, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21119 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -888 + 1225. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5684 + -5678. Let o(j) be the second derivative of 0*j**4 - 3\/2*j**3 + 0*j**2 - 1\/2*j**g + 0*j**5 - 16*j + 0. Find the second derivative of o(t) wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**3 + 39*s**2 + 12*s - 36.\nAnswer: 3*(s + 2)**2*(4*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/5 and 26\/791?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6*x**3 + 2*l**4 - 8*l**3*x**3 - l**2*x**3 - 4*l**2 - 1 wrt l.\nAnswer: 240*l**3*x**3 + 48*l - 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35959 is divided by 11981.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354524 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + k - 2*k + 8321 = 0, -5*k - 20 = 0. Suppose -q + 1104 = q - 4*c, a = 3*q - 3*c. Suppose 2*f - q = 16. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/924 + 3\/(-7))*0. Let c = 10 + -7. Solve -c*r - 9 = -m*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.9 to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8029440 a multiple of 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g**2. Let n(u) = 45397*u - 388*u**2 + 1 - 1 - 45397*u. What is q(n(a))?\nAnswer: 1806528*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(336) - (sqrt(84) - ((sqrt(84) - (sqrt(84) + sqrt(84) + sqrt(84)*2 + sqrt(84))) + sqrt(84))))\/(((sqrt(126)*1)\/sqrt(2))\/sqrt(9)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*o - 43, 0*k - 3*k + 3*o + 60 = 0. Let j = 3 - k. Let m = 10 - j. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3570 is divided by 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6)*((-1156)\/(-153))\/(-17)*12?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4) + 2054\/1580?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24530 is divided by 221.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4\/3*f**5 + 0 + 0*f**2 - 4\/3*f**3 + 10\/3*f**4 + 0*f = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifg when three letters picked without replacement from {i: 1, f: 3, q: 6, b: 1, g: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -37. Let u be 303 + (1 - d - -3) + -1. Suppose -4*z = -2*f + u, -3*f + z + 149 = -2*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.6. Let i = k - -3. What is the nearest to -2\/3 in -5, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (1 + 7 + 2 + (5 - 0 - 12)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/57*1)\/(((-2)\/(-76))\/((-2296)\/21812)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 5*b**3 + 15*b**4 + 5*b**4 - 23*b**4 as g*b**4 + n*b**3 + c*b**2 + k + j*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 = 17. Let n be (-7)\/r - 2 - 0. What is the smallest value in 3\/5, 1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*g - 5*v, -16 + 24 = -g + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30 = 4*c, -4*o - 5*c + 31 + 9 = 0. Let u be ((-5)\/o)\/(((-9)\/24)\/3). Suppose 5*m = -v + 6295, -5*v = 4*m - u*v - 5036. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(4\/3)*t))\/(t*t*t*t**(-33))*(((t*t\/(t\/(t*t\/(t*t\/t**(-2\/65)))))\/t)\/t)\/t**23 assuming t is positive.\nAnswer: t**(904\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-712)\/801)\/((-2412)\/81).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (2*sqrt(833) - sqrt(833) - sqrt(833))**2 + 3 - ((1 + sqrt(833))**2 + 0 - (-2*sqrt(833) + -2)**2)).\nAnswer: -2509 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u - 1. Suppose -5 = p + 2. Let k be (2 - 16\/7)*p. What is the tens digit of n(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11284 and 20608.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -42*b. Let s(v) = 4*v - 5. Let m = 25 - 20. Let k(z) = -1 + 5 - 2 + 2*z - 4. Let p(i) = m*k(i) - 2*s(i). What is t(p(q))?\nAnswer: -84*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 5*b + 26. Let y = 4 - 1. Suppose 4*j - 34 = -j + y*g, b = 2*j - g. Solve -a - j = 0, 11 = -z + 3*z - 3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7954902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 4410?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110100 - 10?\nAnswer: -10001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9300 in -0.6, -0.4, 0.5, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*r + 5 = 0, -4 = 4*s + r + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190 + -186. Sort -1\/3, 2, g, 0 in descending order.\nAnswer: g, 2, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sftt when four letters picked without replacement from fvfftffvsfttlv.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6954754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 16, v: 2}. Give prob of picking 2 f and 1 v.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -14, -21, -30, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178881 divided by -3?\nAnswer: -59627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81064930 divided by -16212986.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)\/n**12)**(-6\/5) assuming n is positive.\nAnswer: n**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2\/17, -0.5, 3, -0.018542?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70937, -70940, -70943, -70946, -70949?\n\"Answer: -3*c - 70934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*v = -18*c + 277*v + 155, 0*c + 8*v = 4*c - 248 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -469 - -9847\/21. What is the biggest value in 5\/4, -5, s, 0.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 53)*(-19 - -20) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d**2*z**3 - 3*d**2*z - 344*d*z**3 - 17*z**3 + 173013*z**2 wrt z?\nAnswer: 48*d**2 - 2064*d - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 12888.282333649?\nAnswer: -12863.282333649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 18623.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 310d + 5?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191764.\nAnswer: 2, 61, 103, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922 a factor of 636804728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -314, -470?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -16*t - 90. Let k be 2*-1*(14 + t + -7). Which is the nearest to k? (a) 0.1 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. Let y(c) = -c + 19. Let g be y(i). What is the highest common divisor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 73 + h - 953 - 5*h + 3*h. Let t be r(0). Let o = -441 - t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65079 = 65127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:58 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose 5*o = f + 20, o + j*o = 5*f - 20. Let a(p) = p**2 - 5*p + 6. Give a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 less than 1658\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j = 66*j - 91819. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345799 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -483, -489, -497, -507?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*m**3\/5 - 60*m**2 + 384*m\/5 + 16.\nAnswer: 4*(m - 5)*(m - 2)*(11*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168971 - 1525983 = -12*q + 10*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764166150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/264 - 11\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3565575, 7131133, 10696669, 14262177, 17827651, 21393085, 24958473, 28523809?\n\"Answer: -l**3 - 5*l**2 + 3565580*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124895 is divided by 20732?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5439554*u**3 + 2921316 wrt u.\nAnswer: -16318662*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from jozwoojoooooz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let c be ((-2)\/(-6))\/(((-85)\/(-30))\/(-17)). Let o be (0 - c - 12)*56\/(-20). Let a(s) = o - 2*s - 15 - 13. Give a(b(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*p - 4*b - 20 = 0, -4*p + 25 = -5*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -226428, 0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -5*w, 2 - 5 = -5*w - o. Suppose w = 3*v - 0 - 54. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a*(a**(4\/7)\/a)\/a*a*a*a**5*a**(-2)*a**(-1\/3)*(a*a\/a**(-2)*a**(-2\/5))\/((a\/(a**(-2\/15)\/a))\/(a*a*a\/a**(-4)*a)) assuming a is positive.\nAnswer: a**(1649\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 6, o: 3, k: 2, j: 1}. Give prob of sequence aj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 43 - 6*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5)\/(-4))\/5 - (-2046)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*k + 107*k - 69*k - 61)*(k + 4*k - 4*k).\nAnswer: -3*k**2 - 61*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 68*w + 3*w - 13*w + 14*w + 12*w.\nAnswer: -59*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 85083.38s?\nAnswer: 85083380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3*y**5\/80 - 3*y**4\/16 + y**3\/4 - y + 3. Let a(u) be the first derivative of s(u). Factor a(l).\nAnswer: 3*l*(l - 2)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (9 - 2 - 2)) + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/42 + 8*g**3\/63 - 11*g**2\/21 + 4*g\/7 + 201. Factor k(x).\nAnswer: 2*(x - 1)**2*(x + 6)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912059 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372043 is divided by 185936?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99) + -1 - -6*sqrt(33)\/sqrt(3)*1)**2.\nAnswer: -54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*((sqrt(12) - (sqrt(12) + 1)) + sqrt(3) + 5))**2.\nAnswer: 32*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.03, -0.1, 2039 in decreasing order.\nAnswer: 2039, 7.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*d = 30, 37299*p - 5*d + 57 = 37301*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/40*2*(-5)\/(-45)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 541705.29 and 307578.\nAnswer: 849283.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(-60)\/(-80).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*l - 35 + 27, -2*l - 5*n = 32 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let n(v) = 2*v**2 + 2*v + 4. Let h(i) = i**2 + 1. Let c be (-6)\/(-1 - (-2)\/4). Suppose -t = 3*t - c. What is t*h(u) + y*n(u)?\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 224813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 - -0.2. Let g = 0.8 + -0.3. Let i be 0 - 4 - ((-245)\/42 - -2). Sort g, y, i.\nAnswer: y, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080167398 rounded to 4 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 1)*(1 + -4 + 2). Let y be (-14)\/(c - -3)*(-14)\/(-49). Suppose 2*d - 330 = 4*l, l = 5*d + y*l - 792. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 2*v + 96*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -22. Solve -b - 11 = c*s, -b + 0*b + 14 = -3*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 101. Let w be 11\/4 - (15\/(-20))\/(-1). Let -2\/7*t + s - 6\/7*t**w = 0. What is t?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 - 16\/(-9). Let z = 1225 + -1219. What is the units digit of (-420)\/z*(-1)\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + 23 + -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 - 16*g**2 = 0. What is g?\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388187533 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*((-244)\/305)\/((-3)\/90).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -272 + 276. Let j be 12\/10*70\/308. Which is the closest to j? (a) -2 (b) -0.08 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/8)\/y**(-3)*(y**1\/y*y)**43*(y**0\/y*y*y**5)**(-13) assuming y is positive.\nAnswer: y**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 61, -4\/5, -1\/6, -0.1, -33\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 30479814.\nAnswer: 1\/5079969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 + -120. What is the third derivative of 3 + 58*s**4 - 22*s**2 - 106*s**4 + 67*s**v - 1 wrt s?\nAnswer: 456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (sqrt(12)*-2 - sqrt(3))*-3).\nAnswer: -60*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5200203, 22\/9 in decreasing order.\nAnswer: 3, 22\/9, -5200203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 2*t**2 - 13*t - 3. Calculate g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410735 take away -826?\nAnswer: -4409909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4614 + -4?\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 164612 + 130?\nAnswer: 164742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1720735.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2052 and 213.\nAnswer: 145692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 4, e: 5, v: 4}. Give prob of picking 2 l.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -35.1. Let i be (-3)\/(-2)*(-8)\/6. What is the closest to i in -4, 2, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -6 - (-1 + 3) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -a + 4*r - 444, -94*a + 81 = -r + 192 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 3*c + 3*v, -c + 0*c - 2*v = -125. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 5.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**4 + 19*y + 179.\nAnswer: 12*y**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2913.\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ea5ddd - -c?\nAnswer: 2ea5dea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5\/3 - 14*f**4\/3 - 55*f**3\/3 - 2*f**2 + 84*f + 72 = 0.\nAnswer: -6, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145885?\nAnswer: 5, 163, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3361 is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/15)\/((-25)\/(1000\/16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2947474229 to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3\/2)\/((277650\/1500)\/617)*-4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {p: 3, d: 2, t: 1, c: 4, i: 4}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 0. Let g be 0\/(4 + -5) - n. Suppose -4*l = l - 15. Solve 1 = d + x, l*d - 15 = -g*d + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/68*(-671)\/(-4026))\/(2\/2).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 208.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 84. Suppose -5*d + t*d - 18 = 4*y, 5*d + 9 = -y. Let k be 10\/3*(-3)\/(-2). Sort d, -3, k in decreasing order.\nAnswer: k, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3162.5 + -3162. Which is the smallest value? (a) n (b) 29 (c) 1\/3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 454723?\nAnswer: -454726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102142023 (base 5) to base 10\nAnswer: -427763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 4*y**2 + 262*y - 280*y - 2*y**2.\nAnswer: -5*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9669849 millilitres to litres.\nAnswer: 0.0009669849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**4 - 53*l**3 - 38*l**3 - 71*l**3 + 118*l**3 + 16*l wrt l.\nAnswer: 96*l**2 - 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**2 - c**2)*(4 - 3 - 3) + (1 + 1 + 0)*(c**2 - 3*c**2 + c**2).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/7570 and 50\/395911.\nAnswer: 3959110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 50, 153, 344, 653, 1110, 1745?\nAnswer: 2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 23 - (2 + -14 - -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344 - 334. Solve 12*v - p*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 3. Let f be n(-1). Solve 8 - 28 = -f*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8781*s**3 + 27*s**2 - 10*s - 5. Let x(d) = -2195*d**3 - 6*d**2 + 2*d + 1. Give -2*g(p) - 9*x(p).\nAnswer: 2193*p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 695 = -9*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(5) + 4 + (sqrt(5)*-3)**2.\nAnswer: sqrt(5) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 16*o - 22. Let i be c(16). Let r be (i\/10)\/((-2436)\/140). Let x = -1526\/87 - r. What is the common denominator of x and 63\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 59*k + 3849134 = -2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2797*a**2. Let v(r) = 6*r**2 + 9*r**2 - 12*r**2 - 5*r**2 + 5*r**2. Calculate m(v(u)).\nAnswer: 25173*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 25*o - 108. Let l be h(19). Solve -3*d - 22 = 2*w, -4*d + l*d = w - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*x - 2*o, 352*x + 57 = 354*x + o. Solve 4*j = -2*n, 29*n = 4*j + 26*n + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -388, -2, 82\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = 0. Let p be 4*(-1 + f\/3). Let v be ((-1)\/2)\/(2\/p). Solve 0*m = m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence viln when four letters picked without replacement from {v: 3, l: 3, z: 3, r: 2, n: 1, i: 2}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 371336379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118303851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(108) - sqrt(108)*1) + 2*(sqrt(108) + -1) + (sqrt(108) - (-5*sqrt(108)*1 - sqrt(108))) + -2)**2 + 1.\nAnswer: -864*sqrt(3) + 17529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529847?\nAnswer: 911, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z + 9. Let w(r) = r - 1. Let k(u) = -6*w(u) - x(u). Let l be k(-5). Is (-28)\/(-8)*4\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x + 2*z, -5*x + 0 = 4*z - 17. Suppose -3*f - 14 = f + 5*o, 5*f = -o - 7. Put x, f, 4 in descending order.\nAnswer: x, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -496 - -499. Suppose 470 = -h*v + 878. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(162) - (-5 + (sqrt(162) - (-1 + sqrt(162))**2))) + -2 - (3*(sqrt(24) - -1*sqrt(24)))\/(sqrt(300)*3).\nAnswer: -842 + 448*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 36*(-1)\/((-9)\/30)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11384624 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9411 + 9432 = 3*c, 0 = -5*j + 3*c - 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5360 - 4720. What is the remainder when y is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 0\/(3 - 1). Let q be 4\/1*82\/8. Suppose -x + q = n*m, -x = m + m - 19. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*r - 9*j - 229, 0 = -5*r - 4*j - 564. What are the prime factors of (14\/(-4))\/(14\/r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -230738 - -3?\nAnswer: -230735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*h**3 + 173*h**3 + 74*h**3)*(-h**2 - h + h**2 - h**2).\nAnswer: -201*h**5 - 201*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*r - 60 = 0, r = -267942 + 267938 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(4)\/sqrt(2))**2 + 2 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 0 - (-2 - -2) - (349 - 362).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:15 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34832 - 9074 = 24*x - 318*x - 1220*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603658 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -0.5. Let k = 1772 + -1771.5. Which is the third smallest value? (a) -0.1 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*c - w, 0*c - c - w = -9. Suppose c = g - 0. Suppose -g*u = b + 1 - 2, -5*u = 10. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2 (c) 6\/13 (d) 1\/5 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5610, 11158, 16706, 22254?\nAnswer: 27802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1177316508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c**3 + 21*c**2 - c - 28. Let g(k) = -4*k**3 - 10*k**2 + k + 13. Let j(v) = 2*b(v) + 5*g(v). Give j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86149802.\nAnswer: 2, 43074901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62111 - 62036. Let k = -252 - -427. What is the greatest common factor of r and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11890, 10132, 8374, 6616?\n\"Answer: -1758*p + 13648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 3*n + 3*n. Let a(j) be the first derivative of -j**6\/360 - j**3\/3 + 1. Let t(d) be the third derivative of a(d). Give t(p(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/20 (b) -0.1 (c) 0 (d) 3 (e) 8\/7 (f) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 77.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*q - 1227 + 113, 3*q - 2*f - 838 = 0. Let w be q\/(-18) - 5\/(30\/4). Let h = 53 + w. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162626, -162571, -162516?\n\"Answer: 55*r - 162681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:26 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164970)\/(-1692)*(-30)\/65?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144104 rounded to four dps?\nAnswer: -0.1441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3319 + 8467. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5) + 2 + sqrt(5) + (sqrt(5) + -1)**2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 10. Suppose -3*l + 21 = 4*v, 7*l - 4*l - 21 = 3*v. What are the prime factors of z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, n: 7}. Give prob of picking 1 n and 1 m.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(30) + sqrt(30))\/sqrt(2))\/(sqrt(3) + (sqrt(3) - (sqrt(108) - 3*sqrt(108) - sqrt(108))) + sqrt(3) + sqrt(3)).\nAnswer: 3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r - 63*r + 31*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52349*d**2 + 2 - 52349*d**2 + 213*d**3)*(-8*d - 9 + 9).\nAnswer: -1704*d**4 - 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**4 - 7*b**4 + 4*b**4 + (-b**2 + b**2 - b**4)*(-1 - 4 + 3) to c*b + s + f*b**4 + q*b**3 + k*b**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 861? (a) -0.1 (b) 5 (c) 0.4 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 397587578*s. Let c(h) = 2*h**2. Calculate c(t(n)).\nAnswer: 316151764359812168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t + 12. Suppose -t = -q - 3. Find the third derivative of -q*p**2 + 2*p**2 - 3*p**2 - p**4 - 3*p**4 wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 48 + 276. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 5. Let r be w(-6). Let v be 5 + -5 + r\/2*-4. Find the third derivative of 14*y**2 + 4*y**v + 51*y**4 + 4*y**2 wrt y.\nAnswer: 1224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-45)\/(-21)*(670\/30 - 23)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 30*y**2 + 34*y - 15. Let o be m(-29). Let b be (-1 - -3)*(-7)\/2. Let s be b\/(28\/o)*-125000. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -693426 + 693426 + 1489*j to a*j + v and give a.\nAnswer: 1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**3 - 8*l**3 - 2*l**3 + 14*l**3 + 4*l**2 - 2*l**5 wrt l.\nAnswer: -120*l**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25312490, 25312467, 25312444, 25312421, 25312398?\nAnswer: 25312375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let d(l) be the second derivative of l**5\/4 - l**4\/6 + 5*l**3\/6 + 2*l**2 + 75*l. Let y(v) = -4*b(v) + d(v). What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -251431086895.\nAnswer: -251431086895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**7\/3360 - i**6\/480 + i**5\/160 + i**4\/2 - 2*i. Let s(j) be the third derivative of a(j). Find u such that s(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8215993 centimeters to millimeters.\nAnswer: 8.215993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovfooovfo. What is prob of sequence vf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 - 80*h**4 - 580*h**3 - 1880*h**2 - 2800*h - 1568 = 0. Calculate h.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. What is the derivative of -1 - c + 2*f**2 + 1 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 53099184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.291 - -3.431. Put -2.5, w, 2\/3 in ascending order.\nAnswer: -2.5, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:11 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10251\/16 + 640. What is the common denominator of -11\/12 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 - 4*u**2 + 8*u. Let b(x) = -12*x**3 - 12*x**2 + 24*x. Let h(j) = 5*b(j) - 14*f(j). Determine q, given that h(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*l + 78 = -16*l. What is the closest to 2\/3 in 2, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6394667.\nAnswer: 23, 278029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 56075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-2)\/(-1) + 0. Suppose z*n + 0*n + 8 = 0. Find the common denominator of -50 and n\/14 + (-597)\/(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.914219 - -40.085886. Let i = -44 + n. What is i rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 393*r + 841*r - 448*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -2\/3, 0.9, 1\/8, 0.5, 119, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -306681\/569 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -1475000*m**4\/3 + m**3\/6 - m**2\/2 - 5*m. Let d be o(1). Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.007 + 0.007. Let h = n - -4. Let k = 0.2 - -0.3. What is the second smallest value in h, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, u: 3, y: 4}. Give prob of sequence ubub.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 0*b**2 + 2*b**2 + (-b + 0*b + 3*b)*(8591*b - 635*b + 3084*b - 3054*b + 11672*b).\nAnswer: 39314*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -24*f. Let l = 121 + -78. Let y(s) = s + 43 - l. Determine y(r(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - a**2 + 4*a - 3. Give b(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.462 + 1671.538. Let d = f - 1670.466. Let k = -0.006 - d. Round k to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + t + 8*t)*(4 + 3 - 5).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1303 + -1298. Let m be (23 - -7)\/u - 4. Let w = 24 + -170\/7. Which is the second biggest value? (a) w (b) m (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Suppose -70 = -5*g - 7*m + 2*m, -26 = -g - n*m. Calculate the remainder when 1\/(-6) - (-940)\/24 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341008 by 21313.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.58213kg in grams?\nAnswer: 71582.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 114*a - 708 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1086 divide 146061976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from {u: 3, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -3. What is the units digit of -2*(-5 - x\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*y - 61 = 2*m, 377*y + 43*m = 372*y - 74 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-2 - (-2 + 1)). Suppose j = 6*t - v*t + 24, -2*j + 5*t = -47. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 16*s - 6. Let g be c(-12). Suppose -52 = -4*n - 3*x, -3*n + g = -2*x + 5*x. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6760\/297 + -252\/11. Suppose 0 = 64*v - 69*v + 30. Let r be ((-6 - v) + 9)\/3. Is r at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2867582.\nAnswer: 2, 317, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 114?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 38, 109, 230, 413?\n\"Answer: 2*b**3 + 7*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1 (b) -0.2 (c) -3 (d) -3165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125035 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9834 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-1560)*1180*(-9)\/6.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 274*r**2 + r + 274.\nAnswer: -(r - 1)*(r + 1)*(r + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:01 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4\/5 - 3*t**3\/5 + t**2\/5 + 3*t\/5 - 2\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 309*b**4 - 296?\nAnswer: 1236*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 1 + 127 = 32 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 8*y**3 + 9*y**3 - 5 + 1 + 25*y**4 - 4*y - 18*y**3 to the form f + k*y**2 + g*y + w*y**3 + u*y**4 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 12. Suppose 1 = -l + 7. Let f be m(l). What is the tens digit of 156\/(-9)*(-18)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 6*z + 10. Let k be x(-4). Solve -k*a + 4*n - 18 = 0, -28 = -4*a - 5*n + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*j - j = 1, 5*j + 4 = -c. Let y = c + 66. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**0)*z**(-6)\/z*z**(-2)*z*z\/z**(-5\/4))\/((z*z\/z**1)**(2\/59))**(-5\/7) assuming z is positive.\nAnswer: z**(-11111\/1652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -715.2 plus -0.778?\nAnswer: -715.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 - 36 = 0. Let a(b) be the third derivative of b**5\/60 + 5*b**4\/12 - 2*b**3\/3 - 3*b**2. Let v be a(l). Is v at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936*o - 2574 = 1830*o - 912*o. What is the highest common divisor of 3679 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, k: 2}. Give prob of sequence qkk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1215999 - 8178.585\nAnswer: -1224177.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 1, f: 2}. What is prob of picking 1 b and 2 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*q**3 + 741*q**2 + 8274*q - 2115 = 0. What is q?\nAnswer: -47, -15, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19058 - -228557\/12. Find the common denominator of 73\/24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-64 - (17 + -82)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -46*k. Let y(g) = 9125*g - 10. What is d(y(z))?\nAnswer: -419750*z + 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 8) in base 3?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/13)\/(p\/(p\/((p**(-1)\/p)\/p)))*p**(-1\/11)\/(((p\/(p*(p*p**(-2\/7)*p)\/p))\/p)\/p)*((p**(-2\/3)\/p)\/p**(6\/7))**(-2\/49) assuming p is positive.\nAnswer: p**(865259\/147147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9190509600 rounded to the nearest one million?\nAnswer: 9191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001111010 - -1111?\nAnswer: 1001010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 + 23 = 5*j, -j - 3*n - 8 = 0. Suppose j*x - 2*k - 140 = 0, -3*x - 5*k - 53 = -4*x. Solve 7 = -2*c + 5*z + x, -z - 7 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(76) + sqrt(76))\/(4*(sqrt(4)*2 - sqrt(4)))*-5.\nAnswer: -35*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 + 272308*u**2 + 14349772*u + 9445488 = 0.\nAnswer: -52, -2\/3, 90822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:43 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**3 + 24*z**3 + z**2 - 13*z**3 - z**4 - 2 + z + 3*z**4 in the form q + n*z + f*z**3 + w*z**4 + c*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 4*sqrt(70)*2)\/(-2*sqrt(10)*6).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11*m = 12*m + 28, -3*r = -5*m - 38. Solve r*d = 474 - 456 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 4*m + 2*m - 3*m. Let f(y) = -y**2 + y**2 - y**2. Determine f(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 679765813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000 - -1?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385177 is divided by 245.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 14*m - 33. Let g be z(11). What is the common denominator of 10\/60*(153\/32 - g) and 59\/40?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 24 = 4*k, k - 3 = -3*g - 2*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(p - 1 + 6 - 3)*(15 - 4 + 9).\nAnswer: 40*p + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let v = -125.0196 - -0.0196. Let f = v - -84. Which is the biggest value? (a) -0.3 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 - d**3 + 9*d**2 + 122 - 122 + 7*d in the form u*d + s*d**2 + a + z*d**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4\/5))\/f**(-2\/3) assuming f is positive.\nAnswer: f**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2151 - -124539. Round g to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*a = 445, -198 = -3*m + 2*a + 1117. Let s = m + -300. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 368, -5, -2, -1, 8, -4 in decreasing order.\nAnswer: 368, 8, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13)*z)\/z*z**(-1\/4))**(-2\/57) assuming z is positive.\nAnswer: z**(5\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -878603 (base 11) to base 5.\nAnswer: -324333042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufflffffyyyuy. What is prob of picking 1 u and 1 l?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 183*l**3 - 432*l - 626*l**3 + 187*l**3 + 504*l**2 + 181*l**3.\nAnswer: 3*l*(l - 12)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 5*v + 8. Let i be j(7). Let t(h) be the third derivative of 7*h**4\/24 - 4*h**3\/3 - 8*h**2. Let u(p) = 15*p - 17. Determine i*u(f) + 13*t(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.02 (b) -2\/15 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-52)\/8*18\/(-702))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/3)\/((-2)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -895*b + 191*b - 533*b as m*b + w and give m.\nAnswer: -1237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 450*j**3 - 13959*j**2 + 218700*j - 708588.\nAnswer: -3*(j - 6)**2*(j + 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = j. Suppose -3*v - 2*g = -59, -j*g = 2*v - 26 - 24. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*u**2 + 0 + 1\/4*u**5 + 0*u + 7\/4*u**4 + 15\/4*u**3.\nAnswer: u**2*(u + 1)*(u + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/x*x*x)\/(x\/x**(-3))*((x**(-2)*x)\/x)\/(x*(x*x**6\/x)\/x) assuming x is positive.\nAnswer: x**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-60)\/(-75) - 3032\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((2*(sqrt(396) + 1*sqrt(396)) - sqrt(396)) + -2)**2 + 0 + -5)*-4.\nAnswer: -1728*sqrt(11) + 85512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 - 5*g**3 - g + 2*g**3 - 2*g**3. Suppose 200 = -413*c - 213. Calculate x(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 185, 0.5, -24.9, 0.\nAnswer: -24.9, 0, 0.5, 4, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13858434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 + 2*t**5 + 0*t**5 + (-t**4 + t**4 + 2*t**4)*(4*t + t - 3*t) + 0*t**5 + t**5 - 2*t**5 - 2*t - 2*t**5 + 2*t.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 203963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5\/16 (c) -3\/8 (d) -5 (e) 4 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x + 9 - 11\/4*x**2 + 1\/4*x**3.\nAnswer: (x - 6)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*l**3 + 16043*l**2 - 146884*l - 2 wrt l.\nAnswer: -228*l + 32086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13 = c, -2 = l - c - 7. Suppose l*i = 103 - 13. Calculate the greatest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = -3*z - 4*o, 5*z = o - 53. What is the common denominator of (2*2\/(-12))\/(z\/27) and -119\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293522\/463 greater than or equal to 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -175?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1260)*-2 - sqrt(1260)) + sqrt(1260))\/(sqrt(63)\/sqrt(225)).\nAnswer: 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*i = -2646, -2*i = -0*i - 6. Is 99 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = w + 11. Suppose a + 5*l = -a + 118, -w*a = -4*l - 361. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278889147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f - 24. Suppose -k - f = -2. Let g be k*1\/((-20)\/15). Put 1, g, -1 in descending order.\nAnswer: g, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 16, 1, -30, -83, -164, -279, -434?\n\"Answer: -d**3 + d**2 - d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u - 6. Let d(c) = 1. Let b(n) = -4*d(n) - m(n). Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 948, -10, 2, 80 in ascending order.\nAnswer: -10, 2, 80, 948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microsecond in nanoseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 0.2. Let k = -6 - -11. Suppose 4*q + u = -2*u + 23, u + k = 5*q. Which is the third smallest value? (a) -1 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 677502 and 7068.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 + -98. Suppose -2*c + 13 = -y - 5, -5*c + o = y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*n - 4*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 3*o**3 - 2 - o**2 - 1 in the form n*o**3 + l*o + h + x*o**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - (-180)\/(-15)) + 25752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228200\/582725)\/((-4)\/(-11))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 27*i**2 + 53*i - 3. What is n(3)?\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.329778 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 7*y - 1. Let h be w(-6). Suppose -h*l + 162 = 32. Suppose l = 5*b + 1. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(20) - sqrt(80)\/(sqrt(36) - sqrt(4))) + sqrt(20) - sqrt(20))*3)\/(4*1*sqrt(64))*4)**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -113.3 and 12.866.\nAnswer: -100.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76472 is divided by 25488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 times 53.9?\nAnswer: 79394.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(11\/4))**26*(m**3\/m*m**(3\/10))\/(m\/m**(2\/7))**20 assuming m is positive.\nAnswer: m**(-2841\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37644745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {d: 4, b: 4, r: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*v**3 + 37*v**3 + 1236*v**3.\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + j**2 + 6*j - 6*j + 10*j.\nAnswer: -6*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.408 or 93?\nAnswer: 0.408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 0*v + 2*v)*(-2*v - v + 0*v + 17*v - 2*v - 10*v + (6*v - v - 4*v)*(-3 + 2 + 3) + 9 - 7*v - 9) + 0*v + 0*v - v**2.\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m\/m**(2\/19)*(m\/(m\/(m*m\/m**(-3\/7))))\/m**(6\/11) assuming m is positive.\nAnswer: m**(8453\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, -1\/3, -4, 4, 6, -3, -52?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -6. Suppose -3*b = -a*b - 291. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 114 = 12*a. What is the second derivative of 7 - 32*u - a*u**2 + 21*u + 0 + 14*u wrt u?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/7)*a**5)**(-1\/2)*((a\/a**(-1\/3))\/(a**(-2\/19)\/a))\/a**(-2\/13) assuming a is positive.\nAnswer: a**(-1373\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5432518 litres to millilitres.\nAnswer: 543.2518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/4 - 2*o**3 - 11*o. Find the second derivative of q(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2337 + 2 + (3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 89, 138, 189, 242, 297, 354?\n\"Answer: j**2 + 44*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31539*x**3 + 94574*x**3 - 31513*x**3 - 31513*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27084 divided by 13542.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -5) + (6 - 2) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 6) to base 10.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12) + 87\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40\/423 - 72167\/7191. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 66. Let u be 1 + (-4 - 3\/g*-3). What are the prime factors of (1 + -64)*((-1)\/3 + u)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - 2) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -318, -616, -914?\n\"Answer: -298*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-3)\/12 + (-135)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8286333.\nAnswer: 3, 11, 293, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) - (sqrt(81) + 5*sqrt(81)*-1)) + sqrt(81))\/(-1*sqrt(18)\/sqrt(2)))\/(-1*sqrt(192)*-2).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(3\/(-9)). Let k = i - -4. Suppose -m + 1 = 0, k*r + 4*m - 46 = -0*m. What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 1\/3, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 86 = -4*j, -j = 5*a + 204. Let z = -207\/5 - a. Let s be (-3)\/(-4) + (-1)\/4. Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4542?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -385.8 + 475. Let k = z + -84.2. What is the second smallest value in 0, 0.01, k?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 11 = 0. Let k(m) = m**2 + 4*m - 1. Let s be k(-5). Let c = p - s. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1982 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -2 - -3) + 32 + -16. Factor -10*a**2 - 5*a**3 + 11*a**5 + 5*a + 9*a**5 + s*a**4 - 10*a**3.\nAnswer: 5*a*(a + 1)**2*(2*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -68. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 4*y + 15, 3*j - 1022 = -3*y - 986 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295608861 to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -35\/328 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502308.\nAnswer: 2, 3, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -13*k**7\/21 - k**4\/4 + 15*k**2\/2 - 7*k - 4. What is the third derivative of i(y) wrt y?\nAnswer: -1560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 11*m**2 - 11*m - 10. Let c be q(-10). Let h(p) = 0*p - p**2 + 2*p - p + 8. Let r be h(c). Solve -g = g - r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z - z - 3*z. Let r(o) = -416*o - 834. Let c be r(-2). What is b(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -1825720?\nAnswer: -1825717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (-4 + 0 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82700827 and 1654.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7020472 to the nearest integer?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -91?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - t - 26, w = 4*t - 1809 + 1814 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(128) + sqrt(128) + -2)*-6 - sqrt(128))**2 - sqrt(128)) + -5*(sqrt(128) - (0 + sqrt(128) + -2 + sqrt(128) + sqrt(128)))**2 + -4.\nAnswer: -2184*sqrt(2) + 19194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -168277.\nAnswer: 3\/168277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 373 - 373. Put w, -0.1, -2\/67 in descending order.\nAnswer: w, -2\/67, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 52*t + 21*t + 28*t + 81 = 0, 3*t = -3*m - 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 6*q - 23 - 33 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83, -95, -5, 187?\n\"Answer: 51*u**2 - 165*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*p + 2956, 0 = 8*r - 6*r + 2*p - 5962. What is the greatest common divisor of r and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1814 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*v + 76279, -s - 3 = -4*s. What is the tens digit of v\/(-18) - (240\/135)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*d - 6, 7*g = 11*g + 5*d - 27. Suppose -26*c = -31*c + 20. Solve -c*o + 12 = -o - 3*n, 5*o = -g*n - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*q**2 - 13*q + 25*q - 9*q as f*q + z*q**2 + v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 14. Let q be t(-4). Calculate the greatest common factor of q and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122741674.\nAnswer: 2, 11, 507197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvzyyzvvylvvv. Give prob of sequence zv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + (1 - 3 + 3)*(-4 - 2 + 5) - 2 + 2 + 2 + 3 - 2 + 1 - 1 - 2 + 1 - 2 - 2 + 6 + 4 - 3 + 0)*(-23*x**2 - 9 + 9).\nAnswer: -138*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13378?\nAnswer: 2, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 + 19. Let o(t) be the first derivative of 2*t**3\/3 - 10*t - 4291. Give 3*c(y) + 5*o(y).\nAnswer: -2*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*k**3*o + k**3 + 76*k**2*o - 35*k**2 + 415*k*o - k - 17*o - 3 wrt k?\nAnswer: -246*k*o + 6*k + 152*o - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 26*p + 101. List the prime factors of k(-17).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4583 + -4582. What is the nearest to -1 in f, -1\/6, -3\/7, 0.01?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, l: 1}. Give prob of sequence ff.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -118, -405, -962, -1879, -3246, -5153?\n\"Answer: -15*z**3 - 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)\/s)**(7\/3) assuming s is positive.\nAnswer: s**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7894339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjqqjjjjjqjrrjj. What is prob of picking 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2280973387 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -20. Let p = 143 + -575\/4. Are p and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 140\/50*(7 + -2). Suppose 0 = -2*s - 0*i - i + d, 28 = 4*s + i. Let 0 + 8 + s + 20*f**2 + 0 + 35*f = 0. Calculate f.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1.1. Let m be (-2)\/35 - 246\/(-630). What is the second biggest value in 0.4, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - e1e7a?\nAnswer: -e1e90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*m = -2424*m - 84915 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 16*l**2 - 13*l - 28. Let o be (180\/54)\/((-4)\/(-18)). Let s be i(o). Let m(t) = -t**3 + 2*t - 1. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -185, -174, -147, -98, -21, 90, 241?\n\"Answer: b**3 + 2*b**2 - 2*b - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/60 and -69\/13520.\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1 = a, 2*a - 170 + 159 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97888 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12+-626\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + q)*(2*q + 0*q - 4*q)*(-4*q + 5*q - 2*q) + (-22 + 9*q + 22)*(q**2 + q**2 + q**2) - 4*q**3 + q**3 + 5*q**3.\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41474 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -1730, -2637, -3318, -3773, -4002?\nAnswer: -4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.44 in -1, -726, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -341.693805.\nAnswer: 341.593805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.92 - -0.52. Round r to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -60*p - 29. Let q be t(4). Let s = q - -264. Which is the closest to 2? (a) -20 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114 or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -17 - ((-464)\/12 - -22). Which is the closest to o? (a) -17 (b) 0.1 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 9576, -0.068, -5, 5, 0.2.\nAnswer: -5, -0.8, -0.068, 0.2, 5, 9576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.102546 minus 67522?\nAnswer: -67531.102546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13 = 5. Suppose -w*f = -2*f - 70. Suppose 2*h = 7*h - f. Sort -1, h, 1.\nAnswer: -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**3*o**3 - 5*b**3*o**2 - 81*b**2*o**3 - b**2*o**2 wrt b?\nAnswer: -102*o**3 - 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + (-39)\/12. Let o be d\/(-12) - (-2)\/(-8). Let q(t) = -6*t - 19. Let n be q(-4). Solve o*f = n*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 6. Let c(i) = -i**3 - 5*i**2 - 3*i + 4. Let n be c(-3). What are the prime factors of p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.409 - -0.909. Which is the second smallest value? (a) 0.1 (b) j (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(171) + ((-1 + sqrt(171))*1 + sqrt(171) - sqrt(171)))*-4)**2.\nAnswer: -768*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -122*l**3 - l**2 + 2*l - 1. Let y = 17 + -15. Let h be m(y). Calculate the common denominator of h\/(-84) + (-16)\/(-56) and 37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 - -287. Which is the nearest to -1? (a) 0.1 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.05 (b) -1\/12 (c) -0.2 (d) 3274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6141 weeks in days?\nAnswer: 39.2987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1458980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 60311619?\nAnswer: 60311619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2*f + 1\/3*f**3 - 1 - 2*f**2. Suppose 6 = -b + 4*b. What is o(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/4 - 4*q. Let g(c) be the first derivative of -2*c**2 - 8. Determine z(g(v)).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - c + 5*c = -90, c - 72 = -4*q. Let x(z) = q - 29 + z**2 + 11. Let k(v) be the first derivative of 2*v**3\/3 + 2. Determine x(k(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6520*a - 6408*a = -11312 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)*x)**40*x\/x**5*x**(1\/3) assuming x is positive.\nAnswer: x**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/12*4*-2. Suppose -q = q - r. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560225.\nAnswer: 5, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5536*r - 177157. Determine s(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g - 12*g + 3 + 6*g. Let d = 42 - 24. Let b be d\/4*(-20)\/(-15). Determine c(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = -22. Suppose -m*s = -2 - 10. Solve -h - 6 = -s*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (6 + -2 - 1). Let b be (-11)\/((q*-1)\/6). Suppose -b = -x - x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**3*z**2 + 137*r**3 - 7*r**2*z**2 + 3*r**2*z wrt z.\nAnswer: -10*r**3 - 14*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 547, -5, 0.028, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/312 and -28\/20553.\nAnswer: 164424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - -7. Suppose 95 - 131 = -6*l. Let w be (-78)\/l*(-1 + (-4)\/4). Calculate the highest common divisor of w and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 5 - (0 + (5 - (-3)\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4 + 7*i**4 + 3*i**3 - 31*i**2 - 5*i**4 - 11*i**4 wrt i?\nAnswer: -144*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 + 37*p**4 - 299*p**3 + 215*p**2 + 3324*p - 3276 = 0. Calculate p.\nAnswer: -3, 1, 6, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 37 - -44) + -37.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -345a390 (base 12) to base 4\nAnswer: -212123222130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 8:38 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7562434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -23*m**8\/168 - m**6\/60 - 11*m**4 - 626*m**2. Find the second derivative of y(l) wrt l.\nAnswer: -920*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5786751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 8\/15*u**3 + 2*u - 1\/20*u**4 + 19\/10*u**2 + 12. Let r(p) = 0. What is p?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020708979.\nAnswer: 3, 23, 331, 44087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 56. What is the remainder when 115 is divided by w(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let i(o) = -230618270*o**2. Determine i(m(p)).\nAnswer: -230618270*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (-4 + sqrt(98) + -1)**2 + ((2*sqrt(98))**2 + 2 - sqrt(98)) + (2 + 0 + sqrt(98) + 3)**2.\nAnswer: -7*sqrt(2) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 18\/1 + -2. Solve 25 = 12*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55626 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81477?\nAnswer: 3, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v - 19. Let r be -4 + 9\/((-27)\/(-30)). Is 7 a factor of w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.8 - -51. Let k = j - -11. Let m = 1.8 + k. Which is the biggest value? (a) -2\/11 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 4.1?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 29*z - 368. What is j(8)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/46, 1, 0.07?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -79, -118, -159, -202?\n\"Answer: -r**2 - 34*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544005 and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 8 = h, -2*g + 12 = 3*h. Suppose -3*d = h*d - 120. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let l(c) = 1. Let j(a) = -g(a) - 4*l(a). Calculate the remainder when j(-7) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113792092*g*v**3 + 3703*g*v**2 + 32*g*v - 2*v**2 + v + 1 wrt v?\nAnswer: 682752552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 366811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 664643 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 21*i**3 - 50*i**2 - 72*i.\nAnswer: -i*(i - 18)*(i - 4)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 533 (base 15) to base 14\nAnswer: 5db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 20 = 3*y, -5*y = -2*m + 3 + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1272*a - 1277*a + 79 = -3*h, a - 15 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -w + 5, 3*b - w - 10 - 13 = 0. Let g = b + 5. Let t be ((-1)\/(-2))\/((-1)\/g). Let y(p) = -p**3 - 7*p**2 - 6*p - 4. Determine y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -26 - (3 + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 37*y**3 - 3*y**2 + y + 2. Let s(l) = l**3 + 5*l**2 - 7*l + 2. Calculate the remainder when b(1) is divided by s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p**2 + 5*p - 2. Let y be i(2). What is the second derivative of -28*z**2 - z**y - 10795*z**3 - 76 - 2*z + 10795*z**3 wrt z?\nAnswer: -12*z**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l**3 - 25*l**2 - 10*l + 16. Let d be n(-5). What is the greatest common factor of d and 1557?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.283 to the nearest integer.\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320552089.\nAnswer: 11, 13, 1301, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1259*l = -1257*l - 10. Suppose -65 - 30 = -y. What is the highest common divisor of l and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from wwwwwowowoowwwwowow?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -7244.2.\nAnswer: 36221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5 - 11*c + 10 + c**2 + 9*c. Let w = 22 - 4. What is the remainder when o(8) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 983, 3355, 7975, 15593, 26959, 42823?\nAnswer: 63935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2. Let p(v) be the second derivative of v**4\/6 - 2*v. What is m(p(h))?\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 97, 97, 123, 187, 301, 477?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 765771.6 millennia in years?\nAnswer: 765771600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(2\/59)*i\/i**38*i)\/(i*i**(-3\/17)*i*i**(-16)))**36 assuming i is positive.\nAnswer: i**(-714564\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/53 - 259\/424. Which is the nearest to -22? (a) 4 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-38)\/(-4))\/1. Let i be (0 + 6)\/(2 + 6\/6). Solve i*u + 4 = -3*v + u, -3*v = -2*u + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -24*g**4 + 8*g**2 - 10*g - 6423. Let v(c) = 19*c**3 - 3*c + 2. What is -3*l(y) - 16*v(y)?\nAnswer: -16*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4 - 16123\/19628\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07528 in -5, 1\/4, 2, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30*10)\/(2\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1010101001100001000 (base 2) to base 16\nAnswer: -55308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2926 + 2932. Solve -8*h + 18 = -l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*b**5 + 100 + 20*b - 74*b**2 - 23\/4*b**4 - 40*b**3 = 0. Calculate b.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j + 29. Calculate p(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.047 - -3.147. Let t = h - 3. Let m = -105211\/147315 + -2\/21045. Which is the nearest to t? (a) 0.3 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 10) + 0 - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (128\/48)\/((-4)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19788491 divided by -2.\nAnswer: -19788491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-6)*147\/(-343). Let x(b) = 37*b**3 - 2*b**2 - 2. Let f(z) = 1407*z**3 - 77*z**2 - 77. Calculate m*f(a) - 77*x(a).\nAnswer: -35*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1649*n = 1280*n + 34686 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opop when four letters picked without replacement from opoooopopooppooopo?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 9*a - 2. What is v(-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - v = 36. What is the common denominator of v\/(-15) - (-677)\/(-2730) and 87\/16?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 4*n + 4*n + 11*n - 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 + -475. Let x = -180.1 - h. What is x rounded to zero dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/14)*((p\/p**(-5))\/p*p)\/p*(p**(-2\/3))**(-1\/12) assuming p is positive.\nAnswer: p**(323\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 0. Let u = j + 38. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t + 2*t)*((4 - 1 - 2)*(22 - 80 - 45) + (2 + 3 - 6)*(3 + 0 - 2)) + 5 + 2*t - 5 in the form d*t + v and give d.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b07 (base 14) to base 13.\nAnswer: 23932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/2 (b) -0.2 (c) -891\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {h: 4, i: 5, q: 5}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*f - 567, 3*f - 3*r + 2*r = 347. Suppose 1 - 1 = -7*q. Let p be 1 + q + 43 - -2. Calculate the highest common divisor of p and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/11091236 and -45\/65694244.\nAnswer: 854025172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012197 rounded to 6 dps?\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 9, i: 1, b: 2, p: 2, f: 3}. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 32. Suppose -4 = -r*u + 5*o - 23, 0 = -4*u - 4*o - 108. Let h be (-2 + (-2)\/(-3))\/(u\/231). What is h rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 62, 3, 132, -2 in decreasing order.\nAnswer: 132, 62, 3, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lloloyyyytfllyqy. What is prob of sequence yyl?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44.6807 and 25709.7.\nAnswer: 25754.3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 240 = 4*w, -4*x + 208 = 7*w - 3*w. Find the third derivative of 57 - 30 + x*b**2 + 59*b**5 - 27 wrt b.\nAnswer: 3540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14729*x - 265003. Calculate i(18).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334935165*n**4 - 2630*n**2 + 39537*n?\nAnswer: 8038443960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 683426.9ml?\nAnswer: 683.4269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + (-2 + 5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192216757*h + 362720803 wrt h?\nAnswer: -192216757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.062*-0.08\nAnswer: -0.00496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -230*m + 2500 + 201*m - 397*m - 125*m - 215*m wrt m?\nAnswer: -766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101402 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 27. Suppose 2*j - 3*l + 26 = 0, -3*j - o*j + 5*l - 60 = 0. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) 3.6 (c) -1\/4 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b + 4. Let j be w(0). Suppose 5*k - 85 = -y, j*y = 2*k + y - 17. What is the greatest common divisor of 176 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4 + 9\/3). Let q be 57\/12 + g\/(-4). Suppose q*z + 0*n - n - 64 = 0, 2*z + n = 27. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 332 + 5?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 634\/7, 6\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14595361*m + 14408640?\nAnswer: -14595361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, r: 2, n: 2}. Give prob of sequence jrr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*2 + (-3 + 0 - -28) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2602631?\nAnswer: -2602634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m**2 - 7*m - 6. Let f(s) = -17*s**2 + 9*s + 7. Give 5*a(g) + 4*f(g).\nAnswer: 12*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171467907 to the nearest integer?\nAnswer: 13095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729 and 41409.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*(-3 + 121\/44).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975374212.\nAnswer: 2, 243843553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4674 and 379373?\nAnswer: 2276238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398831?\nAnswer: 109, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 462638 (base 12) in base 5?\nAnswer: 241432413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 14*p + 9*p)*(2 + 1 + 2) - p - 5 + 5.\nAnswer: 139*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.47115 years?\nAnswer: 0.0847115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.255345278 - -0.3.\nAnswer: 0.555345278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -509634 divided by -23?\nAnswer: 22158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*n - 737 = 5*v, 5*v = 5*n - 730. Let i = -73 - v. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8434 and 0.5.\nAnswer: 8434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/34 and -221 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**4 - 7*d**4 + 4*d**4)*(-1 - d + 1)*(2 + 2 - 1).\nAnswer: 24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7005943.\nAnswer: 7, 1000849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 4, g: 2, y: 4}. What is prob of sequence zgzz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133183739.\nAnswer: 13, 67, 152909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-217)\/(-155)*100\/7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4704\/(-5096) + 154\/26. Let h(l) = -6*l**2 + 8*l. Let m(r) be the first derivative of 4*r**3\/3 - 5*r**2\/2 + 1. What is s*h(x) + 8*m(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/21 + (-52)\/(-14). Suppose 3*j = y*c - 3 - 2, -3*c + 8 = 2*j. Let n = c + 5. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*q = 8, -3*q - 11 = -2*l - 5. Sort 1, -13, l, 6 in increasing order.\nAnswer: -13, l, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-3)\/18*-24. Let b = r + 26. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214032573 divided by -71344191\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 2, c: 1, v: 1, g: 1, r: 1}. What is prob of sequence vg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*u - 961, 603 = 3*u + 2*r - 105. Let w be (-6)\/u*(-267)\/(-39). Let a = w - -5\/91. What is the second smallest value in -0.4, -0.05, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l - 168. Give r(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/78 + 2074*f**3\/39 + 1075369*f**2\/13 - 5577*f. Factor v(r).\nAnswer: 2*(r + 1037)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 1608*p**2 - 3219*p - 1610.\nAnswer: (p - 1610)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 66*n = -71*n + 27, -5*k + n = 63 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -1)*3\/6. Let c be 1 - 1 - (w - 7). Calculate the greatest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/3 - (1 + 10\/(-15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5546 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -16*w + 638. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.341 and -0.296730691158.\nAnswer: -0.637730691158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008397 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -43. Let a = 49 + l. What is the smallest common multiple of a and 8*(15\/(-6))\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - 3) + -151 + 222?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2000231 - 3?\nAnswer: -2000300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(352\/(-40)) + 1\/(-4). Which is the nearest to 5? (a) -0.3 (b) o (c) -8\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18814 divided by -29\nAnswer: -18814\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13549372743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 9*m - 8*m + 3, -5*m + 1 = -9*y - 0*y + 6*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 g when four letters picked without replacement from gdgdgggd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/7)\/o)\/o)\/(o**2*o)*o**16*o**(-32) assuming o is positive.\nAnswer: o**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**3*t - 382*d**3 - 7*d**2*t + 2*d**2 - 3 wrt d.\nAnswer: -48*t - 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20832 and 1232.\nAnswer: 229152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/3 - 99712*a\/3 - 2485620736\/3 = 0.\nAnswer: -49856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1302 (c) 25704 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -18 + -4 + 8 - (5 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 78*l - 2. What is the units digit of w(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -435.1 - -513. Let m = 74 - n. Let b = m + -0.1. What is the third smallest value in b, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (0 + sqrt(13) + sqrt(13))**2 - ((sqrt(104)\/sqrt(4))\/sqrt(2) - sqrt(13)) - (4 + sqrt(13) + 1)**2*-1).\nAnswer: 10*sqrt(13) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s**3 + 2*s**2 + 11*s + 13. Let f(x) = 3*x**3 - x**2 - 5*x - 6. Determine -13*f(g) - 6*r(g).\nAnswer: 3*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30623082.\nAnswer: 2, 3, 7, 53, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*-1*(sqrt(152) - sqrt(152)*2))\/((sqrt(128) - (sqrt(128)*1 + sqrt(128) + sqrt(128) - sqrt(128))) + (sqrt(648) - -1*sqrt(648) - sqrt(648))))**2.\nAnswer: -912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -54. What is the tens digit of (-12)\/8*(k + 498\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -75693984.49+1\nAnswer: -75693983.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/25)\/(-2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 111 = 804*f + 423 + 214 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {q: 5, o: 3, m: 1}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -624.63?\nAnswer: 7495.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235877 to the power of 1\/2, to the nearest integer?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-15))\/((-7)\/(6888\/(-4))). Let k = y + 734. What is the greatest common divisor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*((r\/(r\/(r\/(r\/(r*(r**4*r)\/r)*r))*r))\/r)\/r)*r\/(r*r**(1\/18)))**28 assuming r is positive.\nAnswer: r**(-266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 56, -0.01, 2, 0.05?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 455, 0, 30, 5, -1 in descending order.\nAnswer: 455, 30, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.89266 minutes to nanoseconds.\nAnswer: 5033559600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125015779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2504304 and 83\/151776?\nAnswer: 5008608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {l: 3, g: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 9}. Give prob of picking 2 n and 2 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 16*y**2 - 34*y - 39. Let i be c(-19). Suppose 4*h = -5*u + i, -h + 5*h + 314 = u. Calculate the lowest common multiple of 2 and u.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 15*v**2 - v + 5. Let q = 34 - 18. What is the lowest common multiple of o(-15) and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14362 is divided by 897.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -396*n**2 + 4560*n + 7646. Determine z(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 2, -97, -2163?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5115, 5594, 6075, 6558, 7043, 7530?\nAnswer: 8019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.242 + 0.032. Let j = -0.09 + s. Which is the nearest to 2? (a) j (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -208, -312, -416, -520?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170) - (sqrt(170) + -2*sqrt(170)) - sqrt(170) - sqrt(170)) - sqrt(170))\/(sqrt(30)\/(sqrt(3)*3)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-568)\/4828 - (-242)\/34) + -3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 12*g - 5*g - 6*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j - j - 2*j)*(-2 + 3 - 2) - 8*j + 5*j - 2*j)*(-3*j - 3*j + 5*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from {f: 1, z: 2, i: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/14*-4*10\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7616 + -7225. Let m be (-1 - 7)\/2*-26. Suppose d = 2*n + 3*k, 3*n - 4*k - m = 457. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -0.0613?\nAnswer: -7.0613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3541*u - 3538*u + 1 = 0, -4*v + 5*u - 5 - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -42, 1210, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9569959183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(1200) + 1 + 2 - ((sqrt(1200) + sqrt(1200) + 1)*2 + 5))*-1)**2.\nAnswer: 28800*sqrt(3) + 1080576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -116, -96, -68, -26, 36, 124?\n\"Answer: q**3 - 2*q**2 + 19*q - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*k**3 - 5*k**2 + 3*k**2 + 2*k**2 - 47*k**3 + 11*k**3.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 276721*r**5 + 736831*r**2 wrt r?\nAnswer: 16603260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/(-5))\/(-4)*2302 - -6?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-15))\/((-65)\/(-78)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 33 + 20 - 529*a to j*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 + 1\/(-2). Let n be ((1 + 53)\/t)\/(-1). Let b be 4\/(-10) - n\/(-5). Solve -g - 26 = b*r, -3*r - r = 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -412143 - 1044?\nAnswer: -413220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 28. Let g be d(-16). Suppose g*z - 2*x = 86, -2*z + 2*x = -0*z - 38. Calculate the smallest common multiple of 22 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.395 times 1\nAnswer: 0.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.67 + 0.33. What is the smallest value in 0.5, -0.5, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - b - 23, 0 = 893*s - 892*s - 5*b - 85 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -503.81*2\nAnswer: -1007.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7476002.\nAnswer: 2, 3738001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.06 - -0.06. Let o = 3 - n. Let w = -0.0243 - 0.2757. What is the second biggest value in -0.4, 0.2, w, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i**3 - 17*i**2 + 4*i - 13. Let n(l) be the first derivative of 11*l**4\/4 - 8*l**3\/3 + l**2 - 6*l - 4200. Determine 13*n(z) - 6*y(z).\nAnswer: 5*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 19. Let w be u(-7). Let v = 15 + -11. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 6. Let u be (x\/5)\/(4\/40). Let j(p) = p**3 + 4*p**2 + 2*p + 2. Calculate j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 124*l - 3843.\nAnswer: -(l - 63)*(l - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11845441507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.599 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6837 * -1.6\nAnswer: -10939.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 2.15534596036059?\nAnswer: -1.84465403963941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 19*u + 90. Let z be (0 - 4) + 2 - (7 + -3). Let d be y(z). Solve -2*l + d = 2*l + 2*k, 4*k = 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1.08\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*u = -7*u - 6, -4*n + 2*u - 16 = 0. Let z be n\/((-3)\/4*2). Is 9 a factor of (-1*z)\/(1\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33692, 33690, 33688, 33686, 33684?\nAnswer: 33682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 47. Let k(b) = 2*b**3 + 4*b**2 - 2*b - 2. Let p be k(-3). Let o = p - y. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -44*s + 852. What is the remainder when (-1 - -3)\/(10\/395) is divided by c(19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 14 + 36 - 4 = -9*p, 0 = 5*q - 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {b: 1, n: 1, v: 1, a: 1, d: 2, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -1 + 6*j + 1\/2*j**2 + 1\/4*j**4 + 5\/3*j**3. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u**3 - u + 1. What is x(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 4*f**2 - 4*f + 15. Let s be z(3). Suppose -5*p - b = -s, -25*b + 30*b + 5 = -3*p. Solve 2*o - o + p = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 98*v + 111*v + 57*v.\nAnswer: 283*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = -0*f. Suppose -4 = -u + 3. Suppose 151 = 3*a + u. Calculate the greatest common factor of a and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 18 - (1190\/35 - 28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33343?\nAnswer: 33343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/2 - 194\/15. What is the common denominator of t and -79\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732707?\nAnswer: 257, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 24*v**2 + 38*v + 266. Is t(-28) a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*q + 34, 2*r = 3*q + 5 - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1953185, 7812894, 17579075, 31251728?\n\"Answer: 1953236*i**2 + i - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2 + 6\/(-2)). Let k(y) = 64*y**2 + y - 3. Let g(m) = -222*m**2 - 3*m + 10. Let h(o) = -2*g(o) - 7*k(o). Give h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -399, -21, -196?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198832793591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12000 and -13692023255?\nAnswer: 13692035255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 165*k**3 + 7*k**2 + 261*k - 1304. What is the hundreds digit of v(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 1. Let w(v) = 4*v**3 - 6*v**2 - 3*v + 8. Calculate 6*u(k) + w(k).\nAnswer: 4*k**3 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1796 from 0.00575.\nAnswer: -1795.99425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*j = -100*j - 12. Suppose 385 = j*c - 123. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -3245\/6 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-5\/6)\/w)\/w)\/(w*w**(8\/5)))**33*(w**(-1\/7)\/w**(-1\/5))**(1\/27) assuming w is positive.\nAnswer: w**(-276503\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101100 + 111101111011111?\nAnswer: 111111111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 > 697\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 7}. Give prob of picking 1 a and 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 + 16 + 19*w - 17*w**2 + 4*w. Let f(i) = 2*i**2 - i. Let m(t) = -c(t) - 5*f(t). Determine z, given that m(z) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087462 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 1 + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u**2 - 6. Let q(f) = 21*f**2 + 5. Let z(t) = 5*d(t) + 6*q(t). Let l(p) = p - p - 53*p**2 + 54*p**2. Give z(l(k)).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 60c3?\nAnswer: -60bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/(-1))\/(18\/(-36)). Let n = z - -24. Find the third derivative of 6*r**2 + 2*r**6 + 9*r**n + 22 - 22 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -372.1 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 851167 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(400)\/(-1*sqrt(8)*4).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13772 - b**2 + 4734 + 3241*b - 3240*b)*(1 - 1 + 2*b).\nAnswer: -2*b**3 + 2*b**2 - 18076*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5 = -o - 0*o, -5*m = 2*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a. Suppose 5*v = 5*h + 25, 0 = v + 2*v - 3. Calculate the remainder when (1 - -5)*(3 - 2) is divided by u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/37 or 1?\nAnswer: 18\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((sqrt(800)*-1 + sqrt(800) + sqrt(800))\/(sqrt(10) + sqrt(250)*4))**2).\nAnswer: 7015\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -347802?\nAnswer: 347792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/5 - 1460*f**3 - 612048*f**2\/5 = 0. What is f?\nAnswer: -82, 0, 3732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - (sqrt(168) + 2*sqrt(168)))\/sqrt(8))\/(-2*sqrt(28))*-2.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-489)\/(-489))\/((-1)\/(16\/(-2))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i + i + (2 - 6 + 2)*(i - 3*i + 6*i)*(20 - 14 + 18).\nAnswer: -193*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -1116, -1\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (3 + sqrt(208) + -2)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 5*s - 6. Let v = 14 + -3. Suppose 0 = -y - 4*d - 3, -y = -7*d + 4*d - v. Let z(i) = -2*i**2 - 6*i + 7. Determine y*b(m) + 4*z(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1838667 or -1?\nAnswer: 2\/1838667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1111985 - -1573884. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 7. Let z be o(3). Suppose -2*u + 9 = -g, z*g - 2*g = u - 12. Let f = -1.1 + 1. Which is the smallest value? (a) 1 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 336150?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:31 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2177 + -1412. What is the remainder when (-8)\/12*(-8)\/(48\/y) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.8, 1, 1.8, 0.2, 0, -2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -200835 + 82?\nAnswer: -200773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/11 (b) 1 (c) 5 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 4, -997 in increasing order.\nAnswer: -997, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 17 = -10*m + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let o(i) = 4*i**2 + 5*i. Let f(x) = -x**2 - x. Let u(v) = -9*v**2 - 10*v. Let d(b) = 6*f(b) - u(b). Let p(q) = 5*d(q) - 4*o(q). What is p(a(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86 - 84 + 221)*(2*b + b + 0*b + (-b + 1 - 1)*(-2 - 1 + 2) + 0*b + 3*b - b) to the form m + y*b and give y.\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n**2)*(2*n**2 - 47*n - n**2 + 21*n).\nAnswer: -n**4 + 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*s = -604, 192 = h - s - 2*s. Suppose 0 = 4*k - 4*g - 424, -2*k + h = 2*g - 0*g. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054048 rounded to the nearest 10000?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/159046 and 53\/3372.\nAnswer: 954276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51923453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*sqrt(5) + 1 + sqrt(25)\/(sqrt(5) - (-3*sqrt(180) + sqrt(180))).\nAnswer: -194*sqrt(5)\/13 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -4*v. Sort -4, -0.2, v in ascending order.\nAnswer: -4, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65471364 divided by 4\nAnswer: 16367841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8276 + -588. Let n = -4083 - l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 21*f**2 + 18*f + 11. Let j be u(20). Let g = j + 41. Solve 2*w + g = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 110202010000?\nAnswer: -110202010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1\/7 + 14203\/49 + 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:11 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:51 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1023 and 744.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) - -1*sqrt(756))*6*-5)\/((sqrt(5040)*-2)\/(sqrt(15)\/sqrt(3)*1 + sqrt(5))).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 7*q**2 - 3. Let k be x(5). Suppose 0 = o - 0*o - 10. Suppose 0 = j - o + 2. Calculate the highest common factor of k and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)\/(4\/52). Let f = -7 + a. Is 68 - (f + 2 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 12, 17, 24, 33, 44, 57?\n\"Answer: i**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44340240 (base 5) in base 16?\nAnswer: -5e781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -9 - 3) + 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 3. Let u(i) = -2*i - 2. Determine -4*g(f) + 5*u(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 16 + 12 + -11 + 0 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 0.1, 1, 11279, 0.3 in decreasing order.\nAnswer: 11279, 1.3, 1, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3 (c) 2 (d) -6\/7 (e) -2 (f) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 2*h - 29*h - 112.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 3\/4)\/(-62*(-25)\/775). Which is the fourth smallest value? (a) 1\/63 (b) f (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1514 + -45400?\nAnswer: -51314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 11*w**2 + 28*w + 12. Let u be s(6). Let m(t) = -16*t**2 + t. Let k be m(1). Put -4, k, u in descending order.\nAnswer: u, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -2*p - 12, 3*p + 9 = s. Let c(a) = 11*a**3 - 2*a**2 + 2*a - 2. Let o(w) = 45*w**3 - 9*w**2 + 9*w - 9. Determine s*c(b) - 2*o(b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153010 - -153081. Let o = -7 + 1. Let c = 3 - o. Calculate the remainder when d is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10540)\/2821 - (-288)\/84.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00466847 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g + 95 = 39*g. Let w(f) be the second derivative of -13*f**4\/12 + 5*f**2\/2 + 304*f. Let j(x) = 7*x**2 - 2. Determine g*j(h) + 2*w(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3\/5, 0, 0.384, -2.7, 3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1713032 rounded to two decimal places?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-2)\/4). Let l be (65\/10 - 5)*8\/(-30). What is the nearest to l in d, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000351372 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -37. Let v = 167 - x. What is the nearest to 1\/3 in -2\/3, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of (-976)\/(-6)*(-1953)\/(-62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.494253l?\nAnswer: 494.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 + 1\/20*j**5 + 1\/4*j**2 - 1\/84*j**7 + 1\/60*j**6 - 1\/12*j**4 - 1\/12*j**3 - 4*j. Factor x(m).\nAnswer: -(m - 1)**3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -234)\/31 - (-1 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 15*f**8\/28 + 7*f**4\/4 - 33*f. What is the third derivative of c(j) wrt j?\nAnswer: 3600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from kksskwsksktkkbsks.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 2*k**2 + 2*k**2)*(-1942 - 1433 + 2940).\nAnswer: -870*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 + 135. What are the prime factors of w*(2485\/63 + 3)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**3 + 5*c + 35. Let n(y) = 4*y**3 + 3*y + 17. Give 6*m(w) - 10*n(w).\nAnswer: 2*w**3 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*c**2 + 68*c**2 - 13*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:47 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 72 = 82. Let d be (-2)\/(-1) + 5 + 2\/x. Let r(i) = -i**3 + 8*i**2 + 2*i - 10. Determine r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffjkijijijkljkljj. What is prob of sequence fkl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287 or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589512030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0123 + 1.9877. Which is the second smallest value? (a) 110 (b) -1\/10 (c) p (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32705 + 196721\/6. Which is smaller: 83 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Solve 4*f = -b - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/176 or 343?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-3))\/(8\/(-12)). Suppose -4*u + i*n + 28 = 0, -3*u - 5*n - 11 = -4*u. Calculate the lowest common multiple of u and 316.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 6, 3*l + 6352 = 2*j + 6413 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7 + 7*l**3 - 11*l - 5*l**2 - 3*l**2 - 8*l**3. What is the units digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 49*s**2 + 0*s - 17\/12*s**4 - 65\/6*s**3 + 0. What is the first derivative of k(l) wrt l?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -436*k - 2064. What is the remainder when 4754 is divided by d(-5)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(2*q**2 - q**2 + 0*q**2) - 3*q**2 - 4*q**2 + 13*q**2 - 4*q**2 + 8 - 8 + (4*q**2 + q**2 - 3*q**2)*(0 - 3 - 1).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 71117.34 kilometers?\nAnswer: 71117340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -1\/3, -3, 5\/8, -481, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i**2 + 2*i**2 + 4*i**2 - 4*i + i**2 - 1. Let r be z(-2). Let q be 4 - -2*(-1)\/(-2). What is the greatest common divisor of r and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169183057?\nAnswer: 169183057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0 + 1\/6*j**3 + 0*j + j**2 + 1\/8*j**4. Differentiate u(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -1 (c) 14 (d) 3 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150442056 and 6268419.\nAnswer: 150442056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x + 5. Let h be g(7). Let u(s) = -s**3 + 8*s**2 - 8*s + 1. Let m be u(7). Is 33 + (m\/3 - h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152, 311, 470, 629?\n\"Answer: 159*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 11) to base 14.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**3 + 3*i**2 - 10*i. Let o(u) = u**2. Let v be ((-2)\/10)\/((-10)\/(-50)). Let f(y) = v*k(y) + 3*o(y). Find the second derivative of f(s) wrt s.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254316392 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:36 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6133 + 8581*t - 2857 + 4280 wrt t?\nAnswer: 8581","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 877 divide 58566060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373262400 to the nearest integer?\nAnswer: 19320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:13 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-55)\/(-77)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39055 and 5006851.\nAnswer: 25034255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.096. Let m = 1464 - 1456.304. Let u = m - k. Round u to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 6, -10 = 3*b + 3*z - 1. Let s be 18\/(-15) - (-2)\/3. Is b bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**2 - 7*h**2 - 7*h**3 + (1 - 1 + 2*h)*(-h**2 + 1 - 1) + 0*h + 0*h + h**3 + 4*h**2 + 4*h**3 - 5*h**3 - h**2.\nAnswer: -9*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b = 10. Let a = b + 159. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165343*c - 165343*c - 165349*c - 165346*c + c**2 + 661381*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698391936?\nAnswer: 2, 21081187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 - -341. What is the remainder when 503 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8318 - 4.1682. What is the nearest to -18 in -0.2, -0.1, o, -0.6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*c**2 - b**3 - 7*b**2*c**3 + 46*b**2 - c**2 wrt c.\nAnswer: -4*b**3*c - 21*b**2*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 202469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by (5\/10)\/1*92.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*o - 8, -5*f = -3*o + 6*o + 44. Let w = -5 - f. Suppose -l - w*x - 1 + 9 = 0, 5*x = -10. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9511318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - 4*b**4 + 3*b**4)*(-5 + 2 + 1) + (b**2 + b**3 - b**2)*(-343*b - 153*b - 85*b + b + 3*b - 3*b + (2*b + 0*b + 0*b)*(0 + 0 + 2) + 2*b - 5*b + b).\nAnswer: -576*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g + 11. Determine v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 1 - 4*h + 3*h. Let t(q) = 3*q + 6. Let f(n) = l(n) - t(n). Let k be f(-6). Solve -o + 6 = j, 2 = -k*o + 3*j + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = c + 933, -2*i - 101 + 569 = -2*c. Let q(m) = -8*m**3 - 152*m**2 - 147*m - 2769. Calculate the remainder when i is divided by q(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, t: 4, r: 2}. What is prob of picking 1 r and 1 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20*n**2 + 12*n**2 + 3*n + 5*n**3 - 1 + 10*n**2 - n. Let m be w(-3). Let c = m + 186. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -32. Let a(r) = -9 - 13 + r**2 + 14 - 10*r. Let q be a(11). Solve 3*x = i + b*i - 13, -q*i + 11 = -x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3 - -2)\/(4\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 22*u + 13*u**3 + 21*u + 3*u**2 - 10*u**3 in the form w + c*u**3 + g*u**2 + d*u and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63045, 63041, 63037, 63033, 63029, 63025?\nAnswer: 63021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.953 to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1541 - 1459 = -0*x - 209*x + 553 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**2*i**3 - 98966*g**2*i**2 - 2*g**2 + 20*g - 368 wrt i.\nAnswer: 12*g**2*i**2 - 197932*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*9\/(27\/(-12)). Calculate the highest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-4))\/(-13)*(-2)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s**14)))**(-39)\/(s*s*s**(-6\/11)\/s*s*s)**(-17\/3) assuming s is positive.\nAnswer: s**(-5853\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.26 from 12633.\nAnswer: 12632.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 = 3*i - 6, -4*w = 12. Suppose -i*x - 3*p = 6, 4*x - 3*p + 15 = 35. Let u(h) = 5*h. Let c(d) = -2*d. What is x*u(l) + 4*c(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44335635269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdu when three letters picked without replacement from wnuwnmd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-40)\/(-16))*-25. Find the third derivative of -6*k**6 + 29*k**5 - 103*k**2 - 10*k**d - 11*k**5 - 5*k**5 wrt k.\nAnswer: -720*k**3 + 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.1 (b) -8\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 16) to base 8\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 8*p + 1. Let m be k(7). Suppose -u - 3*u = m. Put -1, u, 1 in increasing order.\nAnswer: u, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t - 118546 = -52*t - 4*n, -3*t + 39526 = 4*n. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. Let w = 21 - 20. Which is the closest to w? (a) -1\/5 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 19660?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + -1*sqrt(17)*-2)) + 2 + sqrt(17) + sqrt(68) + sqrt(17))**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 + 7. Let t(x) = 2*x**2. Give c(t(b)).\nAnswer: -24*b**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 5) + (20 - (18 - 19))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/(13 + 363\/(-44))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**9\/126 + 121*k**8\/168 - 79*k**5\/60 - k**3\/2 - 2880*k**2. Find the third derivative of a(n) wrt n.\nAnswer: 480*n**3 + 14520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/270 + d**5\/60 + d**4\/108 - d**3\/18 - 24*d. Factor g(o).\nAnswer: -o*(o - 3)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 8*b**2 + 8*b - 8. Let r(m) = m**3 + 3*m**2 - 3*m + 3. Let a be 24 + 3 + (0 - 1). Let i = -18 + a. What is i*r(c) + 3*y(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 1\/5 (c) -5\/2 (d) 2.2105 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 39\/195 + (-206)\/(-70)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1113271628 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38682 + 626482*y - 38682.\nAnswer: 626482*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/900*-3)*(-11)\/110.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -26*m + 91. Let u(y) = -57*y + 183. Calculate -9*b(o) + 4*u(o).\nAnswer: 6*o - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13031 - 234467\/18. Calculate the common denominator of d and 53\/(-12) + 4\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-41*z - 6*z - 2*z)*((1 + 1 - 6)*(-1 - 2 + 1) + 4 + 1 - 4).\nAnswer: 441*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2830 (b) 22 (c) -5 (d) -1\/2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -614 divided by -4.\nAnswer: 307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20102212 (base 4) to base 14\nAnswer: -c538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:41 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/12 + 5250*d**2. Let g(k) = 12113*k**2. Calculate g(m(q)).\nAnswer: 48452*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 2, 2\/139, 1, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:50 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/24 - 13*d**4\/8 + d**3\/3 - 10*d. Let c(g) be the second derivative of b(g). Let v be c(9). Solve -3*h + h = v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 410333?\nAnswer: 410324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k - 3*a, -a = 3*a + 8. Let q(y) = 11*y**2 + y - 1. Let d be q(k). Suppose d + 2 = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10*i = -21. Suppose 2*q = 6*n - i*n - 7, 0 = -2*n - 4*q + 26. Suppose -4*y - n*p - 13 = -3*y, 0 = 4*y - p - 11. Solve -5*f = y - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2298, -2, 39?\nAnswer: -2298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 312?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(64)\/sqrt(4) + -1*sqrt(784))\/(sqrt(24)\/sqrt(3)*6 - sqrt(16)\/sqrt(8)) + 2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 799*d**3 - 51*d**2 - 51*d - 51. Let r(n) = 32*n**3 - 2*n**2 - 2*n - 2. Calculate -4*m(j) + 102*r(j).\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2000 (base 3) to base 14\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -732*d + 2404*d + 990*d - 353*d + 2216*d as v*d + c and give v.\nAnswer: 4525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*p + 18 = 93*p. Put -0.2, -12, p in increasing order.\nAnswer: -12, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = 65. Let i be (-3)\/60*-12 - s\/5. Put 42, i, -5 in descending order.\nAnswer: 42, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(-30)\/r)\/r)\/r)\/r**21)**(2\/29))**(-2\/23) assuming r is positive.\nAnswer: r**(216\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 + 1371500*x**2 + 235184123666*x + 19745790269352 = 0?\nAnswer: -342833, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-41 - -2)*(-16)\/6. Suppose -5*g = -g - y. Let f = -11 + g. What is the highest common divisor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-2730))\/(16\/(-15392))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231374 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueeu when four letters picked without replacement from nnmnuumunneneuunun.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n + 72. Calculate the least common multiple of ((6\/(-40))\/(44\/176))\/((-1)\/15) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/4)*j)\/j**(3\/4))**33\/((j*j**(-6)\/j)\/j*j\/j**(-6\/13)*(j**(1\/3))**(-19\/4)) assuming j is positive.\nAnswer: j**(11407\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 1 = 11*z - f - 14, 4*z + f + 9*f + 42 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 96?\nAnswer: -95.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 998057416 less than 4?\nAnswer: -998057412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*d**2 - 51*d**2 - 59*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 20 = 2*n, -4*n = -3*n + 4*u + 16. Let w = 62.1 + -57. Let f = -0.1 + w. What is the third biggest value in n, 0.2, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.91 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, -6, -3, -21, 2.\nAnswer: -21, -6, -3, 2, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 4*g - 90. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0106914 to 5 dps.\nAnswer: 0.01069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659878550.\nAnswer: 2, 5, 7, 29, 271, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -50, -1 in ascending order.\nAnswer: -50, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*l + 2010 - 14022 = 91*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 343 = 20*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/12310503 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 49837392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4633 rounded to two dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(4\/(-5)). Let r = -5\/16 - -23\/48. Which is the nearest to z? (a) 2\/11 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 312768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 76. Suppose 0 = 2*t + 6, 0*t = -4*z - 5*t - 7. Let q(d) = -d**z + 20*d**2 + 9*d**k. Let c(u) = u. Calculate c(q(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 51111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 252369 greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356.5 + -31.5. Let b = n - 325.00542. Round b to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 41\/(-1)*(-1 + 0). Suppose -4*u + 4*l = -9*u + 28, 5*l = -u + 14. Solve 5 = p + u*n, 5*p + 2*n = -16 + f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6336082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, -13, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24671053 is divided by 769?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 - 12*q**2 - 3*q - 3. Let v be w(6). What is v rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eedd when four letters picked without replacement from dddeddeedeeeeededd?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9950, 19905, 29860, 39815, 49770?\n\"Answer: 9955*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:15 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 42 = -87. Solve -5*j - 3*r + 5*r - 17 = 0, 0 = v*j + 3*r + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5, 10.14, -0.4, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*2)\/sqrt(9) + 2 + sqrt(704) + sqrt(44) - -6*-4*(1 + sqrt(11))*-3)**2.\nAnswer: 12728*sqrt(11) + 86832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 4*j**3 + 3*j**3 - 2 - j - 3*j**2. Let o be v(-2). Let t be 5\/5 + (-1 - o). Solve f - 2 = -t*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3777 is divided by 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*u + 15, u + 4*u - 6 = -2*a. What is the closest to 0.2 in a, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/2749198 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 0.1, -0.13, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 5*m. Let f(o) = -147*o - 3*o**2 + 149*o - o**2 + 2*o**2 + 3*o**2. Give 10*f(n) - 4*j(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 5}. Give prob of sequence nn.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280550*c**4 + 36616 wrt c.\nAnswer: -1122200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**6\/80 + j**5\/8 + j**4\/2 + j**3 - 6*j**2 - 4*j. Let o(q) be the first derivative of r(q). Let o(h) = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, 5, 4, 2 in descending order.\nAnswer: 5, 4, 2, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 495 - 493.2. What is the biggest value in 1, v, -13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 42 = -3*f, 102 - 32 = 5*o + 2*f. Solve 5 = o*l - 9*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 6. Let i be u(4). Suppose 2*n - i*r = -6*r + 20, 18 = 5*n + 2*r. Let l be n*(2 + 0 - 1). Solve l*d - 6 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6057 - -83161. Suppose 230896 = 4*p - m. What is p rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/27)\/((-3)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6745.\nAnswer: 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -8 + 2 + 25. Let y be 65312\/h + (-8)\/(-3) + -2. Suppose -f - 36958 = -4*w, 6515 = w + f - y. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 5. Suppose 0*a - 35 = -5*a. Suppose -5*j = y - 14, 4*j + 2*y - 7*y = -12. Let l(h) = -6 + 7*h**2 + 0 - 2*h**j. Determine a*r(q) - 6*l(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*p - 7*p - 7)*(1 - 1 + p)*(0*p - p**2 + 0*p).\nAnswer: 5*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070*v + 4 - 1086*v + 3 - 2 + 1.\nAnswer: -16*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2487, 2522, 2577, 2652, 2747?\nAnswer: 2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, -12\/7.\nAnswer: -2, -12\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k. Let s(x) = -x**2 - x**3 + 3734*x + 4 - 3734*x. Let t be s(k). What is the biggest value in 8, t, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -109*q**5\/10 - 32*q**4\/3 + 212*q. Find the third derivative of l(a) wrt a.\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 - 27736*j\/15 + 96160712\/15.\nAnswer: 2*(j - 6934)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 4*r - 54, 7*r + 3*o - 39 + 3 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11966543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2104 times 4?\nAnswer: -8416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7*k - 4. Let o be j(-6). Find the common denominator of -71\/18 and o\/5 + (-709)\/60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71303653.\nAnswer: 47, 1517099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.4*-667951.\nAnswer: 16298004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -38*y - 100. Let p = -155 - -150. What is the remainder when a(p) is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4213)\/(-21015) - (-2)\/(-10). Let h = -75632\/46233 - u. What is the common denominator of -56\/9 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -14 - -8 - 46*-1. Solve h*i = 42*i - 12 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32610 equal to -32610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5074 + 8157. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 + 7*d**2 - 7*d - 10. What is k(-4)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**4 + 33635*p**3 + 100875*p**2 + 100865*p + 33620 = 0.\nAnswer: -6724, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4496 + -1889. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22940075 is divided by 212.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 u = 1.2 + 9.8. Let f = 8 - u. Let x = -0.05 - 1.95. What is the closest to 0.1 in x, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194851?\nAnswer: 29, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415224465 divided by 29.\nAnswer: 14318085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**3\/6 - b**2\/2 - 2*b. Let i be p(-4). List the prime factors of (i - 1)*-1 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -69*b**2 - b + 20. Let t(n) = -35*n**2 + 6*n + 12. What is 5*t(s) - 3*u(s)?\nAnswer: 32*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.05. Let r be -23 + (24 - ((-12)\/(-1))\/2). What is the nearest to 0.5 in -0.3, r, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/10 - 25*r**4\/6 + 47*r**2 + 6*r - 9. Differentiate c(a) wrt a.\nAnswer: 6*a**2 - 100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 474\/(-30) + (-2)\/10. Let u(s) = -s**3 - 17*s**2 - 16*s + 2. Let h be u(c). Is (h - 1)\/(5\/295) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 25*d - 208. Let f be s(-33). Let r = -50 - -109. Is r bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d. What is the units digit of (d - 30)*(-4)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100000 - -20110202?\nAnswer: 2010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77546840?\nAnswer: 2, 5, 7, 276953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -73, -127, -201, -301, -433, -603?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 13\/(13\/(-4)) - -12?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.033 - -0.033. What is the fourth smallest value in -0.4, h, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of -18*1 + (-2075700)\/(-132)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.91 - -15. Let i = z - 6.09. Which is greater: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477711 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**8\/u))**45 assuming u is positive.\nAnswer: u**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 63\/(-6)*(-24)\/90*165. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1300, -997, -166, 1457, 4136?\n\"Answer: 44*q**3 - 5*q - 1339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11940937 divided by -4.\nAnswer: 11940937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/1598109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -847758 and -12.5656687.\nAnswer: -847770.5656687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 88 + 56. Let o be (c\/60)\/(2\/10). Let l(v) = -3*v - 27. Let p be l(-19). What is the greatest common factor of o and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 24. Let w(u) = 2*u. What is w(r(k))?\nAnswer: 2*k + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 564593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8)*(-1 + 1). Suppose 0*u - 2*u + 83 = 5*j, a = -j - u + 16. Let h = -8 + j. Calculate the remainder when 16 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 4*a. Let z = 38 - 2. Suppose 8*b + z = -b. Let y(o) = -15*o**2 - 9*o. What is b*y(i) - 9*w(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*l + 2374, -v + 0 = 1. Let g = l - 346. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 226059009 = -4*r + 48740971, -4*r - w + 274799995 = 0. What is r rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 13. Let b(a) = -3*a + 37. Let f(s) = -2*b(s) + 7*q(s). Determine f(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27218 and 3512.\nAnswer: 108872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-248)\/(-5))\/((-2)\/(-10)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0924 and -4.2.\nAnswer: -0.38808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2784 from 154.\nAnswer: -2630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440 = 127849*x - 127789*x for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 15) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-2) - (-9)\/(-9). What are the prime factors of (-2)\/h - (-3211)\/38?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 36 - (7 - -41)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 6. Let u(m) = 95*m**s + 2 - 88*m**3 - 1. Calculate u(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1568466 and 1422?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c8 (base 14) in base 3?\nAnswer: -12100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 6 + 28)*(c**2 - 2*c**2 - c**2).\nAnswer: -86*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -40. Let w(z) be the third derivative of z**4\/24 - z**3\/6 + 4*z**2. Let d be w(5). Solve -d*o - k + 24 = 0, 5*o - u = -0*k + 2*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 x when four letters picked without replacement from wwxwzxgwxwgwkzxwwwgg.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*w + (0*w - 2*w + 0*w)*(-4 - 21 - 6) - w + 0*w - w.\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3385043 by 5.\nAnswer: -3385043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (1 - (-31)\/(-2)) + 10)*-144 - -7?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(-8\/9)))*v)\/((v*v**(-11))\/v))\/(v**(2\/27)\/(((v\/v**11)\/v*v)\/v*v)) assuming v is positive.\nAnswer: v**(55\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28262*y**2 + 56478*y**2 - 28239*y**2.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-10)\/8)*(-8)\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1466.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 2*m**5\/5 - m**4\/24 - 5*m**3\/6 - 7*m**2. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4555317 to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 3, p: 7, n: 1, i: 6}. What is prob of picking 1 d, 1 i, and 1 n?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 179813*d**3 - 6*d**2 + 180373*d**3 as i*d**3 + c*d**2 + o*d + b and give i.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(10\/28) + 19\/(-95). Is v\/(-2) + 1 - (-14)\/28 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 4*p - 2 - 4*p)*(2 - 4 + 7).\nAnswer: 10*p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3)\/(-1) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -2, -4, -92730, 2 in ascending order.\nAnswer: -92730, -10, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103241153 is divided by 8091?\nAnswer: 8084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76090 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2*u. Let i(c) = -23*c**2 - 1 - 3*c + 14*c**2 + 11*c**2. Calculate -2*i(q) - 3*w(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4356*k - 1484*k - 1438*k - 1437*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + 0 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 593136 and 8208.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let s(k) = -7*k + 864. Give s(l(m)).\nAnswer: -7*m + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56791301, -113582620, -170373939, -227165258, -283956577, -340747896?\nAnswer: -397539215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-87)\/15 + (-3)\/15. Let k(q) = 2*q**2 - 4. Calculate the remainder when k(b) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 2. Let h(w) = -3 - 3 + 6 - 5 + 4. Determine 2*h(i) + x(i).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 282\/(-24) - 6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -849, -6455, -21611, -51093, -99677, -172139?\n\"Answer: -796*m**3 + m**2 - 37*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 8*f - 27*f**3 + 6*f**3 - 5*f.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - (9 + -30 - (-6 + -10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 359*x**3 - 78*x**2 + 6*x. Let g(t) = t**3 + t**2 - t. Let b = -1 - -3. Let w(f) = b*g(f) + p(f). Solve w(v) = 0.\nAnswer: 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*16\/60*15. Let w = 10 - r. Which is the second smallest value? (a) -4 (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5, -4\/3, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 113*a = 59*a + 600. Calculate the remainder when 413 is divided by a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1305 - 1294.02. Let v = f - -0.02. Suppose -23*z + 51*z = 84. What is the smallest value in z, v, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 9:04 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/323414 and 32\/14001.\nAnswer: 348316878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 11) to base 16\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**34\/w**(-27))\/(w**36\/w**(3\/11)) assuming w is positive.\nAnswer: w**(278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*h - 9127 - 27828 = 1271*h + 385*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 27302 = 3*o, -5*a = -3*o - a + 27332. Let g = 3304 - o. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + g + 17 = 0, 5*m = 4*g + 26. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -851 - 0.5.\nAnswer: -851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + a76a3?\nAnswer: a7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(0 + (-1 + sqrt(176) - sqrt(176))) + (sqrt(176) - (sqrt(176) - sqrt(176)*2 - sqrt(176)) - sqrt(176))*6 + 1*sqrt(176)*3)*2 + 2)**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2*4*2*-5)\/(sqrt(5) + -3*sqrt(80) - sqrt(45)*-2).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n - 2*n)*(-2 + 2 + n) + (4 - 4 - n)*(-94*n + 46*n + 45*n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*g + 64. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 37*c + 52. Let z be q(-15). Let j = 824 + z. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 times 279674?\nAnswer: -18178810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - g + 6. Let c = 911 + -909. Let k(u) be the third derivative of -1\/12*u**5 + 0 - 5\/6*u**3 + 1\/24*u**4 + 0*u - 4*u**c. Give -5*k(w) - 4*t(w).\nAnswer: w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**4 - 193*j**3 + 2*j**2 + 42*j - 1177810?\nAnswer: -12*j**3 - 579*j**2 + 4*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75429 is divided by 37470?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 40*b**2 + 75*b.\nAnswer: 5*b*(b - 5)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4220 - -4222. Let b = 2.4 - 2. What is the second smallest value in a, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/180 - 4\/(-10). Put -0.1, 2, 3\/7, o in ascending order.\nAnswer: -0.1, 3\/7, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4213480*r. Let o(m) = -9*m**2 + 3*m. Determine c(o(d)).\nAnswer: -37921320*d**2 + 12640440*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -1437?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 1, 5.3, 4\/9, -35, 0.5?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 20 + 3*t - 20. Let c(b) = 188*b. Calculate w(c(a)).\nAnswer: 188*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, l: 4, n: 6, f: 5}. What is prob of picking 2 p and 2 n?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -3)*4\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**3 - 5*r**2 - 5. Suppose 104 - 9 = 19*y. Let s be 5*(y - 0)\/(-5). Let d(m) = -m**3 - 1. Let c(l) = s*d(l) + h(l). Solve c(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 83*u - 2. Let o(g) = -3*g. Calculate b(o(r)).\nAnswer: -249*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(2\/(-28)). Let j be 6\/15 + z\/5. Let s(k) = -2*k. Let r be s(j). What is the greatest common divisor of 22 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 take away 29421.9?\nAnswer: -29421.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/120*(2\/(-4) + 0)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10, -3*u - 2 = -2*w - 8. Suppose 0 = 6*h - w*h - 6. Suppose b - 5 = -h. What is the smallest common multiple of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p\/(((p*p\/p**(2\/11)*p*p*p)\/p)\/p*p)))\/p*p*p**(-1))\/(p**(-2\/3)\/(p\/(p\/p**10*p*p))) assuming p is positive.\nAnswer: p**(379\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 279738860 less than or equal to 279738860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -7*b**3\/3 + 5*b**2\/2 + 1583*b - 1952. What is the first derivative of k(h) wrt h?\nAnswer: -14*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 4 - 3 + 0 - 3 + (0 + 3 - 4)*(-5 + 5 + 2))*(2*u + u - 2*u) to w*u + b and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79, 353, 1203, 2917, 5783, 10089, 16123?\n\"Answer: 48*h**3 - 62*h + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -113*c + 4282. What is the remainder when f(30) is divided by 65?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23067931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + t - 7*t + t**3 + 2*t**3 as r + n*t**3 + m*t + s*t**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 95591 = 438801. Calculate the remainder when v is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -304*v - 1. Let h be k(-1). Let y = h + -182. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2214 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12 = -32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -4*g, 2*u + g = -5 + 30. Let q = -39 + u. Which is smaller: -26 or q?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944449 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2. Let j = -147 + 150. Let m(h) = 4*h**2 - 16*h**2 + j*h**2. Give m(s(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201 (base 8) in base 3?\nAnswer: 2222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7910 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -911919.5 to the nearest one thousand.\nAnswer: -912000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 349519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j*z - 10759*j - 952*z**4 wrt z?\nAnswer: -2*j - 3808*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 57. Let f be i(-14). Let d be ((-8)\/20)\/(f\/20*-2). Solve r = k + d, 4*k - 2*r + 13 = -r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15414495?\nAnswer: 3, 5, 17, 60449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -275609, -1102440, -2480491, -4409762, -6890253, -9921964, -13504895?\n\"Answer: -275610*q**2 - q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/12, 1.7, 35\/16, 0.5, 1?\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxjcdjjjojjxccxxc. What is prob of picking 2 j?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2344, -4684, -7024, -9364, -11704?\nAnswer: -14044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(720) + -4)**2 + -3*(sqrt(45) + 3 - sqrt(45)) + (2*sqrt(450))\/sqrt(10).\nAnswer: -378*sqrt(5) + 2935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(4*s - 4*s - 3*s)*(11 + 27 - 10) to y + u*s and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.34 - 8.14. Which is the closest to 29? (a) d (b) -3\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*t + 5*c + 8, 3*t = -2*c - 2. Does 28 divide (1 + t)\/((-69)\/(-3979))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/360 + m**5\/120 + m**4\/24 - 2*m**2. Let z(o) be the second derivative of q(o). Suppose -32 + 20 = 6*i. What is z(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 13*v - 24. Let s be o(-8). Let f(r) = 6*r + 21*r - 36*r + s - 5. What is the units digit of f(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (732*(-256)\/(-117120))\/(8\/(-510))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from kxzhkkhzhxzkklxk?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -53486, 3, 49 in decreasing order.\nAnswer: 49, 3, -53486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**3*c)\/(c**(7\/4)*c)*c**(-3)\/(c\/(c*c**5)))**27 assuming c is positive.\nAnswer: c**(567\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 56*f**2 + 39*f - 628. Is s(25) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 41*u**3 - 7*u**2 - 7. Is i(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31210323 - -2?\nAnswer: 31210331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8508*z**2 + 21*z + 425554.\nAnswer: -17016*z + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 105\/6) + 9\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42675200 rounded to the nearest 100000?\nAnswer: 42700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2436, -4872, -7308, -9744, -12180, -14616?\nAnswer: -17052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*240\/(-42) - 6. Let v = 3 - 3.4. What is the nearest to i in 0.2, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**5 + 2*j**2 + 2*j. Let b(k) = -k**4 + k**3 - k. Let x(l) = 4*b(l) + 2*h(l). Suppose x(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d**(-2))\/(d\/(d**(1\/6)*d))**(-29\/4) assuming d is positive.\nAnswer: d**(-5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-152)\/(-190))\/((-154)\/(-35)). What is the biggest value in -1\/2, 1\/147, -1, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 73*p + 2. Is f(1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -691d + b6?\nAnswer: -6847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12 + 150*s - 28 + 16 - 147*s. Let k(m) = 256*m**2. Determine v(k(l)).\nAnswer: 768*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100111954 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 87*r**2 + 69)*(-3*r - r + 2*r)*(4*r**2 - 2*r**2 - r**2).\nAnswer: 174*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497\/4 greater than or equal to 1.261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n + 110*n + 17*n)*(-2 + 0 + 3)*(-3*n - 1 + 1).\nAnswer: -441*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362*k**2*z**6 + k**2*z**2 + 399*k**2*z - 3*k*z - z**6 wrt z?\nAnswer: -43440*k**2*z**3 - 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1333452 (base 6) to base 14\nAnswer: -1d316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 11. Let s = h - -7. Suppose 8 = 32*k - 28*k. Solve -18 = s*y - 3*q, 2*q = -y - k + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 59*0.01\nAnswer: 0.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 12*o**2 - 18*o + 31. What are the prime factors of m(14)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 72271*l - 72301*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-46)\/(-11) - (-18)\/(-99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68560 divided by -5.\nAnswer: -13712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - 16*j**2 + 7*j + 193 - 225 to the form m + a*j + z*j**2 and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -73933 divided by -17?\nAnswer: 4349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/6 (b) 1\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from cceceeccecc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6615924971573 + -5?\nAnswer: 6615924971568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((7 - 7) + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88307?\nAnswer: 233, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1586*o*v**3*x + 2*v**3*x + 492*x with respect to o.\nAnswer: 1586*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*j - 41, -d - 2*j + 21 = 2*j. Suppose d*z + 22 = -2*t, 2*t + 2*t - 4*z = 12. Let l be -1 - 0 - (4 + -8). Sort l, -4, t in decreasing order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-5)*(-212)\/(-1484)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*259.2\nAnswer: 18.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -4*o**3 + 246*o**2 - 5043*o - 1789. Suppose b(q) = 0. Calculate q.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -449.3 and -2.\nAnswer: 898.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 0*w**5 + 0*w**2 + 0 - 11\/42*w**7 + 0*w**3 + 0*w**6 - 3\/4*w**4 + 6*w. What is the third derivative of g(b) wrt b?\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.6622 + -3.\nAnswer: 46.6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-11)\/(11 - 22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4 - 1320*b**3 - 16612*b**2 - 40656*b - 25360 = 0. Calculate b.\nAnswer: -317, -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1 + 13*c**2 - 98254*c + 98253*c + 1. Let h = 1 + -2. What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-27)\/(-63) - (38688\/28)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.94567 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 598.7 + -575.7. Let s = -1169.6 + 1146.601. Let d = s + f. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtr when three letters picked without replacement from {z: 10, t: 3, u: 2, p: 1, a: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.006*2.6.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = n + 3, 3*c = -4*n + 29. What is the common denominator of 54\/5 and (c*-1)\/(-7 - (-1 + -22))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -1 - (-7 - 1). Solve 0*x - 5*x + 30 = -m, 20 = -p*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/41 (b) -0.03 (c) 2\/5 (d) -3 (e) 78\/5 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 164 = 19*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(16\/(-10) + 2). Calculate the common denominator of 12\/7 + (1 - 1) and -56*u\/18*-3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**3 + p**2 + p - 1. Calculate y(2).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 f, and 1 u when four letters picked without replacement from {u: 1, i: 3, q: 7, f: 3}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 457\/(-1828)*((-4)\/(-2))\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-156)\/(-3835))\/3)\/(((-212)\/795)\/((-4)\/(-6))).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - -2) + -8 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 8*q**2 - q - 6. Let y be l(-8). Suppose 0 = -2*r, -y*r + 0*r = 4*m - 264. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2119797721 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 24. Let i(x) = x**4 + 6*x**3 + x**2 - 4. Let w(l) = l**4 + l**2 - 1. Let g(h) = m*w(h) + i(h). Let g(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 711 - 375 = 0. Let p be (-2388)\/(-9) + (-2)\/(-3). Let h = p + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5162 = -2*v + 5*v, 3*y = 3*v + 7752. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*b + 76 + 144 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q + 38*q + 864 = 0. Let p = q - 286. Solve p*b - 3*b - h = -4, 2*h - 8 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*u + 2 = 0, 30 - 53 = -5*t + 4*u for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/14)\/((-8)\/28). Let i be (-2)\/((-56)\/2)*v. What is the nearest to 1 in 0, -1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 8:27 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 - -933 - (-10 + 55)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f**3 - 3*f**2 - 7*f + 11. Let l be b(-5). Let r be (-12)\/(-84) - l\/(-14). What is the units digit of 11\/(-3)*10\/((-40)\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 9843*j**2 - 24216240*j - 24226084.\nAnswer: -(j - 4922)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-423*q - 111*q + 1470*q + 2462*q)*(0*q**2 + 9*q + 2*q**2 - 14*q) in the form h*q**2 + w + m*q + l*q**3 and give l.\nAnswer: 6796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1594*h**4 + 2*h**2 - 4*h - 707. Let s(w) = w**4 + 2*w**2 - 3*w. Let y(k) = l(k) - s(k). Find the second derivative of y(p) wrt p.\nAnswer: 19116*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.107, 4\/5, 0.27, -26.\nAnswer: -26, 0.107, 0.27, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 5555?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 13. Let o be z(3). Sort 0, 5, 2, o in ascending order.\nAnswer: o, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/171 + 3 + 100\/(-36). Solve 126 = -o*c - 42*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760598506 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lltn when four letters picked without replacement from jtjnttltltlgtjjtljf?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.76 + 0.76. What is the closest to -0.1 in -1, 5\/4, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 - (-7 + 4 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -182618710 to the nearest 100000.\nAnswer: -182600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021880933 rounded to 7 dps?\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -52. What is the remainder when 132 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**5\/60 - 3*u**2\/2 + 4. Let z(c) be the second derivative of w(c). Let h(v) = -2*v**2. Give h(z(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1218785 and 1730.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/98548 or 0?\nAnswer: 1\/98548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5115320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = s + 5*j, 0*s = s + 2*j - 15. Let c(d) = -d + 18. Let y be c(12). Is s bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/10 + 295550\/161000?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 6. Let o be g(4). Let 9*h + 1 - h**2 + 1 - o*h = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(2068\/352))\/(42\/3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2655 = 3*b + 5*d, 0 = b + 2*d - 663. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9683387221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1833564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**6 + 7104*g**5 - 3*g**4 - 4*g**2 + 238*g - 10 wrt g.\nAnswer: -600*g**3 + 426240*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306835?\nAnswer: 3, 5, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10*z*z*z**(3\/7))\/(z*z*z\/(z\/z**(1\/4))*((z\/((z\/(z\/(z\/z**0)))\/z))\/z)\/z))**48 assuming z is positive.\nAnswer: z**(3756\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2*m**2 - 2. Suppose 4*i = -g + 23, -31 = -3*i + g + g. What is the remainder when i is divided by y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 - 21?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43\/5 + -9. What is the third smallest value in -1\/8, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d + 3*d)*(0 + 0 - 2*d**2) - 81*d**2 - 19*d**2 + 78993*d**3 - 18*d**2 + 118*d**2.\nAnswer: 78995*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 59. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 45 = -50. Sort -5, t, -2, -1 in decreasing order.\nAnswer: t, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*h = -18, -4*h - 17 = 25*t - 22*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -4*(sqrt(80) + sqrt(80)*-1) + 4))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from nmdmdmnm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0 = -25. Let l = 3 - q. What is the greatest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -52. Suppose 3 = -q - k + 2, k = -5*q + 7. Suppose q = -4*p + 2*p. What is the closest to -2 in l, p, 2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109868*d + 109868*d - 93*d**3 + 274*d**3.\nAnswer: 181*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-28))\/(5\/105). Suppose 0 = -4*h - x*h + 50. Suppose c - 4*c = h*b, 3*c - b = 18. Let s(o) = -2*o + 6. Calculate s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119176175 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4430, -4410, -4376, -4322, -4242, -4130, -3980, -3786?\nAnswer: -3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.346 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -1 (c) -38 (d) -5 (e) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6208)\/(-20) - -3)*5. Let i be a\/6 + 12\/(-72). Calculate the greatest common divisor of i and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 25 = 0, 0 = 5*k + 2*u - 780 + 815 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000616 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 115, 147, 215, 331?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31640510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 2) - (1 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5\/5 + 141*p**4\/5 - 1569*p**3\/5 + 2463*p**2\/5 + 1572*p\/5 - 2604\/5 = 0?\nAnswer: -1, 1, 2, 14, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-5) + (2 - 4\/(-2)). Which is the nearest to s? (a) 2 (b) -1\/6 (c) 2\/5 (d) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**(-7))\/(w**(1\/2)*w*w\/(w*w\/w**(-2)*w))*(w**(1\/3))**46*w\/((w*w**(7\/3))\/w)*w\/(w*w**(-4)) assuming w is positive.\nAnswer: w**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8*v + 44. Let z be 1*-3*v\/(-33). Is (-21 - -17) + (372 - z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12))\/((21\/(-12))\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 186.41. Let u = -2.09 + o. Sort -0.1, 39, u in decreasing order.\nAnswer: 39, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 - (3 - -1))) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1769 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4303 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 227*g + 284. Determine q(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.14, 4\/3, 1\/2, 0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 83*t + 331, 26*s = 15*s + 15*s + 2*t + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let v be (-2)\/x - 187\/(-5). Let i = v + -21. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 39, -3, 9 in decreasing order.\nAnswer: 39, 18, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 106833632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -316603, -316601, -316599?\n\"Answer: 2*l - 316605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(3\/(-635)) + -1. Is ((-7)\/(-7))\/(2\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/24 + s**2. Let x(t) = -3*t + 2. Let v(i) = -i**3 - i**2 - 52*i + 4. Let n be v(0). Determine n*z(l) - x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/48*232*1\/(-5927) and -79\/2?\nAnswer: 11854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1483, -13.6, -4 in decreasing order.\nAnswer: -4, -13.6, -1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 75\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*f**3 + 3*f**3 - 3*f - 71*f**2 + 3*f**3 + 18 + 59*f**2 + 3*f**3 = 0. What is f?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(133) - sqrt(133)*-3))\/sqrt(7).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = i - 5*i. Let m be i\/(2 - 5) + 0. Let c be (0\/(m - 2))\/(-2). Solve c = -f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + 6 + -7 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = y + 4, 0 = -5*d + 3*y + 10. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1194*o**2 - 5*o. Let v(a) = -604*a**2 - 3*a. Let h(f) = -3*r(f) + 5*v(f). Let s(p) = -p**2. Give h(s(n)).\nAnswer: 562*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Solve -12*q = -4*m - 17*q - 15, 4*m - 4*q = 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2519558 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/4080*((-2)\/(-4))\/(1\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 59*z**2 + 6 - 2*z - 5 + z. Let j be m(-2). Suppose 5*o - 2*f - 22 = j, 149 = 3*o - 5*f. Calculate the remainder when o is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 0.219, 0.13?\nAnswer: 0.219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 - 29*w**2\/2 + 82*w - 101. Let r be v(26). What is the highest common factor of 64 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 6*b - 4. Suppose -30*n = -21*n + 54. Let u(h) = 5*h**2 + 11*h + 7. Calculate n*u(c) - 11*g(c).\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 14*h**2 + 49*h + 52. Determine z(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -1. Let l be 9\/9 + m\/(-14). Suppose t - 1 + 0 = 0. Which is the nearest to -1? (a) l (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2342*m**3 + m**2 - 623*m + 52703906.\nAnswer: 7026*m**2 + 2*m - 623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 14741157*m**2 + 14741157*m**2 - 9 - 29482312*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -11 - 7) + (1 - -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677115 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - sqrt(117)*-1*-6))\/((sqrt(180) + sqrt(45))\/sqrt(5)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32701152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/4 + 4*r + 9. Suppose 6*i = 36 + 18. Let f(u) = u - 1 + 1 + i*u. Give p(f(j)).\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -a870 (base 12) to base 10\nAnswer: -18516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2519*p - 2528*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-21)\/30)\/((-1)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + c + 11 = 0, -4*c + 5 = 1. Suppose f*y + 5 = -y. Find the common denominator of 59\/8 and (332\/(-72))\/(y - 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*w = -2*w - 16, 4*u = -4*w + 68. Let j be (-136)\/(-40) - (-2)\/(-5). Suppose -j*z - 7 = -43. Calculate the least common multiple of z and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164277 is divided by 105?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*f - 247*f - 6*f**2 - 243*f + 710*f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 17719*y - 39894541. What is b(-2021)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reere. Give prob of sequence er.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/5 - 8747548*c\/5 - 26242626\/5 = 0. Calculate c.\nAnswer: -4373771, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 10*j**2 - 10*j - 20. Let d be i(-9). Let h(r) = r**3 + 9*r**2 - 22*r. Let k be h(d). Solve 5*s + 3*l + 2 = k, 5*s + 6 = -l + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146244 - 146244. Let g = 1 + -3. Sort k, g, 9, -1 in ascending order.\nAnswer: g, -1, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016703 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6756566 is divided by 337828.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117300579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 15*p**4\/2 + 1445*p**3\/6 - 1153*p**2. What is the derivative of d(m) wrt m?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 5, -0.2, -3, 0.267?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(95)*-1 - -1*-1*sqrt(95))\/((sqrt(320)*-2 + sqrt(5))*-3).\nAnswer: -4*sqrt(19)\/45 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2478 and -0.6.\nAnswer: -2478.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 4*w - 4966 + 4960, 8*l + 2*w + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1832*k + 1727*k = 3465 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.40078 decades to millennia.\nAnswer: 0.0140078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 + -0.3. Let a = 1.14168 + -1.04168. Put a, f, -8, -1\/6 in descending order.\nAnswer: a, -1\/6, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a4c05 - 49?\nAnswer: -1a4c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdmwwswdwuwwwwsmhww. What is prob of picking 2 w and 1 m?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 71766?\nAnswer: 71771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g**3 - 4*g**2 - 7*g + 3. What are the prime factors of s(4)?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2120028.17 to the nearest 10000.\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 22616\/131 (c) -1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -85*n - 35. Let r(s) = 5*s + 2. Let o(h) = -35*r(h) - 2*w(h). Let f(b) be the first derivative of -15 - 31 - 348*b**3 + 347*b**3. Determine f(o(y)).\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**3 + 262*v**2 + 462?\nAnswer: 3*v**2 + 524*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 9:58 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-18) + 9 + (-640)\/72\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 17*z**4 - z**4 + 4*z**5 + 2*z - 72*z**2 - 2*z - 12*z**3 = 0?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1755572\/11*l - 52416\/11*l**2 - 2\/11*l**4 - 7535710\/11 - 556\/11*l**3.\nAnswer: -2*(l + 5)*(l + 91)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 196*o - 1. Let u(q) be the second derivative of q**3\/2 - 4*q - 12. What is u(x(z))?\nAnswer: 588*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 41614*j\/5 - 432931249\/5.\nAnswer: -(j - 20807)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 74898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -20. Let w = 718 + p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017.7 + -5?\nAnswer: 1012.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-24))\/((-6853)\/(-78320))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*l + 888*l + 26 = -o, 0 = -4*o + 8 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 j when four letters picked without replacement from bkbbbkzkkkbj.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 3*p**3 - 2*p**3 + 6*p + (-5 + p + 5)*(-3*p**2 - 2*p**2 + 3*p**2) + 2*p**3 + 0*p**3 - 4*p**3.\nAnswer: -3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 452 + -408. What is the greatest common divisor of i and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {w: 5, o: 7, t: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-194 + 194 - 42*a)*(47 + 3*a + 30 - 79) as k*a**2 + l + x*a and give k.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2506*v**3 - 1857.\nAnswer: -7518*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41597, 41669, 41741, 41813, 41885?\nAnswer: 41957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 22, -1\/3, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -230 - 236. Let c = -464 - h. Suppose 4\/3 - 8\/3*x - 1\/3*x**3 + 5\/3*x**c = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 2*z)*(-1 + 0 - 1) + 5*z - 6*z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 24 = -28. Suppose 7*h + 8764 = 10*h + 2*z, z = -v*h + 11677. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-6) + 6\/(-9). What is the remainder when 5 is divided by (-5)\/(-15) + (-8)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 601019312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10*s = -207. Let a = -19 - s. Solve i = 4*y - 5, -2*i + 6*y = y + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 97. Let r(q) = 2*q + 20. Let b be r(a). Suppose 0 = -2*s - 3*c + 4364, b*c - 9*c = -2*s + 4348. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1349 - -1406. Solve 35*r + z = -13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.5, -5, 0.04, 5535 in descending order.\nAnswer: 5535, 0.5, 0.2, 0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (2 - (4 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -0.817?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Suppose -k*j = -c + 18, -3*j + 25 = -4*c + 5*c. Solve -5*r + 2*b + 18 = 0, -3*r + 0*b + c = -4*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 + 157. Let g = 1\/8 - 29\/40. Suppose -5*f - o + 5 = 0, -4*o + 20 = -3*f + 4*f. Sort f, n, g.\nAnswer: g, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -155 - -c97?\nAnswer: b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Suppose n - 5 = 0, 4*l - 69 = -0*l - h*n. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -80*y**2 - 11*y + 7. Let w(q) = -40*q**2 - 6*q + 4. Calculate -6*n(l) + 11*w(l).\nAnswer: 40*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63743 - -97332. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 653, 1311, 1989, 2693, 3429, 4203, 5021?\n\"Answer: g**3 + g**2 + 634*g - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(((-2)\/(-19))\/((-1120)\/(-5320))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5283*j - 5286*j + i = -7, 5*j = i + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7273?\nAnswer: 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-40)\/50)\/(52\/(-9035)) is divided by 74.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121, 1\/6, 0.5, -0.09, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = v - 17, -5*v + 4*o = -13. Suppose 4*q - 3*d = -7*d + 332, 4*d = v*q - 460. Let m = -332 - q. Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211\/3 + 71. Which is the third biggest value? (a) n (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25425, 25454, 25497, 25560, 25649, 25770, 25929?\n\"Answer: s**3 + s**2 + 19*s + 25404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -15\/53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/13680 and -117\/74630?\nAnswer: 102093840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, -591, 4, -3\/4, -2\/15 in decreasing order.\nAnswer: 4, -2\/15, -3\/4, -178, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 7*c + 9. What is g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14068 = 29*r - 27125 + 11114 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/60*2*-8. What is the nearest to 0.1 in -5, m, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655)*-3)\/(-3*5*sqrt(11) + sqrt(11)))**2.\nAnswer: 5445\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001784304 rounded to seven dps?\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 14 = -m + 6, -3*p - 2*m + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -10. Let r = 4 + k. Let x be (-2)\/3*3\/(-5). Put r, 4, x in descending order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 23\/5, 39\/2, 2\/9, 1.3 in decreasing order.\nAnswer: 39\/2, 23\/5, 1.3, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 348979 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: Rearrange 10 - 4*h**4 - 177*h**2 + 11 - 3*h**3 + 177*h**2 to u*h + c + m*h**2 + s*h**4 + w*h**3 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 o when three letters picked without replacement from xoho?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0472 times -9?\nAnswer: -0.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -71710 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**3 - h**2 + h. Let f be l(1). Let c be f\/(-21) + (-86)\/(-7). Let g = 26 - c. Solve 4*x = 2 - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1243 divided by 74\nAnswer: -1243\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*z - 6*z + 142 - 145.\nAnswer: -78*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53096213369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:34 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 54. Let h be n(-29). Solve -4*v + 2*v = h*r + 10, 3*v + 15 = -2*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 - 230*i**2 - 2891*i + 243. What is j(-16)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 59608879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*d**3 + 243*d**3 - 110*d**3 + 88*d**3.\nAnswer: 882*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.406 + -5.164. Let q = 0.242 - n. Which is the third biggest value? (a) -0.2 (b) q (c) -1\/12 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7691 - -15334. Let q = -5092 + t. Let n = q - 20357\/8. What is the common denominator of n and 91\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*461.\nAnswer: 184.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004905.\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + -35 - -49) + -4 + (-4 - -8) + 83.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htmhhhhoqhoqoto. What is prob of sequence oqtt?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -5*x, 0*x = 5*m + x + 5. Let r = 1.95 + -2. Let z = r + 0.15. Which is the closest to 1\/2? (a) 1\/5 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**7\/g)\/(((g*g**(1\/16))\/g)\/g)*g**(-1)\/(g\/g**(-2)) assuming g is positive.\nAnswer: g**(63\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 17*c - 22. What is the hundreds digit of z(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540653677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 32*z**2 - 1\/2*z**3 + 0*z = 0. What is z?\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 257150644.825 and -866.\nAnswer: 257149778.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40356 + -26\nAnswer: -40382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) 0.32 (d) -146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 11:29 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 73701?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142.06 + -145. Let z = l - -3.3. Let x = z - 0.360024. What is x rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 6855681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1668 + 1902?\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 + 4*j + 3. Let o be h(-3). Let m = 6 + o. Suppose -m*l = -l - 30. Calculate the greatest common divisor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - a + 3. Let m be f(0). Suppose -10 = -m*n - 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*i**4 + 559*i**2 - 559*i**2 + (-3*i**3 + 5*i**3 - 3*i**3)*(6*i - 4*i + i) - 2*i**3 + 2*i**4 + 2*i**3.\nAnswer: -65*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 7*t**2 - 2*t - 6. Let b be g(6). Find the common denominator of 67\/(-4)*24\/b and -15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 132, 148, 164, 180?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1104, -3865, -8452, -14853, -23056, -33049?\n\"Answer: 2*d**3 - 925*d**2 - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 444*z - 896 = 0 for z.\nAnswer: -224, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**21*f**(-1\/8)*f*f\/f**(-2\/23)*f assuming f is positive.\nAnswer: f**(-2031\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5688.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -764 - -765. Which is the second smallest value? (a) x (b) -27 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 2*r + 6*r**2 - 3*r**2 - 2. What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*v + 311*v + 881*v + 583*v to the form l*v + f and give l.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2 + 2*r - 1. Suppose -5*m + 30 = -5*t, 3*m + 2*t + 3 + 4 = 0. Let n be j(m). Let w = 5\/33 - -2\/11. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*g + 72, -5*t - 2*g = -0*g - 99. Let z = 18 - t. Is z < 7\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 3*k**2 - 4*k - 5. Let g(i) = -3*i + 5. Let z be g(3). Does 9 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626399031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.36665724 + 0.4\nAnswer: -3.96665724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62944710 and 3702630?\nAnswer: 62944710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 - -296. Suppose -3*f + 143 = -a. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3018*l + 135670. Calculate d(45).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -601.31, -0.02, 2\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -62, -39, -6, 37?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -293 != -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*b**2 + 2*b + 0*b - 31*b**2 + (3*b + 3*b - 3*b)*(0*b + 2*b - b).\nAnswer: 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.67025 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 3. Let v(i) = -3*i - 7. Let r(y) = -15*n(y) + 6*v(y). Let c(p) = -145*p + 449*p - 2 - 150*p - 152*p. Give 5*c(o) + 4*r(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z - 9. Let b be ((-4)\/5)\/(8\/100). Let m be (42\/(-35))\/(4\/b). Let p be h(m). Calculate the highest common factor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6355, -6337, -6309, -6265, -6199?\nAnswer: -6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*m + 7*m - 5 + 9*m)*(-876*m + 372*m + 270*m) to the form n*m + v*m**2 + b and give n.\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 325145.\nAnswer: 325145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 13*l**2 + 31*l - 38. Let n be c(-16). Differentiate -n + 128 - 26*d - 40*d - 59*d with respect to d.\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -0*z - z. Let r(b) = b**2 + 7*b + 1. Let s be r(-5). Let j = s - -22. Calculate the remainder when z is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720) - sqrt(270)\/sqrt(6))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7316*o + 1846*o + 1830*o + 1797*o + 1843*o + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22694909?\nAnswer: 22694909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23311224 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14888 + -6849. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -54, -109, -186, -285, -406?\n\"Answer: -11*q**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -809206732+884353\nAnswer: -808322379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 13*h - 42 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-14)*k)**(-25)*(k**(-2\/17)\/k)**16 assuming k is positive.\nAnswer: k**(-7529\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**27*u)\/u**17 assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 66. Let p be b(32). Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:34 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 = -57*j - 3*j + 125*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 20*n**2 + 5*n + 4. What is the tens digit of u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107631965 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*q**2 + 350*h**3*q - 660*h**3 wrt q?\nAnswer: 2*h**3*q + 350*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22023003000 rounded to the nearest 1000000?\nAnswer: -22023000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/155*(-16585)\/5350\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.906? (a) -0.7 (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 5.2\nAnswer: 67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*c + 2*c. Suppose 3*x - 5*p = 155, 5*p - c = 2*x - 138. Suppose -o = a - 7, -4*a + 3*o = -a - x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:11 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 110 = -18. Let i be (25 - o)\/(2\/3). Is i bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4) - 219\/(-438)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104.7 - -104.700000739. What is z rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*y + 213*y = -4*j - 48, -5*j + 2*y = 60 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 13*p = 3*b - 11868, -4*b + 19785 = 5*p. Suppose -8*y + p - 201 = 0. What are the prime factors of y?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1144 + 4?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 4:39 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - 47 - 4 - -5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421440 (base 5) in base 6?\nAnswer: 144443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2. Let v(d) = -4*d**2. Let g(b) = -2*b**2. Let t = 3 + 0. Let m(q) = t*v(q) - 5*g(q). Give m(z(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -45095767?\nAnswer: 90191534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 34. What is the least common multiple of 2 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 249*s**4 - 32*s**3*u**3 + 54361*s*u**3 wrt s?\nAnswer: 2988*s**2 - 192*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 314 + -179. Let w = j - 82. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:22 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 13754427*m + 13754426 = 0 for m.\nAnswer: 1, 13754426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1807, 1808, 1809, 1810?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsyj when four letters picked without replacement from {y: 1, s: 9, j: 8, f: 2}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 + (-4268)\/(-679)*(-14)\/(-60)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 8*r - 11. Let f be l(9). Which is smaller: f or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let d(y) = y**2 + 4*y + 9. Let s be d(-5). Suppose t + s = 3*u, 3*t = -2*t - 25. Solve -u*g + 4 - 19 = b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 39*o**2 - 221*o - 74. Calculate i(32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*g - 12, 3 = -4*g + 2*g + 3*f. Suppose -j - 5 = g*r + 3*j, 1 = 5*r + 2*j. Let t = -0.22 + 0.12. What is the nearest to 2\/3 in 0.1, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.635638g to micrograms.\nAnswer: 4635638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and -1.9?\nAnswer: 91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 = -3*y, 2*y = y + 5. Suppose 0 = 4*b - 0*b - 16. Solve n + w*d + 7 + 1 = 0, 3*n = -5*d - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 122679471, 245358934, 368038397, 490717860, 613397323, 736076786?\n\"Answer: 122679463*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29994 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2 + 13*h - 25. Let i be n(5). What is the greatest common divisor of i and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 9. Let s be (-61)\/3*f\/4. Let m = s - -111. Calculate the greatest common divisor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1203*u - 11194. Calculate j(9).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-21)\/(-9)*(-88)\/(-154). Suppose 2*b + 13 = 3*b. Suppose -5*d + 92 = 3*q, -z*d + b = q - 13. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 17*n**5\/60 - n**4 + 7*n**3\/6 - n**2\/3 + 2*n + 68. What is b in g(b) = 0?\nAnswer: 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3 + 0 - 2) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21615\/8515)\/((-3)\/39)*14\/6.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1056\/(-432)*1458\/324.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 3*h - 9. Determine w(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i\/i**(2\/5))\/i)*i)\/i)**(22\/5))**(3\/4)*(i**(-3)\/(i\/((i\/(i*i**4*i)*i)\/i)*i))**39 assuming i is positive.\nAnswer: i**(-9552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 3*f**3 + 3*f**3)*((3 + 3 - 5)*(22*f + 6*f - 14*f) - 4*f + 2*f - f).\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**3 + c**2 - 3*c - 3. Let y = 157 + -114. Let i(z) = -y*z**2 + 41*z**2 + 3*z**3 + 4 - 6*z**3 - 2*z**3 + 4*z. What is -3*i(u) - 4*x(u)?\nAnswer: -u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -3015\/586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7690 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 1\/2 (c) 259\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.688 - -0.088. What is the second biggest value in z, -2\/3, -262?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 261117\nAnswer: 7\/87039","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146 or 565809?\nAnswer: 565809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2 + 18. Let y(h) = h**2 - 6*h - 2. Calculate the remainder when y(-4) is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0386 and 8.1419.\nAnswer: 0.31427734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*j + 14. What is the nearest to j in 5, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1061)\/4 - (-5)\/20. Let t = 516 + k. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9852 - -157683\/16. Find the common denominator of 77\/40 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x - 7 = 0. Let n(s) = 3*s**2 + 1. Let u be n(1). Suppose -x*c + 3*j + 153 = -3*c, -u*j - 64 = -2*c. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4680\/(-715) - (-282)\/517?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -329, -502?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 7. Let m(l) = l + 23. Calculate the remainder when m(-11) is divided by u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*q - 5*k = -154*q - 17, 3*k + 89 = -22*q + 27*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - z**2 + 6*z**2 - 3*z**2 - 3*z in the form f*z**2 + j*z + y and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646787089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9674.97 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 4*w - 38, -w + 95 = 5*s. Suppose -3*d + s*d + 7560 = 0. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (608\/80)\/19*10*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 13 - 12) + (9 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 27 - (2144\/(-485) + 0 - 57\/95).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - (-93 + -59)) + 5 + 0\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z*z*(z**2*z)\/z)\/z)))\/z*z**2\/z)**(-9\/2) assuming z is positive.\nAnswer: z**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-5)\/(-75))\/((-10)\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17294.83ng in kilograms?\nAnswer: 0.00000001729483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1788904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320 + 3576*g - 1320 - 3556*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/9 + 58*n**2\/9 - 136*n\/9 - 520\/9 = 0. What is n?\nAnswer: -2, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 14*f**2\/3 + 80*f.\nAnswer: -2*f*(f - 15)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -33. Let f(q) = q**3 + 6*q**2 + 6*q + 7. Suppose 0 = -m - 3*m - 20. Let x be f(m). What is the nearest to -8 in -0.5, b, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 7*c**2 + 5*c + 1. Calculate a(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 14. What is the least common multiple of (2\/q)\/((-4)\/12) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/4, -6, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, -9\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -63. Which is the closest to -1\/3? (a) 0.3 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46002, -184005, -414026, -736065, -1150122, -1656197, -2254290?\n\"Answer: -46009*i**2 + 24*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*q + 2*q = 0. Suppose t - 2900 = -q*t. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.4, -14\/3, -808?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.07 (b) 2\/7 (c) -4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14872 divided by -4?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/49764 and -94\/73515.\nAnswer: 3234660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 4223?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 (base 9) in base 8?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/3 - 20890*o\/3 - 109098025\/3 = 0.\nAnswer: -10445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 14*j - 9. Let h be p(14). Sort h, 1, -5 in decreasing order.\nAnswer: 1, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 + 17 = -553*j - 415 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3564 and 6677?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*i - 8 = 402*i. Calculate the lowest common multiple of i and 225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7176 divided by 26\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(0 + 5 - 3) + 3*s + s - 5*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2130 and 0.412.\nAnswer: -2129.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/150 - h**4\/60 - 2*h**3\/15 + 4*h**2. Let i(c) = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 5. Let s(f) = -13*f - 11. Let l(b) = -9*j(b) - 4*s(b). Let a(n) = -n**3 + 6*n**2 - 13*n + 23. Let g be a(4). Calculate l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1421 + -1?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, l: 2}. What is prob of sequence lls?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 - 3*s - 1. Calculate the remainder when f(7) is divided by -3 - (575\/(-20) - 1\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.049 + -32.951. What is the biggest value in -5, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 22*v - 107. Let y be q(5). Let k(u) be the second derivative of 1\/3*u**3 - 5*u + y*u**2 + 0. Let f(m) = 2*m + 5. Give -7*f(i) + 6*k(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -2, 9430, 0, 2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 + 1125579*w**3 - 94*w**2 - 36835*w - 4130.\nAnswer: 20*w**3 + 6753474*w - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-3*-5)\/((sqrt(48)\/sqrt(3))\/sqrt(2)) + -4.\nAnswer: -4 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 = 24*b + 8*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521992811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 254240.\nAnswer: 76272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 138*(-60)\/(-1500)*1\/((-15)\/25)?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 464 = -4*c, 4*a = -5*c + 8*a - 554. Let x = 149 - c. List the prime factors of x.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 9:32 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(-11))\/p)*p**9)**(4\/15) assuming p is positive.\nAnswer: p**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 - 59*p**3\/2 + 115*p**2\/2 - 57*p\/2 = 0. Calculate p.\nAnswer: 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -18938 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsww when four letters picked without replacement from {d: 1, s: 1, e: 2, w: 5, x: 2, v: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11067 and 6236859?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 3 + 3 + (2*l - 3*l + 0*l)*(2 - 1 - 2) - 12*l + 5*l - 7*l + 1.\nAnswer: -10*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5891*-3.821\nAnswer: -2.2509511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67727, -135394, -203061?\nAnswer: -270728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1291 - 198720961\nAnswer: -198719670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(36\/17) - -2. Let r = 7 + -3. Suppose -q - 5 = r*q. What is the closest to q in -2\/13, w, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -27*a**4 - 9*a**2 + 9*a - 32. Let l(r) = 14*r**4 + 4*r**2 - 4*r + 16. Let s(v) = -9*l(v) - 4*t(v). What is the derivative of s(i) wrt i?\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170342 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2448) + sqrt(2448)*-1 + sqrt(2448)) + sqrt(2448))**2 + 0.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34457 is divided by 131.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1066*i**2*o**5 - 13*i**2*o**4 - i**2*o + 570*i*o**2 wrt o?\nAnswer: 63960*i**2*o**2 - 312*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -1 - (-3 - 14)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -11*g**7\/7 - g**3\/3 - 15*g**2 + 39*g. Find the second derivative of o(f) wrt f.\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -119.0031994847 and 0.01?\nAnswer: 119.0131994847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/6)*d\/(d*d**(2\/13))*d*(d\/(d\/(((d*d**(-3\/19))\/d)\/d)))\/(d**(1\/7)\/d) assuming d is positive.\nAnswer: d**(7387\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6203077407?\nAnswer: 3, 467, 1475869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 + 5110*j - 35525 = 0. Calculate j.\nAnswer: 7, 1015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*l + 20 = -0, 3*k - 3*l + 15 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -290\/7 in -2, 2\/17, -18, 0.1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o + 5 = 0. Let f = -21977\/8 - -2747. What is the nearest to o in -0.1, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -107\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17499*u**3 + 5773?\nAnswer: -52497*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 607109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a factor of 81594390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-21*y**4 + 37*y**4 + 0*y**4 - 1).\nAnswer: -16*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46999\/63 - -746. Calculate the common denominator of 8\/27 and w.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6060, -12116, -18188, -24282, -30404, -36560, -42756?\n\"Answer: -s**3 - 2*s**2 - 6043*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 12*v**2 - 19*v + 29. Is k(15) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 15 = -17*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 38574208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 79*z**4\/24 + z**3\/6 - 5*z**2. Let t be p(1). Suppose l + 20 = 3*l. Calculate the highest common divisor of t and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.5, -5.92?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 1, t: 5, u: 2, d: 2, x: 8}. What is prob of picking 1 u, 1 j, and 1 x?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 217*u + 269*u + 4 - 194*u.\nAnswer: -142*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243 is divided by 389.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + l + 9, -2*l + 0*l - 10 = 0. Which is smaller: 1\/14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 5 - (14 - 13 - 7). Let t = 7 + -2. Suppose -17 = -2*p + o + 6, 25 = s*p + t*o. Solve 6*a - p = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**2. Let y(z) = -18*z**2 - 2*z - 4. Let p(g) = -19*g**2 - 3*g - 6. Let t(m) = 2*p(m) - 3*y(m). Give j(t(n)).\nAnswer: 3840*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34119669 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((125\/(-20))\/(-25))*(-4)\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 25. Factor 617*h + 16*h**4 - 617*h + 20*h**b + 4*h**5 + 8*h**2.\nAnswer: 4*h**2*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 35*h + 86 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(4 + -13 + 1). Let v = i - -4. Let p = 24 + v. Solve 0 = 3*z + p, 5*q - z = z - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 5*i - 29. Let a be f(13). Suppose -a = -3*o + 3*u, 9*o - 4*o = -u + 149. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -23*q + 577, 41*i - 37*i - 2*q = -58 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-14 + 2)) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 13*c + 98. Let o = c - -85. Let l = 16 + o. Solve 4*z = 16, 0*x + z + 11 = l*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19811262, 19811264, 19811266, 19811268?\n\"Answer: 2*t + 19811260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 63*o**2 + 7*o + 179. Determine q(-63).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1974066293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = 4*o - 2*l - 2*l, -3*o + 629 = -2*l. Let s = -120 + o. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 = 25, 3*o - 4*i = 2741. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 times -5\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5658 - 5600.768. Let h = -0.032 + l. Round h to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*j + j - 5*f, 0 = 2*j - f + 1. Is -1\/14 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 115 - 47. Let y = f - -58. Suppose y*z = 2*b + 44, 0*b + 2*b = -3*z + 33. Calculate the highest common factor of 132 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171 - -7. Let l = m - -313. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21211 (base 3) to base 14.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-45) + 46\/(-6). Let h(z) = z**2 + 10*z + 18. Let l be h(d). Solve 0 = 2*q - 0 + l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 32*n + 9*n + n.\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*j = -21*i + 164*j - 377, j = 5*i + 89 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 448 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/27 + 4\/18. Let h = 1067 - 1069. Let a = -639 + 638. What is the closest to 2\/7 in a, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 654 - 3462. List the prime factors of (m - 0)*(-7)\/(-14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-8))\/(o\/o**(2\/43)))\/(o**(-1\/19)*o*o**(5\/7)) assuming o is positive.\nAnswer: o**(42234\/5719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-58)\/(-957)). Let x = l + 15. Suppose i + x*s - 92 = 0, 3*i + 64 = 5*s + 289. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 4, p: 2, o: 1, n: 3}. Give prob of sequence nrn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.68 at least 0.034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17235\/21227 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2451, 2, -0.05, -4, 1?\nAnswer: 0.2451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -759*j + 756*j - d - 38, 5*j + 3*d + 98 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 1 + 0 + c)*(444 - 84 - 221).\nAnswer: 139*c - 2780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5057450 to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -215*i*k*r**3*z + 4*i*k*r**3 + 70*i*k*r**2 - 13*i*k*r*z + 2*i*z + k*r**3 + r**3 wrt z?\nAnswer: -215*i*k*r**3 - 13*i*k*r + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4772160 to the nearest 10000.\nAnswer: 4770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10163 + -10250 - (5 + 1 + 2).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-30))\/(((-44)\/(-198))\/(3\/15)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*d = -10, -l - 3*l - d = -23. Suppose 2*b - 5*u - 22 = 0, 5*u + 2 + 13 = -l*b. What is the closest to -0.18 in b, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-12 + 11)) + (18 - -4)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-3 + 1)\/(-2). Let w be 2 + -3 + (-18)\/(-14). Is y smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w**2 + 2*w**2 + 11*w**2 + (0*w + 0*w + w)*(-3*w - 2*w + 3*w))*(-13*w - 74*w - 77*w) as a*w**2 + s*w**3 + t*w + v and give s.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -606 - -621. Solve g = -3*v, 0*m + m + v = -7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -59. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-4*(-12)\/32. Suppose -s*r + q = -17, 4*r - q = -11 + 35. What is the least common multiple of r and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340175777 to the power of 1\/2, to the nearest integer?\nAnswer: 36608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 1, -8, -21, -38, -59?\n\"Answer: -2*n**2 + n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 3*j + 6. Let o(d) = -6*d**2 + 5*d - 5. Calculate 3*o(x) + 4*v(x).\nAnswer: 2*x**2 + 3*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5539*a + 1395822. Give d(252).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305 and 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106323 + -63424. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, 5, -2 in descending order.\nAnswer: 6, 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7, -1\/4, 5, 126, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002151072 to 7 dps.\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215147773 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981103003?\nAnswer: 1423, 689461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75825 and 12132.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -325*c + 331*c. Let z(n) = -10*n + 3. Let l(g) = -10*g + 2. Give c*z(p) - 5*l(p).\nAnswer: 10*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2417422161?\nAnswer: 3, 7, 11, 10465031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 457263 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 867*b**3*f*o**2 - 3049*b**3*f + 3*b**3*o - b**2*f + 15187*b**2*o**2 + 550*b*f*o**2 + 2*b + 2*f*o**2 wrt b?\nAnswer: 5202*f*o**2 - 18294*f + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 9 - 3\/1. Suppose 2*s = 4*o - 26, l*o = s - 0*s + 17. Suppose 1 = o*f - 15. What is the smallest common multiple of 10 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228843.5 times -1?\nAnswer: 1228843.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-5) - (-7117)\/(-2640)*-4) + -13.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2*m + 3. Let i be (-3)\/9 - 632\/(-6). Let k = i - 107. Calculate b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58362 + -649690?\nAnswer: -708052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 32, 94, 194, 344, 556, 842?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:30 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93079 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Let t(l) = -11*l - 1. Suppose 0 = -5*v + 4*j - 37, 2*j = 3*v - 0*j + 23. Let b(y) = 5*y + 1. Let h(w) = v*b(w) - 4*t(w). What is h(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h - 4. Let s(b) = 9*b**2. Let q be s(h). Suppose i + 1 = 2. Solve 2*f = i - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.20004t in nanograms?\nAnswer: 4200040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -2838\nAnswer: 2838.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5596568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1046b6 (base 12) to base 5\nAnswer: -31203441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 14385888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - p - 5*p + 8*p. Let m(u) be the third derivative of -u**4\/24 + 6*u**2. Give w(m(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7819, -7826, -7841, -7864, -7895, -7934?\nAnswer: -7981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 632 and 158.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - t - 15, -2*g + 2*t - 15 = -21. Solve -3*i - 2*i = -g*z + 4, 0 = 3*i - 3*z + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/4 - z**3 - 3*z**2\/2 + z + 169. Let h be (0\/(-3) + -1)*3. Let g(m) = 2*m**2 + 2*m. Give h*g(r) - 2*t(r).\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 9*v**2 + 10*v + 1. Let b be g(10). Suppose b = f - 5. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111031 + -3?\nAnswer: -111034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) -1\/3 (c) 3 (d) 4 (e) 0.03 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 98 - -1?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, q: 1}. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 4*f**2 + 0*f**3 + 10328*f**4 + f**3 - 9976*f**4 to j + k*f**2 + n*f + a*f**3 + s*f**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -37*f - 5*f. Find v such that -1\/7*v**f + 0 + 0*v + 3\/7*v**3 - 2\/7*v**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31961 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 11447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 55*j - 118. Is 29 a factor of d(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1249480, 1249477, 1249474?\nAnswer: 1249471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -929 - -933. Suppose 5*l - a*r = 4*l + 2, -3*r = 2*l - 4. What is the least common multiple of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h - 45. Let a be (50\/15)\/((-10)\/(-15) + 0). Let o be z(a). Let j(g) = -2*g + 13. Let d(n) = n - 6. Let s(k) = -7*d(k) - 3*j(k). What is s(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/7, 3, 11\/4, 2, -5 in descending order.\nAnswer: 3, 20\/7, 11\/4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168601 take away -1?\nAnswer: 168602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -41. Solve -10 = 5*x, -x - x = -t*p + 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*h - 32, -3*q = -8*q - 5*h + 5. Solve -4*t - 21 = -5*x, -q*t + 10 = -0*x + x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:00 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 192098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4\/171 (c) -0.3 (d) 1\/5 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 133521, 267003, 400455, 533877, 667269, 800631?\n\"Answer: -15*b**2 + 133527*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -2.2. Which is the biggest value? (a) 0.3 (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233033533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -912.\nAnswer: -1\/912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000535 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -109 + 175 + -173 + 74.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44434 is divided by 126?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9068*x**2 - 18*x + 9067*x**2 + 127 + 18*x.\nAnswer: -x**2 + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 480\/280*14\/(-4). Let i(r) = -9*r**3 + 17*r**2 + 35. Let h(d) = 4*d**3 - 8*d**2 - 18. What is u*i(b) - 13*h(b)?\nAnswer: 2*b**3 + 2*b**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -38*t. Let p(r) = 402075*r. Give p(g(j)).\nAnswer: -15278850*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + u + (-3 - 2 + 3)*(u + 2*u - 4*u) + 0*u + 2*u - u + 0 + u + 0)*(-4*u + 4*u + 6*u) to o + b*u + a*u**2 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 158, 112, 38, -70, -218, -412?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let u be d - (7 - 1)*1. Sort 3, u, -4 in ascending order.\nAnswer: u, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/24*-4*(-4)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*9\/(216\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1831 - 1540 - 1231 = 354*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = t. What is the least common multiple of t and 944\/68 + (-7)\/(714\/(-12))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2040 = -j + 6*j - 2005, 12*g = -4*j - 196 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 70 = 5*w, 22 = -2*d + 2*w - 10. Let t = d - -7. Let p(c) = -c**2 + 3*c + 3. Let i be p(-2). Which is greater: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.028713+0.3\nAnswer: -72.728713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(0 + 1)*5\/(-15). Suppose 0 = y - 3, 3*r + 15 = -2*r + 5*y. Is b greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4854, 19548, 44328, 79428, 125082, 181524, 248988, 327708?\nAnswer: 417918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1058 + 101 - 64 = 219*y. Solve y*o - p - 4 + 16 = 0, -26 = -2*o - 4*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 8576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-20)\/15)\/(-1))\/(4\/18). Suppose 4*r - 2*u - k = -3*u, -2*r + 12 = -4*u. Solve -1 = -3*t + r*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1 + 0 - 69*s + 70*s. Let c be (-37 + 1)*((-63)\/(-14))\/(-9). Suppose c = 9*v - 18*v. Calculate m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 2*z + 5*z + 88*z**2 - 2 - 93*z**2. Let a be n(3). Suppose 16*f + a = 18*f. Calculate the highest common divisor of f and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 23*g**2 + 20*g - 38. Let y be u(-22). Let a be y\/(-18) + 7\/3. Factor 62*q**2 + 4*q**3 - a*q**3 - 70*q**2 + 8*q.\nAnswer: 2*q*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**(2\/7)\/w))*(w*w\/(w*w**(-1\/11)))\/w*((((w*w**(3\/4)*w*w)\/w)\/w)\/w)\/(w*w**(-1\/2)) assuming w is positive.\nAnswer: w**(-115\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10773e (base 15) to base 16\nAnswer: -bf8fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1\/(5\/10). Suppose -4*g + 4*k - 31 - 49 = 0, 0 = 2*g + 4*k + 28. Let d be -1 + g\/(-390)*5. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minus -21599574?\nAnswer: 21599607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2758*p + 790*p + 841*p - 375*p.\nAnswer: 4014*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffffffffffofofff.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 + 866*n + 530100 = 0.\nAnswer: -342, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6443, 12964, 19483, 26000?\nAnswer: 32515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5683 is divided by 2840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {j: 8, c: 7, n: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323760 and 18696.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1818\/(-432)*-12 - 48.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73861181 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1120 + 3752. List the prime factors of t.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*d - 24, 39 = -4*y - d + 61 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 4. Suppose 3*m - 6 = -b*t, 2 = m - 0*t - 4*t. Suppose -3 = -5*g + m. 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 remainder when 373 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -22. Is x greater than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5695*r**4*w + 2*r**3*w - 17*r + 122*w wrt r.\nAnswer: -68340*r**2*w + 12*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -4\/35, -0.3, 1, -1\/2?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 904*u. Let z(v) = -42*v. Determine z(r(l)).\nAnswer: -37968*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49032, -48993, -48934, -48849, -48732, -48577, -48378?\n\"Answer: a**3 + 4*a**2 + 20*a - 49057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 7*k - 118 = w, 3*k = -w + 334. Suppose -o - 2*l + 31 = 0, -2*o - 4*l = -7*o + k. What is the highest common factor of o and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 4*u - 4*u)*(-25*u + 5*u**3 + 25*u) + 120*u**2 - 42*u**4 - 120*u**2.\nAnswer: -37*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o - 22*o - 222 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c + 15*c - 16*c. Let q(s) = s. Let f(j) = -6*i(j) + 45*q(j). Let u(v) = -1. Let k(m) = -m - 2. Let r(n) = -k(n) + 2*u(n). Determine r(f(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/126 + (195\/70 - 3)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001 - -100101000?\nAnswer: 111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 5, -5, 62012.9, -1, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*(sqrt(343) + 1) + (sqrt(343) - (3*-1*sqrt(343) - sqrt(343)))))**2.\nAnswer: 3024*sqrt(7) + 197649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + t + 28 - 15*t to the form w*t + x and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153088 >= 153096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*f + 385*f + 4*w + 2590 = 0, 3*f - 3878 = 5*w. Is 1285 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -144*p - 3 + 1. Let q(o) be the second derivative of 0*o**4 - 3\/10*o**3 + 11*o + 3\/100*o**5 + 3\/5*o**2 + p. Suppose q(m) = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -753346 by 68486.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -1*4*sqrt(65))\/(2*sqrt(30)\/sqrt(6)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -26. Suppose -g*y - 5*t = -21, 0*y + 4*t = 3*y + 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16 = 2*x. Let t be x\/(-7) + 6\/21. Which is bigger: t or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:03 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h + 4*w - 95 = 0, 5*h = 4*w + 105. Suppose -n = 2*p - 6*n - h, 4*n + 20 = 0. Solve p = 5*g - 3*l - 14 - 8, 5 = 5*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -35999.1529 to the nearest ten.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/60 + p**5\/15 + 7*p**4\/24 - p**3 + 13*p**2 + 5*p. Calculate u(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 3, m: 2, u: 6}. Give prob of picking 1 n, 1 u, and 1 i.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -11. Suppose 10 = 4*m - 2*g, -6*g + g = 2*m + a. Let y be (m + 0)*(1 + 0). Solve -l - 4 = y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*j**3 - g**2*j**2 - 14*g**2*j - 549*g*j**2 + 258599*j**4 + j**2 wrt j?\nAnswer: 6*g**2 + 6206376*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2\/4 + 3753*v\/2 - 4695003\/4 = 0.\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*y**2\/3 - 205778*y\/3 + 2661792 = 0. Calculate y.\nAnswer: 272\/7, 29358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56088 divided by -456.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 + 214*t + 145. Let z be c(-35). Let m be (-1)\/(-3)*3\/21. Let x = m + -8\/21. Which is greater: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115605401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**7\/4620 + p**6\/396 - p**5\/220 - 3*p**4\/44 - 7*p**3\/6 - 7*p**2. Let m(y) be the first derivative of v(y). Factor m(b).\nAnswer: -2*(b - 3)**2*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644458 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = z + 5, -4*r = 5*z + 21. List the prime factors of (r\/(-8))\/(2\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/15*2\/((-16)\/(-20)). What is the third derivative of -19*r**5 - 4*r**3 - 15*r**3 - 7*r**i + 19*r**3 wrt r?\nAnswer: -1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 10*q - 5)*(1 + 3 - 2)*(1 - 2 - 2).\nAnswer: -60*q + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 + 58*q**2 + 110*q + 54 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -19 - 46. Calculate the remainder when 75 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/5 (b) 0.2 (c) -70 (d) 4 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*q + q**2 - 3*q**3 + 0 + 8*q**4 + 1 - 60*q - q**2 to the form w*q + x*q**4 + r*q**2 + s + c*q**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 + 153. Suppose -f = r + 1, 2*r - 2 = 4*f - 4. Sort -5, g, f in decreasing order.\nAnswer: g, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 1144623.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -324*h**2 - 28*h + 116. Let l(u) = -59*u**2 - 5*u + 21. Let f(x) = -28*l(x) + 5*n(x). Differentiate f(w) wrt w.\nAnswer: 64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -14, -18, -22, -26?\n\"Answer: -4*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543505145?\nAnswer: 5, 108701029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 11*m**2 - 20*m - 8. Let j(q) = q. Let w(i) = 6*j(i) + p(i). What are the prime factors of w(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(416\/(-260)*(-21)\/280)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {j: 5, e: 2, w: 1, z: 1, m: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -4, -2?\n\"Answer: 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q + 2*t - 6, -5*q - 4*t + 3 = 0. Suppose -3*o + 9 = -0. What is the derivative of -2*j**o + 5 + 7*j**q - j**3 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1 = 4*p + 34, -2*f = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z + 3. Let a = 0 - -5. Let j be f(a). Find the third derivative of j*q**2 + q**2 - 5*q**2 - q**4 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 554160387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdd when three letters picked without replacement from {p: 7, j: 1, u: 1, d: 2, c: 2, e: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(208)*5 - -3*(1 + sqrt(208))).\nAnswer: -32*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522.336l in millilitres?\nAnswer: 7522336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/29672 and -27\/168340.\nAnswer: 1248746120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + h + 242 = -2*h, 3*k - 2*h = 747. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.009 in 0.11, 1\/2, -0.5, 0.67?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*u = 129*u + 128. Let n = 42 - u. Solve -n = 5*x + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1\/((-9)\/6) - 380\/(-12).\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 10*c + 1. Let p(m) be the second derivative of -7*m**5\/20 - m**3\/3 + m**2\/2 + m. Let d be p(1). Is s(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 6*k**3 - 4*k**3)*(5*k - 2*k - 4*k).\nAnswer: 10*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*b**3 + 914*b**3 + 277 - 1449*b**3.\nAnswer: 155*b**3 + 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-100))\/((-3)\/(-15))*(-22)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - 5. Let i be -2 - (-3)\/(-12)*-9. Let f = 5.1 - 4.1. What is the nearest to f in i, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -29, -22, 1, 46, 119?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 + 3*w**2 + w**2 - w in the form o*w**2 + x + d*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5)\/((-4)\/(-10)). Suppose 3*b = -3*a - 0*a + 24, 5*a - b = 16. Solve 0 = 3*z - 2*v - 11, v + u = 2*z + a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1093 - 3409. Let r = v - -6325. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257702?\nAnswer: 2, 269, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -298*a - 5066. Let y be h(-17). Solve 81*i - 86*i + w = 20, y = w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121563636 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 2 = -10. List the prime factors of d\/(-6) - (-5038)\/33.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104 times 17?\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 3 - 3)*(7*g**2 - 2*g**2 + 0*g**2).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 18*k**2 + 17*k + 41. Let d be g(19). Put 1, 5, 11, d in decreasing order.\nAnswer: 11, 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.56 times 10378?\nAnswer: -109591.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1)\/u**9*(u*u\/(u**3\/u))\/((u**(-2\/7)\/u)\/u) assuming u is positive.\nAnswer: u**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 26.09. Which is the closest to 0.2? (a) l (b) -2\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -126. Calculate the greatest common divisor of z and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l - 12. Suppose 4*m + g + 23 = 0, -2*m - 222*g + 217*g - 25 = 0. Give j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297586 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 167336*k**2. Let y(o) = -4743*o. Give y(q(s)).\nAnswer: -793674648*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 2*u + 1. Let v be w(3). Let q be v\/(-5) + 2\/(-5). Let d be (-2)\/(-6) + (-1)\/q. Which is the third biggest value? (a) d (b) 1\/3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 337 = -2*c + 327 - 661, -7 - 4 = c - 3*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 6835830.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 6*y + 1. Let i(h) = -h**2 - 3*h + 1. Let b(a) = -3*i(a) - t(a). Suppose -2*c + 9 = c. Calculate b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**6*y + 5*w**4*y**3 - w**3 + w**2*y**2 + 2*y**3 wrt w?\nAnswer: -120*w**3*y + 120*w*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-772 - -731) + 27 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*c - 2, 0*p - 4*p + 2*c + 30 = 0. Suppose -p*q + 5*q = -382. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from nnaaaaaacnnnnn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (-8 + 13 - 16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -4. Which is the third smallest value? (a) -0.3 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/60 - m**4\/4 - m**3\/2 - 4*m**2. Let q be r(-5). What is the derivative of 3*x**4 + 0*x**3 + 0*x**3 - q*x**4 - 3 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -13a?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/3 - 1168*v**2\/3 - 92852*v\/3 - 1081976\/3.\nAnswer: -4*(v + 14)*(v + 139)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + 146 - 77 - 899*y to the form t*y + w and give t.\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -16*a**4\/7 - 873276*a**3 - 25979752*a**2\/7 - 30564336*a\/7 - 6112864\/7 = 0?\nAnswer: -382054, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 4*z**3\/3 + 9*z - 31. Differentiate l(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 5. Let f be u(4). Solve -3*c + 6*c + f = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/4 and 133\/24057702.\nAnswer: 48115404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29903 + 82972 = 105*n. Calculate the highest common factor of n and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -4101.\nAnswer: -1230.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n**2 - n + 1. Let b be q(1). Suppose b*v = v - 503. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 39099 (b) 152\/69 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 1.5. Suppose 2*n = -3 + 9. Which is the second smallest value? (a) j (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12968.793 minutes in days?\nAnswer: 9.00610625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -27, -10 in decreasing order.\nAnswer: -4\/5, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1) + (-170)\/(-70). Put -0.1, -5, n in decreasing order.\nAnswer: n, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1 + 17 + 1 + 13*b + 19*b**2 - 18*b**2. Determine h(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*g**4 - 244*g**4 - 92*g**4 - 86*g**3 - 2*g**2 + 3*g as v*g**4 + d*g + f*g**3 + w*g**2 + r and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/31 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 + 12*v - 30. Let f be c(-11). What is the greatest common factor of 360 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 49*r - 141. Give y(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:39 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2062, 2028, 1996, 1966, 1938?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {u: 4, n: 7, e: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 + 12665*q**4 - 6337190*q**3 + 1173298500*q**2 - 74115554040*q - 75295202400 = 0. Calculate q.\nAnswer: -1, 198, 1940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 30*i**2 - 1. Let n = -84 - -114. Let j be -5*(-18)\/n + -4. Give p(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100610 (base 8) in base 11?\nAnswer: 22a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/660 and -49\/594.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 901425 + -901423. Factor 36\/7 - 7*j + 5\/7*j**p.\nAnswer: (j - 9)*(5*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 314, 577, 950, 1457, 2122, 2969?\n\"Answer: 4*w**3 + 31*w**2 + 142*w + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0*d**2 + 0 + 0*d**5 - 18*d + 0*d**3 + 11\/30*d**6 + 1\/12*d**4. Find the third derivative of s(a) wrt a.\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8528*b*c**2*t + 4*b*c**2 - 2*b*c - b*t - 389*b + 3*c**2*t - 20*c**2 + 6*c*t - 4*c + t wrt c.\nAnswer: 17056*b*t + 8*b + 6*t - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-11595)\/55) + -4. Let i = d + -205. Which is the biggest value? (a) 6 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29312 is divided by 2252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8*g - 64. Let b(a) = -8*a - 60. Let v be b(g). What is the units digit of -6*v\/6 + 4 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 30*k**5\/11 + 318*k**4 - 8664*k**3\/11 - 11136*k**2\/11 + 34176*k\/11 - 11424\/11 = 0.\nAnswer: -119, -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*d - 484 + 2158 = -84*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 30. Suppose 0 = -2*a - g + 4, 2*g - 1 - 7 = 4*a. Let c be l(a). Let v = c + -12. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -545 - -919. Suppose m - 3*m = -t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 8. Let u be w(-8). Let n = u + -5. Suppose 5 = 5*j - 20. Solve -10 = 5*t + n*d, 16 = t - j*d + 46 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 8*j**2 - 8*j - 1102. Let w(x) = x**3 - 3*x**2 - 3*x - 367. Let d(f) = 11*w(f) - 4*y(f). Is d(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 4*l**2 + 2. Let n be (-2 - 4)\/(27\/(-18)). Suppose n*b + 12 = 24. Let a(q) = 7*q**3 - 5*q**b + 2*q**3 - 2 + 3 + 3*q**2. Give 4*a(r) - 3*z(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 (base 8) in base 16?\nAnswer: ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -109875*d - 45. Let y be b(-1). Round y to the nearest one thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-4) - -1 - 420\/(-24)) + -4 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-15)*14\/441*3. Let o(b) be the first derivative of -2\/3*b + 2\/27*b**3 - s*b**2 - 13. Factor o(y).\nAnswer: 2*(y - 3)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 8. Let m be r(-6). Suppose -32*f + 27*f = 115. Let u = f + 24. Sort u, 2, m.\nAnswer: u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5991, -3 in ascending order.\nAnswer: -3, 3, 5991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -575 + 597 + 3 + (-6 - -8 - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42742865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**1\/x))))**(-3\/4)\/(x**(-2))**20*(x**(2\/9))**(10\/3)*(x*x**(1\/4))**(-48) assuming x is positive.\nAnswer: x**(-2161\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 9:20 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*g - 23*g - 19*g.\nAnswer: 102*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.778879 take away -313?\nAnswer: 114.221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 762 + 83. Let g be y\/(-9) - 2\/(-9). Suppose r - g = -0*r. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00130423822 to 5 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.138 + -1.13806159. Round v to 6 dps.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8599 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24316349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/20 - 5*k**4\/12 + 8*k**3\/3 + 19*k**2. List the prime factors of w(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(252)\/sqrt(9)))**2 + (-1*((sqrt(320) - sqrt(320)*2) + sqrt(320) + sqrt(320) + sqrt(320)))**2.\nAnswer: 5125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12392 or 3?\nAnswer: -12392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 8, 100, -17, -5 in descending order.\nAnswer: 100, 8, 4\/7, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 1453*s**3 - 2910*s**2.\nAnswer: s**2*(s - 1455)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 - (12 + 4 + -10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -452, -520, -592, -668?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let p be (-1)\/4 - ((-100)\/16 + a). Suppose p*k - 1 = -c - 4, 0 = c + k + 3. Sort 0, 6, c, -4.\nAnswer: -4, c, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*l + 4)*(-1103 - 1265 + 939).\nAnswer: -2858*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19018 is divided by 1746?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 5, w: 6, n: 2, u: 5}. Give prob of sequence wu.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24485805241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -29 + (0 - -16) - (-24 + 12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 28232*n\/3 - 37632.\nAnswer: -2*(n + 4)*(n + 14112)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464335376?\nAnswer: 2, 19, 563, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3 + 891\/(-132)*5\/(-3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -108. What are the prime factors of (30\/(-10))\/(2*(-2)\/h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7344752?\nAnswer: 2, 459047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - 4*v + 6*v)*(5 + 1 - 4) - 4*v + 3*v + 3*v)*(24*v - 4*v + 0*v).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2529*l = -2525*l - 58, 70*n + 4*l - 204 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 26. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -168. Which is the nearest to f? (a) -1\/2 (b) 2 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29256\/(-1338462))\/(4\/6)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4.84. Let g = -99 - -103. What is the second smallest value in g, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-2)\/6) + 625\/150. Let l(s) be the second derivative of c*s**2 + 0*s**3 + 0 + 5\/12*s**4 - s. Differentiate l(k) with respect to k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3242557*a**2. Let m(p) = -5*p. Calculate l(m(v)).\nAnswer: 81063925*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 + 3*o**3 - 79163*o + 5 + 5*o**4 + 79204*o as u + x*o**3 + w*o**2 + k*o**4 + c*o and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -8262.\nAnswer: -1\/8262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -13.6, -0.169 in decreasing order.\nAnswer: -0.169, -1\/5, -13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 74294.7765 and 2.\nAnswer: 74296.7765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3270, 6540, 9810, 13080, 16350, 19620?\n\"Answer: 3270*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 737 (base 8) to base 2\nAnswer: 111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*w + 22, -w - 2 + 4 = 3*h. Suppose -3*x + 3 = -9. What is the tens digit of (h + x\/(-8))\/((-9)\/696)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2545 - -2592. Is -3.8 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7900 or -23\/2?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.4, -1, 77, 4, -2, 35\/6 in descending order.\nAnswer: 77, 35\/6, 4, 0.4, -0.9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 120*s**2 - 140*s - 140. Let k(l) = l**2 - l - 1. What is -700*k(r) + 5*p(r)?\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 144, 3, 5, 0, 295 in ascending order.\nAnswer: -11, 0, 3, 5, 144, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzmvmhhxz. Give prob of picking 1 v and 3 z.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*h**5 + 559*h**3 + 81752*h wrt h.\nAnswer: 1700*h**3 + 3354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000749095 rounded to six decimal places?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/7 - 200*p**3\/7 + 254*p**2 + 1980*p\/7 = 0.\nAnswer: -1, 0, 11, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 60*q + 602. Let p be g(-10). Solve -211*j - p*d = -206*j + 12, 6 = -2*j - 2*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 21, 31, 41, 51?\n\"Answer: 10*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10d8b0 - -7?\nAnswer: -10d8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 389018402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/(f\/(f*f*f*(f\/((f**1\/f)\/f))\/f)))\/(f*f**1)**(1\/22) assuming f is positive.\nAnswer: f**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12538.\nAnswer: 2, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7893 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 405902.44.\nAnswer: -1217707.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000736576 to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1317 divided by 3?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 19*m**2 - 64*m + 13. List the prime factors of n(-21).\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 + 10*p - 95. Calculate the remainder when z(6) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 87 - 127 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 5*x + x**2)*(-1 + 2 + 452*x - 180*x).\nAnswer: 272*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000040531422 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x + u + 18 = 0, -3*u - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 23, -11 in ascending order.\nAnswer: -11, -6, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 1 + 1)*((-5 - 3 + 3)*(-5 + 2 + 4) - 4 + 3 + 3).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*i**4 - 2*i**3*k - 210*i**2*o**2 + 5*i*k + i*o**2 + 2*k*o**2 - 2*k*o + 4413*o**2 wrt i.\nAnswer: 216*i**2 - 12*i*k - 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:26 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 7 = 0, -46*k + 44*k - 2*b - 14 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s*s)**(-12\/13)*(s\/((s*s**(3\/5))\/s))\/s**(1\/4))\/((s\/s**(-2\/25))\/((s\/((s\/s**7*s)\/s)*s)\/s)*(s**(2\/11))**4) assuming s is positive.\nAnswer: s**(46701\/14300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 3*z**2 - 2*z + 4. Let v(w) = -10*w - 7. Let q be v(-1). Suppose -2*y + 21 = y - 3*d, -q*d - 3 = 3*y. Determine u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 7*f**2 + 6*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-10))\/((-28)\/(-35)))\/(90\/48)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4168 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1194176 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -11585504.308.\nAnswer: -11585514.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(9\/(-30)))\/(8\/12). Suppose 2*s = s + a + 4, -20 = 3*s + 5*a. Suppose s*d + 15 = x*d. Which is bigger: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 29*t + 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -93*c - 998. Give i(-24).\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15984 - -38647. What are the prime factors of u?\nAnswer: 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44209943\/72 - 614046. Let c = p + 151\/8. Let q = 1\/4 + c. Sort q, -0.2, 0.1 in increasing order.\nAnswer: -0.2, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9666353g?\nAnswer: 966635300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 4*g**2 + 0*g**2 + (-2*g - 2 + 2)*(6*g - 3*g - g) + 0*g**2 + 0*g**2 - g**2 - 2*g**2 - g + 0*g**2 + g**2 to m + z*g + u*g**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/60 - p**4\/3 - p**3\/2 + 19*p**2. Give w(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0779 + 0.0779. What is the fourth smallest value in i, 2\/3, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(832).\nAnswer: -24*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqmqqqmqqmmqmmqqqm. What is prob of picking 4 m?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4000014 + 1.4. What is n rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188896116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/3*1)\/1. Let x(b) = -b**3 - 11*b**2 - 3*b - 7. What is the remainder when x(z) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 2*f + 2. Let b(s) = 3*s**3 + 9*s**2 - 9*s - 9. Suppose 0 = 2*j, 3*j = 4*r - r. Suppose 0 = -3*l - r + 6. Determine l*b(w) + 9*o(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -372*c**3 - 84*c**2 - c - 927793 wrt c.\nAnswer: -1116*c**2 - 168*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -256013 (base 7) in base 9?\nAnswer: -72365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217342852 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6413, -51386, -173449, -411146, -803021, -1387618, -2203481, -3289154?\n\"Answer: -6424*z**3 - z**2 - 2*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 - 4*c + 3. Let m be v(3). Let b be ((-24)\/3)\/(m - 2). Suppose -j - o + 74 = 2*j, 5*o = -b*j + 84. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 6*o - 3. Let m be j(7). Suppose -m*d - d - 2*a + 9 = 0, 0 = -5*a - 15. Factor -z**d - 5*z**3 - 4*z**4 + 0*z**3 - 2*z**3.\nAnswer: -4*z**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2165, 4332, 6499?\nAnswer: 8666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-523*f + 206*f + 1305*f)*(-2*f + f - f)*(-5*f + 4*f + 0*f).\nAnswer: 1976*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/2 - 12)*4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*w - 3808*w - 379*w + 509*w - 3093*w.\nAnswer: -6445*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65229 = 558*i + 899*i - 178*i for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, -22, -65, -134, -235, -374?\n\"Answer: -o**3 - 4*o**2 - 4*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*c + 14 = -136*c. Let s = 5.6 - 6. Sort c, -3, s in descending order.\nAnswer: c, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9*a*(a\/a**(-13))\/a)\/(a*a**1*a)**(1\/7) assuming a is positive.\nAnswer: a**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(100\/(-10))\/70*42\/(-120)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -118\/57?\nAnswer: -118\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = 2*p + 5*i - 370, 4*p = -4*i + 1716. Let c = p + -430. Let g(x) = -x - 1. Let j(z) = -5*z - 5. Determine c*j(t) + 9*g(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppe when three letters picked without replacement from plppplepplplpe?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31c (base 16) in base 12?\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 e when three letters picked without replacement from {p: 1, y: 1, k: 1, j: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902870830?\nAnswer: 2, 5, 90287083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let m be ((-5)\/(0 + -5))\/(1384\/(-9656)) - -7. Which is bigger: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4 - 551*j**3 + 28*j**2 - 2*j - 8 wrt j.\nAnswer: 24*j - 3306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/7 (c) 1\/5 (d) -23\/2 (e) 2\/25 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*y - 16*y - 62*y)*(-3 + 0 + 1).\nAnswer: 76*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36874836 divided by -3?\nAnswer: -12291612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 2*w, -5*s + 0*w + 22 = 2*w. Suppose 0*j - 5295 = -j + 5*u, s*j - u = 21218. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -7 - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 339*v**2 + 3812*v - 3812*v + v**2 - 2*v**2 + 3*v**2 + (-1 + 4 - 4)*(2*v**2 + 3*v - 3*v) - v**2 - 3*v**2 + 2*v**2 + 4*v - 4*v - v**2.\nAnswer: 336*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52624 - 39027. Let u = p - -91650.60017. Let v = 0.4 + u. Round v to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*d = -486*d - 1031*d - 208340 for d.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1417b8 (base 12) to base 5\nAnswer: -41202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 16*q**2 + 14*q + 218. Let d(b) = 3*b**3 + 38*b**2 + 28*b + 433. Calculate 3*d(s) - 7*x(s).\nAnswer: 2*s**3 + 2*s**2 - 14*s - 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80792 or -84193?\nAnswer: -80792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 198643, 397374, 596105, 794836?\n\"Answer: 198731*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 117*g**2 + 375*g - 3851. Give u(114).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141541370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5618523937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1. Let j(o) = -4*o**2 - 2*o - 3. Determine -j(l) + 4*v(l).\nAnswer: 4*l**2 + 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123466706?\nAnswer: 2, 11, 37, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 5\/12572021?\nAnswer: 5\/12572021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2218874027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -23. Let p = 5 + z. What is the tens digit of (22 - p) + 7 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 2, -2\/5 in increasing order.\nAnswer: -2\/5, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - (7 - (3 - -3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/9))**(-3\/10)*j**(9\/4)*j**(-3\/4) assuming j is positive.\nAnswer: j**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/25 + 2*y**4\/5 - 2*y**3\/3 + y - 3. Factor o(k).\nAnswer: -4*k*(k - 5)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 18 + 30 = 0. Suppose -q*u = -j + 1 + 42, -5 = u. Let v(a) = 2*a**2 - 2*a - 4. Calculate the remainder when j is divided by v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568 = 9435*m - 9603*m + 6272 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = r + 547, 513 = 3*w - 2*r - 308. List the prime factors of w.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 15*p - 33. Let q be x(12). Let u be (-1 - -4) + (q - 6 - -1). Which is greater: 15\/8 or u?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*12\/(-40))\/((-3)\/(-1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2882, -5769, -8678, -11609, -14562, -17537, -20534?\n\"Answer: -11*o**2 - 2854*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 - 28?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-15))\/((-4)\/(-54)). What is the highest common factor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 74, 185, 362, 617, 962, 1409?\n\"Answer: 2*a**3 + 15*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 159 = 22 + 149 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 + 84 = 0. Calculate the remainder when 43 is divided by ((-24)\/20)\/((-6)\/z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j**2 - 2*j - 3. Let c be d(-1). Let u = c + 64. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Suppose -b - 4 = r + 1, 0 = -2*r + b - 22. Let i = -8 - r. Let l(v) = -6. Let g(d) = 2. Let j(c) = -17*g(c) - 6*l(c). Determine i*j(y) + o(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**8\/336 + 23*d**7\/210 - 47*d**6\/60 - 43*d**5\/6 - 481*d**4\/24 - 169*d**3\/6 + 2*d**2 + 4. Find v, given that j(v) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/14659 and -53\/6.\nAnswer: 87954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u**(-4))**(-1\/20)\/(u**(-36)\/((u**(-5)\/u)\/(u\/(u**1\/u*u)))) assuming u is positive.\nAnswer: u**(601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 22 (b) -0.5 (c) -5 (d) -2\/7 (e) -9881 (f) 8 (g) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214 + -213. Let s(x) = -2*x - 4*x + 7*x + b + 2*x. Determine s(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**19*(k\/k**(-1\/27))\/k*k*k*k*k*k*k**(-37)*k*(k\/(k*k*k**(-36)))\/k assuming k is positive.\nAnswer: k**(595\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 5490*p**2 - 4 + 2*p**3 + 5458*p**2 with respect to p.\nAnswer: 6*p**2 - 64*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 2 - -1733)*10\/(-6). Round v to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746874?\nAnswer: 2, 3, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 t, and 1 c when four letters picked without replacement from cttttttmmtccm.\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -150436?\nAnswer: 150437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7891881.\nAnswer: 3, 2630627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(2200))\/(sqrt(11)*-1*-2 + sqrt(11) + -1*sqrt(11)*-2).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*q = 225*q - 2263 - 929 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:47 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4396747*h + 30777221. What is m(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8329 - 3*t + 428*t**5 - 10*t - 8329 wrt t?\nAnswer: 8560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37c (base 16) to base 11\nAnswer: -741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28461.831us?\nAnswer: 0.00047436385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqioighq. Give prob of picking 1 o and 2 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*k - 3, 3*k - 6*w + 1 = -5*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 + 2 + (0 + 9 - (27 - 23)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*k + 1671 + 917, -3256 = -5*z + k. Let a(b) = -75*b**2. Let c be a(-2). Let m = c + z. Calculate the greatest common factor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003913 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:00 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62992 is divided by 460.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffp. Give prob of picking 1 f and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {z: 2, m: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 145. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1627571458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s + 20. Let q be d(5). Does 16 divide (0 - -8)*q*2\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 6205.\nAnswer: 4\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*405\/297 + (-5 - -26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22587*q - 11291*q - 30 - 11294*q.\nAnswer: 2*q - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/28)\/((-80)\/140*-3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2. Let i(r) be the first derivative of -r**2\/2 - 37. What is i(o(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-7))\/(4\/(-14)). Suppose 3*i - 313 = -i - 5*t, -x*t - 134 = -2*i. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -28)\/(2*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - 3*v)*(196*v - 172*v - 254*v)*(-2*v + 2*v - 2*v)*(34 + v**2 - v - 34).\nAnswer: -460*v**5 + 460*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*(-65 + 19480\/280).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.050979+520\nAnswer: 519.949021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4276, 0 in decreasing order.\nAnswer: 1, 0, -4276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 52*d**2 + 4*d + 98. Let z be y(52). Calculate the greatest common factor of z and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.23 - -0.03. What is the closest to 3 in 0.4, m, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 12 = -2*i + i, 0 = -i + 4*z + 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.64 + -12.64. Let v = 7\/6 - 61\/42. Let d be (-525)\/1225 + (-2)\/(-70)*8. Which is the third smallest value? (a) d (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -6)*77\/(-55). Solve 0 = -r + 6*r - 10, -f = 4*r - v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 4. 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 = -14548.8 - -14549. Put -1\/4, q, -1\/27, -0.2 in ascending order.\nAnswer: -1\/4, -0.2, -1\/27, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102797720 a multiple of 14665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140593 is divided by 35083.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n + 2. Let a be i(2). Let d = 25 - a. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 + -23576018.\nAnswer: -23576056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2236, -18089, -61122, -144925, -283088?\n\"Answer: -2265*g**3 + 2*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/(-10) - (-178 + 169). Which is smaller: s or -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = 5*v + 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/40)\/((12\/(-4))\/3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 46*m - 44*m - 42, -m + 18 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*k + 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 65*r**3 - 2*r**2 + 6*r - 3. Suppose -18 = f + 5*u, 2*f - 3*u - 17 + 1 = 0. What is the units digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4443 = -g - 59*t + 58*t, 2*t = -3*g + 13335. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1350)\/(-81)*18\/56*2\/(-3)?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/21)\/(2*(-2)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870*x + 21 - 7*x**2 - 6 - 7.\nAnswer: -7*x**2 - 870*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -777, -768, -761, -756, -753, -752?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(272) - sqrt(272)) + -1 + -3)**2*-4.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let d = 362 + -358. Sort -5, v, d in ascending order.\nAnswer: -5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19181 less than 7.7?\nAnswer: 19188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43 and 7826.\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(-4 + 4). Suppose y = -q + 8 + 4. Calculate the highest common divisor of 84 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose z = 5*x + 7, -z + 7 = 2*z - x. Let t = y - z. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 1776 - 1776.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 139 = -66*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 7*u - 3*u + 6, 4 = 2*j + 4*u. Suppose 2*w = -2*a + 4 - 0, -j*w + a + 19 = 0. What is the remainder when 12 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/3 - 29914*b\/3 = 0.\nAnswer: 0, 14957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1069, 2\/9, 5, -3 in decreasing order.\nAnswer: 5, 2\/9, -3, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -8 + 48. Let t(h) = -h + 14. Let g = 14 - 13. Calculate the lowest common multiple of g and t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 + 3*a - 3. Let o = -36 + 49. Suppose o*n + 40 = -25. Let f(c) = -c + 2. Calculate n*g(r) + 6*f(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1\/2*(-4 - -4). Suppose 5*x - 3 = -4*y + 9, v = y + 3*x + 4. Is (y\/(-20))\/(3\/(-2055)) + -1 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*n = -184*n + 391*n - 3159. Calculate the remainder when 658 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*y = 667*y + 2*q - 174, 0 = 3*y - 12*q + 55 + 71 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 309.\nAnswer: -32\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 87536*s\/7 + 1915637824\/7.\nAnswer: (s - 43768)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(624)*2 - -2*sqrt(624)))\/(sqrt(3) + -3*sqrt(108) + sqrt(3) + (-2*3*sqrt(3) - sqrt(3))).\nAnswer: -16*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 224592 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 27, -35, 0, 99.\nAnswer: -35, 0, 1, 3, 27, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*(-2)\/2*5\/84. Let m = t - 9\/14. Let j = 0.8 + 2.2. Sort 5, m, 2, j.\nAnswer: m, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 1305 = -1638. Let r = s + -4907\/15. What is the smallest value in 5, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0758 + 318.0758. Let n = -304.3 + z. Round n to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147699 + 147578.951. Let t = -283 + 163. Let f = g - t. Round f to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 14 = -4*m. Let o be m - (-4 + 0 + 0). Suppose 3 = o*f - 3*t, 6*t = 2*f + 2*t - 4. Which is the nearest to f? (a) 0.5 (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.9 minus -5?\nAnswer: 920.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179560 and 54940.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:01 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209492?\nAnswer: 2, 83, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47420039 is divided by 604.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5214 - 5212.629. Round m to two decimal places.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i. Suppose -4*p - 40 = -4. Let c(x) = 17*x**2. Let v(u) = 4*u**2. Let g(t) = p*v(t) + 2*c(t). Determine o(g(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 - 78*q**2 - 361*q + 152. Let d be n(-9). Let u be (2 - (0 + 0))*-2. Put d, 4, u, -5 in descending order.\nAnswer: 4, d, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:02 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -5*f**4\/12 - 7*f**3\/3 - 3*f**2\/2 + 16*f. Let u(k) = -k + 1. Let s(b) = -l(b) + 6*u(b). What are the prime factors of s(-4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87\/332 + 1\/83. Put i, 0, 5 in increasing order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 47. Let f(d) = -7*d. Let h(u) = a(u) - f(u). Determine h(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -658 - -3286\/5. Which is the fourth biggest value? (a) 0.08 (b) 0.5 (c) 3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/72 + 5*f**4\/24 + 16*f**3\/3 + f**2 + 15*f. Let s(g) be the first derivative of c(g). Factor s(p).\nAnswer: -5*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -1154, -2596, -4614, -7208, -10378?\nAnswer: -14124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a5 + 3?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-40))\/(3\/(5655\/(-26))*1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4\/5 + 6498*w**3\/5 + 58614*w**2\/5 + 19558*w - 32580 = 0?\nAnswer: -5, 1, 3258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18229.08t to milligrams.\nAnswer: 18229080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -33. Let s(t) = t**2 - t + 1. Suppose -x = 5*h - 10, 2*h - 4 = -0*h + 3*x. What is the remainder when s(f) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 0*d**3 + 206 - 400 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**6\/72 + j**5\/20 - j**3\/3 + j. Let b(c) be the second derivative of k(c). What is the second derivative of b(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Suppose -c = c + 4*l + 14, -4*c + 4*l = -32. Suppose -n = 7*g - 2*g + 12, 0 = c*n - 2*g - 32. Calculate the greatest common factor of d and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(b - 3*b + 0*b) + b - 3 + 3 + 4*b + 0*b - 2*b + (-4*b + 5*b + 0*b)*(-3 + 1 + 4) + (3*b + 0*b - 4*b)*(-1 - 1 + 0).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(1\/(-3 + (-7)\/(-2))). Let y be -5 - (j + 1) - -1. What is the second smallest value in -1\/9, 2\/17, y, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 31, -5 in decreasing order.\nAnswer: 31, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 5*t - 4*p, -t + 4*p = -5 - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-14 - 0 - -1 - (-1063 + 1022)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 242*r + 6. What are the prime factors of u(2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s**2 + 1411*s**3 - 2813*s**3 + 0 + 1400*s**3 + 0 + 13*s**2.\nAnswer: -2*s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a*a**(-34)\/a*a)\/a)\/a)\/a**(5\/12))**(11\/5) assuming a is positive.\nAnswer: a**(-4543\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1834, -8, 5 in descending order.\nAnswer: 1834, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.77992 to 2 decimal places.\nAnswer: -3.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6105293 is divided by 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k + 5592 + 5607 + 5608 - 16808.\nAnswer: -42*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 47. Which is the closest to -1? (a) v (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2508539 = -9964*a + 9953*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 2*i + 7678, 19165 = 5*l + i. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + u + 26 = 0, 2*r = -5*u + 119 - 137 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*a - 56, a + 7*g - 4*g - 24 = 0. Let i = a + -6. Suppose i = q - 4*x - 69, -3*x - 352 = -4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Suppose -q - 39 = -s*q. Suppose -k - l - 2*l + q = 0, -k - 5*l = -15. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 102 - 94 = b, 3*a - 27 = -5*b. Let f(h) = -3*h + 2. Let l(w) = w - 1. Determine a*l(v) - f(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 27573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2011 or -2006?\nAnswer: -2011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**3 + 3*t**2 + 6*t. Let f(h) = -8*h**3 + 3*h**2 + 5*h. Let s(d) = 6*f(d) - 5*r(d). What is the third derivative of s(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-27) - (-18)\/81. Sort 4, -5, b, -4 in ascending order.\nAnswer: -5, -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 203*b - 9665 = 718*b + 120 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695 is divided by 227 + -17 + 33 + -12?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.1 + -104.9. Let b = 118 + v. Sort -1\/4, 0.9, b.\nAnswer: -1\/4, b, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 284 = 369 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400*p**4 - 19*p**2 - 14*p + 498.\nAnswer: 4800*p**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 20*a**2 + 8*a. Let s(o) = -o**3 - o**2 - 2*o + 1. Calculate -5*s(f) - x(f).\nAnswer: 2*f**3 - 15*f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1404*v - 1454*v - 1800 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 7*j - 2 + 0*j**2 - 1. Let g be 2\/6 + 42\/9. Let c be d(g). Solve -5*u = -c - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**7\/210 - 17*k**6\/96 + 7*k**5\/80 - 2*k**2 - 118. Find m, given that r(m) = 0.\nAnswer: 0, 1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - -204. Suppose b + 3*s + 30 - 85 = 0, 2*s + v = 4*b. Suppose 0 = 6*c + 16 - b. Solve -c = 5*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-1\/2)*b))\/b)\/(b\/(b\/((b*b**(-1\/4)*b)\/b*b)*b*b))*(b**0*b)**(2\/19) assuming b is positive.\nAnswer: b**(-11\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -28*i**2 - 7*i - 7. Let w(l) = 19*l**2 + 5*l + 5. Let x(c) = 5*p(c) + 7*w(c). Let r(f) = -2*f. Calculate x(r(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lflb when four letters picked without replacement from {l: 2, f: 2, n: 1, b: 6}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9*k - 100 = -4*k, 2*k - 35 = 3*o. Which is smaller: o or -213\/14?\nAnswer: -213\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35521876 is divided by 345.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 17*d**2 - 45*d - 14. Suppose 0 = -4*i + 164 - 220. Calculate the remainder when s(i) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -63134\nAnswer: 378804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20424*b**4 + 10*b**3 - 10001266 wrt b?\nAnswer: 81696*b**3 + 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.08126151 - -0.08126279. Let y = 19.1 + -3.1. Let v = y + u. What is v rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.84 (b) 23 (c) 16 (d) 1\/6 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.718186 and -0.2.\nAnswer: 0.7436372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 547 times 1091\nAnswer: 596777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9190371721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2, -363, -3, 16 in increasing order.\nAnswer: -363, -5, -3, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 - -65. Does 37 divide (-5)\/((-15)\/t)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28466.2 rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-b**2 - 4*b**2 + 3*b**2) + 48880*b**2 - 96386*b**2 + 14 + 48469*b**2.\nAnswer: 959*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -46 (b) -8 (c) 1.8 (d) -4 (e) 0.5 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 - (93 + -96 - (-11 + 0)). Which is bigger: -370\/41 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1301400 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 33 - 16 + 16*k**5 - 18 - 2*k**5 + 3*k**5 + 0*k**5 + (4*k - k - k)*(1 - 1 - k**4) - k**5 + k**4 - k**4.\nAnswer: 14*k**5 + k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12267342 - 9912?\nAnswer: -12277254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**4 - 88*d**3 - 387*d**2 + 490*d. Let f(w) = -25*w**4 - 2370*w**3 - 10450*w**2 + 13230*w. Let m(o) = 2*f(o) - 55*x(o). Solve m(c) = 0 for c.\nAnswer: -14, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 7*a - 9. Suppose -5*x + 0*p = -4*p + 30, -5*p = 3*x + 18. Calculate n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 38*j + 386. Give i(22).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 3*x**8\/4480 + x**7\/2240 - x**6\/480 - 5*x**3\/6 + 8*x. Let a(i) be the second derivative of c(i). Factor a(k).\nAnswer: 3*k**2*(k + 1)*(3*k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65.1 - -61.4. Put -1, w, 1\/5 in decreasing order.\nAnswer: 1\/5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 6562\/76639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:57 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-8))\/s)\/s*s**9*s\/((s*(s**(2\/21)*s)\/s*s)\/s)*s**(1\/36) assuming s is positive.\nAnswer: s**(4015\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -38*y + 8455. Let b be j(0). Let x = 4912 + b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594 divided by 1.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 - (0 + 18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*l - 9, -5*x = 3*l + 4. Is (-14)\/(x + 33\/(-31)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 518.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*l - 74*l + 395. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103221 (base 4) to base 3.\nAnswer: 110221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -156344.5 to the nearest one hundred.\nAnswer: -156300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7721*m + 6. Let y be w(5). Let x = y + -35097403\/909. Let g = 46315\/9999 - x. Find the common denominator of g and 89\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 21*u**2 + 10*u - 145. Calculate q(-22).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1740937 divided by 2.\nAnswer: -1740937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 15*z**4 + 20*z**3 - 20*z**2 = 0?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 32, -1\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5383, -2613, 4899, 19523, 43629, 79587?\n\"Answer: 395*x**3 + x**2 + 2*x - 5781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-10955\nAnswer: 109.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 652 + 1376 = -26*t. Suppose -346 = 2*y - 5*m - 51, -5*m = -5*y - 700. Let w = t - y. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -37*x**4 - 28*x + 1 - 73*x**3 - 40*x**2 - 27*x**2 - 5 - 7*x**5 = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -30*m - 77 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 2415 = -11*t. Suppose -4*p + t = -95. Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 6*o + 4. Let x be n(-2). Suppose 2*u - 134505 = 3*m - x*m, 0 = -5*u + 25. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 - 72. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17\/8 + 93\/8. Calculate the common denominator of 3\/((-108)\/(-74)) + -3 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1359?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqfffvffqhq. Give prob of sequence hzff.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8195672, 16391346, 24587020, 32782694, 40978368, 49174042?\nAnswer: 57369716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91054480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31518.\nAnswer: 2, 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 4\/9584335, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(833) + 1 + sqrt(833) + -1 + sqrt(833) + 1)**2 + 2 + 1) + 1.\nAnswer: -45005 - 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.21, -2\/5, -94.3, 2.2, 0.1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-10))\/(g\/(g*g**9)*g)*g\/(g**3*g)*g**(6\/11)\/g assuming g is positive.\nAnswer: g**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/3*-6494 - 16\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01071792193 from 0.362.\nAnswer: 0.35128207807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (6\/4 - 0)*2. Suppose 0 = v*o - 2, 5*q + 2*o = 127 + 115. Calculate the greatest common divisor of q and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/10*15)\/(1\/(-2)). Suppose 2*i = x - 5. Suppose 0*o = r + o - i, -21 = -4*r - 5*o. Calculate the highest common divisor of 20 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3618 - -5217. What is the greatest common factor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333705618 by -6.\nAnswer: 55617603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13031911 divided by 3?\nAnswer: -13031911\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 111. Suppose y + 0*y = 2*k + h, 3*y - 71 = 4*k. What is the tens digit of (-5)\/(k\/684) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/540 and -51\/16240975.\nAnswer: 1754025300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88, 719, 2936, 7693, 15944, 28643, 46744?\n\"Answer: 159*l**3 - 161*l**2 + l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -2) + (-9)\/(-12))\/((-178)\/(-712)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(3)*1.\nAnswer: 1 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -24*s + 8. Let i be o(-1). Let w = i - -167. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -303043 or -303040?\nAnswer: -303040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -17.6. Let n = y - -0.5. Let g = 1.96 + -2. What is the smallest value in n, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0047138 months in millennia?\nAnswer: 0.00008372615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 8 - 4. Solve -h - 3 = 2*j, -j + 4*h = -5*j + p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-111 - -122) + (-6)\/1. Solve -2*m - s*a - 14 - 21 = 0, 3*m + 2*a + 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914 is divided by 1456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/26*(-15483)\/5955*17\/3?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22886266574 - 0.5\nAnswer: 22886266573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -706 (b) 0.8 (c) 2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 505838 divided by 127\nAnswer: 505838\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {x: 1, m: 1, l: 3, u: 1, i: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*l + 0*m = 1011*l + 3*m + 6, -5*m - 10 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + sqrt(468) + (sqrt(468) - (sqrt(468) + sqrt(468) + sqrt(468) + 2 - sqrt(468))))*4*6)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 933 + -897. What is the tens digit of d + 942 - 2\/(0 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -68 (b) -2\/7 (c) -71 (d) -2\/5 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05177 times -2\nAnswer: -0.10354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 6*t**2 + 9 + 4*t**2 - t**3 - 9*t - 7*t**2. Give p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -212 + 230 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(1 + 3))\/(-1). Suppose p + f*p = -0*p. Is p at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32338126 - -4.\nAnswer: 32338130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13474?\nAnswer: 2, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**(-3\/10))\/(r*r*r**(1\/3))**10 assuming r is positive.\nAnswer: r**(-719\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 141105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 4, r: 11}. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259466348 to the nearest integer?\nAnswer: 16108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77743 - -2?\nAnswer: -77741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r = -83*r. Solve 3*v + 2*y + 25 = r, -4*v = 5*y + 68 - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/50 + -11)*15\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034 less than -3396380223795?\nAnswer: -3396380223795.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24826 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308 + -343. What is the nearest to -1\/4 in -2\/3, m, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14473403 and 11\/26879177?\nAnswer: 188154239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - (-10812)\/(-48). Let y = b + 226. Solve -y = -3*u - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905*t + 141878 = -1618*t + 47851 - 259193 for t.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 9628505*q**3 - 4635371726800*q**2 + 32448073886060*q.\nAnswer: -5*q*(q - 7)*(q + 962854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (6 - 3) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/3*x + 7\/3*x**2 - 1\/3*x**3 - 1\/3*x**4 + 2 = 0. What is x?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3 - 3 + 2*s + 3*s**2 - 2*s**2 + 2. Suppose -21*l + 26*l - 15 = 0. What is the least common multiple of z(3) and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2. Suppose o - 6 = -4. Suppose -o*x + 3*x - 2 = 0. Let y(u) = -u**x - 5*u + 5*u. Give y(v(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 912 and 912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 22\/210415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 124, 6 in increasing order.\nAnswer: -4, 6, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 18. Let f(w) = w**3 - 9*w**2 - w + 11. Let d be f(g). Solve 0 = -3*k - d*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6744116 - 13724116. What is z rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2229615 and -0.3.\nAnswer: -668884.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -312459\/2 > -156230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 11*m**2 - 129*m + 459 = 0. What is m?\nAnswer: -9, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 6*z. Let s(o) = 3*o**2 - 13*o. Determine -5*g(w) + 2*s(w).\nAnswer: w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 367027517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 5*q - 28, q = 5. Suppose -3*v + 10 = -s. Solve 0 = 3*z - v*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y - 36. Let b(o) = 3*o - 7. Let u(n) = 16*b(n) - 3*j(n). Let q(c) = -11*c + 7. Give -4*q(z) - 7*u(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2. Let p(t) = 96*t**2. Determine o(p(d)).\nAnswer: 55296*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 269.95829, 12?\nAnswer: 269.95829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559863 to the power of 1\/2, to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 - 3*v**2 - 2*v + 4. Let t = 12 - 12. Suppose 0*d + 7 = -u - 4*d, t = 5*u + 4*d + 19. Is m(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 15 = -6*v. Let h(w) = 6*w**2 - 6*w + 1. Let o(k) = 7*k**2 - 220*k - 12 + 213*k + 13. Determine v*o(t) - 6*h(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 677044 and 4385?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*w + n + 21 = -488*w, -3*w + 7 = -2*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 473393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 1029932 in ascending order.\nAnswer: -4, 0, 1029932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 8.5. Let r = m + 6. Sort 4, 5, r in descending order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1089*j**3 - 193768*j - j**2 + 193768*j to the form o*j**3 + n*j + r + k*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 908948.1435802 - 908948. Let w = 0.1437 - z. Round w to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 293*w + 464. What are the prime factors of q(6)?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 88, 173, 314, 529, 836, 1253?\n\"Answer: 3*g**3 + g**2 + 23*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 401 - 401 - 7*h**2 as i + m*h**2 + j*h and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 577 - 577.5. Sort -2\/3, f, 2, 24 in ascending order.\nAnswer: -2\/3, f, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 640*q**2 - 80\/3*q**3 + 5\/12*q**4 - 21*q - 1. Factor j(p).\nAnswer: 5*(p - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*o*x**3 - 188*a*w + 47*o*w*x**2 + o*w + 2*w*x**3 - w*x wrt o?\nAnswer: -2*a*x**3 + 47*w*x**2 + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 11*h**2 + 12*h - 16. Suppose 8*a = 31 + 49. Let o be f(a). Suppose -o*d - 5*m + 105 = 8, -2*d - 5*m = -51. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 16 = 4*o, 3*o - 34 = -4*t - 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(129\/602).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -5*z**3\/3 + 13. Let g(f) = -7*f + 2. Let p(j) = 50*j - 6. Let o(t) = 3*g(t) + p(t). What is o(s(c))?\nAnswer: -145*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -23. Suppose 5*f = -w + 13. Let d(s) = -22 + f*s + 22. Let m(x) = 4*x**2. Determine d(m(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 1. Let i be -3 + -12 + (-27)\/((-486)\/288). Sort 3, 0, i, a.\nAnswer: a, 0, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -12. Calculate the common denominator of 103\/6 and (324\/51)\/u + -2.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 105*v\/4.\nAnswer: -v*(v - 105)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3*h + 25 = -14*m, 19 = -m + 5*h. Let w be (m\/12)\/(3\/(-27)) + 2. Which is the closest to -2\/5? (a) w (b) 2\/27 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 22 - 29 = -4*k, 0 = 2*k + 2*y - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - -8. What is the highest common divisor of y and 1862?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**3 - 3*x**2 - 4*x - 6. Let y(u) = -7*u**3 + 2*u**2 + 2*u + 3. Let k(i) = 4*d(i) + 7*y(i). Give k(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9882.676 minutes to nanoseconds.\nAnswer: 592960560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-612) - 616245\/5355.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558 - 1580 = -3*h. Let l = -101033 - -408255\/4. Let a = h - l. Calculate the common denominator of a and 52\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -255.9 + 256. Let d = 0.02 + 0.28. What is the third biggest value in k, -2, d, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2388 - 486 - 183 - 60 - 59*q**2 + 58*q**2 in the form a + k*q + o*q**2 and give a.\nAnswer: -3117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/7))**(-9)\/(g*g**17*g*g)**(-5) assuming g is positive.\nAnswer: g**(754\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3471 = 144*g - 3638 - 1387. Solve -g*t = -23*t - 72 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131124 - -388444\/3. Is -1644 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58225440 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.2 (c) 4\/3 (d) -265\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -779*b - 175. Let y = -343 + 337. Is j(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98.8 - -99. Which is the closest to -1? (a) 1\/3 (b) 11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 15}. Give prob of sequence wdww.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 + 409. Suppose 2*x - 6*x - 64 = 4*i, 0 = v*i. Is -4 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*i + i**2 + 162*i - 2)*(2 - 2 - i**3).\nAnswer: -i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 7*i + 312 = 0. Suppose 0*u - 3*u = -i. Let w = u + 26. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, -2, -4557, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3107\/1673 + ((-6)\/14)\/(-3). Let b(r) be the second derivative of -26*r + 0 - 3\/2*r**3 + 0*r**v - 1\/6*r**4. Let j(z) = 2*z. Determine j(b(u)).\nAnswer: -4*u**2 - 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 - 19*f**2 + 2*f - 9. Let p be y(5). Suppose 939 = 4*s - o, -4*o - 782 = -3*s - 68. Calculate the greatest common divisor of s and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347500 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 228 + ((-171)\/(-114) - 9\/(-2)). What is the greatest common divisor of 377 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 7*b + 2. Let x be q(7). Suppose -x*u - 2*u - 5*m = -36, u + 2*m = 12. Suppose 0 = -r + 3*w - 35 + 92, w = u. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Suppose 2*r + 8 = 2, -s + k*r = -16. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*u + 17, -3*u - 7 = 3*t - 5*t. Suppose 22*n - 27*n = -15. What is the remainder when (n - 2) + (-6)\/3 - -23 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039485 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148988195\/248 - 600760. Let q = -3\/124 - j. Find the common denominator of (-68)\/144 + (-1)\/(-4) and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 28) + 2 + -1 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160032523681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -795, -1210, -1641, -2094, -2575, -3090, -3645?\nAnswer: -4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v + 31. Let h(w) = -59 - 25 - 10*w + 7 + 193 - 22. Calculate -2*h(u) + 7*y(u).\nAnswer: -u + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2628681993.\nAnswer: 3, 7, 41725111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*r - 2244, 6*l = 2*l + 3*r + 1820. Let z be -1*1\/(1\/(-7)). Suppose 179 = -z*t + l. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 4*w**2 - 15*w**2 + 6*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/7 (b) -2 (c) 4\/153243 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4344 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 74021?\nAnswer: -1554441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 9516*u**2 - 5654880*u - 5664400.\nAnswer: -4*(u - 1190)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134993824?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*o - 21. Suppose o*s = 24 - 8. Solve -4*p = -2*q - 10, 2*p - 2*q - 2 = s*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*f + 53, 4*m - 8*m = 16. Solve -j - 2*j + f = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441395757 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)\/sqrt(8) - -4*sqrt(108))**2*-5.\nAnswer: -18375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = c - 1. Let p = c + -46. Solve 5*r + p = 3*n, 2*r + 11 = -0*r + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5966 - 11?\nAnswer: -5977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1141011 - 20?\nAnswer: 1140441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1905, 3845, 5785, 7725, 9665, 11605?\n\"Answer: 1940*n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422354 is divided by 149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**2*w**5 - q**2*w**2 + q + 148*w**6 - 11*w**2 - 1098*w wrt w?\nAnswer: -180*q**2*w**2 + 17760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3895513945?\nAnswer: 5, 101, 653, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -16*h**2 - 7*h + 6. Let b(p) = 5*p**2 + 2*p - 2. Let g(m) = 7*b(m) + 2*v(m). Is 10 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-355)\/(-50) - 1) + 24\/(-4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -28, -4, 62 in descending order.\nAnswer: 62, -1, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 - 43802*r**3\/5 - 144338868*r**2\/5 - 149277334072*r\/5 - 50740477269008\/5.\nAnswer: 2*(r - 24919)*(r + 1006)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -13.5529, -0.5, 4, 3\/4, -0.3 in descending order.\nAnswer: 4, 3\/4, -0.3, -0.5, -13.5529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 5850*g - 8 - 11 - 12 as l*g + s and give l.\nAnswer: -5850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.6, -4, 0.08 in decreasing order.\nAnswer: 5, 0.08, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 11440*b + 6543680.\nAnswer: 5*(b - 1144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -905 by 3319.\nAnswer: -905\/3319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 7 + 5. Sort z, -3, 5, -2 in decreasing order.\nAnswer: 5, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, -37, -8472 in increasing order.\nAnswer: -8472, -37, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 35*z + 4*i + 36 = 0, 2*z = 3*i + 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, u: 14}. Give prob of picking 1 u and 1 l.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 39\/(-13) + -19*1. Let a be (p\/10)\/((-1)\/5). Let f = a + -17. Which is greater: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25430437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3585*z. Let s(n) = 75*n + 72*n + 78*n - 228*n. Calculate l(s(x)).\nAnswer: -10755*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/28)\/((-38)\/152)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*r**3 - 44*r**3 - r - 16*r**4)*((-3*r + 3*r - 2*r)*(0 + 1 + 1) + r - 2 + 2 - r + 3 - 3).\nAnswer: 64*r**5 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 + -3?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5 - 4*(-452)\/(-20). Let p = c + 155. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*i + 3135*i**2 - 3167*i**2 - 22*i wrt i.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -39. Suppose -2 = 2*q - v. Suppose 9*x - 247 + 247 - q*x**2 - 6*x**2 = 0. Calculate x.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1943 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10232*j + 20162*j**2 - 10232*j.\nAnswer: 20162*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31134902 divided by -5\nAnswer: -31134902\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {j: 5, w: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/42 and 91\/228.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*k = -28, 280*k = f + 275*k - 2. Solve 8 = -f*g + 10*g, -3*i + 3*g + 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -744, -686, -522, -198, 340, 1146?\n\"Answer: 9*k**3 - k**2 - 2*k - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*h**2 - 187 + 62 + 57 + 68.\nAnswer: -844*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(378))\/(sqrt(48)\/(sqrt(24)\/sqrt(3)))*4.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56525 and 1105?\nAnswer: 734825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -h - 0*h - 3*s, -4*s + 170 = h. Let r = 257940 + -257928. Calculate the remainder when h is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2 - 4*x**2 + x**2 - x**2 - 2*x - 4 - x**3. Suppose -9 + 29 = -5*r. Let n be s(r). Solve -12 = -2*p - n*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3*(-4)\/(-216))*(-22)\/(-33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/13 + 50*a**2\/13 + 336*a\/13 + 288\/13 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130021 (base 4) to base 6.\nAnswer: 114133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -421, -942, -1671, -2608?\nAnswer: -3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 48 = 2*d, -4*d - 48 + 18 = 3*b. Let q be (-4)\/b + 598\/(-819). Let x = -0.37 - -0.07. Sort 5, x, q.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108529 - 108627.798. Let i = u - 0.202. Let b = 99.061 + i. Round b to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 85, 204, 369, 580, 837?\n\"Answer: 23*a**2 + 4*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-8))\/((-447)\/(-151384))?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -l + 25, 0 = -5*k + 5*l - 10 + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -3*l**5\/5 - l**3\/3 - l**2\/2 - l. Let y(t) = t + 5. Let j be y(-6). List the prime factors of b(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 306749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 21\/166?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.064 rounded to one decimal place?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 96*g**2. Let p(r) = -19*r. Calculate p(a(u)).\nAnswer: -1824*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690 divided by 2.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w**2 - 3*w**2)*(-14 - 2 + 0).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + (6*sqrt(77)*-1 - sqrt(77)))\/(-6*sqrt(14)\/sqrt(2)).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1664.361 microseconds?\nAnswer: 0.0000004623225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/60 - 1\/10. Let n = 73.7 + -74. What is the nearest to -1\/9 in r, 4, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.904l in millilitres?\nAnswer: 742904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 6*a. Let p(q) be the third derivative of -13\/60*q**5 + 3\/4*q**4 + 0 + 0*q + 0*q**3 + 5*q**2. Let l(r) = 7*k(r) + 2*p(r). Factor l(w).\nAnswer: 2*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + 2 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 16.1. Let q = 28.06 - 29. Let m = 0.06 - q. Sort j, m, 5 in ascending order.\nAnswer: j, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(2\/171)\/((-569)\/(-1707)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 - 110. Solve u*g + 7 = 2*q, 5*g + 0 + 3 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25301, -48843, -72345, -95801, -119205, -142551, -165833, -189045?\nAnswer: -212181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.889 - -4.789. What is the second smallest value in 17, g, -5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (10 + -45 + -31 + 14) - -15\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1429*f - 917*f + 686*f)*(4 + 2*f - 4) to d*f**2 + z + l*f and give d.\nAnswer: -3320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-280)\/(-15))\/7 + 30\/6. Suppose u = -2*u - 6. Suppose 26 = 3*i + 4*d, -5*i + 39 = 4*d + 9. Put i, v, u, 3 in increasing order.\nAnswer: v, u, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, -596, 0 in decreasing order.\nAnswer: 5, 0, -4, -5, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 302*n**2 + 3251*n + 60148. What is f(313)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 - u**3 - 170698*u**2 + 4064*u + 9 wrt u.\nAnswer: 20*u**3 - 6*u - 341396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 820, 3567, 8164, 14617, 22932, 33115?\n\"Answer: j**3 + 919*j**2 - 17*j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20200 and 5080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:55 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**22\/n*n*n*n*n**(-14\/3)*(n**(-9\/7)\/n)\/n*n**(4\/3) assuming n is positive.\nAnswer: n**(386\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -49, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -16*s - 9. What is the tens digit of g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1179.06 - 1221. Let l = d - -0.94. Let h = l - -47.4. What is h rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 10*q**4 - 3*q**3 - q**4 + 2*q**4 - 3*q**4 + (4*q**4 - 2*q**4 - q**4)*(-1 + 5 - 2) + q**2 + 2*q**4 - q**2.\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*v = -0*v + 7, 0 = 3*t - 4*v - 17. Let g be 2 + 0\/t + 0. Solve 3*d - 5*s = 4*d - 22, g*d = -4*s + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/7 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 25*m - 36. Give i(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(200)*6.\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/2))**(-25)*c**9*c**(-5\/6)*c)\/((c**(4\/5)*c*c)\/(((c**(-1\/4)*c*c)\/c)\/c)*(c*c\/((c*c**(-7))\/c))\/c*c**(-4\/7)) assuming c is positive.\nAnswer: c**(-16301\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.389 (b) 0.05 (c) 0.2 (d) 0.1 (e) -15\/7 (f) 6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 6*j**4 - 2*j**2 + j**3 + 12*j + 2 - 3*j**4 in the form f*j**3 + z*j**2 + p*j**4 + i + b*j and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.878806.\nAnswer: 0.439403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11747442413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18*6*(3 + (-52)\/16). Suppose -8597 = -r*c + 26098. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2 + 444597*w**3 - 3*w - w**2 + 5*w - 444598*w**3. Give f(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 8*j - 5*h - 25265, 0 = 5*j + 3*h - 63023. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = 14 - 238. What is the greatest common divisor of d and 6296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**3 - 8*a**2 + a. Suppose 13 = -h + 18. Let i(c) = -99028*c**3 + 3*c - 4*c + 99021*c**3 + 5*c**2. Determine h*t(k) + 8*i(k).\nAnswer: -k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-1 - 6) - 4. Let x = -6 + 6.4. Put 0.5, x, f in decreasing order.\nAnswer: f, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (88\/6)\/(52\/78). Let g(x) be the second derivative of -x**4\/12 + 4*x**3 + 9*x**2\/2 + 13*x. Does 12 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*n**4 - n**4 + 4*n**4 + 9*n**4 + 1 with respect to n.\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10765126 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12280 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 7. Let c be o*(3 - 1 - 3). What is the smallest value in c, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdbt when four letters picked without replacement from {d: 1, b: 1, t: 2, l: 1, a: 2, h: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7)\/(-14)*-14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20219194845 + -0.08523\nAnswer: -20219194845.08523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 333 = -30*k. Let h = 202 + k. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 1504.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 153*o**2 - 1979*o - 13. Calculate t(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 0 + 3)*(2*g - g + g + (-3*g + g + 4*g)*(-2 + 4 - 1) + 20 + 4*g - 20) as o*g + d and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448.716 rounded to 0 dps?\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 6, 112.036?\nAnswer: 112.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5774 - -5774.39995. Let d = 19 + -19.4. Let r = d + a. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -3420023?\nAnswer: -3420033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104992 = 2*s - 2*g, 3*s - 157504 = -2*g + g. Suppose 0*y - 5*y = -s. What is y rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/360 and 139\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {u: 2, m: 2, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((2 - 1) + (-4 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 + 2*j + 3. Let z be m(3). Which is greater: 1\/8 or z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19170.5 - -19170. Let i be ((-1)\/(-2))\/(4\/8). Which is the closest to i? (a) 3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) 1\/3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 328\/(-40) + (-1)\/(-5). What is the common denominator of (178\/k)\/((-1)\/(-2)) and (-7)\/(9\/2*-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130022203300 (base 4) in base 5?\nAnswer: -3342231110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1\/4, -0.203, 5 in descending order.\nAnswer: 5, 0.05, -0.203, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.02 = 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4728 divided by 33\nAnswer: 1576\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1.75, -0.4, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3211 - -3?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 22*b - 184860. Round b to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*h + 3*h, -3*y - 6 = -3*h. Let r be (y\/(-1))\/((-10)\/20). Differentiate -24 + 22 + 3*n**3 + r*n**4 - 3*n**3 wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13198 times -1?\nAnswer: 13198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 1, 0.5, 4, 1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 0*c. Suppose 0 = d + 2*p + c*p - 11, -d = -5*p + 7. Factor -v**2 - v**d + v + 0*v + 3 + 0*v - 2.\nAnswer: -(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 0 in decreasing order.\nAnswer: 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3564 is divided by 196?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12223, -5, -82 in ascending order.\nAnswer: -82, -5, 0, 12223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7401932.\nAnswer: 2, 31, 59693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -2\/3 (c) -544\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from kkbbbmhbkkthmb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25382706*d**2 + 2*d**3 - 11*d**3 + 25382729*d**2 - 5 to g + p*d**3 + x*d**2 + y*d and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*j + 421, 5*a = -0*j + 4*j - 831. Let u = -558 + 565. Calculate the remainder when j is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6 + 3838\/(-12) + -1. Let h = 218 + d. Let c = h - -13. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -9 - (-2 + -2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 - 8*n**3\/3 + n**2 - 8*n. Give m(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3246 is divided by 509?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.087um to meters.\nAnswer: 0.000167087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -a - 12, -3*r + 2 = 2*a - 0*a. What is the nearest to 2\/5 in -1\/2, r, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -4*y**3\/21 + 356*y**2\/7 - 4128*y\/7 + 9460. Factor i(t).\nAnswer: -4*(t - 172)*(t - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7353 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55989\/7 or 7997?\nAnswer: 7997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggggggggbggbgb.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/15 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1028897456 rounded to six dps?\nAnswer: -0.10289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.61 - 12.29. Let g = -7.4 - -17. Let n = z + g. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*l + 24 = 0, -4*l + 88 = -2*k + 7*k. Solve 0 = -0*s + 4*s + 4*a - k, -s + a = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (459*k**2 - 28*k**2 + 245*k**2)*(0*k**2 + 7*k**2 + 3*k**2).\nAnswer: 6760*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1\/((-380364)\/(-27168) - 14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*f + 3 - 15, -2*i - 3*f = -9. Suppose -4*a - 5*n = -3*a + 18, i*a = n + 10. Suppose -130 - 30 = -a*d. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n. Let u(l) = -13*l**3 + 4*l + 2. What is -u(g) - 4*x(g)?\nAnswer: 9*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 188*v - 311*v - 5894, 129 = -3*v - 3*x for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = 4*w - 12, -2*x = -4*w + 18. Suppose 0 = 4*v + w*n + 23, -4*v + 3*n + 4 = -n. Sort 5, 2, 0, v in increasing order.\nAnswer: v, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 15*m**2 - 56*m + 48. Determine d(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -82, -1\/5?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-63))\/(182\/(-39)). Which is the nearest to 0? (a) 0.1 (b) x (c) 4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 325 + 779 = -413 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*g = 33, 5*b = -3*g + 19 + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)*-3 - sqrt(26))\/(-3*sqrt(72)).\nAnswer: 13*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {l: 14, f: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68013646*f**5*v**2 + 2*f**2*v**2 + 2*f*v**2 + 8*f*v + f + 57157*v**2 - 2*v + 1 wrt f.\nAnswer: -1360272920*f**3*v**2 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265950 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 7*q**2 + q + 8. Is m(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21*y**2 - 32*y - 11. What is q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.3. Let h = 1 + -0.5. Let b = 0.5 + h. What is the closest to b in s, -2\/15, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 6*s + 19*s - 3*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 15015*j + 89982 = 0. What is j?\nAnswer: 6, 4999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -126, -0.4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1529 + 6115\/4. What is the second biggest value in 40, -3, x, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/7 (b) -0.06 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5539 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 63560 (c) -3 (d) 220 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15577 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0599 and -1743.8237508?\nAnswer: 1743.8836508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 114*c**4 + 213*c**3 + 120*c**2 + 12*c - 9. Let x(j) = -28*j**4 - 53*j**3 - 30*j**2 - 3*j + 2. Let h(l) = -2*a(l) - 9*x(l). Factor h(w).\nAnswer: 3*w*(w + 1)**2*(8*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -34*h + 36*h. Calculate the remainder when 7 is divided by (6\/(-6))\/(1\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let k(s) = -6*s + h*s - 10 + 3299*s**2 - s - 4*s. Let c be k(-10). What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, 1\/11, 281?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 4*u**4 - 4*u**3 + 41 + 3*u**4 + 0*u - 7*u - 10*u to p*u**3 + b*u**2 + f + o*u**4 + i*u and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 572.9371m?\nAnswer: 572937100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1054783, 2109544, 3164305, 4219066, 5273827, 6328588?\n\"Answer: 1054761*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/2 - 2797*p\/2 + 367941 = 0.\nAnswer: 294, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -26. Let r be 0*(-3)\/6 + q. Suppose -4*t + 85 = 5*s - 9*t, -s = -4*t - r. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5659 - -5671. Solve -5*b - 5*p = 0, -w = 4*p - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524815 (base 9) in base 3?\nAnswer: 120211220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7330 (base 11) to base 12\nAnswer: 5755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 4*b + 3. What are the prime factors of p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**2 + 2*n - 11. Let b(h) = -11*h**2 + 4*h - 23. Let u(s) = 3*b(s) - 7*y(s). List the prime factors of u(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/378 and -145\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 - -119. Are 1\/35 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -927 in -5, 0.2, -1, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(1573)*6 + sqrt(1573) + 4 + -1 + sqrt(1573)))**2.\nAnswer: 8448*sqrt(13) + 1610896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -14. Let h = i - -30. Let u = h - 3.3. Which is the nearest to 0.1? (a) 2\/9 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7))**(-14)*(k\/(((k**(3\/10)\/k)\/k)\/k*k))\/k**5 assuming k is positive.\nAnswer: k**(957\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.758972 and 6395.2.\nAnswer: 6396.958972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/2099?\nAnswer: -3\/2099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*o - 6. Suppose -8*c = -a - 10*c, o*c = 3*a - 16. Suppose 0 = -4*l + 5*x + 559, 4*l = -a*x + 510 + 22. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -1832, -3219, -4626?\nAnswer: -6053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16102571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-175) + 1582\/2100)*(-4)\/30?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**3 + 98*l**2 + 95*l**2 - 1 + 103*l**2 + 104*l**2 - 395*l**2 + l**4 in the form g*l**3 + a*l**2 + y*l**4 + h*l + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12328 and 938?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(392)*1 - sqrt(392)))\/(sqrt(56)\/(sqrt(128) + sqrt(8))))\/(sqrt(128) + (-1*sqrt(128) - sqrt(128)) - sqrt(128) - sqrt(32)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*n - 87910. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 4*g - 5*g + (4*g - 7*g + 2*g)*(215 - 286 - 199) to r*g + k and give r.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(-8\/11)\/((m\/(m*m**(1\/3)\/m)*m)\/m)**(-2\/13) assuming m is positive.\nAnswer: m**(932\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22442\/280525 + (-2)\/50*((2 - -2) + -77).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 7*x - 6. Suppose 0 = -11*i + 203 + 28. Suppose -3*a - 4*y = -56, -x*a + y + i = -2*y. Solve -l = 3*l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28206135 and 112824540.\nAnswer: 112824540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-21) + -2 + -2)\/(1768\/(-476))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/24 + 0)*(3 - -1). Let u = -4.57 + 5. Let h = u + -0.03. What is the second smallest value in h, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 3*j**2 + 2. Let d(z) = 2*z**3 - 10*z**2 + z - 7. Let w be (-250)\/65 - -2 - 2\/13. What is w*d(g) - 7*o(g)?\nAnswer: 3*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - (-26)\/8. Suppose -4*i = -0*v + 2*v, -c*i = -3. Let r = 17.3 + -17. What is the second smallest value in 0, v, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/((-6440)\/60)*(-182)\/(-1794)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -304*i**2 - 3*i - 20. Let w(u) = 3*u**2 + u + 3. What is q(y) + 5*w(y)?\nAnswer: -289*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 3*f**2 + 1068*f + 5284. What is b(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*k = 217*k + 44 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6021\/(-1338))\/((-27)\/6)*(-1)\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3 - 23*b**3 + b**4 + 22*b - 7*b**3 + 22*b**2 + 1 - 19*b**4 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 27985715, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4928684\/2576 - 0)\/(-5). Let c = t + -13345\/161. Let q = c + 1877\/4. Calculate the common denominator of 73\/12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305549700 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 54979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -38312\nAnswer: 191560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d + 13 + 3\/2*d**2. Let o(g) = 3*g. What is u(o(r))?\nAnswer: 9*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 12*z + 0*z + (2*z - 2*z + z)*(-1 - 5 + 4) + 0*z - 4*z + 2*z)*(2*z + 0 + 0)*(-5 + 2 - 2) - z**2 + z**2 - 2*z**2.\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 0*b + 2*b)*(-b + 0 + 0) + 175*b**2 - 1081*b**2 + 2251*b**2 + (-6*b + b + 4*b)*(-b + 3*b - 4*b) in the form q*b**2 + z*b + j and give q.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3993 + 87. What is the smallest common multiple of j and 952?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -26\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3312, 3494, 3744, 4062, 4448, 4902?\n\"Answer: 34*c**2 + 80*c + 3198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - 6 - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 2*v**2 - 2*v + 7*v - v**2 + v**3 + 2*v**3 to the form f*v**4 + h*v**3 + l*v + c*v**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k - 3. Suppose -3*d = -62 + 71. Give w(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a**3\/7 + 802*a**2\/7 - 2053*a\/7 - 708\/7 = 0 for a.\nAnswer: -4\/13, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62615.\nAnswer: 5, 7, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3389*j*k**4 + 4497*j*k**3 - 2544*j*k**2 - j*k - 3*k**4 + 385*k**2 + 10*k wrt k.\nAnswer: -81336*j*k + 26982*j - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Find the third derivative of 6*y**4 - y**6 - t*y**6 - 7*y**2 - 6*y**4 wrt y.\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7*y - 29 = 2*y, 4*y = k + 5. Suppose -31 = -c - k. What is the highest common divisor of c and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*y - 4. Suppose 0 = 4*f - k - 930, -8*k + 7*k = y. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 34\/3*q**3 + q - 96 + 3\/2*q**2. What is the second derivative of r(x) wrt x?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(2\/5))\/a)**(7\/6)\/(a**(3\/11)*a**(-9)) assuming a is positive.\nAnswer: a**(3419\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 2535 = 7*p - 2657. What is the highest common divisor of p and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69748 - 69748 + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.137 * -0.435\nAnswer: 0.059595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-3*p**5 + 0*p**5 + p**5) + (-1 + 2 + 1)*(6*p**3 - 6*p**3 + 3*p**5).\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*j + 2, -4*j - 21*n + 4 = -23*n. Solve -9*v = m - 11*v + 1, m + 5*v - 6 = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/19250 and 1\/11935000?\nAnswer: 11935000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {j: 1, q: 1, g: 1, r: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3077.4 - -3077. Which is the closest to -0.02? (a) 5 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/80 + 78\/(-390))*20?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8224*x + 206721 + 86624 = 21953 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177962?\nAnswer: 2, 101, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/19 (b) -1\/4 (c) -8 (d) -0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 36*b + 2126. Let z be n(-59). Suppose -2\/5 + 1\/5*o**4 - o - 2\/5*o**5 + 7\/5*o**3 + 1\/5*o**z = 0. What is o?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102858 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 480 + -476. What is the second biggest value in -420, l, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1026\/(-3192))\/(((-288)\/(-56))\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.09 + 580.39. Let a = f - 481. Round a to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrfrzrfnrfsr. What is prob of sequence zf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12 - 3) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 less than or equal to -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1.6, 3, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -3, 1, 4 in ascending order.\nAnswer: -3, -2, -0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -768?\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5728631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 24 = 3*y, -2*y = -10*y - 2*n + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 30. Let w = -199 - -364. What is the greatest common divisor of w and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30*((-15748)\/(-3175))\/(-31)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r - 100. Suppose -3*h - 4 + 37 = 4*o, 0 = -3*h - 15. Calculate the remainder when 166 is divided by m(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82888 and 6376?\nAnswer: 82888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 2, m: 1, n: 1, w: 8, c: 1}. What is prob of picking 2 e and 1 n?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1568\/8745 - 2\/795. Let n = -2 + 2.1. Put s, -4, n in decreasing order.\nAnswer: n, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 112*q**2 - 17 + q + 61*q**2 + 59*q**2 to the form s*q + w + g*q**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)*(-4)\/4. Suppose 0 = -5*b - 4*d - d + 95, m = 2*b - 5*d - 52. What is the remainder when 82 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 3*c + 4*r, -3*c - r = -4*r - 198. What is the derivative of -33*g + 75*g + 29 - c*g - 5 wrt g?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 0 (c) 0.155 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1*(-30)\/(-4). Let q(l) = 153*l + 752. Let t be q(-5). Let h = t + m. Solve h + 4 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 3:12 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmiimiivmmmimi. Give prob of sequence mii.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 310?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116 + 169*i - 339*i + 168*i)*(-56*i**2 - 10*i**3 + 56*i**2) + 3*i**4 - 3*i**4 - i**4 to z*i + h*i**2 + u + f*i**3 + j*i**4 and give f.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*z + 18 - 22, 3*z = -f - 1. Solve -3*h + 11 = 2*b, 2*h - 4*b = -3 + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001316845 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 555 - 551 = 3*p, 3 = -864*m + 859*m + p - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 3, w: 7, f: 7}. What is prob of picking 2 w and 1 o?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 11*x**2 + x - 8. Let v be b(11). Suppose -11 = -v*h + 4. Find w, given that -16*w**4 - 4*w**h + 12*w**3 + 10*w**5 - 5*w + 3*w = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -84*c - 95. What is the hundreds digit of d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h - 5*h - 4 - h + 4 + 4*h - 4*h + h + (4*h - 4*h + h)*(1 - 2 + 2))*(-h**3 - 3*h**3 + 3*h**3 + (4 - 2*h - 4)*(4*h**2 - h**2 - 2*h**2)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 52*g. Let q(h) = 3*h**2 + 17. Determine q(u(s)).\nAnswer: 8112*s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 39. Let s be u(9). Let x = 9 + -5. Suppose -s*m = -5*d - m + 150, -m = -x*d + 117. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.1175ml to litres.\nAnswer: 0.0211175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/2 + 2*m**4 - 9*m**3\/2 - 32*m**2 - 50*m - 24 = 0. What is m?\nAnswer: -3, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2\/11, 0.05, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205 - -1637\/8. Let c = -31.5 - -31. Let d = -2.5 + c. What is the nearest to 0 in d, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 42. Suppose -4*q = 65*q - 18*q. Suppose q*b = 37*b. What is f(b)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -233*f + 343*f. Suppose -j + 3*m = -9, -3*m = 2*j - 7 - 2. Suppose -j*x + 3*x = -24. Solve -x*h + 2*v + 30 = -f*h, 0 = -4*h + v + 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1499044 or 19487582\/13?\nAnswer: 19487582\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68267 - -162816769\/2385. What is the common denominator of 37\/3 and d?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 39, 92, 161, 252?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 562632?\nAnswer: 12940536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - m = 2, 74*w - 76*w + 3*m = -6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 5*o**4\/24 + 7*o**3\/3 + 35*o**2 - 2. Let n(z) = z. Give y(n(j)).\nAnswer: 5*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1323*s**2 + 46 - 45 - 1)*(0 - 2 + 0)*(s - 2*s + 5*s).\nAnswer: -10584*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.942 - 0.942. Which is the third smallest value? (a) t (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5555 and 112720949?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) + sqrt(209)*-2 + sqrt(209)))*6)\/sqrt(11))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q + 2. Let r be j(3). Suppose -3*w + 110 = 5*k, k - r*w - 17 = -23. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(108))*1 - (-1*(0 + sqrt(108)) + -5))**2.\nAnswer: 144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3*n - 17889*l**3 - 21*l**2 + 96187*l*n + 2*n wrt n?\nAnswer: l**3 + 96187*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5764556 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -61, -84, -95, -88, -57?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71\/20 + -15\/4. What is the closest to 1 in -1\/4, 0.35, m?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4989 + -9695. Suppose 228 + 45 = -3*r. What are the prime factors of z\/r - 4\/(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3219 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 306\/15*1*((-1)\/(-27))\/((-423)\/(-3807))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117564.\nAnswer: 2, 3, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**3 - 4*z - 60. Let d(j) = -7*j**3 - 3*j - 69. Let t(v) = 4*d(v) - 3*p(v). What is the derivative of t(s) wrt s?\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 578?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2\/p)\/p)\/p**0)\/((p**(2\/47)\/p)\/(p\/(p\/p**8))) assuming p is positive.\nAnswer: p**(421\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -831a + a46?\nAnswer: -7384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120908, 119359, 117806, 116249, 114688, 113123?\n\"Answer: -2*m**2 - 1543*m + 122453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1625820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 423?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5)*(6 - 1). Let o = 35.86 - 1.66. Let z = o + -29.2. What is the nearest to z in -1, f, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/56 - 38\/(-8). Suppose p*j + 3*o - 455 = 0, -j = -6*j + 2*o + 430. Let v = 39 - 28. What is the greatest common factor of v and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*i + 6*x + 20, -4*i + 70 = 5*x. Suppose 5*l = 130 + i. Suppose 5*f - l = -3*t, 5*f - 2*t - 11 = t. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i - 69*i + 6 + 12 - 16 to u + p*i and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0523 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 10*r - 12 = 2*z, 0 = 4*z + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*o + 45 = 6*b, 2*b = 5*o + 30. Suppose 9*j = 4*j + b. Solve 0*f + 3*c = -3*f + j, 2*c = -4*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340 times 52918.4\nAnswer: -17992256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3*l - 3. Let w be q(2). Suppose 0 = -132*x + 30*x - 204. What is the tens digit of x + 2 - w - (2 + -127)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from nnhheelnehhnhhheeh?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.09, 6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 532690*w**3 - 2768*w**2 - 91*w wrt w.\nAnswer: 3196140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) - 4\/6. Suppose 4*j - 13 + 1 = l. Solve -5*r = 4*o - 32, r + j*o - 25 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -321 - -323. Find the third derivative of 12190*l**3 - l**m - 29*l + 16*l**5 + 43*l**5 - 12190*l**3 wrt l.\nAnswer: 3540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 8:17 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 0.3. Suppose -14*c + 25 = -17. Suppose -2*i + 8 = 0, -c*a + 4*a + 4*i = 13. Sort a, n, -8 in increasing order.\nAnswer: -8, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - s + 308 = -3*s, -4*x - 3*s = -298. Let j = x + -46. Suppose -2*z + 18 = z. What is the greatest common factor of z and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foyy when four letters picked without replacement from {y: 3, t: 2, o: 6, l: 1, f: 1}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**10))\/h)\/(h\/(h\/(h**(1\/4)*h))*h)*(h\/(h\/((h*h\/h**(-1)*h)\/h))*h)**(-2\/11) assuming h is positive.\nAnswer: h**(-615\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 + 2*j**2 - 39*j**3 - 74*j**3.\nAnswer: -121*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 5.2\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**2 - 60*h**2 + 94*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = z + 4832, -z + 4965 = 3*k - 2283. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6911194, -13822391, -20733586, -27644779, -34555970, -41467159?\n\"Answer: s**2 - 6911200*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 5*c**2 + 10. Let k(q) = -11*q**3 + 9*q**2 + q + 21. Let o(b) = -4*k(b) + 9*r(b). Let i = 1 + 6. Is o(i) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -12. Calculate the remainder when ((-24)\/2)\/(-4)*205\/u is divided by 340\/16 - 1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 13. Let x be i(13). Suppose 0 = 5*u - x*u - 270. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {z: 1, p: 3, i: 2, h: 3, y: 1, t: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633 (base 11) to base 13.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0773365 + 0.077. Round f to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-4*f + f**2 + 4*f) + 2 - 8*f**2 - 2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3660 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 + 2294397.\nAnswer: 2294397.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -13245?\nAnswer: 13325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/q**(2\/7))*q)\/(q**(-8)*q*q)*((q*((q\/q**2)\/q)\/q*q)\/q*q)**(2\/101))**(11\/7) assuming q is positive.\nAnswer: q**(64284\/4949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/r**4*r**(-1\/9)\/(r**(-4)*r))**24)**39 assuming r is positive.\nAnswer: r**(-3848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4 and (-6)\/33 - 855\/(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -8 + 17. Let u = -46 + 45.57. Let g = -0.03 - u. Put 2\/3, z, g in descending order.\nAnswer: z, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.93 and -56.\nAnswer: 52.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 39243?\nAnswer: 3923e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n - n + n)*(14 - 4 + 8) + (2 - 2 + 1)*(5 - 5 - n) to the form q*n + g and give q.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(10*16\/(-4)*(-815)\/(-2608))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56723, -226879, -510471, -907499, -1417963, -2041863, -2779199?\n\"Answer: -56718*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52\/3 - 431\/24. What is the common denominator of p and (-77)\/21 - (3 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 4792778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1*n**(-4)*n\/(n**(-4)*n)*n\/((((n\/n**(-6)*n)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-10)*h)*(((h\/((h\/(h\/(h**(5\/3)\/h*h)))\/h)*h*h)\/h)\/h)\/h*(h*h**(3\/2)*h)\/h*h\/(h**11*h) assuming h is positive.\nAnswer: h**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*o**4 + 0 - 2\/3*o**3 - 8\/3*o**2 + 2\/3*o = 0 for o.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000062202 to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 a factor of 109934503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -14 + -21 + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 19. Suppose 5*i = y - 13. Let x = 13 - i. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/99923?\nAnswer: -3\/99923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 4, c: 1, y: 1, f: 4}. What is prob of picking 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*b + 4*b - 304 = 0, 0 = -3*x - 2*b - 176. Let a be x\/48 - (-2)\/8. Let u = a + 5. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 30*d + 507. Give t(-12).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -735*h - 562*h - 3*h**3 - 165*h**2 - 1050*h + 526*h - 363*h + 2352.\nAnswer: -3*(h - 1)*(h + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v - 38*v - 20 = 0. Find the common denominator of (10\/(-25) - (-224)\/v)\/(-22) and -4\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - p**2 + 0*p**2 + (-46 + 46 - 31*p)*(0*p + 4*p + p).\nAnswer: -157*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 463600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6970935 micrograms?\nAnswer: 0.0000000000006970935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 87328?\nAnswer: 960608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) 2\/11609 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 148 = 5. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233074536, 233074537, 233074538?\nAnswer: 233074539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/(-70) + (-72)\/40)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 42 = 2*v - 15, -2*v + o + 51 = 0. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736719061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 28438590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 20*l**2 + l + 1. List the prime factors of o(1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000120210220 (base 3) to base 12.\nAnswer: -222273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -98*g - 5076. Let p be q(-52). Let v = 522 + -222. What is the highest common factor of p and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.40273966 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 236 - 204. What is the remainder when a is divided by 2\/(-8) - (-138)\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81464516*m**2 + 183842989*m?\nAnswer: -162929032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 2. Let j = l + 9.07. Let g = j - 0.57. What is the second smallest value in g, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 2\/(-4)) + 2\/(-4). Suppose 2*v - 79 - 5 = q. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 23*q + 7 + q.\nAnswer: -22*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6986.\nAnswer: -6986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/607, 3\/7, 5 in decreasing order.\nAnswer: 5, 3\/7, 2\/607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k + 1. Let h(v) = -5*v**2 - 7*v + 6. Let l be (-125)\/(-35) + 15\/35. Calculate l*x(t) - h(t).\nAnswer: t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -882 in 272, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 1 + d**3 - 15*d + 7 + 4*d - 3. Let s be n(4). Let x(t) = 8*t + 7. Let j(l) = 9*l + 8. Calculate s*x(k) + 6*j(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 7807.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = c - 3*w, 0 = c - 4*c - 2*w + 15. What is the remainder when 110 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110108 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.271017 meters?\nAnswer: 5271017000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.65 - 54.7. Let n = 235 - 265. Let a = l - n. Is 5 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21576 by 5394.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -50 - 5. Let u be (-231)\/(-3) - (4 + -4). Calculate the highest common factor of n and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -37909, 3, 6 in decreasing order.\nAnswer: 6, 3, -37909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o\/o**3)*o**(2\/5)*((((o*o\/(o*((o\/(o*o**2*o*o)*o)\/o)\/o))\/o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2670 + 2670 - 7*p**2 + 4*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 - 4*b + 5. Let p be k(5). Let i(t) = -16*t - 9. Let c be i(p). Calculate the highest common divisor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022042092 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -99*a + 100*a - u, 30*a = -2*u + 212 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/10*40\/((-7560)\/351)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.68814 millilitres in litres?\nAnswer: 0.06168814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a + 0*a**2 + 0*a**6 + 0*a**5 + 1\/4*a**4 - 1\/56*a**8 + 0*a**7 + 0 + 0*a**3. What is the third derivative of o(u) wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*i = 0, -2*x - 2*i = -6*x + 8. Let m = -66\/5 - -15. Which is bigger: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/7 - 58871*j**2\/7 - 869238264*j\/7 - 82047181680\/7 = 0.\nAnswer: -29388, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118663865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 13*c - 12. Let g be j(12). Suppose -2*u + 4 + 6 = g. What is the third derivative of 4*t**5 + t**2 - 9*t**5 + 4*t**u wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110529?\nAnswer: 3, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*d = -0*t - 4, -3*t = -d + 5. Let l be t + (-111)\/(-30) + -2. Let m = -59\/5 - l. Find the common denominator of 23\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175686, 175686, 175688, 175692, 175698?\nAnswer: 175706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 208\/(-96)*2 + 1*5. Let g be (4664\/(-288))\/(1\/4). Let x = -65 - g. What is the third biggest value in x, 3\/4, j, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.97 and -6.524858694?\nAnswer: 5.554858694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**5\/5 - 3*i**4\/4 - 2*i + 3. Let b(v) = -3*v**4 - 5*v**3 - 3. Let n(g) = -3*b(g) + 5*s(g). Differentiate n(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 12*w = 2*y + 16, 3*y = -3*w + 12. Solve -9*m = -45 - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2021167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29714 is divided by 29674.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let w(l) = -y + 137*l**2 + 2 - 139*l**2. Let i(c) = 12*c. Calculate w(i(q)).\nAnswer: -288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.028? (a) -506 (b) -3 (c) -2\/3 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2052521 and 6.\nAnswer: 12315126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30011, 60020, 90029, 120038?\nAnswer: 150047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159927?\nAnswer: 3, 53309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*i + 12 - 21 + 9 + (2 - 1 - 4)*(i + 0 + 0).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 > 691542\/1687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/4)\/((-11)\/(-396)). Suppose -a = -3*x + 45. Suppose -123 = -2*f + 3*g + 47, 0 = -f - g + x. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2041 - -11?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*f - 133*f + 248*f + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*(1\/5)\/((-9)\/(-25)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 46*w - 43*w - 45, -5*s = 4*w + 111 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)*(t**(2\/11)*t)\/t*t*(t\/(t\/(t*t**(-2\/7))))**(-33))**(2\/9))**(2\/41) assuming t is positive.\nAnswer: t**(-2350\/9471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 38. Let q be h(8). What is the second biggest value in 0.5, 1\/12, q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1162034)\/3836 + 358 - 2\/28.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/60*16\/18. Let n be (-2*3\/16)\/3. Put 0.4, n, i in increasing order.\nAnswer: n, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(9) + sqrt(27)\/sqrt(3)*5))**2 + (-1 + (sqrt(231)\/(sqrt(28)\/sqrt(4)))\/sqrt(11))**2.\nAnswer: -2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.417*647.\nAnswer: 916.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssllddddtdl. Give prob of sequence ts.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 1, o: 11, e: 2, u: 3, n: 1}. Give prob of sequence uhn.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-51) + (4 - 10\/(-6)). Solve -4*j - 4*i = 0, q*i - 5*i = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1851, -3829, -5949, -8229, -10687, -13341, -16209?\n\"Answer: -3*v**3 - 53*v**2 - 1798*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31857, 31834, 31803, 31770, 31741, 31722, 31719?\nAnswer: 31738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2041869 + 4?\nAnswer: -2041865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 284587697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2595, -10871, -24831, -44475, -69803, -100815?\n\"Answer: -2842*g**2 + 250*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -41*j + 362. Calculate the least common multiple of 1144 and 14 + ((-64)\/j - 0).\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 37, 0.18 in decreasing order.\nAnswer: 37, 0.18, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/800 and 23\/3600.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 719645*c**5 - 2*c**2 - 161138.\nAnswer: 43178700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*a + 161*a + 2 - 128*a.\nAnswer: 189*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 10. Suppose w*a - 117 = -3*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 2*m**2 + 9*m - 6*m in the form s + l*m**2 + v*m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 36.49132 millennia?\nAnswer: 36491.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 less than 56884\/1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvyy when four letters picked without replacement from yyyvyyyvvvvvvyyy?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -234 - -209.9. Let v = 28.1 + m. Which is the closest to 0.5? (a) 3 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 187. Let w be (0 - (-1 + -1)) + -3. Calculate the smallest common multiple of j and 7 + (-2)\/2*w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4\/5 - 108*c**3\/5 + 45*c**2 - 114*c\/5 = 0. What is c?\nAnswer: -38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1235 or -1240?\nAnswer: -1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 1189395\nAnswer: 13\/396465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103.21 - -102.81. Which is the biggest value? (a) 1 (b) 30 (c) 4 (d) 0.5 (e) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*m**4 - 5996 - 3*m**2 + 5997 + 4*m**2)*(5 - 3 - 4) to the form r + h*m**2 + g*m + q*m**4 + b*m**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-893)\/(-893)*((-2)\/6)\/(20\/4020).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, 1 in ascending order.\nAnswer: -3, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 116 (b) -1\/16 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2047972.00692 - 2048024. Let x = y + 52. Round x to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6179, -6083, -5963, -5819, -5651, -5459, -5243?\n\"Answer: 12*b**2 + 60*b - 6251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6*z + 9*z = 24, 0 = 5*t + 3773*z - 3769*z - 32 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9979?\nAnswer: 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 20*d - 3*d as v*d + p and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 11*o + 21. Let u be p(9). Suppose 19*m - 12432 = u*m. List the prime factors of m.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9855029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 25*r**2 - 24*r + 32. Calculate the least common multiple of 4 and k(24).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1)\/a))**(-1\/8)\/(a**(2\/15)*a*a*(a**(-5)\/a)\/a*a*a)*(a**(1\/4)*a\/a**(1\/3))**(-7) assuming a is positive.\nAnswer: a**(-157\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 5*t**2 - 7*t + 12. Let y(u) = 3*u**3 - 7*u**2 + 10*u - 18. Let b(j) = -8*q(j) - 5*y(j). Determine b(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4440*h - 2229*h - 2212*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470698 a multiple of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1325, 2654, 3987, 5324, 6665, 8010, 9359?\nAnswer: 10712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose -3*b + 51 = q - 5, 3*b - 12 = y. Suppose -h + q = h. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25822943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 912.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177654007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 191, 454, 817, 1274?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7673195*v**4 + 42038378*v?\nAnswer: -92078340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 - 7*s. Let g be (-4)\/((-12)\/15) - 1. What is the remainder when i(-7) is divided by 16 - ((-6)\/(-2) - g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3596*a + 113202 + 357003 = -5538*a - 1315*a for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 11072788 - 11072788.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -33. Suppose -4*c = -14 - d. Suppose -c*a - 13 = -7*a. Calculate the remainder when 23 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9232435001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1399 divided by -449.\nAnswer: -1399\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/2 + 96*i**2 + 191*i\/2 = 0?\nAnswer: -191, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 1:47 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5480252575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3822 divided by -1911\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 181022198?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(40\/4 + 1). Let y = -18 - h. Suppose 0 = -y*c + a + 59, 4*c - 2*a + 7*a = 65. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -7, 0.1, -0.01, 3\/14 in descending order.\nAnswer: 3, 3\/14, 0.1, -0.01, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 + 1121210?\nAnswer: 1121031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142*w**3 + 9*w**2 + 15*w + 3109939 wrt w.\nAnswer: -426*w**2 + 18*w + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 348021 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 43*x**2 - 21*x - 35. Let r be n(-18). Suppose 0 = 5*u - 0*u - r. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070462095?\nAnswer: 3, 5, 71, 961021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 2, -3 in ascending order.\nAnswer: -3, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times 6534?\nAnswer: -22869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 4*v - 3. Let d(l) = -l**2. Let m(c) = -2*d(c) + z(c). Let s be m(5). Is s - (-397 + 2) - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 309?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-3) + 8*1 + -2. Let k(j) = 4*j - 13. What is the remainder when 129\/(-3)*(-1)\/1 is divided by k(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.861 times 169?\nAnswer: 314.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 75*d**2 - 136*d + 4586. What is y(74)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 15 (b) 24 (c) -2 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4834.17 * -0.4\nAnswer: -1933.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 91) + 66 + 26.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -7*m**5\/15 + 2*m**3 + 8*m**2. Differentiate c(j) with respect to j.\nAnswer: -56*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1 + -2) + 1. Let o be (2\/(-4))\/(w\/8). Let t(a) = -a**2 - 6*a - a - 7*a - 1 + 10*a. Calculate t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = 5. Let x be (0\/l)\/3*(-1)\/2. Solve -4*t - 4*r - r + 35 = x, 5 = -2*t + 5*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57204645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Suppose 4*k - b*k - 5 = 0. Let d be 0\/(1 - (2 - 2)). Put 2, d, k in ascending order.\nAnswer: d, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = u + 3, -16*k - 8 = 2*u - 12*k. Sort u, -1.2, 0.\nAnswer: u, -1.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 1. Let p(i) = -i. Determine 3*p(z) - s(z).\nAnswer: -5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 13*a**2 - 25*a + 6. Is p(15) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + 0.6. Let o(g) = g**3 + 5*g**2 + 10*g + 24. Let k be o(-4). Which is the fourth smallest value? (a) k (b) -2 (c) i (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*f - 10 = 0, -5*r - 14*f + 15*f + 16 = 0. Sort 59, r, 1\/6 in ascending order.\nAnswer: 1\/6, r, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*y - y - 5 = 0, -9 = 5*f + 2*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111 + -5 - 18\/3. Let a = n + -85. Calculate the greatest common divisor of a and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -1121045?\nAnswer: -1121036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*q + 12 = -q, -48 = -4*l - q. Suppose 3*v - 4*m - 28 = 0, 0*m + 5*m + 23 = 3*v. Let x = v - l. Solve b + i = 0, -i + 5 = x*b - 2*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -12\/7 (b) 5 (c) 1262 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v**3 + 2*v. Let t be (16\/(-6))\/(168\/126). Let n(d) = -d. Give t*n(l) - b(l).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 5*o + 7 = 3*j, 2*j + 5*o = -12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 68*o - 128. Let a be x(32). Solve 12*k - 7*k - 25 = 0, 4*y + 3*k - 7 = a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 63. What is the greatest common divisor of 90 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 11*b - 22. Determine d(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151501 is divided by 669?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2023422, -2023425, -2023428?\n\"Answer: -3*f - 2023419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 2:35 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8469066.\nAnswer: 2, 3, 137, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let f = 30.9 + -30.9. What is the closest to 0 in -4, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-6 - (-22 + 3)) + -8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2)*(-29)\/((-203)\/(-28)). Suppose 2 = -z, 5*r - 3*r - 3*z = 8. Sort -1, r, t, -3.\nAnswer: t, -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 - 204. Suppose -4*z + d = -97, 7*d = 2*z + f*d - 44. Solve 2*h - z = 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 39773?\nAnswer: 39772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - b**2 + b - 3. Let q = -787 - -786. Let l(d) = -d + 1. What is q*l(o) - y(o)?\nAnswer: -2*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/((276\/40)\/(-69))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-100)\/(-6)*(-3 + 6). Let q = -690 - -650. Let o = f + q. What is the highest common divisor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -574, -576, -578, -580, -582?\n\"Answer: -2*r - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1016.5 - -1017. What is the closest to 2.3 in -4\/7, -2, f, -2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 0.7, -18, 8, 0.5 in decreasing order.\nAnswer: 8, 0.7, 0.5, -18, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 164*q**2 - 138*q + 1812. What is the tens digit of d(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -13 (c) -1 (d) 0.1 (e) 7\/291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -42798 divided by 15\nAnswer: -14266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1477, -2081, -3089, -4501?\n\"Answer: -202*b**2 + 2*b - 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - (-6)\/(-9). Let c = 6 + u. Find the second derivative of -s**c + 16 - 16 + s wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 27 - (-29 - -25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21816.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*(0 + 34 + 10 - -4). Solve -f = -4*a - 5, -18*f - l = -16*f + 5*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k + 45. Are k and -8 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1695028880 and 0.\nAnswer: 1695028880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 71*p**2\/2 + 910*p.\nAnswer: -p*(p - 91)*(p + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11738*r**2. Let z(d) = -2*d. Calculate p(z(b)).\nAnswer: -46952*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50 - 7c68d?\nAnswer: -7c63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7054 - -7053.6. What is the closest to -22 in u, 5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 33829110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77754 is divided by 1215.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1040, 849, 658, 467, 276, 85?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -3*c**4\/20 + 2*c**3\/5 - 3*c**2\/10 - 2. Factor q(o).\nAnswer: -3*o*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 230965885?\nAnswer: 230965885.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.659593 + -0.084.\nAnswer: 0.575593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.9636 less than 23.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -3 + (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2 - 3)*-2. Suppose -k + m = -3. Solve -5*d = -k*f + 4*f, -3*f - 5*d = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14460506 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + -6 - -4 - (10 - 29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -1\/2, -3 in ascending order.\nAnswer: -54, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/55)*n*n)\/n**(-29))\/(n**(-9))**(8\/3) assuming n is positive.\nAnswer: n**(3023\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32723 divided by -76\nAnswer: -32723\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1742*m - 26874. Determine h(15).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1894200 and 7175.\nAnswer: 1894200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164286115?\nAnswer: 5, 47, 4954409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 91*u + 183. What is the tens digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((sqrt(136) + (sqrt(136) - sqrt(136)*1) - sqrt(136))\/(1*sqrt(200)) - (-5 + -2 + 2 + sqrt(272))))*-4)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/2))**(1\/7)*w**8\/(w*w**3*w))\/((w**(1\/4)\/w)**(1\/7)\/(w*w**(2\/3)\/w)**(-3\/5)) assuming w is positive.\nAnswer: w**(409\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 3. Suppose 12 = -i + 32. Calculate the smallest common multiple of i and h(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 + 7*c - 10. Let y(i) = 3*i**2 + 2*i - 3. Let s(j) = 2*w(j) - 7*y(j). Suppose 0 = -2*q - 6, 2*x + 167*q = 169*q + 8. Calculate s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c - 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2))\/sqrt(6) + -4 + -5*sqrt(1250).\nAnswer: -124*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100101100?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-80))\/(222\/(-4144))*(-36)\/231?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 33. Sort -13, g, 3\/5 in decreasing order.\nAnswer: 3\/5, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.89, -2\/5497, 1, 24?\nAnswer: -2\/5497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -58*c + 5566042 - 5566042. Let q(a) = 2*a + 0*a - 4*a. What is q(h(f))?\nAnswer: 116*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r**2 - 4970*r - 1320 = 0 for r.\nAnswer: -66, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -12 + -1 - -17) + -4 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*o + 45, -4*o + 0*o - 15 = -k. What is the highest common factor of k and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 10:05 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -32.6. Let l = j - -2.4. Let h = -0.1 - -0.5. Which is the closest to l? (a) -0.2 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14339 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 - 2.14. Put -1, 0, 1\/5, n in ascending order.\nAnswer: n, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 - 1 - ((1 - -6) + -13))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17895 and 300.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - 3 - (-2 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*f + 2189 = 382 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**2 - 118*k**4 - 190*k**2 + 32*k**4 + 44*k**4 wrt k.\nAnswer: -1008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(35\/5 - 0). Suppose 4*d = 3*d + q*d. Solve 0 = -b - 3*u + 1, d = 3*b + 3*u + 2 + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 209 (c) -2\/13 (d) 3\/5 (e) -1\/8 (f) 4 (g) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, -0.4, -5, 1\/6, 20\/7.\nAnswer: -5, -0.4, 1\/6, 20\/7, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 + 31702*l + 16388120 = 0. Calculate l.\nAnswer: -15316, -535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 3*h**4 + 0*h**4 - h**2 + 2*h**4 + h**2 + (4*h**3 - 4*h**3 + 2*h**3)*(h + 3 - 3).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-16)*(33\/(-9) + 1). Solve i*h + 9 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366838207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 103*w + 30. Let v(c) = -51*c - 19. Let u(g) = 2*j(g) + 5*v(g). Let m(z) = 4*z + 3. Determine -35*m(d) - 3*u(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yghhghhhgmyghmgmghn. What is prob of sequence gm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**7\/(v**(2\/5)\/(v*v**(2\/3)*v))*(v**(1\/2)\/(v**2*v))**(-1\/5) assuming v is positive.\nAnswer: v**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 1790 = 4*h, -3*h + 2345 = 4*t. Calculate the smallest common multiple of t and 8.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 + 51. Let r = -100 - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 2:32 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-122)\/140 + (-1691)\/(-95) + -17)*-4. Suppose -4*p = x - 18, 2*p = -2*p + 2*x + 24. Which is the closest to g? (a) -2 (b) 0.6 (c) 3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110112 + -100102011212?\nAnswer: -100110122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -21. Suppose w = h*w. Suppose -2*p - 2*p + 8 = w. 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 is 402 minutes after 8:05 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 2\/5, 270, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241.834 - 243. Let m = 1.61 + t. Round m to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.267 rounded to 0 decimal places?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -261\/2*x**3 + 6*x**4 - 471*x**2 - 819\/2*x - 75 = 0. What is x?\nAnswer: -2, -1, -1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**5 + 963*r**4 - 40665*r**3 - 6531651*r**2 + 13328880*r + 19818900 = 0.\nAnswer: -61, -1, 3, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.2, 609, 0.4, -0.5, 4.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = u - 0 - 28, 5*u = 4*v + 35. Which is the nearest to -1? (a) v (b) 5 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d - 3. Let a be g(0). Let r be (-2 - (-1 + a)) + -3. Let w = r + 8. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 66*n - 12. Let r be b(-17). Calculate the highest common factor of 121 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 5150 = -4500 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + (-26 - -14) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -596781 divided by -157\nAnswer: 596781\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(0*f + 0*f - 4*f) + 4*f - 2*f + 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -12.6 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6 - (-2)\/(600\/(-486)))*5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*k = 374, -3*k - 370 = -3*f + 14. Suppose x = -4*x + 180. Calculate the highest common divisor of f and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**5 + 2442768*r**3 + 7*r**2 - 301*r + 51 wrt r?\nAnswer: -60*r**2 + 14656608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 3 - -7) + (26 - (6 + -17)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 + -206.78. Let t = 17.22 + -17. Let c = h - t. Put -2\/11, c, -4\/9, 2\/9 in descending order.\nAnswer: c, 2\/9, -2\/11, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j + 6. Let h(m) = -63*m - 49. Suppose -4*w + 68 - 117 = -5*s, 2*w + 3*s = 3. Give w*h(q) - 49*u(q).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/((q*q**3*q)\/q))\/(q**7*q\/q**(-5\/2)) assuming q is positive.\nAnswer: q**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -25240 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17832130 and 2991196?\nAnswer: 463635380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Suppose -3*h + 136 = 5*w, -p*h - h = -3*w - 168. Does 26 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x = -41*x + 42 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -1\/22, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/20 - 16*o**2. Let t(w) = -w. Let s(h) = -h. Let z(x) = -6*s(x) + 11*t(x). Give z(c(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/30 + 5*i**4\/12 - 13*i**3\/6 + 4*i**2 + 176. Calculate q(9).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8908 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18388, -0.4 in descending order.\nAnswer: 4, -0.4, -18388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 1483764.\nAnswer: 13353876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13654843 + 2?\nAnswer: 13654845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 631, 2667, 7507, 16555, 31215, 52891, 82987?\n\"Answer: 234*i**3 - 2*i**2 + 404*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1*(-3)\/(-6)). Suppose 0 = -x*n - 2*g + 88, g + 4*g + 10 = 0. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n**2 + 6*n. Let c(w) = 14*w**2 + 5*w. Let q(r) = 6*c(r) - 5*d(r). Let u(v) = -14*v**2. Determine -2*q(j) - 3*u(j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 53*p**3 - 3*p**2 - 4. Suppose -29 = 2*i - 33. Suppose -5*x = -3*s - 3, -x + i*s - 6 = -1. Let c be y(x). What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*j - 24. Let l(n) = -n + 3. Let r be l(3). Sort j, r, 2 in increasing order.\nAnswer: j, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332.562 + -0.438. Let g = z - -332.9999867. What is g rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*3*6 + -4)**2.\nAnswer: -1008*sqrt(2) + 31768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, s: 1, p: 11}. Give prob of sequence hppp.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/275338 and -27\/101857.\nAnswer: 4006443238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (626 + 69156 - 4365 + 15266)*(-2*p**2 + 2*p**2 + p**2) to the form f*p + c + k*p**2 and give k.\nAnswer: 80683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 64*f + 261. Let a(t) = 4*t**2 - 64*t + 260. Let z(p) = -5*a(p) + 4*u(p). Suppose z(h) = 0. Calculate h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 99a + -b79?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 6*i + 0*i - 7. Let t be 2\/(44\/(-10) + 4). Let m(x) be the third derivative of x**4\/8 - x**3 - x**2. Give t*f(o) + 6*m(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012313083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 71 = -3*m. Solve 4*t = -3*d + 2*d - 7, -4*t = -d + m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1212 - -12?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -6\/7 (c) 1\/4 (d) 0.097 (e) -0.33 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 57 = -3*d. Suppose 0 = -5*n - 2*c + d, -2*n = -3*c - 13 - 6. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 7:55 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3b908 (base 12) to base 10\nAnswer: 82520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + o - 4 = 0, 3*l - 4*l - 5*o = -20. Suppose -2 = -d - l*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 105. Calculate the lowest common multiple of z and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3 - 9*w - 1\/3*w**2.\nAnswer: -(w + 1)*(w + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1000 - 854 - (28 - 0)) + -23.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 24. Differentiate -17 + 10*o - 24*o + u*o with respect to o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + 20. Let g = m + -42. Suppose -4*i = g*i - 360. Calculate the remainder when i is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*t - 10858 = 0, t = 4*i + 2*t - 14471. Suppose -2*w = -11*w + i. Let s = 3125 - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:08 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwo when three letters picked without replacement from qwwowwqwqqqwqqqqq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 14 = 5*x, -13*x = -9*x + 5*z + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -911, -1832, -2763, -3710, -4679, -5676, -6707?\nAnswer: -7778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 27. What is z(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05126 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57564 + 178725. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 101 = 3*o, -n + 0*n + 2 = 0. Suppose 4*a = 5*j - 57, 4*j = 2*a + 24 + 18. Calculate the remainder when o is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -232 + 99 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 1 - 1\/20*w**5 - 1\/6*w**4 + 0*w**2 - 1\/6*w**3 + w. Let u(a) be the first derivative of n(a). Factor u(x).\nAnswer: -x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11094827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1126 = -4*m - 342, -4*a + 632 = 2*m. Solve 0 = 36*i - 56*i - a for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4089.4 - -4089. Which is the closest to 0.05? (a) 5 (b) z (c) -0.3 (d) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 21 = m - 12, 0 = 5*s + 25 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3*c**2 - 5*c**2 - 7)*(44*c**2 + 130*c**2 - 721*c**2).\nAnswer: 1094*c**4 - 1641*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 86115656 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.6 - -22.4. Which is the biggest value? (a) -5 (b) k (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/684*3)\/(1\/(-60)). Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 86*b - 308. Give q(-89).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 865158.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4, -4*n - 100 = -2*o + 100. Is 7\/(n\/4) + 15804\/21 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q - 1. Let v be w(-5). Suppose -j - v = -7. List the prime factors of (1 - -1 - j)*-13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 8*k**2 - 6*k - 44. Let g be a(-8). Suppose m - p - 663 = 2*p, -g*m = 4*p - 2652. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2640, -10382, -23282, -41340, -64556, -92930?\nAnswer: -126462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 252\/11232 - -1*3\/9 and -33\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 4, f: 5}. What is prob of picking 2 x and 2 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 30*o = 540. Solve 12 = -o*x + 63*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m**(-1))\/(m**6*m**(-5)) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 465.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.7 and -6.14452.\nAnswer: -13.84452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 - 1. Suppose -2*l = -4*l + 4. Let h(g) = g**2 + g + 0*g**l - g. Determine -6*h(q) + j(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/4873? (a) 0.13 (b) 0.2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110, -193, -244, -251, -202, -85, 112?\n\"Answer: 2*a**3 + 4*a**2 - 109*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5952 and 2310306?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4)\/(-2) - -1. Suppose v = -2*l - 7, -4*v + 0*l + 4*l - 16 = 0. Sort b, v, -4 in ascending order.\nAnswer: v, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1632955, 3266328, 4899701?\n\"Answer: 1633373*v - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 815 = -5*c - 10124, -3*z = 3*c - 16419. What are the prime factors of z?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f - 188 - 94 = -11*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -80 (b) 0.5 (c) -6750\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/10 (b) 2\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14205 + -14204. What is the second smallest value in -1\/2, u, -1\/4, -0.094?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.208 times -5?\nAnswer: 56.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 + -231. Let x = q - -1.2. What is the nearest to 1 in -2\/11, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, 0, 15 in increasing order.\nAnswer: -2, 0, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.68 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -23, -8, 2, -1 in increasing order.\nAnswer: -43, -23, -8, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from qoqooqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4379.2 + -4379. Which is the biggest value? (a) -0.3 (b) 4 (c) z (d) -6\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 2*h**2 + 3*h + 1. Let d(w) = -w**3 + 5*w**2 - 5*w - 1. Let z be 2*3 + (-6 - 2 - (7 + -14)). Determine z*f(q) + 2*d(q).\nAnswer: 3*q**3 + 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7.31. Let f = z + -0.69. Which is the nearest to f? (a) 0 (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17101\/(-2040) + -2 + -1. Let y = -811\/1360 - -29\/48. Let m = y + n. Find the common denominator of -31\/10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, u: 1, l: 2, i: 1, j: 1}. What is prob of sequence utr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.07, -28, -5 in ascending order.\nAnswer: -28, -5, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 49*s - 25. What is f(29)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*z - 101727 = 0, 5*j + z - 169541 = 5*z. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/2, -158\/5, 5, 0.9, -0.6 in descending order.\nAnswer: 5, 7\/2, 0.9, -0.6, -158\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/2520 - v**6\/90 + 3*v**5\/40 + 61*v**4\/24 - 6*v**2 + 12*v. Let z(q) be the second derivative of g(q). Determine z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/29757 and 73\/622608?\nAnswer: 8093904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5832, 5835, 5838?\nAnswer: 5841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/25 and 52\/31.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 11*d - 124. Solve 2*g + 10 = -d*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(2 + (sqrt(320)*-2 + 3)*-5))**2.\nAnswer: -6948504 + 449280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001101010010 - 11?\nAnswer: -1010001101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 5*x = -19*c - 52, -4*c - x + 60 = 0. Solve c*y = -2*j + 19*y + 4, -5*y - 2 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/(55 + (-7595)\/140)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Suppose u - 18 = 3*j, -5 = 3*j - 2. Let a(l) = u*l**2 - 33*l + 33*l. Calculate q(a(v)).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 3 - 3 + (-4 + 6 - 1)*(3*c - 3 + 3) + c + c - 4*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 17148512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + (-3 - 0) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 21\/13, -1\/7?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 1:24 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 27*o + 7 - 41 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 5. Let h = -7 + 4. Let c be a(h). Solve -5*w**3 + 2 - 3*w - c*w**2 + 4*w**3 + 2*w + 2*w**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = z - 138. Let v be (17\/5)\/(z\/130). Find the common denominator of -59\/32 and v\/12 - 6\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -498996*t**4 + 498994*t**4 + 4*t**2 + 2*t**2 + 4*t.\nAnswer: -2*t*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Let j(h) be the second derivative of 2*h**3\/3 - 7*h. Calculate j(o(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 23. Let w be 0*(7 + d - 2). Solve -3*o + 3 = -w*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.818 * -0.3.\nAnswer: 0.8454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 59*m - 213. What is z(6)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*z = 149*z - 395 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d = 4*c - 319, 4*d - 467 = 3*c. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125 + 78. What are the prime factors of b?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3 + 7. Suppose 4*u - 6 = h*u. Suppose -s + u = -0*s. Which is smaller: s or 7\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**4 + b**2 - b**4 - 6*b**2)*(8 - 4 + 0) to the form f*b + z*b**4 + c*b**3 + q + g*b**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*k**3*v + 5*k**2*v**2 + 22*k**2 + 2*v**2 - 21241 wrt k?\nAnswer: -129*k**2*v + 10*k*v**2 + 44*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37931 or -37925?\nAnswer: -37925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -641, -630, -605, -560, -489, -386?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 162 = 9*f, -43279*j + 3*f - 54 = -43274*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Which is the closest to m? (a) 4\/5 (b) 4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 490 = 0. Suppose 5*j - 7 = s. Let c = 30 - j. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2168457, -2168432, -2168351, -2168184, -2167901?\nAnswer: -2167472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:20 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323490011?\nAnswer: 13, 24883847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - 27*r**4 - 17*r**4 + (-1 + 1 - 2*r**3)*(2 - 2*r - 2) + 3*r**4 + 13*r**4 + 7*r**4 to j*r**3 + c*r**2 + q*r**4 + h + s*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/6 + f**2 + 3*f. Let c be q(-2). Does 10 divide 3\/c - 209\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*r - 22392 - 8203, -3*r + 45925 = -5*n. What is r rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 5566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10621 + 215*f**2 - 10621 + (-4 + 8*f + 4)*(-4*f + 0*f + 8*f) + 4*f**2 + 3*f - 3*f as k*f**2 + g*f + u and give k.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 1}. Give prob of sequence dc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331005 - -213?\nAnswer: -330352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0937 - -0.9063. Put z, 12, 2 in decreasing order.\nAnswer: 12, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 181*z + 364. Let x be b(-2). Solve -9*t - 7 = -x*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57062476.\nAnswer: 2, 14265619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35250 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blz when three letters picked without replacement from dybzl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10 and 7\/798905.\nAnswer: 1597810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 12*p**2 - p - 7. Let h be b(-12). Let g be (4*(-3)\/30)\/(1\/5). Let x = h + g. Solve -2 = x*w + 2*v - 3, w = 2*v + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 2. Calculate t(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15596*w**3 + 27437?\nAnswer: 46788*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 - 8*r + 27. What is the lowest common multiple of 15 and x(4)?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(17)*-2 + sqrt(612)*1)**2.\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4)*w)**(-1\/10) assuming w is positive.\nAnswer: w**(-7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*t + 7*t. Let j be (4\/6)\/(t\/9). Let c(f) = 4*f**3 - 2*f**2 + 2*f - 1. Determine c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -2\/21, -0.2, 0.81, -1.9, 14?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2702, 2759, 2826, 2909, 3014?\n\"Answer: u**3 - u**2 + 53*u + 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4620 = -190*l + 185*l. Let t = l - -783. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7))\/g**(-1\/2))\/(g**9\/g**(-2\/15)) assuming g is positive.\nAnswer: g**(-1543\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 25 + 54 + 119 + 2*c + 98.\nAnswer: 2*c + 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*j - 604 - 11 = -3 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -1993986.\nAnswer: -15951888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12*g**2 + 11*g - 38. Calculate r(3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m*y**3 + 201*m*y**2 + 8*m*y - 2*m - 5*y**2 - 98*y + 3 wrt y.\nAnswer: 24*m*y + 402*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 35*k**2 - 42*k + 235. What are the prime factors of j(10)?\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + i)*(-1 + 1 + 1) - i + 0*i + 4*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1489180 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4)*g)\/g*g)\/(g*g**(14\/9))*g**(-9)*g\/g**(-2)*g)**(-11\/2) assuming g is positive.\nAnswer: g**(1045\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2 (c) 0.2 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1242330414 (base 5) to base 11.\nAnswer: -18201a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 34*p - 24. What is the tens digit of v(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/((-2)\/24). Let x = n - 11. Let g(w) = -3*w - 1. Let m be g(x). Solve -2*v + 0*v = m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 9*x**2 + 21*x**2 + 2*x**2 + 22*x**2.\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50765 and 239525.\nAnswer: 17006275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26823780?\nAnswer: 2, 3, 5, 149021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616034314 and 938?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20620223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -948.313043234 + -0.07?\nAnswer: -948.383043234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027 divided by -1027?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c + 382. What are the prime factors of q(8)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 1817857*f\/5 - 98167194\/5.\nAnswer: (f - 54)*(f + 1817911)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20064 divided by 1?\nAnswer: 20064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 5*i + 24.\nAnswer: -(i - 8)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 46.3. Let i = -0.5 + k. Let p = i + 0.8. Which is the closest to 0.1? (a) 0.4 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 397, 1224, 2821, 5446?\nAnswer: 9357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*i**5 + 8*i**4 - i**2 + 31?\nAnswer: 11280*i**2 + 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7071536*s**3 + 70315*s**2 + 1?\nAnswer: -42429216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-595)\/140 - 1\/(-4). Let f be j\/(-18)*-3 - 352\/(-24). Sort 5, f, 4, -4 in decreasing order.\nAnswer: f, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-75)*(-5)\/3. Suppose -4*p = -5*v - 3 + 48, 0 = 5*p - 4*v + 45. Let h = 0.7 + -1. Which is the nearest to -1? (a) p (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 4*o + 9. Let i be a(3). Solve -i*n = 15 - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5749.61 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15026.\nAnswer: 2, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + 2029?\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533122940 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174.8 + 161. Let l = f - -13.799886. What is l rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*d - 37, 43*d + i = 39*d - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -60, -410, -85, 1?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 217453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let n = 0 - w. Let a = 14 + -15. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5475371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 9 - -13 - -35 - (-22 - -1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 39, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.091 and -19.\nAnswer: -18.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = -200520*w + 200481*w + 1293 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + 14*f**2 - 12*f - 5. Let x be g(7). Suppose 3460 = 12*w - x. List the prime factors of w.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + 1 - (-444 + 450)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 4*r, 3*m = -5*r - 0*m - 9. Let n be r\/(-2)*2\/4. Find the third derivative of 2*g**5 + 0 + n + 2*g**2 wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -2, -5 in increasing order.\nAnswer: -5, -3, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 31, 49?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.3. Let v(j) = -j**2 - 9*j - 12. Let f be v(-8). Which is the third biggest value? (a) y (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8530257, -8530189, -8530121, -8530053, -8529985?\nAnswer: -8529917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0*j*j**4*(j*j**(2\/11))**10 assuming j is positive.\nAnswer: j**(185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 3 - 3)*(244*k + 10*k**4 - 244*k) + (-2*k**3 + k - k)*(-3*k**2 - k**2 + 2*k**2) - 40*k**3 + 40*k**3 + k**5.\nAnswer: -15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -580, -571, -548, -505, -436, -335, -196?\n\"Answer: i**3 + i**2 - i - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 14. Suppose -2*u - 9 = -3*u. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173992 - -173986. Let s be 0 - (-5 + 0\/1). Let c be s + 2 + -3 + 1. Put -3, -1, n, c in decreasing order.\nAnswer: c, -1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(34))\/((sqrt(2)*2 + sqrt(2))*4 - sqrt(2)) - ((sqrt(425) + sqrt(17) + 3)**2 - (sqrt(612) + -1 + sqrt(17))).\nAnswer: -622 - 320*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 10, p: 4}. What is prob of picking 1 y and 3 p?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71877116281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3386?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*(sqrt(567)*-4 + sqrt(567)) - sqrt(567)*-1*-1)*-5)**2.\nAnswer: -170100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 26*n - 8. Let d(k) = -6*k**2 + 78*k + 26. Calculate -16*c(s) - 5*d(s).\nAnswer: -2*s**2 + 26*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/34782 and 53\/11?\nAnswer: 34782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 3*k + (0 - 2 + 0)*(5*k + 0*k - 4*k))*(0*k + 0*k - k**4).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 12*u**2 - 34*u - 113. Give j(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 592\/11947 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21712490?\nAnswer: 2, 5, 2171249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {e: 6, d: 3, a: 2, o: 1, q: 2, y: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:04 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 - -252. Solve -1 = -r, c*o + 4*r = 8 - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551371 (base 9) in base 16?\nAnswer: 5057e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.7. Let m = 0.8 + h. Let o be (1*2\/(-36))\/((-4)\/16). Sort -8, o, m.\nAnswer: -8, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171944, -172008, -172080, -172166, -172272?\n\"Answer: -x**3 + 2*x**2 - 63*x - 171882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 21*w - 99. Calculate o(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, 3, 0.6 in decreasing order.\nAnswer: 3, 0.6, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z = 39*z - 20. Let h(v) = v - 5*v + z*v. Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.291977 decades to millennia.\nAnswer: 0.02291977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30804 divided by -4.\nAnswer: 7701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16008 and 312156?\nAnswer: 624312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22160\/83 + -267. Let o = 6068\/747 + h. Calculate the common denominator of o and (8\/(-10))\/(28\/(-240)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6662*v - 12 = -6666*v - 2*d, -v + 4 = d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/((-60)\/27).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 1369, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-32)\/192 - (-21)\/18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91.1 - -87. Let v = 6 + o. Let u = 2 - v. What is the second smallest value in 3, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 584 and 12800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 899662475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose 6*v - 3*v = x*r + 5, 0 = -3*v + 3*r + 9. Suppose -2*p - 29 = -3*q, -5*p - v = -q - 17. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:09 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/223999 - -512285733\/2239990. Let f = -232 + n. What is the common denominator of ((-369)\/20)\/(24\/(-16)) and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 + 277125*c**3 - 3811928*c**2 wrt c?\nAnswer: 48*c + 1662750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**3 + 3*m**2 + 3*m. Let t(x) = -8*x**3 - 4*x**2 - 4*x. Suppose -z = -11 + 2. Suppose -5*p + 11 + z = 0. Determine p*k(o) + 3*t(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4164 = -2*z - j, -5*j = -4*z + 8334. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-375 - -361) + (-7 - -16) + -38?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Suppose 0 = -20*n + 89 - 29. Which is the nearest to z? (a) 0 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -1331, -1853, -2375, -2897?\nAnswer: -3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366547671 take away 24906.63?\nAnswer: 366522764.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -998 divided by 2250.\nAnswer: -499\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -3, -0.089, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-2*(3 - 4). Suppose u*n = 7*n - 120. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 3. Let y(w) = 2*w + 8. Suppose 0 = -x - 4*j - 3, -4*j = x - 5*j + 13. Give x*b(c) + 4*y(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*t - 9. Let p(h) = h + 10. Let j be p(t). Suppose -4*y - 3*x = y - 14, 2*y = -2*x + 4. Solve 2*v + 2 = j, -5*f - y*v = 2 + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-152)\/(-50)*179*(-17 + 12)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-70)\/30 - -1. Which is the nearest to -1? (a) 3 (b) 2 (c) r (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -371.40741 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round -6489006 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -22*b**3 + 4*b**2 + 5*b + 3. Let r be a(-2). Suppose -2*m - r = -5*m - 2*u, m - 2*u - 51 = 0. What are the prime factors of m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (3 - 5) - -2) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*(5 + 2*sqrt(468)) + (sqrt(468)*-4 + sqrt(468) + 5)*2)*-6)**2.\nAnswer: 155520*sqrt(13) + 5473152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 22308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -2 (c) 1308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 0, 85, 9\/4?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509884613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (218\/4905)\/((1955\/(-150))\/(-17)).\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 2 + 0 + 2. Let l(h) be the third derivative of h**4\/8 + 5*h**3\/6 + h**2. Let v(n) = 20*n + 32. Let i(o) = -32*l(o) + 5*v(o). Calculate i(z(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53692931849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11664 + 58324\/5. Which is the fourth smallest value? (a) -2 (b) t (c) 3\/163 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.7506 - 0.0494. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1083520*a**2*u**3 + 30*a**2*u**2 + 1878*a**2 + a - 4598 wrt u?\nAnswer: 3250560*a**2*u**2 + 60*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 3*k + 723 - 720 - k**2)*(-3*k**2 + 5*k**2 - 4*k**2) in the form u*k**4 + g*k**2 + c*k + a*k**3 + x and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**3 + 33*m**2 - 28*m - 14. Let c(v) = -5*v**3 + 17*v**2 - 14*v - 7. Let z(p) = -7*c(p) + 4*i(p). What is the units digit of z(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 29*v**2 + 55*v - 27. Let j be w(27). Which is the biggest value? (a) j (b) -2\/3 (c) 0.1 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.8366 nanometers to kilometers.\nAnswer: 0.0000000000518366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/85770 and -151\/31020150.\nAnswer: 93060450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (332\/1162)\/((-4)\/(-11746)).\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 2\/9, 6\/427, 2, -5, 7\/3 in decreasing order.\nAnswer: 7\/3, 2, 2\/9, 6\/427, -2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36215.\nAnswer: 5, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 966476.7?\nAnswer: -966476.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-1\/7)*v)\/v**7)**(1\/24))**29 assuming v is positive.\nAnswer: v**(-841\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1333 + 219 = -2*b, -1650 = -3*b - 4*q. What are the prime factors of b?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 241?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 29 + 11. Suppose 3*u = v + 11. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 81*t - 28 = 83*t, 2*t = b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*v - 13*i + 29 = 0, -3 = -3*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 + (3 + -2 - 9) + 51?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 15\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/266*8\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and -2021\/5122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45*(-18)\/(-108))\/(-9).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}